CINXE.COM

<!DOCTYPE html> <html class="client-nojs vector-feature-language-in-header-enabled vector-feature-language-in-main-page-header-disabled vector-feature-sticky-header-disabled vector-feature-page-tools-pinned-disabled vector-feature-toc-pinned-clientpref-1 vector-feature-main-menu-pinned-disabled vector-feature-limited-width-clientpref-1 vector-feature-limited-width-content-enabled vector-feature-custom-font-size-clientpref-1 vector-feature-appearance-pinned-clientpref-1 vector-feature-night-mode-enabled skin-theme-clientpref-day vector-toc-available" lang="en" dir="ltr"> <head> <meta charset="UTF-8"> <title>Crystallography - Wikipedia</title> <script>(function(){var className="client-js vector-feature-language-in-header-enabled vector-feature-language-in-main-page-header-disabled vector-feature-sticky-header-disabled vector-feature-page-tools-pinned-disabled vector-feature-toc-pinned-clientpref-1 vector-feature-main-menu-pinned-disabled vector-feature-limited-width-clientpref-1 vector-feature-limited-width-content-enabled vector-feature-custom-font-size-clientpref-1 vector-feature-appearance-pinned-clientpref-1 vector-feature-night-mode-enabled skin-theme-clientpref-day vector-toc-available";var cookie=document.cookie.match(/(?:^|; )enwikimwclientpreferences=([^;]+)/);if(cookie){cookie[1].split('%2C').forEach(function(pref){className=className.replace(new RegExp('(^| )'+pref.replace(/-clientpref-\w+$|[^\w-]+/g,'')+'-clientpref-\\w+( |$)'),'$1'+pref+'$2');});}document.documentElement.className=className;}());RLCONF={"wgBreakFrames":false,"wgSeparatorTransformTable":["",""],"wgDigitTransformTable":["",""],"wgDefaultDateFormat":"dmy", "wgMonthNames":["","January","February","March","April","May","June","July","August","September","October","November","December"],"wgRequestId":"1203bcb0-1ac8-4769-b94f-2b33d32c5ca5","wgCanonicalNamespace":"","wgCanonicalSpecialPageName":false,"wgNamespaceNumber":0,"wgPageName":"Crystallography","wgTitle":"Crystallography","wgCurRevisionId":1244336610,"wgRevisionId":1244336610,"wgArticleId":7794,"wgIsArticle":true,"wgIsRedirect":false,"wgAction":"view","wgUserName":null,"wgUserGroups":["*"],"wgCategories":["Articles with short description","Short description is different from Wikidata","Articles needing additional references from July 2024","All articles needing additional references","Crystallography","Chemistry","Condensed matter physics","Instrumental analysis","Materials science","Neutron-related techniques","Synchrotron-related techniques"],"wgPageViewLanguage":"en","wgPageContentLanguage":"en","wgPageContentModel":"wikitext","wgRelevantPageName":"Crystallography", "wgRelevantArticleId":7794,"wgIsProbablyEditable":true,"wgRelevantPageIsProbablyEditable":true,"wgRestrictionEdit":[],"wgRestrictionMove":[],"wgNoticeProject":"wikipedia","wgCiteReferencePreviewsActive":false,"wgFlaggedRevsParams":{"tags":{"status":{"levels":1}}},"wgMediaViewerOnClick":true,"wgMediaViewerEnabledByDefault":true,"wgPopupsFlags":0,"wgVisualEditor":{"pageLanguageCode":"en","pageLanguageDir":"ltr","pageVariantFallbacks":"en"},"wgMFDisplayWikibaseDescriptions":{"search":true,"watchlist":true,"tagline":false,"nearby":true},"wgWMESchemaEditAttemptStepOversample":false,"wgWMEPageLength":20000,"wgRelatedArticlesCompat":[],"wgCentralAuthMobileDomain":false,"wgEditSubmitButtonLabelPublish":true,"wgULSPosition":"interlanguage","wgULSisCompactLinksEnabled":false,"wgVector2022LanguageInHeader":true,"wgULSisLanguageSelectorEmpty":false,"wgWikibaseItemId":"Q160398","wgCheckUserClientHintsHeadersJsApi":["brands","architecture","bitness","fullVersionList","mobile","model","platform", "platformVersion"],"GEHomepageSuggestedEditsEnableTopics":true,"wgGETopicsMatchModeEnabled":false,"wgGEStructuredTaskRejectionReasonTextInputEnabled":false,"wgGELevelingUpEnabledForUser":false};RLSTATE={"ext.globalCssJs.user.styles":"ready","site.styles":"ready","user.styles":"ready","ext.globalCssJs.user":"ready","user":"ready","user.options":"loading","ext.cite.styles":"ready","skins.vector.search.codex.styles":"ready","skins.vector.styles":"ready","skins.vector.icons":"ready","jquery.makeCollapsible.styles":"ready","ext.wikimediamessages.styles":"ready","ext.visualEditor.desktopArticleTarget.noscript":"ready","ext.uls.interlanguage":"ready","wikibase.client.init":"ready","ext.wikimediaBadges":"ready"};RLPAGEMODULES=["ext.cite.ux-enhancements","mediawiki.page.media","ext.scribunto.logs","site","mediawiki.page.ready","jquery.makeCollapsible","mediawiki.toc","skins.vector.js","ext.centralNotice.geoIP","ext.centralNotice.startUp","ext.gadget.ReferenceTooltips","ext.gadget.switcher", "ext.urlShortener.toolbar","ext.centralauth.centralautologin","mmv.bootstrap","ext.popups","ext.visualEditor.desktopArticleTarget.init","ext.visualEditor.targetLoader","ext.echo.centralauth","ext.eventLogging","ext.wikimediaEvents","ext.navigationTiming","ext.uls.interface","ext.cx.eventlogging.campaigns","ext.cx.uls.quick.actions","wikibase.client.vector-2022","ext.checkUser.clientHints","ext.quicksurveys.init","ext.growthExperiments.SuggestedEditSession","wikibase.sidebar.tracking"];</script> <script>(RLQ=window.RLQ||[]).push(function(){mw.loader.impl(function(){return["user.options@12s5i",function($,jQuery,require,module){mw.user.tokens.set({"patrolToken":"+\\","watchToken":"+\\","csrfToken":"+\\"}); }];});});</script> <link rel="stylesheet" href="/w/load.php?lang=en&modules=ext.cite.styles%7Cext.uls.interlanguage%7Cext.visualEditor.desktopArticleTarget.noscript%7Cext.wikimediaBadges%7Cext.wikimediamessages.styles%7Cjquery.makeCollapsible.styles%7Cskins.vector.icons%2Cstyles%7Cskins.vector.search.codex.styles%7Cwikibase.client.init&only=styles&skin=vector-2022"> <script async="" src="/w/load.php?lang=en&modules=startup&only=scripts&raw=1&skin=vector-2022"></script> <meta name="ResourceLoaderDynamicStyles" content=""> <link rel="stylesheet" href="/w/load.php?lang=en&modules=site.styles&only=styles&skin=vector-2022"> <meta name="generator" content="MediaWiki 1.44.0-wmf.4"> <meta name="referrer" content="origin"> <meta name="referrer" content="origin-when-cross-origin"> <meta name="robots" content="max-image-preview:standard"> <meta name="format-detection" content="telephone=no"> <meta property="og:image" content="https://upload.wikimedia.org/wikipedia/commons/6/68/Stohrem.jpg"> <meta property="og:image:width" content="1200"> <meta property="og:image:height" content="614"> <meta property="og:image" content="https://upload.wikimedia.org/wikipedia/commons/6/68/Stohrem.jpg"> <meta property="og:image:width" content="800"> <meta property="og:image:height" content="409"> <meta property="og:image:width" content="640"> <meta property="og:image:height" content="327"> <meta name="viewport" content="width=1120"> <meta property="og:title" content="Crystallography - Wikipedia"> <meta property="og:type" content="website"> <link rel="preconnect" href="//upload.wikimedia.org"> <link rel="alternate" media="only screen and (max-width: 640px)" href="//en.m.wikipedia.org/wiki/Crystallography"> <link rel="alternate" type="application/x-wiki" title="Edit this page" href="/w/index.php?title=Crystallography&action=edit"> <link rel="apple-touch-icon" href="/static/apple-touch/wikipedia.png"> <link rel="icon" href="/static/favicon/wikipedia.ico"> <link rel="search" type="application/opensearchdescription+xml" href="/w/rest.php/v1/search" title="Wikipedia (en)"> <link rel="EditURI" type="application/rsd+xml" href="//en.wikipedia.org/w/api.php?action=rsd"> <link rel="canonical" href="https://en.wikipedia.org/wiki/Crystallography"> <link rel="license" href="https://creativecommons.org/licenses/by-sa/4.0/deed.en"> <link rel="alternate" type="application/atom+xml" title="Wikipedia Atom feed" href="/w/index.php?title=Special:RecentChanges&feed=atom"> <link rel="dns-prefetch" href="//meta.wikimedia.org" /> <link rel="dns-prefetch" href="//login.wikimedia.org"> </head> <body class="skin--responsive skin-vector skin-vector-search-vue mediawiki ltr sitedir-ltr mw-hide-empty-elt ns-0 ns-subject mw-editable page-Crystallography rootpage-Crystallography skin-vector-2022 action-view"><a class="mw-jump-link" href="#bodyContent">Jump to content</a> <div class="vector-header-container"> <header class="vector-header mw-header"> <div class="vector-header-start"> <nav class="vector-main-menu-landmark" aria-label="Site"> <div id="vector-main-menu-dropdown" class="vector-dropdown vector-main-menu-dropdown vector-button-flush-left vector-button-flush-right" > <input type="checkbox" id="vector-main-menu-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-main-menu-dropdown" class="vector-dropdown-checkbox " aria-label="Main menu" > <label id="vector-main-menu-dropdown-label" for="vector-main-menu-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only " aria-hidden="true" ><span class="vector-icon mw-ui-icon-menu mw-ui-icon-wikimedia-menu"></span> <span class="vector-dropdown-label-text">Main menu</span> </label> <div class="vector-dropdown-content"> <div id="vector-main-menu-unpinned-container" class="vector-unpinned-container"> <div id="vector-main-menu" class="vector-main-menu vector-pinnable-element"> <div class="vector-pinnable-header vector-main-menu-pinnable-header vector-pinnable-header-unpinned" data-feature-name="main-menu-pinned" data-pinnable-element-id="vector-main-menu" data-pinned-container-id="vector-main-menu-pinned-container" data-unpinned-container-id="vector-main-menu-unpinned-container" > <div class="vector-pinnable-header-label">Main menu</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-main-menu.pin">move to sidebar</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-main-menu.unpin">hide</button> </div> <div id="p-navigation" class="vector-menu mw-portlet mw-portlet-navigation" > <div class="vector-menu-heading"> Navigation </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="n-mainpage-description" class="mw-list-item"><a href="/wiki/Main_Page" title="Visit the main page [z]" accesskey="z"><span>Main page</span></a></li><li id="n-contents" class="mw-list-item"><a href="/wiki/Wikipedia:Contents" title="Guides to browsing Wikipedia"><span>Contents</span></a></li><li id="n-currentevents" class="mw-list-item"><a href="/wiki/Portal:Current_events" title="Articles related to current events"><span>Current events</span></a></li><li id="n-randompage" class="mw-list-item"><a href="/wiki/Special:Random" title="Visit a randomly selected article [x]" accesskey="x"><span>Random article</span></a></li><li id="n-aboutsite" class="mw-list-item"><a href="/wiki/Wikipedia:About" title="Learn about Wikipedia and how it works"><span>About Wikipedia</span></a></li><li id="n-contactpage" class="mw-list-item"><a href="//en.wikipedia.org/wiki/Wikipedia:Contact_us" title="How to contact Wikipedia"><span>Contact us</span></a></li> </ul> </div> </div> <div id="p-interaction" class="vector-menu mw-portlet mw-portlet-interaction" > <div class="vector-menu-heading"> Contribute </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="n-help" class="mw-list-item"><a href="/wiki/Help:Contents" title="Guidance on how to use and edit Wikipedia"><span>Help</span></a></li><li id="n-introduction" class="mw-list-item"><a href="/wiki/Help:Introduction" title="Learn how to edit Wikipedia"><span>Learn to edit</span></a></li><li id="n-portal" class="mw-list-item"><a href="/wiki/Wikipedia:Community_portal" title="The hub for editors"><span>Community portal</span></a></li><li id="n-recentchanges" class="mw-list-item"><a href="/wiki/Special:RecentChanges" title="A list of recent changes to Wikipedia [r]" accesskey="r"><span>Recent changes</span></a></li><li id="n-upload" class="mw-list-item"><a href="/wiki/Wikipedia:File_upload_wizard" title="Add images or other media for use on Wikipedia"><span>Upload file</span></a></li> </ul> </div> </div> </div> </div> </div> </div> </nav> <a href="/wiki/Main_Page" class="mw-logo"> <img class="mw-logo-icon" src="/static/images/icons/wikipedia.png" alt="" aria-hidden="true" height="50" width="50"> <span class="mw-logo-container skin-invert"> <img class="mw-logo-wordmark" alt="Wikipedia" src="/static/images/mobile/copyright/wikipedia-wordmark-en.svg" style="width: 7.5em; height: 1.125em;"> <img class="mw-logo-tagline" alt="The Free Encyclopedia" src="/static/images/mobile/copyright/wikipedia-tagline-en.svg" width="117" height="13" style="width: 7.3125em; height: 0.8125em;"> </span> </a> </div> <div class="vector-header-end"> <div id="p-search" role="search" class="vector-search-box-vue vector-search-box-collapses vector-search-box-show-thumbnail vector-search-box-auto-expand-width vector-search-box"> <a href="/wiki/Special:Search" class="cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only search-toggle" title="Search Wikipedia [f]" accesskey="f"><span class="vector-icon mw-ui-icon-search mw-ui-icon-wikimedia-search"></span> <span>Search</span> </a> <div class="vector-typeahead-search-container"> <div class="cdx-typeahead-search cdx-typeahead-search--show-thumbnail cdx-typeahead-search--auto-expand-width"> <form action="/w/index.php" id="searchform" class="cdx-search-input cdx-search-input--has-end-button"> <div id="simpleSearch" class="cdx-search-input__input-wrapper" data-search-loc="header-moved"> <div class="cdx-text-input cdx-text-input--has-start-icon"> <input class="cdx-text-input__input" type="search" name="search" placeholder="Search Wikipedia" aria-label="Search Wikipedia" autocapitalize="sentences" title="Search Wikipedia [f]" accesskey="f" id="searchInput" > <span class="cdx-text-input__icon cdx-text-input__start-icon"></span> </div> <input type="hidden" name="title" value="Special:Search"> </div> <button class="cdx-button cdx-search-input__end-button">Search</button> </form> </div> </div> </div> <nav class="vector-user-links vector-user-links-wide" aria-label="Personal tools"> <div class="vector-user-links-main"> <div id="p-vector-user-menu-preferences" class="vector-menu mw-portlet emptyPortlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> </ul> </div> </div> <div id="p-vector-user-menu-userpage" class="vector-menu mw-portlet emptyPortlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> </ul> </div> </div> <nav class="vector-appearance-landmark" aria-label="Appearance"> <div id="vector-appearance-dropdown" class="vector-dropdown " title="Change the appearance of the page's font size, width, and color" > <input type="checkbox" id="vector-appearance-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-appearance-dropdown" class="vector-dropdown-checkbox " aria-label="Appearance" > <label id="vector-appearance-dropdown-label" for="vector-appearance-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only " aria-hidden="true" ><span class="vector-icon mw-ui-icon-appearance mw-ui-icon-wikimedia-appearance"></span> <span class="vector-dropdown-label-text">Appearance</span> </label> <div class="vector-dropdown-content"> <div id="vector-appearance-unpinned-container" class="vector-unpinned-container"> </div> </div> </div> </nav> <div id="p-vector-user-menu-notifications" class="vector-menu mw-portlet emptyPortlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> </ul> </div> </div> <div id="p-vector-user-menu-overflow" class="vector-menu mw-portlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="pt-sitesupport-2" class="user-links-collapsible-item mw-list-item user-links-collapsible-item"><a data-mw="interface" href="https://donate.wikimedia.org/wiki/Special:FundraiserRedirector?utm_source=donate&utm_medium=sidebar&utm_campaign=C13_en.wikipedia.org&uselang=en" class=""><span>Donate</span></a> </li> <li id="pt-createaccount-2" class="user-links-collapsible-item mw-list-item user-links-collapsible-item"><a data-mw="interface" href="/w/index.php?title=Special:CreateAccount&returnto=Crystallography" title="You are encouraged to create an account and log in; however, it is not mandatory" class=""><span>Create account</span></a> </li> <li id="pt-login-2" class="user-links-collapsible-item mw-list-item user-links-collapsible-item"><a data-mw="interface" href="/w/index.php?title=Special:UserLogin&returnto=Crystallography" title="You're encouraged to log in; however, it's not mandatory. [o]" accesskey="o" class=""><span>Log in</span></a> </li> </ul> </div> </div> </div> <div id="vector-user-links-dropdown" class="vector-dropdown vector-user-menu vector-button-flush-right vector-user-menu-logged-out" title="Log in and more options" > <input type="checkbox" id="vector-user-links-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-user-links-dropdown" class="vector-dropdown-checkbox " aria-label="Personal tools" > <label id="vector-user-links-dropdown-label" for="vector-user-links-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only " aria-hidden="true" ><span class="vector-icon mw-ui-icon-ellipsis mw-ui-icon-wikimedia-ellipsis"></span> <span class="vector-dropdown-label-text">Personal tools</span> </label> <div class="vector-dropdown-content"> <div id="p-personal" class="vector-menu mw-portlet mw-portlet-personal user-links-collapsible-item" title="User menu" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="pt-sitesupport" class="user-links-collapsible-item mw-list-item"><a href="https://donate.wikimedia.org/wiki/Special:FundraiserRedirector?utm_source=donate&utm_medium=sidebar&utm_campaign=C13_en.wikipedia.org&uselang=en"><span>Donate</span></a></li><li id="pt-createaccount" class="user-links-collapsible-item mw-list-item"><a href="/w/index.php?title=Special:CreateAccount&returnto=Crystallography" title="You are encouraged to create an account and log in; however, it is not mandatory"><span class="vector-icon mw-ui-icon-userAdd mw-ui-icon-wikimedia-userAdd"></span> <span>Create account</span></a></li><li id="pt-login" class="user-links-collapsible-item mw-list-item"><a href="/w/index.php?title=Special:UserLogin&returnto=Crystallography" title="You're encouraged to log in; however, it's not mandatory. [o]" accesskey="o"><span class="vector-icon mw-ui-icon-logIn mw-ui-icon-wikimedia-logIn"></span> <span>Log in</span></a></li> </ul> </div> </div> <div id="p-user-menu-anon-editor" class="vector-menu mw-portlet mw-portlet-user-menu-anon-editor" > <div class="vector-menu-heading"> Pages for logged out editors <a href="/wiki/Help:Introduction" aria-label="Learn more about editing"><span>learn more</span></a> </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="pt-anoncontribs" class="mw-list-item"><a href="/wiki/Special:MyContributions" title="A list of edits made from this IP address [y]" accesskey="y"><span>Contributions</span></a></li><li id="pt-anontalk" class="mw-list-item"><a href="/wiki/Special:MyTalk" title="Discussion about edits from this IP address [n]" accesskey="n"><span>Talk</span></a></li> </ul> </div> </div> </div> </div> </nav> </div> </header> </div> <div class="mw-page-container"> <div class="mw-page-container-inner"> <div class="vector-sitenotice-container"> <div id="siteNotice"></div> </div> <div class="vector-column-start"> <div class="vector-main-menu-container"> <div id="mw-navigation"> <nav id="mw-panel" class="vector-main-menu-landmark" aria-label="Site"> <div id="vector-main-menu-pinned-container" class="vector-pinned-container"> </div> </nav> </div> </div> <div class="vector-sticky-pinned-container"> <nav id="mw-panel-toc" aria-label="Contents" data-event-name="ui.sidebar-toc" class="mw-table-of-contents-container vector-toc-landmark"> <div id="vector-toc-pinned-container" class="vector-pinned-container"> <div id="vector-toc" class="vector-toc vector-pinnable-element"> <div class="vector-pinnable-header vector-toc-pinnable-header vector-pinnable-header-pinned" data-feature-name="toc-pinned" data-pinnable-element-id="vector-toc" > <h2 class="vector-pinnable-header-label">Contents</h2> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-toc.pin">move to sidebar</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-toc.unpin">hide</button> </div> <ul class="vector-toc-contents" id="mw-panel-toc-list"> <li id="toc-mw-content-text" class="vector-toc-list-item vector-toc-level-1"> <a href="#" class="vector-toc-link"> <div class="vector-toc-text">(Top)</div> </a> </li> <li id="toc-History_and_timeline" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#History_and_timeline"> <div class="vector-toc-text"> <span class="vector-toc-numb">1</span> <span>History and timeline</span> </div> </a> <ul id="toc-History_and_timeline-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Methodology" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Methodology"> <div class="vector-toc-text"> <span class="vector-toc-numb">2</span> <span>Methodology</span> </div> </a> <ul id="toc-Methodology-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Applications_in_various_areas" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Applications_in_various_areas"> <div class="vector-toc-text"> <span class="vector-toc-numb">3</span> <span>Applications in various areas</span> </div> </a> <button aria-controls="toc-Applications_in_various_areas-sublist" class="cdx-button cdx-button--weight-quiet cdx-button--icon-only vector-toc-toggle"> <span class="vector-icon mw-ui-icon-wikimedia-expand"></span> <span>Toggle Applications in various areas subsection</span> </button> <ul id="toc-Applications_in_various_areas-sublist" class="vector-toc-list"> <li id="toc-Materials_science" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Materials_science"> <div class="vector-toc-text"> <span class="vector-toc-numb">3.1</span> <span>Materials science</span> </div> </a> <ul id="toc-Materials_science-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Biology" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Biology"> <div class="vector-toc-text"> <span class="vector-toc-numb">3.2</span> <span>Biology</span> </div> </a> <ul id="toc-Biology-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-Notation" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Notation"> <div class="vector-toc-text"> <span class="vector-toc-numb">4</span> <span>Notation</span> </div> </a> <ul id="toc-Notation-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Reference_literature" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Reference_literature"> <div class="vector-toc-text"> <span class="vector-toc-numb">5</span> <span>Reference literature</span> </div> </a> <ul id="toc-Reference_literature-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Notable_scientists" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Notable_scientists"> <div class="vector-toc-text"> <span class="vector-toc-numb">6</span> <span>Notable scientists</span> </div> </a> <ul id="toc-Notable_scientists-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-See_also" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#See_also"> <div class="vector-toc-text"> <span class="vector-toc-numb">7</span> <span>See also</span> </div> </a> <ul id="toc-See_also-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-References" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#References"> <div class="vector-toc-text"> <span class="vector-toc-numb">8</span> <span>References</span> </div> </a> <ul id="toc-References-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-External_links" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#External_links"> <div class="vector-toc-text"> <span class="vector-toc-numb">9</span> <span>External links</span> </div> </a> <ul id="toc-External_links-sublist" class="vector-toc-list"> </ul> </li> </ul> </div> </div> </nav> </div> </div> <div class="mw-content-container"> <main id="content" class="mw-body"> <header class="mw-body-header vector-page-titlebar"> <nav aria-label="Contents" class="vector-toc-landmark"> <div id="vector-page-titlebar-toc" class="vector-dropdown vector-page-titlebar-toc vector-button-flush-left" > <input type="checkbox" id="vector-page-titlebar-toc-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-page-titlebar-toc" class="vector-dropdown-checkbox " aria-label="Toggle the table of contents" > <label id="vector-page-titlebar-toc-label" for="vector-page-titlebar-toc-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only " aria-hidden="true" ><span class="vector-icon mw-ui-icon-listBullet mw-ui-icon-wikimedia-listBullet"></span> <span class="vector-dropdown-label-text">Toggle the table of contents</span> </label> <div class="vector-dropdown-content"> <div id="vector-page-titlebar-toc-unpinned-container" class="vector-unpinned-container"> </div> </div> </div> </nav> <h1 id="firstHeading" class="firstHeading mw-first-heading"><span class="mw-page-title-main">Crystallography</span></h1> <div id="p-lang-btn" class="vector-dropdown mw-portlet mw-portlet-lang" > <input type="checkbox" id="p-lang-btn-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-p-lang-btn" class="vector-dropdown-checkbox mw-interlanguage-selector" aria-label="Go to an article in another language. Available in 78 languages" > <label id="p-lang-btn-label" for="p-lang-btn-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--action-progressive mw-portlet-lang-heading-78" aria-hidden="true" ><span class="vector-icon mw-ui-icon-language-progressive mw-ui-icon-wikimedia-language-progressive"></span> <span class="vector-dropdown-label-text">78 languages</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-af mw-list-item"><a href="https://af.wikipedia.org/wiki/Kristallografie" title="Kristallografie – Afrikaans" lang="af" hreflang="af" data-title="Kristallografie" data-language-autonym="Afrikaans" data-language-local-name="Afrikaans" class="interlanguage-link-target"><span>Afrikaans</span></a></li><li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://ar.wikipedia.org/wiki/%D8%B9%D9%84%D9%85_%D8%A7%D9%84%D8%A8%D9%84%D9%88%D8%B1%D8%A7%D8%AA" title="علم البلورات – Arabic" lang="ar" hreflang="ar" data-title="علم البلورات" data-language-autonym="العربية" data-language-local-name="Arabic" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-an mw-list-item"><a href="https://an.wikipedia.org/wiki/Cristalograf%C3%ADa" title="Cristalografía – Aragonese" lang="an" hreflang="an" data-title="Cristalografía" data-language-autonym="Aragonés" data-language-local-name="Aragonese" class="interlanguage-link-target"><span>Aragonés</span></a></li><li class="interlanguage-link interwiki-ast mw-list-item"><a href="https://ast.wikipedia.org/wiki/Cristalograf%C3%ADa" title="Cristalografía – Asturian" lang="ast" hreflang="ast" data-title="Cristalografía" data-language-autonym="Asturianu" data-language-local-name="Asturian" class="interlanguage-link-target"><span>Asturianu</span></a></li><li class="interlanguage-link interwiki-az mw-list-item"><a href="https://az.wikipedia.org/wiki/Kristalloqrafiya" title="Kristalloqrafiya – Azerbaijani" lang="az" hreflang="az" data-title="Kristalloqrafiya" data-language-autonym="Azərbaycanca" data-language-local-name="Azerbaijani" class="interlanguage-link-target"><span>Azərbaycanca</span></a></li><li class="interlanguage-link interwiki-bn mw-list-item"><a href="https://bn.wikipedia.org/wiki/%E0%A6%95%E0%A7%87%E0%A6%B2%E0%A6%BE%E0%A6%B8%E0%A6%AC%E0%A6%BF%E0%A6%9C%E0%A7%8D%E0%A6%9E%E0%A6%BE%E0%A6%A8" title="কেলাসবিজ্ঞান – Bangla" lang="bn" hreflang="bn" data-title="কেলাসবিজ্ঞান" data-language-autonym="বাংলা" data-language-local-name="Bangla" class="interlanguage-link-target"><span>বাংলা</span></a></li><li class="interlanguage-link interwiki-zh-min-nan mw-list-item"><a href="https://zh-min-nan.wikipedia.org/wiki/Kiat-chi%E2%81%BF-ha%CC%8Dk" title="Kiat-chiⁿ-ha̍k – Minnan" lang="nan" hreflang="nan" data-title="Kiat-chiⁿ-ha̍k" data-language-autonym="閩南語 / Bân-lâm-gú" data-language-local-name="Minnan" class="interlanguage-link-target"><span>閩南語 / Bân-lâm-gú</span></a></li><li class="interlanguage-link interwiki-be mw-list-item"><a href="https://be.wikipedia.org/wiki/%D0%9A%D1%80%D1%8B%D1%88%D1%82%D0%B0%D0%BB%D1%8F%D0%B3%D1%80%D0%B0%D1%84%D1%96%D1%8F" title="Крышталяграфія – Belarusian" lang="be" hreflang="be" data-title="Крышталяграфія" data-language-autonym="Беларуская" data-language-local-name="Belarusian" class="interlanguage-link-target"><span>Беларуская</span></a></li><li class="interlanguage-link interwiki-be-x-old mw-list-item"><a href="https://be-tarask.wikipedia.org/wiki/%D0%9A%D1%80%D1%8B%D1%88%D1%82%D0%B0%D0%BB%D1%8F%D0%B3%D1%80%D0%B0%D1%84%D1%96%D1%8F" title="Крышталяграфія – Belarusian (Taraškievica orthography)" lang="be-tarask" hreflang="be-tarask" data-title="Крышталяграфія" data-language-autonym="Беларуская (тарашкевіца)" data-language-local-name="Belarusian (Taraškievica orthography)" class="interlanguage-link-target"><span>Беларуская (тарашкевіца)</span></a></li><li class="interlanguage-link interwiki-bg mw-list-item"><a href="https://bg.wikipedia.org/wiki/%D0%9A%D1%80%D0%B8%D1%81%D1%82%D0%B0%D0%BB%D0%BE%D0%B3%D1%80%D0%B0%D1%84%D0%B8%D1%8F" title="Кристалография – Bulgarian" lang="bg" hreflang="bg" data-title="Кристалография" data-language-autonym="Български" data-language-local-name="Bulgarian" class="interlanguage-link-target"><span>Български</span></a></li><li class="interlanguage-link interwiki-bs mw-list-item"><a href="https://bs.wikipedia.org/wiki/Kristalografija" title="Kristalografija – Bosnian" lang="bs" hreflang="bs" data-title="Kristalografija" data-language-autonym="Bosanski" data-language-local-name="Bosnian" class="interlanguage-link-target"><span>Bosanski</span></a></li><li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/Cristal%C2%B7lografia" title="Cristal·lografia – Catalan" lang="ca" hreflang="ca" data-title="Cristal·lografia" data-language-autonym="Català" data-language-local-name="Catalan" class="interlanguage-link-target"><span>Català</span></a></li><li class="interlanguage-link interwiki-cs mw-list-item"><a href="https://cs.wikipedia.org/wiki/Krystalografie" title="Krystalografie – Czech" lang="cs" hreflang="cs" data-title="Krystalografie" data-language-autonym="Čeština" data-language-local-name="Czech" class="interlanguage-link-target"><span>Čeština</span></a></li><li class="interlanguage-link interwiki-da mw-list-item"><a href="https://da.wikipedia.org/wiki/Krystallografi" title="Krystallografi – Danish" lang="da" hreflang="da" data-title="Krystallografi" data-language-autonym="Dansk" data-language-local-name="Danish" class="interlanguage-link-target"><span>Dansk</span></a></li><li class="interlanguage-link interwiki-de mw-list-item"><a href="https://de.wikipedia.org/wiki/Kristallographie" title="Kristallographie – German" lang="de" hreflang="de" data-title="Kristallographie" data-language-autonym="Deutsch" data-language-local-name="German" class="interlanguage-link-target"><span>Deutsch</span></a></li><li class="interlanguage-link interwiki-et mw-list-item"><a href="https://et.wikipedia.org/wiki/Kristallograafia" title="Kristallograafia – Estonian" lang="et" hreflang="et" data-title="Kristallograafia" data-language-autonym="Eesti" data-language-local-name="Estonian" class="interlanguage-link-target"><span>Eesti</span></a></li><li class="interlanguage-link interwiki-el mw-list-item"><a href="https://el.wikipedia.org/wiki/%CE%9A%CF%81%CF%85%CF%83%CF%84%CE%B1%CE%BB%CE%BB%CE%BF%CE%B3%CF%81%CE%B1%CF%86%CE%AF%CE%B1" title="Κρυσταλλογραφία – Greek" lang="el" hreflang="el" data-title="Κρυσταλλογραφία" data-language-autonym="Ελληνικά" data-language-local-name="Greek" class="interlanguage-link-target"><span>Ελληνικά</span></a></li><li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/Cristalograf%C3%ADa" title="Cristalografía – Spanish" lang="es" hreflang="es" data-title="Cristalografía" data-language-autonym="Español" data-language-local-name="Spanish" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-eo mw-list-item"><a href="https://eo.wikipedia.org/wiki/Kristalografio" title="Kristalografio – Esperanto" lang="eo" hreflang="eo" data-title="Kristalografio" data-language-autonym="Esperanto" data-language-local-name="Esperanto" class="interlanguage-link-target"><span>Esperanto</span></a></li><li class="interlanguage-link interwiki-eu mw-list-item"><a href="https://eu.wikipedia.org/wiki/Kristalografia" title="Kristalografia – Basque" lang="eu" hreflang="eu" data-title="Kristalografia" data-language-autonym="Euskara" data-language-local-name="Basque" class="interlanguage-link-target"><span>Euskara</span></a></li><li class="interlanguage-link interwiki-fa mw-list-item"><a href="https://fa.wikipedia.org/wiki/%D8%A8%D9%84%D9%88%D8%B1%D9%86%DA%AF%D8%A7%D8%B1%DB%8C" title="بلورنگاری – Persian" lang="fa" hreflang="fa" data-title="بلورنگاری" data-language-autonym="فارسی" data-language-local-name="Persian" class="interlanguage-link-target"><span>فارسی</span></a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/Cristallographie" title="Cristallographie – French" lang="fr" hreflang="fr" data-title="Cristallographie" data-language-autonym="Français" data-language-local-name="French" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-ga mw-list-item"><a href="https://ga.wikipedia.org/wiki/Criostalagrafa%C3%ADocht" title="Criostalagrafaíocht – Irish" lang="ga" hreflang="ga" data-title="Criostalagrafaíocht" data-language-autonym="Gaeilge" data-language-local-name="Irish" class="interlanguage-link-target"><span>Gaeilge</span></a></li><li class="interlanguage-link interwiki-gl mw-list-item"><a href="https://gl.wikipedia.org/wiki/Cristalograf%C3%ADa" title="Cristalografía – Galician" lang="gl" hreflang="gl" data-title="Cristalografía" data-language-autonym="Galego" data-language-local-name="Galician" class="interlanguage-link-target"><span>Galego</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%EA%B2%B0%EC%A0%95%ED%95%99" title="결정학 – Korean" lang="ko" hreflang="ko" data-title="결정학" data-language-autonym="한국어" data-language-local-name="Korean" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-hy mw-list-item"><a href="https://hy.wikipedia.org/wiki/%D4%B2%D5%B5%D5%B8%D6%82%D6%80%D5%A5%D5%B2%D5%A1%D5%A3%D5%AB%D5%BF%D5%B8%D6%82%D5%A9%D5%B5%D5%B8%D6%82%D5%B6" title="Բյուրեղագիտություն – Armenian" lang="hy" hreflang="hy" data-title="Բյուրեղագիտություն" data-language-autonym="Հայերեն" data-language-local-name="Armenian" class="interlanguage-link-target"><span>Հայերեն</span></a></li><li class="interlanguage-link interwiki-hi mw-list-item"><a href="https://hi.wikipedia.org/wiki/%E0%A4%95%E0%A5%8D%E0%A4%B0%E0%A4%BF%E0%A4%B8%E0%A5%8D%E0%A4%9F%E0%A4%B2%E0%A4%95%E0%A5%80" title="क्रिस्टलकी – Hindi" lang="hi" hreflang="hi" data-title="क्रिस्टलकी" data-language-autonym="हिन्दी" data-language-local-name="Hindi" class="interlanguage-link-target"><span>हिन्दी</span></a></li><li class="interlanguage-link interwiki-hr mw-list-item"><a href="https://hr.wikipedia.org/wiki/Kristalografija" title="Kristalografija – Croatian" lang="hr" hreflang="hr" data-title="Kristalografija" data-language-autonym="Hrvatski" data-language-local-name="Croatian" class="interlanguage-link-target"><span>Hrvatski</span></a></li><li class="interlanguage-link interwiki-io mw-list-item"><a href="https://io.wikipedia.org/wiki/Kristalografio" title="Kristalografio – Ido" lang="io" hreflang="io" data-title="Kristalografio" data-language-autonym="Ido" data-language-local-name="Ido" class="interlanguage-link-target"><span>Ido</span></a></li><li class="interlanguage-link interwiki-id mw-list-item"><a href="https://id.wikipedia.org/wiki/Kristalografi" title="Kristalografi – Indonesian" lang="id" hreflang="id" data-title="Kristalografi" data-language-autonym="Bahasa Indonesia" data-language-local-name="Indonesian" class="interlanguage-link-target"><span>Bahasa Indonesia</span></a></li><li class="interlanguage-link interwiki-ia mw-list-item"><a href="https://ia.wikipedia.org/wiki/Crystallographia" title="Crystallographia – Interlingua" lang="ia" hreflang="ia" data-title="Crystallographia" data-language-autonym="Interlingua" data-language-local-name="Interlingua" class="interlanguage-link-target"><span>Interlingua</span></a></li><li class="interlanguage-link interwiki-zu mw-list-item"><a href="https://zu.wikipedia.org/wiki/Umchazamncwebe" title="Umchazamncwebe – Zulu" lang="zu" hreflang="zu" data-title="Umchazamncwebe" data-language-autonym="IsiZulu" data-language-local-name="Zulu" class="interlanguage-link-target"><span>IsiZulu</span></a></li><li class="interlanguage-link interwiki-is mw-list-item"><a href="https://is.wikipedia.org/wiki/Kristallafr%C3%A6%C3%B0i" title="Kristallafræði – Icelandic" lang="is" hreflang="is" data-title="Kristallafræði" data-language-autonym="Íslenska" data-language-local-name="Icelandic" class="interlanguage-link-target"><span>Íslenska</span></a></li><li class="interlanguage-link interwiki-it mw-list-item"><a href="https://it.wikipedia.org/wiki/Cristallografia" title="Cristallografia – Italian" lang="it" hreflang="it" data-title="Cristallografia" data-language-autonym="Italiano" data-language-local-name="Italian" class="interlanguage-link-target"><span>Italiano</span></a></li><li class="interlanguage-link interwiki-he mw-list-item"><a href="https://he.wikipedia.org/wiki/%D7%A7%D7%A8%D7%99%D7%A1%D7%98%D7%9C%D7%95%D7%92%D7%A8%D7%A4%D7%99%D7%94" title="קריסטלוגרפיה – Hebrew" lang="he" hreflang="he" data-title="קריסטלוגרפיה" data-language-autonym="עברית" data-language-local-name="Hebrew" class="interlanguage-link-target"><span>עברית</span></a></li><li class="interlanguage-link interwiki-kn mw-list-item"><a href="https://kn.wikipedia.org/wiki/%E0%B2%B8%E0%B3%8D%E0%B2%AB%E0%B2%9F%E0%B2%BF%E0%B2%95%E0%B2%B5%E0%B2%BF%E0%B2%9C%E0%B3%8D%E0%B2%9E%E0%B2%BE%E0%B2%A8" title="ಸ್ಫಟಿಕವಿಜ್ಞಾನ – Kannada" lang="kn" hreflang="kn" data-title="ಸ್ಫಟಿಕವಿಜ್ಞಾನ" data-language-autonym="ಕನ್ನಡ" data-language-local-name="Kannada" class="interlanguage-link-target"><span>ಕನ್ನಡ</span></a></li><li class="interlanguage-link interwiki-ka mw-list-item"><a href="https://ka.wikipedia.org/wiki/%E1%83%99%E1%83%A0%E1%83%98%E1%83%A1%E1%83%A2%E1%83%90%E1%83%9A%E1%83%9D%E1%83%92%E1%83%A0%E1%83%90%E1%83%A4%E1%83%98%E1%83%90" title="კრისტალოგრაფია – Georgian" lang="ka" hreflang="ka" data-title="კრისტალოგრაფია" data-language-autonym="ქართული" data-language-local-name="Georgian" class="interlanguage-link-target"><span>ქართული</span></a></li><li class="interlanguage-link interwiki-kk mw-list-item"><a href="https://kk.wikipedia.org/wiki/%D0%9A%D1%80%D0%B8%D1%81%D1%82%D0%B0%D0%BB%D0%BB%D0%BE%D0%B3%D1%80%D0%B0%D1%84%D0%B8%D1%8F" title="Кристаллография – Kazakh" lang="kk" hreflang="kk" data-title="Кристаллография" data-language-autonym="Қазақша" data-language-local-name="Kazakh" class="interlanguage-link-target"><span>Қазақша</span></a></li><li class="interlanguage-link interwiki-ky mw-list-item"><a href="https://ky.wikipedia.org/wiki/%D0%9A%D1%80%D0%B8%D1%81%D1%82%D0%B0%D0%BB%D0%BB%D0%BE%D0%B3%D1%80%D0%B0%D1%84%D0%B8%D1%8F" title="Кристаллография – Kyrgyz" lang="ky" hreflang="ky" data-title="Кристаллография" data-language-autonym="Кыргызча" data-language-local-name="Kyrgyz" class="interlanguage-link-target"><span>Кыргызча</span></a></li><li class="interlanguage-link interwiki-la mw-list-item"><a href="https://la.wikipedia.org/wiki/Crystallographia" title="Crystallographia – Latin" lang="la" hreflang="la" data-title="Crystallographia" data-language-autonym="Latina" data-language-local-name="Latin" class="interlanguage-link-target"><span>Latina</span></a></li><li class="interlanguage-link interwiki-lv mw-list-item"><a href="https://lv.wikipedia.org/wiki/Kristalogr%C4%81fija" title="Kristalogrāfija – Latvian" lang="lv" hreflang="lv" data-title="Kristalogrāfija" data-language-autonym="Latviešu" data-language-local-name="Latvian" class="interlanguage-link-target"><span>Latviešu</span></a></li><li class="interlanguage-link interwiki-lb mw-list-item"><a href="https://lb.wikipedia.org/wiki/Kristallographie" title="Kristallographie – Luxembourgish" lang="lb" hreflang="lb" data-title="Kristallographie" data-language-autonym="Lëtzebuergesch" data-language-local-name="Luxembourgish" class="interlanguage-link-target"><span>Lëtzebuergesch</span></a></li><li class="interlanguage-link interwiki-lt mw-list-item"><a href="https://lt.wikipedia.org/wiki/Kristalografija" title="Kristalografija – Lithuanian" lang="lt" hreflang="lt" data-title="Kristalografija" data-language-autonym="Lietuvių" data-language-local-name="Lithuanian" class="interlanguage-link-target"><span>Lietuvių</span></a></li><li class="interlanguage-link interwiki-lfn mw-list-item"><a href="https://lfn.wikipedia.org/wiki/Cristalografia" title="Cristalografia – Lingua Franca Nova" lang="lfn" hreflang="lfn" data-title="Cristalografia" data-language-autonym="Lingua Franca Nova" data-language-local-name="Lingua Franca Nova" class="interlanguage-link-target"><span>Lingua Franca Nova</span></a></li><li class="interlanguage-link interwiki-hu mw-list-item"><a href="https://hu.wikipedia.org/wiki/Krist%C3%A1lytan" title="Kristálytan – Hungarian" lang="hu" hreflang="hu" data-title="Kristálytan" data-language-autonym="Magyar" data-language-local-name="Hungarian" class="interlanguage-link-target"><span>Magyar</span></a></li><li class="interlanguage-link interwiki-mk mw-list-item"><a href="https://mk.wikipedia.org/wiki/%D0%9A%D1%80%D0%B8%D1%81%D1%82%D0%B0%D0%BB%D0%BE%D0%B3%D1%80%D0%B0%D1%84%D0%B8%D1%98%D0%B0" title="Кристалографија – Macedonian" lang="mk" hreflang="mk" data-title="Кристалографија" data-language-autonym="Македонски" data-language-local-name="Macedonian" class="interlanguage-link-target"><span>Македонски</span></a></li><li class="interlanguage-link interwiki-mr mw-list-item"><a href="https://mr.wikipedia.org/wiki/%E0%A4%B8%E0%A5%8D%E0%A4%AB%E0%A4%9F%E0%A4%BF%E0%A4%95%E0%A4%B6%E0%A4%BE%E0%A4%B8%E0%A5%8D%E0%A4%A4%E0%A5%8D%E0%A4%B0" title="स्फटिकशास्त्र – Marathi" lang="mr" hreflang="mr" data-title="स्फटिकशास्त्र" data-language-autonym="मराठी" data-language-local-name="Marathi" class="interlanguage-link-target"><span>मराठी</span></a></li><li class="interlanguage-link interwiki-ms mw-list-item"><a href="https://ms.wikipedia.org/wiki/Kristalografi" title="Kristalografi – Malay" lang="ms" hreflang="ms" data-title="Kristalografi" data-language-autonym="Bahasa Melayu" data-language-local-name="Malay" class="interlanguage-link-target"><span>Bahasa Melayu</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Kristallografie" title="Kristallografie – Dutch" lang="nl" hreflang="nl" data-title="Kristallografie" data-language-autonym="Nederlands" data-language-local-name="Dutch" class="interlanguage-link-target"><span>Nederlands</span></a></li><li class="interlanguage-link interwiki-ja mw-list-item"><a href="https://ja.wikipedia.org/wiki/%E7%B5%90%E6%99%B6%E5%AD%A6" title="結晶学 – Japanese" lang="ja" hreflang="ja" data-title="結晶学" data-language-autonym="日本語" data-language-local-name="Japanese" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-no mw-list-item"><a href="https://no.wikipedia.org/wiki/Krystallografi" title="Krystallografi – Norwegian Bokmål" lang="nb" hreflang="nb" data-title="Krystallografi" data-language-autonym="Norsk bokmål" data-language-local-name="Norwegian Bokmål" class="interlanguage-link-target"><span>Norsk bokmål</span></a></li><li class="interlanguage-link interwiki-nn mw-list-item"><a href="https://nn.wikipedia.org/wiki/Krystallografi" title="Krystallografi – Norwegian Nynorsk" lang="nn" hreflang="nn" data-title="Krystallografi" data-language-autonym="Norsk nynorsk" data-language-local-name="Norwegian Nynorsk" class="interlanguage-link-target"><span>Norsk nynorsk</span></a></li><li class="interlanguage-link interwiki-uz mw-list-item"><a href="https://uz.wikipedia.org/wiki/Kristallografiya" title="Kristallografiya – Uzbek" lang="uz" hreflang="uz" data-title="Kristallografiya" data-language-autonym="Oʻzbekcha / ўзбекча" data-language-local-name="Uzbek" class="interlanguage-link-target"><span>Oʻzbekcha / ўзбекча</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/Krystalografia" title="Krystalografia – Polish" lang="pl" hreflang="pl" data-title="Krystalografia" data-language-autonym="Polski" data-language-local-name="Polish" class="interlanguage-link-target"><span>Polski</span></a></li><li class="interlanguage-link interwiki-pt mw-list-item"><a href="https://pt.wikipedia.org/wiki/Cristalografia" title="Cristalografia – Portuguese" lang="pt" hreflang="pt" data-title="Cristalografia" data-language-autonym="Português" data-language-local-name="Portuguese" class="interlanguage-link-target"><span>Português</span></a></li><li class="interlanguage-link interwiki-ro mw-list-item"><a href="https://ro.wikipedia.org/wiki/Cristalografie" title="Cristalografie – Romanian" lang="ro" hreflang="ro" data-title="Cristalografie" data-language-autonym="Română" data-language-local-name="Romanian" class="interlanguage-link-target"><span>Română</span></a></li><li class="interlanguage-link interwiki-ru mw-list-item"><a href="https://ru.wikipedia.org/wiki/%D0%9A%D1%80%D0%B8%D1%81%D1%82%D0%B0%D0%BB%D0%BB%D0%BE%D0%B3%D1%80%D0%B0%D1%84%D0%B8%D1%8F" title="Кристаллография – Russian" lang="ru" hreflang="ru" data-title="Кристаллография" data-language-autonym="Русский" data-language-local-name="Russian" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-sq mw-list-item"><a href="https://sq.wikipedia.org/wiki/Kristalografia" title="Kristalografia – Albanian" lang="sq" hreflang="sq" data-title="Kristalografia" data-language-autonym="Shqip" data-language-local-name="Albanian" class="interlanguage-link-target"><span>Shqip</span></a></li><li class="interlanguage-link interwiki-simple mw-list-item"><a href="https://simple.wikipedia.org/wiki/Crystallography" title="Crystallography – Simple English" lang="en-simple" hreflang="en-simple" data-title="Crystallography" data-language-autonym="Simple English" data-language-local-name="Simple English" class="interlanguage-link-target"><span>Simple English</span></a></li><li class="interlanguage-link interwiki-sd mw-list-item"><a href="https://sd.wikipedia.org/wiki/%DA%AA%D8%B1%D8%B3%D9%BD%D9%84%D9%88%DA%AF%D8%B1%D8%A7%D9%81%D9%8A" title="ڪرسٽلوگرافي – Sindhi" lang="sd" hreflang="sd" data-title="ڪرسٽلوگرافي" data-language-autonym="سنڌي" data-language-local-name="Sindhi" class="interlanguage-link-target"><span>سنڌي</span></a></li><li class="interlanguage-link interwiki-sk mw-list-item"><a href="https://sk.wikipedia.org/wiki/Kry%C5%A1talografia" title="Kryštalografia – Slovak" lang="sk" hreflang="sk" data-title="Kryštalografia" data-language-autonym="Slovenčina" data-language-local-name="Slovak" class="interlanguage-link-target"><span>Slovenčina</span></a></li><li class="interlanguage-link interwiki-sl mw-list-item"><a href="https://sl.wikipedia.org/wiki/Kristalografija" title="Kristalografija – Slovenian" lang="sl" hreflang="sl" data-title="Kristalografija" data-language-autonym="Slovenščina" data-language-local-name="Slovenian" class="interlanguage-link-target"><span>Slovenščina</span></a></li><li class="interlanguage-link interwiki-sr mw-list-item"><a href="https://sr.wikipedia.org/wiki/%D0%9A%D1%80%D0%B8%D1%81%D1%82%D0%B0%D0%BB%D0%BE%D0%B3%D1%80%D0%B0%D1%84%D0%B8%D1%98%D0%B0" title="Кристалографија – Serbian" lang="sr" hreflang="sr" data-title="Кристалографија" data-language-autonym="Српски / srpski" data-language-local-name="Serbian" class="interlanguage-link-target"><span>Српски / srpski</span></a></li><li class="interlanguage-link interwiki-sh mw-list-item"><a href="https://sh.wikipedia.org/wiki/Kristalografija" title="Kristalografija – Serbo-Croatian" lang="sh" hreflang="sh" data-title="Kristalografija" data-language-autonym="Srpskohrvatski / српскохрватски" data-language-local-name="Serbo-Croatian" class="interlanguage-link-target"><span>Srpskohrvatski / српскохрватски</span></a></li><li class="interlanguage-link interwiki-fi mw-list-item"><a href="https://fi.wikipedia.org/wiki/Kristallografia" title="Kristallografia – Finnish" lang="fi" hreflang="fi" data-title="Kristallografia" data-language-autonym="Suomi" data-language-local-name="Finnish" class="interlanguage-link-target"><span>Suomi</span></a></li><li class="interlanguage-link interwiki-sv mw-list-item"><a href="https://sv.wikipedia.org/wiki/Kristallografi" title="Kristallografi – Swedish" lang="sv" hreflang="sv" data-title="Kristallografi" data-language-autonym="Svenska" data-language-local-name="Swedish" class="interlanguage-link-target"><span>Svenska</span></a></li><li class="interlanguage-link interwiki-tl badge-Q70893996 mw-list-item" title=""><a href="https://tl.wikipedia.org/wiki/Kristalograpiya" title="Kristalograpiya – Tagalog" lang="tl" hreflang="tl" data-title="Kristalograpiya" data-language-autonym="Tagalog" data-language-local-name="Tagalog" class="interlanguage-link-target"><span>Tagalog</span></a></li><li class="interlanguage-link interwiki-ta mw-list-item"><a href="https://ta.wikipedia.org/wiki/%E0%AE%AA%E0%AE%9F%E0%AE%BF%E0%AE%95%E0%AE%B5%E0%AE%BF%E0%AE%AF%E0%AE%B2%E0%AF%8D" title="படிகவியல் – Tamil" lang="ta" hreflang="ta" data-title="படிகவியல்" data-language-autonym="தமிழ்" data-language-local-name="Tamil" class="interlanguage-link-target"><span>தமிழ்</span></a></li><li class="interlanguage-link interwiki-th mw-list-item"><a href="https://th.wikipedia.org/wiki/%E0%B8%9C%E0%B8%A5%E0%B8%B4%E0%B8%81%E0%B8%A8%E0%B8%B2%E0%B8%AA%E0%B8%95%E0%B8%A3%E0%B9%8C" title="ผลิกศาสตร์ – Thai" lang="th" hreflang="th" data-title="ผลิกศาสตร์" data-language-autonym="ไทย" data-language-local-name="Thai" class="interlanguage-link-target"><span>ไทย</span></a></li><li class="interlanguage-link interwiki-tg mw-list-item"><a href="https://tg.wikipedia.org/wiki/%D0%91%D1%83%D0%BB%D3%AF%D1%80%D1%88%D0%B8%D0%BD%D0%BE%D1%81%D3%A3" title="Булӯршиносӣ – Tajik" lang="tg" hreflang="tg" data-title="Булӯршиносӣ" data-language-autonym="Тоҷикӣ" data-language-local-name="Tajik" class="interlanguage-link-target"><span>Тоҷикӣ</span></a></li><li class="interlanguage-link interwiki-tr mw-list-item"><a href="https://tr.wikipedia.org/wiki/Kristalografi" title="Kristalografi – Turkish" lang="tr" hreflang="tr" data-title="Kristalografi" data-language-autonym="Türkçe" data-language-local-name="Turkish" class="interlanguage-link-target"><span>Türkçe</span></a></li><li class="interlanguage-link interwiki-uk mw-list-item"><a href="https://uk.wikipedia.org/wiki/%D0%9A%D1%80%D0%B8%D1%81%D1%82%D0%B0%D0%BB%D0%BE%D0%B3%D1%80%D0%B0%D1%84%D1%96%D1%8F" title="Кристалографія – Ukrainian" lang="uk" hreflang="uk" data-title="Кристалографія" data-language-autonym="Українська" data-language-local-name="Ukrainian" class="interlanguage-link-target"><span>Українська</span></a></li><li class="interlanguage-link interwiki-ur mw-list-item"><a href="https://ur.wikipedia.org/wiki/%D8%A8%D9%84%D9%88%D8%B1%D9%86%DA%AF%D8%A7%D8%B1%DB%8C" title="بلورنگاری – Urdu" lang="ur" hreflang="ur" data-title="بلورنگاری" data-language-autonym="اردو" data-language-local-name="Urdu" class="interlanguage-link-target"><span>اردو</span></a></li><li class="interlanguage-link interwiki-vi mw-list-item"><a href="https://vi.wikipedia.org/wiki/Tinh_th%E1%BB%83_h%E1%BB%8Dc" title="Tinh thể học – Vietnamese" lang="vi" hreflang="vi" data-title="Tinh thể học" data-language-autonym="Tiếng Việt" data-language-local-name="Vietnamese" class="interlanguage-link-target"><span>Tiếng Việt</span></a></li><li class="interlanguage-link interwiki-war mw-list-item"><a href="https://war.wikipedia.org/wiki/Kristalograpiya" title="Kristalograpiya – Waray" lang="war" hreflang="war" data-title="Kristalograpiya" data-language-autonym="Winaray" data-language-local-name="Waray" class="interlanguage-link-target"><span>Winaray</span></a></li><li class="interlanguage-link interwiki-wuu mw-list-item"><a href="https://wuu.wikipedia.org/wiki/%E6%99%B6%E4%BD%93%E5%AD%A6" title="晶体学 – Wu" lang="wuu" hreflang="wuu" data-title="晶体学" data-language-autonym="吴语" data-language-local-name="Wu" class="interlanguage-link-target"><span>吴语</span></a></li><li class="interlanguage-link interwiki-zh-yue mw-list-item"><a href="https://zh-yue.wikipedia.org/wiki/%E6%99%B6%E9%AB%94%E5%AD%B8" title="晶體學 – Cantonese" lang="yue" hreflang="yue" data-title="晶體學" data-language-autonym="粵語" data-language-local-name="Cantonese" class="interlanguage-link-target"><span>粵語</span></a></li><li class="interlanguage-link interwiki-zh mw-list-item"><a href="https://zh.wikipedia.org/wiki/%E6%99%B6%E4%BD%93%E5%AD%A6" title="晶体学 – Chinese" lang="zh" hreflang="zh" data-title="晶体学" data-language-autonym="中文" data-language-local-name="Chinese" class="interlanguage-link-target"><span>中文</span></a></li> </ul> <div class="after-portlet after-portlet-lang"><span class="wb-langlinks-edit wb-langlinks-link"><a href="https://www.wikidata.org/wiki/Special:EntityPage/Q160398#sitelinks-wikipedia" title="Edit interlanguage links" class="wbc-editpage">Edit links</a></span></div> </div> </div> </div> </header> <div class="vector-page-toolbar"> <div class="vector-page-toolbar-container"> <div id="left-navigation"> <nav aria-label="Namespaces"> <div id="p-associated-pages" class="vector-menu vector-menu-tabs mw-portlet mw-portlet-associated-pages" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-nstab-main" class="selected vector-tab-noicon mw-list-item"><a href="/wiki/Crystallography" title="View the content page [c]" accesskey="c"><span>Article</span></a></li><li id="ca-talk" class="vector-tab-noicon mw-list-item"><a href="/wiki/Talk:Crystallography" rel="discussion" title="Discuss improvements to the content page [t]" accesskey="t"><span>Talk</span></a></li> </ul> </div> </div> <div id="vector-variants-dropdown" class="vector-dropdown emptyPortlet" > <input type="checkbox" id="vector-variants-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-variants-dropdown" class="vector-dropdown-checkbox " aria-label="Change language variant" > <label id="vector-variants-dropdown-label" for="vector-variants-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet" aria-hidden="true" ><span class="vector-dropdown-label-text">English</span> </label> <div class="vector-dropdown-content"> <div id="p-variants" class="vector-menu mw-portlet mw-portlet-variants emptyPortlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> </ul> </div> </div> </div> </div> </nav> </div> <div id="right-navigation" class="vector-collapsible"> <nav aria-label="Views"> <div id="p-views" class="vector-menu vector-menu-tabs mw-portlet mw-portlet-views" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-view" class="selected vector-tab-noicon mw-list-item"><a href="/wiki/Crystallography"><span>Read</span></a></li><li id="ca-edit" class="vector-tab-noicon mw-list-item"><a href="/w/index.php?title=Crystallography&action=edit" title="Edit this page [e]" accesskey="e"><span>Edit</span></a></li><li id="ca-history" class="vector-tab-noicon mw-list-item"><a href="/w/index.php?title=Crystallography&action=history" title="Past revisions of this page [h]" accesskey="h"><span>View history</span></a></li> </ul> </div> </div> </nav> <nav class="vector-page-tools-landmark" aria-label="Page tools"> <div id="vector-page-tools-dropdown" class="vector-dropdown vector-page-tools-dropdown" > <input type="checkbox" id="vector-page-tools-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-page-tools-dropdown" class="vector-dropdown-checkbox " aria-label="Tools" > <label id="vector-page-tools-dropdown-label" for="vector-page-tools-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet" aria-hidden="true" ><span class="vector-dropdown-label-text">Tools</span> </label> <div class="vector-dropdown-content"> <div id="vector-page-tools-unpinned-container" class="vector-unpinned-container"> <div id="vector-page-tools" class="vector-page-tools vector-pinnable-element"> <div class="vector-pinnable-header vector-page-tools-pinnable-header vector-pinnable-header-unpinned" data-feature-name="page-tools-pinned" data-pinnable-element-id="vector-page-tools" data-pinned-container-id="vector-page-tools-pinned-container" data-unpinned-container-id="vector-page-tools-unpinned-container" > <div class="vector-pinnable-header-label">Tools</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-page-tools.pin">move to sidebar</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-page-tools.unpin">hide</button> </div> <div id="p-cactions" class="vector-menu mw-portlet mw-portlet-cactions emptyPortlet vector-has-collapsible-items" title="More options" > <div class="vector-menu-heading"> Actions </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-more-view" class="selected vector-more-collapsible-item mw-list-item"><a href="/wiki/Crystallography"><span>Read</span></a></li><li id="ca-more-edit" class="vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=Crystallography&action=edit" title="Edit this page [e]" accesskey="e"><span>Edit</span></a></li><li id="ca-more-history" class="vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=Crystallography&action=history"><span>View history</span></a></li> </ul> </div> </div> <div id="p-tb" class="vector-menu mw-portlet mw-portlet-tb" > <div class="vector-menu-heading"> General </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="t-whatlinkshere" class="mw-list-item"><a href="/wiki/Special:WhatLinksHere/Crystallography" title="List of all English Wikipedia pages containing links to this page [j]" accesskey="j"><span>What links here</span></a></li><li id="t-recentchangeslinked" class="mw-list-item"><a href="/wiki/Special:RecentChangesLinked/Crystallography" rel="nofollow" title="Recent changes in pages linked from this page [k]" accesskey="k"><span>Related changes</span></a></li><li id="t-upload" class="mw-list-item"><a href="/wiki/Wikipedia:File_Upload_Wizard" title="Upload files [u]" accesskey="u"><span>Upload file</span></a></li><li id="t-specialpages" class="mw-list-item"><a href="/wiki/Special:SpecialPages" title="A list of all special pages [q]" accesskey="q"><span>Special pages</span></a></li><li id="t-permalink" class="mw-list-item"><a href="/w/index.php?title=Crystallography&oldid=1244336610" title="Permanent link to this revision of this page"><span>Permanent link</span></a></li><li id="t-info" class="mw-list-item"><a href="/w/index.php?title=Crystallography&action=info" title="More information about this page"><span>Page information</span></a></li><li id="t-cite" class="mw-list-item"><a href="/w/index.php?title=Special:CiteThisPage&page=Crystallography&id=1244336610&wpFormIdentifier=titleform" title="Information on how to cite this page"><span>Cite this page</span></a></li><li id="t-urlshortener" class="mw-list-item"><a href="/w/index.php?title=Special:UrlShortener&url=https%3A%2F%2Fen.wikipedia.org%2Fwiki%2FCrystallography"><span>Get shortened URL</span></a></li><li id="t-urlshortener-qrcode" class="mw-list-item"><a href="/w/index.php?title=Special:QrCode&url=https%3A%2F%2Fen.wikipedia.org%2Fwiki%2FCrystallography"><span>Download QR code</span></a></li> </ul> </div> </div> <div id="p-coll-print_export" class="vector-menu mw-portlet mw-portlet-coll-print_export" > <div class="vector-menu-heading"> Print/export </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="coll-download-as-rl" class="mw-list-item"><a href="/w/index.php?title=Special:DownloadAsPdf&page=Crystallography&action=show-download-screen" title="Download this page as a PDF file"><span>Download as PDF</span></a></li><li id="t-print" class="mw-list-item"><a href="/w/index.php?title=Crystallography&printable=yes" title="Printable version of this page [p]" accesskey="p"><span>Printable version</span></a></li> </ul> </div> </div> <div id="p-wikibase-otherprojects" class="vector-menu mw-portlet mw-portlet-wikibase-otherprojects" > <div class="vector-menu-heading"> In other projects </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="wb-otherproject-link wb-otherproject-commons mw-list-item"><a href="https://commons.wikimedia.org/wiki/Crystallography" hreflang="en"><span>Wikimedia Commons</span></a></li><li class="wb-otherproject-link wb-otherproject-wikiquote mw-list-item"><a href="https://en.wikiquote.org/wiki/Crystallography" hreflang="en"><span>Wikiquote</span></a></li><li class="wb-otherproject-link wb-otherproject-wikiversity mw-list-item"><a href="https://en.wikiversity.org/wiki/Crystallography" hreflang="en"><span>Wikiversity</span></a></li><li id="t-wikibase" class="wb-otherproject-link wb-otherproject-wikibase-dataitem mw-list-item"><a href="https://www.wikidata.org/wiki/Special:EntityPage/Q160398" title="Structured data on this page hosted by Wikidata [g]" accesskey="g"><span>Wikidata item</span></a></li> </ul> </div> </div> </div> </div> </div> </div> </nav> </div> </div> </div> <div class="vector-column-end"> <div class="vector-sticky-pinned-container"> <nav class="vector-page-tools-landmark" aria-label="Page tools"> <div id="vector-page-tools-pinned-container" class="vector-pinned-container"> </div> </nav> <nav class="vector-appearance-landmark" aria-label="Appearance"> <div id="vector-appearance-pinned-container" class="vector-pinned-container"> <div id="vector-appearance" class="vector-appearance vector-pinnable-element"> <div class="vector-pinnable-header vector-appearance-pinnable-header vector-pinnable-header-pinned" data-feature-name="appearance-pinned" data-pinnable-element-id="vector-appearance" data-pinned-container-id="vector-appearance-pinned-container" data-unpinned-container-id="vector-appearance-unpinned-container" > <div class="vector-pinnable-header-label">Appearance</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-appearance.pin">move to sidebar</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-appearance.unpin">hide</button> </div> </div> </div> </nav> </div> </div> <div id="bodyContent" class="vector-body" aria-labelledby="firstHeading" data-mw-ve-target-container> <div class="vector-body-before-content"> <div class="mw-indicators"> </div> <div id="siteSub" class="noprint">From Wikipedia, the free encyclopedia</div> </div> <div id="contentSub"><div id="mw-content-subtitle"></div></div> <div id="mw-content-text" class="mw-body-content"><div class="mw-content-ltr mw-parser-output" lang="en" dir="ltr"><div class="shortdescription nomobile noexcerpt noprint searchaux" style="display:none">Scientific study of crystal structures</div> <style data-mw-deduplicate="TemplateStyles:r1236090951">.mw-parser-output .hatnote{font-style:italic}.mw-parser-output div.hatnote{padding-left:1.6em;margin-bottom:0.5em}.mw-parser-output .hatnote i{font-style:normal}.mw-parser-output .hatnote+link+.hatnote{margin-top:-0.5em}@media print{body.ns-0 .mw-parser-output .hatnote{display:none!important}}</style><div role="note" class="hatnote navigation-not-searchable">For the book of poetry, see <a href="/wiki/Crystallography_(book)" title="Crystallography (book)">Crystallography (book)</a>.</div> <style data-mw-deduplicate="TemplateStyles:r1251242444">.mw-parser-output .ambox{border:1px solid #a2a9b1;border-left:10px solid #36c;background-color:#fbfbfb;box-sizing:border-box}.mw-parser-output .ambox+link+.ambox,.mw-parser-output .ambox+link+style+.ambox,.mw-parser-output .ambox+link+link+.ambox,.mw-parser-output .ambox+.mw-empty-elt+link+.ambox,.mw-parser-output .ambox+.mw-empty-elt+link+style+.ambox,.mw-parser-output .ambox+.mw-empty-elt+link+link+.ambox{margin-top:-1px}html body.mediawiki .mw-parser-output .ambox.mbox-small-left{margin:4px 1em 4px 0;overflow:hidden;width:238px;border-collapse:collapse;font-size:88%;line-height:1.25em}.mw-parser-output .ambox-speedy{border-left:10px solid #b32424;background-color:#fee7e6}.mw-parser-output .ambox-delete{border-left:10px solid #b32424}.mw-parser-output .ambox-content{border-left:10px solid #f28500}.mw-parser-output .ambox-style{border-left:10px solid #fc3}.mw-parser-output .ambox-move{border-left:10px solid #9932cc}.mw-parser-output .ambox-protection{border-left:10px solid #a2a9b1}.mw-parser-output .ambox .mbox-text{border:none;padding:0.25em 0.5em;width:100%}.mw-parser-output .ambox .mbox-image{border:none;padding:2px 0 2px 0.5em;text-align:center}.mw-parser-output .ambox .mbox-imageright{border:none;padding:2px 0.5em 2px 0;text-align:center}.mw-parser-output .ambox .mbox-empty-cell{border:none;padding:0;width:1px}.mw-parser-output .ambox .mbox-image-div{width:52px}@media(min-width:720px){.mw-parser-output .ambox{margin:0 10%}}@media print{body.ns-0 .mw-parser-output .ambox{display:none!important}}</style><table class="box-More_citations_needed plainlinks metadata ambox ambox-content ambox-Refimprove" role="presentation"><tbody><tr><td class="mbox-image"><div class="mbox-image-div"><span typeof="mw:File"><a href="/wiki/File:Question_book-new.svg" class="mw-file-description"><img alt="" src="//upload.wikimedia.org/wikipedia/en/thumb/9/99/Question_book-new.svg/50px-Question_book-new.svg.png" decoding="async" width="50" height="39" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/en/thumb/9/99/Question_book-new.svg/75px-Question_book-new.svg.png 1.5x, //upload.wikimedia.org/wikipedia/en/thumb/9/99/Question_book-new.svg/100px-Question_book-new.svg.png 2x" data-file-width="512" data-file-height="399" /></a></span></div></td><td class="mbox-text"><div class="mbox-text-span">This article <b>needs additional citations for <a href="/wiki/Wikipedia:Verifiability" title="Wikipedia:Verifiability">verification</a></b>.<span class="hide-when-compact"> Please help <a href="/wiki/Special:EditPage/Crystallography" title="Special:EditPage/Crystallography">improve this article</a> by <a href="/wiki/Help:Referencing_for_beginners" title="Help:Referencing for beginners">adding citations to reliable sources</a>. Unsourced material may be challenged and removed.<br /><small><span class="plainlinks"><i>Find sources:</i> <a rel="nofollow" class="external text" href="https://www.google.com/search?as_eq=wikipedia&q=%22Crystallography%22">"Crystallography"</a> – <a rel="nofollow" class="external text" href="https://www.google.com/search?tbm=nws&q=%22Crystallography%22+-wikipedia&tbs=ar:1">news</a> <b>·</b> <a rel="nofollow" class="external text" href="https://www.google.com/search?&q=%22Crystallography%22&tbs=bkt:s&tbm=bks">newspapers</a> <b>·</b> <a rel="nofollow" class="external text" href="https://www.google.com/search?tbs=bks:1&q=%22Crystallography%22+-wikipedia">books</a> <b>·</b> <a rel="nofollow" class="external text" href="https://scholar.google.com/scholar?q=%22Crystallography%22">scholar</a> <b>·</b> <a rel="nofollow" class="external text" href="https://www.jstor.org/action/doBasicSearch?Query=%22Crystallography%22&acc=on&wc=on">JSTOR</a></span></small></span> <span class="date-container"><i>(<span class="date">July 2024</span>)</i></span><span class="hide-when-compact"><i> (<small><a href="/wiki/Help:Maintenance_template_removal" title="Help:Maintenance template removal">Learn how and when to remove this message</a></small>)</i></span></div></td></tr></tbody></table> <figure class="mw-default-size" typeof="mw:File/Thumb"><a href="/wiki/File:Stohrem.jpg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/6/68/Stohrem.jpg/220px-Stohrem.jpg" decoding="async" width="220" height="113" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/6/68/Stohrem.jpg/330px-Stohrem.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/6/68/Stohrem.jpg/440px-Stohrem.jpg 2x" data-file-width="473" data-file-height="242" /></a><figcaption>A crystalline solid: atomic resolution image of <a href="/wiki/Strontium_titanate" title="Strontium titanate">strontium titanate</a>. Brighter spots are columns of <a href="/wiki/Strontium" title="Strontium">strontium</a> atoms and darker ones are <a href="/wiki/Titanium" title="Titanium">titanium</a>-<a href="/wiki/Oxygen" title="Oxygen">oxygen</a> columns.</figcaption></figure> <figure class="mw-default-size" typeof="mw:File/Thumb"><a href="/wiki/File:Sites_interstitiels_cubique_a_faces_centrees.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/5/5c/Sites_interstitiels_cubique_a_faces_centrees.svg/220px-Sites_interstitiels_cubique_a_faces_centrees.svg.png" decoding="async" width="220" height="229" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/5/5c/Sites_interstitiels_cubique_a_faces_centrees.svg/330px-Sites_interstitiels_cubique_a_faces_centrees.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/5/5c/Sites_interstitiels_cubique_a_faces_centrees.svg/440px-Sites_interstitiels_cubique_a_faces_centrees.svg.png 2x" data-file-width="120" data-file-height="125" /></a><figcaption>Octahedral and tetrahedral <a href="/wiki/Interstitial_site" title="Interstitial site">interstitial sites</a> in a face centered cubic structure</figcaption></figure> <figure class="mw-default-size" typeof="mw:File/Thumb"><a href="/wiki/File:EBSD_Si.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/4/44/EBSD_Si.png/220px-EBSD_Si.png" decoding="async" width="220" height="220" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/44/EBSD_Si.png/330px-EBSD_Si.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/44/EBSD_Si.png/440px-EBSD_Si.png 2x" data-file-width="2555" data-file-height="2555" /></a><figcaption><a href="/wiki/Kikuchi_lines_(physics)" title="Kikuchi lines (physics)">Kikuchi lines</a> in an <a href="/wiki/Electron_backscatter_diffraction" title="Electron backscatter diffraction">electron backscatter diffraction</a> pattern of monocrystalline silicon, taken at 20 kV with a field-emission electron source</figcaption></figure> <p><b>Crystallography</b> is the branch of science devoted to the study of molecular and crystalline structure and properties.<sup id="cite_ref-1" class="reference"><a href="#cite_note-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup> The word <i>crystallography</i> is derived from the <a href="/wiki/Ancient_Greek" title="Ancient Greek">Ancient Greek</a> word <span lang="grc"><a href="https://en.wiktionary.org/wiki/%CE%BA%CF%81%CF%8D%CF%83%CF%84%CE%B1%CE%BB%CE%BB%CE%BF%CF%82#Ancient_Greek" class="extiw" title="wikt:κρύσταλλος">κρύσταλλος</a></span> (<span title="Ancient Greek transliteration" lang="grc-Latn"><i>krústallos</i></span>; "clear ice, rock-crystal"), and <span lang="grc"><a href="https://en.wiktionary.org/wiki/%CE%B3%CF%81%CE%AC%CF%86%CE%B5%CE%B9%CE%BD#Ancient_Greek" class="extiw" title="wikt:γράφειν">γράφειν</a></span> (<span title="Ancient Greek transliteration" lang="grc-Latn"><i>gráphein</i></span>; "to write").<sup id="cite_ref-2" class="reference"><a href="#cite_note-2"><span class="cite-bracket">[</span>2<span class="cite-bracket">]</span></a></sup> In July 2012, the <a href="/wiki/United_Nations" title="United Nations">United Nations</a> recognised the importance of the science of crystallography by proclaiming 2014 the International Year of Crystallography.<sup id="cite_ref-UN_Resolution_3-0" class="reference"><a href="#cite_note-UN_Resolution-3"><span class="cite-bracket">[</span>3<span class="cite-bracket">]</span></a></sup> </p><p>Crystallography is a broad topic, and many of its subareas, such as <a href="/wiki/X-ray_crystallography" title="X-ray crystallography">X-ray crystallography</a>, are themselves important scientific topics. Crystallography ranges from the fundamentals of <a href="/wiki/Crystal_structure" title="Crystal structure">crystal structure</a> to the mathematics of <a href="/wiki/Crystal_system" title="Crystal system">crystal geometry</a>, including those that are <a href="/wiki/Aperiodic_crystal" title="Aperiodic crystal">not periodic</a> or <a href="/wiki/Quasicrystal" title="Quasicrystal">quasicrystals</a>. At the atomic scale it can involve the use of <a href="/wiki/X-ray_diffraction" title="X-ray diffraction">X-ray diffraction</a> to produce experimental data that the tools of <a href="/wiki/X-ray_crystallography" title="X-ray crystallography">X-ray crystallography</a> can convert into detailed positions of atoms, and sometimes electron density. At larger scales it includes experimental tools such as <a href="/wiki/Orientation_imaging_microscopy" class="mw-redirect" title="Orientation imaging microscopy">orientational imaging</a> to examine the relative orientations at the <a href="/wiki/Grain_boundary" title="Grain boundary">grain boundary</a> in materials. Crystallography plays a key role in many areas of biology, chemistry, and physics, as well new developments in these fields. </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="History_and_timeline">History and timeline</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Crystallography&action=edit&section=1" title="Edit section: History and timeline"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1236090951"><div role="note" class="hatnote navigation-not-searchable">Main article: <a href="/wiki/Timeline_of_crystallography" title="Timeline of crystallography">Timeline of crystallography</a></div> <p>Before the 20th century, the study of <a href="/wiki/Crystal" title="Crystal">crystals</a> was based on physical measurements of their geometry using a <a href="/wiki/Goniometer" title="Goniometer">goniometer</a>.<sup id="cite_ref-4" class="reference"><a href="#cite_note-4"><span class="cite-bracket">[</span>4<span class="cite-bracket">]</span></a></sup> This involved measuring the angles of crystal faces relative to each other and to theoretical reference axes (crystallographic axes), and establishing the <a href="/wiki/Symmetry_(physics)" title="Symmetry (physics)">symmetry</a> of the crystal in question. The position in 3D space of each crystal face is plotted on a <a href="/wiki/Stereographic_projection" title="Stereographic projection">stereographic</a> net such as a <a href="/wiki/Wulff_net" class="mw-redirect" title="Wulff net">Wulff net</a> or <a href="/wiki/Lambert_azimuthal_equal-area_projection" title="Lambert azimuthal equal-area projection">Lambert net</a>. The <a href="/wiki/Pole_figure" title="Pole figure">pole</a> to each face is plotted on the net. Each point is labelled with its <a href="/wiki/Miller_index" title="Miller index">Miller index</a>. The final plot allows the symmetry of the crystal to be established.<sup id="cite_ref-5" class="reference"><a href="#cite_note-5"><span class="cite-bracket">[</span>5<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-6" class="reference"><a href="#cite_note-6"><span class="cite-bracket">[</span>6<span class="cite-bracket">]</span></a></sup> </p><p>The discovery of <a href="/wiki/X-ray" title="X-ray">X-rays</a> and <a href="/wiki/Electron" title="Electron">electrons</a> in the last decade of the 19th century enabled the determination of crystal structures on the atomic scale, which brought about the modern era of crystallography. The first X-ray diffraction experiment was conducted in 1912 by <a href="/wiki/Max_von_Laue" title="Max von Laue">Max von Laue</a>,<sup id="cite_ref-L1912_7-0" class="reference"><a href="#cite_note-L1912-7"><span class="cite-bracket">[</span>7<span class="cite-bracket">]</span></a></sup> while electron diffraction was first realized in 1927 in the <a href="/wiki/Davisson%E2%80%93Germer_experiment" title="Davisson–Germer experiment">Davisson–Germer experiment</a><sup id="cite_ref-8" class="reference"><a href="#cite_note-8"><span class="cite-bracket">[</span>8<span class="cite-bracket">]</span></a></sup> and parallel work by <a href="/wiki/George_Paget_Thomson" title="George Paget Thomson">George Paget Thomson</a> and Alexander Reid.<sup id="cite_ref-9" class="reference"><a href="#cite_note-9"><span class="cite-bracket">[</span>9<span class="cite-bracket">]</span></a></sup> These developed into the two main branches of crystallography, <a href="/wiki/X-ray_crystallography" title="X-ray crystallography">X-ray crystallography</a> and <a href="/wiki/Electron_diffraction" title="Electron diffraction">electron</a> diffraction. The quality and throughput of solving crystal structures greatly improved in the second half of the 20th century, with the developments of customized instruments and <a href="/wiki/Phase_problem" title="Phase problem">phasing algorithms</a>. Nowadays, crystallography is an <a href="/wiki/Interdisciplinary_field" class="mw-redirect" title="Interdisciplinary field">interdisciplinary field</a>, supporting theoretical and experimental discoveries in various domains.<sup id="cite_ref-10" class="reference"><a href="#cite_note-10"><span class="cite-bracket">[</span>10<span class="cite-bracket">]</span></a></sup> Modern-day scientific instruments for crystallography vary from laboratory-sized equipment, such as <a href="/wiki/Diffractometer" title="Diffractometer">diffractometers</a> and <a href="/wiki/Electron_microscope" title="Electron microscope">electron microscopes</a>, to dedicated large facilities, such as <a href="/wiki/Photoinjector" title="Photoinjector">photoinjectors</a>, <a href="/wiki/Synchrotron_light_source" title="Synchrotron light source">synchrotron light sources</a> and <a href="/wiki/Free-electron_laser" title="Free-electron laser">free-electron lasers</a>. </p> <div class="mw-heading mw-heading2"><h2 id="Methodology">Methodology</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Crystallography&action=edit&section=2" title="Edit section: Methodology"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1236090951"><div role="note" class="hatnote navigation-not-searchable">Main articles: <a href="/wiki/X-ray_crystallography" title="X-ray crystallography">X-ray crystallography</a>, <a href="/wiki/Electron_diffraction" title="Electron diffraction">Electron diffraction</a>, <a href="/wiki/Neutron_crystallography" class="mw-redirect" title="Neutron crystallography">Neutron crystallography</a>, and <a href="/wiki/NMR_crystallography" class="mw-redirect" title="NMR crystallography">NMR crystallography</a></div> <p>Crystallographic methods depend mainly on analysis of the <a href="/wiki/Diffraction" title="Diffraction">diffraction</a> patterns of a sample targeted by a beam of some type. <a href="/wiki/X-ray" title="X-ray">X-rays</a> are most commonly used; other beams used include <a href="/wiki/Electron" title="Electron">electrons</a> or <a href="/wiki/Neutron" title="Neutron">neutrons</a>. Crystallographers often explicitly state the type of beam used, as in the terms <i><a href="/wiki/X-ray_diffraction" title="X-ray diffraction">X-ray diffraction</a>, <a href="/wiki/Neutron_diffraction" title="Neutron diffraction">neutron diffraction</a></i> and <i><a href="/wiki/Electron_diffraction" title="Electron diffraction">electron diffraction</a></i>. These three types of radiation interact with the specimen in different ways. </p> <ul><li>X-rays interact with the <a href="/wiki/Electron_density" title="Electron density">spatial distribution of electrons</a> in the sample.<sup id="cite_ref-11" class="reference"><a href="#cite_note-11"><span class="cite-bracket">[</span>11<span class="cite-bracket">]</span></a></sup></li> <li>Neutrons are scattered by the atomic nuclei through the <a href="/wiki/Strong_nuclear_force" class="mw-redirect" title="Strong nuclear force">strong nuclear forces</a>, but in addition the <a href="/wiki/Magnetic_moment" title="Magnetic moment">magnetic moment</a> of neutrons is non-zero, so they are also scattered by <a href="/wiki/Magnetic_field" title="Magnetic field">magnetic fields</a>. When neutrons are scattered from <a href="/wiki/Hydrogen" title="Hydrogen">hydrogen</a>-containing materials, they produce diffraction patterns with high noise levels, which can sometimes be resolved by substituting <a href="/wiki/Deuterium" title="Deuterium">deuterium</a> for hydrogen.<sup id="cite_ref-12" class="reference"><a href="#cite_note-12"><span class="cite-bracket">[</span>12<span class="cite-bracket">]</span></a></sup></li> <li>Electrons are <a href="/wiki/Charged_particle" title="Charged particle">charged particles</a> and therefore interact with the total <a href="/wiki/Charge_density" title="Charge density">charge distribution</a> of both the <a href="/wiki/Atomic_nuclei" class="mw-redirect" title="Atomic nuclei">atomic nuclei</a> and the electrons of the sample.<sup id="cite_ref-13" class="reference"><a href="#cite_note-13"><span class="cite-bracket">[</span>13<span class="cite-bracket">]</span></a></sup><sup class="reference nowrap"><span title="Location: Chpt 4">: Chpt 4 </span></sup></li></ul> <p>It is hard to focus x-rays or neutrons, but since electrons are charged they can be focused and are used in <a href="/wiki/Electron_microscope" title="Electron microscope">electron microscope</a> to produce magnified images. There are many ways that <a href="/wiki/Transmission_electron_microscopy" title="Transmission electron microscopy">transmission electron microscopy</a> and related techniques such as <a href="/wiki/Scanning_transmission_electron_microscopy" title="Scanning transmission electron microscopy">scanning transmission electron microscopy</a>, <a href="/wiki/High-resolution_electron_microscopy" class="mw-redirect" title="High-resolution electron microscopy">high-resolution electron microscopy</a> can be used to obtain images with in many cases atomic resolution from which crystallographic information can be obtained. There are also other methods such as <a href="/wiki/Low-energy_electron_diffraction" title="Low-energy electron diffraction">low-energy electron diffraction</a>, <a href="/wiki/Low-energy_electron_microscopy" title="Low-energy electron microscopy">low-energy electron microscopy</a> and <a href="/wiki/Reflection_high-energy_electron_diffraction" title="Reflection high-energy electron diffraction">reflection high-energy electron diffraction</a> which can be used to obtain crystallographic information about surfaces. </p> <div class="mw-heading mw-heading2"><h2 id="Applications_in_various_areas">Applications in various areas</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Crystallography&action=edit&section=3" title="Edit section: Applications in various areas"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="mw-heading mw-heading3"><h3 id="Materials_science">Materials science</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Crystallography&action=edit&section=4" title="Edit section: Materials science"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Crystallography is used by materials scientists to characterize different materials. In single crystals, the effects of the crystalline arrangement of atoms is often easy to see macroscopically because the natural shapes of crystals reflect the atomic structure. In addition, physical properties are often controlled by crystalline defects. The understanding of crystal structures is an important prerequisite for understanding <a href="/wiki/Crystallographic_defect" title="Crystallographic defect">crystallographic defects</a>. Most materials do not occur as a single crystal, but are poly-crystalline in nature (they exist as an aggregate of small crystals with different orientations). As such, <a href="/wiki/Powder_diffraction" title="Powder diffraction">powder diffraction</a> techniques, which take diffraction patterns of samples with a large number of crystals, play an important role in structural determination. </p><p>Other physical properties are also linked to crystallography. For example, the minerals in <a href="/wiki/Clay" title="Clay">clay</a> form small, flat, platelike structures. Clay can be easily deformed because the platelike particles can slip along each other in the plane of the plates, yet remain strongly connected in the direction perpendicular to the plates. Such mechanisms can be studied by crystallographic <a href="/wiki/Texture_(crystalline)" class="mw-redirect" title="Texture (crystalline)">texture</a> measurements. Crystallographic studies help elucidate the relationship between a material's structure and its properties, aiding in developing new materials with tailored characteristics. This understanding is crucial in various fields, including metallurgy, geology, and materials science. Advancements in crystallographic techniques, such as electron diffraction and X-ray crystallography, continue to expand our understanding of material behavior at the atomic level. </p><p>In another example, <a href="/wiki/Iron#Allotropes" title="Iron">iron</a> transforms from a <a href="/wiki/Body-centered_cubic" class="mw-redirect" title="Body-centered cubic">body-centered cubic</a> (bcc) structure called <a href="/wiki/Allotropes_of_iron#Alpha_iron_(α-Fe)" title="Allotropes of iron">ferrite</a> to a <a href="/wiki/Face-centered_cubic" class="mw-redirect" title="Face-centered cubic">face-centered cubic</a> (fcc) structure called <a href="/wiki/Austenite" title="Austenite">austenite</a> when it is heated.<sup id="cite_ref-14" class="reference"><a href="#cite_note-14"><span class="cite-bracket">[</span>14<span class="cite-bracket">]</span></a></sup> The fcc structure is a close-packed structure unlike the bcc structure; thus the volume of the iron decreases when this transformation occurs. </p><p>Crystallography is useful in phase identification. When manufacturing or using a material, it is generally desirable to know what compounds and what phases are present in the material, as their composition, structure and proportions will influence the material's properties. Each phase has a characteristic arrangement of atoms. X-ray or neutron diffraction can be used to identify which structures are present in the material, and thus which compounds are present. Crystallography covers the enumeration of the symmetry patterns which can be formed by atoms in a crystal and for this reason is related to <a href="/wiki/Group_theory#Chemistry_and_materials_science" title="Group theory">group theory</a>. </p> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1236090951"><div role="note" class="hatnote navigation-not-searchable">Further information: <a href="/wiki/Oligocrystalline_material" title="Oligocrystalline material">Oligocrystalline material</a></div> <div class="mw-heading mw-heading3"><h3 id="Biology">Biology</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Crystallography&action=edit&section=5" title="Edit section: Biology"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p><a href="/wiki/X-ray_crystallography" title="X-ray crystallography">X-ray crystallography</a> is the primary method for determining the molecular conformations of biological <a href="/wiki/Macromolecule" title="Macromolecule">macromolecules</a>, particularly <a href="/wiki/Protein" title="Protein">protein</a> and <a href="/wiki/Nucleic_acid" title="Nucleic acid">nucleic acids</a> such as <a href="/wiki/DNA" title="DNA">DNA</a> and <a href="/wiki/RNA" title="RNA">RNA</a>. The double-helical structure of DNA was deduced from crystallographic data. The first crystal structure of a macromolecule was solved in 1958, a three-dimensional model of the myoglobin molecule obtained by X-ray analysis.<sup id="cite_ref-15" class="reference"><a href="#cite_note-15"><span class="cite-bracket">[</span>15<span class="cite-bracket">]</span></a></sup> The <a href="/wiki/Protein_Data_Bank" title="Protein Data Bank">Protein Data Bank</a> (PDB) is a freely accessible repository for the structures of proteins and other biological macromolecules. Computer programs such as <a href="/wiki/RasMol" title="RasMol">RasMol</a>, <a href="/wiki/Pymol" class="mw-redirect" title="Pymol">Pymol</a> or <a href="/wiki/Visual_Molecular_Dynamics" title="Visual Molecular Dynamics">VMD</a> can be used to visualize biological molecular structures. <a href="/wiki/Neutron_crystallography" class="mw-redirect" title="Neutron crystallography">Neutron crystallography</a> is often used to help refine structures obtained by X-ray methods or to solve a specific bond; the methods are often viewed as complementary, as X-rays are sensitive to electron positions and scatter most strongly off heavy atoms, while neutrons are sensitive to nucleus positions and scatter strongly even off many light isotopes, including hydrogen and deuterium. <a href="/wiki/Electron_diffraction" title="Electron diffraction">Electron diffraction</a> has been used to determine some protein structures, most notably <a href="/wiki/Membrane_protein" title="Membrane protein">membrane proteins</a> and <a href="/wiki/Viral_capsid" class="mw-redirect" title="Viral capsid">viral capsids</a>. </p> <div class="mw-heading mw-heading2"><h2 id="Notation">Notation</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Crystallography&action=edit&section=6" title="Edit section: Notation"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1236090951"><div role="note" class="hatnote navigation-not-searchable">Main article: <a href="/wiki/Miller_index" title="Miller index">Miller index</a></div> <ul><li>Coordinates in <i>square <a href="/wiki/Bracket" title="Bracket">brackets</a></i> such as <b>[100]</b> denote a direction vector (in real space).</li> <li>Coordinates in <i>angle brackets</i> or <i>chevrons</i> such as <b><100></b> denote a <i>family</i> of directions which are related by symmetry operations. In the cubic <a href="/wiki/Crystal_system" title="Crystal system">crystal system</a> for example, <b><100></b> would mean [100], [010], [001] or the negative of any of those directions.</li> <li><a href="/wiki/Miller_Index" class="mw-redirect" title="Miller Index">Miller indices</a> in <i>parentheses</i> such as <b>(100)</b> denote a plane of the crystal structure, and regular repetitions of that plane with a particular spacing. In the cubic system, the <a href="/wiki/Normal_(geometry)" title="Normal (geometry)">normal</a> to the (hkl) plane is the direction [hkl], but in lower-symmetry cases, the normal to (hkl) is not parallel to [hkl].</li> <li>Indices in <i>curly brackets</i> or <i>braces</i> such as <b>{100}</b> denote a family of planes and their normals. In cubic materials the symmetry makes them equivalent, just as the way angle brackets denote a family of directions. In non-cubic materials, <hkl> is not necessarily perpendicular to {hkl}.</li></ul> <div class="mw-heading mw-heading2"><h2 id="Reference_literature">Reference literature</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Crystallography&action=edit&section=7" title="Edit section: Reference literature"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>The <i>International Tables for Crystallography</i><sup id="cite_ref-16" class="reference"><a href="#cite_note-16"><span class="cite-bracket">[</span>16<span class="cite-bracket">]</span></a></sup> is an eight-book series that outlines the standard notations for formatting, describing and testing crystals. The series contains books that covers analysis methods and the mathematical procedures for determining organic structure through x-ray crystallography, electron diffraction, and neutron diffraction. The International tables are focused on procedures, techniques and descriptions and do not list the physical properties of individual crystals themselves. Each book is about 1000 pages and the titles of the books are: </p> <dl><dd>Vol A - <i>Space Group Symmetry</i>,</dd> <dd>Vol A1 - <i>Symmetry Relations Between Space Groups</i>,</dd> <dd>Vol B - <i>Reciprocal Space</i>,</dd> <dd>Vol C - <i>Mathematical, Physical, and Chemical Tables</i>,</dd> <dd>Vol D - <i>Physical Properties of Crystals</i>,</dd> <dd>Vol E - <i>Subperiodic Groups</i>,</dd> <dd>Vol F - <i>Crystallography of Biological Macromolecules</i>, and</dd> <dd>Vol G - <i>Definition and Exchange of Crystallographic Data</i>.</dd></dl> <div class="mw-heading mw-heading2"><h2 id="Notable_scientists">Notable scientists</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Crystallography&action=edit&section=8" title="Edit section: Notable scientists"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <style data-mw-deduplicate="TemplateStyles:r1184024115">.mw-parser-output .div-col{margin-top:0.3em;column-width:30em}.mw-parser-output .div-col-small{font-size:90%}.mw-parser-output .div-col-rules{column-rule:1px solid #aaa}.mw-parser-output .div-col dl,.mw-parser-output .div-col ol,.mw-parser-output .div-col ul{margin-top:0}.mw-parser-output .div-col li,.mw-parser-output .div-col dd{page-break-inside:avoid;break-inside:avoid-column}</style><div class="div-col" style="column-width: 22em;"> <ul><li><a href="/wiki/William_Astbury" title="William Astbury">William Astbury</a></li> <li><a href="/wiki/William_Barlow_(geologist)" title="William Barlow (geologist)">William Barlow</a></li> <li><a href="/wiki/C._Arnold_Beevers" title="C. Arnold Beevers">C. Arnold Beevers</a></li> <li><a href="/wiki/John_Desmond_Bernal" class="mw-redirect" title="John Desmond Bernal">John Desmond Bernal</a></li> <li><a href="/wiki/William_Henry_Bragg" title="William Henry Bragg">William Henry Bragg</a></li> <li><a href="/wiki/William_Lawrence_Bragg" class="mw-redirect" title="William Lawrence Bragg">William Lawrence Bragg</a></li> <li><a href="/wiki/Auguste_Bravais" title="Auguste Bravais">Auguste Bravais</a></li> <li><a href="/wiki/Liquid_Crystal_Institute#Directors" title="Liquid Crystal Institute">Glenn H. Brown</a></li> <li><a href="/wiki/Martin_Julian_Buerger" title="Martin Julian Buerger">Martin Julian Buerger</a></li> <li><a href="/wiki/Ernest_Gordon_Cox" title="Ernest Gordon Cox">Sir Gordon Cox</a></li> <li><a href="/wiki/Francis_Crick" title="Francis Crick">Francis Crick</a></li> <li><a href="/wiki/Durward_William_John_Cruickshank" title="Durward William John Cruickshank">D. W. J. Cruickshank</a></li> <li><a href="/wiki/Pierre_Curie" title="Pierre Curie">Pierre Curie</a></li> <li><a href="/wiki/Peter_Debye" title="Peter Debye">Peter Debye</a></li> <li><a href="/wiki/Johann_Deisenhofer" title="Johann Deisenhofer">Johann Deisenhofer</a></li> <li><a href="/wiki/Boris_Delone" class="mw-redirect" title="Boris Delone">Boris Delone</a></li> <li><a href="/wiki/Gautam_R._Desiraju" title="Gautam R. Desiraju">Gautam R. Desiraju</a></li> <li><a href="/wiki/Eleanor_Dodson" title="Eleanor Dodson">Eleanor Dodson</a></li> <li><a href="/wiki/Jack_Dunitz" class="mw-redirect" title="Jack Dunitz">Jack Dunitz</a></li> <li><a href="/wiki/David_Eisenberg" title="David Eisenberg">David Eisenberg</a></li> <li><a href="/wiki/Paul_Peter_Ewald" title="Paul Peter Ewald">Paul Peter Ewald</a></li> <li><a href="/wiki/Yevgraf_Fyodorov" class="mw-redirect" title="Yevgraf Fyodorov">Evgraf Stepanovich Fedorov</a></li> <li><a href="/wiki/Rosalind_Franklin" title="Rosalind Franklin">Rosalind Franklin</a></li> <li><a href="/wiki/Georges_Friedel" title="Georges Friedel">Georges Friedel</a></li> <li><a href="/wiki/Jenny_Glusker" title="Jenny Glusker">Jenny Glusker</a></li> <li><a href="/wiki/Paul_Heinrich_von_Groth" title="Paul Heinrich von Groth">Paul Heinrich von Groth</a></li> <li><a href="/wiki/Herbert_A._Hauptman" title="Herbert A. Hauptman">Herbert A. Hauptman</a></li> <li><a href="/wiki/Ren%C3%A9_Just_Ha%C3%BCy" title="René Just Haüy">René Just Haüy</a></li> <li><a href="/wiki/Wayne_Hendrickson" title="Wayne Hendrickson">Wayne Hendrickson</a></li> <li><a href="/wiki/Carl_Hermann" class="mw-redirect" title="Carl Hermann">Carl Hermann</a></li> <li><a href="/wiki/Johann_Friedrich_Christian_Hessel" class="mw-redirect" title="Johann Friedrich Christian Hessel">Johann Friedrich Christian Hessel</a></li> <li><a href="/wiki/Dorothy_Crowfoot_Hodgkin" class="mw-redirect" title="Dorothy Crowfoot Hodgkin">Dorothy Crowfoot Hodgkin</a></li> <li><a href="/wiki/Judith_Howard" title="Judith Howard">Judith Howard</a></li> <li><a href="/wiki/Robert_Huber" title="Robert Huber">Robert Huber</a></li> <li><a href="/wiki/Louise_Johnson" title="Louise Johnson">Louise Johnson</a></li> <li><a href="/wiki/Isabella_Karle" title="Isabella Karle">Isabella Karle</a></li> <li><a href="/wiki/Jerome_Karle" title="Jerome Karle">Jerome Karle</a></li> <li><a href="/wiki/Olga_Kennard" title="Olga Kennard">Olga Kennard</a></li> <li><a href="/wiki/Aaron_Klug" title="Aaron Klug">Aaron Klug</a></li> <li><a href="/wiki/Max_von_Laue" title="Max von Laue">Max von Laue</a></li> <li><a href="/wiki/Otto_Lehmann_(physicist)" title="Otto Lehmann (physicist)">Otto Lehmann</a></li> <li><a href="/wiki/Michael_Levitt_(biophysicist)" title="Michael Levitt (biophysicist)">Michael Levitt</a></li> <li><a href="/wiki/Henry_Lipson" title="Henry Lipson">Henry Lipson</a></li> <li><a href="/wiki/Kathleen_Lonsdale" title="Kathleen Lonsdale">Kathleen Lonsdale</a></li> <li><a href="/wiki/Ernest-Fran%C3%A7ois_Mallard" title="Ernest-François Mallard">Ernest-François Mallard</a></li> <li><a href="/wiki/Charles-Victor_Mauguin" title="Charles-Victor Mauguin">Charles-Victor Mauguin</a></li> <li><a href="/wiki/William_Hallowes_Miller" title="William Hallowes Miller">William Hallowes Miller</a></li> <li><a href="/wiki/Friedrich_Mohs" title="Friedrich Mohs">Friedrich Mohs</a></li> <li><a href="/wiki/Paul_Niggli" title="Paul Niggli">Paul Niggli</a></li> <li><a href="/wiki/Louis_Pasteur" title="Louis Pasteur">Louis Pasteur</a></li> <li><a href="/wiki/Arthur_Lindo_Patterson" title="Arthur Lindo Patterson">Arthur Lindo Patterson</a></li> <li><a href="/wiki/Max_Perutz" title="Max Perutz">Max Perutz</a></li> <li><a href="/wiki/Friedrich_Reinitzer" title="Friedrich Reinitzer">Friedrich Reinitzer</a></li> <li><a href="/wiki/Hugo_Rietveld" title="Hugo Rietveld">Hugo Rietveld</a></li> <li><a href="/wiki/Jean-Baptiste_L._Rom%C3%A9_de_l%27Isle" title="Jean-Baptiste L. Romé de l'Isle">Jean-Baptiste L. Romé de l'Isle</a></li> <li><a href="/wiki/Michael_Rossmann" title="Michael Rossmann">Michael Rossmann</a></li> <li><a href="/wiki/Paul_Scherrer" title="Paul Scherrer">Paul Scherrer</a></li> <li><a href="/wiki/Arthur_Moritz_Sch%C3%B6nflies" class="mw-redirect" title="Arthur Moritz Schönflies">Arthur Moritz Schönflies</a></li> <li><a href="/wiki/Dan_Shechtman" title="Dan Shechtman">Dan Shechtman</a></li> <li><a href="/wiki/George_M._Sheldrick" title="George M. Sheldrick">George M. Sheldrick</a></li> <li><a href="/wiki/Tej_P._Singh" title="Tej P. Singh">Tej P. Singh</a></li> <li><a href="/wiki/Nicolas_Steno" title="Nicolas Steno">Nicolas Steno</a></li> <li><a href="/wiki/Constance_Tipper" title="Constance Tipper">Constance Tipper</a></li> <li><a href="/wiki/Daniel_Vorl%C3%A4nder" title="Daniel Vorländer">Daniel Vorländer</a></li> <li><a href="/wiki/Christian_Samuel_Weiss" title="Christian Samuel Weiss">Christian Samuel Weiss</a></li> <li><a href="/wiki/Don_Craig_Wiley" title="Don Craig Wiley">Don Craig Wiley</a></li> <li><a href="/wiki/Michael_Woolfson" title="Michael Woolfson">Michael Woolfson</a></li> <li><a href="/wiki/Ralph_Walter_Graystone_Wyckoff" title="Ralph Walter Graystone Wyckoff">Ralph Walter Graystone Wyckoff</a></li> <li><a href="/wiki/Ada_Yonath" title="Ada Yonath">Ada Yonath</a></li></ul></div> <p><br /> </p> <div class="mw-heading mw-heading2"><h2 id="See_also">See also</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Crystallography&action=edit&section=9" title="Edit section: See also"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1184024115"><div class="div-col" style="column-width: 22em;"> <ul><li><a href="/wiki/Atomic_packing_factor" title="Atomic packing factor">Atomic packing factor</a></li> <li><a href="/wiki/Crystal_structure" title="Crystal structure">Crystal structure</a></li> <li><a href="/wiki/Crystallographic_database" title="Crystallographic database">Crystallographic database</a></li> <li><a href="/wiki/Crystallographic_point_group" title="Crystallographic point group">Crystallographic point group</a></li> <li><a href="/wiki/Crystallographic_group" class="mw-redirect" title="Crystallographic group">Crystallographic group</a></li> <li><a href="/wiki/Dana_classification_system" title="Dana classification system">Dana classification system</a></li> <li><a href="/wiki/Electron_crystallography" title="Electron crystallography">Electron crystallography</a></li> <li><a href="/wiki/Electron_diffraction" title="Electron diffraction">Electron diffraction</a></li> <li><a href="/wiki/Fractional_coordinates" title="Fractional coordinates">Fractional coordinates</a></li> <li><a href="/wiki/Low-energy_electron_diffraction" title="Low-energy electron diffraction">Low-energy electron diffraction</a></li> <li><a href="/wiki/Neutron_crystallography" class="mw-redirect" title="Neutron crystallography">Neutron crystallography</a></li> <li><a href="/wiki/Open-pool_Australian_lightwater_reactor" title="Open-pool Australian lightwater reactor">Neutron diffraction at OPAL</a></li> <li><a href="/wiki/Institut_Laue%E2%80%93Langevin" title="Institut Laue–Langevin">Neutron diffraction at the ILL</a></li> <li><a href="/wiki/NMR_crystallography" class="mw-redirect" title="NMR crystallography">NMR crystallography</a></li> <li><a href="/wiki/Point_group" title="Point group">Point group</a></li> <li><a href="/wiki/Precession_electron_diffraction" title="Precession electron diffraction">Precession electron diffraction</a></li> <li><a href="/wiki/Quasicrystal" title="Quasicrystal">Quasicrystal</a></li> <li><a href="/wiki/Reflection_high-energy_electron_diffraction" title="Reflection high-energy electron diffraction">Reflection high-energy electron diffraction</a></li> <li><a href="/wiki/Space_group" title="Space group">Space group</a></li> <li><a href="/wiki/Symmetric_group" title="Symmetric group">Symmetric group</a></li> <li><a href="/wiki/Timeline_of_crystallography" title="Timeline of crystallography">Timeline of crystallography</a></li> <li><a href="/wiki/Transmission_electron_microscopy" title="Transmission electron microscopy">Transmission electron microscopy</a></li> <li><a href="/wiki/X-ray_crystallography" title="X-ray crystallography">X-ray crystallography</a></li></ul> </div> <div class="mw-heading mw-heading2"><h2 id="References">References</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Crystallography&action=edit&section=10" title="Edit section: References"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <style data-mw-deduplicate="TemplateStyles:r1239543626">.mw-parser-output .reflist{margin-bottom:0.5em;list-style-type:decimal}@media screen{.mw-parser-output .reflist{font-size:90%}}.mw-parser-output .reflist .references{font-size:100%;margin-bottom:0;list-style-type:inherit}.mw-parser-output .reflist-columns-2{column-width:30em}.mw-parser-output .reflist-columns-3{column-width:25em}.mw-parser-output .reflist-columns{margin-top:0.3em}.mw-parser-output .reflist-columns ol{margin-top:0}.mw-parser-output .reflist-columns li{page-break-inside:avoid;break-inside:avoid-column}.mw-parser-output .reflist-upper-alpha{list-style-type:upper-alpha}.mw-parser-output .reflist-upper-roman{list-style-type:upper-roman}.mw-parser-output .reflist-lower-alpha{list-style-type:lower-alpha}.mw-parser-output .reflist-lower-greek{list-style-type:lower-greek}.mw-parser-output .reflist-lower-roman{list-style-type:lower-roman}</style><div class="reflist"> <div class="mw-references-wrap mw-references-columns"><ol class="references"> <li id="cite_note-1"><span class="mw-cite-backlink"><b><a href="#cite_ref-1">^</a></b></span> <span class="reference-text"><style data-mw-deduplicate="TemplateStyles:r1238218222">.mw-parser-output cite.citation{font-style:inherit;word-wrap:break-word}.mw-parser-output .citation q{quotes:"\"""\"""'""'"}.mw-parser-output .citation:target{background-color:rgba(0,127,255,0.133)}.mw-parser-output .id-lock-free.id-lock-free a{background:url("//upload.wikimedia.org/wikipedia/commons/6/65/Lock-green.svg")right 0.1em center/9px no-repeat}.mw-parser-output .id-lock-limited.id-lock-limited a,.mw-parser-output .id-lock-registration.id-lock-registration a{background:url("//upload.wikimedia.org/wikipedia/commons/d/d6/Lock-gray-alt-2.svg")right 0.1em center/9px no-repeat}.mw-parser-output .id-lock-subscription.id-lock-subscription a{background:url("//upload.wikimedia.org/wikipedia/commons/a/aa/Lock-red-alt-2.svg")right 0.1em center/9px no-repeat}.mw-parser-output .cs1-ws-icon a{background:url("//upload.wikimedia.org/wikipedia/commons/4/4c/Wikisource-logo.svg")right 0.1em center/12px no-repeat}body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-free a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-limited a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-registration a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-subscription a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .cs1-ws-icon a{background-size:contain;padding:0 1em 0 0}.mw-parser-output .cs1-code{color:inherit;background:inherit;border:none;padding:inherit}.mw-parser-output .cs1-hidden-error{display:none;color:var(--color-error,#d33)}.mw-parser-output .cs1-visible-error{color:var(--color-error,#d33)}.mw-parser-output .cs1-maint{display:none;color:#085;margin-left:0.3em}.mw-parser-output .cs1-kern-left{padding-left:0.2em}.mw-parser-output .cs1-kern-right{padding-right:0.2em}.mw-parser-output .citation .mw-selflink{font-weight:inherit}@media screen{.mw-parser-output .cs1-format{font-size:95%}html.skin-theme-clientpref-night .mw-parser-output .cs1-maint{color:#18911f}}@media screen and (prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .cs1-maint{color:#18911f}}</style><cite id="CITEREFChapuis" class="citation web cs1">Chapuis, Gervais (ed.). <a rel="nofollow" class="external text" href="https://dictionary.iucr.org/Main_Page">"Online Dictionary of Crystallography"</a>. <i>Online dictionary of crystallography</i>. <a href="/wiki/International_Union_of_Crystallography" title="International Union of Crystallography">International Union of Crystallography</a><span class="reference-accessdate">. Retrieved <span class="nowrap">2024-05-22</span></span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=unknown&rft.jtitle=Online+dictionary+of+crystallography&rft.atitle=Online+Dictionary+of+Crystallography&rft_id=https%3A%2F%2Fdictionary.iucr.org%2FMain_Page&rfr_id=info%3Asid%2Fen.wikipedia.org%3ACrystallography" class="Z3988"></span></span> </li> <li id="cite_note-2"><span class="mw-cite-backlink"><b><a href="#cite_ref-2">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite class="citation web cs1"><a rel="nofollow" class="external text" href="https://dictionary.iucr.org/Main_Page">"Online Dictionary of Crystallography"</a>. <i>International Union of Crystallography</i>. 2021-10-21<span class="reference-accessdate">. Retrieved <span class="nowrap">2024-03-11</span></span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=unknown&rft.jtitle=International+Union+of+Crystallography&rft.atitle=Online+Dictionary+of+Crystallography&rft.date=2021-10-21&rft_id=https%3A%2F%2Fdictionary.iucr.org%2FMain_Page&rfr_id=info%3Asid%2Fen.wikipedia.org%3ACrystallography" class="Z3988"></span></span> </li> <li id="cite_note-UN_Resolution-3"><span class="mw-cite-backlink"><b><a href="#cite_ref-UN_Resolution_3-0">^</a></b></span> <span class="reference-text"><a rel="nofollow" class="external text" href="http://www.iycr2014.org/about/resolution">UN announcement "International Year of Crystallography"</a>. iycr2014.org. 12 July 2012</span> </li> <li id="cite_note-4"><span class="mw-cite-backlink"><b><a href="#cite_ref-4">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite class="citation journal cs1"><a rel="nofollow" class="external text" href="https://doi.org/10.1038%2F095564a0">"The Evolution of the Goniometer"</a>. <i>Nature</i>. <b>95</b> (2386): 564–565. 1915-07-01. <a href="/wiki/Bibcode_(identifier)" class="mw-redirect" title="Bibcode (identifier)">Bibcode</a>:<a rel="nofollow" class="external text" href="https://ui.adsabs.harvard.edu/abs/1915Natur..95..564.">1915Natur..95..564.</a>. <a href="/wiki/Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<span class="id-lock-free" title="Freely accessible"><a rel="nofollow" class="external text" href="https://doi.org/10.1038%2F095564a0">10.1038/095564a0</a></span>. <a href="/wiki/ISSN_(identifier)" class="mw-redirect" title="ISSN (identifier)">ISSN</a> <a rel="nofollow" class="external text" href="https://search.worldcat.org/issn/1476-4687">1476-4687</a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.jtitle=Nature&rft.atitle=The+Evolution+of+the+Goniometer&rft.volume=95&rft.issue=2386&rft.pages=564-565&rft.date=1915-07-01&rft.issn=1476-4687&rft_id=info%3Adoi%2F10.1038%2F095564a0&rft_id=info%3Abibcode%2F1915Natur..95..564.&rft_id=https%3A%2F%2Fdoi.org%2F10.1038%252F095564a0&rfr_id=info%3Asid%2Fen.wikipedia.org%3ACrystallography" class="Z3988"></span></span> </li> <li id="cite_note-5"><span class="mw-cite-backlink"><b><a href="#cite_ref-5">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFMolčanovStilinović2014" class="citation journal cs1">Molčanov, Krešimir; Stilinović, Vladimir (2014-01-13). <a rel="nofollow" class="external text" href="https://onlinelibrary.wiley.com/doi/10.1002/anie.201301319">"Chemical Crystallography before X-ray Diffraction"</a>. <i>Angewandte Chemie International Edition</i>. <b>53</b> (3): 638–652. <a href="/wiki/Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<a rel="nofollow" class="external text" href="https://doi.org/10.1002%2Fanie.201301319">10.1002/anie.201301319</a>. <a href="/wiki/ISSN_(identifier)" class="mw-redirect" title="ISSN (identifier)">ISSN</a> <a rel="nofollow" class="external text" href="https://search.worldcat.org/issn/1433-7851">1433-7851</a>. <a href="/wiki/PMID_(identifier)" class="mw-redirect" title="PMID (identifier)">PMID</a> <a rel="nofollow" class="external text" href="https://pubmed.ncbi.nlm.nih.gov/24065378">24065378</a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.jtitle=Angewandte+Chemie+International+Edition&rft.atitle=Chemical+Crystallography+before+X-ray+Diffraction&rft.volume=53&rft.issue=3&rft.pages=638-652&rft.date=2014-01-13&rft.issn=1433-7851&rft_id=info%3Apmid%2F24065378&rft_id=info%3Adoi%2F10.1002%2Fanie.201301319&rft.aulast=Mol%C4%8Danov&rft.aufirst=Kre%C5%A1imir&rft.au=Stilinovi%C4%87%2C+Vladimir&rft_id=https%3A%2F%2Fonlinelibrary.wiley.com%2Fdoi%2F10.1002%2Fanie.201301319&rfr_id=info%3Asid%2Fen.wikipedia.org%3ACrystallography" class="Z3988"></span></span> </li> <li id="cite_note-6"><span class="mw-cite-backlink"><b><a href="#cite_ref-6">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFMascarenhas2020" class="citation journal cs1">Mascarenhas, Yvonne Primerano (2020-03-02). <a rel="nofollow" class="external text" href="https://doi.org/10.1590%2F1806-9126-RBEF-2019-0336">"Crystallography before the Discovery of X-Ray Diffraction"</a>. <i>Revista Brasileira de Ensino de Física</i>. <b>42</b>: e20190336. <a href="/wiki/Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<span class="id-lock-free" title="Freely accessible"><a rel="nofollow" class="external text" href="https://doi.org/10.1590%2F1806-9126-RBEF-2019-0336">10.1590/1806-9126-RBEF-2019-0336</a></span>. <a href="/wiki/ISSN_(identifier)" class="mw-redirect" title="ISSN (identifier)">ISSN</a> <a rel="nofollow" class="external text" href="https://search.worldcat.org/issn/1806-1117">1806-1117</a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.jtitle=Revista+Brasileira+de+Ensino+de+F%C3%ADsica&rft.atitle=Crystallography+before+the+Discovery+of+X-Ray+Diffraction&rft.volume=42&rft.pages=e20190336&rft.date=2020-03-02&rft_id=info%3Adoi%2F10.1590%2F1806-9126-RBEF-2019-0336&rft.issn=1806-1117&rft.aulast=Mascarenhas&rft.aufirst=Yvonne+Primerano&rft_id=https%3A%2F%2Fdoi.org%2F10.1590%252F1806-9126-RBEF-2019-0336&rfr_id=info%3Asid%2Fen.wikipedia.org%3ACrystallography" class="Z3988"></span></span> </li> <li id="cite_note-L1912-7"><span class="mw-cite-backlink"><b><a href="#cite_ref-L1912_7-0">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFFriedrichKnippingvon_Laue1912" class="citation journal cs1">Friedrich W, Knipping P, von Laue M (1912). <a class="external text" href="https://commons.wikimedia.org/wiki/File:Interferenz-Erscheinungen_bei_Röntgenstrahlen.pdf">"Interferenz-Erscheinungen bei Röntgenstrahlen"</a> <span class="cs1-format">(PDF)</span>. <i>Sitzungsberichte der Mathematisch-Physikalischen Classe der Königlich-Bayerischen Akademie der Wissenschaften zu München</i> [<i>Interference phenomena in X-rays</i>]. <b>1912</b>: 303.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.jtitle=Sitzungsberichte+der+Mathematisch-Physikalischen+Classe+der+K%C3%B6niglich-Bayerischen+Akademie+der+Wissenschaften+zu+M%C3%BCnchen&rft.atitle=Interferenz-Erscheinungen+bei+R%C3%B6ntgenstrahlen&rft.volume=1912&rft.pages=303&rft.date=1912&rft.aulast=Friedrich&rft.aufirst=W&rft.au=Knipping%2C+P&rft.au=von+Laue%2C+M&rft_id=https%3A%2F%2Fcommons.wikimedia.org%2Fwiki%2FFile%3AInterferenz-Erscheinungen_bei_R%C3%B6ntgenstrahlen.pdf&rfr_id=info%3Asid%2Fen.wikipedia.org%3ACrystallography" class="Z3988"></span></span> </li> <li id="cite_note-8"><span class="mw-cite-backlink"><b><a href="#cite_ref-8">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFDavissonGermer1927" class="citation journal cs1">Davisson, C.; Germer, L. H. (1927). <a rel="nofollow" class="external text" href="https://www.nature.com/articles/119558a0">"The Scattering of Electrons by a Single Crystal of Nickel"</a>. <i>Nature</i>. <b>119</b> (2998): 558–560. <a href="/wiki/Bibcode_(identifier)" class="mw-redirect" title="Bibcode (identifier)">Bibcode</a>:<a rel="nofollow" class="external text" href="https://ui.adsabs.harvard.edu/abs/1927Natur.119..558D">1927Natur.119..558D</a>. <a href="/wiki/Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<a rel="nofollow" class="external text" href="https://doi.org/10.1038%2F119558a0">10.1038/119558a0</a>. <a href="/wiki/ISSN_(identifier)" class="mw-redirect" title="ISSN (identifier)">ISSN</a> <a rel="nofollow" class="external text" href="https://search.worldcat.org/issn/1476-4687">1476-4687</a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.jtitle=Nature&rft.atitle=The+Scattering+of+Electrons+by+a+Single+Crystal+of+Nickel&rft.volume=119&rft.issue=2998&rft.pages=558-560&rft.date=1927&rft.issn=1476-4687&rft_id=info%3Adoi%2F10.1038%2F119558a0&rft_id=info%3Abibcode%2F1927Natur.119..558D&rft.aulast=Davisson&rft.aufirst=C.&rft.au=Germer%2C+L.+H.&rft_id=https%3A%2F%2Fwww.nature.com%2Farticles%2F119558a0&rfr_id=info%3Asid%2Fen.wikipedia.org%3ACrystallography" class="Z3988"></span></span> </li> <li id="cite_note-9"><span class="mw-cite-backlink"><b><a href="#cite_ref-9">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFThomsonReid1927" class="citation journal cs1">Thomson, G. P.; Reid, A. (1927). <a rel="nofollow" class="external text" href="https://www.nature.com/articles/119890a0">"Diffraction of Cathode Rays by a Thin Film"</a>. <i>Nature</i>. <b>119</b> (3007): 890. <a href="/wiki/Bibcode_(identifier)" class="mw-redirect" title="Bibcode (identifier)">Bibcode</a>:<a rel="nofollow" class="external text" href="https://ui.adsabs.harvard.edu/abs/1927Natur.119Q.890T">1927Natur.119Q.890T</a>. <a href="/wiki/Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<a rel="nofollow" class="external text" href="https://doi.org/10.1038%2F119890a0">10.1038/119890a0</a>. <a href="/wiki/ISSN_(identifier)" class="mw-redirect" title="ISSN (identifier)">ISSN</a> <a rel="nofollow" class="external text" href="https://search.worldcat.org/issn/1476-4687">1476-4687</a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.jtitle=Nature&rft.atitle=Diffraction+of+Cathode+Rays+by+a+Thin+Film&rft.volume=119&rft.issue=3007&rft.pages=890&rft.date=1927&rft.issn=1476-4687&rft_id=info%3Adoi%2F10.1038%2F119890a0&rft_id=info%3Abibcode%2F1927Natur.119Q.890T&rft.aulast=Thomson&rft.aufirst=G.+P.&rft.au=Reid%2C+A.&rft_id=https%3A%2F%2Fwww.nature.com%2Farticles%2F119890a0&rfr_id=info%3Asid%2Fen.wikipedia.org%3ACrystallography" class="Z3988"></span></span> </li> <li id="cite_note-10"><span class="mw-cite-backlink"><b><a href="#cite_ref-10">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFBrooks-BartlettGarman2015" class="citation journal cs1">Brooks-Bartlett, Jonathan C.; Garman, Elspeth F. (2015-07-03). <a rel="nofollow" class="external text" href="https://journals.sagepub.com/doi/full/10.1179/0308018815Z.000000000116">"The Nobel Science: One Hundred Years of Crystallography"</a>. <i>Interdisciplinary Science Reviews</i>. <b>40</b> (3): 244–264. <a href="/wiki/Bibcode_(identifier)" class="mw-redirect" title="Bibcode (identifier)">Bibcode</a>:<a rel="nofollow" class="external text" href="https://ui.adsabs.harvard.edu/abs/2015ISRv...40..244B">2015ISRv...40..244B</a>. <a href="/wiki/Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<a rel="nofollow" class="external text" href="https://doi.org/10.1179%2F0308018815Z.000000000116">10.1179/0308018815Z.000000000116</a>. <a href="/wiki/ISSN_(identifier)" class="mw-redirect" title="ISSN (identifier)">ISSN</a> <a rel="nofollow" class="external text" href="https://search.worldcat.org/issn/0308-0188">0308-0188</a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.jtitle=Interdisciplinary+Science+Reviews&rft.atitle=The+Nobel+Science%3A+One+Hundred+Years+of+Crystallography&rft.volume=40&rft.issue=3&rft.pages=244-264&rft.date=2015-07-03&rft.issn=0308-0188&rft_id=info%3Adoi%2F10.1179%2F0308018815Z.000000000116&rft_id=info%3Abibcode%2F2015ISRv...40..244B&rft.aulast=Brooks-Bartlett&rft.aufirst=Jonathan+C.&rft.au=Garman%2C+Elspeth+F.&rft_id=https%3A%2F%2Fjournals.sagepub.com%2Fdoi%2Ffull%2F10.1179%2F0308018815Z.000000000116&rfr_id=info%3Asid%2Fen.wikipedia.org%3ACrystallography" class="Z3988"></span></span> </li> <li id="cite_note-11"><span class="mw-cite-backlink"><b><a href="#cite_ref-11">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFCullityStock2001" class="citation book cs1">Cullity, B. D.; Stock, Stuart R. (2001). <a class="external text" href="https://en.wikipedia.org/wiki/Special:BookSources/0-201-61091-4"><i>Elements of X-ray diffraction</i></a> (3rd ed.). Upper Saddle River, NJ: Prentice Hall. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/978-0-201-61091-8" title="Special:BookSources/978-0-201-61091-8"><bdi>978-0-201-61091-8</bdi></a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Elements+of+X-ray+diffraction&rft.place=Upper+Saddle+River%2C+NJ&rft.edition=3rd&rft.pub=Prentice+Hall&rft.date=2001&rft.isbn=978-0-201-61091-8&rft.aulast=Cullity&rft.aufirst=B.+D.&rft.au=Stock%2C+Stuart+R.&rft_id=https%3A%2F%2Fen.wikipedia.org%2Fwiki%2FSpecial%3ABookSources%2F0-201-61091-4&rfr_id=info%3Asid%2Fen.wikipedia.org%3ACrystallography" class="Z3988"></span></span> </li> <li id="cite_note-12"><span class="mw-cite-backlink"><b><a href="#cite_ref-12">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite class="citation web cs1"><a rel="nofollow" class="external text" href="https://www.isis.stfc.ac.uk/Pages/Neutron-Diffraction-with-Isotopic-Substitution.aspx">"ISIS Neutron Diffraction with Isotopic Substitution"</a>. <i>www.isis.stfc.ac.uk</i><span class="reference-accessdate">. Retrieved <span class="nowrap">2024-07-02</span></span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=unknown&rft.jtitle=www.isis.stfc.ac.uk&rft.atitle=ISIS+Neutron+Diffraction+with+Isotopic+Substitution&rft_id=https%3A%2F%2Fwww.isis.stfc.ac.uk%2FPages%2FNeutron-Diffraction-with-Isotopic-Substitution.aspx&rfr_id=info%3Asid%2Fen.wikipedia.org%3ACrystallography" class="Z3988"></span></span> </li> <li id="cite_note-13"><span class="mw-cite-backlink"><b><a href="#cite_ref-13">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFCowley1995" class="citation book cs1"><a href="/wiki/John_Maxwell_Cowley" class="mw-redirect" title="John Maxwell Cowley">Cowley, John Maxwell</a> (1995). <a class="external text" href="https://en.wikipedia.org/wiki/Special:BookSources/0-444-82218-6"><i>Diffraction physics</i></a>. North-Holland personal library (3rd ed.). Amsterdam ; New York: Elsevier Science B.V. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/978-0-444-82218-5" title="Special:BookSources/978-0-444-82218-5"><bdi>978-0-444-82218-5</bdi></a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Diffraction+physics&rft.place=Amsterdam+%3B+New+York&rft.series=North-Holland+personal+library&rft.edition=3rd&rft.pub=Elsevier+Science+B.V&rft.date=1995&rft.isbn=978-0-444-82218-5&rft.aulast=Cowley&rft.aufirst=John+Maxwell&rft_id=https%3A%2F%2Fen.wikipedia.org%2Fwiki%2FSpecial%3ABookSources%2F0-444-82218-6&rfr_id=info%3Asid%2Fen.wikipedia.org%3ACrystallography" class="Z3988"></span></span> </li> <li id="cite_note-14"><span class="mw-cite-backlink"><b><a href="#cite_ref-14">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite class="citation web cs1"><a rel="nofollow" class="external text" href="https://www.wiley.com/en-us/Materials+Science+and+Engineering%3A+An+Introduction%2C+10th+Edition-p-9781119405498">"Materials Science and Engineering: An Introduction, 10th Edition | Wiley"</a>. <i>Wiley.com</i><span class="reference-accessdate">. Retrieved <span class="nowrap">2022-09-10</span></span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=unknown&rft.jtitle=Wiley.com&rft.atitle=Materials+Science+and+Engineering%3A+An+Introduction%2C+10th+Edition+%7C+Wiley&rft_id=https%3A%2F%2Fwww.wiley.com%2Fen-us%2FMaterials%2BScience%2Band%2BEngineering%253A%2BAn%2BIntroduction%252C%2B10th%2BEdition-p-9781119405498&rfr_id=info%3Asid%2Fen.wikipedia.org%3ACrystallography" class="Z3988"></span></span> </li> <li id="cite_note-15"><span class="mw-cite-backlink"><b><a href="#cite_ref-15">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFKendrewBodoDintzisParrish1958" class="citation journal cs1">Kendrew, J. C.; Bodo, G.; Dintzis, H. M.; Parrish, R. G.; Wyckoff, H.; Phillips, D. C. (1958). "A Three-Dimensional Model of the Myoglobin Molecule Obtained by X-Ray Analysis". <i>Nature</i>. <b>181</b> (4610): 662–6. <a href="/wiki/Bibcode_(identifier)" class="mw-redirect" title="Bibcode (identifier)">Bibcode</a>:<a rel="nofollow" class="external text" href="https://ui.adsabs.harvard.edu/abs/1958Natur.181..662K">1958Natur.181..662K</a>. <a href="/wiki/Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<a rel="nofollow" class="external text" href="https://doi.org/10.1038%2F181662a0">10.1038/181662a0</a>. <a href="/wiki/PMID_(identifier)" class="mw-redirect" title="PMID (identifier)">PMID</a> <a rel="nofollow" class="external text" href="https://pubmed.ncbi.nlm.nih.gov/13517261">13517261</a>. <a href="/wiki/S2CID_(identifier)" class="mw-redirect" title="S2CID (identifier)">S2CID</a> <a rel="nofollow" class="external text" href="https://api.semanticscholar.org/CorpusID:4162786">4162786</a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.jtitle=Nature&rft.atitle=A+Three-Dimensional+Model+of+the+Myoglobin+Molecule+Obtained+by+X-Ray+Analysis&rft.volume=181&rft.issue=4610&rft.pages=662-6&rft.date=1958&rft_id=info%3Adoi%2F10.1038%2F181662a0&rft_id=https%3A%2F%2Fapi.semanticscholar.org%2FCorpusID%3A4162786%23id-name%3DS2CID&rft_id=info%3Apmid%2F13517261&rft_id=info%3Abibcode%2F1958Natur.181..662K&rft.aulast=Kendrew&rft.aufirst=J.+C.&rft.au=Bodo%2C+G.&rft.au=Dintzis%2C+H.+M.&rft.au=Parrish%2C+R.+G.&rft.au=Wyckoff%2C+H.&rft.au=Phillips%2C+D.+C.&rfr_id=info%3Asid%2Fen.wikipedia.org%3ACrystallography" class="Z3988"></span></span> </li> <li id="cite_note-16"><span class="mw-cite-backlink"><b><a href="#cite_ref-16">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFPrince2006" class="citation book cs1">Prince, E. (2006). <a rel="nofollow" class="external text" href="https://openlibrary.org/books/OL9332669M/Complete_Printed_Set_of_International_Tables_for_Crystallography"><i>International Tables for Crystallography Vol. C: Mathematical, Physical and Chemical Tables</i></a>. Wiley. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/978-1-4020-4969-9" title="Special:BookSources/978-1-4020-4969-9"><bdi>978-1-4020-4969-9</bdi></a>. <a href="/wiki/OCLC_(identifier)" class="mw-redirect" title="OCLC (identifier)">OCLC</a> <a rel="nofollow" class="external text" href="https://search.worldcat.org/oclc/166325528">166325528</a>. <a href="/wiki/OL_(identifier)" class="mw-redirect" title="OL (identifier)">OL</a> <a rel="nofollow" class="external text" href="https://openlibrary.org/books/OL9332669M">9332669M</a>. <a rel="nofollow" class="external text" href="https://web.archive.org/web/20220506075232/https://openlibrary.org/books/OL9332669M/Complete_Printed_Set_of_International_Tables_for_Crystallography">Archived</a> from the original on 6 May 2022.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=International+Tables+for+Crystallography+Vol.+C%3A+Mathematical%2C+Physical+and+Chemical+Tables&rft.pub=Wiley&rft.date=2006&rft_id=info%3Aoclcnum%2F166325528&rft_id=https%3A%2F%2Fopenlibrary.org%2Fbooks%2FOL9332669M%23id-name%3DOL&rft.isbn=978-1-4020-4969-9&rft.aulast=Prince&rft.aufirst=E.&rft_id=https%3A%2F%2Fopenlibrary.org%2Fbooks%2FOL9332669M%2FComplete_Printed_Set_of_International_Tables_for_Crystallography&rfr_id=info%3Asid%2Fen.wikipedia.org%3ACrystallography" class="Z3988"></span></span> </li> </ol></div></div> <div class="mw-heading mw-heading2"><h2 id="External_links">External links</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Crystallography&action=edit&section=11" title="Edit section: External links"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a rel="nofollow" class="external text" href="https://www.phase-trans.msm.cam.ac.uk/2020/Crystallography_book.pdf">Free book, Geometry of Crystals, Polycrystals and Phase Transformations</a></li> <li><a rel="nofollow" class="external text" href="http://www.AmerCrystalAssn.org/">American Crystallographic Association</a></li> <li><a rel="nofollow" class="external text" href="https://www.xtal.iqf.csic.es/Cristalografia/index-en.html">Learning Crystallography</a></li> <li><a rel="nofollow" class="external text" href="http://pd.chem.ucl.ac.uk/pdnn/pdindex.htm">Web Course on Crystallography</a></li> <li><a rel="nofollow" class="external text" href="http://img.chem.ucl.ac.uk/sgp/large/sgp.htm">Crystallographic Space Groups</a></li></ul> <div class="navbox-styles"><style data-mw-deduplicate="TemplateStyles:r1129693374">.mw-parser-output .hlist dl,.mw-parser-output .hlist ol,.mw-parser-output .hlist ul{margin:0;padding:0}.mw-parser-output .hlist dd,.mw-parser-output .hlist dt,.mw-parser-output .hlist li{margin:0;display:inline}.mw-parser-output .hlist.inline,.mw-parser-output .hlist.inline dl,.mw-parser-output .hlist.inline ol,.mw-parser-output .hlist.inline ul,.mw-parser-output .hlist dl dl,.mw-parser-output .hlist dl ol,.mw-parser-output .hlist dl ul,.mw-parser-output .hlist ol dl,.mw-parser-output .hlist ol ol,.mw-parser-output .hlist ol ul,.mw-parser-output .hlist ul dl,.mw-parser-output .hlist ul ol,.mw-parser-output .hlist ul ul{display:inline}.mw-parser-output .hlist .mw-empty-li{display:none}.mw-parser-output .hlist dt::after{content:": "}.mw-parser-output .hlist dd::after,.mw-parser-output .hlist li::after{content:" · ";font-weight:bold}.mw-parser-output .hlist dd:last-child::after,.mw-parser-output .hlist dt:last-child::after,.mw-parser-output .hlist li:last-child::after{content:none}.mw-parser-output .hlist dd dd:first-child::before,.mw-parser-output .hlist dd dt:first-child::before,.mw-parser-output .hlist dd li:first-child::before,.mw-parser-output .hlist dt dd:first-child::before,.mw-parser-output .hlist dt dt:first-child::before,.mw-parser-output .hlist dt li:first-child::before,.mw-parser-output .hlist li dd:first-child::before,.mw-parser-output .hlist li dt:first-child::before,.mw-parser-output .hlist li li:first-child::before{content:" (";font-weight:normal}.mw-parser-output .hlist dd dd:last-child::after,.mw-parser-output .hlist dd dt:last-child::after,.mw-parser-output .hlist dd li:last-child::after,.mw-parser-output .hlist dt dd:last-child::after,.mw-parser-output .hlist dt dt:last-child::after,.mw-parser-output .hlist dt li:last-child::after,.mw-parser-output .hlist li dd:last-child::after,.mw-parser-output .hlist li dt:last-child::after,.mw-parser-output .hlist li li:last-child::after{content:")";font-weight:normal}.mw-parser-output .hlist ol{counter-reset:listitem}.mw-parser-output .hlist ol>li{counter-increment:listitem}.mw-parser-output .hlist ol>li::before{content:" "counter(listitem)"\a0 "}.mw-parser-output .hlist dd ol>li:first-child::before,.mw-parser-output .hlist dt ol>li:first-child::before,.mw-parser-output .hlist li ol>li:first-child::before{content:" ("counter(listitem)"\a0 "}</style><style data-mw-deduplicate="TemplateStyles:r1236075235">.mw-parser-output .navbox{box-sizing:border-box;border:1px solid #a2a9b1;width:100%;clear:both;font-size:88%;text-align:center;padding:1px;margin:1em auto 0}.mw-parser-output .navbox .navbox{margin-top:0}.mw-parser-output .navbox+.navbox,.mw-parser-output .navbox+.navbox-styles+.navbox{margin-top:-1px}.mw-parser-output .navbox-inner,.mw-parser-output .navbox-subgroup{width:100%}.mw-parser-output .navbox-group,.mw-parser-output .navbox-title,.mw-parser-output .navbox-abovebelow{padding:0.25em 1em;line-height:1.5em;text-align:center}.mw-parser-output .navbox-group{white-space:nowrap;text-align:right}.mw-parser-output .navbox,.mw-parser-output .navbox-subgroup{background-color:#fdfdfd}.mw-parser-output .navbox-list{line-height:1.5em;border-color:#fdfdfd}.mw-parser-output .navbox-list-with-group{text-align:left;border-left-width:2px;border-left-style:solid}.mw-parser-output tr+tr>.navbox-abovebelow,.mw-parser-output tr+tr>.navbox-group,.mw-parser-output tr+tr>.navbox-image,.mw-parser-output tr+tr>.navbox-list{border-top:2px solid #fdfdfd}.mw-parser-output .navbox-title{background-color:#ccf}.mw-parser-output .navbox-abovebelow,.mw-parser-output .navbox-group,.mw-parser-output .navbox-subgroup .navbox-title{background-color:#ddf}.mw-parser-output .navbox-subgroup .navbox-group,.mw-parser-output .navbox-subgroup .navbox-abovebelow{background-color:#e6e6ff}.mw-parser-output .navbox-even{background-color:#f7f7f7}.mw-parser-output .navbox-odd{background-color:transparent}.mw-parser-output .navbox .hlist td dl,.mw-parser-output .navbox .hlist td ol,.mw-parser-output .navbox .hlist td ul,.mw-parser-output .navbox td.hlist dl,.mw-parser-output .navbox td.hlist ol,.mw-parser-output .navbox td.hlist ul{padding:0.125em 0}.mw-parser-output .navbox .navbar{display:block;font-size:100%}.mw-parser-output .navbox-title .navbar{float:left;text-align:left;margin-right:0.5em}body.skin--responsive .mw-parser-output .navbox-image img{max-width:none!important}@media print{body.ns-0 .mw-parser-output .navbox{display:none!important}}</style></div><div role="navigation" class="navbox" aria-labelledby="Crystallography" style="padding:3px"><table class="nowraplinks hlist mw-collapsible autocollapse navbox-inner" style="border-spacing:0;background:transparent;color:inherit"><tbody><tr><th scope="col" class="navbox-title" colspan="3"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1129693374"><style data-mw-deduplicate="TemplateStyles:r1239400231">.mw-parser-output .navbar{display:inline;font-size:88%;font-weight:normal}.mw-parser-output .navbar-collapse{float:left;text-align:left}.mw-parser-output .navbar-boxtext{word-spacing:0}.mw-parser-output .navbar ul{display:inline-block;white-space:nowrap;line-height:inherit}.mw-parser-output .navbar-brackets::before{margin-right:-0.125em;content:"[ "}.mw-parser-output .navbar-brackets::after{margin-left:-0.125em;content:" ]"}.mw-parser-output .navbar li{word-spacing:-0.125em}.mw-parser-output .navbar a>span,.mw-parser-output .navbar a>abbr{text-decoration:inherit}.mw-parser-output .navbar-mini abbr{font-variant:small-caps;border-bottom:none;text-decoration:none;cursor:inherit}.mw-parser-output .navbar-ct-full{font-size:114%;margin:0 7em}.mw-parser-output .navbar-ct-mini{font-size:114%;margin:0 4em}html.skin-theme-clientpref-night .mw-parser-output .navbar li a abbr{color:var(--color-base)!important}@media(prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .navbar li a abbr{color:var(--color-base)!important}}@media print{.mw-parser-output .navbar{display:none!important}}</style><div class="navbar plainlinks hlist navbar-mini"><ul><li class="nv-view"><a href="/wiki/Template:Crystallography" title="Template:Crystallography"><abbr title="View this template">v</abbr></a></li><li class="nv-talk"><a href="/wiki/Template_talk:Crystallography" title="Template talk:Crystallography"><abbr title="Discuss this template">t</abbr></a></li><li class="nv-edit"><a href="/wiki/Special:EditPage/Template:Crystallography" title="Special:EditPage/Template:Crystallography"><abbr title="Edit this template">e</abbr></a></li></ul></div><div id="Crystallography" style="font-size:114%;margin:0 4em"><a class="mw-selflink selflink">Crystallography</a></div></th></tr><tr><th scope="row" class="navbox-group" style="width:1%;background:#e5e5ff;">Key concepts</th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Timeline_of_crystallography" title="Timeline of crystallography">Timeline of crystallography</a> <ul><li><a href="/wiki/Category:Crystallographers" title="Category:Crystallographers">Crystallographers</a></li></ul></li> <li><a href="/wiki/Metallurgy" title="Metallurgy">Metallurgy</a></li> <li><a href="/w/index.php?title=Biocrystallography&action=edit&redlink=1" class="new" title="Biocrystallography (page does not exist)">Biocrystallography</a></li></ul> </div><table class="nowraplinks navbox-subgroup" style="border-spacing:0"><tbody><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Crystal_structure" title="Crystal structure">Structure</a></th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Unit_cell" title="Unit cell">Unit cell</a> <ul><li><a href="/wiki/Bravais_lattice" title="Bravais lattice">Bravais lattice</a></li> <li><a href="/wiki/Miller_index" title="Miller index">Miller index</a></li> <li><a href="/wiki/Crystallographic_point_group" title="Crystallographic point group">Point group</a></li> <li><a href="/wiki/Reciprocal_lattice" title="Reciprocal lattice">Reciprocal lattice</a></li> <li><a href="/wiki/Crystallographic_restriction_theorem" title="Crystallographic restriction theorem">Restriction theorem</a></li></ul></li> <li><a href="/wiki/Periodic_table_(crystal_structure)" title="Periodic table (crystal structure)">Periodic table</a></li> <li><a href="/wiki/Crystal_structure_prediction" title="Crystal structure prediction">Structure prediction</a></li></ul> </div><table class="nowraplinks navbox-subgroup" style="border-spacing:0"><tbody><tr><th id="Systems" scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Crystal_system" title="Crystal system">Systems</a></th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Cubic_crystal_system" title="Cubic crystal system">Cubic</a></li> <li><a href="/wiki/Hexagonal_crystal_family" title="Hexagonal crystal family">Hexagonal</a></li> <li><a href="/wiki/Monoclinic_crystal_system" title="Monoclinic crystal system">Monoclinic</a></li> <li><a href="/wiki/Orthorhombic_crystal_system" title="Orthorhombic crystal system">Orthorhombic</a></li> <li><a href="/wiki/Tetragonal_crystal_system" title="Tetragonal crystal system">Tetragonal</a></li> <li><a href="/wiki/Triclinic_crystal_system" title="Triclinic crystal system">Triclinic</a></li></ul> </div></td></tr></tbody></table><div> <ul><li><a href="/wiki/Crystal_growth" title="Crystal growth">Growth</a> <ul><li><a href="/wiki/Crystallite" title="Crystallite">Crystallite</a></li> <li><a href="/wiki/Equiaxed_crystal" title="Equiaxed crystal">Equiaxed</a></li></ul></li> <li><a href="/wiki/Crystal_twinning" title="Crystal twinning">Twinning</a> <ul><li><a href="/wiki/Fiveling" title="Fiveling">Fiveling</a></li></ul></li> <li><a href="/wiki/Aperiodic_crystal" title="Aperiodic crystal">Aperiodic crystal</a> <ul><li><a href="/wiki/Quasicrystal" title="Quasicrystal">Quasicrystal</a></li></ul></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Phase_transition" title="Phase transition">Phase<br />transition</a></th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Phase_diagram" title="Phase diagram">Phase diagram</a> <ul><li><a href="/wiki/Eutectic_system" title="Eutectic system">Eutectic</a></li> <li><a href="/wiki/Miscibility_gap" title="Miscibility gap">Miscibility gap</a></li> <li><a href="/wiki/Crystal_polymorphism" title="Crystal polymorphism">Polymorphism</a></li> <li><a href="/wiki/Liquid_crystal" title="Liquid crystal">Liquid crystal</a></li></ul></li> <li><a href="/wiki/Phase_transformation_crystallography" title="Phase transformation crystallography">Phase transformation crystallography</a></li> <li><a href="/wiki/Precipitation_hardening" title="Precipitation hardening">Precipitation</a></li> <li><a href="/wiki/Segregation_(materials_science)" title="Segregation (materials science)">Segregation</a></li> <li><a href="/wiki/Spinodal_decomposition" title="Spinodal decomposition">Spinodal decomposition</a></li> <li><a href="/wiki/Supersaturation" title="Supersaturation">Supersaturation</a></li> <li><a href="/wiki/Guinier%E2%80%93Preston_zone" title="Guinier–Preston zone">GP-zone</a></li> <li><a href="/wiki/Ostwald_ripening" title="Ostwald ripening">Ostwald ripening</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Crystallographic_defect" title="Crystallographic defect">Defects</a></th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"></div><table class="nowraplinks navbox-subgroup" style="border-spacing:0"><tbody><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Grain_boundary" title="Grain boundary">Grain boundary</a></th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Disclination" title="Disclination">Disclination</a></li> <li><a href="/w/index.php?title=Coincidence_site_lattice&action=edit&redlink=1" class="new" title="Coincidence site lattice (page does not exist)">CSL</a></li> <li><a href="/wiki/Grain_growth" title="Grain growth">Growth</a></li> <li><a href="/wiki/Abnormal_grain_growth" title="Abnormal grain growth">Abnormal growth</a></li></ul> </div></td></tr></tbody></table><div> <ul><li><a href="/wiki/Perfect_crystal" title="Perfect crystal">Perfect crystal</a></li> <li><a href="/wiki/Stacking_fault" title="Stacking fault">Stacking fault</a></li> <li><a href="/wiki/Dislocation" title="Dislocation">Dislocation</a> <ul><li><a href="/wiki/Burgers_vector" title="Burgers vector">Burgers vector</a></li> <li><a href="/wiki/Partial_dislocation" title="Partial dislocation">Partial dislocation</a></li> <li><a href="/wiki/Kink_(materials_science)" title="Kink (materials science)">Kink</a></li> <li><a href="/wiki/Cross_slip" title="Cross slip">Cross slip</a></li> <li><a href="/wiki/Frank%E2%80%93Read_source" title="Frank–Read source">Frank–Read source</a></li> <li><a href="/wiki/Cottrell_atmosphere" title="Cottrell atmosphere">Cottrell atmosphere</a></li> <li><a href="/wiki/Peierls_stress" title="Peierls stress">Peierls stress</a></li> <li><a href="/wiki/Geometrically_necessary_dislocations" title="Geometrically necessary dislocations">GND</a></li> <li><a href="/wiki/Lomer%E2%80%93Cottrell_junction" title="Lomer–Cottrell junction">Lomer–Cottrell junction</a></li></ul></li> <li><a href="/wiki/Slip_(materials_science)" title="Slip (materials science)">Slip</a> <ul><li><a href="/wiki/Slip_bands_in_metals" title="Slip bands in metals">Slip bands</a></li></ul></li> <li><a href="/wiki/Interstitial_defect" title="Interstitial defect">Interstitials</a> <ul><li><a href="/wiki/Bjerrum_defect" title="Bjerrum defect">Bjerrum defect</a></li> <li><a href="/wiki/Frenkel_defect" title="Frenkel defect">Frenkel defect</a></li> <li><a href="/wiki/Wigner_effect" title="Wigner effect">Wigner effect</a></li></ul></li> <li><a href="/wiki/Vacancy_defect" title="Vacancy defect">Vacancy</a> <ul><li><a href="/wiki/Schottky_defect" title="Schottky defect">Schottky defect</a></li> <li><a href="/wiki/F-center" title="F-center">F-center</a></li></ul></li> <li><a href="/wiki/Stone%E2%80%93Wales_defect" title="Stone–Wales defect">Stone–Wales defect</a></li> <li><a href="/wiki/Crystallographic_defects_in_diamond" title="Crystallographic defects in diamond">Defects in diamond</a></li></ul></div></td></tr></tbody></table><div> <ul><li><a href="/wiki/Bragg%27s_law" title="Bragg's law">Bragg's law</a></li> <li><a href="/wiki/Bragg_plane" title="Bragg plane">Bragg plane</a></li> <li><a href="/wiki/Ewald%27s_sphere" title="Ewald's sphere">Ewald's sphere</a></li> <li><a href="/wiki/Friedel%27s_law" title="Friedel's law">Friedel's law</a></li> <li><a href="/wiki/Hermann%E2%80%93Mauguin_notation" title="Hermann–Mauguin notation">Hermann–Mauguin notation</a></li> <li><a href="/wiki/Structure_factor" title="Structure factor">Structure factor</a></li> <li><a href="/wiki/Thermal_ellipsoid" title="Thermal ellipsoid">Thermal ellipsoid</a></li></ul> </div></td><td class="noviewer navbox-image" rowspan="8" style="width:1px;padding:0 0 0 2px"><div><span typeof="mw:File"><a href="/wiki/File:Sites_interstitiels_cubique_a_faces_centrees.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/5/5c/Sites_interstitiels_cubique_a_faces_centrees.svg/50px-Sites_interstitiels_cubique_a_faces_centrees.svg.png" decoding="async" width="50" height="52" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/5/5c/Sites_interstitiels_cubique_a_faces_centrees.svg/75px-Sites_interstitiels_cubique_a_faces_centrees.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/5/5c/Sites_interstitiels_cubique_a_faces_centrees.svg/100px-Sites_interstitiels_cubique_a_faces_centrees.svg.png 2x" data-file-width="120" data-file-height="125" /></a></span><br /></div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%;background:#e5e5ff;"><a href="/w/index.php?title=Crystallographic_characterization&action=edit&redlink=1" class="new" title="Crystallographic characterization (page does not exist)">Characterisation</a></th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Electron_crystallography" title="Electron crystallography">Electron</a> <ul><li><a href="/wiki/Electron_diffraction" title="Electron diffraction">Diffraction</a></li> <li><a href="/wiki/Electron_scattering" title="Electron scattering">Scattering</a></li></ul></li> <li><a href="/wiki/Neutron_crystallography" class="mw-redirect" title="Neutron crystallography">Neutron</a> <ul><li><a href="/wiki/Neutron_diffraction" title="Neutron diffraction">Diffraction</a></li> <li><a href="/wiki/Neutron_scattering" title="Neutron scattering">Scattering</a></li></ul></li> <li><a href="/wiki/Nuclear_magnetic_resonance_crystallography" title="Nuclear magnetic resonance crystallography">Nuclear magnetic resonance</a></li> <li><a href="/wiki/X-ray_crystallography" title="X-ray crystallography">X-ray</a> <ul><li><a href="/wiki/X-ray_diffraction" title="X-ray diffraction">Diffraction</a></li> <li><a href="/wiki/X-ray_scattering" class="mw-redirect" title="X-ray scattering">Scattering</a></li></ul></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%;background:#e5e5ff;">Algorithms</th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Direct_methods_(crystallography)" title="Direct methods (crystallography)">Direct methods</a></li> <li><a href="/wiki/Isomorphous_replacement" title="Isomorphous replacement">Isomorphous replacement</a></li> <li><a href="/wiki/Molecular_replacement" title="Molecular replacement">Molecular replacement</a></li> <li><a href="/wiki/Molecular_dynamics" title="Molecular dynamics">Molecular dynamics</a></li> <li><a href="/wiki/Patterson_map" class="mw-redirect" title="Patterson map">Patterson map</a></li> <li><a href="/wiki/Phase_retrieval" title="Phase retrieval">Phase retrieval</a> <ul><li><a href="/wiki/Gerchberg%E2%80%93Saxton_algorithm" title="Gerchberg–Saxton algorithm">Gerchberg–Saxton</a></li></ul></li> <li><a href="/wiki/Single_particle_analysis" title="Single particle analysis">Single particle analysis</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%;background:#e5e5ff;"><a href="/wiki/Category:Crystallography_software" title="Category:Crystallography software">Software</a></th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Collaborative_Computational_Project_Number_4" title="Collaborative Computational Project Number 4">CCP4</a></li> <li><a href="/wiki/Coot_(software)" title="Coot (software)">Coot</a></li> <li><a href="/wiki/CrystalExplorer" title="CrystalExplorer">CrystalExplorer</a></li> <li><a href="/wiki/Disordered_Structure_Refinement" title="Disordered Structure Refinement">DSR</a></li> <li><a rel="nofollow" class="external text" href="http://jana.fzu.cz/">JANA2020</a></li> <li><a href="/wiki/MTEX" title="MTEX">MTEX</a></li> <li><a href="/wiki/OctaDist" title="OctaDist">OctaDist</a></li> <li><a href="/wiki/Olex2" title="Olex2">Olex2</a></li> <li><a href="/wiki/ShelXle" title="ShelXle">SHELX</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%;background:#e5e5ff;"><a href="/wiki/Crystallographic_database" title="Crystallographic database">Databases</a></th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Bilbao_Crystallographic_Server" title="Bilbao Crystallographic Server">Bilbao Crystallographic Server</a></li> <li><a href="/wiki/Cambridge_Structural_Database" title="Cambridge Structural Database">CCDC</a></li> <li><a href="/wiki/Crystallographic_Information_File" title="Crystallographic Information File">CIF</a></li> <li><a href="/wiki/Crystallography_Open_Database" title="Crystallography Open Database">COD</a></li> <li><a href="/wiki/Inorganic_Crystal_Structure_Database" title="Inorganic Crystal Structure Database">ICSD</a></li> <li><a href="/wiki/International_Centre_for_Diffraction_Data" title="International Centre for Diffraction Data">ICDD</a></li> <li><a href="/wiki/Protein_Data_Bank" title="Protein Data Bank">PDB</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%;background:#e5e5ff;"><a href="/wiki/Category:Crystallography_journals" title="Category:Crystallography journals">Journals</a></th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Crystal_Growth_%26_Design" title="Crystal Growth & Design">Crystal Growth & Design</a></li> <li><a href="/wiki/Crystallography_Reviews" title="Crystallography Reviews">Crystallography Reviews</a></li> <li><a href="/wiki/Journal_of_Chemical_Crystallography" title="Journal of Chemical Crystallography">Journal of Chemical Crystallography</a></li> <li><a href="/wiki/Journal_of_Crystal_Growth" title="Journal of Crystal Growth">Journal of Crystal Growth</a></li> <li><a href="/wiki/Kristallografija" title="Kristallografija">Kristallografija</a></li> <li><a href="/wiki/Zeitschrift_f%C3%BCr_Kristallographie_%E2%80%93_Crystalline_Materials" title="Zeitschrift für Kristallographie – Crystalline Materials">Zeitschrift für Kristallographie – Crystalline Materials</a></li> <li><a href="/wiki/Zeitschrift_f%C3%BCr_Kristallographie_%E2%80%93_New_Crystal_Structures" title="Zeitschrift für Kristallographie – New Crystal Structures">Zeitschrift für Kristallographie – New Crystal Structures</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%;background:#e5e5ff;"><a href="/wiki/Category:Crystallography_awards" title="Category:Crystallography awards">Awards</a></th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Carl_Hermann_Medal" title="Carl Hermann Medal">Carl Hermann Medal</a></li> <li><a href="/wiki/Ewald_Prize" title="Ewald Prize">Ewald Prize</a></li> <li><a href="/wiki/Gregori_Aminoff_Prize" title="Gregori Aminoff Prize">Gregori Aminoff Prize</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%;background:#e5e5ff;"><a href="/wiki/Category:Crystallography_organizations" title="Category:Crystallography organizations">Organisation</a></th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/International_Union_of_Crystallography" title="International Union of Crystallography">IUCr</a></li> <li><a href="/wiki/International_Organization_for_Biological_Crystallization" title="International Organization for Biological Crystallization">IOBCr</a></li> <li><a href="/wiki/Shubnikov_Institute_of_Crystallography_RAS" title="Shubnikov Institute of Crystallography RAS">RAS</a></li> <li><a href="/wiki/German_Mineralogical_Society" title="German Mineralogical Society">DMG</a></li></ul> </div><table class="nowraplinks navbox-subgroup" style="border-spacing:0"><tbody><tr><th id="Associations" scope="row" class="navbox-group" style="width:1%">Associations</th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/European_Crystallographic_Association" title="European Crystallographic Association">Europe</a> <ul><li><a href="/wiki/French_Crystallographic_Association" title="French Crystallographic Association">France</a></li> <li><a href="/wiki/German_Crystallographic_Society" title="German Crystallographic Society">Germany</a></li> <li><a href="/wiki/British_Crystallographic_Association" title="British Crystallographic Association">UK</a></li></ul></li> <li><a href="/wiki/American_Crystallographic_Association" title="American Crystallographic Association">US</a></li> <li><a href="/wiki/Crystallographic_Society_of_Japan" title="Crystallographic Society of Japan">Japan</a></li></ul> </div></td></tr></tbody></table><div> </div></td></tr><tr><td class="navbox-abovebelow hlist" colspan="3"><div> <ul><li><span class="noviewer" typeof="mw:File"><span title="Category"><img alt="" src="//upload.wikimedia.org/wikipedia/en/thumb/9/96/Symbol_category_class.svg/16px-Symbol_category_class.svg.png" decoding="async" width="16" height="16" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/en/thumb/9/96/Symbol_category_class.svg/23px-Symbol_category_class.svg.png 1.5x, //upload.wikimedia.org/wikipedia/en/thumb/9/96/Symbol_category_class.svg/31px-Symbol_category_class.svg.png 2x" data-file-width="180" data-file-height="185" /></span></span> <b><a href="/wiki/Category:Crystallography" title="Category:Crystallography">Category</a></b></li> <li><span class="noviewer" typeof="mw:File"><span title="Commons page"><img alt="" src="//upload.wikimedia.org/wikipedia/en/thumb/4/4a/Commons-logo.svg/12px-Commons-logo.svg.png" decoding="async" width="12" height="16" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/en/thumb/4/4a/Commons-logo.svg/18px-Commons-logo.svg.png 1.5x, //upload.wikimedia.org/wikipedia/en/thumb/4/4a/Commons-logo.svg/24px-Commons-logo.svg.png 2x" data-file-width="1024" data-file-height="1376" /></span></span> <b><a href="https://commons.wikimedia.org/wiki/Category:Crystallography" class="extiw" title="commons:Category:Crystallography">Commons</a></b></li></ul> </div></td></tr></tbody></table></div> <div class="navbox-styles"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1129693374"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1236075235"></div><div role="navigation" class="navbox" aria-labelledby="Branches_of_materials_science" style="padding:3px"><table class="nowraplinks hlist mw-collapsible autocollapse navbox-inner" style="border-spacing:0;background:transparent;color:inherit"><tbody><tr><th scope="col" class="navbox-title" colspan="2"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1129693374"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1239400231"><div class="navbar plainlinks hlist navbar-mini"><ul><li class="nv-view"><a href="/wiki/Template:Branches_of_materials_science" title="Template:Branches of materials science"><abbr title="View this template">v</abbr></a></li><li class="nv-talk"><a href="/wiki/Template_talk:Branches_of_materials_science" title="Template talk:Branches of materials science"><abbr title="Discuss this template">t</abbr></a></li><li class="nv-edit"><a href="/wiki/Special:EditPage/Template:Branches_of_materials_science" title="Special:EditPage/Template:Branches of materials science"><abbr title="Edit this template">e</abbr></a></li></ul></div><div id="Branches_of_materials_science" style="font-size:114%;margin:0 4em">Branches of <a href="/wiki/Materials_science" title="Materials science">materials science</a></div></th></tr><tr><th scope="row" class="navbox-group" style="width:1%">Main classes</th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Metallurgy" title="Metallurgy">Metallurgy</a></li> <li><a href="/wiki/Ceramic_engineering" title="Ceramic engineering">Ceramic engineering</a></li> <li><a href="/wiki/Polymer_science" title="Polymer science">Polymer science</a> and <a href="/wiki/Polymer_engineering" title="Polymer engineering">Polymer engineering</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Material independent</th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Characterization_(materials_science)" title="Characterization (materials science)">Characterization</a></li> <li><a href="/wiki/Computational_materials_science" title="Computational materials science">Computational</a></li> <li><a href="/wiki/Template:Fundamental_aspects_of_materials_science" title="Template:Fundamental aspects of materials science">Fundamental aspects</a></li> <li><a href="/wiki/Materials_informatics" title="Materials informatics">Informatics</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Domains</th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a class="mw-selflink selflink">Crystallography</a></li> <li><a href="/wiki/Surface_science" title="Surface science">Surface science</a></li> <li><a href="/wiki/Tribology" title="Tribology">Tribology</a></li> <li><a href="/wiki/Microelectronics" title="Microelectronics">Microelectronics</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Interdisciplinarity" title="Interdisciplinarity">Interdisciplinary</a></th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Chemistry" title="Chemistry">Chemistry</a> <ul><li><a href="/wiki/Solid-state_chemistry" title="Solid-state chemistry">Solid-state chemistry</a></li> <li><a href="/wiki/Polymer_chemistry" title="Polymer chemistry">Polymer chemistry</a></li></ul></li> <li><a href="/wiki/Mineralogy" title="Mineralogy">Mineralogy</a></li> <li><a href="/wiki/Mining_engineering" title="Mining engineering">Mining engineering</a></li> <li><a href="/wiki/Nuclear_engineering" title="Nuclear engineering">Nuclear engineering</a></li> <li><a href="/wiki/Physics" title="Physics">Physics</a> <ul><li><a href="/wiki/Condensed-matter_physics" class="mw-redirect" title="Condensed-matter physics">Condensed-matter physics</a></li> <li><a href="/wiki/Polymer_physics" title="Polymer physics">Polymer physics</a></li> <li><a href="/wiki/Soft_matter" title="Soft matter">Soft-matter physics</a></li> <li><a href="/wiki/Solid-state_physics" title="Solid-state physics">Solid-state physics</a></li></ul></li></ul> </div></td></tr><tr><td class="navbox-abovebelow" colspan="2"><div> <ul><li><span class="noviewer" typeof="mw:File"><span title="Category"><img alt="" src="//upload.wikimedia.org/wikipedia/en/thumb/9/96/Symbol_category_class.svg/16px-Symbol_category_class.svg.png" decoding="async" width="16" height="16" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/en/thumb/9/96/Symbol_category_class.svg/23px-Symbol_category_class.svg.png 1.5x, //upload.wikimedia.org/wikipedia/en/thumb/9/96/Symbol_category_class.svg/31px-Symbol_category_class.svg.png 2x" data-file-width="180" data-file-height="185" /></span></span> <b><a href="/wiki/Category:Materials_science" title="Category:Materials science">Category</a></b></li> <li><span class="noviewer" typeof="mw:File"><span title="Commons page"><img alt="" src="//upload.wikimedia.org/wikipedia/en/thumb/4/4a/Commons-logo.svg/12px-Commons-logo.svg.png" decoding="async" width="12" height="16" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/en/thumb/4/4a/Commons-logo.svg/18px-Commons-logo.svg.png 1.5x, //upload.wikimedia.org/wikipedia/en/thumb/4/4a/Commons-logo.svg/24px-Commons-logo.svg.png 2x" data-file-width="1024" data-file-height="1376" /></span></span> <b><a href="https://commons.wikimedia.org/wiki/Category:Materials_science" class="extiw" title="commons:Category:Materials science">Common</a></b></li> <li><a href="/wiki/Material" title="Material">Material</a></li></ul> </div></td></tr></tbody></table></div> <div class="navbox-styles"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1129693374"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1236075235"></div><div role="navigation" class="navbox" aria-labelledby="Geology" style="padding:3px"><table class="nowraplinks hlist mw-collapsible autocollapse navbox-inner" style="border-spacing:0;background:transparent;color:inherit"><tbody><tr><th scope="col" class="navbox-title" colspan="3"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1129693374"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1239400231"><div class="navbar plainlinks hlist navbar-mini"><ul><li class="nv-view"><a href="/wiki/Template:Geology" title="Template:Geology"><abbr title="View this template">v</abbr></a></li><li class="nv-talk"><a href="/wiki/Template_talk:Geology" title="Template talk:Geology"><abbr title="Discuss this template">t</abbr></a></li><li class="nv-edit"><a href="/wiki/Special:EditPage/Template:Geology" title="Special:EditPage/Template:Geology"><abbr title="Edit this template">e</abbr></a></li></ul></div><div id="Geology" style="font-size:114%;margin:0 4em"><a href="/wiki/Geology" title="Geology">Geology</a></div></th></tr><tr><th scope="row" class="navbox-group" style="width:1%">Overviews</th><td class="navbox-list-with-group navbox-list navbox-odd hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Outline_of_geology" title="Outline of geology">Outline of geology</a></li> <li><a href="/wiki/Glossary_of_geology" title="Glossary of geology">Glossary of geology</a></li> <li><a href="/wiki/History_of_geology" title="History of geology">History of geology</a></li> <li><a href="/wiki/Index_of_geology_articles" title="Index of geology articles">Index of geology articles</a></li></ul> </div></td><td class="noviewer navbox-image" rowspan="10" style="width:1px;padding:0 0 0 2px"><div><span typeof="mw:File"><a href="/wiki/File:WikiProject_Geology.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/e/e7/WikiProject_Geology.svg/50px-WikiProject_Geology.svg.png" decoding="async" width="50" height="50" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/e/e7/WikiProject_Geology.svg/75px-WikiProject_Geology.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/e/e7/WikiProject_Geology.svg/100px-WikiProject_Geology.svg.png 2x" data-file-width="327" data-file-height="328" /></a></span><br /></div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/History_of_geology" title="History of geology">History of geology</a></th><td class="navbox-list-with-group navbox-list navbox-even hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Geochronology" title="Geochronology">Geochronology</a></li> <li><a href="/wiki/Geological_history_of_Earth" title="Geological history of Earth">Geological history of Earth</a></li> <li><a href="/wiki/Timeline_of_geology" title="Timeline of geology">Timeline of geology</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Composition and structure</th><td class="navbox-list-with-group navbox-list navbox-odd hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Cosmochemistry" title="Cosmochemistry">Cosmochemistry</a></li> <li><a class="mw-selflink selflink">Crystallography</a></li> <li><a href="/wiki/Geochemistry" title="Geochemistry">Geochemistry</a></li> <li><a href="/wiki/Mineralogy" title="Mineralogy">Mineralogy</a></li> <li><a href="/wiki/Petrology" title="Petrology">Petrology</a></li> <li><a href="/wiki/Sedimentology" title="Sedimentology">Sedimentology</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Historical_geology" title="Historical geology">Historical geology</a></th><td class="navbox-list-with-group navbox-list navbox-even hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Stratigraphy" title="Stratigraphy">Stratigraphy</a></li> <li><a href="/wiki/Paleontology" title="Paleontology">Paleontology</a></li> <li><a href="/wiki/Paleoclimatology" title="Paleoclimatology">Paleoclimatology</a></li> <li><a href="/wiki/Palaeogeography" title="Palaeogeography">Palaeogeography</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Dynamic Earth</th><td class="navbox-list-with-group navbox-list navbox-odd hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Structural_geology" title="Structural geology">Structural geology</a></li> <li><a href="/wiki/Geodynamics" title="Geodynamics">Geodynamics</a></li> <li><a href="/wiki/Plate_tectonics" title="Plate tectonics">Plate tectonics</a></li> <li><a href="/wiki/Geomorphology" title="Geomorphology">Geomorphology</a></li> <li><a href="/wiki/Volcanology" title="Volcanology">Volcanology</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Water</th><td class="navbox-list-with-group navbox-list navbox-even hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Glaciology" title="Glaciology">Glaciology</a></li> <li><a href="/wiki/Hydrogeology" title="Hydrogeology">Hydrogeology</a></li> <li><a href="/wiki/Marine_geology" title="Marine geology">Marine geology</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Geodesy" title="Geodesy">Geodesy</a></th><td class="navbox-list-with-group navbox-list navbox-odd hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Cartography" title="Cartography">Cartography</a></li> <li><a href="/wiki/Earth%27s_orbit" title="Earth's orbit">Earth's orbit</a></li> <li><a href="/wiki/Geodetic_astronomy" title="Geodetic astronomy">Geodetic astronomy</a></li> <li><a href="/wiki/Geomatics" title="Geomatics">Geomatics</a></li> <li><a href="/wiki/Gravity_of_Earth" title="Gravity of Earth">Gravity of Earth</a></li> <li><a href="/wiki/Planetary_science#Planetary_geodesy" title="Planetary science">Planetary geodesy</a></li> <li><a href="/wiki/Remote_sensing" title="Remote sensing">Remote sensing</a></li> <li><a href="/wiki/Geopositioning" title="Geopositioning">Geopositioning</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Geophysics" title="Geophysics">Geophysics</a></th><td class="navbox-list-with-group navbox-list navbox-even hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Geomagnetism" class="mw-redirect" title="Geomagnetism">Geomagnetism</a></li> <li><a href="/wiki/Geophysical_survey" title="Geophysical survey">Geophysical survey</a></li> <li><a href="/wiki/Planetary_science#Planetary_Geophysics_and_Space_Physics" title="Planetary science">Planetary geophysics</a></li> <li><a href="/wiki/Seismology" title="Seismology">Seismology</a></li> <li><a href="/wiki/Tectonophysics" title="Tectonophysics">Tectonophysics</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Applications</th><td class="navbox-list-with-group navbox-list navbox-odd hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Biogeology" title="Biogeology">Biogeology</a></li> <li><a href="/wiki/Economic_geology" title="Economic geology">Economic geology</a></li> <li><a href="/wiki/Engineering_geology" title="Engineering geology">Engineering geology</a></li> <li><a href="/wiki/Environmental_geology" title="Environmental geology">Environmental geology</a></li> <li><a href="/wiki/Planetary_geology" title="Planetary geology">Planetary geology</a></li> <li><a href="/wiki/Geobiology" title="Geobiology">Geobiology</a></li> <li><a href="/wiki/Geologic_modelling" title="Geologic modelling">Geologic modelling</a></li> <li><a href="/wiki/Forensic_geology" title="Forensic geology">Forensic geology</a></li> <li><a href="/wiki/Forensic_geophysics" title="Forensic geophysics">Forensic geophysics</a></li> <li><a href="/wiki/Meteoritics" title="Meteoritics">Meteoritics</a></li> <li><a href="/wiki/Mining_geology" title="Mining geology">Mining geology</a></li> <li><a href="/wiki/Mineral_physics" title="Mineral physics">Mineral physics</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Occupations</th><td class="navbox-list-with-group navbox-list navbox-even hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Geologist" title="Geologist">Geologist</a></li> <li><a href="/wiki/Petroleum_geologist" title="Petroleum geologist">Petroleum geologist</a></li> <li><a href="/wiki/Volcanologist" title="Volcanologist">Volcanologist</a></li></ul> </div></td></tr><tr><td class="navbox-abovebelow hlist" colspan="3"><div> <ul><li><b><span class="nowrap"><span class="noviewer" typeof="mw:File"><a href="/wiki/File:WikiProject_Geology.svg" class="mw-file-description"><img alt="icon" src="//upload.wikimedia.org/wikipedia/commons/thumb/e/e7/WikiProject_Geology.svg/16px-WikiProject_Geology.svg.png" decoding="async" width="16" height="16" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/e/e7/WikiProject_Geology.svg/24px-WikiProject_Geology.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/e/e7/WikiProject_Geology.svg/32px-WikiProject_Geology.svg.png 2x" data-file-width="327" data-file-height="328" /></a></span> </span><a href="/wiki/Portal:Geology" title="Portal:Geology">Geology portal</a></b></li> <li><span class="noviewer" typeof="mw:File"><span title="Category"><img alt="" src="//upload.wikimedia.org/wikipedia/en/thumb/9/96/Symbol_category_class.svg/16px-Symbol_category_class.svg.png" decoding="async" width="16" height="16" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/en/thumb/9/96/Symbol_category_class.svg/23px-Symbol_category_class.svg.png 1.5x, //upload.wikimedia.org/wikipedia/en/thumb/9/96/Symbol_category_class.svg/31px-Symbol_category_class.svg.png 2x" data-file-width="180" data-file-height="185" /></span></span> <b><a href="/wiki/Category:Geology" title="Category:Geology">Geology</a></b></li> <li><span class="noviewer" typeof="mw:File"><span title="WikiProject"><img alt="" src="//upload.wikimedia.org/wikipedia/commons/thumb/3/37/People_icon.svg/16px-People_icon.svg.png" decoding="async" width="16" height="16" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/3/37/People_icon.svg/24px-People_icon.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/3/37/People_icon.svg/32px-People_icon.svg.png 2x" data-file-width="100" data-file-height="100" /></span></span> <b><a href="/wiki/Wikipedia:Geology" class="mw-redirect" title="Wikipedia:Geology">Geology</a></b></li></ul> </div></td></tr></tbody></table></div> <div class="navbox-styles"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1129693374"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1236075235"></div><div role="navigation" class="navbox" aria-labelledby="Branches_of_chemistry" style="padding:3px"><table class="nowraplinks hlist mw-collapsible autocollapse navbox-inner" style="border-spacing:0;background:transparent;color:inherit"><tbody><tr><th scope="col" class="navbox-title" colspan="2"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1129693374"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1239400231"><div class="navbar plainlinks hlist navbar-mini"><ul><li class="nv-view"><a href="/wiki/Template:Branches_of_chemistry" title="Template:Branches of chemistry"><abbr title="View this template">v</abbr></a></li><li class="nv-talk"><a href="/wiki/Template_talk:Branches_of_chemistry" title="Template talk:Branches of chemistry"><abbr title="Discuss this template">t</abbr></a></li><li class="nv-edit"><a href="/wiki/Special:EditPage/Template:Branches_of_chemistry" title="Special:EditPage/Template:Branches of chemistry"><abbr title="Edit this template">e</abbr></a></li></ul></div><div id="Branches_of_chemistry" style="font-size:114%;margin:0 4em">Branches of <a href="/wiki/Chemistry" title="Chemistry">chemistry</a></div></th></tr><tr><td class="navbox-abovebelow" colspan="2"><div> <ul><li><a href="/wiki/Glossary_of_chemical_formulae" title="Glossary of chemical formulae">Glossary of chemical formulae</a></li> <li><a href="/wiki/List_of_biomolecules" title="List of biomolecules">List of biomolecules</a></li> <li><a href="/wiki/List_of_inorganic_compounds" title="List of inorganic compounds">List of inorganic compounds</a></li> <li><a href="/wiki/Periodic_table" title="Periodic table">Periodic table</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Analytical_chemistry" title="Analytical chemistry">Analytical</a></th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Instrumental_chemistry" title="Instrumental chemistry">Instrumental chemistry</a></li> <li><a href="/wiki/Electroanalytical_methods" title="Electroanalytical methods">Electroanalytical methods</a></li> <li><a href="/wiki/Spectroscopy" title="Spectroscopy">Spectroscopy</a> <ul><li><a href="/wiki/Infrared_spectroscopy" title="Infrared spectroscopy">IR</a></li> <li><a href="/wiki/Raman_spectroscopy" title="Raman spectroscopy">Raman</a></li> <li><a href="/wiki/Ultraviolet%E2%80%93visible_spectroscopy" title="Ultraviolet–visible spectroscopy">UV-Vis</a></li> <li><a href="/wiki/Nuclear_magnetic_resonance_spectroscopy" title="Nuclear magnetic resonance spectroscopy">NMR</a></li></ul></li> <li><a href="/wiki/Mass_spectrometry" title="Mass spectrometry">Mass spectrometry</a> <ul><li><a href="/wiki/Electron_ionization" title="Electron ionization">EI</a></li> <li><a href="/wiki/Inductively_coupled_plasma_mass_spectrometry" title="Inductively coupled plasma mass spectrometry">ICP</a></li> <li><a href="/wiki/Matrix-assisted_laser_desorption/ionization" title="Matrix-assisted laser desorption/ionization">MALDI</a></li></ul></li> <li><a href="/wiki/Separation_process" title="Separation process">Separation process</a></li> <li><a href="/wiki/Chromatography" title="Chromatography">Chromatography</a> <ul><li><a href="/wiki/Gas_chromatography" title="Gas chromatography">GC</a></li> <li><a href="/wiki/High-performance_liquid_chromatography" title="High-performance liquid chromatography">HPLC</a></li></ul></li> <li><a class="mw-selflink selflink">Crystallography</a></li> <li><a href="/wiki/Characterization_(materials_science)" title="Characterization (materials science)">Characterization</a></li> <li><a href="/wiki/Titration" title="Titration">Titration</a></li> <li><a href="/wiki/Wet_chemistry" title="Wet chemistry">Wet chemistry</a></li> <li><a href="/wiki/Calorimetry" title="Calorimetry">Calorimetry</a></li> <li><a href="/wiki/Elemental_analysis" title="Elemental analysis">Elemental analysis</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Theoretical_chemistry" title="Theoretical chemistry">Theoretical</a></th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Quantum_chemistry" title="Quantum chemistry">Quantum chemistry</a></li> <li><a href="/wiki/Computational_chemistry" title="Computational chemistry">Computational chemistry</a> <ul><li><a href="/wiki/Mathematical_chemistry" title="Mathematical chemistry">Mathematical chemistry</a></li></ul></li> <li><a href="/wiki/Molecular_modelling" title="Molecular modelling">Molecular modelling</a></li> <li><a href="/wiki/Molecular_mechanics" title="Molecular mechanics">Molecular mechanics</a></li> <li><a href="/wiki/Molecular_dynamics" title="Molecular dynamics">Molecular dynamics</a></li> <li><a href="/wiki/Molecular_geometry" title="Molecular geometry">Molecular geometry</a> <ul><li><a href="/wiki/VSEPR_theory" title="VSEPR theory">VSEPR theory</a></li></ul></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Physical_chemistry" title="Physical chemistry">Physical</a></th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Electrochemistry" title="Electrochemistry">Electrochemistry</a> <ul><li><a href="/wiki/Spectroelectrochemistry" title="Spectroelectrochemistry">Spectroelectrochemistry</a></li> <li><a href="/wiki/Photoelectrochemistry" title="Photoelectrochemistry">Photoelectrochemistry</a></li></ul></li> <li><a href="/wiki/Thermochemistry" title="Thermochemistry">Thermochemistry</a></li> <li><a href="/wiki/Chemical_thermodynamics" title="Chemical thermodynamics">Chemical thermodynamics</a></li> <li><a href="/wiki/Surface_science" title="Surface science">Surface science</a></li> <li><a href="/wiki/Interface_and_colloid_science" title="Interface and colloid science">Interface and colloid science</a> <ul><li><a href="/wiki/Micromeritics" title="Micromeritics">Micromeritics</a></li></ul></li> <li><a href="/wiki/Cryochemistry" title="Cryochemistry">Cryochemistry</a></li> <li><a href="/wiki/Sonochemistry" title="Sonochemistry">Sonochemistry</a></li> <li><a href="/wiki/Structural_chemistry" title="Structural chemistry">Structural chemistry</a></li> <li><a href="/wiki/Chemical_physics" title="Chemical physics">Chemical physics</a> <ul><li><a href="/wiki/Molecular_physics" title="Molecular physics">Molecular physics</a></li></ul></li> <li><a href="/wiki/Femtochemistry" title="Femtochemistry">Femtochemistry</a></li> <li><a href="/wiki/Chemical_kinetics" title="Chemical kinetics">Chemical kinetics</a></li> <li><a href="/wiki/Spectroscopy" title="Spectroscopy">Spectroscopy</a></li> <li><a href="/wiki/Photochemistry" title="Photochemistry">Photochemistry</a></li> <li><a href="/wiki/Spin_chemistry" title="Spin chemistry">Spin chemistry</a></li> <li><a href="/wiki/Microwave_chemistry" title="Microwave chemistry">Microwave chemistry</a></li> <li><a href="/wiki/Equilibrium_chemistry" title="Equilibrium chemistry">Equilibrium chemistry</a></li> <li><a href="/wiki/Mechanochemistry" title="Mechanochemistry">Mechanochemistry</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Inorganic_chemistry" title="Inorganic chemistry">Inorganic</a></th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Coordination_complex" title="Coordination complex">Coordination chemistry</a></li> <li><a href="/wiki/Magnetochemistry" title="Magnetochemistry">Magnetochemistry</a></li> <li><a href="/wiki/Organometallic_chemistry" title="Organometallic chemistry">Organometallic chemistry</a> <ul><li><a href="/wiki/Organolanthanide_chemistry" title="Organolanthanide chemistry">Organolanthanide chemistry</a></li></ul></li> <li><a href="/wiki/Atom_cluster" class="mw-redirect" title="Atom cluster">Cluster chemistry</a></li> <li><a href="/wiki/Solid-state_chemistry" title="Solid-state chemistry">Solid-state chemistry</a></li> <li><a href="/wiki/Ceramic_chemistry" class="mw-redirect" title="Ceramic chemistry">Ceramic chemistry</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Organic_chemistry" title="Organic chemistry">Organic</a></th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Stereochemistry" title="Stereochemistry">Stereochemistry</a> <ul><li><a href="/wiki/Alkane_stereochemistry" class="mw-redirect" title="Alkane stereochemistry">Alkane stereochemistry</a></li></ul></li> <li><a href="/wiki/Physical_organic_chemistry" title="Physical organic chemistry">Physical organic chemistry</a></li> <li><a href="/wiki/Organic_reactions" class="mw-redirect" title="Organic reactions">Organic reactions</a></li> <li><a href="/wiki/Organic_synthesis" title="Organic synthesis">Organic synthesis</a></li> <li><a href="/wiki/Retrosynthetic_analysis" title="Retrosynthetic analysis">Retrosynthetic analysis</a></li> <li><a href="/wiki/Enantioselective_synthesis" title="Enantioselective synthesis">Enantioselective synthesis</a></li> <li><a href="/wiki/Total_synthesis" title="Total synthesis">Total synthesis</a> / <a href="/wiki/Semisynthesis" title="Semisynthesis">Semisynthesis</a></li> <li><a href="/wiki/Fullerene_chemistry" title="Fullerene chemistry">Fullerene chemistry</a></li> <li><a href="/wiki/Polymer_chemistry" title="Polymer chemistry">Polymer chemistry</a></li> <li><a href="/wiki/Petrochemistry" class="mw-redirect" title="Petrochemistry">Petrochemistry</a></li> <li><a href="/wiki/Dynamic_covalent_chemistry" title="Dynamic covalent chemistry">Dynamic covalent chemistry</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Biochemistry" title="Biochemistry">Biological</a></th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Biochemistry" title="Biochemistry">Biochemistry</a> <ul><li><a href="/wiki/Molecular_biology" title="Molecular biology">Molecular biology</a></li> <li><a href="/wiki/Cell_biology" title="Cell biology">Cell biology</a></li></ul></li> <li><a href="/wiki/Chemical_biology" title="Chemical biology">Chemical biology</a> <ul><li><a href="/wiki/Bioorthogonal_chemistry" title="Bioorthogonal chemistry">Bioorthogonal chemistry</a></li></ul></li> <li><a href="/wiki/Medicinal_chemistry" title="Medicinal chemistry">Medicinal chemistry</a> <ul><li><a href="/wiki/Pharmacology" title="Pharmacology">Pharmacology</a></li></ul></li> <li><a href="/wiki/Clinical_chemistry" title="Clinical chemistry">Clinical chemistry</a></li> <li><a href="/wiki/Neurochemistry" title="Neurochemistry">Neurochemistry</a></li> <li><a href="/wiki/Bioorganic_chemistry" title="Bioorganic chemistry">Bioorganic chemistry</a></li> <li><a href="/wiki/Bioorganometallic_chemistry" title="Bioorganometallic chemistry">Bioorganometallic chemistry</a></li> <li><a href="/wiki/Bioinorganic_chemistry" title="Bioinorganic chemistry">Bioinorganic chemistry</a></li> <li><a href="/wiki/Biophysical_chemistry" title="Biophysical chemistry">Biophysical chemistry</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Interdisciplinarity" title="Interdisciplinarity">Interdisciplinarity</a></th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Nuclear_chemistry" title="Nuclear chemistry">Nuclear chemistry</a> <ul><li><a href="/wiki/Radiochemistry" title="Radiochemistry">Radiochemistry</a></li> <li><a href="/wiki/Radiation_chemistry" title="Radiation chemistry">Radiation chemistry</a></li> <li><a href="/wiki/Actinide_chemistry" title="Actinide chemistry">Actinide chemistry</a></li></ul></li> <li><a href="/wiki/Cosmochemistry" title="Cosmochemistry">Cosmochemistry</a> / <a href="/wiki/Astrochemistry" title="Astrochemistry">Astrochemistry</a> / <a href="/wiki/Stellar_chemistry" title="Stellar chemistry">Stellar chemistry</a></li> <li><a href="/wiki/Geochemistry" title="Geochemistry">Geochemistry</a> <ul><li><a href="/wiki/Biogeochemistry" title="Biogeochemistry">Biogeochemistry</a></li> <li><a href="/wiki/Photogeochemistry" title="Photogeochemistry">Photogeochemistry</a></li></ul></li></ul> <ul><li><a href="/wiki/Environmental_chemistry" title="Environmental chemistry">Environmental chemistry</a> <ul><li><a href="/wiki/Atmospheric_chemistry" title="Atmospheric chemistry">Atmospheric chemistry</a></li> <li><a href="/wiki/Ocean_chemistry" class="mw-redirect" title="Ocean chemistry">Ocean chemistry</a></li></ul></li> <li><a href="/wiki/Clay_chemistry" title="Clay chemistry">Clay chemistry</a></li> <li><a href="/wiki/Carbochemistry" title="Carbochemistry">Carbochemistry</a></li> <li><a href="/wiki/Food_chemistry" title="Food chemistry">Food chemistry</a> <ul><li><a href="/wiki/Carbohydrate_chemistry" class="mw-redirect" title="Carbohydrate chemistry">Carbohydrate chemistry</a></li> <li><a href="/wiki/Food_physical_chemistry" title="Food physical chemistry">Food physical chemistry</a></li></ul></li> <li><a href="/wiki/Agricultural_chemistry" title="Agricultural chemistry">Agricultural chemistry</a> <ul><li><a href="/wiki/Soil_chemistry" title="Soil chemistry">Soil chemistry</a></li></ul></li></ul> <ul><li><a href="/wiki/Chemistry_education" title="Chemistry education">Chemistry education</a> <ul><li><a href="/wiki/Amateur_chemistry" title="Amateur chemistry">Amateur chemistry</a></li> <li><a href="/wiki/General_chemistry" title="General chemistry">General chemistry</a></li></ul></li> <li><a href="/wiki/Clandestine_chemistry" title="Clandestine chemistry">Clandestine chemistry</a></li> <li><a href="/wiki/Forensic_chemistry" title="Forensic chemistry">Forensic chemistry</a> <ul><li><a href="/wiki/Forensic_toxicology" title="Forensic toxicology">Forensic toxicology</a></li> <li><a href="/wiki/Post-mortem_chemistry" title="Post-mortem chemistry">Post-mortem chemistry</a></li></ul></li></ul> <ul><li><a href="/wiki/Nanochemistry" title="Nanochemistry">Nanochemistry</a> <ul><li><a href="/wiki/Supramolecular_chemistry" title="Supramolecular chemistry">Supramolecular chemistry</a></li></ul></li> <li><a href="/wiki/Chemical_synthesis" title="Chemical synthesis">Chemical synthesis</a> <ul><li><a href="/wiki/Green_chemistry" title="Green chemistry">Green chemistry</a></li> <li><a href="/wiki/Click_chemistry" title="Click chemistry">Click chemistry</a></li> <li><a href="/wiki/Combinatorial_chemistry" title="Combinatorial chemistry">Combinatorial chemistry</a></li> <li><a href="/wiki/Biosynthesis" title="Biosynthesis">Biosynthesis</a></li></ul></li> <li><a href="/wiki/Chemical_engineering" title="Chemical engineering">Chemical engineering</a> <ul><li><a href="/wiki/Stoichiometry" title="Stoichiometry">Stoichiometry</a></li></ul></li> <li><a href="/wiki/Materials_science" title="Materials science">Materials science</a> <ul><li><a href="/wiki/Metallurgy" title="Metallurgy">Metallurgy</a></li> <li><a href="/wiki/Ceramic_engineering" title="Ceramic engineering">Ceramic engineering</a></li> <li><a href="/wiki/Polymer_science" title="Polymer science">Polymer science</a></li></ul></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">See also</th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/History_of_chemistry" title="History of chemistry">History of chemistry</a></li> <li><a href="/wiki/Nobel_Prize_in_Chemistry" title="Nobel Prize in Chemistry">Nobel Prize in Chemistry</a></li> <li><a href="/wiki/Timeline_of_chemistry" title="Timeline of chemistry">Timeline of chemistry</a> <ul><li><a href="/wiki/Discovery_of_chemical_elements" title="Discovery of chemical elements">of element discoveries</a></li></ul></li> <li>"<a href="/wiki/The_central_science" title="The central science">The central science</a>"</li> <li><a href="/wiki/Chemical_reaction" title="Chemical reaction">Chemical reaction</a> <ul><li><a href="/wiki/Catalysis" title="Catalysis">Catalysis</a></li></ul></li> <li><a href="/wiki/Chemical_element" title="Chemical element">Chemical element</a></li> <li><a href="/wiki/Chemical_compound" title="Chemical compound">Chemical compound</a></li> <li><a href="/wiki/Atom" title="Atom">Atom</a></li> <li><a href="/wiki/Molecule" title="Molecule">Molecule</a></li> <li><a href="/wiki/Ion" title="Ion">Ion</a></li> <li><a href="/wiki/Chemical_substance" title="Chemical substance">Chemical substance</a></li> <li><a href="/wiki/Chemical_bond" title="Chemical bond">Chemical bond</a></li> <li><a href="/wiki/Alchemy" title="Alchemy">Alchemy</a></li> <li><a href="/wiki/Quantum_mechanics" title="Quantum mechanics">Quantum mechanics</a></li></ul> </div></td></tr><tr><td class="navbox-abovebelow" colspan="2"><div> <ul><li><span class="noviewer" typeof="mw:File"><span title="Category"><img alt="" src="//upload.wikimedia.org/wikipedia/en/thumb/9/96/Symbol_category_class.svg/16px-Symbol_category_class.svg.png" decoding="async" width="16" height="16" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/en/thumb/9/96/Symbol_category_class.svg/23px-Symbol_category_class.svg.png 1.5x, //upload.wikimedia.org/wikipedia/en/thumb/9/96/Symbol_category_class.svg/31px-Symbol_category_class.svg.png 2x" data-file-width="180" data-file-height="185" /></span></span> <b><a href="/wiki/Category:Chemistry" title="Category:Chemistry">Category</a></b></li> <li><span class="noviewer" typeof="mw:File"><span title="Commons page"><img alt="" src="//upload.wikimedia.org/wikipedia/en/thumb/4/4a/Commons-logo.svg/12px-Commons-logo.svg.png" decoding="async" width="12" height="16" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/en/thumb/4/4a/Commons-logo.svg/18px-Commons-logo.svg.png 1.5x, //upload.wikimedia.org/wikipedia/en/thumb/4/4a/Commons-logo.svg/24px-Commons-logo.svg.png 2x" data-file-width="1024" data-file-height="1376" /></span></span> <b><a href="https://commons.wikimedia.org/wiki/Category:Chemistry" class="extiw" title="commons:Category:Chemistry">Commons</a></b></li> <li><span class="noviewer" typeof="mw:File"><a href="/wiki/File:Symbol_portal_class.svg" class="mw-file-description" title="Portal"><img alt="" src="//upload.wikimedia.org/wikipedia/en/thumb/e/e2/Symbol_portal_class.svg/16px-Symbol_portal_class.svg.png" decoding="async" width="16" height="16" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/en/thumb/e/e2/Symbol_portal_class.svg/23px-Symbol_portal_class.svg.png 1.5x, //upload.wikimedia.org/wikipedia/en/thumb/e/e2/Symbol_portal_class.svg/31px-Symbol_portal_class.svg.png 2x" data-file-width="180" data-file-height="185" /></a></span> <b><a href="/wiki/Portal:Chemistry" title="Portal:Chemistry">Portal</a></b></li> <li><span class="noviewer" typeof="mw:File"><span title="WikiProject"><img alt="" src="//upload.wikimedia.org/wikipedia/commons/thumb/3/37/People_icon.svg/16px-People_icon.svg.png" decoding="async" width="16" height="16" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/3/37/People_icon.svg/24px-People_icon.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/3/37/People_icon.svg/32px-People_icon.svg.png 2x" data-file-width="100" data-file-height="100" /></span></span> <b><a href="/wiki/Wikipedia:WikiProject_Chemistry" title="Wikipedia:WikiProject Chemistry">WikiProject</a></b></li></ul> </div></td></tr></tbody></table></div> <div class="navbox-styles"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1129693374"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1236075235"><style data-mw-deduplicate="TemplateStyles:r1038841319">.mw-parser-output .tooltip-dotted{border-bottom:1px dotted;cursor:help}</style><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1038841319"></div><div role="navigation" class="navbox authority-control" aria-labelledby="Authority_control_databases_frameless&#124;text-top&#124;10px&#124;alt=Edit_this_at_Wikidata&#124;link=https&#58;//www.wikidata.org/wiki/Q160398#identifiers&#124;class=noprint&#124;Edit_this_at_Wikidata" style="padding:3px"><table class="nowraplinks hlist mw-collapsible autocollapse navbox-inner" style="border-spacing:0;background:transparent;color:inherit"><tbody><tr><th scope="col" class="navbox-title" colspan="2"><div id="Authority_control_databases_frameless&#124;text-top&#124;10px&#124;alt=Edit_this_at_Wikidata&#124;link=https&#58;//www.wikidata.org/wiki/Q160398#identifiers&#124;class=noprint&#124;Edit_this_at_Wikidata" style="font-size:114%;margin:0 4em"><a href="/wiki/Help:Authority_control" title="Help:Authority control">Authority control databases</a> <span class="mw-valign-text-top noprint" typeof="mw:File/Frameless"><a href="https://www.wikidata.org/wiki/Q160398#identifiers" title="Edit this at Wikidata"><img alt="Edit this at Wikidata" src="//upload.wikimedia.org/wikipedia/en/thumb/8/8a/OOjs_UI_icon_edit-ltr-progressive.svg/10px-OOjs_UI_icon_edit-ltr-progressive.svg.png" decoding="async" width="10" height="10" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/en/thumb/8/8a/OOjs_UI_icon_edit-ltr-progressive.svg/15px-OOjs_UI_icon_edit-ltr-progressive.svg.png 1.5x, //upload.wikimedia.org/wikipedia/en/thumb/8/8a/OOjs_UI_icon_edit-ltr-progressive.svg/20px-OOjs_UI_icon_edit-ltr-progressive.svg.png 2x" data-file-width="20" data-file-height="20" /></a></span></div></th></tr><tr><th scope="row" class="navbox-group" style="width:1%">International</th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"><ul><li><span class="uid"><a rel="nofollow" class="external text" href="http://id.worldcat.org/fast/884652/">FAST</a></span></li></ul></div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">National</th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"><ul><li><span class="uid"><span class="rt-commentedText tooltip tooltip-dotted" title="Kristallographie"><a rel="nofollow" class="external text" href="https://d-nb.info/gnd/4033217-2">Germany</a></span></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://id.loc.gov/authorities/sh85034498">United States</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://catalogue.bnf.fr/ark:/12148/cb11958726f">France</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://data.bnf.fr/ark:/12148/cb11958726f">BnF data</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://id.ndl.go.jp/auth/ndlna/00565652">Japan</a></span></li><li><span class="uid"><span class="rt-commentedText tooltip tooltip-dotted" title="krystalografie"><a rel="nofollow" class="external text" href="https://aleph.nkp.cz/F/?func=find-c&local_base=aut&ccl_term=ica=ph117214&CON_LNG=ENG">Czech Republic</a></span></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="http://catalogo.bne.es/uhtbin/authoritybrowse.cgi?action=display&authority_id=XX525386">Spain</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="http://olduli.nli.org.il/F/?func=find-b&local_base=NLX10&find_code=UID&request=987007536082805171">Israel</a></span></li></ul></div></td></tr></tbody></table></div>    </div><noscript><img src="https://login.wikimedia.org/wiki/Special:CentralAutoLogin/start?type=1x1" alt="" width="1" height="1" style="border: none; position: absolute;"></noscript> <div class="printfooter" data-nosnippet="">Retrieved from "<a dir="ltr" href="https://en.wikipedia.org/w/index.php?title=Crystallography&oldid=1244336610">https://en.wikipedia.org/w/index.php?title=Crystallography&oldid=1244336610</a>"</div></div> <div id="catlinks" class="catlinks" data-mw="interface"><div id="mw-normal-catlinks" class="mw-normal-catlinks"><a href="/wiki/Help:Category" title="Help:Category">Categories</a>: <ul><li><a href="/wiki/Category:Crystallography" title="Category:Crystallography">Crystallography</a></li><li><a href="/wiki/Category:Chemistry" title="Category:Chemistry">Chemistry</a></li><li><a href="/wiki/Category:Condensed_matter_physics" title="Category:Condensed matter physics">Condensed matter physics</a></li><li><a href="/wiki/Category:Instrumental_analysis" title="Category:Instrumental analysis">Instrumental analysis</a></li><li><a href="/wiki/Category:Materials_science" title="Category:Materials science">Materials science</a></li><li><a href="/wiki/Category:Neutron-related_techniques" title="Category:Neutron-related techniques">Neutron-related techniques</a></li><li><a href="/wiki/Category:Synchrotron-related_techniques" title="Category:Synchrotron-related techniques">Synchrotron-related techniques</a></li></ul></div><div id="mw-hidden-catlinks" class="mw-hidden-catlinks mw-hidden-cats-hidden">Hidden categories: <ul><li><a href="/wiki/Category:Articles_with_short_description" title="Category:Articles with short description">Articles with short description</a></li><li><a href="/wiki/Category:Short_description_is_different_from_Wikidata" title="Category:Short description is different from Wikidata">Short description is different from Wikidata</a></li><li><a href="/wiki/Category:Articles_needing_additional_references_from_July_2024" title="Category:Articles needing additional references from July 2024">Articles needing additional references from July 2024</a></li><li><a href="/wiki/Category:All_articles_needing_additional_references" title="Category:All articles needing additional references">All articles needing additional references</a></li></ul></div></div> </div> </main> </div> <div class="mw-footer-container"> <footer id="footer" class="mw-footer" > <ul id="footer-info"> <li id="footer-info-lastmod"> This page was last edited on 6 September 2024, at 13:41<span class="anonymous-show"> (UTC)</span>.</li> <li id="footer-info-copyright">Text is available under the <a href="/wiki/Wikipedia:Text_of_the_Creative_Commons_Attribution-ShareAlike_4.0_International_License" title="Wikipedia:Text of the Creative Commons Attribution-ShareAlike 4.0 International License">Creative Commons Attribution-ShareAlike 4.0 License</a>; additional terms may apply. By using this site, you agree to the <a href="https://foundation.wikimedia.org/wiki/Special:MyLanguage/Policy:Terms_of_Use" class="extiw" title="foundation:Special:MyLanguage/Policy:Terms of Use">Terms of Use</a> and <a href="https://foundation.wikimedia.org/wiki/Special:MyLanguage/Policy:Privacy_policy" class="extiw" title="foundation:Special:MyLanguage/Policy:Privacy policy">Privacy Policy</a>. Wikipedia® is a registered trademark of the <a rel="nofollow" class="external text" href="https://wikimediafoundation.org/">Wikimedia Foundation, Inc.</a>, a non-profit organization.</li> </ul> <ul id="footer-places"> <li id="footer-places-privacy"><a href="https://foundation.wikimedia.org/wiki/Special:MyLanguage/Policy:Privacy_policy">Privacy policy</a></li> <li id="footer-places-about"><a href="/wiki/Wikipedia:About">About Wikipedia</a></li> <li id="footer-places-disclaimers"><a href="/wiki/Wikipedia:General_disclaimer">Disclaimers</a></li> <li id="footer-places-contact"><a href="//en.wikipedia.org/wiki/Wikipedia:Contact_us">Contact Wikipedia</a></li> <li id="footer-places-wm-codeofconduct"><a href="https://foundation.wikimedia.org/wiki/Special:MyLanguage/Policy:Universal_Code_of_Conduct">Code of Conduct</a></li> <li id="footer-places-developers"><a href="https://developer.wikimedia.org">Developers</a></li> <li id="footer-places-statslink"><a href="https://stats.wikimedia.org/#/en.wikipedia.org">Statistics</a></li> <li id="footer-places-cookiestatement"><a href="https://foundation.wikimedia.org/wiki/Special:MyLanguage/Policy:Cookie_statement">Cookie statement</a></li> <li id="footer-places-mobileview"><a href="//en.m.wikipedia.org/w/index.php?title=Crystallography&mobileaction=toggle_view_mobile" class="noprint stopMobileRedirectToggle">Mobile view</a></li> </ul> <ul id="footer-icons" class="noprint"> <li id="footer-copyrightico"><a href="https://wikimediafoundation.org/" class="cdx-button cdx-button--fake-button cdx-button--size-large cdx-button--fake-button--enabled"><img src="/static/images/footer/wikimedia-button.svg" width="84" height="29" alt="Wikimedia Foundation" loading="lazy"></a></li> <li id="footer-poweredbyico"><a href="https://www.mediawiki.org/" class="cdx-button cdx-button--fake-button cdx-button--size-large cdx-button--fake-button--enabled"><img src="/w/resources/assets/poweredby_mediawiki.svg" alt="Powered by MediaWiki" width="88" height="31" loading="lazy"></a></li> </ul> </footer> </div> </div> </div> <div class="vector-settings" id="p-dock-bottom"> <ul></ul> </div><script>(RLQ=window.RLQ||[]).push(function(){mw.config.set({"wgHostname":"mw-web.codfw.canary-8449446bbb-84x9h","wgBackendResponseTime":148,"wgPageParseReport":{"limitreport":{"cputime":"0.681","walltime":"0.886","ppvisitednodes":{"value":2514,"limit":1000000},"postexpandincludesize":{"value":145128,"limit":2097152},"templateargumentsize":{"value":6742,"limit":2097152},"expansiondepth":{"value":16,"limit":100},"expensivefunctioncount":{"value":11,"limit":500},"unstrip-depth":{"value":1,"limit":20},"unstrip-size":{"value":99686,"limit":5000000},"entityaccesscount":{"value":1,"limit":400},"timingprofile":["100.00% 716.310 1 -total"," 22.66% 162.312 1 Template:Reflist"," 19.12% 136.974 8 Template:Navbox"," 15.48% 110.894 2 Template:Wikt-lang"," 13.73% 98.340 1 Template:Crystallography"," 11.94% 85.528 4 Template:Cite_web"," 10.60% 75.929 1 Template:Verification"," 9.60% 68.764 1 Template:Ambox"," 8.64% 61.895 1 Template:Short_description"," 8.60% 61.604 1 Template:Authority_control"]},"scribunto":{"limitreport-timeusage":{"value":"0.435","limit":"10.000"},"limitreport-memusage":{"value":15091349,"limit":52428800},"limitreport-logs":"table#1 {\n [\"size\"] = \"tiny\",\n}\n"},"cachereport":{"origin":"mw-web.codfw.main-c999fddf4-6tlqh","timestamp":"20241127084509","ttl":2592000,"transientcontent":false}}});});</script> <script type="application/ld+json">{"@context":"https:\/\/schema.org","@type":"Article","name":"Crystallography","url":"https:\/\/en.wikipedia.org\/wiki\/Crystallography","sameAs":"http:\/\/www.wikidata.org\/entity\/Q160398","mainEntity":"http:\/\/www.wikidata.org\/entity\/Q160398","author":{"@type":"Organization","name":"Contributors to Wikimedia projects"},"publisher":{"@type":"Organization","name":"Wikimedia Foundation, Inc.","logo":{"@type":"ImageObject","url":"https:\/\/www.wikimedia.org\/static\/images\/wmf-hor-googpub.png"}},"datePublished":"2002-01-17T11:52:38Z","dateModified":"2024-09-06T13:41:31Z","image":"https:\/\/upload.wikimedia.org\/wikipedia\/commons\/6\/68\/Stohrem.jpg","headline":"study of crystals"}</script> </body> </html>