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-disabled skin-theme-clientpref-day vector-toc-available" lang="hr" dir="ltr"> <head> <meta charset="UTF-8"> <title>Magnetski moment – Wikipedija</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-disabled skin-theme-clientpref-day vector-toc-available";var cookie=document.cookie.match(/(?:^|; )hrwikimwclientpreferences=([^;]+)/);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":[",\t.",".\t,"],"wgDigitTransformTable":["",""], "wgDefaultDateFormat":"dmy hr","wgMonthNames":["","siječanj","veljača","ožujak","travanj","svibanj","lipanj","srpanj","kolovoz","rujan","listopad","studeni","prosinac"],"wgRequestId":"34d00e25-aa3d-4f40-a482-b62c75e7ef0b","wgCanonicalNamespace":"","wgCanonicalSpecialPageName":false,"wgNamespaceNumber":0,"wgPageName":"Magnetski_moment","wgTitle":"Magnetski moment","wgCurRevisionId":6661191,"wgRevisionId":6661191,"wgArticleId":523565,"wgIsArticle":true,"wgIsRedirect":false,"wgAction":"view","wgUserName":null,"wgUserGroups":["*"],"wgCategories":["Magnetizam","Magnetostatika","Fizikalne veličine"],"wgPageViewLanguage":"hr","wgPageContentLanguage":"hr","wgPageContentModel":"wikitext","wgRelevantPageName":"Magnetski_moment","wgRelevantArticleId":523565,"wgIsProbablyEditable":true,"wgRelevantPageIsProbablyEditable":true,"wgRestrictionEdit":[],"wgRestrictionMove":[],"wgNoticeProject":"wikipedia","wgCiteReferencePreviewsActive":true,"wgMediaViewerOnClick":true, "wgMediaViewerEnabledByDefault":true,"wgPopupsFlags":0,"wgVisualEditor":{"pageLanguageCode":"hr","pageLanguageDir":"ltr","pageVariantFallbacks":"hr"},"wgMFDisplayWikibaseDescriptions":{"search":true,"watchlist":true,"tagline":true,"nearby":true},"wgWMESchemaEditAttemptStepOversample":false,"wgWMEPageLength":10000,"wgRelatedArticlesCompat":[],"wgCentralAuthMobileDomain":false,"wgEditSubmitButtonLabelPublish":true,"wgULSPosition":"interlanguage","wgULSisCompactLinksEnabled":false,"wgVector2022LanguageInHeader":true,"wgULSisLanguageSelectorEmpty":false,"wgWikibaseItemId":"Q242657","wgCheckUserClientHintsHeadersJsApi":["brands","architecture","bitness","fullVersionList","mobile","model","platform","platformVersion"],"GEHomepageSuggestedEditsEnableTopics":true,"wgGETopicsMatchModeEnabled":false,"wgGEStructuredTaskRejectionReasonTextInputEnabled":false,"wgGELevelingUpEnabledForUser":false,"wgSiteNoticeId":"2.5"};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","ext.math.styles":"ready","skins.vector.search.codex.styles":"ready","skins.vector.styles":"ready","skins.vector.icons":"ready","ext.wikimediamessages.styles":"ready","ext.visualEditor.desktopArticleTarget.noscript":"ready","ext.uls.interlanguage":"ready","wikibase.client.init":"ready","ext.wikimediaBadges":"ready","ext.dismissableSiteNotice.styles":"ready"};RLPAGEMODULES=["ext.cite.ux-enhancements","mediawiki.page.media","site","mediawiki.page.ready","skins.vector.js","ext.centralNotice.geoIP","ext.centralNotice.startUp","ext.gadget.Web2Cit","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.growthExperiments.SuggestedEditSession","wikibase.sidebar.tracking","ext.dismissableSiteNotice"];</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=hr&modules=ext.cite.styles%7Cext.dismissableSiteNotice.styles%7Cext.math.styles%7Cext.uls.interlanguage%7Cext.visualEditor.desktopArticleTarget.noscript%7Cext.wikimediaBadges%7Cext.wikimediamessages.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=hr&modules=startup&only=scripts&raw=1&skin=vector-2022"></script> <meta name="ResourceLoaderDynamicStyles" content=""> <link rel="stylesheet" href="/w/load.php?lang=hr&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/thumb/4/4c/Magnetic_moment.svg/1200px-Magnetic_moment.svg.png"> <meta property="og:image:width" content="1200"> <meta property="og:image:height" content="960"> <meta property="og:image" content="https://upload.wikimedia.org/wikipedia/commons/thumb/4/4c/Magnetic_moment.svg/800px-Magnetic_moment.svg.png"> <meta property="og:image:width" content="800"> <meta property="og:image:height" content="640"> <meta property="og:image" content="https://upload.wikimedia.org/wikipedia/commons/thumb/4/4c/Magnetic_moment.svg/640px-Magnetic_moment.svg.png"> <meta property="og:image:width" content="640"> <meta property="og:image:height" content="512"> <meta name="viewport" content="width=1120"> <meta property="og:title" content="Magnetski moment – Wikipedija"> <meta property="og:type" content="website"> <link rel="preconnect" href="//upload.wikimedia.org"> <link rel="alternate" media="only screen and (max-width: 640px)" href="//hr.m.wikipedia.org/wiki/Magnetski_moment"> <link rel="alternate" type="application/x-wiki" title="Uredi" href="/w/index.php?title=Magnetski_moment&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="Wikipedija (hr)"> <link rel="EditURI" type="application/rsd+xml" href="//hr.wikipedia.org/w/api.php?action=rsd"> <link rel="canonical" href="https://hr.wikipedia.org/wiki/Magnetski_moment"> <link rel="license" href="https://creativecommons.org/licenses/by-sa/4.0/deed.hr"> <link rel="alternate" type="application/atom+xml" title="Wikipedija Atom izvor" href="/w/index.php?title=Posebno:Nedavne_promjene&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-Magnetski_moment rootpage-Magnetski_moment skin-vector-2022 action-view"><a class="mw-jump-link" href="#bodyContent">Prijeđi na sadržaj</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="Mrežno mjesto"> <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="Glavni izbornik" > <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">Glavni izbornik</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">Glavni izbornik</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-main-menu.pin">premjesti</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-main-menu.unpin">sakrij</button> </div> <div id="p-navigation" class="vector-menu mw-portlet mw-portlet-navigation" > <div class="vector-menu-heading"> Orijentacija </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="n-mainpage-description" class="mw-list-item"><a href="/wiki/Glavna_stranica" title="Posjeti glavnu stranicu [z]" accesskey="z"><span>Glavna stranica</span></a></li><li id="n-contents" class="mw-list-item"><a href="/wiki/Wikipedija:Sadr%C5%BEaj"><span>Sadržaj</span></a></li><li id="n-randompage" class="mw-list-item"><a href="/wiki/Posebno:Slu%C4%8Dajna_stranica" title="Učitavanje slučajne stranice [x]" accesskey="x"><span>Slučajna stranica</span></a></li><li id="n-recentchanges" class="mw-list-item"><a href="/wiki/Posebno:Nedavne_promjene" title="Popis nedavnih promjena u wikiju [r]" accesskey="r"><span>Nedavne promjene</span></a></li><li id="n-portal" class="mw-list-item"><a href="/wiki/Wikipedija:Kafi%C4%87" title="O projektu, što možete učiniti, gdje se što nalazi"><span>Kafić</span></a></li><li id="n-help" class="mw-list-item"><a href="/wiki/Pomo%C4%87:Sadr%C5%BEaj" title="Mjesto gdje se može dobiti pomoć"><span>Pomoć</span></a></li> </ul> </div> </div> </div> </div> </div> </div> </nav> <a href="/wiki/Glavna_stranica" 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="Wikipedija" src="/static/images/mobile/copyright/wikipedia-wordmark-hr.svg" style="width: 7.5em; height: 1.375em;"> <img class="mw-logo-tagline" alt="Slobodna enciklopedija" src="/static/images/mobile/copyright/wikipedia-tagline-hr.svg" width="120" height="13" style="width: 7.5em; 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/Posebno:Tra%C5%BEi" class="cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only search-toggle" title="Pretraži Wikipediju [f]" accesskey="f"><span class="vector-icon mw-ui-icon-search mw-ui-icon-wikimedia-search"></span> <span>Traži</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="Pretraži projekt Wikipedija" aria-label="Pretraži projekt Wikipedija" autocapitalize="sentences" title="Pretraži Wikipediju [f]" accesskey="f" id="searchInput" > <span class="cdx-text-input__icon cdx-text-input__start-icon"></span> </div> <input type="hidden" name="title" value="Posebno:Traži"> </div> <button class="cdx-button cdx-search-input__end-button">Traži</button> </form> </div> </div> </div> <nav class="vector-user-links vector-user-links-wide" aria-label="Osobni alati"> <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="Izgled"> <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="Izgled" > <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">Izgled</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="//donate.wikimedia.org/wiki/Special:FundraiserRedirector?utm_source=donate&utm_medium=sidebar&utm_campaign=C13_hr.wikipedia.org&uselang=hr" class=""><span>Donacije</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=Posebno:Stvori_ra%C4%8Dun&returnto=Magnetski+moment" title="Predlažemo Vam da stvorite račun i prijavite se, iako to nije obavezno" class=""><span>Stvori račun</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=Posebno:Prijava&returnto=Magnetski+moment" title="Predlažemo Vam da se prijavite, iako to nije obavezno [o]" accesskey="o" class=""><span>Prijavi se</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="Više mogućnosti" > <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="Osobni alati" > <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">Osobni alati</span> </label> <div class="vector-dropdown-content"> <div id="p-personal" class="vector-menu mw-portlet mw-portlet-personal user-links-collapsible-item" title="Suradnički izbornik" > <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="//donate.wikimedia.org/wiki/Special:FundraiserRedirector?utm_source=donate&utm_medium=sidebar&utm_campaign=C13_hr.wikipedia.org&uselang=hr"><span>Donacije</span></a></li><li id="pt-createaccount" class="user-links-collapsible-item mw-list-item"><a href="/w/index.php?title=Posebno:Stvori_ra%C4%8Dun&returnto=Magnetski+moment" title="Predlažemo Vam da stvorite račun i prijavite se, iako to nije obavezno"><span class="vector-icon mw-ui-icon-userAdd mw-ui-icon-wikimedia-userAdd"></span> <span>Stvori račun</span></a></li><li id="pt-login" class="user-links-collapsible-item mw-list-item"><a href="/w/index.php?title=Posebno:Prijava&returnto=Magnetski+moment" title="Predlažemo Vam da se prijavite, iako to nije obavezno [o]" accesskey="o"><span class="vector-icon mw-ui-icon-logIn mw-ui-icon-wikimedia-logIn"></span> <span>Prijavi se</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"> Stranice za neprijavljene suradnike <a href="/wiki/Pomo%C4%87:Uvod" aria-label="Vidi više o uređivanju"><span>saznajte više</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/Posebno:Moji_doprinosi" title="Popis uređivanja učinjenih s ove IP adrese [y]" accesskey="y"><span>Doprinosi</span></a></li><li id="pt-anontalk" class="mw-list-item"><a href="/wiki/Posebno:Moj_razgovor" title="Rasprava o uređivanjima s ove IP adrese [n]" accesskey="n"><span>Razgovor</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 id="mw-dismissablenotice-anonplace"></div><script>(function(){var node=document.getElementById("mw-dismissablenotice-anonplace");if(node){node.outerHTML="\u003Cdiv class=\"mw-dismissable-notice\"\u003E\u003Cdiv class=\"mw-dismissable-notice-close\"\u003E[\u003Ca tabindex=\"0\" role=\"button\"\u003Esakrij\u003C/a\u003E]\u003C/div\u003E\u003Cdiv class=\"mw-dismissable-notice-body\"\u003E\u003C!-- CentralNotice --\u003E\u003Cdiv id=\"localNotice\" data-nosnippet=\"\"\u003E\u003Cdiv class=\"sitenotice\" lang=\"hr\" dir=\"ltr\"\u003E\u003Ctable class=\"plainlinks fmbox fmbox-system\" style=\"clear: both; margin: 0.2em 0; border: 1px solid #aaa; background: #f9f9f9; width: 100%; background: #f9f9f9; border:1px solid #E3B100;\"\u003E\n\u003Ctbody\u003E\u003Ctr\u003E\t\n\u003Ctd class=\"mbox-image\"\u003E\n \u003Cspan typeof=\"mw:File\"\u003E\u003Ca href=\"/wiki/Marko_Maruli%C4%87\" title=\"Marko Marulić\"\u003E\u003Cimg src=\"//upload.wikimedia.org/wikipedia/commons/thumb/7/75/Wikipedia_Puzzleball_Maruli%C4%87_500.png/40px-Wikipedia_Puzzleball_Maruli%C4%87_500.png\" decoding=\"async\" width=\"40\" height=\"40\" class=\"mw-file-element\" srcset=\"//upload.wikimedia.org/wikipedia/commons/thumb/7/75/Wikipedia_Puzzleball_Maruli%C4%87_500.png/60px-Wikipedia_Puzzleball_Maruli%C4%87_500.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/7/75/Wikipedia_Puzzleball_Maruli%C4%87_500.png/80px-Wikipedia_Puzzleball_Maruli%C4%87_500.png 2x\" data-file-width=\"640\" data-file-height=\"640\" /\u003E\u003C/a\u003E\u003C/span\u003E\u003C/td\u003E\n\u003Ctd class=\"mbox-text\" style=\"\"\u003E \u003Cb\u003EGodina \u003Ca href=\"/wiki/Marko_Maruli%C4%87\" title=\"Marko Marulić\"\u003EMarka Marulića\u003C/a\u003E\u003C/b\u003E – 500 godina od smrti oca hrvatske književnosti. \u003C/td\u003E\n\u003C/tr\u003E\n\u003C/tbody\u003E\u003C/table\u003E\n\u003Ctable class=\"plainlinks fmbox fmbox-system\" style=\"clear: both; margin: 0.2em 0; border: 1px solid #aaa; background: #f9f9f9; width: 100%; background: #f9f9f9; border:1px solid #eaa;\"\u003E\n\u003Ctbody\u003E\u003Ctr\u003E\t\n\u003Ctd class=\"mbox-image\"\u003E\n \u003Cspan typeof=\"mw:File\"\u003E\u003Ca href=\"/wiki/Wikipedija:Kriteriji_zna%C4%8Dajnosti_po_temama\" title=\"Wikipedija:Kriteriji značajnosti po temama\"\u003E\u003Cimg src=\"//upload.wikimedia.org/wikipedia/commons/thumb/3/36/Help-content.svg/22px-Help-content.svg.png\" decoding=\"async\" width=\"22\" height=\"22\" class=\"mw-file-element\" srcset=\"//upload.wikimedia.org/wikipedia/commons/thumb/3/36/Help-content.svg/33px-Help-content.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/3/36/Help-content.svg/44px-Help-content.svg.png 2x\" data-file-width=\"48\" data-file-height=\"48\" /\u003E\u003C/a\u003E\u003C/span\u003E\u003C/td\u003E\n\u003Ctd class=\"mbox-text\" style=\"\"\u003E \u003Ca href=\"/wiki/Wikipedija:Kriteriji_zna%C4%8Dajnosti_po_temama\" title=\"Wikipedija:Kriteriji značajnosti po temama\"\u003ERaspravite \u003Cb\u003Erazradu po temama kriterija\u003C/b\u003E o značajnosti!\u003C/a\u003E \u003C/td\u003E\n\u003C/tr\u003E\n\u003C/tbody\u003E\u003C/table\u003E\u003C/div\u003E\u003C/div\u003E\u003C/div\u003E\u003C/div\u003E";}}());</script></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="Mrežno mjesto"> <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="Sadržaj" 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">Sadržaj</h2> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-toc.pin">premjesti</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-toc.unpin">sakrij</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">Početak</div> </a> </li> <li id="toc-Magneton" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Magneton"> <div class="vector-toc-text"> <span class="vector-toc-numb">1</span> <span>Magneton</span> </div> </a> <ul id="toc-Magneton-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Magnetski_momenti_i_normalni_Zeemanov_učinak" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Magnetski_momenti_i_normalni_Zeemanov_učinak"> <div class="vector-toc-text"> <span class="vector-toc-numb">2</span> <span>Magnetski momenti i normalni Zeemanov učinak</span> </div> </a> <ul id="toc-Magnetski_momenti_i_normalni_Zeemanov_učinak-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Izvori" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Izvori"> <div class="vector-toc-text"> <span class="vector-toc-numb">3</span> <span>Izvori</span> </div> </a> <ul id="toc-Izvori-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="Sadržaj" 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="Prikaz sadržaja stranice" > <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">Prikaz sadržaja stranice</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">Magnetski moment</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="Idi na druge jezične varijante članka. Dostupan je na 54 jezika" > <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-54" 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">54 jezika</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://ar.wikipedia.org/wiki/%D8%B9%D8%B2%D9%85_%D9%85%D8%BA%D9%86%D8%A7%D8%B7%D9%8A%D8%B3%D9%8A" title="عزم مغناطيسي – arapski" lang="ar" hreflang="ar" data-title="عزم مغناطيسي" data-language-autonym="العربية" data-language-local-name="arapski" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-ast mw-list-item"><a href="https://ast.wikipedia.org/wiki/Momentu_magn%C3%A9ticu" title="Momentu magnéticu – asturijski" lang="ast" hreflang="ast" data-title="Momentu magnéticu" data-language-autonym="Asturianu" data-language-local-name="asturijski" class="interlanguage-link-target"><span>Asturianu</span></a></li><li class="interlanguage-link interwiki-be mw-list-item"><a href="https://be.wikipedia.org/wiki/%D0%9C%D0%B0%D0%B3%D0%BD%D1%96%D1%82%D0%BD%D1%8B_%D0%BC%D0%BE%D0%BC%D0%B0%D0%BD%D1%82" title="Магнітны момант – bjeloruski" lang="be" hreflang="be" data-title="Магнітны момант" data-language-autonym="Беларуская" data-language-local-name="bjeloruski" class="interlanguage-link-target"><span>Беларуская</span></a></li><li class="interlanguage-link interwiki-bg mw-list-item"><a href="https://bg.wikipedia.org/wiki/%D0%9C%D0%B0%D0%B3%D0%BD%D0%B8%D1%82%D0%B5%D0%BD_%D0%BC%D0%BE%D0%BC%D0%B5%D0%BD%D1%82" title="Магнитен момент – bugarski" lang="bg" hreflang="bg" data-title="Магнитен момент" data-language-autonym="Български" data-language-local-name="bugarski" class="interlanguage-link-target"><span>Български</span></a></li><li class="interlanguage-link interwiki-bn mw-list-item"><a href="https://bn.wikipedia.org/wiki/%E0%A6%9A%E0%A7%8C%E0%A6%AE%E0%A7%8D%E0%A6%AC%E0%A6%95_%E0%A6%AD%E0%A7%8D%E0%A6%B0%E0%A6%BE%E0%A6%AE%E0%A6%95" title="চৌম্বক ভ্রামক – bangla" lang="bn" hreflang="bn" data-title="চৌম্বক ভ্রামক" data-language-autonym="বাংলা" data-language-local-name="bangla" class="interlanguage-link-target"><span>বাংলা</span></a></li><li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/Moment_magn%C3%A8tic" title="Moment magnètic – katalonski" lang="ca" hreflang="ca" data-title="Moment magnètic" data-language-autonym="Català" data-language-local-name="katalonski" 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/Magnetick%C3%BD_moment" title="Magnetický moment – češki" lang="cs" hreflang="cs" data-title="Magnetický moment" data-language-autonym="Čeština" data-language-local-name="češki" class="interlanguage-link-target"><span>Čeština</span></a></li><li class="interlanguage-link interwiki-cv mw-list-item"><a href="https://cv.wikipedia.org/wiki/%D0%9C%D0%B0%D0%B3%D0%BD%D0%B8%D1%82%D0%BB%D0%B0_%D1%81%D0%B0%D0%BC%D0%B0%D0%BD%D1%82" title="Магнитла самант – čuvaški" lang="cv" hreflang="cv" data-title="Магнитла самант" data-language-autonym="Чӑвашла" data-language-local-name="čuvaški" class="interlanguage-link-target"><span>Чӑвашла</span></a></li><li class="interlanguage-link interwiki-de mw-list-item"><a href="https://de.wikipedia.org/wiki/Magnetisches_Dipolmoment" title="Magnetisches Dipolmoment – njemački" lang="de" hreflang="de" data-title="Magnetisches Dipolmoment" data-language-autonym="Deutsch" data-language-local-name="njemački" class="interlanguage-link-target"><span>Deutsch</span></a></li><li class="interlanguage-link interwiki-el mw-list-item"><a href="https://el.wikipedia.org/wiki/%CE%9C%CE%B1%CE%B3%CE%BD%CE%B7%CF%84%CE%B9%CE%BA%CE%AE_%CF%81%CE%BF%CF%80%CE%AE" title="Μαγνητική ροπή – grčki" lang="el" hreflang="el" data-title="Μαγνητική ροπή" data-language-autonym="Ελληνικά" data-language-local-name="grčki" class="interlanguage-link-target"><span>Ελληνικά</span></a></li><li class="interlanguage-link interwiki-en mw-list-item"><a href="https://en.wikipedia.org/wiki/Magnetic_moment" title="Magnetic moment – engleski" lang="en" hreflang="en" data-title="Magnetic moment" data-language-autonym="English" data-language-local-name="engleski" class="interlanguage-link-target"><span>English</span></a></li><li class="interlanguage-link interwiki-eo mw-list-item"><a href="https://eo.wikipedia.org/wiki/Magneta_momanto" title="Magneta momanto – esperanto" lang="eo" hreflang="eo" data-title="Magneta momanto" data-language-autonym="Esperanto" data-language-local-name="esperanto" class="interlanguage-link-target"><span>Esperanto</span></a></li><li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/Momento_magn%C3%A9tico" title="Momento magnético – španjolski" lang="es" hreflang="es" data-title="Momento magnético" data-language-autonym="Español" data-language-local-name="španjolski" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-et mw-list-item"><a href="https://et.wikipedia.org/wiki/Magnetiline_moment" title="Magnetiline moment – estonski" lang="et" hreflang="et" data-title="Magnetiline moment" data-language-autonym="Eesti" data-language-local-name="estonski" class="interlanguage-link-target"><span>Eesti</span></a></li><li class="interlanguage-link interwiki-eu mw-list-item"><a href="https://eu.wikipedia.org/wiki/Momentu_magnetiko" title="Momentu magnetiko – baskijski" lang="eu" hreflang="eu" data-title="Momentu magnetiko" data-language-autonym="Euskara" data-language-local-name="baskijski" 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/%DA%AF%D8%B4%D8%AA%D8%A7%D9%88%D8%B1_%D9%85%D8%BA%D9%86%D8%A7%D8%B7%DB%8C%D8%B3%DB%8C" title="گشتاور مغناطیسی – perzijski" lang="fa" hreflang="fa" data-title="گشتاور مغناطیسی" data-language-autonym="فارسی" data-language-local-name="perzijski" class="interlanguage-link-target"><span>فارسی</span></a></li><li class="interlanguage-link interwiki-fi mw-list-item"><a href="https://fi.wikipedia.org/wiki/Magneettinen_momentti" title="Magneettinen momentti – finski" lang="fi" hreflang="fi" data-title="Magneettinen momentti" data-language-autonym="Suomi" data-language-local-name="finski" class="interlanguage-link-target"><span>Suomi</span></a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/Moment_magn%C3%A9tique" title="Moment magnétique – francuski" lang="fr" hreflang="fr" data-title="Moment magnétique" data-language-autonym="Français" data-language-local-name="francuski" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-frr mw-list-item"><a href="https://frr.wikipedia.org/wiki/Magneetisk_moment" title="Magneetisk moment – sjevernofrizijski" lang="frr" hreflang="frr" data-title="Magneetisk moment" data-language-autonym="Nordfriisk" data-language-local-name="sjevernofrizijski" class="interlanguage-link-target"><span>Nordfriisk</span></a></li><li class="interlanguage-link interwiki-ga mw-list-item"><a href="https://ga.wikipedia.org/wiki/M%C3%B3imint_mhaighn%C3%A9adach" title="Móimint mhaighnéadach – irski" lang="ga" hreflang="ga" data-title="Móimint mhaighnéadach" data-language-autonym="Gaeilge" data-language-local-name="irski" 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/Momento_magn%C3%A9tico" title="Momento magnético – galicijski" lang="gl" hreflang="gl" data-title="Momento magnético" data-language-autonym="Galego" data-language-local-name="galicijski" class="interlanguage-link-target"><span>Galego</span></a></li><li class="interlanguage-link interwiki-he mw-list-item"><a href="https://he.wikipedia.org/wiki/%D7%9E%D7%95%D7%9E%D7%A0%D7%98_%D7%9E%D7%92%D7%A0%D7%98%D7%99" title="מומנט מגנטי – hebrejski" lang="he" hreflang="he" data-title="מומנט מגנטי" data-language-autonym="עברית" data-language-local-name="hebrejski" class="interlanguage-link-target"><span>עברית</span></a></li><li class="interlanguage-link interwiki-hi mw-list-item"><a href="https://hi.wikipedia.org/wiki/%E0%A4%9A%E0%A5%81%E0%A4%AE%E0%A5%8D%E0%A4%AC%E0%A4%95%E0%A5%80%E0%A4%AF_%E0%A4%86%E0%A4%98%E0%A5%82%E0%A4%B0%E0%A5%8D%E0%A4%A3" title="चुम्बकीय आघूर्ण – hindski" lang="hi" hreflang="hi" data-title="चुम्बकीय आघूर्ण" data-language-autonym="हिन्दी" data-language-local-name="hindski" class="interlanguage-link-target"><span>हिन्दी</span></a></li><li class="interlanguage-link interwiki-hu mw-list-item"><a href="https://hu.wikipedia.org/wiki/M%C3%A1gneses_momentum" title="Mágneses momentum – mađarski" lang="hu" hreflang="hu" data-title="Mágneses momentum" data-language-autonym="Magyar" data-language-local-name="mađarski" class="interlanguage-link-target"><span>Magyar</span></a></li><li class="interlanguage-link interwiki-hy mw-list-item"><a href="https://hy.wikipedia.org/wiki/%D5%84%D5%A1%D5%A3%D5%B6%D5%AB%D5%BD%D5%A1%D5%AF%D5%A1%D5%B6_%D5%B4%D5%B8%D5%B4%D5%A5%D5%B6%D5%BF" title="Մագնիսական մոմենտ – armenski" lang="hy" hreflang="hy" data-title="Մագնիսական մոմենտ" data-language-autonym="Հայերեն" data-language-local-name="armenski" class="interlanguage-link-target"><span>Հայերեն</span></a></li><li class="interlanguage-link interwiki-id mw-list-item"><a href="https://id.wikipedia.org/wiki/Momen_magnetik" title="Momen magnetik – indonezijski" lang="id" hreflang="id" data-title="Momen magnetik" data-language-autonym="Bahasa Indonesia" data-language-local-name="indonezijski" class="interlanguage-link-target"><span>Bahasa Indonesia</span></a></li><li class="interlanguage-link interwiki-it mw-list-item"><a href="https://it.wikipedia.org/wiki/Momento_magnetico" title="Momento magnetico – talijanski" lang="it" hreflang="it" data-title="Momento magnetico" data-language-autonym="Italiano" data-language-local-name="talijanski" class="interlanguage-link-target"><span>Italiano</span></a></li><li class="interlanguage-link interwiki-ja mw-list-item"><a href="https://ja.wikipedia.org/wiki/%E7%A3%81%E6%B0%97%E3%83%A2%E3%83%BC%E3%83%A1%E3%83%B3%E3%83%88" title="磁気モーメント – japanski" lang="ja" hreflang="ja" data-title="磁気モーメント" data-language-autonym="日本語" data-language-local-name="japanski" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-ka mw-list-item"><a href="https://ka.wikipedia.org/wiki/%E1%83%9B%E1%83%90%E1%83%92%E1%83%9C%E1%83%98%E1%83%A2%E1%83%A3%E1%83%A0%E1%83%98_%E1%83%9B%E1%83%9D%E1%83%9B%E1%83%94%E1%83%9C%E1%83%A2%E1%83%98" title="მაგნიტური მომენტი – gruzijski" lang="ka" hreflang="ka" data-title="მაგნიტური მომენტი" data-language-autonym="ქართული" data-language-local-name="gruzijski" 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%9C%D0%B0%D0%B3%D0%BD%D0%B8%D1%82%D1%82%D1%96%D0%BA_%D0%BC%D0%BE%D0%BC%D0%B5%D0%BD%D1%82" title="Магниттік момент – kazaški" lang="kk" hreflang="kk" data-title="Магниттік момент" data-language-autonym="Қазақша" data-language-local-name="kazaški" class="interlanguage-link-target"><span>Қазақша</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%EC%9E%90%EA%B8%B0_%EB%AA%A8%EB%A9%98%ED%8A%B8" title="자기 모멘트 – korejski" lang="ko" hreflang="ko" data-title="자기 모멘트" data-language-autonym="한국어" data-language-local-name="korejski" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-lt mw-list-item"><a href="https://lt.wikipedia.org/wiki/Magnetinis_momentas" title="Magnetinis momentas – litavski" lang="lt" hreflang="lt" data-title="Magnetinis momentas" data-language-autonym="Lietuvių" data-language-local-name="litavski" class="interlanguage-link-target"><span>Lietuvių</span></a></li><li class="interlanguage-link interwiki-mk mw-list-item"><a href="https://mk.wikipedia.org/wiki/%D0%9C%D0%B0%D0%B3%D0%BD%D0%B5%D1%82%D0%B5%D0%BD_%D0%BC%D0%BE%D0%BC%D0%B5%D0%BD%D1%82" title="Магнетен момент – makedonski" lang="mk" hreflang="mk" data-title="Магнетен момент" data-language-autonym="Македонски" data-language-local-name="makedonski" 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%9A%E0%A5%81%E0%A4%82%E0%A4%AC%E0%A4%95%E0%A5%80_%E0%A4%9C%E0%A5%8B%E0%A4%B0" title="चुंबकी जोर – marathski" lang="mr" hreflang="mr" data-title="चुंबकी जोर" data-language-autonym="मराठी" data-language-local-name="marathski" class="interlanguage-link-target"><span>मराठी</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Magnetisch_moment" title="Magnetisch moment – nizozemski" lang="nl" hreflang="nl" data-title="Magnetisch moment" data-language-autonym="Nederlands" data-language-local-name="nizozemski" class="interlanguage-link-target"><span>Nederlands</span></a></li><li class="interlanguage-link interwiki-nn mw-list-item"><a href="https://nn.wikipedia.org/wiki/Magnetisk_moment" title="Magnetisk moment – norveški nynorsk" lang="nn" hreflang="nn" data-title="Magnetisk moment" data-language-autonym="Norsk nynorsk" data-language-local-name="norveški nynorsk" class="interlanguage-link-target"><span>Norsk nynorsk</span></a></li><li class="interlanguage-link interwiki-no mw-list-item"><a href="https://no.wikipedia.org/wiki/Magnetisk_moment" title="Magnetisk moment – norveški bokmål" lang="nb" hreflang="nb" data-title="Magnetisk moment" data-language-autonym="Norsk bokmål" data-language-local-name="norveški bokmål" class="interlanguage-link-target"><span>Norsk bokmål</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/Magnetyczny_moment_dipolowy" title="Magnetyczny moment dipolowy – poljski" lang="pl" hreflang="pl" data-title="Magnetyczny moment dipolowy" data-language-autonym="Polski" data-language-local-name="poljski" 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/Momento_magn%C3%A9tico" title="Momento magnético – portugalski" lang="pt" hreflang="pt" data-title="Momento magnético" data-language-autonym="Português" data-language-local-name="portugalski" 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/Moment_magnetic" title="Moment magnetic – rumunjski" lang="ro" hreflang="ro" data-title="Moment magnetic" data-language-autonym="Română" data-language-local-name="rumunjski" 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%9C%D0%B0%D0%B3%D0%BD%D0%B8%D1%82%D0%BD%D1%8B%D0%B9_%D0%BC%D0%BE%D0%BC%D0%B5%D0%BD%D1%82" title="Магнитный момент – ruski" lang="ru" hreflang="ru" data-title="Магнитный момент" data-language-autonym="Русский" data-language-local-name="ruski" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-sh mw-list-item"><a href="https://sh.wikipedia.org/wiki/Magnetski_moment" title="Magnetski moment – srpsko-hrvatski" lang="sh" hreflang="sh" data-title="Magnetski moment" data-language-autonym="Srpskohrvatski / српскохрватски" data-language-local-name="srpsko-hrvatski" class="interlanguage-link-target"><span>Srpskohrvatski / српскохрватски</span></a></li><li class="interlanguage-link interwiki-simple mw-list-item"><a href="https://simple.wikipedia.org/wiki/Magnetic_moment" title="Magnetic moment – Simple English" lang="en-simple" hreflang="en-simple" data-title="Magnetic moment" 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-sk mw-list-item"><a href="https://sk.wikipedia.org/wiki/Magnetick%C3%BD_moment" title="Magnetický moment – slovački" lang="sk" hreflang="sk" data-title="Magnetický moment" data-language-autonym="Slovenčina" data-language-local-name="slovački" 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/Magnetni_moment" title="Magnetni moment – slovenski" lang="sl" hreflang="sl" data-title="Magnetni moment" data-language-autonym="Slovenščina" data-language-local-name="slovenski" 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%9C%D0%B0%D0%B3%D0%BD%D0%B5%D1%82%D0%BD%D0%B8_%D0%BC%D0%BE%D0%BC%D0%B5%D0%BD%D1%82" title="Магнетни момент – srpski" lang="sr" hreflang="sr" data-title="Магнетни момент" data-language-autonym="Српски / srpski" data-language-local-name="srpski" class="interlanguage-link-target"><span>Српски / srpski</span></a></li><li class="interlanguage-link interwiki-tr mw-list-item"><a href="https://tr.wikipedia.org/wiki/Manyetik_moment" title="Manyetik moment – turski" lang="tr" hreflang="tr" data-title="Manyetik moment" data-language-autonym="Türkçe" data-language-local-name="turski" class="interlanguage-link-target"><span>Türkçe</span></a></li><li class="interlanguage-link interwiki-tt mw-list-item"><a href="https://tt.wikipedia.org/wiki/%D0%9C%D0%B0%D0%B3%D0%BD%D0%B8%D1%82_%D0%BC%D0%BE%D0%BC%D0%B5%D0%BD%D1%82%D1%8B" title="Магнит моменты – tatarski" lang="tt" hreflang="tt" data-title="Магнит моменты" data-language-autonym="Татарча / tatarça" data-language-local-name="tatarski" class="interlanguage-link-target"><span>Татарча / tatarça</span></a></li><li class="interlanguage-link interwiki-uk mw-list-item"><a href="https://uk.wikipedia.org/wiki/%D0%9C%D0%B0%D0%B3%D0%BD%D1%96%D1%82%D0%BD%D0%B8%D0%B9_%D0%BC%D0%BE%D0%BC%D0%B5%D0%BD%D1%82" title="Магнітний момент – ukrajinski" lang="uk" hreflang="uk" data-title="Магнітний момент" data-language-autonym="Українська" data-language-local-name="ukrajinski" 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/%D9%85%D9%82%D9%86%D8%A7%D8%B7%DB%8C%D8%B3%DB%8C_%D8%AD%D8%B1%DA%A9%D8%A7%D8%AA" title="مقناطیسی حرکات – urdski" lang="ur" hreflang="ur" data-title="مقناطیسی حرکات" data-language-autonym="اردو" data-language-local-name="urdski" class="interlanguage-link-target"><span>اردو</span></a></li><li class="interlanguage-link interwiki-uz mw-list-item"><a href="https://uz.wikipedia.org/wiki/Magnit_moment" title="Magnit moment – uzbečki" lang="uz" hreflang="uz" data-title="Magnit moment" data-language-autonym="Oʻzbekcha / ўзбекча" data-language-local-name="uzbečki" class="interlanguage-link-target"><span>Oʻzbekcha / ўзбекча</span></a></li><li class="interlanguage-link interwiki-vi mw-list-item"><a href="https://vi.wikipedia.org/wiki/M%C3%B4men_l%C6%B0%E1%BB%A1ng_c%E1%BB%B1c_t%E1%BB%AB" title="Mômen lưỡng cực từ – vijetnamski" lang="vi" hreflang="vi" data-title="Mômen lưỡng cực từ" data-language-autonym="Tiếng Việt" data-language-local-name="vijetnamski" class="interlanguage-link-target"><span>Tiếng Việt</span></a></li><li class="interlanguage-link interwiki-zh mw-list-item"><a href="https://zh.wikipedia.org/wiki/%E7%A3%81%E7%9F%A9" title="磁矩 – kineski" lang="zh" hreflang="zh" data-title="磁矩" data-language-autonym="中文" data-language-local-name="kineski" class="interlanguage-link-target"><span>中文</span></a></li><li class="interlanguage-link interwiki-zh-yue mw-list-item"><a href="https://zh-yue.wikipedia.org/wiki/%E7%A3%81%E7%9F%A9" title="磁矩 – kantonski" lang="yue" hreflang="yue" data-title="磁矩" data-language-autonym="粵語" data-language-local-name="kantonski" class="interlanguage-link-target"><span>粵語</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/Q242657#sitelinks-wikipedia" title="Poveznice na druge jezike" class="wbc-editpage">Uredi poveznice</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="Imenski prostori"> <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/Magnetski_moment" title="Pogledaj sadržaj [c]" accesskey="c"><span>Stranica</span></a></li><li id="ca-talk" class="new vector-tab-noicon mw-list-item"><a href="/w/index.php?title=Razgovor:Magnetski_moment&action=edit&redlink=1" rel="discussion" class="new" title="Razgovorna stranica (stranica ne postoji) [t]" accesskey="t"><span>Razgovor</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="Promijeni jezičnu varijantu" > <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">hrvatski</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="Pogledi"> <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/Magnetski_moment"><span>Čitaj</span></a></li><li id="ca-ve-edit" class="vector-tab-noicon mw-list-item"><a href="/w/index.php?title=Magnetski_moment&veaction=edit" title="Uredite ovu stranicu [v]" accesskey="v"><span>Uredi</span></a></li><li id="ca-edit" class="collapsible vector-tab-noicon mw-list-item"><a href="/w/index.php?title=Magnetski_moment&action=edit" title="Uredite izvorni kôd ove stranice [e]" accesskey="e"><span>Uredi kôd</span></a></li><li id="ca-history" class="vector-tab-noicon mw-list-item"><a href="/w/index.php?title=Magnetski_moment&action=history" title="Ranije izmjene na ovoj stranici [h]" accesskey="h"><span>Vidi povijest</span></a></li> </ul> </div> </div> </nav> <nav class="vector-page-tools-landmark" aria-label="Pomagala"> <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="Pomagala" > <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">Pomagala</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">Pomagala</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-page-tools.pin">premjesti</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-page-tools.unpin">sakrij</button> </div> <div id="p-cactions" class="vector-menu mw-portlet mw-portlet-cactions emptyPortlet vector-has-collapsible-items" title="Više mogućnosti" > <div class="vector-menu-heading"> Radnje </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/Magnetski_moment"><span>Čitaj</span></a></li><li id="ca-more-ve-edit" class="vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=Magnetski_moment&veaction=edit" title="Uredite ovu stranicu [v]" accesskey="v"><span>Uredi</span></a></li><li id="ca-more-edit" class="collapsible vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=Magnetski_moment&action=edit" title="Uredite izvorni kôd ove stranice [e]" accesskey="e"><span>Uredi kôd</span></a></li><li id="ca-more-history" class="vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=Magnetski_moment&action=history"><span>Vidi povijest</span></a></li> </ul> </div> </div> <div id="p-tb" class="vector-menu mw-portlet mw-portlet-tb" > <div class="vector-menu-heading"> Razno </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="t-whatlinkshere" class="mw-list-item"><a href="/wiki/Posebno:%C5%A0to_vodi_ovamo/Magnetski_moment" title="Popis svih stranica koje sadrže poveznice na ovu stranicu [j]" accesskey="j"><span>Što vodi ovamo</span></a></li><li id="t-recentchangeslinked" class="mw-list-item"><a href="/wiki/Posebno:Povezane_promjene/Magnetski_moment" rel="nofollow" title="Nedavne promjene na stranicama koje su povezane s navedenom stranicom [k]" accesskey="k"><span>Povezane promjene</span></a></li><li id="t-upload" class="mw-list-item"><a href="/wiki/Wikipedija:Upload" title="Postavi datoteke [u]" accesskey="u"><span>Postavi datoteku</span></a></li><li id="t-specialpages" class="mw-list-item"><a href="/wiki/Posebno:Posebne_stranice" title="Popis svih posebnih stranica [q]" accesskey="q"><span>Posebne stranice</span></a></li><li id="t-permalink" class="mw-list-item"><a href="/w/index.php?title=Magnetski_moment&oldid=6661191" title="Trajna poveznica na ovu verziju stranice"><span>Trajna poveznica</span></a></li><li id="t-info" class="mw-list-item"><a href="/w/index.php?title=Magnetski_moment&action=info" title="Više informacija o ovoj stranici"><span>Podatci o stranici</span></a></li><li id="t-cite" class="mw-list-item"><a href="/w/index.php?title=Posebno:Citiraj&page=Magnetski_moment&id=6661191&wpFormIdentifier=titleform" title="Informacije o tome kako citirati ovu stranicu"><span>Citiraj ovu stranicu</span></a></li><li id="t-urlshortener" class="mw-list-item"><a href="/w/index.php?title=Posebno:Skra%C4%87iva%C4%8D_adresa&url=https%3A%2F%2Fhr.wikipedia.org%2Fwiki%2FMagnetski_moment"><span>Skraćeni URL</span></a></li><li id="t-urlshortener-qrcode" class="mw-list-item"><a href="/w/index.php?title=Posebno:QrCode&url=https%3A%2F%2Fhr.wikipedia.org%2Fwiki%2FMagnetski_moment"><span>Preuzmi QR kôd</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"> Ispis/izvoz </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="coll-create_a_book" class="mw-list-item"><a href="/w/index.php?title=Posebno:Zbirka&bookcmd=book_creator&referer=Magnetski+moment"><span>Stvori knjigu</span></a></li><li id="coll-download-as-rl" class="mw-list-item"><a href="/w/index.php?title=Posebno:DownloadAsPdf&page=Magnetski_moment&action=show-download-screen"><span>Preuzmi kao PDF</span></a></li><li id="t-print" class="mw-list-item"><a href="/w/index.php?title=Magnetski_moment&printable=yes" title="Inačica za ispis ove stranice [p]" accesskey="p"><span>Inačica za ispis</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"> Wikimedijini projekti </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="t-wikibase" class="wb-otherproject-link wb-otherproject-wikibase-dataitem mw-list-item"><a href="https://www.wikidata.org/wiki/Special:EntityPage/Q242657" title="Poveznica na stavku na projektu Wikipodatci [g]" accesskey="g"><span>Stavka na Wikipodatcima</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="Pomagala"> <div id="vector-page-tools-pinned-container" class="vector-pinned-container"> </div> </nav> <nav class="vector-appearance-landmark" aria-label="Izgled"> <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">Izgled</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-appearance.pin">premjesti</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-appearance.unpin">sakrij</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">Izvor: Wikipedija</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="hr" dir="ltr"><figure class="mw-halign-right" typeof="mw:File/Thumb"><a href="/wiki/Datoteka:Magnetic_moment.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/4/4c/Magnetic_moment.svg/250px-Magnetic_moment.svg.png" decoding="async" width="250" height="200" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/4c/Magnetic_moment.svg/375px-Magnetic_moment.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/4c/Magnetic_moment.svg/500px-Magnetic_moment.svg.png 2x" data-file-width="85" data-file-height="68" /></a><figcaption>Magnetski moment <i>μ</i> je umnožak <a href="/wiki/Elektri%C4%8Dna_struja" title="Električna struja">jakosti električne struje</a> <i>I</i> i <a href="/wiki/Povr%C5%A1ina" title="Površina">ploštine</a> petlje <i>S</i>.</figcaption></figure> <figure class="mw-halign-right" typeof="mw:File/Thumb"><a href="/wiki/Datoteka:Solenoid,_air_core,_insulated,_20_turns,_(shaded).svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/a/a3/Solenoid%2C_air_core%2C_insulated%2C_20_turns%2C_%28shaded%29.svg/250px-Solenoid%2C_air_core%2C_insulated%2C_20_turns%2C_%28shaded%29.svg.png" decoding="async" width="250" height="225" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/a/a3/Solenoid%2C_air_core%2C_insulated%2C_20_turns%2C_%28shaded%29.svg/375px-Solenoid%2C_air_core%2C_insulated%2C_20_turns%2C_%28shaded%29.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/a/a3/Solenoid%2C_air_core%2C_insulated%2C_20_turns%2C_%28shaded%29.svg/500px-Solenoid%2C_air_core%2C_insulated%2C_20_turns%2C_%28shaded%29.svg.png 2x" data-file-width="300" data-file-height="270" /></a><figcaption>Kad se kroz <a href="/wiki/Elektri%C4%8Dna_zavojnica" title="Električna zavojnica">električnu zavojnicu</a> pušta <a href="/wiki/Elektri%C4%8Dna_struja" title="Električna struja">električna struja</a>, ona postaje <a href="/wiki/Elektromagnet" title="Elektromagnet">elektromagnet</a>, koji ima svoj magnetski moment.</figcaption></figure> <figure class="mw-halign-right" typeof="mw:File/Thumb"><a href="/wiki/Datoteka:ZeemanEffect.GIF" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/3/32/ZeemanEffect.GIF/250px-ZeemanEffect.GIF" decoding="async" width="250" height="266" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/3/32/ZeemanEffect.GIF 1.5x" data-file-width="298" data-file-height="317" /></a><figcaption><a href="/wiki/Fotografija" title="Fotografija">Fotografija</a> koju je <a href="/wiki/Pieter_Zeeman" title="Pieter Zeeman">P. Zeeman</a> napravio objašnjavajući <a href="/wiki/Zeemanov_u%C4%8Dinak" title="Zeemanov učinak">Zeemanov učinak</a>.</figcaption></figure> <p><b>Magnetski moment</b> ili <b>magnetski dipolni moment</b> (znak <i>m</i> ili <i>μ</i>) je <a href="/wiki/Vektor" title="Vektor">vektorska</a> <a href="/wiki/Fizikalna_veli%C4%8Dina" class="mw-redirect" title="Fizikalna veličina">fizikalna veličina</a> kojom se opisuju svojstva <a href="/w/index.php?title=Stalni_magnet&action=edit&redlink=1" class="new" title="Stalni magnet (stranica ne postoji)">stalnih magneta</a> i <a href="/wiki/Elektri%C4%8Dna_zavojnica" title="Električna zavojnica">električnih zavojnica</a> kroz koje teče <a href="/wiki/Elektri%C4%8Dna_struja" title="Električna struja">električna struja</a>; umnožak je <a href="/wiki/Elektri%C4%8Dna_struja" title="Električna struja">jakosti električne struje</a> i <a href="/wiki/Povr%C5%A1ina" title="Površina">ploštine</a> petlje. Smjer je vektora magnetskoga momenta od sjevernoga prema južnom magnetskom polu, odnosno okomit je na površinu petlje kroz koju teče električna struja. Mjerna je jedinica <a href="/wiki/Amper" title="Amper">amper</a> puta <a href="/wiki/Kvadratni_metar" class="mw-redirect" title="Kvadratni metar">kvadratni metar</a> (A ∙ m<sup>2</sup>). Magnetski momenti čestica u <a href="/wiki/Atomska_fizika" title="Atomska fizika">atomskoj</a> i <a href="/wiki/Nuklearna_fizika" title="Nuklearna fizika">nuklearnoj fizici</a> iskazuju se s pomoću <a href="/wiki/Niels_Bohr" title="Niels Bohr">Bohrova</a> i nuklearnoga magnetona.<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> </p> <div class="mw-heading mw-heading2"><h2 id="Magneton">Magneton</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Magnetski_moment&veaction=edit&section=1" title="Uredi odlomak: Magneton" class="mw-editsection-visualeditor"><span>uredi</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Magnetski_moment&action=edit&section=1" title="Uredi kôd odjeljka Magneton"><span>uredi kôd</span></a><span class="mw-editsection-bracket">]</span></span></div> <p><a href="/wiki/Magneton" class="mw-disambig" title="Magneton">Magneton</a> je elementarni <a href="/wiki/Kvant" title="Kvant">kvant</a> magnetskoga momenta, fizikalna konstanta koja opisuje magnetska svojstva <a href="/wiki/Atom" title="Atom">atoma</a> i <a href="/wiki/Subatomska_%C4%8Destica" title="Subatomska čestica">subatomskih čestica</a>. <a href="/wiki/Bohrov_magneton" title="Bohrov magneton">Bohrov magneton</a> (nazvan prema <a href="/wiki/Niels_Bohr" title="Niels Bohr">Nielsu Bohru</a>) je veličina koja označava klasično određen magnetski moment <a href="/wiki/Elektron" title="Elektron">elektrona</a>: </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \mu _{\mathrm {B} }={\frac {e\cdot \hbar }{2\cdot m_{\mathrm {e} }}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>μ</mi> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">B</mi> </mrow> </mrow> </msub> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>e</mi> <mo>⋅</mo> <mi class="MJX-variant">ℏ</mi> </mrow> <mrow> <mn>2</mn> <mo>⋅</mo> <msub> <mi>m</mi> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">e</mi> </mrow> </mrow> </msub> </mrow> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \mu _{\mathrm {B} }={\frac {e\cdot \hbar }{2\cdot m_{\mathrm {e} }}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b75d132e7c179ed61bf105a6cc7fe85f47f86cfb" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.171ex; width:12.576ex; height:5.676ex;" alt="{\displaystyle \mu _{\mathrm {B} }={\frac {e\cdot \hbar }{2\cdot m_{\mathrm {e} }}}}"></span></dd></dl> <p>gdje je: </p> <dl><dd><i>μ<sub>B</sub></i> - <a href="/wiki/Bohrov_magneton" title="Bohrov magneton">Bohrov magneton</a>,</dd> <dd><i>e</i> - <a href="/wiki/Elementarni_naboj" title="Elementarni naboj">elementarni naboj</a> <a href="/wiki/Elektron" title="Elektron">elektrona</a>,</dd> <dd><i>ħ</i> - reducirana <a href="/wiki/Planckova_konstanta" title="Planckova konstanta">Planckova konstanta</a>,</dd> <dd><i>m</i><sub>e</sub> - masa <a href="/wiki/Elektron" title="Elektron">elektrona</a>,</dd></dl> <p>Mjerena vrijednost Bohrova magnetona iznosi <i>μ<sub>e</sub></i> ≈ 9,285 · 10<sup>–24</sup> A ∙ m<sup>2</sup>. Analogno se po Bohrovu modelu za <a href="/wiki/Proton" title="Proton">protone</a> u jezgri atoma dobiva vrijednost <a href="/wiki/Nuklearni_magneton" title="Nuklearni magneton">nuklearnog magnetona</a> <i>μ<sub>p</sub></i> ≈ 5,051 · 10<sup>–27</sup>A ∙ m<sup>2</sup>, ali je ona zbog takozvane hiperfine strukture znatno manja i ovisi o broju protona i <a href="/wiki/Neutron" title="Neutron">neutrona</a> u jezgri.<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> </p> <div class="mw-heading mw-heading2"><h2 id="Magnetski_momenti_i_normalni_Zeemanov_učinak"><span id="Magnetski_momenti_i_normalni_Zeemanov_u.C4.8Dinak"></span>Magnetski momenti i normalni Zeemanov učinak</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Magnetski_moment&veaction=edit&section=2" title="Uredi odlomak: Magnetski momenti i normalni Zeemanov učinak" class="mw-editsection-visualeditor"><span>uredi</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Magnetski_moment&action=edit&section=2" title="Uredi kôd odjeljka Magnetski momenti i normalni Zeemanov učinak"><span>uredi kôd</span></a><span class="mw-editsection-bracket">]</span></span></div> <div style="margin-left:0.3rem"><i><style data-mw-deduplicate="TemplateStyles:r7016135">.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"><span typeof="mw:File"><a href="/wiki/Datoteka:Vista-xmag.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/e/e5/Vista-xmag.png/18px-Vista-xmag.png" decoding="async" width="18" height="18" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/e/e5/Vista-xmag.png/27px-Vista-xmag.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/e/e5/Vista-xmag.png/36px-Vista-xmag.png 2x" data-file-width="128" data-file-height="128" /></a></span> Podrobniji članci o temama: <a href="/wiki/Bohrov_magneton" title="Bohrov magneton">Bohrov magneton</a> i <a href="/wiki/Zeemanov_u%C4%8Dinak" title="Zeemanov učinak">Zeemanov učinak</a></div></i></div> <p>Klasična teorija magnetskih momenata pošla je od <a href="/wiki/Hans_Christian_%C3%98rsted" title="Hans Christian Ørsted">Oerstedova</a> otkrića da <a href="/wiki/Elektri%C4%8Dna_struja" title="Električna struja">električne struje</a> proizvode oko sebe <a href="/wiki/Magnetsko_polje" title="Magnetsko polje">magnetska polja</a>. Zatvorena električna struja djeluje kao <a href="/wiki/Magnet" title="Magnet">magnet</a>. Magnetski moment, stvoren vrtnjom <a href="/wiki/Elektricitet" title="Elektricitet">elektriciteta</a>, sukladan (proporcionalan) je umnošku jakosti s površinom koju struja omeđuje. Ova važna klasična spoznaja može se primijeniti i na gibanje <a href="/wiki/Elektron" title="Elektron">elektrona</a> oko <a href="/wiki/Atomska_jezgra" title="Atomska jezgra">atomske jezgre</a>. I elektron stvara "zatvorenu struju" pa djeluje kao magnet. Magnetski moment je određen <a href="/wiki/Moment" class="mw-redirect" title="Moment">momentom</a> impulsa. Između magnetskog momenta i impulsa vrtnje postoji odnos: </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \mu ={\frac {e}{2\cdot m\cdot c}}\cdot p\cdot \phi }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>μ</mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>e</mi> <mrow> <mn>2</mn> <mo>⋅</mo> <mi>m</mi> <mo>⋅</mo> <mi>c</mi> </mrow> </mfrac> </mrow> <mo>⋅</mo> <mi>p</mi> <mo>⋅</mo> <mi>ϕ</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \mu ={\frac {e}{2\cdot m\cdot c}}\cdot p\cdot \phi }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/81979af70e1b7fbd74586fb4e12b0127e29109b8" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:18.817ex; height:4.676ex;" alt="{\displaystyle \mu ={\frac {e}{2\cdot m\cdot c}}\cdot p\cdot \phi }"></span></dd></dl> <p>Ovaj klasični izraz preuzela je i <a href="/wiki/Kvantna_mehanika" title="Kvantna mehanika">kvantna teorija</a>. No ovdje <a href="/wiki/Impuls" class="mw-disambig" title="Impuls">impuls</a> vrtnje ne može poprimiti sve vrijednosti, nego samo <a href="/wiki/Diskretan" class="mw-disambig" title="Diskretan">diskretne</a> <i>n<sub>φ</sub>∙h</i>/2∙π. Uvrstimo li to u gornju jednadžbu, dobivamo: </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \mu =n_{\phi }\cdot {\frac {e\cdot h}{4\cdot \pi \cdot m\cdot c}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>μ</mi> <mo>=</mo> <msub> <mi>n</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>ϕ</mi> </mrow> </msub> <mo>⋅</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>e</mi> <mo>⋅</mo> <mi>h</mi> </mrow> <mrow> <mn>4</mn> <mo>⋅</mo> <mi>π</mi> <mo>⋅</mo> <mi>m</mi> <mo>⋅</mo> <mi>c</mi> </mrow> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \mu =n_{\phi }\cdot {\frac {e\cdot h}{4\cdot \pi \cdot m\cdot c}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/5341edbf0a3df2ed7a82743d327f3370fb5990a4" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:20.201ex; height:5.343ex;" alt="{\displaystyle \mu =n_{\phi }\cdot {\frac {e\cdot h}{4\cdot \pi \cdot m\cdot c}}}"></span></dd></dl> <p>gdje je: <i>n<sub>φ</sub></i> = 1, 2, 3, …. </p><p>U kvantnoj teoriji magnetski su momenti jednaki cijelom broju osnovne jedinice: </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \mu _{B}={\frac {e\cdot h}{4\cdot \pi \cdot m\cdot c}}=-\,9,274\cdot 10^{-24}\ {\mbox{A}}\cdot {\mbox{m}}^{2}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>μ</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>B</mi> </mrow> </msub> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>e</mi> <mo>⋅</mo> <mi>h</mi> </mrow> <mrow> <mn>4</mn> <mo>⋅</mo> <mi>π</mi> <mo>⋅</mo> <mi>m</mi> <mo>⋅</mo> <mi>c</mi> </mrow> </mfrac> </mrow> <mo>=</mo> <mo>−</mo> <mspace width="thinmathspace" /> <mn>9</mn> <mo>,</mo> <mn>274</mn> <mo>⋅</mo> <msup> <mn>10</mn> <mrow class="MJX-TeXAtom-ORD"> <mo>−</mo> <mn>24</mn> </mrow> </msup> <mtext> </mtext> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="false" scriptlevel="0"> <mtext>A</mtext> </mstyle> </mrow> <mo>⋅</mo> <msup> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="false" scriptlevel="0"> <mtext>m</mtext> </mstyle> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \mu _{B}={\frac {e\cdot h}{4\cdot \pi \cdot m\cdot c}}=-\,9,274\cdot 10^{-24}\ {\mbox{A}}\cdot {\mbox{m}}^{2}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/c4bfb54f9e0d5e951884a0d144e2eb99524d1008" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:42.524ex; height:5.343ex;" alt="{\displaystyle \mu _{B}={\frac {e\cdot h}{4\cdot \pi \cdot m\cdot c}}=-\,9,274\cdot 10^{-24}\ {\mbox{A}}\cdot {\mbox{m}}^{2}}"></span></dd></dl> <p>Ovaj elementarni magnetski moment zove se Bohrov magneton. Iskustvo pokazuje da <a href="/wiki/Atom" title="Atom">atomima</a> zaista pripadaju magnetski momenti tih veličina. Bohrov magneton jedna je od temeljnih <a href="/wiki/Fizikalne_konstante" title="Fizikalne konstante">prirodnih konstanti</a>. </p><p>Magnetski momenti atoma dolaze do izražaja kad ih stavimo u vanjsko <a href="/wiki/Magnetsko_polje" title="Magnetsko polje">magnetsko polje</a>. Razmotrimo sada kako se mijenjaju energetski nivoi atoma u magnetskom polju. Vanjsko <a href="/wiki/Magnetsko_polje" title="Magnetsko polje">magnetsko polje</a> možemo smatrati u području <a href="/wiki/Atom" title="Atom">atoma</a> konstantnim. U magnetskom polju <i>H</i> ima atom <a href="/wiki/Potencijalna_energija" title="Potencijalna energija">potencijalnu energiju</a>: </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle E_{pot}=-\,\mu \cdot H\cdot \cos(\mu ,H)}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>E</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>p</mi> <mi>o</mi> <mi>t</mi> </mrow> </msub> <mo>=</mo> <mo>−</mo> <mspace width="thinmathspace" /> <mi>μ</mi> <mo>⋅</mo> <mi>H</mi> <mo>⋅</mo> <mi>cos</mi> <mo>⁡</mo> <mo stretchy="false">(</mo> <mi>μ</mi> <mo>,</mo> <mi>H</mi> <mo stretchy="false">)</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle E_{pot}=-\,\mu \cdot H\cdot \cos(\mu ,H)}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/50dba45af468ca2c6f63c26fd798960c1d6b6de9" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.005ex; width:25.702ex; height:3.009ex;" alt="{\displaystyle E_{pot}=-\,\mu \cdot H\cdot \cos(\mu ,H)}"></span></dd></dl> <p>Potencijalna energija atoma zavisi od smjera magnetskog momenta prema vanjskom magnetskom polju. Može li to biti bilo koji smjer? Kad bi to bilo tako, potencijalna bi energija atoma poprimila kontinuirane vrijednosti između - <i>μ∙H</i> i + <i>μ∙H</i>. Ta kontinuiranost morala bi se očitovati i u <a href="/wiki/Spektar_(fizika)" title="Spektar (fizika)">atomskom spektru</a>. No to se protivi činjenicama. Atomski spektri ostaju oštri <a href="/wiki/Linijski_spektar" title="Linijski spektar">linijski spektri</a> i u magnetskom polju. Moramo, dakle, pretpostaviti da se magnetski momenti atoma postavljaju samo u određenim, diskretnim smjerovima prema magnetskom polju. </p><p>Tvrdimo, a to se može izvesti iz kvantnih uvjeta <a href="/wiki/Arnold_Sommerfeld" title="Arnold Sommerfeld">Sommerfelda</a> i <a href="/wiki/Charles_Thomson_Rees_Wilson" title="Charles Thomson Rees Wilson">Wilsona</a>, da se staza elektrona može prema vanjskom magnetskom polju samo tako orijentirati da projekcija njegova momenta impulsa <i>M<sub>H</sub></i> i magnetskog momenta bude opet ista diskretna veličina: </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle M_{H}={\frac {m\cdot h}{2\cdot \pi }}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>M</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>H</mi> </mrow> </msub> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>m</mi> <mo>⋅</mo> <mi>h</mi> </mrow> <mrow> <mn>2</mn> <mo>⋅</mo> <mi>π</mi> </mrow> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle M_{H}={\frac {m\cdot h}{2\cdot \pi }}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/84441089c877083cee2c77b87ff6e580776b97ca" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:12.939ex; height:5.343ex;" alt="{\displaystyle M_{H}={\frac {m\cdot h}{2\cdot \pi }}}"></span></dd></dl> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \mu _{H}={\frac {e}{2\cdot m_{e}\cdot c}}\cdot m\cdot {\frac {h}{2\cdot \pi }}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>μ</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>H</mi> </mrow> </msub> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>e</mi> <mrow> <mn>2</mn> <mo>⋅</mo> <msub> <mi>m</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>e</mi> </mrow> </msub> <mo>⋅</mo> <mi>c</mi> </mrow> </mfrac> </mrow> <mo>⋅</mo> <mi>m</mi> <mo>⋅</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>h</mi> <mrow> <mn>2</mn> <mo>⋅</mo> <mi>π</mi> </mrow> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \mu _{H}={\frac {e}{2\cdot m_{e}\cdot c}}\cdot m\cdot {\frac {h}{2\cdot \pi }}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/025d5108cfb983a0be0b8c725a94672dc24d9985" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.171ex; width:26.002ex; height:5.676ex;" alt="{\displaystyle \mu _{H}={\frac {e}{2\cdot m_{e}\cdot c}}\cdot m\cdot {\frac {h}{2\cdot \pi }}}"></span></dd></dl> <p>Da izbjegnemo zabunu, dodali smo masi elektrona indeks <i>e</i>; <i>m</i> se zove <a href="/wiki/Kvantni_brojevi" title="Kvantni brojevi">magnetski kvantni broj</a> i može poprimiti cijele brojeve od + <i>n<sub>φ</sub></i> do - <i>n<sub>φ</sub></i>: </p> <dl><dd>m = - <i>n<sub>φ</sub></i>, - <i>n<sub>φ</sub></i> + 1…, - 1, 0, + 1, … <i>n<sub>φ</sub></i> - 1, <i>n<sub>φ</sub></i></dd></dl> <p>Zadnje dvije jednadžbe su temelj kvantne teorije atoma. Moment impulsa je <a href="/wiki/Vektor" title="Vektor">vektor</a> koji stoji okomito na ravninu gibanja. Dok nema vanjskog magnetskog polja, može ravnina gibanja elektrona ležati po volji u prostoru. No, kad stavimo atom u magnetsko polje, ravnina gibanja mora se tako postaviti da je projekcija momenta impulsa u smjeru polja opet jednaka cijelom broju od <i>h</i>/2∙π. U kvantnoj teoriji nisu <a href="/wiki/Kvant" title="Kvant">kvantizirani</a> samo impulsi vrtnje nego i njihove projekcije u smjeru magnetskog polja. </p><p>Promotrit ćemo sada posebne slučajeve, gdje impuls vrtnje <i>p</i> ima redom vrijednosti <i>h</i>/2∙π, 2∙<i>h</i>/2∙π, 3∙<i>h</i>/2∙π, … Magnetsko polje ima stalan smjer. Obično se uzima da je to smjer odozdo prema gore: </p> <ul><li><i>n<sub>φ</sub></i> = 1. Moment impulsa može se postaviti samo paralelno, antiparalelno i okomito prema smjeru magnetskog polja. Magnetski kvantni broj <i>m</i> poprima vrijednosti + 1, - 1 i 0.</li> <li><i>n<sub>φ</sub></i> = 2. Kao i prije, moment impulsa može se postaviti samo paralelno, antiparalelno i okomito. Magnetski kvantni broj <i>m</i> poprima vrijednosti + 2, - 2 i 0. No, pored toga može moment impulsa stajati gore i dolje pod kutom od 60° prema magnetskom polju. Tada je cos <i>φ</i> = 1/2, pa je projekcija momenta impulsa jednaka <i>h</i>/2∙π. U tim slučajevima ima magnetski kvantni broj <i>m</i> vrijednosti + 1 i - 1.</li> <li><i>n<sub>φ</sub></i> = 3. Moguće je 7 orijentacija: cos (<i>p<sub>φ</sub>, H</i>) = ± 1, ± 2/3, ± 1/3 i 0.</li></ul> <p>Općenito je moguć paralelan, antiparalelan i okomit smjer momenta impulsa s obzirom na vanjsko polje. Ako je kvantni broj vrtnje veći od 1, tad su još mogući i smjerovi kod kojih je <a href="/wiki/Kosinus" title="Kosinus">kosinus</a> kuta jednak omjeru između dva cijela broja: </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \cos(\mu ,H)={\frac {m}{n_{\phi }}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>cos</mi> <mo>⁡</mo> <mo stretchy="false">(</mo> <mi>μ</mi> <mo>,</mo> <mi>H</mi> <mo stretchy="false">)</mo> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>m</mi> <msub> <mi>n</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>ϕ</mi> </mrow> </msub> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \cos(\mu ,H)={\frac {m}{n_{\phi }}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/bffc7b98a3941b6b3ebbdf8251f36957aab6f4f9" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.505ex; width:15.961ex; height:5.343ex;" alt="{\displaystyle \cos(\mu ,H)={\frac {m}{n_{\phi }}}}"></span></dd></dl> <p>Što kaže iskustvo o tome? Već prije postanka kvantne mehanike našao je <a href="/wiki/Pieter_Zeeman" title="Pieter Zeeman">P. Zeeman</a> da se spektralne linije u magnetskom polju cijepaju na više komponenata. Razmotrimo neku spektralnu liniju. Njena <a href="/wiki/Frekvencija" title="Frekvencija">frekvencija</a> je dana <a href="/wiki/Bohrov_model_atoma" title="Bohrov model atoma">Bohrovim postulatom</a>: </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle h\cdot \nu =E'-E''}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>h</mi> <mo>⋅</mo> <mi>ν</mi> <mo>=</mo> <msup> <mi>E</mi> <mo>′</mo> </msup> <mo>−</mo> <msup> <mi>E</mi> <mo>″</mo> </msup> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle h\cdot \nu =E'-E''}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/84f608388f10f80ce28032db395924ca717c86ce" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:15.599ex; height:2.676ex;" alt="{\displaystyle h\cdot \nu =E'-E''}"></span></dd></dl> <p>gdje je: <i>E' </i> - <a href="/wiki/Energija" title="Energija">energija</a> početnog stanja, <i>E"</i> - energija konačnog stanja. Za vrijeme emisije neka djeluje na atom jaki magnet. Tad pridolazi svakom energetskom nivou još magnetska energija: <i>μ∙H</i>∙cos(<i>μ, H</i>), što možemo dalje pisati: <i>μ<sub>B</sub>∙H</i>. Prema tome vidimo da atomu u magnetskom polju pridolazi potencijalna energija: </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle E_{pot}=-\,\mu _{B}\cdot H\cdot m}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>E</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>p</mi> <mi>o</mi> <mi>t</mi> </mrow> </msub> <mo>=</mo> <mo>−</mo> <mspace width="thinmathspace" /> <msub> <mi>μ</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>B</mi> </mrow> </msub> <mo>⋅</mo> <mi>H</mi> <mo>⋅</mo> <mi>m</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle E_{pot}=-\,\mu _{B}\cdot H\cdot m}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/3fdf350ff17ff3310c2f00f20fe5b4298fc6fe56" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.005ex; width:19.803ex; height:2.843ex;" alt="{\displaystyle E_{pot}=-\,\mu _{B}\cdot H\cdot m}"></span></dd></dl> <p>gdje je: <i>m</i> = 0, ± 1, ± 2, ± 3, … </p><p>Pri kvantnom prijelazu atoma može se magnetski kvantni broj promijeniti za 1 ili 0. Energija emitiranog kvanta svjetlosti (<a href="/wiki/Foton" title="Foton">fotona</a>) jednaka je, dakle: </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle h\cdot \nu =E'-E''-\mu _{B}\cdot H\cdot \Delta m}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>h</mi> <mo>⋅</mo> <mi>ν</mi> <mo>=</mo> <msup> <mi>E</mi> <mo>′</mo> </msup> <mo>−</mo> <msup> <mi>E</mi> <mo>″</mo> </msup> <mo>−</mo> <msub> <mi>μ</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>B</mi> </mrow> </msub> <mo>⋅</mo> <mi>H</mi> <mo>⋅</mo> <mi mathvariant="normal">Δ</mi> <mi>m</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle h\cdot \nu =E'-E''-\mu _{B}\cdot H\cdot \Delta m}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ef41e436544f0f7fb560283ce6b5abf0622407c6" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:30.718ex; height:3.009ex;" alt="{\displaystyle h\cdot \nu =E'-E''-\mu _{B}\cdot H\cdot \Delta m}"></span></dd></dl> <p>gdje je: <i>Δm</i> = 0, + 1, - 1 </p><p>Frekvencija emitirane spektralne linije pod djelovanjem magnetskog polja jednaka je: </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \nu ={\frac {E'-E''}{h}}-{\frac {\mu _{B}\cdot H}{h}}\cdot \Delta m}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>ν</mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <msup> <mi>E</mi> <mo>′</mo> </msup> <mo>−</mo> <msup> <mi>E</mi> <mo>″</mo> </msup> </mrow> <mi>h</mi> </mfrac> </mrow> <mo>−</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <msub> <mi>μ</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>B</mi> </mrow> </msub> <mo>⋅</mo> <mi>H</mi> </mrow> <mi>h</mi> </mfrac> </mrow> <mo>⋅</mo> <mi mathvariant="normal">Δ</mi> <mi>m</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \nu ={\frac {E'-E''}{h}}-{\frac {\mu _{B}\cdot H}{h}}\cdot \Delta m}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/75571d68602bb384f94edb1161827fde8fb12bb2" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.005ex; width:29.373ex; height:5.676ex;" alt="{\displaystyle \nu ={\frac {E'-E''}{h}}-{\frac {\mu _{B}\cdot H}{h}}\cdot \Delta m}"></span></dd></dl> <p>Označimo frekvenciju nesmetane linije s <i>ν<sub>0</sub></i> i uvrstimo za Bohrov magneton prethodni izraz. Tad dobivamo za spektar u magnetskom polju izraz: </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \nu =\nu _{0}-{\frac {e\cdot H}{4\cdot \pi \cdot m_{e}\cdot c}}\cdot \Delta m}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>ν</mi> <mo>=</mo> <msub> <mi>ν</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>0</mn> </mrow> </msub> <mo>−</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>e</mi> <mo>⋅</mo> <mi>H</mi> </mrow> <mrow> <mn>4</mn> <mo>⋅</mo> <mi>π</mi> <mo>⋅</mo> <msub> <mi>m</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>e</mi> </mrow> </msub> <mo>⋅</mo> <mi>c</mi> </mrow> </mfrac> </mrow> <mo>⋅</mo> <mi mathvariant="normal">Δ</mi> <mi>m</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \nu =\nu _{0}-{\frac {e\cdot H}{4\cdot \pi \cdot m_{e}\cdot c}}\cdot \Delta m}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/5e7325bc4c6332e88d71c5a42099268d908377d3" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.171ex; width:27.443ex; height:5.509ex;" alt="{\displaystyle \nu =\nu _{0}-{\frac {e\cdot H}{4\cdot \pi \cdot m_{e}\cdot c}}\cdot \Delta m}"></span></dd></dl> <p>Mjesto jedne spektralne linije imamo tri. Jedna linija, <i>Δm</i> = 0, leži na mjestu prvobitne linije, druge dvije su za <i>e∙H/4∙π∙me∙c</i> pomaknute nalijevo ili nadesno, već prema tome da li je <i>Δm</i> = - 1 ili <i>Δm</i> = + 1. Te tri linije našao je <a href="/wiki/Pieter_Zeeman" title="Pieter Zeeman">P. Zeeman</a> 1896. Pojava triju linija mjesto jedne u magnetskom polju zove se <b>normalnim Zeemanovim učinkom</b> ili efektom. <a href="/wiki/Zeemanov_u%C4%8Dinak" title="Zeemanov učinak">Zeemanov učinak</a> očito pokazuje <a href="/wiki/Diskretan" class="mw-disambig" title="Diskretan">diskretnost</a> u orijentacijama magnetskih momenata. </p><p>Cijepanje spektralnih linija u magnetskom polju iznosi: </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \Delta \nu =\pm {\frac {e\cdot H}{4\cdot \pi \cdot m_{e}\cdot c}}=\pm 1,4\cdot 10^{6}\ {\mbox{H}}\cdot {\mbox{s}}^{-}1}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi mathvariant="normal">Δ</mi> <mi>ν</mi> <mo>=</mo> <mo>±</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>e</mi> <mo>⋅</mo> <mi>H</mi> </mrow> <mrow> <mn>4</mn> <mo>⋅</mo> <mi>π</mi> <mo>⋅</mo> <msub> <mi>m</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>e</mi> </mrow> </msub> <mo>⋅</mo> <mi>c</mi> </mrow> </mfrac> </mrow> <mo>=</mo> <mo>±</mo> <mn>1</mn> <mo>,</mo> <mn>4</mn> <mo>⋅</mo> <msup> <mn>10</mn> <mrow class="MJX-TeXAtom-ORD"> <mn>6</mn> </mrow> </msup> <mtext> </mtext> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="false" scriptlevel="0"> <mtext>H</mtext> </mstyle> </mrow> <mo>⋅</mo> <msup> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="false" scriptlevel="0"> <mtext>s</mtext> </mstyle> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mo>−</mo> </mrow> </msup> <mn>1</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \Delta \nu =\pm {\frac {e\cdot H}{4\cdot \pi \cdot m_{e}\cdot c}}=\pm 1,4\cdot 10^{6}\ {\mbox{H}}\cdot {\mbox{s}}^{-}1}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/4a8046aba4f28e452f63552f5a87aa1e253437dd" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.171ex; width:41.404ex; height:5.509ex;" alt="{\displaystyle \Delta \nu =\pm {\frac {e\cdot H}{4\cdot \pi \cdot m_{e}\cdot c}}=\pm 1,4\cdot 10^{6}\ {\mbox{H}}\cdot {\mbox{s}}^{-}1}"></span></dd></dl> <p>Razmak između lijeve i desne linije je to veći što je magnetsko polje jače. Cijepanje je svakako malo, dok djeluju nornalna magnetska polja. Mjerenja daju točno pomak frekvencije, koji smo teorijski proračunali. </p><p>Ovdje je važno napomenuti da klasična teorija daje za pomak spektralnih linija u magnetskom polju isto što i kvantna. Promjena frekvencije slaže se s <a href="/wiki/Larmorova_precesija" title="Larmorova precesija">Larmorovom frekvencijom</a>. </p><p>Po Larmorovu teoremu, elektronskom sustavu u megnetskom polju pridolazi jednolika <a href="/wiki/Vrtnja" title="Vrtnja">vrtnja</a> (<a href="/wiki/Rotacija" class="mw-redirect" title="Rotacija">rotacija</a>) s frekvencijom <i>ν<sub>L</sub></i> = - (<i>e∙H</i>/4∙π∙<i>m<sub>e</sub>∙c</i>). Već prema tome da li se elektroni okreću oko magnetskih silnica u pozitivnom ili negativnom smjeru, frekvencija će se elektrona povećati ili umanjiti za Larmorovu frekvenciju. Oni elektroni koji titraju linearno u smjeru magnetskih silnica neće, naravno, uopće promijeniti frekvencije. Općenito možemo svako <a href="/wiki/Titranje" title="Titranje">titranje</a> elektrona rastaviti u ta tri tipična titranja, pa prema tome dobivamo po klasičnoj teoriji u <a href="/wiki/Emisijski_spektar" title="Emisijski spektar">emisijskom</a> ili <a href="/wiki/Apsorpcijska_spektroskopija" title="Apsorpcijska spektroskopija">apsorpcijskom spektru</a> tri linije. Zeemanov nalaz bio je u prvo vrijeme shvaćen kao velik uspjeh <a href="/wiki/Hendrik_Antoon_Lorentz" title="Hendrik Antoon Lorentz">Lorentzove elektronske teorije</a>. Danas znamo da klasična teorija ne može objasniti emisije ni apsorpcije. Uzrok da se kvantna jednadžba ipak podudara s klasičnom Larmorovom frekvencijom leži u tome što je iz te jednadžbe ispala <a href="/wiki/Planckova_konstanta" title="Planckova konstanta">Planckova konstanta</a>. Kvantna teorija je tu na neki način skrivena. Prema načelu korespodencije prelazi kvantna teorija u klasičnu kad konstanta <i>h</i> teži k nuli. Ovdje se mora kvantna jednadžba podudarati s klasičnom, jer se u njoj kod tog graničnog prijelaza ništa ne mijenja. </p><p>Pomoću <a href="/wiki/Na%C4%8Delo_korespondencije" title="Načelo korespondencije">načela korespodencije</a> možemo vrlo dobro shvatiti izborna pravila koja vrijede za emisiju svjetlosti. U klasičnom modelu Zeemanovog učinka imamo 3 frekvencije. Očito je da nesmetano linearno titranje u smjeru polja korespondira prijelazu <i>Δm</i> = 0, pri kojemu se frekvencija ne mijenja. Oba klasična kružna ili cirkularna titranja, pri kojima se frekvencija mijenja za <i>ν<sub>L</sub></i>, korespondiraju prijelazima <i>Δm</i> = + 1 i -1. Drugi prijelazi u kvantnoj teoriji nisu mogući, jer za njih nema klasičnog analogona. </p><p>Klasični model daje također točnu sliku o <a href="/wiki/Polarizirana_svjetlost" title="Polarizirana svjetlost">polarizaciji emitirane svjetlosti</a>. Prema trima različitim titranjima elektrona imamo linearno, lijevo i desno polariziranu svjetlost. Kvantnom skoku <i>Δm</i> = 0 odgovara linearno polarizirana svjetlost u smjeru polja, kvantnim skokovima <i>Δm</i> = + 1 i -1 kružna (cirkularna) polarizacija oko magnetskih silnica. Linearno polarizirane emisijske linije označuju se kao π komponente, a kružno (cirkularno) polarizirane kao σ komponente. </p><p>Vidjeli smo da klasični <a href="/wiki/Dipol" title="Dipol">dipol</a> ne zrači energije u smjeru svoje osi. Kad mjerimo <a href="/wiki/Svjetlosna_jakost" title="Svjetlosna jakost">jakost (intenzitet) svjetlosti</a> u osi dipola, ne primjećujemo ništa. Isto tako i kod Zeemanovog učinka, kad gledamo svjetlost <a href="/wiki/Longitudinalan_val" title="Longitudinalan val">longitudinalno</a>, to jest u liniji paralelnoj s magnetskim poljem, opažamo samo dvije spektralne linije, naime kružno (cirkularno) polarizirane. Naprotiv, kad gledamo <a href="/wiki/Transverzalni_val" title="Transverzalni val">transverzalno</a>, okomito na smjer polja, opažamo sve tri linije.<sup id="cite_ref-3" class="reference"><a href="#cite_note-3"><span class="cite-bracket">[</span>3<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading2"><h2 id="Izvori">Izvori</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Magnetski_moment&veaction=edit&section=3" title="Uredi odlomak: Izvori" class="mw-editsection-visualeditor"><span>uredi</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Magnetski_moment&action=edit&section=3" title="Uredi kôd odjeljka Izvori"><span>uredi kôd</span></a><span class="mw-editsection-bracket">]</span></span></div> <style data-mw-deduplicate="TemplateStyles:r6541845">.mw-parser-output .reflist{font-size:90%;margin-bottom:0.5em;list-style-type:decimal}.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"><ol class="references"> <li id="cite_note-1"><span class="mw-cite-backlink"><a href="#cite_ref-1">↑</a></span> <span class="reference-text"> <b>magnetski moment</b>, <a rel="nofollow" class="external autonumber" href="http://www.enciklopedija.hr//natuknica.aspx?ID=69665">[1]</a> "Hrvatska enciklopedija", Leksikografski zavod Miroslav Krleža, www.enciklopedija.hr, 2014.</span> </li> <li id="cite_note-2"><span class="mw-cite-backlink"><a href="#cite_ref-2">↑</a></span> <span class="reference-text"> <b>magneton</b>, <a rel="nofollow" class="external autonumber" href="http://www.enciklopedija.hr//natuknica.aspx?ID=38042">[2]</a> "Hrvatska enciklopedija", Leksikografski zavod Miroslav Krleža, www.enciklopedija.hr, 2014.</span> </li> <li id="cite_note-3"><span class="mw-cite-backlink"><a href="#cite_ref-3">↑</a></span> <span class="reference-text"> <a href="/wiki/Ivan_Supek" title="Ivan Supek">Ivan Supek</a>: "Nova fizika", Školska knjiga Zagreb, 1966.</span> </li> </ol></div></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="">Dobavljeno iz "<a dir="ltr" href="https://hr.wikipedia.org/w/index.php?title=Magnetski_moment&oldid=6661191">https://hr.wikipedia.org/w/index.php?title=Magnetski_moment&oldid=6661191</a>"</div></div> <div id="catlinks" class="catlinks" data-mw="interface"><div id="mw-normal-catlinks" class="mw-normal-catlinks"><a href="/wiki/Posebno:Kategorije" title="Posebno:Kategorije">Kategorije</a>: <ul><li><a href="/wiki/Kategorija:Magnetizam" title="Kategorija:Magnetizam">Magnetizam</a></li><li><a href="/wiki/Kategorija:Magnetostatika" title="Kategorija:Magnetostatika">Magnetostatika</a></li><li><a href="/wiki/Kategorija:Fizikalne_veli%C4%8Dine" title="Kategorija:Fizikalne veličine">Fizikalne veličine</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"> Ova stranica posljednji je put uređivana 15. lipnja 2023. u 11:24.</li> <li id="footer-info-copyright">Tekst je dostupan pod licencijom <a rel="nofollow" class="external text" href="https://creativecommons.org/licenses/by-sa/4.0/deed.hr">Creative Commons: Imenuj autora/Dijeli pod istim uvjetima</a>; mogu se primjenjivati i dodatni uvjeti. Pogledajte <a class="external text" href="https://foundation.wikimedia.org/wiki/Special:MyLanguage/Policy:Terms_of_Use">Uvjete upotrebe</a> za detalje.</li> </ul> <ul id="footer-places"> <li id="footer-places-privacy"><a href="https://foundation.wikimedia.org/wiki/Special:MyLanguage/Policy:Privacy_policy">Zaštita privatnosti</a></li> <li id="footer-places-about"><a href="/wiki/Impresum">Impresum</a></li> <li id="footer-places-disclaimers"><a href="/wiki/Wikipedija:Op%C4%87e_odricanje_od_odgovornosti">Odricanje od odgovornosti</a></li> <li id="footer-places-wm-codeofconduct"><a href="https://foundation.wikimedia.org/wiki/Special:MyLanguage/Policy:Universal_Code_of_Conduct">Kodeks ponašanja</a></li> <li id="footer-places-developers"><a href="https://developer.wikimedia.org">Razvojni programeri</a></li> <li id="footer-places-statslink"><a href="https://stats.wikimedia.org/#/hr.wikipedia.org">Statistika</a></li> <li id="footer-places-cookiestatement"><a href="https://foundation.wikimedia.org/wiki/Special:MyLanguage/Policy:Cookie_statement">Izjava o kolačićima</a></li> <li id="footer-places-mobileview"><a href="//hr.m.wikipedia.org/w/index.php?title=Magnetski_moment&mobileaction=toggle_view_mobile" class="noprint stopMobileRedirectToggle">Prikaz za mobilne uređaje</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.main-f69cdc8f6-cdf8n","wgBackendResponseTime":137,"wgPageParseReport":{"limitreport":{"cputime":"0.068","walltime":"0.156","ppvisitednodes":{"value":247,"limit":1000000},"postexpandincludesize":{"value":626,"limit":2097152},"templateargumentsize":{"value":32,"limit":2097152},"expansiondepth":{"value":5,"limit":100},"expensivefunctioncount":{"value":2,"limit":500},"unstrip-depth":{"value":0,"limit":20},"unstrip-size":{"value":3255,"limit":5000000},"entityaccesscount":{"value":0,"limit":400},"timingprofile":["100.00% 48.548 1 -total"," 75.36% 36.584 1 Predložak:Glavni"," 22.36% 10.853 1 Predložak:Izvori"]},"scribunto":{"limitreport-timeusage":{"value":"0.014","limit":"10.000"},"limitreport-memusage":{"value":644235,"limit":52428800}},"cachereport":{"origin":"mw-web.eqiad.main-7c479b968-vh9wb","timestamp":"20241117072111","ttl":2592000,"transientcontent":false}}});});</script> <script type="application/ld+json">{"@context":"https:\/\/schema.org","@type":"Article","name":"Magnetski moment","url":"https:\/\/hr.wikipedia.org\/wiki\/Magnetski_moment","sameAs":"http:\/\/www.wikidata.org\/entity\/Q242657","mainEntity":"http:\/\/www.wikidata.org\/entity\/Q242657","author":{"@type":"Organization","name":"Doprinositelji projektima Wikimedije"},"publisher":{"@type":"Organization","name":"Wikimedia Foundation, Inc.","logo":{"@type":"ImageObject","url":"https:\/\/www.wikimedia.org\/static\/images\/wmf-hor-googpub.png"}},"datePublished":"2014-11-30T09:51:06Z","dateModified":"2023-06-15T10:24:36Z","image":"https:\/\/upload.wikimedia.org\/wikipedia\/commons\/4\/4c\/Magnetic_moment.svg"}</script> </body> </html>