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[o]" accesskey="o"><span class="vector-icon mw-ui-icon-logIn mw-ui-icon-wikimedia-logIn"></span> <span>Zaloguj się</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"> Strony dla anonimowych edytorów <a href="/wiki/Pomoc:Pierwsze_kroki" aria-label="Dowiedz się więcej na temat edytowania"><span>dowiedz się więcej</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/Specjalna:M%C3%B3j_wk%C5%82ad" title="Lista edycji wykonanych z tego adresu IP [y]" accesskey="y"><span>Edycje</span></a></li><li id="pt-anontalk" class="mw-list-item"><a href="/wiki/Specjalna:Moja_dyskusja" title="Dyskusja użytkownika dla tego adresu IP [n]" accesskey="n"><span>Dyskusja</span></a></li> </ul> </div> </div> </div> </div> </nav> </div> </header> </div> <div class="mw-page-container"> <div class="mw-page-container-inner"> <div class="vector-sitenotice-container"> <div id="siteNotice"></div> </div> <div class="vector-column-start"> <div class="vector-main-menu-container"> <div id="mw-navigation"> <nav id="mw-panel" class="vector-main-menu-landmark" aria-label="Witryna"> <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="Spis treści" 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">Spis treści</h2> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-toc.pin">przypnij</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-toc.unpin">ukryj</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">Początek</div> </a> </li> <li id="toc-Obliczanie" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Obliczanie"> <div class="vector-toc-text"> <span class="vector-toc-numb">1</span> <span>Obliczanie</span> </div> </a> <ul id="toc-Obliczanie-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Wartości_stałych" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Wartości_stałych"> <div class="vector-toc-text"> <span class="vector-toc-numb">2</span> <span>Wartości stałych</span> </div> </a> <ul id="toc-Wartości_stałych-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Przypisy" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Przypisy"> <div class="vector-toc-text"> <span class="vector-toc-numb">3</span> <span>Przypisy</span> </div> </a> <ul id="toc-Przypisy-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="Spis treści" 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="Przełącz stan spisu treści" > <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">Przełącz stan spisu treści</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">Stała sieci krystalicznej</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="Przejdź do artykułu w innym języku. Treść dostępna w 23 językach" > <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-23" 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">23 języki</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%AB%D8%A7%D8%A8%D8%AA_%D8%A7%D9%84%D8%B4%D8%A8%D9%83%D8%A9_%D8%A7%D9%84%D8%A8%D9%84%D9%88%D8%B1%D9%8A%D8%A9" title="ثابت الشبكة البلورية – arabski" lang="ar" hreflang="ar" data-title="ثابت الشبكة البلورية" data-language-autonym="العربية" data-language-local-name="arabski" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-bn mw-list-item"><a href="https://bn.wikipedia.org/wiki/%E0%A6%B2%E0%A7%8D%E0%A6%AF%E0%A6%BE%E0%A6%9F%E0%A6%BF%E0%A6%B8_%E0%A6%A7%E0%A7%8D%E0%A6%B0%E0%A7%81%E0%A6%AC%E0%A6%95" title="ল্যাটিস ধ্রুবক – bengalski" lang="bn" hreflang="bn" data-title="ল্যাটিস ধ্রুবক" data-language-autonym="বাংলা" data-language-local-name="bengalski" 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/Par%C3%A0metre_de_xarxa" title="Paràmetre de xarxa – kataloński" lang="ca" hreflang="ca" data-title="Paràmetre de xarxa" data-language-autonym="Català" data-language-local-name="kataloński" class="interlanguage-link-target"><span>Català</span></a></li><li class="interlanguage-link interwiki-cv mw-list-item"><a href="https://cv.wikipedia.org/wiki/%D0%A0%D0%B5%D1%88%D0%B5%D1%82%D0%BA%D0%B5_%D0%BA%D0%BE%D0%BD%D1%81%D1%82%D0%B0%D0%BD%D1%82%D1%82%D0%B8" title="Решетке константти – czuwaski" lang="cv" hreflang="cv" data-title="Решетке константти" data-language-autonym="Чӑвашла" data-language-local-name="czuwaski" 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/Gitterparameter" title="Gitterparameter – niemiecki" lang="de" hreflang="de" data-title="Gitterparameter" data-language-autonym="Deutsch" data-language-local-name="niemiecki" class="interlanguage-link-target"><span>Deutsch</span></a></li><li class="interlanguage-link interwiki-en mw-list-item"><a href="https://en.wikipedia.org/wiki/Lattice_constant" title="Lattice constant – angielski" lang="en" hreflang="en" data-title="Lattice constant" data-language-autonym="English" data-language-local-name="angielski" class="interlanguage-link-target"><span>English</span></a></li><li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/Par%C3%A1metro_de_red" title="Parámetro de red – hiszpański" lang="es" hreflang="es" data-title="Parámetro de red" data-language-autonym="Español" data-language-local-name="hiszpański" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-fa mw-list-item"><a href="https://fa.wikipedia.org/wiki/%D8%AB%D8%A7%D8%A8%D8%AA_%D8%B4%D8%A8%DA%A9%D9%87" title="ثابت شبکه – perski" lang="fa" hreflang="fa" data-title="ثابت شبکه" data-language-autonym="فارسی" data-language-local-name="perski" class="interlanguage-link-target"><span>فارسی</span></a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/Param%C3%A8tre_cristallin" title="Paramètre cristallin – francuski" lang="fr" hreflang="fr" data-title="Paramètre cristallin" data-language-autonym="Français" data-language-local-name="francuski" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-id mw-list-item"><a href="https://id.wikipedia.org/wiki/Konstanta_kisi" title="Konstanta kisi – indonezyjski" lang="id" hreflang="id" data-title="Konstanta kisi" data-language-autonym="Bahasa Indonesia" data-language-local-name="indonezyjski" 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/Costante_di_reticolo" title="Costante di reticolo – włoski" lang="it" hreflang="it" data-title="Costante di reticolo" data-language-autonym="Italiano" data-language-local-name="włoski" class="interlanguage-link-target"><span>Italiano</span></a></li><li class="interlanguage-link interwiki-he mw-list-item"><a href="https://he.wikipedia.org/wiki/%D7%A4%D7%A8%D7%9E%D7%98%D7%A8_%D7%A1%D7%A8%D7%99%D7%92" title="פרמטר סריג – hebrajski" lang="he" hreflang="he" data-title="פרמטר סריג" data-language-autonym="עברית" data-language-local-name="hebrajski" class="interlanguage-link-target"><span>עברית</span></a></li><li class="interlanguage-link interwiki-lt mw-list-item"><a href="https://lt.wikipedia.org/wiki/Gardel%C4%97s_konstanta" title="Gardelės konstanta – litewski" lang="lt" hreflang="lt" data-title="Gardelės konstanta" data-language-autonym="Lietuvių" data-language-local-name="litewski" class="interlanguage-link-target"><span>Lietuvių</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Roosterconstante" title="Roosterconstante – niderlandzki" lang="nl" hreflang="nl" data-title="Roosterconstante" data-language-autonym="Nederlands" data-language-local-name="niderlandzki" class="interlanguage-link-target"><span>Nederlands</span></a></li><li class="interlanguage-link interwiki-ja mw-list-item"><a href="https://ja.wikipedia.org/wiki/%E6%A0%BC%E5%AD%90%E5%AE%9A%E6%95%B0" title="格子定数 – japoński" lang="ja" hreflang="ja" data-title="格子定数" data-language-autonym="日本語" data-language-local-name="japoński" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-uz mw-list-item"><a href="https://uz.wikipedia.org/wiki/Kristall_panjara_davri" title="Kristall panjara davri – uzbecki" lang="uz" hreflang="uz" data-title="Kristall panjara davri" data-language-autonym="Oʻzbekcha / ўзбекча" data-language-local-name="uzbecki" class="interlanguage-link-target"><span>Oʻzbekcha / ўзбекча</span></a></li><li class="interlanguage-link interwiki-pt mw-list-item"><a href="https://pt.wikipedia.org/wiki/Par%C3%A2metros_de_rede" title="Parâmetros de rede – portugalski" lang="pt" hreflang="pt" data-title="Parâmetros de rede" data-language-autonym="Português" data-language-local-name="portugalski" class="interlanguage-link-target"><span>Português</span></a></li><li class="interlanguage-link interwiki-ru mw-list-item"><a href="https://ru.wikipedia.org/wiki/%D0%9F%D0%BE%D1%81%D1%82%D0%BE%D1%8F%D0%BD%D0%BD%D0%B0%D1%8F_%D1%80%D0%B5%D1%88%D1%91%D1%82%D0%BA%D0%B8" title="Постоянная решётки – rosyjski" lang="ru" hreflang="ru" data-title="Постоянная решётки" data-language-autonym="Русский" data-language-local-name="rosyjski" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-sv mw-list-item"><a href="https://sv.wikipedia.org/wiki/Gitterkonstant" title="Gitterkonstant – szwedzki" lang="sv" hreflang="sv" data-title="Gitterkonstant" data-language-autonym="Svenska" data-language-local-name="szwedzki" class="interlanguage-link-target"><span>Svenska</span></a></li><li class="interlanguage-link interwiki-tr mw-list-item"><a href="https://tr.wikipedia.org/wiki/Kafes_sabiti" title="Kafes sabiti – turecki" lang="tr" hreflang="tr" data-title="Kafes sabiti" data-language-autonym="Türkçe" data-language-local-name="turecki" class="interlanguage-link-target"><span>Türkçe</span></a></li><li class="interlanguage-link interwiki-uk mw-list-item"><a href="https://uk.wikipedia.org/wiki/%D0%9F%D0%B5%D1%80%D1%96%D0%BE%D0%B4_%D0%BA%D1%80%D0%B8%D1%81%D1%82%D0%B0%D0%BB%D1%96%D1%87%D0%BD%D0%BE%D1%97_%D2%91%D1%80%D0%B0%D1%82%D0%BA%D0%B8" title="Період кристалічної ґратки – ukraiński" lang="uk" hreflang="uk" data-title="Період кристалічної ґратки" data-language-autonym="Українська" data-language-local-name="ukraiński" class="interlanguage-link-target"><span>Українська</span></a></li><li class="interlanguage-link interwiki-wuu mw-list-item"><a href="https://wuu.wikipedia.org/wiki/%E6%99%B6%E8%83%9E%E5%8F%82%E6%95%B0" title="晶胞参数 – wu" lang="wuu" hreflang="wuu" data-title="晶胞参数" data-language-autonym="吴语" data-language-local-name="wu" class="interlanguage-link-target"><span>吴语</span></a></li><li class="interlanguage-link interwiki-zh mw-list-item"><a href="https://zh.wikipedia.org/wiki/%E6%99%B6%E6%A0%BC%E5%B8%B8%E6%95%B8" title="晶格常數 – chiński" lang="zh" hreflang="zh" data-title="晶格常數" data-language-autonym="中文" data-language-local-name="chiński" class="interlanguage-link-target"><span>中文</span></a></li> </ul> <div class="after-portlet after-portlet-lang"><span class="wb-langlinks-edit wb-langlinks-link"><a href="https://www.wikidata.org/wiki/Special:EntityPage/Q625641#sitelinks-wikipedia" title="Edytuj linki pomiędzy wersjami językowymi" class="wbc-editpage">Edytuj linki</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="Przestrzenie nazw"> <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 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class="mw-indicators"> </div> <div id="siteSub" class="noprint">Z Wikipedii, wolnej encyklopedii</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="pl" dir="ltr"><p><b>Stała sieci krystalicznej</b> – odległość między środkami sąsiednich <a href="/wiki/Kom%C3%B3rka_elementarna" title="Komórka elementarna">komórek elementarnych</a> w <a href="/wiki/Cia%C5%82o_krystaliczne" title="Ciało krystaliczne">krysztale</a><sup id="cite_ref-ssk1_1-0" class="reference"><a href="#cite_note-ssk1-1">[1]</a></sup>. </p> <div class="mw-heading mw-heading2"><h2 id="Obliczanie">Obliczanie</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Sta%C5%82a_sieci_krystalicznej&veaction=edit&section=1" title="Edytuj sekcję: Obliczanie" class="mw-editsection-visualeditor"><span>edytuj</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Sta%C5%82a_sieci_krystalicznej&action=edit&section=1" title="Edytuj kod źródłowy sekcji: Obliczanie"><span>edytuj kod</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Obliczyć stałą sieci krystalicznej można, jeżeli znany jest <a href="/wiki/Sk%C5%82ad_chemiczny" title="Skład chemiczny">skład chemiczny</a> kryształu i jego <a href="/wiki/Sie%C4%87_krystaliczna" title="Sieć krystaliczna">struktura krystaliczna</a>. Zadanie sprowadza się do ustalenia liczby <a href="/wiki/Cz%C4%85steczka" title="Cząsteczka">cząsteczek</a>, <a href="/wiki/Atom" title="Atom">atomów</a> lub <a href="/wiki/Jon" title="Jon">jonów</a> w komórce elementarnej, wyrażenie jej objętości przez stałą sieci krystalicznej i przeprowadzenie odpowiednich obliczeń na podstawie znajomości gęstości kryształu. </p><p><a href="/wiki/Obj%C4%99to%C5%9B%C4%87_molowa" title="Objętość molowa">Objętość molową</a> można wyrazić wzorami: </p> <dl><dd><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 V={\frac {1}{4}}N_{A}d^{3},}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>V</mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mn>4</mn> </mfrac> </mrow> <msub> <mi>N</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>A</mi> </mrow> </msub> <msup> <mi>d</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>3</mn> </mrow> </msup> <mo>,</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle V={\frac {1}{4}}N_{A}d^{3},}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a593d43396f0c1f325b3f1c5b5e8f20ae243c915" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:13.134ex; height:5.176ex;" alt="{\displaystyle V={\frac {1}{4}}N_{A}d^{3},}"></span></dd></dl></dd></dl> <p>gdzie: </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 N_{A}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>N</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>A</mi> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle N_{A}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/9fa9233ef6a6a2c0576dbf65490ddb8307fde494" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:3.331ex; height:2.509ex;" alt="{\displaystyle N_{A}}"></span> – <a href="/wiki/Sta%C5%82a_Avogadra" title="Stała Avogadra">stała Avogadra</a> [1/mol],</dd> <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 d}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>d</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle d}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/e85ff03cbe0c7341af6b982e47e9f90d235c66ab" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.216ex; height:2.176ex;" alt="{\displaystyle d}"></span> – stała sieci krystalicznej [m]</dd></dl> <p>oraz </p> <dl><dd><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 V={\frac {M}{\rho }},}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>V</mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>M</mi> <mi>ρ</mi> </mfrac> </mrow> <mo>,</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle V={\frac {M}{\rho }},}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a1df35a252cf488957ae2e1a6a4797066ca294ee" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.338ex; width:8.811ex; height:5.676ex;" alt="{\displaystyle V={\frac {M}{\rho }},}"></span></dd></dl></dd></dl> <p>gdzie: </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}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>M</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle M}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f82cade9898ced02fdd08712e5f0c0151758a0dd" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.442ex; height:2.176ex;" alt="{\displaystyle M}"></span> – <a href="/wiki/Masa_molowa" title="Masa molowa">masa molowa</a> [g/mol],</dd> <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 \rho }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>ρ</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \rho }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/1f7d439671d1289b6a816e6af7a304be40608d64" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:1.202ex; height:2.176ex;" alt="{\displaystyle \rho }"></span> – <a href="/wiki/G%C4%99sto%C5%9B%C4%87" title="Gęstość">gęstość</a> kryształu [g/dm³].</dd></dl> <p>Przyrównując oba wzory stronami: </p> <dl><dd><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 {\frac {1}{4}}N_{A}d^{3}={\frac {M}{\rho }},}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mn>4</mn> </mfrac> </mrow> <msub> <mi>N</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>A</mi> </mrow> </msub> <msup> <mi>d</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>3</mn> </mrow> </msup> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>M</mi> <mi>ρ</mi> </mfrac> </mrow> <mo>,</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\frac {1}{4}}N_{A}d^{3}={\frac {M}{\rho }},}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/299c4c8f40081305a49581bff3bc5f4d549842fc" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.338ex; width:14.626ex; height:5.676ex;" alt="{\displaystyle {\frac {1}{4}}N_{A}d^{3}={\frac {M}{\rho }},}"></span></dd></dl></dd></dl> <p>stąd<sup id="cite_ref-ssk1_1-1" class="reference"><a href="#cite_note-ssk1-1">[1]</a></sup>: </p> <dl><dd><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 d={\sqrt[{3}]{\frac {4M}{N_{A}\rho }}}.}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>d</mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mroot> <mfrac> <mrow> <mn>4</mn> <mi>M</mi> </mrow> <mrow> <msub> <mi>N</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>A</mi> </mrow> </msub> <mi>ρ</mi> </mrow> </mfrac> <mrow class="MJX-TeXAtom-ORD"> <mn>3</mn> </mrow> </mroot> </mrow> <mo>.</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle d={\sqrt[{3}]{\frac {4M}{N_{A}\rho }}}.}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/33c1e6543d133310634f7ffb9ffd2f31e4a66d2f" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -3.338ex; width:12.654ex; height:7.676ex;" alt="{\displaystyle d={\sqrt[{3}]{\frac {4M}{N_{A}\rho }}}.}"></span></dd></dl></dd></dl> <div class="mw-heading mw-heading2"><h2 id="Wartości_stałych"><span id="Warto.C5.9Bci_sta.C5.82ych"></span>Wartości stałych</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Sta%C5%82a_sieci_krystalicznej&veaction=edit&section=2" title="Edytuj sekcję: Wartości stałych" class="mw-editsection-visualeditor"><span>edytuj</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Sta%C5%82a_sieci_krystalicznej&action=edit&section=2" title="Edytuj kod źródłowy sekcji: Wartości stałych"><span>edytuj kod</span></a><span class="mw-editsection-bracket">]</span></span></div> <figure typeof="mw:File/Thumb"><a href="/wiki/Plik:UnitCell.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/5/5e/UnitCell.png/250px-UnitCell.png" decoding="async" width="250" height="182" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/5/5e/UnitCell.png/375px-UnitCell.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/5/5e/UnitCell.png/500px-UnitCell.png 2x" data-file-width="1155" data-file-height="842" /></a><figcaption>Definicje osi <i>a</i>, <i>b</i>, <i>c</i> i kątów α, β, γ</figcaption></figure> <table class="wikitable" style="text-align:center"> <caption>Wartości stałych sieciowych dla danych układów krystalograficznych<sup id="cite_ref-ssk2_2-0" class="reference"><a href="#cite_note-ssk2-2">[2]</a></sup> </caption> <tbody><tr> <th><a href="/wiki/Uk%C5%82ad_krystalograficzny" title="Układ krystalograficzny">Układ krystalograficzny</a> </th> <th><a href="/w/index.php?title=Periody_identyczno%C5%9Bci&action=edit&redlink=1" class="new" title="Periody identyczności (strona nie istnieje)">Periody identyczności</a> </th> <th>Kąty między osiami </th></tr> <tr> <td><a href="/wiki/Uk%C5%82ad_regularny" title="Układ regularny">regularny</a> </td> <td>a = b = c </td> <td>α = β = γ = 90° </td></tr> <tr> <td><a href="/wiki/Uk%C5%82ad_heksagonalny" title="Układ heksagonalny">heksagonalny</a> </td> <td>a = b ≠ c </td> <td>α = β = 90°; γ = 120° </td></tr> <tr> <td><a href="/wiki/Uk%C5%82ad_tetragonalny" title="Układ tetragonalny">tetragonalny</a> </td> <td>a = b ≠ c </td> <td>α = β = γ = 90° </td></tr> <tr> <td><a href="/wiki/Uk%C5%82ad_rombowy" title="Układ rombowy">rombowy</a> </td> <td>a ≠ b ≠ c </td> <td>α = β = γ = 90° </td></tr> <tr> <td><a href="/wiki/Uk%C5%82ad_jednosko%C5%9Bny" title="Układ jednoskośny">jednoskośny</a> </td> <td>a ≠ b ≠ c </td> <td>α = γ = 90°; β ≠ 90° </td></tr> <tr> <td><a href="/wiki/Uk%C5%82ad_tr%C3%B3jsko%C5%9Bny" title="Układ trójskośny">trójskośny</a> </td> <td>a ≠ b ≠ c </td> <td>α ≠ β ≠ γ </td></tr></tbody></table> <div class="mw-heading mw-heading2"><h2 id="Przypisy">Przypisy</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Sta%C5%82a_sieci_krystalicznej&veaction=edit&section=3" title="Edytuj sekcję: Przypisy" class="mw-editsection-visualeditor"><span>edytuj</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Sta%C5%82a_sieci_krystalicznej&action=edit&section=3" title="Edytuj kod źródłowy sekcji: Przypisy"><span>edytuj kod</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="do-not-make-smaller refsection"><div class="mw-references-wrap"><ol class="references"> <li id="cite_note-ssk1-1"><span class="mw-cite-backlink">↑ <sup><a href="#cite_ref-ssk1_1-0">a</a></sup> <sup><a href="#cite_ref-ssk1_1-1">b</a></sup></span> <span class="reference-text"><cite class="citation book">Buszmanov B.N., Chromov J.A.: <i>Fizyka ciała stałego</i>. Warszawa: Wydawnictwa Naukowo-Techniczne, 1973, s. 70–71.<span class="Z3988" title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Fizyka+cia%C5%82a+sta%C5%82ego&rft.au=Buszmanov+B.N.%2C+Chromov+J.A.&rft.pub=Wydawnictwa+Naukowo-Techniczne&rft.place=Warszawa&rft.pages=70%E2%80%9371"></span></cite></span> </li> <li id="cite_note-ssk2-2"><span class="mw-cite-backlink"><a href="#cite_ref-ssk2_2-0">↑</a></span> <span class="reference-text"><cite class="citation book">Trzaska Durski Z., Trzaska Durska H.: <i>Podstawy krystalografii</i>. Warszawa: OW Politechniki Warszawskiej, 2003, s. 43. <a href="/wiki/Specjalna:Ksi%C4%85%C5%BCki/8372074380" title="Specjalna:Książki/8372074380">ISBN <span class="isbn">83-7207-438-0</span></a>.<span class="Z3988" title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Podstawy+krystalografii&rft.au=Trzaska+Durski+Z.%2C+Trzaska+Durska+H.&rft.pub=OW+Politechniki+Warszawskiej&rft.place=Warszawa&rft.pages=43&rft.isbn=83-7207-438-0"></span></cite></span> </li> </ol></div></div> <style data-mw-deduplicate="TemplateStyles:r74016753">.mw-parser-output #normdaten>div+div{margin-top:0.5em}.mw-parser-output #normdaten>div>div{background:var(--background-color-neutral,#eaecf0);padding:.2em .5em}.mw-parser-output #normdaten ul{margin:0;padding:0}.mw-parser-output #normdaten ul li:first-child{padding-left:.5em;border-left:1px solid var(--border-color-base,#a2a9b1)}</style> <div id="normdaten" class="catlinks"><div class="normdaten-typ-fehlt"><div><a href="/wiki/Kontrola_autorytatywna" title="Kontrola autorytatywna">Kontrola autorytatywna</a> (<span class="description"><a href="/wiki/D%C5%82ugo%C5%9B%C4%87_fizyczna" title="Długość fizyczna">długość</a></span>):</div><ul><li><a href="/wiki/Gemeinsame_Normdatei" title="Gemeinsame Normdatei">GND</a>: <span class="uid"><a rel="nofollow" class="external text" href="http://d-nb.info/gnd/4343388-1">4343388-1</a></span></li></ul></div><div class="normdaten-andere"><div><a href="/wiki/Encyklopedia_internetowa" title="Encyklopedia internetowa">Encyklopedie internetowe</a>:</div> <ul><li><a href="/wiki/Encyklopedia_Britannica" title="Encyklopedia Britannica">Britannica</a>: <span class="uid"><a rel="nofollow" class="external text" href="https://www.britannica.com/science/lattice-constant">science/lattice-constant</a></span></li> <li><a href="/wiki/Store_norske_leksikon" title="Store norske leksikon">SNL</a>: <span class="uid"><a class="external text" href="https://wikidata-externalid-url.toolforge.org/?p=4342&url_prefix=https://snl.no/&id=gitterkonstant">gitterkonstant</a></span></li></ul> </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="">Źródło: „<a dir="ltr" href="https://pl.wikipedia.org/w/index.php?title=Stała_sieci_krystalicznej&oldid=69288774">https://pl.wikipedia.org/w/index.php?title=Stała_sieci_krystalicznej&oldid=69288774</a>”</div></div> <div id="catlinks" class="catlinks" data-mw="interface"><div id="mw-normal-catlinks" class="mw-normal-catlinks"><a href="/wiki/Specjalna:Kategorie" title="Specjalna:Kategorie">Kategoria</a>: <ul><li><a href="/wiki/Kategoria:Krystalografia" title="Kategoria:Krystalografia">Krystalografia</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"> Tę stronę ostatnio edytowano 10 sty 2023, 17:29.</li> <li id="footer-info-copyright">Tekst udostępniany na licencji <a rel="nofollow" class="external text" href="https://creativecommons.org/licenses/by-sa/4.0/deed.pl">Creative Commons: uznanie autorstwa, na tych samych warunkach</a>, z możliwością obowiązywania dodatkowych ograniczeń. 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