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Dit is echter niet verplicht." class=""><span>Account aanmaken</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=Speciaal:Aanmelden&returnto=Kubisch+vlakgecentreerd" title="U wordt van harte uitgenodigd om aan te melden, maar dit is niet verplicht [o]" accesskey="o" class=""><span>Aanmelden</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="Meer opties" > <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="Persoonlijke hulpmiddelen" > <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">Persoonlijke hulpmiddelen</span> </label> <div class="vector-dropdown-content"> <div id="p-personal" class="vector-menu mw-portlet mw-portlet-personal user-links-collapsible-item" title="Gebruikersmenu" > <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_nl.wikipedia.org&uselang=nl"><span>Doneren</span></a></li><li id="pt-createaccount" class="user-links-collapsible-item mw-list-item"><a href="/w/index.php?title=Speciaal:GebruikerAanmaken&returnto=Kubisch+vlakgecentreerd" title="Registreer u vooral en meld u aan. Dit is echter niet verplicht."><span class="vector-icon mw-ui-icon-userAdd mw-ui-icon-wikimedia-userAdd"></span> <span>Account aanmaken</span></a></li><li id="pt-login" class="user-links-collapsible-item mw-list-item"><a href="/w/index.php?title=Speciaal:Aanmelden&returnto=Kubisch+vlakgecentreerd" title="U wordt van harte uitgenodigd om aan te melden, maar dit is niet verplicht [o]" accesskey="o"><span class="vector-icon mw-ui-icon-logIn mw-ui-icon-wikimedia-logIn"></span> <span>Aanmelden</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"> Pagina's voor uitgelogde redacteuren <a href="/wiki/Help:Inleiding" aria-label="Meer leren over bewerken"><span>meer lezen</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/Speciaal:MijnBijdragen" title="Bijdragen IP-adres [y]" accesskey="y"><span>Bijdragen</span></a></li><li id="pt-anontalk" class="mw-list-item"><a href="/wiki/Speciaal:MijnOverleg" title="Overlegpagina van de anonieme gebruiker van dit IP-adres [n]" accesskey="n"><span>Overleg</span></a></li> </ul> </div> </div> </div> </div> </nav> </div> </header> </div> <div class="mw-page-container"> <div class="mw-page-container-inner"> <div class="vector-sitenotice-container"> <div id="siteNotice"></div> </div> <div class="vector-column-start"> <div class="vector-main-menu-container"> <div id="mw-navigation"> <nav id="mw-panel" class="vector-main-menu-landmark" aria-label="Site"> <div id="vector-main-menu-pinned-container" class="vector-pinned-container"> </div> </nav> </div> </div> <div class="vector-sticky-pinned-container"> <nav id="mw-panel-toc" aria-label="Inhoud" 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">Inhoud</h2> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-toc.pin">naar zijbalk verplaatsen</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-toc.unpin">verbergen</button> </div> <ul class="vector-toc-contents" id="mw-panel-toc-list"> <li id="toc-mw-content-text" class="vector-toc-list-item vector-toc-level-1"> <a href="#" class="vector-toc-link"> <div class="vector-toc-text">Top</div> </a> </li> <li id="toc-Eenheidscel" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Eenheidscel"> <div class="vector-toc-text"> <span class="vector-toc-numb">1</span> <span>Eenheidscel</span> </div> </a> <ul id="toc-Eenheidscel-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Kubisch_vlakgecentreerde_materialen" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Kubisch_vlakgecentreerde_materialen"> <div class="vector-toc-text"> <span class="vector-toc-numb">2</span> <span>Kubisch vlakgecentreerde materialen</span> </div> </a> <button aria-controls="toc-Kubisch_vlakgecentreerde_materialen-sublist" class="cdx-button cdx-button--weight-quiet cdx-button--icon-only vector-toc-toggle"> <span class="vector-icon mw-ui-icon-wikimedia-expand"></span> <span>Kubisch vlakgecentreerde materialen-subkopje inklappen</span> </button> <ul id="toc-Kubisch_vlakgecentreerde_materialen-sublist" class="vector-toc-list"> <li id="toc-Meer_atomen_per_eenheidscel" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Meer_atomen_per_eenheidscel"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.1</span> <span>Meer atomen per eenheidscel</span> </div> </a> <ul id="toc-Meer_atomen_per_eenheidscel-sublist" class="vector-toc-list"> </ul> </li> </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="Inhoud" 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="Inhoudsopgave omschakelen" > <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 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</div> <div id="siteSub" class="noprint">Uit Wikipedia, de vrije encyclopedie</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="nl" dir="ltr"><figure class="mw-default-size" typeof="mw:File/Thumb"><a href="/wiki/Bestand:Face-centered_cubic.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/1/1f/Face-centered_cubic.svg/260px-Face-centered_cubic.svg.png" decoding="async" width="260" height="242" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/1/1f/Face-centered_cubic.svg/390px-Face-centered_cubic.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/1/1f/Face-centered_cubic.svg/520px-Face-centered_cubic.svg.png 2x" data-file-width="145" data-file-height="135" /></a><figcaption>Kubisch vlakgecentreerde eenheidscel</figcaption></figure> <p>Een <a href="/wiki/Rooster_(wiskunde)" title="Rooster (wiskunde)">rooster</a> heet <b>kubisch vlakgecentreerd</b>, afgekort tot <b>kvg</b>, als de roosterpunten zich op de hoekpunten en in de middens van de zijvlakken van een <a href="/wiki/Kubus_(ruimtelijke_figuur)" title="Kubus (ruimtelijke figuur)">kubus</a> bevinden. Het is een van de veertien <a href="/wiki/Bravaistralie" title="Bravaistralie">bravaistralies</a>.<sup id="cite_ref-:0_1-0" class="reference"><a href="#cite_note-:0-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup><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><p>Als een rooster zich in de drie onafhankelijke richtingen herhaalt, zodat er een <a href="/wiki/Rooster_(wiskunde)" title="Rooster (wiskunde)">rooster</a> ontstaat en er op ieder roosterpunt een <a href="/wiki/Molecuul" title="Molecuul">molecuul</a>, <a href="/wiki/Ion_(deeltje)" title="Ion (deeltje)">ion</a> of atoom is ingevuld, ontstaat een <a href="/wiki/Kubisch_kristalstelsel" title="Kubisch kristalstelsel">kubisch kristalstelsel</a>. Bij het kubisch vlakgecentreerde rooster zijn ook de middens van de zijvlakken bezet. Het rooster dat door moleculen, ionen of atomen wordt gevormd, heet een <a href="/wiki/Kristalstructuur" title="Kristalstructuur">kristalrooster</a>. </p> <div class="mw-heading mw-heading2"><h2 id="Eenheidscel">Eenheidscel</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Kubisch_vlakgecentreerd&veaction=edit&section=1" title="Bewerk dit kopje: Eenheidscel" class="mw-editsection-visualeditor"><span>bewerken</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Kubisch_vlakgecentreerd&action=edit&section=1" title="De broncode bewerken van de sectie: Eenheidscel"><span>brontekst bewerken</span></a><span class="mw-editsection-bracket">]</span></span></div> <figure class="mw-default-size" typeof="mw:File/Thumb"><a href="/wiki/Bestand:Cubique_a_faces_centrees_atomes_par_maille.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/9/96/Cubique_a_faces_centrees_atomes_par_maille.svg/260px-Cubique_a_faces_centrees_atomes_par_maille.svg.png" decoding="async" width="260" height="270" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/9/96/Cubique_a_faces_centrees_atomes_par_maille.svg/390px-Cubique_a_faces_centrees_atomes_par_maille.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/9/96/Cubique_a_faces_centrees_atomes_par_maille.svg/520px-Cubique_a_faces_centrees_atomes_par_maille.svg.png 2x" data-file-width="156" data-file-height="162" /></a><figcaption>Eenheidscel van een kubisch vlakgecentreerd rooster</figcaption></figure> <p>Een <a href="/wiki/Eenheidscel" title="Eenheidscel">eenheidscel</a> is een deel van het kristalstelsel dat zich in dezelfde stand herhaalt in drie onafhankelijke richtingen. Wanneer er een rooster van eenheidscellen naast elkaar wordt gevormd, en er zich op ieder roosterpunt een <a href="/wiki/Molecuul" title="Molecuul">molecuul</a>, <a href="/wiki/Ion_(deeltje)" title="Ion (deeltje)">ion</a> of <a href="/wiki/Atoom" title="Atoom">atoom</a> bevindt, dan is het een <a href="/wiki/Kristalstructuur" title="Kristalstructuur">kristalrooster</a>. De moleculen, ionen of atomen op de hoeken zijn dezelfde, die in de middens van de zijvlakken ook, maar die op de hoekpunten en die in de middens mogen verschillend zijn van elkaar. Wanneer het om moleculen of samengestelde ionen gaat, liggen die steeds op dezelfde manier <a href="/wiki/Ori%C3%ABntatie_(stand)" title="Oriëntatie (stand)">georiënteerd</a>. De atomen of ionen zijn dan op de manier gerangschikt, zoals in de bovenste figuur is aangegeven. </p><p>Een kubisch vlakgecentreerde eenheidscel bevat in totaal vier roosterpunten:<sup id="cite_ref-:0_1-1" class="reference"><a href="#cite_note-:0-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup> </p> <ul><li>8 hoekpunten die elk voor 1/8 binnen het rooster vallen en</li> <li>6 punten in de middens van de zijvlakken die elk voor de helft binnen het rooster vallen.</li> <li><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 4=8\times {\tfrac {1}{8}}+6\times {\tfrac {1}{2}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>4</mn> <mo>=</mo> <mn>8</mn> <mo>×</mo> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="false" scriptlevel="0"> <mfrac> <mn>1</mn> <mn>8</mn> </mfrac> </mstyle> </mrow> <mo>+</mo> <mn>6</mn> <mo>×</mo> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="false" scriptlevel="0"> <mfrac> <mn>1</mn> <mn>2</mn> </mfrac> </mstyle> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 4=8\times {\tfrac {1}{8}}+6\times {\tfrac {1}{2}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ab0df965b2b6b2e3bb7d253ef43dfe134d5d6816" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.338ex; width:18.423ex; height:3.676ex;" alt="{\displaystyle 4=8\times {\tfrac {1}{8}}+6\times {\tfrac {1}{2}}}"></span></li></ul> <p>Het primitief kubisch kristalstelsel is een van de drie verschillende bravaistralies in het <a href="/wiki/Kubisch_kristalstelsel" title="Kubisch kristalstelsel">kubisch kristalstelsel</a>, de andere twee zijn het <a href="/wiki/Primitief_kubisch" title="Primitief kubisch">primitief kubische</a> en het <a href="/wiki/Kubisch_ruimtelijk_gecentreerd" title="Kubisch ruimtelijk gecentreerd">kubisch ruimtelijk gecentreerde</a> kristalstelsel. </p><p>De <a href="/wiki/Atomaire_pakkingsfactor#Kubisch_vlakgecentreerd_rooster" title="Atomaire pakkingsfactor">atomaire pakkingssfactor</a> <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 \eta _{\text{pk}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>η</mi> <mrow class="MJX-TeXAtom-ORD"> <mtext>pk</mtext> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \eta _{\text{pk}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/07a18395994fe995c7ce544de98d22d0bc66f514" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.005ex; width:3.17ex; height:2.343ex;" alt="{\displaystyle \eta _{\text{pk}}}"></span> van het kubisch vlakgecentreerde kristalrooster is ongeveer gelijk aan 0,74048.<sup id="cite_ref-:0_1-2" class="reference"><a href="#cite_note-:0-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading2"><h2 id="Kubisch_vlakgecentreerde_materialen">Kubisch vlakgecentreerde materialen</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Kubisch_vlakgecentreerd&veaction=edit&section=2" title="Bewerk dit kopje: Kubisch vlakgecentreerde materialen" class="mw-editsection-visualeditor"><span>bewerken</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Kubisch_vlakgecentreerd&action=edit&section=2" title="De broncode bewerken van de sectie: Kubisch vlakgecentreerde materialen"><span>brontekst bewerken</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Een aantal <a href="/wiki/Chemisch_element" title="Chemisch element">elementen</a> uit het <a href="/wiki/Periodiek_systeem" title="Periodiek systeem">periodiek systeem</a> hebben bij kamertemperatuur een kubisch vlakgecentreerd kristalrooster. Dit zijn <a href="/wiki/Neon_(element)" title="Neon (element)">neon</a>, <a href="/wiki/Aluminium" title="Aluminium">aluminium</a>, <a href="/wiki/Calcium" title="Calcium">calcium</a>, <a href="/wiki/Nikkel" title="Nikkel">nikkel</a>, <a href="/wiki/Koper_(element)" title="Koper (element)">koper</a>, <a href="/wiki/Zilver" title="Zilver">zilver</a>, <a href="/wiki/Platina" title="Platina">platina</a> en <a href="/wiki/Goud" title="Goud">goud</a>. </p> <div class="mw-heading mw-heading3"><h3 id="Meer_atomen_per_eenheidscel">Meer atomen per eenheidscel</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Kubisch_vlakgecentreerd&veaction=edit&section=3" title="Bewerk dit kopje: Meer atomen per eenheidscel" class="mw-editsection-visualeditor"><span>bewerken</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Kubisch_vlakgecentreerd&action=edit&section=3" title="De broncode bewerken van de sectie: Meer atomen per eenheidscel"><span>brontekst bewerken</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>De <a href="/wiki/Steenzoutstructuur" title="Steenzoutstructuur">steenzoutstructuur</a> is een voorbeeld van een kubisch vlakgecentreerd kristalrooster, hoewel het nog een <a href="/wiki/Atoom" title="Atoom">atoom</a> in het midden van de kubus heeft. <a href="/wiki/Natriumchloride" title="Natriumchloride">NaCl</a>, steen- of keukenzout, is hiervan een voorbeeld. Eén <a href="/wiki/Natrium" title="Natrium">natrium</a>- en een aanliggend <a href="/wiki/Chloride" title="Chloride">chloride-ion</a> worden in dit geval een structuureenheid van het rooster genoemd. Andere samenstellingen die de steenzoutstructuur hebben, zijn bijvoorbeeld <a href="/wiki/Kaliumchloride" title="Kaliumchloride">kaliumchloride</a> KCl, <a href="/wiki/Zilverbromide" title="Zilverbromide">zilverbromide</a> AgBr en <a href="/wiki/Mangaan(II)oxide" title="Mangaan(II)oxide">mangaan(II)oxide</a> MnO. </p><p>Een ander voorbeeld is <a href="/wiki/Zinksulfide" title="Zinksulfide">zinksulfide</a>, waarbij de structuureenheid bestaat uit een <a href="/wiki/Zink_(element)" title="Zink (element)">zink-ion</a> en een <a href="/wiki/Zwavel" title="Zwavel">zwavel-ion</a>. Op elk roosterpunt bevindt zich dan een zink-ion en op een afstand van (1/4, 1/4, 1/4) van ieder zinkion bevindt zich een zwavelion. De structuur die zo ontstaat, wordt ook wel de <a href="/wiki/Zinkblende" title="Zinkblende">zinkblendestructuur</a> genoemd. </p> <dl><dt>Kubisch vlakgecentreerde kristalstructuren</dt></dl> <ul class="gallery mw-gallery-traditional"> <li class="gallerybox" style="width: 155px"> <div class="thumb" style="width: 150px; height: 150px;"><span typeof="mw:File"><a href="/wiki/Bestand:Sodium_chloride_crystal.png" class="mw-file-description" title="Steenzoutstructuur"><img alt="Steenzoutstructuur" src="//upload.wikimedia.org/wikipedia/commons/thumb/e/eb/Sodium_chloride_crystal.png/120px-Sodium_chloride_crystal.png" decoding="async" width="120" height="109" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/e/eb/Sodium_chloride_crystal.png/180px-Sodium_chloride_crystal.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/e/eb/Sodium_chloride_crystal.png/240px-Sodium_chloride_crystal.png 2x" data-file-width="410" data-file-height="372" /></a></span></div> <div class="gallerytext"><a href="/wiki/Steenzoutstructuur" title="Steenzoutstructuur">Steenzoutstructuur</a></div> </li> <li class="gallerybox" style="width: 155px"> <div class="thumb" style="width: 150px; height: 150px;"><span typeof="mw:File"><a href="/wiki/Bestand:Sphalerite_polyhedra.png" class="mw-file-description" title="Zinkblendestructuur"><img alt="Zinkblendestructuur" src="//upload.wikimedia.org/wikipedia/commons/thumb/1/12/Sphalerite_polyhedra.png/120px-Sphalerite_polyhedra.png" decoding="async" width="120" height="80" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/1/12/Sphalerite_polyhedra.png/180px-Sphalerite_polyhedra.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/1/12/Sphalerite_polyhedra.png/240px-Sphalerite_polyhedra.png 2x" data-file-width="1417" data-file-height="945" /></a></span></div> <div class="gallerytext"><a href="/wiki/Zinkblende" title="Zinkblende">Zinkblendestructuur</a></div> </li> </ul> <div class="toccolours appendix" role="presentation" style="font-size:90%; margin:1em 0 -0.5em; clear:both;"> <div><span style="font-weight:bold">Bronnen, noten en/of referenties</span></div> <div class="reflist" style="list-style-type: decimal;"><div class="mw-references-wrap"><ol class="references"> <li id="cite_note-:0-1"><span class="mw-cite-backlink">↑ <a href="#cite_ref-:0_1-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-:0_1-1"><sup><i><b>b</b></i></sup></a> <a href="#cite_ref-:0_1-2"><sup><i><b>c</b></i></sup></a></span> <span class="reference-text"><span class="citation" id="CITEREF2014"><span style="font-variant:small-caps;">M.F. Ashby, Hugh Shercliff & David Cebon</span> (2014). <cite><i><a rel="nofollow" class="external text" href="https://www.worldcat.org/oclc/852806045">Materials: engineering, science, processing and design</a></i></cite>. Butterworth-Heinemann, Oxford. <span class="ISBN"><a href="/wiki/Speciaal:Boekbronnen/978-0-08-097773-7" title="Speciaal:Boekbronnen/978-0-08-097773-7">ISBN 978-0-08-097773-7</a></span>.</span></span> </li> <li id="cite_note-2"><span class="mw-cite-backlink"><a href="#cite_ref-2">↑</a></span> <span class="reference-text"><span class="citation" id="CITEREF2020"><span style="font-variant:small-caps;">William D. Callister & David G. Rethwisch</span> (2020). <cite><i><a rel="nofollow" class="external text" href="https://www.worldcat.org/oclc/1154204458">Materials science and engineering: an introduction</a></i></cite>, Hoboken, NJ. <span class="ISBN"><a href="/wiki/Speciaal:Boekbronnen/978-1-119-45391-8" title="Speciaal:Boekbronnen/978-1-119-45391-8">ISBN 978-1-119-45391-8</a></span>.</span></span> </li> </ol></div></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="">Overgenomen van "<a dir="ltr" href="https://nl.wikipedia.org/w/index.php?title=Kubisch_vlakgecentreerd&oldid=63595414">https://nl.wikipedia.org/w/index.php?title=Kubisch_vlakgecentreerd&oldid=63595414</a>"</div></div> <div id="catlinks" class="catlinks" data-mw="interface"><div id="mw-normal-catlinks" class="mw-normal-catlinks"><a href="/wiki/Categorie:Alles" title="Categorie:Alles">Categorie</a>: <ul><li><a href="/wiki/Categorie:Kristallografie" title="Categorie:Kristallografie">Kristallografie</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"> Deze pagina is voor het laatst bewerkt op 6 jan 2023 om 13:13.</li> <li id="footer-info-copyright">De tekst is beschikbaar onder de licentie <a rel="nofollow" class="external text" href="//creativecommons.org/licenses/by-sa/4.0/deed.nl">Creative Commons Naamsvermelding/Gelijk delen</a>, er kunnen aanvullende voorwaarden van toepassing zijn. 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