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</div> </div> </div> </nav> <h1 id="firstHeading" class="firstHeading mw-first-heading"><span class="mw-page-title-main">Lattice constant</span></h1> <div id="p-lang-btn" class="vector-dropdown mw-portlet mw-portlet-lang" > <input type="checkbox" id="p-lang-btn-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-p-lang-btn" class="vector-dropdown-checkbox mw-interlanguage-selector" aria-label="Go to an article in another language. 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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 – Bangla" lang="bn" hreflang="bn" data-title="ল্যাটিস ধ্রুবক" 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/Par%C3%A0metre_de_xarxa" title="Paràmetre de xarxa – Catalan" lang="ca" hreflang="ca" data-title="Paràmetre de xarxa" data-language-autonym="Català" data-language-local-name="Catalan" class="interlanguage-link-target"><span>Català</span></a></li><li class="interlanguage-link interwiki-cv mw-list-item"><a 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hreflang="lt" data-title="Gardelės konstanta" data-language-autonym="Lietuvių" data-language-local-name="Lithuanian" 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 – Dutch" lang="nl" hreflang="nl" data-title="Roosterconstante" data-language-autonym="Nederlands" data-language-local-name="Dutch" class="interlanguage-link-target"><span>Nederlands</span></a></li><li class="interlanguage-link interwiki-ja mw-list-item"><a href="https://ja.wikipedia.org/wiki/%E6%A0%BC%E5%AD%90%E5%AE%9A%E6%95%B0" title="格子定数 – Japanese" lang="ja" hreflang="ja" data-title="格子定数" data-language-autonym="日本語" data-language-local-name="Japanese" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-uz mw-list-item"><a href="https://uz.wikipedia.org/wiki/Kristall_panjara_davri" title="Kristall panjara davri – Uzbek" 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class="mw-body-content"><div class="mw-content-ltr mw-parser-output" lang="en" dir="ltr"><div class="shortdescription nomobile noexcerpt noprint searchaux" style="display:none">Physical dimensions of unit cells in a crystal</div> <figure class="mw-default-size mw-halign-right" typeof="mw:File/Thumb"><a href="/wiki/File:UnitCell.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/5/5e/UnitCell.png/290px-UnitCell.png" decoding="async" width="290" height="211" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/5/5e/UnitCell.png/435px-UnitCell.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/5/5e/UnitCell.png/580px-UnitCell.png 2x" data-file-width="1155" data-file-height="842" /></a><figcaption>Unit cell definition using <a href="/wiki/Parallelepiped" title="Parallelepiped">parallelepiped</a> with lengths <i>a</i>, <i>b</i>, <i>c</i> and angles between the sides given by <i>α</i>, <i>β</i>, <i>γ</i><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></figcaption></figure> <p>A <b>lattice constant</b> or <b>lattice parameter</b> is one of the physical dimensions and angles that determine the geometry of the <a href="/wiki/Unit_cell" title="Unit cell">unit cells</a> in a <a href="/wiki/Crystal_lattice" class="mw-redirect" title="Crystal lattice">crystal lattice</a>, and is proportional to the distance between atoms in the crystal. A <a href="/wiki/Simple_cubic" class="mw-redirect" title="Simple cubic">simple cubic</a> crystal has only one lattice constant, the distance between atoms, but in general lattices in three dimensions have six lattice constants: the lengths <i>a</i>, <i>b</i>, and <i>c</i> of the three cell edges meeting at a vertex, and the angles <i>α</i>, <i>β</i>, and <i>γ</i> between those edges. </p><p>The crystal lattice parameters <i>a</i>, <i>b</i>, and <i>c</i> have the dimension of length. The three numbers represent the size of the <a href="/wiki/Unit_cell" title="Unit cell">unit cell</a>, that is, the distance from a given atom to an identical atom in the same position and orientation in a neighboring cell (except for very simple crystal structures, this will not necessarily be distance to the nearest neighbor). Their <a href="/wiki/SI_unit" class="mw-redirect" title="SI unit">SI unit</a> is the <a href="/wiki/Meter" class="mw-redirect" title="Meter">meter</a>, and they are traditionally specified in <a href="/wiki/Angstrom" title="Angstrom">angstroms</a> (Å); an angstrom being 0.1 <a href="/wiki/Nanometre" title="Nanometre">nanometer</a> (nm), or 100 <a href="/wiki/Picometre" title="Picometre">picometres</a> (pm). Typical values start at a few angstroms. The angles <i>α</i>, <i>β</i>, and <i>γ</i> are usually specified in <a href="/wiki/Degree_(angle)" title="Degree (angle)">degrees</a>. </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="Introduction">Introduction</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Lattice_constant&action=edit&section=1" title="Edit section: Introduction"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>A <a href="/wiki/Chemical_substance" title="Chemical substance">chemical substance</a> in the solid state may form <a href="/wiki/Crystal" title="Crystal">crystals</a> in which the <a href="/wiki/Atom" title="Atom">atoms</a>, <a href="/wiki/Molecule" title="Molecule">molecules</a>, or <a href="/wiki/Ion" title="Ion">ions</a> are arranged in space according to one of a small finite number of possible <a href="/wiki/Crystal_system" title="Crystal system">crystal systems</a> (lattice types), each with fairly well defined set of lattice parameters that are characteristic of the substance. These parameters typically depend on the <a href="/wiki/Temperature" title="Temperature">temperature</a>, <a href="/wiki/Pressure" title="Pressure">pressure</a> (or, more generally, the local state of <a href="/wiki/Stress_(mechanics)" title="Stress (mechanics)">mechanical stress</a> within the crystal),<sup id="cite_ref-colm2019_2-0" class="reference"><a href="#cite_note-colm2019-2"><span class="cite-bracket">[</span>2<span class="cite-bracket">]</span></a></sup> <a href="/wiki/Electric_field" title="Electric field">electric</a> and <a href="/wiki/Magnetic_field" title="Magnetic field">magnetic fields</a>, and its <a href="/wiki/Isotope" title="Isotope">isotopic</a> composition.<sup id="cite_ref-tell1971_3-0" class="reference"><a href="#cite_note-tell1971-3"><span class="cite-bracket">[</span>3<span class="cite-bracket">]</span></a></sup> The lattice is usually distorted near impurities, <a href="/wiki/Crystal_defect" class="mw-redirect" title="Crystal defect">crystal defects</a>, and the crystal's surface. Parameter values quoted in manuals should specify those environment variables, and are usually averages affected by measurement errors. </p><p>Depending on the crystal system, some or all of the lengths may be equal, and some of the angles may have fixed values. In those systems, only some of the six parameters need to be specified. For example, in the <a href="/wiki/Cubic_crystal_system" title="Cubic crystal system">cubic system</a>, all of the lengths are equal and all the angles are 90°, so only the <i>a</i> length needs to be given. This is the case of <a href="/wiki/Diamond" title="Diamond">diamond</a>, which has <span class="nowrap"><i>a</i> = 3.57 <a href="/wiki/Angstrom" title="Angstrom">Å</a> = 357 <a href="/wiki/Picometre" title="Picometre">pm</a></span> at 300 <a href="/wiki/Kelvin" title="Kelvin">K</a>. Similarly, in <a href="/wiki/Hexagonal_crystal_system" class="mw-redirect" title="Hexagonal crystal system">hexagonal system</a>, the <i>a</i> and <i>b</i> constants are equal, and the angles are 60°, 90°, and 90°, so the geometry is determined by the <i>a</i> and <i>c</i> constants alone. </p><p>The lattice parameters of a crystalline substance can be determined using techniques such as <a href="/wiki/X-ray_diffraction" title="X-ray diffraction">X-ray diffraction</a> or with an <a href="/wiki/Atomic_force_microscope" class="mw-redirect" title="Atomic force microscope">atomic force microscope</a>. They can be used as a natural length standard of nanometer range.<sup id="cite_ref-automatic1998_4-0" class="reference"><a href="#cite_note-automatic1998-4"><span class="cite-bracket">[</span>4<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-real2019_5-0" class="reference"><a href="#cite_note-real2019-5"><span class="cite-bracket">[</span>5<span class="cite-bracket">]</span></a></sup> In the <a href="/wiki/Epitaxy" title="Epitaxy">epitaxial growth</a> of a crystal layer over a substrate of different composition, the lattice parameters must be matched in order to reduce strain and crystal defects. </p> <div class="mw-heading mw-heading2"><h2 id="Volume">Volume</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Lattice_constant&action=edit&section=2" title="Edit section: Volume"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>The volume of the unit cell can be calculated from the lattice constant lengths and angles. If the unit cell sides are represented as vectors, then the volume is the <a href="/wiki/Triple_product#Scalar_triple_product" title="Triple product">scalar triple product</a> of the vectors. The volume is represented by the letter <i>V</i>. For the general unit cell </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 V=abc{\sqrt {1+2\cos \alpha \cos \beta \cos \gamma -\cos ^{2}\alpha -\cos ^{2}\beta -\cos ^{2}\gamma }}.}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>V</mi> <mo>=</mo> <mi>a</mi> <mi>b</mi> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mn>1</mn> <mo>+</mo> <mn>2</mn> <mi>cos</mi> <mo>⁡</mo> <mi>α</mi> <mi>cos</mi> <mo>⁡</mo> <mi>β</mi> <mi>cos</mi> <mo>⁡</mo> <mi>γ</mi> <mo>−</mo> <msup> <mi>cos</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>⁡</mo> <mi>α</mi> <mo>−</mo> <msup> <mi>cos</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>⁡</mo> <mi>β</mi> <mo>−</mo> <msup> <mi>cos</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>⁡</mo> <mi>γ</mi> </msqrt> </mrow> <mo>.</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle V=abc{\sqrt {1+2\cos \alpha \cos \beta \cos \gamma -\cos ^{2}\alpha -\cos ^{2}\beta -\cos ^{2}\gamma }}.}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/1d092fc5b13d385ee1024e323f7c017d75a4b007" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.671ex; width:58.254ex; height:4.843ex;" alt="{\displaystyle V=abc{\sqrt {1+2\cos \alpha \cos \beta \cos \gamma -\cos ^{2}\alpha -\cos ^{2}\beta -\cos ^{2}\gamma }}.}"></span></dd></dl> <p>For monoclinic lattices with <span class="nowrap"><i>α</i> = 90°</span>, <span class="nowrap"><i>γ</i> = 90°</span>, this simplifies to </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 V=abc\sin \beta .}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>V</mi> <mo>=</mo> <mi>a</mi> <mi>b</mi> <mi>c</mi> <mi>sin</mi> <mo>⁡</mo> <mi>β</mi> <mo>.</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle V=abc\sin \beta .}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/23cf369b9d88338665897516fb6ae6275b9b8860" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:13.729ex; height:2.509ex;" alt="{\displaystyle V=abc\sin \beta .}"></span></dd></dl> <p>For orthorhombic, tetragonal and cubic lattices with <span class="nowrap"><i>β</i> = 90°</span> as well, then<sup id="cite_ref-6" class="reference"><a href="#cite_note-6"><span class="cite-bracket">[</span>6<span class="cite-bracket">]</span></a></sup> </p> <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=abc.}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>V</mi> <mo>=</mo> <mi>a</mi> <mi>b</mi> <mi>c</mi> <mo>.</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle V=abc.}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/78f8e72cd00cb748d8c4a3132106015b1d212110" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:8.767ex; height:2.176ex;" alt="{\displaystyle V=abc.}"></span></dd></dl> <div class="mw-heading mw-heading2"><h2 id="Lattice_matching">Lattice matching</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Lattice_constant&action=edit&section=3" title="Edit section: Lattice matching"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Matching of lattice structures between two different <a href="/wiki/Semiconductor_material" class="mw-redirect" title="Semiconductor material">semiconductor materials</a> allows a region of <a href="/wiki/Band_gap" title="Band gap">band gap</a> change to be formed in a material without introducing a change in crystal structure. This allows construction of advanced <a href="/wiki/Light-emitting_diode" title="Light-emitting diode">light-emitting diodes</a> and <a href="/wiki/Diode_laser" class="mw-redirect" title="Diode laser">diode lasers</a>. </p><p>For example, <a href="/wiki/Gallium_arsenide" title="Gallium arsenide">gallium arsenide</a>, <a href="/wiki/Aluminium_gallium_arsenide" title="Aluminium gallium arsenide">aluminium gallium arsenide</a>, and <a href="/wiki/Aluminium_arsenide" title="Aluminium arsenide">aluminium arsenide</a> have almost equal lattice constants, making it possible to grow almost arbitrarily thick layers of one on the other one. </p> <div class="mw-heading mw-heading2"><h2 id="Lattice_grading">Lattice grading</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Lattice_constant&action=edit&section=4" title="Edit section: Lattice grading"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Typically, films of different materials grown on the previous film or substrate are chosen to match the lattice constant of the prior layer to minimize film stress. </p><p>An alternative method is to grade the lattice constant from one value to another by a controlled altering of the alloy ratio during film growth. The beginning of the grading layer will have a ratio to match the underlying lattice and the alloy at the end of the layer growth will match the desired final lattice for the following layer to be deposited. </p><p>The rate of change in the alloy must be determined by weighing the penalty of layer strain, and hence defect density, against the cost of the time in the epitaxy tool. </p><p>For example, <a href="/wiki/Indium_gallium_phosphide" title="Indium gallium phosphide">indium gallium phosphide</a> layers with a <a href="/wiki/Band_gap" title="Band gap">band gap</a> above 1.9 eV can be grown on <a href="/wiki/Gallium_arsenide" title="Gallium arsenide">gallium arsenide</a> <a href="/wiki/Wafer_(semiconductor)" class="mw-redirect" title="Wafer (semiconductor)">wafers</a> with index grading. </p> <div class="mw-heading mw-heading2"><h2 id="List_of_lattice_constants">List of lattice constants</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Lattice_constant&action=edit&section=5" title="Edit section: List of lattice constants"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <table class="wikitable"> <caption>Lattice constants for various materials at 300 K </caption> <tbody><tr> <th>Material</th> <th>Lattice constant (Å)</th> <th><a href="/wiki/Crystal_structure" title="Crystal structure">Crystal structure</a></th> <th>Ref. </th></tr> <tr> <td>C (<a href="/wiki/Diamond" title="Diamond">diamond</a>)</td> <td>3.567</td> <td><a href="/wiki/Diamond_cubic" title="Diamond cubic">Diamond (FCC)</a></td> <td><sup id="cite_ref-APS_7-0" class="reference"><a href="#cite_note-APS-7"><span class="cite-bracket">[</span>7<span class="cite-bracket">]</span></a></sup> </td></tr> <tr> <td>C (<a href="/wiki/Graphite" title="Graphite">graphite</a>)</td> <td><i>a</i> = 2.461<br /><i>c</i> = 6.708</td> <td><a href="/wiki/Hexagonal_crystal_family" title="Hexagonal crystal family">Hexagonal</a></td> <td> </td></tr> <tr> <td><a href="/wiki/Silicon" title="Silicon">Si</a></td> <td>5.431020511</td> <td>Diamond (FCC)</td> <td><sup id="cite_ref-Ioffe_8-0" class="reference"><a href="#cite_note-Ioffe-8"><span class="cite-bracket">[</span>8<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-nist_9-0" class="reference"><a href="#cite_note-nist-9"><span class="cite-bracket">[</span>9<span class="cite-bracket">]</span></a></sup> </td></tr> <tr> <td><a href="/wiki/Germanium" title="Germanium">Ge</a></td> <td>5.658</td> <td>Diamond (FCC)</td> <td><sup id="cite_ref-Ioffe_8-1" class="reference"><a href="#cite_note-Ioffe-8"><span class="cite-bracket">[</span>8<span class="cite-bracket">]</span></a></sup> </td></tr> <tr> <td><a href="/wiki/Aluminium_arsenide" title="Aluminium arsenide">AlAs</a></td> <td>5.6605</td> <td><a href="/wiki/Cubic_crystal_system#Zincblende_structure" title="Cubic crystal system">Zinc blende (FCC)</a></td> <td><sup id="cite_ref-Ioffe_8-2" class="reference"><a href="#cite_note-Ioffe-8"><span class="cite-bracket">[</span>8<span class="cite-bracket">]</span></a></sup> </td></tr> <tr> <td><a href="/wiki/Aluminium_phosphide" title="Aluminium phosphide">AlP</a></td> <td>5.4510</td> <td>Zinc blende (FCC)</td> <td><sup id="cite_ref-Ioffe_8-3" class="reference"><a href="#cite_note-Ioffe-8"><span class="cite-bracket">[</span>8<span class="cite-bracket">]</span></a></sup> </td></tr> <tr> <td><a href="/wiki/Aluminium_antimonide" title="Aluminium antimonide">AlSb</a></td> <td>6.1355</td> <td>Zinc blende (FCC)</td> <td><sup id="cite_ref-Ioffe_8-4" class="reference"><a href="#cite_note-Ioffe-8"><span class="cite-bracket">[</span>8<span class="cite-bracket">]</span></a></sup> </td></tr> <tr> <td><a href="/wiki/Gallium_phosphide" title="Gallium phosphide">GaP</a></td> <td>5.4505</td> <td>Zinc blende (FCC)</td> <td><sup id="cite_ref-Ioffe_8-5" class="reference"><a href="#cite_note-Ioffe-8"><span class="cite-bracket">[</span>8<span class="cite-bracket">]</span></a></sup> </td></tr> <tr> <td><a href="/wiki/Gallium_arsenide" title="Gallium arsenide">GaAs</a></td> <td>5.653</td> <td>Zinc blende (FCC)</td> <td><sup id="cite_ref-Ioffe_8-6" class="reference"><a href="#cite_note-Ioffe-8"><span class="cite-bracket">[</span>8<span class="cite-bracket">]</span></a></sup> </td></tr> <tr> <td><a href="/wiki/Gallium_antimonide" title="Gallium antimonide">GaSb</a></td> <td>6.0959</td> <td>Zinc blende (FCC)</td> <td><sup id="cite_ref-Ioffe_8-7" class="reference"><a href="#cite_note-Ioffe-8"><span class="cite-bracket">[</span>8<span class="cite-bracket">]</span></a></sup> </td></tr> <tr> <td><a href="/wiki/Indium_phosphide" title="Indium phosphide">InP</a></td> <td>5.869</td> <td>Zinc blende (FCC)</td> <td><sup id="cite_ref-Ioffe_8-8" class="reference"><a href="#cite_note-Ioffe-8"><span class="cite-bracket">[</span>8<span class="cite-bracket">]</span></a></sup> </td></tr> <tr> <td><a href="/wiki/Indium_arsenide" title="Indium arsenide">InAs</a></td> <td>6.0583</td> <td>Zinc blende (FCC)</td> <td><sup id="cite_ref-Ioffe_8-9" class="reference"><a href="#cite_note-Ioffe-8"><span class="cite-bracket">[</span>8<span class="cite-bracket">]</span></a></sup> </td></tr> <tr> <td><a href="/wiki/Indium_antimonide" title="Indium antimonide">InSb</a></td> <td>6.479</td> <td>Zinc blende (FCC)</td> <td><sup id="cite_ref-Ioffe_8-10" class="reference"><a href="#cite_note-Ioffe-8"><span class="cite-bracket">[</span>8<span class="cite-bracket">]</span></a></sup> </td></tr> <tr> <td><a href="/wiki/Magnesium_oxide" title="Magnesium oxide">MgO</a></td> <td>4.212</td> <td><a href="/wiki/Cubic_crystal_system#Rock-salt_structure" title="Cubic crystal system">Halite</a> (FCC)</td> <td><sup id="cite_ref-10" class="reference"><a href="#cite_note-10"><span class="cite-bracket">[</span>10<span class="cite-bracket">]</span></a></sup> </td></tr> <tr> <td><a href="/wiki/Silicon_carbide" title="Silicon carbide">SiC</a></td> <td><i>a</i> = 3.086<br /><i>c</i> = 10.053</td> <td><a href="/wiki/Wurtzite" title="Wurtzite">Wurtzite</a></td> <td><sup id="cite_ref-Ioffe_8-11" class="reference"><a href="#cite_note-Ioffe-8"><span class="cite-bracket">[</span>8<span class="cite-bracket">]</span></a></sup> </td></tr> <tr> <td><a href="/wiki/Cadmium_sulfide" title="Cadmium sulfide">CdS</a></td> <td>5.8320</td> <td>Zinc blende (FCC)</td> <td><sup id="cite_ref-APS_7-1" class="reference"><a href="#cite_note-APS-7"><span class="cite-bracket">[</span>7<span class="cite-bracket">]</span></a></sup> </td></tr> <tr> <td><a href="/wiki/Cadmium_selenide" title="Cadmium selenide">CdSe</a></td> <td>6.050</td> <td>Zinc blende (FCC)</td> <td><sup id="cite_ref-APS_7-2" class="reference"><a href="#cite_note-APS-7"><span class="cite-bracket">[</span>7<span class="cite-bracket">]</span></a></sup> </td></tr> <tr> <td><a href="/wiki/Cadmium_telluride" title="Cadmium telluride">CdTe</a></td> <td>6.482</td> <td>Zinc blende (FCC)</td> <td><sup id="cite_ref-APS_7-3" class="reference"><a href="#cite_note-APS-7"><span class="cite-bracket">[</span>7<span class="cite-bracket">]</span></a></sup> </td></tr> <tr> <td><a href="/wiki/Zinc_oxide" title="Zinc oxide">ZnO</a></td> <td><i>a</i> = 3.25<br /><i>c</i> = 5.2</td> <td>Wurtzite (HCP)</td> <td><sup id="cite_ref-Hadis_11-0" class="reference"><a href="#cite_note-Hadis-11"><span class="cite-bracket">[</span>11<span class="cite-bracket">]</span></a></sup> </td></tr> <tr> <td><a href="/wiki/Zinc_oxide" title="Zinc oxide">ZnO</a></td> <td>4.580</td> <td>Halite (FCC)</td> <td><sup id="cite_ref-APS_7-4" class="reference"><a href="#cite_note-APS-7"><span class="cite-bracket">[</span>7<span class="cite-bracket">]</span></a></sup> </td></tr> <tr> <td><a href="/wiki/Zinc_sulfide" title="Zinc sulfide">ZnS</a></td> <td>5.420</td> <td>Zinc blende (FCC)</td> <td><sup id="cite_ref-APS_7-5" class="reference"><a href="#cite_note-APS-7"><span class="cite-bracket">[</span>7<span class="cite-bracket">]</span></a></sup> </td></tr> <tr> <td><a href="/wiki/Lead(II)_sulfide" title="Lead(II) sulfide">PbS</a></td> <td>5.9362</td> <td>Halite (FCC)</td> <td><sup id="cite_ref-APS_7-6" class="reference"><a href="#cite_note-APS-7"><span class="cite-bracket">[</span>7<span class="cite-bracket">]</span></a></sup> </td></tr> <tr> <td><a href="/wiki/Lead(II)_telluride" class="mw-redirect" title="Lead(II) telluride">PbTe</a></td> <td>6.4620</td> <td>Halite (FCC)</td> <td><sup id="cite_ref-APS_7-7" class="reference"><a href="#cite_note-APS-7"><span class="cite-bracket">[</span>7<span class="cite-bracket">]</span></a></sup> </td></tr> <tr> <td><a href="/wiki/Boron_nitride" title="Boron nitride">BN</a></td> <td>3.6150</td> <td>Zinc blende (FCC)</td> <td><sup id="cite_ref-APS_7-8" class="reference"><a href="#cite_note-APS-7"><span class="cite-bracket">[</span>7<span class="cite-bracket">]</span></a></sup> </td></tr> <tr> <td><a href="/wiki/Boron_phosphide" title="Boron phosphide">BP</a></td> <td>4.5380</td> <td>Zinc blende (FCC)</td> <td><sup id="cite_ref-APS_7-9" class="reference"><a href="#cite_note-APS-7"><span class="cite-bracket">[</span>7<span class="cite-bracket">]</span></a></sup> </td></tr> <tr> <td><a href="/wiki/Cadmium_sulfide" title="Cadmium sulfide">CdS</a></td> <td><i>a</i> = 4.160<br /><i>c</i> = 6.756</td> <td>Wurtzite</td> <td><sup id="cite_ref-APS_7-10" class="reference"><a href="#cite_note-APS-7"><span class="cite-bracket">[</span>7<span class="cite-bracket">]</span></a></sup> </td></tr> <tr> <td><a href="/wiki/Zinc_sulfide" title="Zinc sulfide">ZnS</a></td> <td><i>a</i> = 3.82<br /><i>c</i> = 6.26</td> <td>Wurtzite</td> <td><sup id="cite_ref-APS_7-11" class="reference"><a href="#cite_note-APS-7"><span class="cite-bracket">[</span>7<span class="cite-bracket">]</span></a></sup> </td></tr> <tr> <td><a href="/wiki/Aluminium_nitride" title="Aluminium nitride">AlN</a></td> <td><i>a</i> = 3.112<br /><i>c</i> = 4.982</td> <td>Wurtzite</td> <td><sup id="cite_ref-Ioffe_8-12" class="reference"><a href="#cite_note-Ioffe-8"><span class="cite-bracket">[</span>8<span class="cite-bracket">]</span></a></sup> </td></tr> <tr> <td><a href="/wiki/Gallium_nitride" title="Gallium nitride">GaN</a></td> <td><i>a</i> = 3.189<br /><i>c</i> = 5.185</td> <td>Wurtzite</td> <td><sup id="cite_ref-Ioffe_8-13" class="reference"><a href="#cite_note-Ioffe-8"><span class="cite-bracket">[</span>8<span class="cite-bracket">]</span></a></sup> </td></tr> <tr> <td><a href="/wiki/Indium_nitride" title="Indium nitride">InN</a></td> <td><i>a</i> = 3.533<br /><i>c</i> = 5.693</td> <td>Wurtzite</td> <td><sup id="cite_ref-Ioffe_8-14" class="reference"><a href="#cite_note-Ioffe-8"><span class="cite-bracket">[</span>8<span class="cite-bracket">]</span></a></sup> </td></tr> <tr> <td><a href="/wiki/Lithium_fluoride" title="Lithium fluoride">LiF</a></td> <td>4.03</td> <td>Halite</td> <td> </td></tr> <tr> <td><a href="/wiki/Lithium_chloride" title="Lithium chloride">LiCl</a></td> <td>5.14</td> <td>Halite</td> <td> </td></tr> <tr> <td><a href="/wiki/Lithium_bromide" title="Lithium bromide">LiBr</a></td> <td>5.50</td> <td>Halite</td> <td> </td></tr> <tr> <td><a href="/wiki/Lithium_iodide" title="Lithium iodide">LiI</a></td> <td>6.01</td> <td>Halite</td> <td> </td></tr> <tr> <td><a href="/wiki/Sodium_fluoride" title="Sodium fluoride">NaF</a></td> <td>4.63</td> <td>Halite</td> <td> </td></tr> <tr> <td><a href="/wiki/Sodium_chloride" title="Sodium chloride">NaCl</a></td> <td>5.64</td> <td>Halite</td> <td> </td></tr> <tr> <td><a href="/wiki/Sodium_bromide" title="Sodium bromide">NaBr</a></td> <td>5.97</td> <td>Halite</td> <td> </td></tr> <tr> <td><a href="/wiki/Sodium_iodide" title="Sodium iodide">NaI</a></td> <td>6.47</td> <td>Halite</td> <td> </td></tr> <tr> <td><a href="/wiki/Potassium_fluoride" title="Potassium fluoride">KF</a></td> <td>5.34</td> <td>Halite</td> <td> </td></tr> <tr> <td><a href="/wiki/Potassium_chloride" title="Potassium chloride">KCl</a></td> <td>6.29</td> <td>Halite</td> <td> </td></tr> <tr> <td><a href="/wiki/Potassium_bromide" title="Potassium bromide">KBr</a></td> <td>6.60</td> <td>Halite</td> <td> </td></tr> <tr> <td><a href="/wiki/Potassium_iodide" title="Potassium iodide">KI</a></td> <td>7.07</td> <td>Halite</td> <td> </td></tr> <tr> <td><a href="/wiki/Rubidium_fluoride" title="Rubidium fluoride">RbF</a></td> <td>5.65</td> <td>Halite</td> <td> </td></tr> <tr> <td><a href="/wiki/Rubidium_chloride" title="Rubidium chloride">RbCl</a></td> <td>6.59</td> <td>Halite</td> <td> </td></tr> <tr> <td><a href="/wiki/Rubidium_bromide" title="Rubidium bromide">RbBr</a></td> <td>6.89</td> <td>Halite</td> <td> </td></tr> <tr> <td><a href="/wiki/Rubidium_iodide" title="Rubidium iodide">RbI</a></td> <td>7.35</td> <td>Halite</td> <td> </td></tr> <tr> <td><a href="/wiki/Caesium_fluoride" title="Caesium fluoride">CsF</a></td> <td>6.02</td> <td>Halite</td> <td> </td></tr> <tr> <td><a href="/wiki/Caesium_chloride" title="Caesium chloride">CsCl</a></td> <td>4.123</td> <td><a href="/wiki/Cubic_crystal_system#Caesium_chloride_structure" title="Cubic crystal system">Caesium chloride</a></td> <td> </td></tr> <tr> <td><a href="/wiki/Caesium_bromide" title="Caesium bromide">CsBr</a></td> <td>4.291</td> <td>Caesium chloride</td> <td> </td></tr> <tr> <td><a href="/wiki/Caesium_iodide" title="Caesium iodide">CsI</a></td> <td>4.567</td> <td>Caesium chloride</td> <td> </td></tr> <tr> <td><a href="/wiki/Aluminium" title="Aluminium">Al</a></td> <td>4.046</td> <td>FCC</td> <td><sup id="cite_ref-Davey_12-0" class="reference"><a href="#cite_note-Davey-12"><span class="cite-bracket">[</span>12<span class="cite-bracket">]</span></a></sup> </td></tr> <tr> <td><a href="/wiki/Iron" title="Iron">Fe</a></td> <td>2.856</td> <td>BCC</td> <td><sup id="cite_ref-Davey_12-1" class="reference"><a href="#cite_note-Davey-12"><span class="cite-bracket">[</span>12<span class="cite-bracket">]</span></a></sup> </td></tr> <tr> <td><a href="/wiki/Nickel" title="Nickel">Ni</a></td> <td>3.499</td> <td>FCC</td> <td><sup id="cite_ref-Davey_12-2" class="reference"><a href="#cite_note-Davey-12"><span class="cite-bracket">[</span>12<span class="cite-bracket">]</span></a></sup> </td></tr> <tr> <td><a href="/wiki/Copper" title="Copper">Cu</a></td> <td>3.597</td> <td>FCC</td> <td><sup id="cite_ref-Davey_12-3" class="reference"><a href="#cite_note-Davey-12"><span class="cite-bracket">[</span>12<span class="cite-bracket">]</span></a></sup> </td></tr> <tr> <td><a href="/wiki/Molybdenum" title="Molybdenum">Mo</a></td> <td>3.142</td> <td>BCC</td> <td><sup id="cite_ref-Davey_12-4" class="reference"><a href="#cite_note-Davey-12"><span class="cite-bracket">[</span>12<span class="cite-bracket">]</span></a></sup> </td></tr> <tr> <td><a href="/wiki/Palladium" title="Palladium">Pd</a></td> <td>3.859</td> <td>FCC</td> <td><sup id="cite_ref-Davey_12-5" class="reference"><a href="#cite_note-Davey-12"><span class="cite-bracket">[</span>12<span class="cite-bracket">]</span></a></sup> </td></tr> <tr> <td><a href="/wiki/Silver" title="Silver">Ag</a></td> <td>4.079</td> <td>FCC</td> <td><sup id="cite_ref-Davey_12-6" class="reference"><a href="#cite_note-Davey-12"><span class="cite-bracket">[</span>12<span class="cite-bracket">]</span></a></sup> </td></tr> <tr> <td><a href="/wiki/Tungsten" title="Tungsten">W</a></td> <td>3.155</td> <td>BCC</td> <td><sup id="cite_ref-Davey_12-7" class="reference"><a href="#cite_note-Davey-12"><span class="cite-bracket">[</span>12<span class="cite-bracket">]</span></a></sup> </td></tr> <tr> <td><a href="/wiki/Platinum" title="Platinum">Pt</a></td> <td>3.912</td> <td>FCC</td> <td><sup id="cite_ref-Davey_12-8" class="reference"><a href="#cite_note-Davey-12"><span class="cite-bracket">[</span>12<span class="cite-bracket">]</span></a></sup> </td></tr> <tr> <td><a href="/wiki/Gold" title="Gold">Au</a></td> <td>4.065</td> <td>FCC</td> <td><sup id="cite_ref-Davey_12-9" class="reference"><a href="#cite_note-Davey-12"><span class="cite-bracket">[</span>12<span class="cite-bracket">]</span></a></sup> </td></tr> <tr> <td><a href="/wiki/Lead" title="Lead">Pb</a></td> <td>4.920</td> <td>FCC</td> <td><sup id="cite_ref-Davey_12-10" class="reference"><a href="#cite_note-Davey-12"><span class="cite-bracket">[</span>12<span class="cite-bracket">]</span></a></sup> </td></tr> <tr> <td><a href="/wiki/Vanadium" title="Vanadium">V</a> </td> <td>3.0399 </td> <td>BCC </td> <td> </td></tr> <tr> <td><a href="/wiki/Niobium" title="Niobium">Nb</a> </td> <td>3.3008 </td> <td>BCC </td> <td> </td></tr> <tr> <td><a href="/wiki/Tantalum" title="Tantalum">Ta</a> </td> <td>3.3058 </td> <td>BCC </td> <td> </td></tr> <tr> <td><a href="/wiki/Titanium_nitride" title="Titanium nitride">TiN</a></td> <td>4.249</td> <td>Halite</td> <td> </td></tr> <tr> <td><a href="/wiki/Zirconium_nitride" title="Zirconium nitride">ZrN</a></td> <td>4.577</td> <td>Halite</td> <td> </td></tr> <tr> <td><a href="/w/index.php?title=Hafnium_nitride&action=edit&redlink=1" class="new" title="Hafnium nitride (page does not exist)">HfN</a></td> <td>4.392</td> <td>Halite</td> <td> </td></tr> <tr> <td><a href="/wiki/Vanadium_nitride" title="Vanadium nitride">VN</a></td> <td>4.136</td> <td>Halite</td> <td> </td></tr> <tr> <td><a href="/wiki/Chromium_nitride" title="Chromium nitride">CrN</a></td> <td>4.149</td> <td>Halite</td> <td> </td></tr> <tr> <td><a href="/wiki/Niobium_nitride" title="Niobium nitride">NbN</a></td> <td>4.392</td> <td>Halite</td> <td> </td></tr> <tr> <td><a href="/wiki/Titanium_carbide" title="Titanium carbide">TiC</a></td> <td>4.328</td> <td>Halite</td> <td><sup id="cite_ref-Toth_13-0" class="reference"><a href="#cite_note-Toth-13"><span class="cite-bracket">[</span>13<span class="cite-bracket">]</span></a></sup> </td></tr> <tr> <td><a href="/wiki/Zirconium_carbide" title="Zirconium carbide"><style data-mw-deduplicate="TemplateStyles:r1123817410">'"`UNIQ--templatestyles-00000034-QINU`"'</style><span class="chemf nowrap">ZrC<sub class="template-chem2-sub">0.97</sub></span></a></td> <td>4.698</td> <td>Halite</td> <td><sup id="cite_ref-Toth_13-1" class="reference"><a href="#cite_note-Toth-13"><span class="cite-bracket">[</span>13<span class="cite-bracket">]</span></a></sup> </td></tr> <tr> <td><a href="/wiki/Hafnium_carbide" title="Hafnium carbide"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1123817410"><span class="chemf nowrap">HfC<sub class="template-chem2-sub">0.99</sub></span></a></td> <td>4.640</td> <td>Halite</td> <td><sup id="cite_ref-Toth_13-2" class="reference"><a href="#cite_note-Toth-13"><span class="cite-bracket">[</span>13<span class="cite-bracket">]</span></a></sup> </td></tr> <tr> <td><a href="/wiki/Vanadium_carbide" title="Vanadium carbide"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1123817410"><span class="chemf nowrap">VC<sub class="template-chem2-sub">0.97</sub></span></a></td> <td>4.166</td> <td>Halite</td> <td><sup id="cite_ref-Toth_13-3" class="reference"><a href="#cite_note-Toth-13"><span class="cite-bracket">[</span>13<span class="cite-bracket">]</span></a></sup> </td></tr> <tr> <td><a href="/wiki/Niobium_carbide" title="Niobium carbide"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1123817410"><span class="chemf nowrap">NbC<sub class="template-chem2-sub">0.99</sub></span></a></td> <td>4.470</td> <td>Halite</td> <td><sup id="cite_ref-Toth_13-4" class="reference"><a href="#cite_note-Toth-13"><span class="cite-bracket">[</span>13<span class="cite-bracket">]</span></a></sup> </td></tr> <tr> <td><a href="/wiki/Tantalum_carbide" title="Tantalum carbide"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1123817410"><span class="chemf nowrap">TaC<sub class="template-chem2-sub">0.99</sub></span></a></td> <td>4.456</td> <td>Halite</td> <td><sup id="cite_ref-Toth_13-5" class="reference"><a href="#cite_note-Toth-13"><span class="cite-bracket">[</span>13<span class="cite-bracket">]</span></a></sup> </td></tr> <tr> <td><a href="/wiki/Chromium_carbide" class="mw-redirect" title="Chromium carbide"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1123817410"><span class="chemf nowrap">Cr<sub class="template-chem2-sub">3</sub>C<sub class="template-chem2-sub">2</sub></span></a></td> <td><i>a</i> = 11.47<br /><i>b</i> = 5.545<br /><i>c</i> = 2.830</td> <td><a href="/wiki/Orthorhombic_crystal_system" title="Orthorhombic crystal system">Orthorhombic</a></td> <td><sup id="cite_ref-Toth_13-6" class="reference"><a href="#cite_note-Toth-13"><span class="cite-bracket">[</span>13<span class="cite-bracket">]</span></a></sup> </td></tr> <tr> <td><a href="/wiki/Tungsten_carbide" title="Tungsten carbide">WC</a></td> <td><i>a</i> = 2.906<br /><i>c</i> = 2.837</td> <td>Hexagonal</td> <td><sup id="cite_ref-Toth_13-7" class="reference"><a href="#cite_note-Toth-13"><span class="cite-bracket">[</span>13<span class="cite-bracket">]</span></a></sup> </td></tr> <tr> <td><a href="/wiki/Scandium_nitride" title="Scandium nitride">ScN</a></td> <td>4.52</td> <td>Halite</td> <td><sup id="cite_ref-Saha_14-0" class="reference"><a href="#cite_note-Saha-14"><span class="cite-bracket">[</span>14<span class="cite-bracket">]</span></a></sup> </td></tr> <tr> <td><a href="/wiki/Lithium_niobate" title="Lithium niobate"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1123817410"><span class="chemf nowrap">LiNbO<sub class="template-chem2-sub">3</sub></span></a></td> <td><i>a</i> = 5.1483<br /><i>c</i> = 13.8631</td> <td>Hexagonal</td> <td><sup id="cite_ref-LB_15-0" class="reference"><a href="#cite_note-LB-15"><span class="cite-bracket">[</span>15<span class="cite-bracket">]</span></a></sup> </td></tr> <tr> <td><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1123817410"><span class="chemf nowrap">KTaO<sub class="template-chem2-sub">3</sub></span></td> <td>3.9885</td> <td>Cubic perovskite</td> <td><sup id="cite_ref-LB_15-1" class="reference"><a href="#cite_note-LB-15"><span class="cite-bracket">[</span>15<span class="cite-bracket">]</span></a></sup> </td></tr> <tr> <td><a href="/wiki/Barium_titanate" title="Barium titanate"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1123817410"><span class="chemf nowrap">BaTiO<sub class="template-chem2-sub">3</sub></span></a></td> <td><i>a</i> = 3.994<br /><i>c</i> = 4.034</td> <td><a href="/wiki/Perovskite_(structure)" title="Perovskite (structure)">Tetragonal perovskite</a></td> <td><sup id="cite_ref-LB_15-2" class="reference"><a href="#cite_note-LB-15"><span class="cite-bracket">[</span>15<span class="cite-bracket">]</span></a></sup> </td></tr> <tr> <td><a href="/wiki/Strontium_titanate" title="Strontium titanate"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1123817410"><span class="chemf nowrap">SrTiO<sub class="template-chem2-sub">3</sub></span></a></td> <td>3.98805</td> <td><a href="/wiki/Perovskite_(structure)" title="Perovskite (structure)">Cubic perovskite</a></td> <td><sup id="cite_ref-LB_15-3" class="reference"><a href="#cite_note-LB-15"><span class="cite-bracket">[</span>15<span class="cite-bracket">]</span></a></sup> </td></tr> <tr> <td><a href="/wiki/Calcium_titanate" title="Calcium titanate"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1123817410"><span class="chemf nowrap">CaTiO<sub class="template-chem2-sub">3</sub></span></a></td> <td><i>a</i> = 5.381<br /><i>b</i> = 5.443<br /><i>c</i> = 7.645</td> <td><a href="/wiki/Perovskite_(structure)" title="Perovskite (structure)">Orthorhombic perovskite</a></td> <td><sup id="cite_ref-LB_15-4" class="reference"><a href="#cite_note-LB-15"><span class="cite-bracket">[</span>15<span class="cite-bracket">]</span></a></sup> </td></tr> <tr> <td><a href="/wiki/Lead_titanate" title="Lead titanate"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1123817410"><span class="chemf nowrap">PbTiO<sub class="template-chem2-sub">3</sub></span></a></td> <td><i>a</i> = 3.904<br /><i>c</i> = 4.152</td> <td>Tetragonal perovskite</td> <td><sup id="cite_ref-LB_15-5" class="reference"><a href="#cite_note-LB-15"><span class="cite-bracket">[</span>15<span class="cite-bracket">]</span></a></sup> </td></tr> <tr> <td><a href="/wiki/Europium(II)_titanate" title="Europium(II) titanate"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1123817410"><span class="chemf nowrap">EuTiO<sub class="template-chem2-sub">3</sub></span></a></td> <td>7.810</td> <td>Cubic perovskite</td> <td><sup id="cite_ref-LB_15-6" class="reference"><a href="#cite_note-LB-15"><span class="cite-bracket">[</span>15<span class="cite-bracket">]</span></a></sup> </td></tr> <tr> <td><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1123817410"><span class="chemf nowrap">SrVO<sub class="template-chem2-sub">3</sub></span></td> <td>3.838</td> <td>Cubic perovskite</td> <td><sup id="cite_ref-LB_15-7" class="reference"><a href="#cite_note-LB-15"><span class="cite-bracket">[</span>15<span class="cite-bracket">]</span></a></sup> </td></tr> <tr> <td><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1123817410"><span class="chemf nowrap">CaVO<sub class="template-chem2-sub">3</sub></span></td> <td>3.767</td> <td>Cubic perovskite</td> <td><sup id="cite_ref-LB_15-8" class="reference"><a href="#cite_note-LB-15"><span class="cite-bracket">[</span>15<span class="cite-bracket">]</span></a></sup> </td></tr> <tr> <td><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1123817410"><span class="chemf nowrap">BaMnO<sub class="template-chem2-sub">3</sub></span></td> <td><i>a</i> = 5.673<br /><i>c</i> = 4.71</td> <td>Hexagonal</td> <td><sup id="cite_ref-LB_15-9" class="reference"><a href="#cite_note-LB-15"><span class="cite-bracket">[</span>15<span class="cite-bracket">]</span></a></sup> </td></tr> <tr> <td><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1123817410"><span class="chemf nowrap">CaMnO<sub class="template-chem2-sub">3</sub></span></td> <td><i>a</i> = 5.27<br /><i>b</i> = 5.275<br /><i>c</i> = 7.464</td> <td>Orthorhombic perovskite</td> <td><sup id="cite_ref-LB_15-10" class="reference"><a href="#cite_note-LB-15"><span class="cite-bracket">[</span>15<span class="cite-bracket">]</span></a></sup> </td></tr> <tr> <td><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1123817410"><span class="chemf nowrap">SrRuO<sub class="template-chem2-sub">3</sub></span></td> <td><i>a</i> = 5.53<br /><i>b</i> = 5.57<br /><i>c</i> = 7.85</td> <td>Orthorhombic perovskite</td> <td><sup id="cite_ref-LB_15-11" class="reference"><a href="#cite_note-LB-15"><span class="cite-bracket">[</span>15<span class="cite-bracket">]</span></a></sup> </td></tr> <tr> <td><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1123817410"><span class="chemf nowrap">YAlO<sub class="template-chem2-sub">3</sub></span></td> <td><i>a</i> = 5.179<br /><i>b</i> = 5.329<br /><i>c</i> = 7.37</td> <td>Orthorhombic perovskite</td> <td><sup id="cite_ref-LB_15-12" class="reference"><a href="#cite_note-LB-15"><span class="cite-bracket">[</span>15<span class="cite-bracket">]</span></a></sup> </td></tr></tbody></table> <div class="mw-heading mw-heading2"><h2 id="References">References</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Lattice_constant&action=edit&section=6" title="Edit section: References"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <style data-mw-deduplicate="TemplateStyles:r1239543626">.mw-parser-output .reflist{margin-bottom:0.5em;list-style-type:decimal}@media screen{.mw-parser-output .reflist{font-size:90%}}.mw-parser-output .reflist .references{font-size:100%;margin-bottom:0;list-style-type:inherit}.mw-parser-output .reflist-columns-2{column-width:30em}.mw-parser-output .reflist-columns-3{column-width:25em}.mw-parser-output .reflist-columns{margin-top:0.3em}.mw-parser-output .reflist-columns ol{margin-top:0}.mw-parser-output .reflist-columns li{page-break-inside:avoid;break-inside:avoid-column}.mw-parser-output .reflist-upper-alpha{list-style-type:upper-alpha}.mw-parser-output .reflist-upper-roman{list-style-type:upper-roman}.mw-parser-output .reflist-lower-alpha{list-style-type:lower-alpha}.mw-parser-output .reflist-lower-greek{list-style-type:lower-greek}.mw-parser-output .reflist-lower-roman{list-style-type:lower-roman}</style><div class="reflist"> <div class="mw-references-wrap mw-references-columns"><ol class="references"> <li id="cite_note-1"><span class="mw-cite-backlink"><b><a href="#cite_ref-1">^</a></b></span> <span class="reference-text"><style data-mw-deduplicate="TemplateStyles:r1238218222">.mw-parser-output cite.citation{font-style:inherit;word-wrap:break-word}.mw-parser-output .citation q{quotes:"\"""\"""'""'"}.mw-parser-output .citation:target{background-color:rgba(0,127,255,0.133)}.mw-parser-output .id-lock-free.id-lock-free a{background:url("//upload.wikimedia.org/wikipedia/commons/6/65/Lock-green.svg")right 0.1em center/9px no-repeat}.mw-parser-output .id-lock-limited.id-lock-limited a,.mw-parser-output .id-lock-registration.id-lock-registration a{background:url("//upload.wikimedia.org/wikipedia/commons/d/d6/Lock-gray-alt-2.svg")right 0.1em center/9px no-repeat}.mw-parser-output .id-lock-subscription.id-lock-subscription a{background:url("//upload.wikimedia.org/wikipedia/commons/a/aa/Lock-red-alt-2.svg")right 0.1em center/9px no-repeat}.mw-parser-output .cs1-ws-icon a{background:url("//upload.wikimedia.org/wikipedia/commons/4/4c/Wikisource-logo.svg")right 0.1em center/12px no-repeat}body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-free a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-limited a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-registration a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-subscription a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .cs1-ws-icon a{background-size:contain;padding:0 1em 0 0}.mw-parser-output .cs1-code{color:inherit;background:inherit;border:none;padding:inherit}.mw-parser-output .cs1-hidden-error{display:none;color:var(--color-error,#d33)}.mw-parser-output .cs1-visible-error{color:var(--color-error,#d33)}.mw-parser-output .cs1-maint{display:none;color:#085;margin-left:0.3em}.mw-parser-output .cs1-kern-left{padding-left:0.2em}.mw-parser-output .cs1-kern-right{padding-right:0.2em}.mw-parser-output .citation .mw-selflink{font-weight:inherit}@media screen{.mw-parser-output .cs1-format{font-size:95%}html.skin-theme-clientpref-night .mw-parser-output .cs1-maint{color:#18911f}}@media screen and (prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .cs1-maint{color:#18911f}}</style><cite class="citation web cs1"><a rel="nofollow" class="external text" href="https://web.archive.org/web/20081004101125/http://www.ccdc.cam.ac.uk/support/documentation/mercury_csd/portable/mercury_portable-4-70.html">"Unit cell definition using parallelepiped with lengths <i>a</i>, <i>b</i>, <i>c</i> and angles between the sides given by <i>α</i>, <i>β</i>, <i>γ</i>"</a>. Archived from <a rel="nofollow" class="external text" href="http://www.ccdc.cam.ac.uk/support/documentation/mercury_csd/portable/mercury_portable-4-70.html">the original</a> on 4 October 2008.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=unknown&rft.btitle=Unit+cell+definition+using+parallelepiped+with+lengths+a%2C+b%2C+c+and+angles+between+the+sides+given+by+%CE%B1%2C+%CE%B2%2C+%CE%B3&rft_id=http%3A%2F%2Fwww.ccdc.cam.ac.uk%2Fsupport%2Fdocumentation%2Fmercury_csd%2Fportable%2Fmercury_portable-4-70.html&rfr_id=info%3Asid%2Fen.wikipedia.org%3ALattice+constant" class="Z3988"></span></span> </li> <li id="cite_note-colm2019-2"><span class="mw-cite-backlink"><b><a href="#cite_ref-colm2019_2-0">^</a></b></span> <span class="reference-text">Francisco Colmenero (2019): "Negative area compressibility in oxalic acid dihydrate". <i>Materials Letters</i>, volume 245, pages 25-28. <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><a href="/wiki/Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<a rel="nofollow" class="external text" href="https://doi.org/10.1016%2Fj.matlet.2019.02.077">10.1016/j.matlet.2019.02.077</a></span> </li> <li id="cite_note-tell1971-3"><span class="mw-cite-backlink"><b><a href="#cite_ref-tell1971_3-0">^</a></b></span> <span class="reference-text">Roland Tellgren and Ivar Olovsson (1971): "Hydrogen Bond Studies. XXXXVI. The Crystal Structures of Normal and Deuterated Sodium Hydrogen Oxalate Monohydrate NaHC2O4·H2O and NaDC2O4·D2O". <i>Journal of Chemical Physics</i>, volume 54, issue 1. <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><a href="/wiki/Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<a rel="nofollow" class="external text" href="https://doi.org/10.1063%2F1.1674582">10.1063/1.1674582</a></span> </li> <li id="cite_note-automatic1998-4"><span class="mw-cite-backlink"><b><a href="#cite_ref-automatic1998_4-0">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFR._V._Lapshin1998" class="citation journal cs1">R. V. Lapshin (1998). <a rel="nofollow" class="external text" href="http://www.lapshin.fast-page.org/publications/R.%20V.%20Lapshin,%20Automatic%20lateral%20calibration%20of%20tunneling%20microscope%20scanners.pdf">"Automatic lateral calibration of tunneling microscope scanners"</a> <span class="cs1-format">(PDF)</span>. <i>Review of Scientific Instruments</i>. <b>69</b> (9). USA: AIP: <span class="nowrap">3268–</span>3276. <a href="/wiki/Bibcode_(identifier)" class="mw-redirect" title="Bibcode (identifier)">Bibcode</a>:<a rel="nofollow" class="external text" href="https://ui.adsabs.harvard.edu/abs/1998RScI...69.3268L">1998RScI...69.3268L</a>. <a href="/wiki/Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<a rel="nofollow" class="external text" href="https://doi.org/10.1063%2F1.1149091">10.1063/1.1149091</a>. <a href="/wiki/ISSN_(identifier)" class="mw-redirect" title="ISSN (identifier)">ISSN</a> <a rel="nofollow" class="external text" href="https://search.worldcat.org/issn/0034-6748">0034-6748</a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.jtitle=Review+of+Scientific+Instruments&rft.atitle=Automatic+lateral+calibration+of+tunneling+microscope+scanners&rft.volume=69&rft.issue=9&rft.pages=%3Cspan+class%3D%22nowrap%22%3E3268-%3C%2Fspan%3E3276&rft.date=1998&rft.issn=0034-6748&rft_id=info%3Adoi%2F10.1063%2F1.1149091&rft_id=info%3Abibcode%2F1998RScI...69.3268L&rft.au=R.+V.+Lapshin&rft_id=http%3A%2F%2Fwww.lapshin.fast-page.org%2Fpublications%2FR.%2520V.%2520Lapshin%2C%2520Automatic%2520lateral%2520calibration%2520of%2520tunneling%2520microscope%2520scanners.pdf&rfr_id=info%3Asid%2Fen.wikipedia.org%3ALattice+constant" class="Z3988"></span></span> </li> <li id="cite_note-real2019-5"><span class="mw-cite-backlink"><b><a href="#cite_ref-real2019_5-0">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFR._V._Lapshin2019" class="citation journal cs1">R. V. Lapshin (2019). "Drift-insensitive distributed calibration of probe microscope scanner in nanometer range: Real mode". <i>Applied Surface Science</i>. <b>470</b>. Netherlands: Elsevier B. V.: <span class="nowrap">1122–</span>1129. <a href="/wiki/ArXiv_(identifier)" class="mw-redirect" title="ArXiv (identifier)">arXiv</a>:<span class="id-lock-free" title="Freely accessible"><a rel="nofollow" class="external text" href="https://arxiv.org/abs/1501.06679">1501.06679</a></span>. <a href="/wiki/Bibcode_(identifier)" class="mw-redirect" title="Bibcode (identifier)">Bibcode</a>:<a rel="nofollow" class="external text" href="https://ui.adsabs.harvard.edu/abs/2019ApSS..470.1122L">2019ApSS..470.1122L</a>. <a href="/wiki/Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<a rel="nofollow" class="external text" href="https://doi.org/10.1016%2Fj.apsusc.2018.10.149">10.1016/j.apsusc.2018.10.149</a>. <a href="/wiki/ISSN_(identifier)" class="mw-redirect" title="ISSN (identifier)">ISSN</a> <a rel="nofollow" class="external text" href="https://search.worldcat.org/issn/0169-4332">0169-4332</a>. <a href="/wiki/S2CID_(identifier)" class="mw-redirect" title="S2CID (identifier)">S2CID</a> <a rel="nofollow" class="external text" href="https://api.semanticscholar.org/CorpusID:119191299">119191299</a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.jtitle=Applied+Surface+Science&rft.atitle=Drift-insensitive+distributed+calibration+of+probe+microscope+scanner+in+nanometer+range%3A+Real+mode&rft.volume=470&rft.pages=%3Cspan+class%3D%22nowrap%22%3E1122-%3C%2Fspan%3E1129&rft.date=2019&rft_id=https%3A%2F%2Fapi.semanticscholar.org%2FCorpusID%3A119191299%23id-name%3DS2CID&rft_id=info%3Abibcode%2F2019ApSS..470.1122L&rft_id=info%3Aarxiv%2F1501.06679&rft.issn=0169-4332&rft_id=info%3Adoi%2F10.1016%2Fj.apsusc.2018.10.149&rft.au=R.+V.+Lapshin&rfr_id=info%3Asid%2Fen.wikipedia.org%3ALattice+constant" class="Z3988"></span></span> </li> <li id="cite_note-6"><span class="mw-cite-backlink"><b><a href="#cite_ref-6">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFDept._of_Crystallography_&_Struc._Biol._CSIC2015" class="citation web cs1">Dept. of Crystallography & Struc. Biol. CSIC (4 June 2015). <a rel="nofollow" class="external text" href="http://www.xtal.iqfr.csic.es/Cristalografia/index-en.html">"4. Direct and reciprocal lattices"</a><span class="reference-accessdate">. Retrieved <span class="nowrap">9 June</span> 2015</span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=unknown&rft.btitle=4.+Direct+and+reciprocal+lattices&rft.date=2015-06-04&rft.au=Dept.+of+Crystallography+%26+Struc.+Biol.+CSIC&rft_id=http%3A%2F%2Fwww.xtal.iqfr.csic.es%2FCristalografia%2Findex-en.html&rfr_id=info%3Asid%2Fen.wikipedia.org%3ALattice+constant" class="Z3988"></span></span> </li> <li id="cite_note-APS-7"><span class="mw-cite-backlink">^ <a href="#cite_ref-APS_7-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-APS_7-1"><sup><i><b>b</b></i></sup></a> <a href="#cite_ref-APS_7-2"><sup><i><b>c</b></i></sup></a> <a href="#cite_ref-APS_7-3"><sup><i><b>d</b></i></sup></a> <a href="#cite_ref-APS_7-4"><sup><i><b>e</b></i></sup></a> <a href="#cite_ref-APS_7-5"><sup><i><b>f</b></i></sup></a> <a href="#cite_ref-APS_7-6"><sup><i><b>g</b></i></sup></a> <a href="#cite_ref-APS_7-7"><sup><i><b>h</b></i></sup></a> <a href="#cite_ref-APS_7-8"><sup><i><b>i</b></i></sup></a> <a href="#cite_ref-APS_7-9"><sup><i><b>j</b></i></sup></a> <a href="#cite_ref-APS_7-10"><sup><i><b>k</b></i></sup></a> <a href="#cite_ref-APS_7-11"><sup><i><b>l</b></i></sup></a></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite class="citation web cs1"><a rel="nofollow" class="external text" href="http://7id.xray.aps.anl.gov/calculators/crystal_lattice_parameters.html">"Lattice Constants"</a>. <i>Argon National Labs (Advanced Photon Source)</i><span class="reference-accessdate">. Retrieved <span class="nowrap">19 October</span> 2014</span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=unknown&rft.jtitle=Argon+National+Labs+%28Advanced+Photon+Source%29&rft.atitle=Lattice+Constants&rft_id=http%3A%2F%2F7id.xray.aps.anl.gov%2Fcalculators%2Fcrystal_lattice_parameters.html&rfr_id=info%3Asid%2Fen.wikipedia.org%3ALattice+constant" class="Z3988"></span></span> </li> <li id="cite_note-Ioffe-8"><span class="mw-cite-backlink">^ <a href="#cite_ref-Ioffe_8-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-Ioffe_8-1"><sup><i><b>b</b></i></sup></a> <a href="#cite_ref-Ioffe_8-2"><sup><i><b>c</b></i></sup></a> <a href="#cite_ref-Ioffe_8-3"><sup><i><b>d</b></i></sup></a> <a href="#cite_ref-Ioffe_8-4"><sup><i><b>e</b></i></sup></a> <a href="#cite_ref-Ioffe_8-5"><sup><i><b>f</b></i></sup></a> <a href="#cite_ref-Ioffe_8-6"><sup><i><b>g</b></i></sup></a> <a href="#cite_ref-Ioffe_8-7"><sup><i><b>h</b></i></sup></a> <a href="#cite_ref-Ioffe_8-8"><sup><i><b>i</b></i></sup></a> <a href="#cite_ref-Ioffe_8-9"><sup><i><b>j</b></i></sup></a> <a href="#cite_ref-Ioffe_8-10"><sup><i><b>k</b></i></sup></a> <a href="#cite_ref-Ioffe_8-11"><sup><i><b>l</b></i></sup></a> <a href="#cite_ref-Ioffe_8-12"><sup><i><b>m</b></i></sup></a> <a href="#cite_ref-Ioffe_8-13"><sup><i><b>n</b></i></sup></a> <a href="#cite_ref-Ioffe_8-14"><sup><i><b>o</b></i></sup></a></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite class="citation web cs1"><a rel="nofollow" class="external text" href="http://www.ioffe.rssi.ru/SVA/NSM/Semicond/">"Semiconductor NSM"</a><span class="reference-accessdate">. Retrieved <span class="nowrap">19 October</span> 2014</span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=unknown&rft.btitle=Semiconductor+NSM&rft_id=http%3A%2F%2Fwww.ioffe.rssi.ru%2FSVA%2FNSM%2FSemicond%2F&rfr_id=info%3Asid%2Fen.wikipedia.org%3ALattice+constant" class="Z3988"></span></span> </li> <li id="cite_note-nist-9"><span class="mw-cite-backlink"><b><a href="#cite_ref-nist_9-0">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite class="citation web cs1"><a rel="nofollow" class="external text" href="https://physics.nist.gov/cgi-bin/cuu/Value?asil">"Fundamental physical constants"</a>. <i>physics.nist.gov</i>. NIST<span class="reference-accessdate">. Retrieved <span class="nowrap">17 January</span> 2020</span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=unknown&rft.jtitle=physics.nist.gov&rft.atitle=Fundamental+physical+constants&rft_id=https%3A%2F%2Fphysics.nist.gov%2Fcgi-bin%2Fcuu%2FValue%3Fasil&rfr_id=info%3Asid%2Fen.wikipedia.org%3ALattice+constant" class="Z3988"></span></span> </li> <li id="cite_note-10"><span class="mw-cite-backlink"><b><a href="#cite_ref-10">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite class="citation web cs1"><a rel="nofollow" class="external text" href="http://www.2spi.com/category/substrates/">"Substrates"</a>. <i>Spi Supplies</i><span class="reference-accessdate">. Retrieved <span class="nowrap">17 May</span> 2017</span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=unknown&rft.jtitle=Spi+Supplies&rft.atitle=Substrates&rft_id=http%3A%2F%2Fwww.2spi.com%2Fcategory%2Fsubstrates%2F&rfr_id=info%3Asid%2Fen.wikipedia.org%3ALattice+constant" class="Z3988"></span></span> </li> <li id="cite_note-Hadis-11"><span class="mw-cite-backlink"><b><a href="#cite_ref-Hadis_11-0">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFHadis_Morkoç_and_Ümit_Özgur2009" class="citation book cs1">Hadis Morkoç and Ümit Özgur (2009). <i>Zinc Oxide: Fundamentals, Materials and Device Technology</i>. Weinheim: WILEY-VCH Verlag GmbH & Co.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Zinc+Oxide%3A+Fundamentals%2C+Materials+and+Device+Technology&rft.place=Weinheim&rft.pub=WILEY-VCH+Verlag+GmbH+%26+Co.&rft.date=2009&rft.au=Hadis+Morko%C3%A7+and+%C3%9Cmit+%C3%96zgur&rfr_id=info%3Asid%2Fen.wikipedia.org%3ALattice+constant" class="Z3988"></span></span> </li> <li id="cite_note-Davey-12"><span class="mw-cite-backlink">^ <a href="#cite_ref-Davey_12-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-Davey_12-1"><sup><i><b>b</b></i></sup></a> <a href="#cite_ref-Davey_12-2"><sup><i><b>c</b></i></sup></a> <a href="#cite_ref-Davey_12-3"><sup><i><b>d</b></i></sup></a> <a href="#cite_ref-Davey_12-4"><sup><i><b>e</b></i></sup></a> <a href="#cite_ref-Davey_12-5"><sup><i><b>f</b></i></sup></a> <a href="#cite_ref-Davey_12-6"><sup><i><b>g</b></i></sup></a> <a href="#cite_ref-Davey_12-7"><sup><i><b>h</b></i></sup></a> <a href="#cite_ref-Davey_12-8"><sup><i><b>i</b></i></sup></a> <a href="#cite_ref-Davey_12-9"><sup><i><b>j</b></i></sup></a> <a href="#cite_ref-Davey_12-10"><sup><i><b>k</b></i></sup></a></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFDavey1925" class="citation journal cs1">Davey, Wheeler (1925). "Precision Measurements of the Lattice Constants of Twelve Common Metals". <i>Physical Review</i>. <b>25</b> (6): <span class="nowrap">753–</span>761. <a href="/wiki/Bibcode_(identifier)" class="mw-redirect" title="Bibcode (identifier)">Bibcode</a>:<a rel="nofollow" class="external text" href="https://ui.adsabs.harvard.edu/abs/1925PhRv...25..753D">1925PhRv...25..753D</a>. <a href="/wiki/Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<a rel="nofollow" class="external text" href="https://doi.org/10.1103%2FPhysRev.25.753">10.1103/PhysRev.25.753</a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.jtitle=Physical+Review&rft.atitle=Precision+Measurements+of+the+Lattice+Constants+of+Twelve+Common+Metals&rft.volume=25&rft.issue=6&rft.pages=%3Cspan+class%3D%22nowrap%22%3E753-%3C%2Fspan%3E761&rft.date=1925&rft_id=info%3Adoi%2F10.1103%2FPhysRev.25.753&rft_id=info%3Abibcode%2F1925PhRv...25..753D&rft.aulast=Davey&rft.aufirst=Wheeler&rfr_id=info%3Asid%2Fen.wikipedia.org%3ALattice+constant" class="Z3988"></span></span> </li> <li id="cite_note-Toth-13"><span class="mw-cite-backlink">^ <a href="#cite_ref-Toth_13-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-Toth_13-1"><sup><i><b>b</b></i></sup></a> <a href="#cite_ref-Toth_13-2"><sup><i><b>c</b></i></sup></a> <a href="#cite_ref-Toth_13-3"><sup><i><b>d</b></i></sup></a> <a href="#cite_ref-Toth_13-4"><sup><i><b>e</b></i></sup></a> <a href="#cite_ref-Toth_13-5"><sup><i><b>f</b></i></sup></a> <a href="#cite_ref-Toth_13-6"><sup><i><b>g</b></i></sup></a> <a href="#cite_ref-Toth_13-7"><sup><i><b>h</b></i></sup></a></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFToth1967" class="citation book cs1">Toth, L.E. (1967). <i>Transition Metal Carbides and Nitrides</i>. New York: Academic Press.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Transition+Metal+Carbides+and+Nitrides&rft.place=New+York&rft.pub=Academic+Press&rft.date=1967&rft.aulast=Toth&rft.aufirst=L.E.&rfr_id=info%3Asid%2Fen.wikipedia.org%3ALattice+constant" class="Z3988"></span></span> </li> <li id="cite_note-Saha-14"><span class="mw-cite-backlink"><b><a href="#cite_ref-Saha_14-0">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFSaha2010" class="citation journal cs1">Saha, B. (2010). <a rel="nofollow" class="external text" href="http://repository.ias.ac.in/59355/1/18-pub.pdf">"Electronic structure, phonons, and thermal properties of ScN, ZrN, and HfN: A first-principles study"</a> <span class="cs1-format">(PDF)</span>. <i>Journal of Applied Physics</i>. <b>107</b> (3): 033715–033715–8. <a href="/wiki/Bibcode_(identifier)" class="mw-redirect" title="Bibcode (identifier)">Bibcode</a>:<a rel="nofollow" class="external text" href="https://ui.adsabs.harvard.edu/abs/2010JAP...107c3715S">2010JAP...107c3715S</a>. <a href="/wiki/Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<a rel="nofollow" class="external text" href="https://doi.org/10.1063%2F1.3291117">10.1063/1.3291117</a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.jtitle=Journal+of+Applied+Physics&rft.atitle=Electronic+structure%2C+phonons%2C+and+thermal+properties+of+ScN%2C+ZrN%2C+and+HfN%3A+A+first-principles+study&rft.volume=107&rft.issue=3&rft.pages=033715-033715-8&rft.date=2010&rft_id=info%3Adoi%2F10.1063%2F1.3291117&rft_id=info%3Abibcode%2F2010JAP...107c3715S&rft.aulast=Saha&rft.aufirst=B.&rft_id=http%3A%2F%2Frepository.ias.ac.in%2F59355%2F1%2F18-pub.pdf&rfr_id=info%3Asid%2Fen.wikipedia.org%3ALattice+constant" class="Z3988"></span></span> </li> <li id="cite_note-LB-15"><span class="mw-cite-backlink">^ <a href="#cite_ref-LB_15-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-LB_15-1"><sup><i><b>b</b></i></sup></a> <a href="#cite_ref-LB_15-2"><sup><i><b>c</b></i></sup></a> <a href="#cite_ref-LB_15-3"><sup><i><b>d</b></i></sup></a> <a href="#cite_ref-LB_15-4"><sup><i><b>e</b></i></sup></a> <a href="#cite_ref-LB_15-5"><sup><i><b>f</b></i></sup></a> <a href="#cite_ref-LB_15-6"><sup><i><b>g</b></i></sup></a> <a href="#cite_ref-LB_15-7"><sup><i><b>h</b></i></sup></a> <a href="#cite_ref-LB_15-8"><sup><i><b>i</b></i></sup></a> <a href="#cite_ref-LB_15-9"><sup><i><b>j</b></i></sup></a> <a href="#cite_ref-LB_15-10"><sup><i><b>k</b></i></sup></a> <a href="#cite_ref-LB_15-11"><sup><i><b>l</b></i></sup></a> <a href="#cite_ref-LB_15-12"><sup><i><b>m</b></i></sup></a></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFGoodenoughLongo" class="citation web cs1">Goodenough, J. B.; Longo, M. <a rel="nofollow" class="external text" href="http://www.springermaterials.com/docs/info/10201420_50.html">"3.1.7 Data: Crystallographic properties of compounds with perovskite or perovskite-related structure, Table 2 Part 1"</a>. 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