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class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Notes"> <div class="vector-toc-text"> <span class="vector-toc-numb">4.1</span> <span>Notes</span> </div> </a> <ul id="toc-Notes-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Références" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Références"> <div class="vector-toc-text"> <span class="vector-toc-numb">4.2</span> <span>Références</span> </div> </a> <ul id="toc-Références-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-Bibliographie" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Bibliographie"> <div class="vector-toc-text"> <span class="vector-toc-numb">5</span> <span>Bibliographie</span> </div> </a> <ul id="toc-Bibliographie-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="Sommaire" 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="Basculer la table des matières" > <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">Basculer la table des matières</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">Équation de Simon</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="Aller à un article dans une autre langue. 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<div id="vector-appearance" class="vector-appearance vector-pinnable-element"> <div class="vector-pinnable-header vector-appearance-pinnable-header vector-pinnable-header-pinned" data-feature-name="appearance-pinned" data-pinnable-element-id="vector-appearance" data-pinned-container-id="vector-appearance-pinned-container" data-unpinned-container-id="vector-appearance-unpinned-container" > <div class="vector-pinnable-header-label">Apparence</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-appearance.pin">déplacer vers la barre latérale</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-appearance.unpin">masquer</button> </div> </div> </div> </nav> </div> </div> <div id="bodyContent" class="vector-body" aria-labelledby="firstHeading" data-mw-ve-target-container> <div class="vector-body-before-content"> <div class="mw-indicators"> </div> <div id="siteSub" class="noprint">Un article de Wikipédia, l'encyclopédie libre.</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="fr" dir="ltr"><p>L'<b>équation de Simon</b> est une <a href="/wiki/Loi_empirique" title="Loi empirique">équation empirique</a> qui décrit la variation du <a href="/wiki/Point_de_fusion" title="Point de fusion">point de fusion</a> d'une <a href="/wiki/Substance_chimique" title="Substance chimique">substance</a> en fonction de la <a href="/wiki/Pression" title="Pression">pression</a>. Elle a été proposée par Franz Simon et Gunther Glatzel en 1929<sup id="cite_ref-1" class="reference"><a href="#cite_note-1"><span class="cite_crochet">[</span>1<span class="cite_crochet">]</span></a></sup>. </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="Équation_originelle"><span id=".C3.89quation_originelle"></span>Équation originelle</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%C3%89quation_de_Simon&veaction=edit&section=1" title="Modifier la section : Équation originelle" class="mw-editsection-visualeditor"><span>modifier</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=%C3%89quation_de_Simon&action=edit&section=1" title="Modifier le code source de la section : Équation originelle"><span>modifier le code</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>L'équation de Simon s'écrit : </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 P=P_{\star }\left[\left({\frac {T}{T_{0}}}\right)^{c}-1\right]\quad }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>P</mi> <mo>=</mo> <msub> <mi>P</mi> <mrow class="MJX-TeXAtom-ORD"> <mo>⋆</mo> </mrow> </msub> <mrow> <mo>[</mo> <mrow> <msup> <mrow> <mo>(</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>T</mi> <msub> <mi>T</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>0</mn> </mrow> </msub> </mfrac> </mrow> <mo>)</mo> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi>c</mi> </mrow> </msup> <mo>−</mo> <mn>1</mn> </mrow> <mo>]</mo> </mrow> <mspace width="1em" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle P=P_{\star }\left[\left({\frac {T}{T_{0}}}\right)^{c}-1\right]\quad }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/742254f5ec6f3cf84200618d39382ede1c116503" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.505ex; width:24.171ex; height:6.176ex;" alt="{\displaystyle P=P_{\star }\left[\left({\frac {T}{T_{0}}}\right)^{c}-1\right]\quad }"></span> ou <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 \quad T=T_{0}\,\left(1+{\frac {P}{P_{\star }}}\right)^{\frac {1}{c}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mspace width="1em" /> <mi>T</mi> <mo>=</mo> <msub> <mi>T</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>0</mn> </mrow> </msub> <mspace width="thinmathspace" /> <msup> <mrow> <mo>(</mo> <mrow> <mn>1</mn> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>P</mi> <msub> <mi>P</mi> <mrow class="MJX-TeXAtom-ORD"> <mo>⋆</mo> </mrow> </msub> </mfrac> </mrow> </mrow> <mo>)</mo> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mi>c</mi> </mfrac> </mrow> </msup> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \quad T=T_{0}\,\left(1+{\frac {P}{P_{\star }}}\right)^{\frac {1}{c}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/dde45f0a3c7687556b4eef4e083cc58e2846e756" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.505ex; width:22.399ex; height:7.176ex;" alt="{\displaystyle \quad T=T_{0}\,\left(1+{\frac {P}{P_{\star }}}\right)^{\frac {1}{c}}}"></span></dd></dl> <p>où : </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 T}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>T</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle T}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ec7200acd984a1d3a3d7dc455e262fbe54f7f6e0" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.636ex; height:2.176ex;" alt="{\displaystyle T}"></span> et <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 P}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>P</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle P}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b4dc73bf40314945ff376bd363916a738548d40a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.745ex; height:2.176ex;" alt="{\displaystyle P}"></span> sont la <a href="/wiki/Temp%C3%A9rature_thermodynamique" title="Température thermodynamique">température</a> et la <a href="/wiki/Pression" title="Pression">pression</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 T}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>T</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle T}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ec7200acd984a1d3a3d7dc455e262fbe54f7f6e0" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.636ex; height:2.176ex;" alt="{\displaystyle T}"></span> est le point de fusion à la pression <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 P}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>P</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle P}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b4dc73bf40314945ff376bd363916a738548d40a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.745ex; height:2.176ex;" alt="{\displaystyle P}"></span>),</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 T_{0}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>T</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>0</mn> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle T_{0}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/55b9e7d7b96196b5a6a26f4349caa3ac82fd67e3" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:2.412ex; height:2.509ex;" alt="{\displaystyle T_{0}}"></span> est le point de fusion à pression nulle,</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 P_{\star }}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>P</mi> <mrow class="MJX-TeXAtom-ORD"> <mo>⋆</mo> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle P_{\star }}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/776b1e6eed7f195ba14754f318c2336849fb6de0" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.324ex; margin-bottom: -0.348ex; width:2.547ex; height:2.509ex;" alt="{\displaystyle P_{\star }}"></span> (exprimé en <a href="/wiki/Unit%C3%A9_de_pression" title="Unité de pression">unités de pression</a>, positif) et <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 c}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>c</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle c}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/86a67b81c2de995bd608d5b2df50cd8cd7d92455" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.007ex; height:1.676ex;" alt="{\displaystyle c}"></span> (<a href="/wiki/Grandeur_sans_dimension" title="Grandeur sans dimension">sans dimension</a>, supérieur à <span class="texhtml">1</span>) sont des paramètres empiriques.</dd></dl> <p>En pratique, <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 T_{0}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>T</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>0</mn> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle T_{0}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/55b9e7d7b96196b5a6a26f4349caa3ac82fd67e3" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:2.412ex; height:2.509ex;" alt="{\displaystyle T_{0}}"></span> peut souvent être confondu avec le point de fusion à <a href="/wiki/Pression_atmosph%C3%A9rique" title="Pression atmosphérique">pression ordinaire</a>. </p> <div class="mw-heading mw-heading3"><h3 id="Métastabilité"><span id="M.C3.A9tastabilit.C3.A9"></span>Métastabilité</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%C3%89quation_de_Simon&veaction=edit&section=2" title="Modifier la section : Métastabilité" class="mw-editsection-visualeditor"><span>modifier</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=%C3%89quation_de_Simon&action=edit&section=2" title="Modifier le code source de la section : Métastabilité"><span>modifier le code</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>En dessous du <a href="/wiki/Point_triple" title="Point triple">point triple</a> solide-liquide-gaz (<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 P<P_{\mathrm {T} }}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>P</mi> <mo><</mo> <msub> <mi>P</mi> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">T</mi> </mrow> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle P<P_{\mathrm {T} }}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a9eda26046ff9b52a7b1bc6448d1a5ee9c5e2282" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:7.755ex; height:2.509ex;" alt="{\displaystyle P<P_{\mathrm {T} }}"></span>, y compris <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 \,P<0}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mspace width="thinmathspace" /> <mi>P</mi> <mo><</mo> <mn>0</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \,P<0}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ae46625ac9412bdc1697724881b5af7a1951aeea" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:6.393ex; height:2.176ex;" alt="{\displaystyle \,P<0}"></span>), l'équation de Simon décrit le prolongement <a href="/wiki/M%C3%A9tastabilit%C3%A9" title="Métastabilité">métastable</a> de la courbe de fusion. </p><p>L'équation de Simon vérifie le <a href="/wiki/Th%C3%A9or%C3%A8me_de_Nernst" title="Théorème de Nernst">théorème de Nernst</a>, selon lequel <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 {\mathrm {d} P}{\mathrm {d} T}}\to 0\,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mspace width="thinmathspace" /> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">d</mi> </mrow> <mi>P</mi> </mrow> <mrow> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">d</mi> </mrow> <mi>T</mi> </mrow> </mfrac> </mrow> <mo stretchy="false">→</mo> <mn>0</mn> <mspace width="thinmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \,{\frac {\mathrm {d} P}{\mathrm {d} T}}\to 0\,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/e37cc915d033de6483a9be920a5f218b6cd4ba71" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.005ex; width:9.425ex; height:5.509ex;" alt="{\displaystyle \,{\frac {\mathrm {d} P}{\mathrm {d} T}}\to 0\,}"></span> quand <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 \,T\to 0}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mspace width="thinmathspace" /> <mi>T</mi> <mo stretchy="false">→</mo> <mn>0</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \,T\to 0}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/3724cac1058e751735937c2879e05da48dcb9ce3" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:6.8ex; height:2.176ex;" alt="{\displaystyle \,T\to 0}"></span>. De fait, il a été démontré en 2016 que l'équation de Simon est asymptotiquement exacte quand <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 \,T\to 0}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mspace width="thinmathspace" /> <mi>T</mi> <mo stretchy="false">→</mo> <mn>0</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \,T\to 0}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/3724cac1058e751735937c2879e05da48dcb9ce3" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:6.8ex; height:2.176ex;" alt="{\displaystyle \,T\to 0}"></span><sup id="cite_ref-2" class="reference"><a href="#cite_note-2"><span class="cite_crochet">[</span>2<span class="cite_crochet">]</span></a></sup>. </p> <div class="mw-heading mw-heading2"><h2 id="Dédimensionnalisation_et_états_correspondants"><span id="D.C3.A9dimensionnalisation_et_.C3.A9tats_correspondants"></span>Dédimensionnalisation et états correspondants</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%C3%89quation_de_Simon&veaction=edit&section=3" title="Modifier la section : Dédimensionnalisation et états correspondants" class="mw-editsection-visualeditor"><span>modifier</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=%C3%89quation_de_Simon&action=edit&section=3" title="Modifier le code source de la section : Dédimensionnalisation et états correspondants"><span>modifier le code</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="mw-heading mw-heading3"><h3 id="Dédimensionnalisation"><span id="D.C3.A9dimensionnalisation"></span>Dédimensionnalisation</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%C3%89quation_de_Simon&veaction=edit&section=4" title="Modifier la section : Dédimensionnalisation" class="mw-editsection-visualeditor"><span>modifier</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=%C3%89quation_de_Simon&action=edit&section=4" title="Modifier le code source de la section : Dédimensionnalisation"><span>modifier le code</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Il peut être commode de dédimensionnaliser l'équation de Simon en posant : </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 P'=P+P_{\star }\,,\quad {\tilde {P}}={\frac {P'}{P_{\star }}}\,,\quad {\tilde {T}}={\frac {T}{T_{0}}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msup> <mi>P</mi> <mo>′</mo> </msup> <mo>=</mo> <mi>P</mi> <mo>+</mo> <msub> <mi>P</mi> <mrow class="MJX-TeXAtom-ORD"> <mo>⋆</mo> </mrow> </msub> <mspace width="thinmathspace" /> <mo>,</mo> <mspace width="1em" /> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>P</mi> <mo stretchy="false">~</mo> </mover> </mrow> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <msup> <mi>P</mi> <mo>′</mo> </msup> <msub> <mi>P</mi> <mrow class="MJX-TeXAtom-ORD"> <mo>⋆</mo> </mrow> </msub> </mfrac> </mrow> <mspace width="thinmathspace" /> <mo>,</mo> <mspace width="1em" /> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>T</mi> <mo stretchy="false">~</mo> </mover> </mrow> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>T</mi> <msub> <mi>T</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>0</mn> </mrow> </msub> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle P'=P+P_{\star }\,,\quad {\tilde {P}}={\frac {P'}{P_{\star }}}\,,\quad {\tilde {T}}={\frac {T}{T_{0}}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0af81aa5827f24d8bf698ccc47d145897604695a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.338ex; width:36.638ex; height:6.009ex;" alt="{\displaystyle P'=P+P_{\star }\,,\quad {\tilde {P}}={\frac {P'}{P_{\star }}}\,,\quad {\tilde {T}}={\frac {T}{T_{0}}}}"></span>.</dd></dl> <p>L'équation de Simon s'écrit alors<sup id="cite_ref-Faizullin2007_3-0" class="reference"><a href="#cite_note-Faizullin2007-3"><span class="cite_crochet">[</span>3<span class="cite_crochet">]</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 {\tilde {P}}={\tilde {T}}^{c}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>P</mi> <mo stretchy="false">~</mo> </mover> </mrow> </mrow> <mo>=</mo> <msup> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>T</mi> <mo stretchy="false">~</mo> </mover> </mrow> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi>c</mi> </mrow> </msup> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\tilde {P}}={\tilde {T}}^{c}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/bbc6e37aa617b3ea66c4086e1b3b7a15c43ddcc7" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:7.629ex; height:2.676ex;" alt="{\displaystyle {\tilde {P}}={\tilde {T}}^{c}}"></span>.</dd></dl> <p>Il est alors naturel de dédimensionnaliser aussi les grandeurs thermodynamiques que sont l'<a href="/w/index.php?title=Entropie_de_fusion&action=edit&redlink=1" class="new" title="Entropie de fusion (page inexistante)">entropie de fusion</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 \Delta S}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi mathvariant="normal">Δ</mi> <mi>S</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \Delta S}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/15a2efec755f08f95da4e8d1f7f2682861fb59be" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:3.435ex; height:2.176ex;" alt="{\displaystyle \Delta S}"></span> et le <a href="/w/index.php?title=Volume_de_fusion&action=edit&redlink=1" class="new" title="Volume de fusion (page inexistante)">volume de fusion</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 \Delta V}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi mathvariant="normal">Δ</mi> <mi>V</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \Delta V}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/aa0ec3d68205fb7f4452de096cb34a50f661111e" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:3.723ex; height:2.176ex;" alt="{\displaystyle \Delta V}"></span>, en posant : </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \Delta {\tilde {S}}={\frac {\Delta S}{R}},\quad \Delta {\tilde {V}}={\frac {P'}{R\,T}}\,\Delta V}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi mathvariant="normal">Δ</mi> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>S</mi> <mo stretchy="false">~</mo> </mover> </mrow> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi mathvariant="normal">Δ</mi> <mi>S</mi> </mrow> <mi>R</mi> </mfrac> </mrow> <mo>,</mo> <mspace width="1em" /> <mi mathvariant="normal">Δ</mi> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>V</mi> <mo stretchy="false">~</mo> </mover> </mrow> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <msup> <mi>P</mi> <mo>′</mo> </msup> <mrow> <mi>R</mi> <mspace width="thinmathspace" /> <mi>T</mi> </mrow> </mfrac> </mrow> <mspace width="thinmathspace" /> <mi mathvariant="normal">Δ</mi> <mi>V</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \Delta {\tilde {S}}={\frac {\Delta S}{R}},\quad \Delta {\tilde {V}}={\frac {P'}{R\,T}}\,\Delta V}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/6e7c99b8cefaf0626f66695c9ab7f365e5ce3ec9" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.005ex; width:29.79ex; height:5.676ex;" alt="{\displaystyle \Delta {\tilde {S}}={\frac {\Delta S}{R}},\quad \Delta {\tilde {V}}={\frac {P'}{R\,T}}\,\Delta V}"></span>.</dd></dl> <p>La <a href="/wiki/Formule_de_Clapeyron" title="Formule de Clapeyron">relation de Clapeyron</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 \,\mathrm {d} P/\mathrm {d} T=\Delta S/\Delta V\,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mspace width="thinmathspace" /> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">d</mi> </mrow> <mi>P</mi> <mrow class="MJX-TeXAtom-ORD"> <mo>/</mo> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">d</mi> </mrow> <mi>T</mi> <mo>=</mo> <mi mathvariant="normal">Δ</mi> <mi>S</mi> <mrow class="MJX-TeXAtom-ORD"> <mo>/</mo> </mrow> <mi mathvariant="normal">Δ</mi> <mi>V</mi> <mspace width="thinmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \,\mathrm {d} P/\mathrm {d} T=\Delta S/\Delta V\,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ff1205b25dde5ff4df117a9fe9e3bad655d4d817" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:19.323ex; height:2.843ex;" alt="{\displaystyle \,\mathrm {d} P/\mathrm {d} T=\Delta S/\Delta V\,}"></span> s'écrit alors<sup id="cite_ref-Faizullin2007_3-1" class="reference"><a href="#cite_note-Faizullin2007-3"><span class="cite_crochet">[</span>3<span class="cite_crochet">]</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 {\frac {\Delta {\tilde {S}}}{\Delta {\tilde {V}}}}=c}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi mathvariant="normal">Δ</mi> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>S</mi> <mo stretchy="false">~</mo> </mover> </mrow> </mrow> </mrow> <mrow> <mi mathvariant="normal">Δ</mi> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>V</mi> <mo stretchy="false">~</mo> </mover> </mrow> </mrow> </mrow> </mfrac> </mrow> <mo>=</mo> <mi>c</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\frac {\Delta {\tilde {S}}}{\Delta {\tilde {V}}}}=c}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/72fa3ac20cccdfb2de874a194de011220aa6f885" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.505ex; width:8.665ex; height:6.509ex;" alt="{\displaystyle {\frac {\Delta {\tilde {S}}}{\Delta {\tilde {V}}}}=c}"></span>.</dd></dl> <div class="mw-heading mw-heading3"><h3 id="États_correspondants"><span id=".C3.89tats_correspondants"></span>États correspondants</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%C3%89quation_de_Simon&veaction=edit&section=5" title="Modifier la section : États correspondants" class="mw-editsection-visualeditor"><span>modifier</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=%C3%89quation_de_Simon&action=edit&section=5" title="Modifier le code source de la section : États correspondants"><span>modifier le code</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Pour les 21 <a href="/wiki/Substance_chimique" title="Substance chimique">substances</a><sup id="cite_ref-4" class="reference"><a href="#cite_note-4"><span class="cite_crochet">[</span>a<span class="cite_crochet">]</span></a></sup> examinées par Faizullin et Skripov<sup id="cite_ref-Faizullin2007_3-2" class="reference"><a href="#cite_note-Faizullin2007-3"><span class="cite_crochet">[</span>3<span class="cite_crochet">]</span></a></sup>, la différence <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \,\Delta {\tilde {S}}-\Delta {\tilde {V}}\,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mspace width="thinmathspace" /> <mi mathvariant="normal">Δ</mi> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>S</mi> <mo stretchy="false">~</mo> </mover> </mrow> </mrow> <mo>−</mo> <mi mathvariant="normal">Δ</mi> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>V</mi> <mo stretchy="false">~</mo> </mover> </mrow> </mrow> <mspace width="thinmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \,\Delta {\tilde {S}}-\Delta {\tilde {V}}\,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ba181bfa9f4194dab873f61ddc1453628034ac58" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:10.846ex; height:2.843ex;" alt="{\displaystyle \,\Delta {\tilde {S}}-\Delta {\tilde {V}}\,}"></span> ne varie qu'entre 0,37 et 0,74, et pour seulement 5 d'entre elles cette différence s'écarte de 0,61 de plus que 10 %. On observe donc une sorte de <a href="/wiki/Loi_des_%C3%A9tats_correspondants" title="Loi des états correspondants">loi des états correspondants</a> : </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \Delta {\tilde {S}}-\Delta {\tilde {V}}\approx 0{,}61}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi mathvariant="normal">Δ</mi> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>S</mi> <mo stretchy="false">~</mo> </mover> </mrow> </mrow> <mo>−</mo> <mi mathvariant="normal">Δ</mi> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>V</mi> <mo stretchy="false">~</mo> </mover> </mrow> </mrow> <mo>≈</mo> <mn>0</mn> <mrow class="MJX-TeXAtom-ORD"> <mo>,</mo> </mrow> <mn>61</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \Delta {\tilde {S}}-\Delta {\tilde {V}}\approx 0{,}61}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/4abccc785b2dea81a7acf4cd38137e4dc64f55eb" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:17.305ex; height:3.009ex;" alt="{\displaystyle \Delta {\tilde {S}}-\Delta {\tilde {V}}\approx 0{,}61}"></span></dd></dl> <p>donc : </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \Delta {\tilde {S}}\approx 0{,}61\,{\frac {c}{c-1}}\,,\quad \Delta {\tilde {V}}\approx {\frac {0{,}61}{c-1}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi mathvariant="normal">Δ</mi> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>S</mi> <mo stretchy="false">~</mo> </mover> </mrow> </mrow> <mo>≈</mo> <mn>0</mn> <mrow class="MJX-TeXAtom-ORD"> <mo>,</mo> </mrow> <mn>61</mn> <mspace width="thinmathspace" /> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>c</mi> <mrow> <mi>c</mi> <mo>−</mo> <mn>1</mn> </mrow> </mfrac> </mrow> <mspace width="thinmathspace" /> <mo>,</mo> <mspace width="1em" /> <mi mathvariant="normal">Δ</mi> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>V</mi> <mo stretchy="false">~</mo> </mover> </mrow> </mrow> <mo>≈</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mn>0</mn> <mrow class="MJX-TeXAtom-ORD"> <mo>,</mo> </mrow> <mn>61</mn> </mrow> <mrow> <mi>c</mi> <mo>−</mo> <mn>1</mn> </mrow> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \Delta {\tilde {S}}\approx 0{,}61\,{\frac {c}{c-1}}\,,\quad \Delta {\tilde {V}}\approx {\frac {0{,}61}{c-1}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/83ae9962f268f815012b2cf7068f0a234729231e" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.005ex; width:33.385ex; height:5.509ex;" alt="{\displaystyle \Delta {\tilde {S}}\approx 0{,}61\,{\frac {c}{c-1}}\,,\quad \Delta {\tilde {V}}\approx {\frac {0{,}61}{c-1}}}"></span>.</dd></dl> <div class="mw-heading mw-heading2"><h2 id="Extensions">Extensions</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%C3%89quation_de_Simon&veaction=edit&section=6" title="Modifier la section : Extensions" class="mw-editsection-visualeditor"><span>modifier</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=%C3%89quation_de_Simon&action=edit&section=6" title="Modifier le code source de la section : Extensions"><span>modifier le code</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Pour approcher au mieux les résultats expérimentaux, on peut complexifier l'équation en écrivant, sous forme dédimensionnalisée : </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 {\tilde {P}}={\tilde {T}}^{a}f({\tilde {T}})}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>P</mi> <mo stretchy="false">~</mo> </mover> </mrow> </mrow> <mo>=</mo> <msup> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>T</mi> <mo stretchy="false">~</mo> </mover> </mrow> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi>a</mi> </mrow> </msup> <mi>f</mi> <mo stretchy="false">(</mo> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>T</mi> <mo stretchy="false">~</mo> </mover> </mrow> </mrow> <mo stretchy="false">)</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\tilde {P}}={\tilde {T}}^{a}f({\tilde {T}})}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/fb00912c841a84645479a2111cb592f25f36245c" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:12.648ex; height:3.176ex;" alt="{\displaystyle {\tilde {P}}={\tilde {T}}^{a}f({\tilde {T}})}"></span></dd></dl> <p>où la fonction <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 f}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>f</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle f}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/132e57acb643253e7810ee9702d9581f159a1c61" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:1.279ex; height:2.509ex;" alt="{\displaystyle f}"></span> implique un ou plusieurs paramètres supplémentaires, et <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 \,f({\tilde {T}})\to 1\,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mspace width="thinmathspace" /> <mi>f</mi> <mo stretchy="false">(</mo> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>T</mi> <mo stretchy="false">~</mo> </mover> </mrow> </mrow> <mo stretchy="false">)</mo> <mo stretchy="false">→</mo> <mn>1</mn> <mspace width="thinmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \,f({\tilde {T}})\to 1\,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b85c5e3ea1ad06ce14b560b110c154999e3e4b5b" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:10.413ex; height:3.176ex;" alt="{\displaystyle \,f({\tilde {T}})\to 1\,}"></span> quand <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 {\tilde {T}}\to 1}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>T</mi> <mo stretchy="false">~</mo> </mover> </mrow> </mrow> <mo stretchy="false">→</mo> <mn>1</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\tilde {T}}\to 1}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/c3bbd9ec994128fd698b922366bc4b07291831b5" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:6.551ex; height:2.676ex;" alt="{\displaystyle {\tilde {T}}\to 1}"></span>. </p><p>Faizullin et Skripov<sup id="cite_ref-Faizullin2007_3-3" class="reference"><a href="#cite_note-Faizullin2007-3"><span class="cite_crochet">[</span>3<span class="cite_crochet">]</span></a></sup> proposent deux formes pour la fonction <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 f}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>f</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle f}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/132e57acb643253e7810ee9702d9581f159a1c61" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:1.279ex; height:2.509ex;" alt="{\displaystyle f}"></span> : </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 f({\tilde {T}})=\mathrm {e} ^{b\,({\tilde {T}}-1)}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>f</mi> <mo stretchy="false">(</mo> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>T</mi> <mo stretchy="false">~</mo> </mover> </mrow> </mrow> <mo stretchy="false">)</mo> <mo>=</mo> <msup> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">e</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi>b</mi> <mspace width="thinmathspace" /> <mo stretchy="false">(</mo> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>T</mi> <mo stretchy="false">~</mo> </mover> </mrow> </mrow> <mo>−</mo> <mn>1</mn> <mo stretchy="false">)</mo> </mrow> </msup> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle f({\tilde {T}})=\mathrm {e} ^{b\,({\tilde {T}}-1)}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/e7dd1464b569ed79b72eebd45ab1e6eb3907cbd8" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:15.009ex; height:3.509ex;" alt="{\displaystyle f({\tilde {T}})=\mathrm {e} ^{b\,({\tilde {T}}-1)}}"></span></dd></dl> <p>et : </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 f({\tilde {T}})=1-b\,{\tilde {T}}\,({\tilde {T}}-1)}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>f</mi> <mo stretchy="false">(</mo> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>T</mi> <mo stretchy="false">~</mo> </mover> </mrow> </mrow> <mo stretchy="false">)</mo> <mo>=</mo> <mn>1</mn> <mo>−</mo> <mi>b</mi> <mspace width="thinmathspace" /> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>T</mi> <mo stretchy="false">~</mo> </mover> </mrow> </mrow> <mspace width="thinmathspace" /> <mo stretchy="false">(</mo> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>T</mi> <mo stretchy="false">~</mo> </mover> </mrow> </mrow> <mo>−</mo> <mn>1</mn> <mo stretchy="false">)</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle f({\tilde {T}})=1-b\,{\tilde {T}}\,({\tilde {T}}-1)}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/5051eae68779da1378db0cb873f658439741a4ad" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:23.095ex; height:3.176ex;" alt="{\displaystyle f({\tilde {T}})=1-b\,{\tilde {T}}\,({\tilde {T}}-1)}"></span>.</dd></dl> <div class="mw-heading mw-heading2"><h2 id="Notes_et_références"><span id="Notes_et_r.C3.A9f.C3.A9rences"></span>Notes et références</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%C3%89quation_de_Simon&veaction=edit&section=7" title="Modifier la section : Notes et références" class="mw-editsection-visualeditor"><span>modifier</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=%C3%89quation_de_Simon&action=edit&section=7" title="Modifier le code source de la section : Notes et références"><span>modifier le code</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="mw-heading mw-heading3"><h3 id="Notes">Notes</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%C3%89quation_de_Simon&veaction=edit&section=8" title="Modifier la section : Notes" class="mw-editsection-visualeditor"><span>modifier</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=%C3%89quation_de_Simon&action=edit&section=8" title="Modifier le code source de la section : Notes"><span>modifier le code</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="references-small lower-alpha" style=""><div class="mw-references-wrap"><ol class="references"> <li id="cite_note-4"><span class="mw-cite-backlink noprint"><a href="#cite_ref-4">↑</a> </span><span class="reference-text">Ces 21 substances sont <a href="/wiki/N%C3%A9on" title="Néon">Ne</a>, <a href="/wiki/Argon" title="Argon">Ar</a>, <a href="/wiki/Krypton" title="Krypton">Kr</a>, <a href="/wiki/X%C3%A9non" title="Xénon">Xe</a>, <a href="/wiki/Diazote" title="Diazote">N<sub>2</sub><sub></sub><sub></sub><sub></sub><sub></sub><sub></sub><sub></sub><sub></sub><sub></sub><sub></sub><sub></sub><sub></sub><sub></sub><sub></sub><sub></sub></a>, <a href="/wiki/Dioxyg%C3%A8ne" title="Dioxygène">O<sub>2</sub><sub></sub><sub></sub><sub></sub><sub></sub><sub></sub><sub></sub><sub></sub><sub></sub><sub></sub><sub></sub><sub></sub><sub></sub><sub></sub><sub></sub></a>, <a href="/wiki/Difluor" title="Difluor">F<sub>2</sub><sub></sub><sub></sub><sub></sub><sub></sub><sub></sub><sub></sub><sub></sub><sub></sub><sub></sub><sub></sub><sub></sub><sub></sub><sub></sub><sub></sub></a>, <a href="/wiki/M%C3%A9thane" title="Méthane">CH<sub>4</sub><sub></sub><sub></sub><sub></sub><sub></sub><sub></sub><sub></sub><sub></sub><sub></sub><sub></sub><sub></sub><sub></sub><sub></sub><sub></sub><sub></sub></a>, <a href="/wiki/T%C3%A9trachlorom%C3%A9thane" title="Tétrachlorométhane">CCl<sub>4</sub><sub></sub><sub></sub><sub></sub><sub></sub><sub></sub><sub></sub><sub></sub><sub></sub><sub></sub><sub></sub><sub></sub><sub></sub><sub></sub><sub></sub></a>, <a href="/wiki/Sodium" title="Sodium">Na</a>, <a href="/wiki/Potassium" title="Potassium">K</a>, <a href="/wiki/Rubidium" title="Rubidium">Rb</a>, <a href="/wiki/C%C3%A9sium" title="Césium">Cs</a>, <a href="/wiki/Aluminium" title="Aluminium">Al</a>, <a href="/wiki/Nickel" title="Nickel">Ni</a>, <a href="/wiki/Cuivre" title="Cuivre">Cu</a>, <a href="/wiki/Zinc" title="Zinc">Zn</a>, <a href="/wiki/Argent" title="Argent">Ag</a>, <a href="/wiki/Cadmium" title="Cadmium">Cd</a>, <a href="/wiki/Or" title="Or">Au</a> et <a href="/wiki/Plomb" title="Plomb">Pb</a>.</span> </li> </ol></div> </div> <div class="mw-heading mw-heading3"><h3 id="Références"><span id="R.C3.A9f.C3.A9rences"></span>Références</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%C3%89quation_de_Simon&veaction=edit&section=9" title="Modifier la section : Références" class="mw-editsection-visualeditor"><span>modifier</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=%C3%89quation_de_Simon&action=edit&section=9" title="Modifier le code source de la section : Références"><span>modifier le code</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="references-small decimal" style=""><div class="mw-references-wrap"><ol class="references"> <li id="cite_note-1"><span class="mw-cite-backlink noprint"><a href="#cite_ref-1">↑</a> </span><span class="reference-text"><span class="ouvrage" id="SimonGlatzel1929"><span class="ouvrage" id="Franz_SimonGunther_Glatzel1929"><abbr class="abbr indicateur-langue" title="Langue : allemand">(de)</abbr> Franz Simon et Gunther Glatzel, « <cite style="font-style:normal" lang="de">Bemerkungen zur Schmelzdruckkurve</cite> » [« Commentaires sur la courbe de pression de fusion »], <i><span class="lang-de" lang="de"><a href="/wiki/Zeitschrift_f%C3%BCr_Anorganische_und_Allgemeine_Chemie" title="Zeitschrift für Anorganische und Allgemeine Chemie">Zeitschrift für Anorganische und Allgemeine Chemie</a></span></i>, <abbr class="abbr" title="volume">vol.</abbr> 178, <abbr class="abbr" title="numéro">n<sup>o</sup></abbr> 1,‎ <time class="nowrap" datetime="1929-01-22" data-sort-value="1929-01-22">22 janvier 1929</time>, <abbr class="abbr" title="pages">p.</abbr> <span class="nowrap">309-316</span> <small style="line-height:1em;">(<a href="/wiki/Digital_Object_Identifier" title="Digital Object Identifier">DOI</a> <span class="plainlinks noarchive nowrap"><a rel="nofollow" class="external text" href="https://dx.doi.org/10.1002/zaac.19291780123">10.1002/zaac.19291780123</a></span>)</small><span class="Z3988" title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Bemerkungen+zur+Schmelzdruckkurve&rft.jtitle=Zeitschrift+f%C3%BCr+Anorganische+und+Allgemeine+Chemie&rft.issue=1&rft.aulast=Simon&rft.aufirst=Franz&rft.au=Gunther+Glatzel&rft.date=1929-01-22&rft.volume=178&rft.pages=309-316&rft_id=info%3Adoi%2F10.1002%2Fzaac.19291780123&rfr_id=info%3Asid%2Ffr.wikipedia.org%3A%C3%89quation+de+Simon"></span></span></span>.</span> </li> <li id="cite_note-2"><span class="mw-cite-backlink noprint"><a href="#cite_ref-2">↑</a> </span><span class="reference-text"><span class="ouvrage" id="Fedorov2016"><span class="ouvrage" id="P._P._Fedorov2016"><abbr class="abbr indicateur-langue" title="Langue : anglais">(en)</abbr> P. P. Fedorov, « <cite style="font-style:normal" lang="en">Derivation of the Simon equation</cite> », <i><span class="lang-en" lang="en"><a href="/w/index.php?title=Doklady_Physics&action=edit&redlink=1" class="new" title="Doklady Physics (page inexistante)">Doklady Physics</a> <a href="https://en.wikipedia.org/wiki/Doklady_Physics" class="extiw" title="en:Doklady Physics"><span class="indicateur-langue" title="Article en anglais : « Doklady Physics »">(en)</span></a></span></i>, <abbr class="abbr" title="volume">vol.</abbr> 61,‎ <time class="nowrap" datetime="2016-09" data-sort-value="2016-09">septembre 2016</time>, <abbr class="abbr" title="pages">p.</abbr> <span class="nowrap">427-428</span> <small style="line-height:1em;">(<a href="/wiki/Digital_Object_Identifier" title="Digital Object Identifier">DOI</a> <span class="plainlinks noarchive nowrap"><a rel="nofollow" class="external text" href="https://dx.doi.org/10.1134/S1028335816090020">10.1134/S1028335816090020</a></span>)</small><span class="Z3988" title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Derivation+of+the+Simon+equation&rft.jtitle=%3ADoklady+Physics%C2%A0%28en%29Cat%C3%A9gorie%3AArticle+contenant+un+appel+%C3%A0+traduction+en+anglais&rft.aulast=Fedorov&rft.aufirst=P.+P.&rft.date=2016-09&rft.volume=61&rft.pages=427-428&rft_id=info%3Adoi%2F10.1134%2FS1028335816090020&rfr_id=info%3Asid%2Ffr.wikipedia.org%3A%C3%89quation+de+Simon"></span></span></span>.</span> </li> <li id="cite_note-Faizullin2007-3"><span class="mw-cite-backlink noprint">↑ <sup><a href="#cite_ref-Faizullin2007_3-0">a</a> <a href="#cite_ref-Faizullin2007_3-1">b</a> <a href="#cite_ref-Faizullin2007_3-2">c</a> et <a href="#cite_ref-Faizullin2007_3-3">d</a></sup> </span><span class="reference-text"><span class="ouvrage" id="FaizullinSkripov2007"><span class="ouvrage" id="M._Z._FaizullinV._P._Skripov2007"><abbr class="abbr indicateur-langue" title="Langue : anglais">(en)</abbr> M. Z. Faizullin et V. P. Skripov, « <cite style="font-style:normal" lang="en">The Modified Simon Equation and Some Properties of Substances on the Melting Line</cite> », <i><span class="lang-en" lang="en">High Temperature</span></i>, <abbr class="abbr" title="volume">vol.</abbr> 45, <abbr class="abbr" title="numéro">n<sup>o</sup></abbr> 5,‎ <time>2007</time>, <abbr class="abbr" title="pages">p.</abbr> <span class="nowrap">621-627</span> <small style="line-height:1em;">(<a href="/wiki/Digital_Object_Identifier" title="Digital Object Identifier">DOI</a> <span class="plainlinks noarchive nowrap"><a rel="nofollow" class="external text" href="https://dx.doi.org/10.1134/S0018151X07050070">10.1134/S0018151X07050070</a></span>)</small><span class="Z3988" title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=The+Modified+Simon+Equation+and+Some+Properties+of+Substances+on+the+Melting+Line&rft.jtitle=High+Temperature&rft.issue=5&rft.aulast=Faizullin&rft.aufirst=M.+Z.&rft.au=V.+P.+Skripov&rft.date=2007&rft.volume=45&rft.pages=621-627&rft_id=info%3Adoi%2F10.1134%2FS0018151X07050070&rfr_id=info%3Asid%2Ffr.wikipedia.org%3A%C3%89quation+de+Simon"></span></span></span>.</span> </li> </ol></div> </div> <div class="mw-heading mw-heading2"><h2 id="Bibliographie">Bibliographie</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%C3%89quation_de_Simon&veaction=edit&section=10" title="Modifier la section : Bibliographie" class="mw-editsection-visualeditor"><span>modifier</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=%C3%89quation_de_Simon&action=edit&section=10" title="Modifier le code source de la section : Bibliographie"><span>modifier le code</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><span class="ouvrage" id="Babb,_Jr.1963"><span class="ouvrage" id="Stanley_E._Babb,_Jr.1963"><abbr class="abbr indicateur-langue" title="Langue : anglais">(en)</abbr> Stanley E. Babb, Jr., « <cite style="font-style:normal" lang="en">Parameters in the Simon Equation Relating Pressure and Melting Temperature</cite> », <i><span class="lang-en" lang="en"><a href="/wiki/Reviews_of_Modern_Physics" title="Reviews of Modern Physics">Reviews of Modern Physics</a></span></i>, <abbr class="abbr" title="volume">vol.</abbr> 35,‎ <time class="nowrap" datetime="1963" data-sort-value="1963">avril-juin 1963</time>, <abbr class="abbr" title="pages">p.</abbr> <span class="nowrap">400-413</span> <small style="line-height:1em;">(<a href="/wiki/Digital_Object_Identifier" title="Digital Object Identifier">DOI</a> <span class="plainlinks noarchive nowrap"><a rel="nofollow" class="external text" href="https://dx.doi.org/10.1103/RevModPhys.35.400">10.1103/RevModPhys.35.400</a></span>)</small><span class="Z3988" title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Parameters+in+the+Simon+Equation+Relating+Pressure+and+Melting+Temperature&rft.jtitle=Reviews+of+Modern+Physics&rft.aulast=Babb%2C+Jr.&rft.aufirst=Stanley+E.&rft.date=1963&rft.volume=35&rft.pages=400-413&rft_id=info%3Adoi%2F10.1103%2FRevModPhys.35.400&rfr_id=info%3Asid%2Ffr.wikipedia.org%3A%C3%89quation+de+Simon"></span></span></span></li> <li><span class="ouvrage" id="BosioDefrainEpelboin1966"><span class="ouvrage" id="Louis_BosioAndré_DefrainIsraël_Epelboin1966">Louis Bosio, André Defrain et Israël Epelboin, « <cite style="font-style:normal">Changements de phase du gallium à la pression atmosphérique</cite> », <i><a href="/wiki/Journal_de_Physique" class="mw-redirect" title="Journal de Physique">Journal de Physique</a></i>, <abbr class="abbr" title="volume">vol.</abbr> 27, <abbr class="abbr" title="numéros">n<sup>os</sup></abbr> 1-2,‎ <time class="nowrap" datetime="1966-01-01" data-sort-value="1966-01-01"><abbr class="abbr" title="premier">1<sup>er</sup></abbr> janvier 1966</time>, <abbr class="abbr" title="pages">p.</abbr> <span class="nowrap">61-71</span> <small style="line-height:1em;">(<a href="/wiki/Digital_Object_Identifier" title="Digital Object Identifier">DOI</a> <span class="plainlinks noarchive nowrap"><a rel="nofollow" class="external text" href="https://dx.doi.org/10.1051/jphys%3A01966002701-206100">10.1051/jphys:01966002701-206100</a></span>, <a rel="nofollow" class="external text" href="https://hal.archives-ouvertes.fr/jpa-00206369/document">lire en ligne</a> <abbr class="abbr indicateur-format format-pdf" title="Document au format Portable Document Format (PDF) d'Adobe">[PDF]</abbr>)</small><span class="Z3988" title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Changements+de+phase+du+gallium+%C3%A0+la+pression+atmosph%C3%A9rique&rft.jtitle=Journal+de+Physique&rft.issue=1-2&rft.aulast=Bosio&rft.aufirst=Louis&rft.au=Andr%C3%A9+Defrain&rft.au=Isra%C3%ABl+Epelboin&rft.date=1966-01-01&rft.volume=27&rft.pages=61-71&rft_id=info%3Adoi%2F10.1051%2Fjphys%3A01966002701-206100&rfr_id=info%3Asid%2Ffr.wikipedia.org%3A%C3%89quation+de+Simon"></span></span></span>, <abbr class="abbr" title="pages">p.</abbr> <span class="nowrap">66-67</span></li> <li><span class="ouvrage" id="Le_Neindre1990"><span class="ouvrage" id="Bernard_Le_Neindre1990">Bernard Le Neindre, <cite class="italique">Effets des hautes et très hautes pressions</cite>, <a href="/wiki/%C3%89ditions_techniques_de_l%27ing%C3%A9nieur" title="Éditions techniques de l'ingénieur">Techniques de l'ingénieur</a>, <time class="nowrap" datetime="1990-12-10" data-sort-value="1990-12-10">10 décembre 1990</time>, 36 <abbr class="abbr" title="pages">p.</abbr> <small style="line-height:1em;">(<a rel="nofollow" class="external text" href="https://books.google.com/books?id=ONtLd67MBnEC&pg=PA23">lire en ligne</a>)</small>, <abbr class="abbr" title="pages">p.</abbr> <span class="nowrap">23-25</span><span class="Z3988" title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Effets+des+hautes+et+tr%C3%A8s+hautes+pressions&rft.pub=Techniques+de+l%27ing%C3%A9nieur&rft.au=Bernard+Le+Neindre&rft.date=1990-12-10&rft.pages=23-25&rft.tpages=36&rfr_id=info%3Asid%2Ffr.wikipedia.org%3A%C3%89quation+de+Simon"></span></span></span></li> <li><span class="ouvrage" id="Petitet2003"><span class="ouvrage" id="Jean-Pierre_Petitet2003">Jean-Pierre Petitet, <cite class="italique">Action de la pression sur les édifices moléculaires solides</cite>, <a href="/wiki/%C3%89ditions_techniques_de_l%27ing%C3%A9nieur" title="Éditions techniques de l'ingénieur">Techniques de l'ingénieur</a>, <time class="nowrap" datetime="2003-10-10" data-sort-value="2003-10-10">10 octobre 2003</time>, 13 <abbr class="abbr" title="pages">p.</abbr> <small style="line-height:1em;">(<a rel="nofollow" class="external text" href="https://books.google.com/books?id=76ZEvjAjIEMC&pg=PA2">lire en ligne</a>)</small>, <abbr class="abbr" title="page">p.</abbr> 2<span class="Z3988" title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Action+de+la+pression+sur+les+%C3%A9difices+mol%C3%A9culaires+solides&rft.pub=Techniques+de+l%27ing%C3%A9nieur&rft.aulast=Petitet&rft.aufirst=Jean-Pierre&rft.date=2003-10-10&rft.pages=2&rft.tpages=13&rfr_id=info%3Asid%2Ffr.wikipedia.org%3A%C3%89quation+de+Simon"></span></span></span></li></ul> <ul id="bandeau-portail" class="bandeau-portail"><li><span class="bandeau-portail-element"><span class="bandeau-portail-icone"><span class="noviewer" typeof="mw:File"><a href="/wiki/Portail:Physique" title="Portail de la 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