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熔化热 - 维基百科,自由的百科全书

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href="/wiki/Help:%E6%96%B0%E6%89%8B%E5%85%A5%E9%97%A8" aria-label="了解有关编辑的更多信息"><span>了解详情</span></a> </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="pt-anoncontribs" class="mw-list-item"><a href="/wiki/Special:%E6%88%91%E7%9A%84%E8%B4%A1%E7%8C%AE" title="来自此IP地址的编辑列表[y]" accesskey="y"><span>贡献</span></a></li><li id="pt-anontalk" class="mw-list-item"><a href="/wiki/Special:%E6%88%91%E7%9A%84%E8%AE%A8%E8%AE%BA%E9%A1%B5" title="对于来自此IP地址编辑的讨论[n]" accesskey="n"><span>讨论</span></a></li> </ul> </div> </div> </div> </div> </nav> </div> </header> </div> <div class="mw-page-container"> <div class="mw-page-container-inner"> <div class="vector-sitenotice-container"> <div id="siteNotice"><!-- CentralNotice --></div> </div> <div class="vector-column-start"> <div class="vector-main-menu-container"> <div id="mw-navigation"> <nav id="mw-panel" class="vector-main-menu-landmark" aria-label="站点"> <div id="vector-main-menu-pinned-container" 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class="vector-toc-list-item vector-toc-level-1"> <a href="#" class="vector-toc-link"> <div class="vector-toc-text">序言</div> </a> </li> <li id="toc-常见物质的熔化热" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#常见物质的熔化热"> <div class="vector-toc-text"> <span class="vector-toc-numb">1</span> <span>常见物质的熔化热</span> </div> </a> <ul id="toc-常见物质的熔化热-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-与溶解度的关系" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#与溶解度的关系"> <div class="vector-toc-text"> <span class="vector-toc-numb">2</span> <span>与溶解度的关系</span> </div> </a> <button aria-controls="toc-与溶解度的关系-sublist" class="cdx-button cdx-button--weight-quiet cdx-button--icon-only vector-toc-toggle"> <span class="vector-icon mw-ui-icon-wikimedia-expand"></span> <span>开关与溶解度的关系子章节</span> </button> <ul id="toc-与溶解度的关系-sublist" class="vector-toc-list"> <li id="toc-证明" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#证明"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.1</span> <span>证明</span> </div> </a> <ul id="toc-证明-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-参考资料" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#参考资料"> <div class="vector-toc-text"> <span class="vector-toc-numb">3</span> <span>参考资料</span> </div> </a> <ul id="toc-参考资料-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-参见" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#参见"> <div class="vector-toc-text"> <span class="vector-toc-numb">4</span> <span>参见</span> </div> </a> <ul id="toc-参见-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="目录" 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="开关目录" > <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">开关目录</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">熔化热</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="前往另一种语言写成的文章。54种语言可用" > <label id="p-lang-btn-label" for="p-lang-btn-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--action-progressive mw-portlet-lang-heading-54" aria-hidden="true" ><span class="vector-icon mw-ui-icon-language-progressive mw-ui-icon-wikimedia-language-progressive"></span> <span class="vector-dropdown-label-text">54种语言</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-af mw-list-item"><a href="https://af.wikipedia.org/wiki/Smeltingswarmte" title="Smeltingswarmte – 南非荷兰语" lang="af" hreflang="af" data-title="Smeltingswarmte" data-language-autonym="Afrikaans" data-language-local-name="南非荷兰语" class="interlanguage-link-target"><span>Afrikaans</span></a></li><li class="interlanguage-link interwiki-an mw-list-item"><a href="https://an.wikipedia.org/wiki/Entalp%C3%ADa_de_fusi%C3%B3n" title="Entalpía de fusión – 阿拉贡语" lang="an" hreflang="an" data-title="Entalpía de fusión" data-language-autonym="Aragonés" data-language-local-name="阿拉贡语" class="interlanguage-link-target"><span>Aragonés</span></a></li><li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://ar.wikipedia.org/wiki/%D8%AD%D8%B1%D8%A7%D8%B1%D8%A9_%D8%A7%D9%84%D8%A7%D9%86%D8%B5%D9%87%D8%A7%D8%B1" title="حرارة الانصهار – 阿拉伯语" lang="ar" hreflang="ar" data-title="حرارة الانصهار" data-language-autonym="العربية" data-language-local-name="阿拉伯语" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-ast mw-list-item"><a href="https://ast.wikipedia.org/wiki/Entalp%C3%ADa_de_fusi%C3%B3n" title="Entalpía de fusión – 阿斯图里亚斯语" lang="ast" hreflang="ast" data-title="Entalpía de fusión" data-language-autonym="Asturianu" data-language-local-name="阿斯图里亚斯语" class="interlanguage-link-target"><span>Asturianu</span></a></li><li class="interlanguage-link interwiki-bg mw-list-item"><a href="https://bg.wikipedia.org/wiki/%D0%A1%D0%BF%D0%B5%D1%86%D0%B8%D1%84%D0%B8%D1%87%D0%BD%D0%B0_%D1%82%D0%BE%D0%BF%D0%BB%D0%B8%D0%BD%D0%B0_%D0%BD%D0%B0_%D1%82%D0%BE%D0%BF%D0%B5%D0%BD%D0%B5" title="Специфична топлина на топене – 保加利亚语" lang="bg" hreflang="bg" data-title="Специфична топлина на топене" data-language-autonym="Български" data-language-local-name="保加利亚语" class="interlanguage-link-target"><span>Български</span></a></li><li class="interlanguage-link interwiki-bn mw-list-item"><a href="https://bn.wikipedia.org/wiki/%E0%A6%97%E0%A6%B2%E0%A6%A8%E0%A7%87%E0%A6%B0_%E0%A6%85%E0%A6%AD%E0%A7%8D%E0%A6%AF%E0%A6%A8%E0%A7%8D%E0%A6%A4%E0%A6%B0%E0%A7%80%E0%A6%A3_%E0%A6%A4%E0%A6%BE%E0%A6%AA%E0%A6%97%E0%A6%A4%E0%A7%80%E0%A6%AF%E0%A6%BC_%E0%A6%AC%E0%A6%BF%E0%A6%AD%E0%A6%AC" title="গলনের অভ্যন্তরীণ তাপগতীয় বিভব – 孟加拉语" lang="bn" hreflang="bn" data-title="গলনের অভ্যন্তরীণ তাপগতীয় বিভব" data-language-autonym="বাংলা" data-language-local-name="孟加拉语" class="interlanguage-link-target"><span>বাংলা</span></a></li><li class="interlanguage-link interwiki-bs mw-list-item"><a href="https://bs.wikipedia.org/wiki/Toplota_topljenja" title="Toplota topljenja – 波斯尼亚语" lang="bs" hreflang="bs" data-title="Toplota topljenja" data-language-autonym="Bosanski" data-language-local-name="波斯尼亚语" class="interlanguage-link-target"><span>Bosanski</span></a></li><li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/Calor_de_fusi%C3%B3" title="Calor de fusió – 加泰罗尼亚语" lang="ca" hreflang="ca" data-title="Calor de fusió" data-language-autonym="Català" data-language-local-name="加泰罗尼亚语" class="interlanguage-link-target"><span>Català</span></a></li><li class="interlanguage-link interwiki-cs mw-list-item"><a href="https://cs.wikipedia.org/wiki/M%C4%9Brn%C3%A9_skupensk%C3%A9_teplo_t%C3%A1n%C3%AD" title="Měrné skupenské teplo tání – 捷克语" lang="cs" hreflang="cs" data-title="Měrné skupenské teplo tání" data-language-autonym="Čeština" data-language-local-name="捷克语" class="interlanguage-link-target"><span>Čeština</span></a></li><li class="interlanguage-link interwiki-cv mw-list-item"><a href="https://cv.wikipedia.org/wiki/%D0%A8%C4%83%D1%80%D0%B0%D0%BD%D0%BD%D0%B8%D0%BD_%D0%BF%D0%B0%D0%B9%D0%BB%D0%B0%D0%B2%D0%BB%D0%B0_%C4%83%D1%88%D1%88%D0%B8" title="Шăраннин пайлавла ăшши – 楚瓦什语" lang="cv" hreflang="cv" data-title="Шăраннин пайлавла ăшши" data-language-autonym="Чӑвашла" data-language-local-name="楚瓦什语" class="interlanguage-link-target"><span>Чӑвашла</span></a></li><li class="interlanguage-link interwiki-da mw-list-item"><a href="https://da.wikipedia.org/wiki/Smeltevarme" title="Smeltevarme – 丹麦语" lang="da" hreflang="da" data-title="Smeltevarme" data-language-autonym="Dansk" data-language-local-name="丹麦语" class="interlanguage-link-target"><span>Dansk</span></a></li><li class="interlanguage-link interwiki-de mw-list-item"><a href="https://de.wikipedia.org/wiki/Schmelzenthalpie" title="Schmelzenthalpie – 德语" lang="de" hreflang="de" data-title="Schmelzenthalpie" data-language-autonym="Deutsch" data-language-local-name="德语" class="interlanguage-link-target"><span>Deutsch</span></a></li><li class="interlanguage-link interwiki-en mw-list-item"><a href="https://en.wikipedia.org/wiki/Enthalpy_of_fusion" title="Enthalpy of fusion – 英语" lang="en" hreflang="en" data-title="Enthalpy of fusion" data-language-autonym="English" data-language-local-name="英语" class="interlanguage-link-target"><span>English</span></a></li><li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/Entalp%C3%ADa_de_fusi%C3%B3n" title="Entalpía de fusión – 西班牙语" lang="es" hreflang="es" data-title="Entalpía de fusión" data-language-autonym="Español" data-language-local-name="西班牙语" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-et mw-list-item"><a href="https://et.wikipedia.org/wiki/Sulamissoojus" title="Sulamissoojus – 爱沙尼亚语" lang="et" hreflang="et" data-title="Sulamissoojus" data-language-autonym="Eesti" data-language-local-name="爱沙尼亚语" class="interlanguage-link-target"><span>Eesti</span></a></li><li class="interlanguage-link interwiki-eu mw-list-item"><a href="https://eu.wikipedia.org/wiki/Urtze-entalpia" title="Urtze-entalpia – 巴斯克语" lang="eu" hreflang="eu" data-title="Urtze-entalpia" data-language-autonym="Euskara" data-language-local-name="巴斯克语" class="interlanguage-link-target"><span>Euskara</span></a></li><li class="interlanguage-link interwiki-fa mw-list-item"><a href="https://fa.wikipedia.org/wiki/%D8%A2%D9%86%D8%AA%D8%A7%D9%84%D9%BE%DB%8C_%D8%B0%D9%88%D8%A8" title="آنتالپی ذوب – 波斯语" lang="fa" hreflang="fa" data-title="آنتالپی ذوب" data-language-autonym="فارسی" data-language-local-name="波斯语" class="interlanguage-link-target"><span>فارسی</span></a></li><li class="interlanguage-link interwiki-fi mw-list-item"><a href="https://fi.wikipedia.org/wiki/Sulamisl%C3%A4mp%C3%B6" title="Sulamislämpö – 芬兰语" lang="fi" hreflang="fi" data-title="Sulamislämpö" data-language-autonym="Suomi" data-language-local-name="芬兰语" class="interlanguage-link-target"><span>Suomi</span></a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/Enthalpie_de_fusion" title="Enthalpie de fusion – 法语" lang="fr" hreflang="fr" data-title="Enthalpie de fusion" data-language-autonym="Français" data-language-local-name="法语" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-gl mw-list-item"><a href="https://gl.wikipedia.org/wiki/Entalp%C3%ADa_de_fusi%C3%B3n" title="Entalpía de fusión – 加利西亚语" lang="gl" hreflang="gl" data-title="Entalpía de fusión" data-language-autonym="Galego" data-language-local-name="加利西亚语" class="interlanguage-link-target"><span>Galego</span></a></li><li class="interlanguage-link interwiki-hr mw-list-item"><a href="https://hr.wikipedia.org/wiki/Toplina_taljenja" title="Toplina taljenja – 克罗地亚语" lang="hr" hreflang="hr" data-title="Toplina taljenja" data-language-autonym="Hrvatski" data-language-local-name="克罗地亚语" class="interlanguage-link-target"><span>Hrvatski</span></a></li><li class="interlanguage-link interwiki-hu mw-list-item"><a href="https://hu.wikipedia.org/wiki/Olvad%C3%A1sh%C5%91" title="Olvadáshő – 匈牙利语" lang="hu" hreflang="hu" data-title="Olvadáshő" data-language-autonym="Magyar" data-language-local-name="匈牙利语" class="interlanguage-link-target"><span>Magyar</span></a></li><li class="interlanguage-link interwiki-hy mw-list-item"><a href="https://hy.wikipedia.org/wiki/%D5%8F%D5%A5%D5%BD%D5%A1%D5%AF%D5%A1%D6%80%D5%A1%D6%80_%D5%B0%D5%A1%D5%AC%D5%B4%D5%A1%D5%B6_%D5%BB%D5%A5%D6%80%D5%B4%D5%B8%D6%82%D5%A9%D5%B5%D5%B8%D6%82%D5%B6" title="Տեսակարար հալման ջերմություն – 亚美尼亚语" lang="hy" hreflang="hy" data-title="Տեսակարար հալման ջերմություն" data-language-autonym="Հայերեն" data-language-local-name="亚美尼亚语" class="interlanguage-link-target"><span>Հայերեն</span></a></li><li class="interlanguage-link interwiki-ia mw-list-item"><a href="https://ia.wikipedia.org/wiki/Enthalpia_de_fusion" title="Enthalpia de fusion – 国际语" lang="ia" hreflang="ia" data-title="Enthalpia de fusion" data-language-autonym="Interlingua" data-language-local-name="国际语" class="interlanguage-link-target"><span>Interlingua</span></a></li><li class="interlanguage-link interwiki-id mw-list-item"><a href="https://id.wikipedia.org/wiki/Kalor_peleburan" title="Kalor peleburan – 印度尼西亚语" lang="id" hreflang="id" data-title="Kalor peleburan" data-language-autonym="Bahasa Indonesia" data-language-local-name="印度尼西亚语" class="interlanguage-link-target"><span>Bahasa Indonesia</span></a></li><li class="interlanguage-link interwiki-it mw-list-item"><a href="https://it.wikipedia.org/wiki/Entalpia_di_fusione" title="Entalpia di fusione – 意大利语" lang="it" hreflang="it" data-title="Entalpia di fusione" data-language-autonym="Italiano" data-language-local-name="意大利语" class="interlanguage-link-target"><span>Italiano</span></a></li><li class="interlanguage-link interwiki-ja mw-list-item"><a href="https://ja.wikipedia.org/wiki/%E8%9E%8D%E8%A7%A3%E7%86%B1" title="融解熱 – 日语" lang="ja" hreflang="ja" data-title="融解熱" data-language-autonym="日本語" data-language-local-name="日语" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-jbo mw-list-item"><a href="https://jbo.wikipedia.org/wiki/manri_dujbi%27o_nejni" title="manri dujbi&#039;o nejni – 逻辑语" lang="jbo" hreflang="jbo" data-title="manri dujbi&#039;o nejni" data-language-autonym="La .lojban." data-language-local-name="逻辑语" class="interlanguage-link-target"><span>La .lojban.</span></a></li><li class="interlanguage-link interwiki-ka mw-list-item"><a href="https://ka.wikipedia.org/wiki/%E1%83%93%E1%83%9C%E1%83%9D%E1%83%91%E1%83%98%E1%83%A1_%E1%83%99%E1%83%A3%E1%83%97%E1%83%A0%E1%83%98_%E1%83%A1%E1%83%98%E1%83%97%E1%83%91%E1%83%9D" title="დნობის კუთრი სითბო – 格鲁吉亚语" lang="ka" hreflang="ka" data-title="დნობის კუთრი სითბო" data-language-autonym="ქართული" data-language-local-name="格鲁吉亚语" class="interlanguage-link-target"><span>ქართული</span></a></li><li class="interlanguage-link interwiki-kk mw-list-item"><a href="https://kk.wikipedia.org/wiki/%D0%91%D0%B0%D0%BB%D2%9B%D1%8B%D1%82%D1%83_%D0%B6%D1%8B%D0%BB%D1%83%D0%BB%D1%8B%D2%93%D1%8B" title="Балқыту жылулығы – 哈萨克语" lang="kk" hreflang="kk" data-title="Балқыту жылулығы" data-language-autonym="Қазақша" data-language-local-name="哈萨克语" class="interlanguage-link-target"><span>Қазақша</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%EC%9C%B5%ED%95%B4%EC%97%B4" title="융해열 – 韩语" lang="ko" hreflang="ko" data-title="융해열" data-language-autonym="한국어" data-language-local-name="韩语" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-lt mw-list-item"><a href="https://lt.wikipedia.org/wiki/Lydymosi_%C5%A1iluma" title="Lydymosi šiluma – 立陶宛语" lang="lt" hreflang="lt" data-title="Lydymosi šiluma" data-language-autonym="Lietuvių" data-language-local-name="立陶宛语" class="interlanguage-link-target"><span>Lietuvių</span></a></li><li class="interlanguage-link interwiki-ml mw-list-item"><a href="https://ml.wikipedia.org/wiki/%E0%B4%A6%E0%B5%8D%E0%B4%B0%E0%B4%B5%E0%B5%80%E2%80%8C%E0%B4%95%E0%B4%B0%E0%B4%A3_%E0%B4%B2%E0%B5%80%E0%B4%A8%E0%B4%A4%E0%B4%BE%E0%B4%AA%E0%B4%82" title="ദ്രവീ‌കരണ ലീനതാപം – 马拉雅拉姆语" lang="ml" hreflang="ml" data-title="ദ്രവീ‌കരണ ലീനതാപം" data-language-autonym="മലയാളം" data-language-local-name="马拉雅拉姆语" class="interlanguage-link-target"><span>മലയാളം</span></a></li><li class="interlanguage-link interwiki-ms mw-list-item"><a href="https://ms.wikipedia.org/wiki/Entalpi_pelakuran" title="Entalpi pelakuran – 马来语" lang="ms" hreflang="ms" data-title="Entalpi pelakuran" data-language-autonym="Bahasa Melayu" data-language-local-name="马来语" class="interlanguage-link-target"><span>Bahasa Melayu</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Smeltwarmte" title="Smeltwarmte – 荷兰语" lang="nl" hreflang="nl" data-title="Smeltwarmte" data-language-autonym="Nederlands" data-language-local-name="荷兰语" class="interlanguage-link-target"><span>Nederlands</span></a></li><li class="interlanguage-link interwiki-nn mw-list-item"><a href="https://nn.wikipedia.org/wiki/Smeltevarme" title="Smeltevarme – 挪威尼诺斯克语" lang="nn" hreflang="nn" data-title="Smeltevarme" data-language-autonym="Norsk nynorsk" data-language-local-name="挪威尼诺斯克语" class="interlanguage-link-target"><span>Norsk nynorsk</span></a></li><li class="interlanguage-link interwiki-no mw-list-item"><a href="https://no.wikipedia.org/wiki/Smeltevarme" title="Smeltevarme – 书面挪威语" lang="nb" hreflang="nb" data-title="Smeltevarme" data-language-autonym="Norsk bokmål" data-language-local-name="书面挪威语" class="interlanguage-link-target"><span>Norsk bokmål</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/Ciep%C5%82o_topnienia" title="Ciepło topnienia – 波兰语" lang="pl" hreflang="pl" data-title="Ciepło topnienia" data-language-autonym="Polski" data-language-local-name="波兰语" class="interlanguage-link-target"><span>Polski</span></a></li><li class="interlanguage-link interwiki-pt mw-list-item"><a href="https://pt.wikipedia.org/wiki/Calor_de_fus%C3%A3o" title="Calor de fusão – 葡萄牙语" lang="pt" hreflang="pt" data-title="Calor de fusão" data-language-autonym="Português" data-language-local-name="葡萄牙语" class="interlanguage-link-target"><span>Português</span></a></li><li class="interlanguage-link interwiki-ro mw-list-item"><a href="https://ro.wikipedia.org/wiki/Entalpie_de_topire" title="Entalpie de topire – 罗马尼亚语" lang="ro" hreflang="ro" data-title="Entalpie de topire" data-language-autonym="Română" data-language-local-name="罗马尼亚语" class="interlanguage-link-target"><span>Română</span></a></li><li class="interlanguage-link interwiki-ru mw-list-item"><a href="https://ru.wikipedia.org/wiki/%D0%A3%D0%B4%D0%B5%D0%BB%D1%8C%D0%BD%D0%B0%D1%8F_%D1%82%D0%B5%D0%BF%D0%BB%D0%BE%D1%82%D0%B0_%D0%BF%D0%BB%D0%B0%D0%B2%D0%BB%D0%B5%D0%BD%D0%B8%D1%8F" title="Удельная теплота плавления – 俄语" lang="ru" hreflang="ru" data-title="Удельная теплота плавления" data-language-autonym="Русский" data-language-local-name="俄语" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-sh mw-list-item"><a href="https://sh.wikipedia.org/wiki/Toplota_topljenja" title="Toplota topljenja – 塞尔维亚-克罗地亚语" lang="sh" hreflang="sh" data-title="Toplota topljenja" data-language-autonym="Srpskohrvatski / српскохрватски" data-language-local-name="塞尔维亚-克罗地亚语" class="interlanguage-link-target"><span>Srpskohrvatski / српскохрватски</span></a></li><li class="interlanguage-link interwiki-si mw-list-item"><a href="https://si.wikipedia.org/wiki/%E0%B7%80%E0%B7%92%E0%B6%BD%E0%B6%BA%E0%B6%B1_%E0%B6%91%E0%B6%B1%E0%B7%8A%E0%B6%AD%E0%B7%90%E0%B6%BD%E0%B7%8A%E0%B6%B4%E0%B7%92%E0%B6%BA" title="විලයන එන්තැල්පිය – 僧伽罗语" lang="si" hreflang="si" data-title="විලයන එන්තැල්පිය" data-language-autonym="සිංහල" data-language-local-name="僧伽罗语" class="interlanguage-link-target"><span>සිංහල</span></a></li><li class="interlanguage-link interwiki-simple mw-list-item"><a href="https://simple.wikipedia.org/wiki/Enthalpy_of_fusion" title="Enthalpy of fusion – Simple English" lang="en-simple" hreflang="en-simple" data-title="Enthalpy of fusion" data-language-autonym="Simple English" data-language-local-name="Simple English" class="interlanguage-link-target"><span>Simple English</span></a></li><li class="interlanguage-link interwiki-sk mw-list-item"><a href="https://sk.wikipedia.org/wiki/Mern%C3%A9_skupensk%C3%A9_teplo_topenia" title="Merné skupenské teplo topenia – 斯洛伐克语" lang="sk" hreflang="sk" data-title="Merné skupenské teplo topenia" data-language-autonym="Slovenčina" data-language-local-name="斯洛伐克语" class="interlanguage-link-target"><span>Slovenčina</span></a></li><li class="interlanguage-link interwiki-sl mw-list-item"><a href="https://sl.wikipedia.org/wiki/Talilna_toplota" title="Talilna toplota – 斯洛文尼亚语" lang="sl" hreflang="sl" data-title="Talilna toplota" data-language-autonym="Slovenščina" data-language-local-name="斯洛文尼亚语" class="interlanguage-link-target"><span>Slovenščina</span></a></li><li class="interlanguage-link interwiki-sr mw-list-item"><a href="https://sr.wikipedia.org/wiki/%D0%A2%D0%BE%D0%BF%D0%BB%D0%BE%D1%82%D0%B0_%D1%82%D0%BE%D0%BF%D1%99%D0%B5%D1%9A%D0%B0" title="Топлота топљења – 塞尔维亚语" lang="sr" hreflang="sr" data-title="Топлота топљења" data-language-autonym="Српски / srpski" data-language-local-name="塞尔维亚语" class="interlanguage-link-target"><span>Српски / srpski</span></a></li><li class="interlanguage-link interwiki-sv mw-list-item"><a href="https://sv.wikipedia.org/wiki/Sm%C3%A4ltv%C3%A4rme" title="Smältvärme – 瑞典语" lang="sv" hreflang="sv" data-title="Smältvärme" data-language-autonym="Svenska" data-language-local-name="瑞典语" class="interlanguage-link-target"><span>Svenska</span></a></li><li class="interlanguage-link interwiki-tg mw-list-item"><a href="https://tg.wikipedia.org/wiki/%D0%93%D0%B0%D1%80%D0%BC%D0%BE%D0%B8_%D0%B3%D1%83%D0%B4%D0%BE%D0%B7%D0%B8%D1%88" title="Гармои гудозиш – 塔吉克语" lang="tg" hreflang="tg" data-title="Гармои гудозиш" data-language-autonym="Тоҷикӣ" data-language-local-name="塔吉克语" class="interlanguage-link-target"><span>Тоҷикӣ</span></a></li><li class="interlanguage-link interwiki-th mw-list-item"><a href="https://th.wikipedia.org/wiki/%E0%B8%84%E0%B8%A7%E0%B8%B2%E0%B8%A1%E0%B8%A3%E0%B9%89%E0%B8%AD%E0%B8%99%E0%B9%81%E0%B8%9D%E0%B8%87%E0%B8%82%E0%B8%AD%E0%B8%87%E0%B8%81%E0%B8%B2%E0%B8%A3%E0%B8%AB%E0%B8%A5%E0%B8%AD%E0%B8%A1%E0%B9%80%E0%B8%AB%E0%B8%A5%E0%B8%A7" title="ความร้อนแฝงของการหลอมเหลว – 泰语" lang="th" hreflang="th" data-title="ความร้อนแฝงของการหลอมเหลว" data-language-autonym="ไทย" data-language-local-name="泰语" class="interlanguage-link-target"><span>ไทย</span></a></li><li class="interlanguage-link interwiki-uk mw-list-item"><a href="https://uk.wikipedia.org/wiki/%D0%A2%D0%B5%D0%BF%D0%BB%D0%BE%D1%82%D0%B0_%D0%BF%D0%BB%D0%B0%D0%B2%D0%BB%D0%B5%D0%BD%D0%BD%D1%8F" title="Теплота плавлення – 乌克兰语" lang="uk" hreflang="uk" data-title="Теплота плавлення" data-language-autonym="Українська" data-language-local-name="乌克兰语" class="interlanguage-link-target"><span>Українська</span></a></li><li class="interlanguage-link interwiki-ur mw-list-item"><a href="https://ur.wikipedia.org/wiki/%D8%B3%D8%AE%D8%A7%D9%86%DB%82_%D8%A7%D8%A6%D8%AA%D9%84%D8%A7%D9%81" title="سخانۂ ائتلاف – 乌尔都语" lang="ur" hreflang="ur" data-title="سخانۂ ائتلاف" data-language-autonym="اردو" data-language-local-name="乌尔都语" class="interlanguage-link-target"><span>اردو</span></a></li><li class="interlanguage-link interwiki-uz mw-list-item"><a href="https://uz.wikipedia.org/wiki/Solishtirma_erish_issiqligi" title="Solishtirma erish issiqligi – 乌兹别克语" lang="uz" hreflang="uz" data-title="Solishtirma erish issiqligi" data-language-autonym="Oʻzbekcha / ўзбекча" data-language-local-name="乌兹别克语" class="interlanguage-link-target"><span>Oʻzbekcha / ўзбекча</span></a></li><li class="interlanguage-link interwiki-vi mw-list-item"><a href="https://vi.wikipedia.org/wiki/Nhi%E1%BB%87t_n%C3%B3ng_ch%E1%BA%A3y" title="Nhiệt nóng chảy – 越南语" lang="vi" hreflang="vi" data-title="Nhiệt nóng chảy" data-language-autonym="Tiếng Việt" data-language-local-name="越南语" class="interlanguage-link-target"><span>Tiếng Việt</span></a></li> </ul> <div class="after-portlet after-portlet-lang"><span class="wb-langlinks-edit wb-langlinks-link"><a href="https://www.wikidata.org/wiki/Special:EntityPage/Q484790#sitelinks-wikipedia" title="编辑跨语言链接" class="wbc-editpage">编辑链接</a></span></div> </div> </div> </div> </header> <div class="vector-page-toolbar"> <div class="vector-page-toolbar-container"> <div id="left-navigation"> <nav aria-label="命名空间"> <div id="p-associated-pages" class="vector-menu vector-menu-tabs mw-portlet mw-portlet-associated-pages" > <div 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id="mw-content-subtitle"></div></div> <div id="mw-content-text" class="mw-body-content"><div class="mw-content-ltr mw-parser-output" lang="zh" dir="ltr"><p><b>熔化热</b>,亦称<b>熔解热</b><sup id="cite_ref-gaomiao_1-0" class="reference"><a href="#cite_note-gaomiao-1"><span class="cite-bracket">&#91;</span>1<span class="cite-bracket">&#93;</span></a></sup>,是单位质量物质由固态转化为液态时,物体需要吸收的热量<sup id="cite_ref-gaomiao_1-1" class="reference"><a href="#cite_note-gaomiao-1"><span class="cite-bracket">&#91;</span>1<span class="cite-bracket">&#93;</span></a></sup>。物体熔化时的温度称为<a href="/wiki/%E7%86%94%E7%82%B9" title="熔点">熔点</a>。 </p><p>熔化热是一种<a href="/wiki/%E6%BD%9B%E7%86%B1" title="潛熱">潜热</a>,在<a href="/wiki/%E7%86%94%E5%8C%96" title="熔化">熔化</a>的过程中,物质不断吸收<a href="/wiki/%E7%83%AD%E9%87%8F" class="mw-redirect" title="热量">热量</a>而<a href="/wiki/%E6%B8%A9%E5%BA%A6" title="温度">温度</a>不变,因此不能通过温度的变化直接探测到这一热量。每种物质具有不同的熔化热。<a href="/wiki/%E6%99%B6%E4%BD%93" title="晶体">晶体</a>在一定压强下具有固定的熔点,也具有固定的熔化热;非晶体,比如<a href="/wiki/%E7%8E%BB%E7%92%83" title="玻璃">玻璃</a>和<a href="/wiki/%E5%A1%91%E6%96%99" title="塑料">塑料</a>,不具有固定的熔点,因而也不具有固定的熔化热。<sup id="cite_ref-zhaozhimin_2-0" class="reference"><a href="#cite_note-zhaozhimin-2"><span class="cite-bracket">&#91;</span>2<span class="cite-bracket">&#93;</span></a></sup> </p><p>同一种物质中,<a href="/wiki/%E6%B6%B2%E6%80%81" class="mw-redirect" title="液态">液态</a>比<a href="/wiki/%E5%9B%BA%E6%80%81" class="mw-redirect" title="固态">固态</a>拥有更高的<a href="/wiki/%E5%86%85%E8%83%BD" title="内能">内能</a>,因此,在熔化的过程中,固态物质要吸收热量来转变为液态。同样,物质由液态转变为固态时,也要释放相同的能量。<sup id="cite_ref-gaomiao_1-2" class="reference"><a href="#cite_note-gaomiao-1"><span class="cite-bracket">&#91;</span>1<span class="cite-bracket">&#93;</span></a></sup>液体中的物质微粒与固体中的相比,受到更小的<a href="/wiki/%E5%88%86%E5%AD%90%E9%97%B4%E4%BD%9C%E7%94%A8%E5%8A%9B" title="分子间作用力">分子间作用力</a>,因此拥有更高的内能。 </p><p>熔化热的数值在大多数情况下是大于0的,表示物体在熔化时吸热,在凝固时放热,而<a href="/wiki/%E6%B0%A6" title="氦">氦</a>是唯一的例外。<sup id="cite_ref-FOOTNOTEAtkinsJones2008236_3-0" class="reference"><a href="#cite_note-FOOTNOTEAtkinsJones2008236-3"><span class="cite-bracket">&#91;</span>3<span class="cite-bracket">&#93;</span></a></sup><a href="/wiki/%E6%B0%A6-3" title="氦-3">氦-3</a>在温度为0.3<a href="/wiki/%E5%BC%80%E5%B0%94%E6%96%87" title="开尔文">开尔文</a>以下时,熔化热小于0。<a href="/wiki/%E6%B0%A6-4" title="氦-4">氦-4</a>在温度为0.8<a href="/wiki/%E5%BC%80%E5%B0%94%E6%96%87" title="开尔文">开尔文</a>以下是也轻微地显示出这种效应。这说明,在一定的恒定压强下,这些物质凝固时会吸收热量。<sup id="cite_ref-FOOTNOTEOttBoerio-Goates200092–93_4-0" class="reference"><a href="#cite_note-FOOTNOTEOttBoerio-Goates200092–93-4"><span class="cite-bracket">&#91;</span>4<span class="cite-bracket">&#93;</span></a></sup> </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="常见物质的熔化热"><span id=".E5.B8.B8.E8.A7.81.E7.89.A9.E8.B4.A8.E7.9A.84.E7.86.94.E5.8C.96.E7.83.AD"></span>常见物质的熔化热</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%E7%86%94%E5%8C%96%E7%83%AD&amp;action=edit&amp;section=1" title="编辑章节:常见物质的熔化热"><span>编辑</span></a><span class="mw-editsection-bracket">]</span></span></div> <figure class="mw-halign-right" typeof="mw:File/Thumb"><a href="/wiki/File:Enthalpy_of_Fusion_period_three.PNG" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/d/dd/Enthalpy_of_Fusion_period_three.PNG/150px-Enthalpy_of_Fusion_period_three.PNG" decoding="async" width="150" height="76" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/d/dd/Enthalpy_of_Fusion_period_three.PNG/225px-Enthalpy_of_Fusion_period_three.PNG 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/d/dd/Enthalpy_of_Fusion_period_three.PNG/300px-Enthalpy_of_Fusion_period_three.PNG 2x" data-file-width="747" data-file-height="379" /></a><figcaption><a href="/wiki/%E5%85%83%E7%B4%A0%E5%91%A8%E6%9C%9F%E8%A1%A8" title="元素周期表">第三周期元素</a>的摩尔熔化热</figcaption></figure><figure class="mw-halign-right" typeof="mw:File/Thumb"><a href="/wiki/File:Molar_heat_of_fusion_period_two.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/7/70/Molar_heat_of_fusion_period_two.png/150px-Molar_heat_of_fusion_period_two.png" decoding="async" width="150" height="76" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/7/70/Molar_heat_of_fusion_period_two.png/225px-Molar_heat_of_fusion_period_two.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/7/70/Molar_heat_of_fusion_period_two.png/300px-Molar_heat_of_fusion_period_two.png 2x" data-file-width="770" data-file-height="389" /></a><figcaption><a href="/wiki/%E5%85%83%E7%B4%A0%E5%91%A8%E6%9C%9F%E8%A1%A8" title="元素周期表">第二周期元素</a>的摩尔熔化热</figcaption></figure> <table class="wikitable sortable"> <tbody><tr> <th>物质 </th> <th>熔化热<br /> (<a href="/wiki/%E5%8D%A1%E8%B7%AF%E9%87%8C" title="卡路里">卡路里</a>/<a href="/wiki/%E5%85%8B" title="克">克</a>) </th> <th>Heat of fusion<br /> (千<a href="/wiki/%E7%84%A6%E8%80%B3" title="焦耳">焦耳</a>/<a href="/wiki/%E5%8D%83%E5%85%8B" title="千克">千克</a>) </th></tr> <tr> <td><a href="/wiki/%E6%B0%B4" title="水">水</a> </td> <td>79.8 </td> <td>334<sup id="cite_ref-5" class="reference"><a href="#cite_note-5"><span class="cite-bracket">&#91;</span>5<span class="cite-bracket">&#93;</span></a></sup> </td></tr> <tr> <td><a href="/wiki/%E7%94%B2%E7%83%B7" title="甲烷">甲烷</a> </td> <td>13.97 </td> <td>58.682<sup id="cite_ref-6" class="reference"><a href="#cite_note-6"><span class="cite-bracket">&#91;</span>6<span class="cite-bracket">&#93;</span></a></sup> </td></tr> <tr> <td><a href="/wiki/%E4%B8%99%E7%83%B7" title="丙烷">丙烷</a> </td> <td>19.03 </td> <td>79.917 </td></tr> <tr> <td><a href="/wiki/%E7%94%98%E6%B2%B9" title="甘油">甘油</a> </td> <td>47.76 </td> <td>200.62<sup id="cite_ref-7" class="reference"><a href="#cite_note-7"><span class="cite-bracket">&#91;</span>7<span class="cite-bracket">&#93;</span></a></sup> </td></tr> <tr> <td><a href="/wiki/%E7%94%B2%E9%85%B8" title="甲酸">甲酸</a> </td> <td>66.05 </td> <td>276.35<sup id="cite_ref-8" class="reference"><a href="#cite_note-8"><span class="cite-bracket">&#91;</span>8<span class="cite-bracket">&#93;</span></a></sup> </td></tr> <tr> <td><a href="/wiki/%E4%B9%99%E9%85%B8" title="乙酸">乙酸</a> </td> <td>25.91 </td> <td>108.83<sup id="cite_ref-9" class="reference"><a href="#cite_note-9"><span class="cite-bracket">&#91;</span>9<span class="cite-bracket">&#93;</span></a></sup> </td></tr> <tr> <td><a href="/wiki/%E4%B8%99%E9%85%AE" title="丙酮">丙酮</a> </td> <td>23.45 </td> <td>98.48<sup id="cite_ref-10" class="reference"><a href="#cite_note-10"><span class="cite-bracket">&#91;</span>10<span class="cite-bracket">&#93;</span></a></sup> </td></tr> <tr> <td><a href="/wiki/%E8%8B%AF" title="苯">苯</a> </td> <td>30.09 </td> <td>126.39<sup id="cite_ref-11" class="reference"><a href="#cite_note-11"><span class="cite-bracket">&#91;</span>11<span class="cite-bracket">&#93;</span></a></sup> </td></tr> <tr> <td><a href="/wiki/%E8%82%89%E8%B1%86%E8%94%BB%E9%85%B8" title="肉豆蔻酸">肉豆蔻酸</a> </td> <td>47.49 </td> <td>198.70 </td></tr> <tr> <td><a href="/wiki/%E6%A3%95%E6%A6%88%E9%85%B8" class="mw-redirect" title="棕榈酸">棕榈酸</a> </td> <td>39.18 </td> <td>163.93 </td></tr> <tr> <td><a href="/wiki/%E7%A1%AC%E8%84%82%E9%85%B8" title="硬脂酸">硬脂酸</a> </td> <td>47.54 </td> <td>198.91 </td></tr> <tr> <td><a href="/wiki/%E7%9F%B3%E8%9C%A1" title="石蜡">石蜡</a>(<span class="chemf nowrap">C<span style="line-height:1.2em;text-indent:0em;display:inline-block;margin-bottom:-0.3em;vertical-align:-0.4em;font-size:70%;text-align:left"><br />25</span>H<span style="line-height:1.2em;text-indent:0em;display:inline-block;margin-bottom:-0.3em;vertical-align:-0.4em;font-size:70%;text-align:left"><br />52</span></span>) </td> <td>47.8-52.6 </td> <td>200–220 </td></tr> </tbody></table> <p><small>数据均为1<a href="/wiki/%E6%A0%87%E5%87%86%E5%A4%A7%E6%B0%94%E5%8E%8B" title="标准大气压">标准大气压</a>,熔点时的值。</small> </p> <div class="mw-heading mw-heading2"><h2 id="与溶解度的关系"><span id=".E4.B8.8E.E6.BA.B6.E8.A7.A3.E5.BA.A6.E7.9A.84.E5.85.B3.E7.B3.BB"></span>与溶解度的关系</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%E7%86%94%E5%8C%96%E7%83%AD&amp;action=edit&amp;section=2" title="编辑章节:与溶解度的关系"><span>编辑</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>熔化热数据也能用来计算固体物质在水中的<a href="/wiki/%E6%BA%B6%E8%A7%A3%E5%BA%A6" title="溶解度">溶解度</a>。在<a href="/wiki/%E7%90%86%E6%83%B3%E6%BA%B6%E6%B6%B2" title="理想溶液">理想溶液</a>中,<a href="/wiki/%E6%BA%B6%E8%B4%A8" title="溶质">溶质</a>达到饱和时的<a href="/wiki/%E6%91%A9%E5%B0%94%E5%88%86%E6%95%B0" title="摩尔分数">摩尔分数</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 x_{2}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle x_{2}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/d7af1b928f06e4c7e3e8ebfd60704656719bd766" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:2.384ex; height:2.009ex;" alt="{\displaystyle x_{2}}"></span>是该溶质熔化热、<a href="/wiki/%E7%86%94%E7%82%B9" title="熔点">熔点</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_{f}us}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>T</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>f</mi> </mrow> </msub> <mi>u</mi> <mi>s</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle T_{f}us}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/231ad62d61d355f088f4f2188021d132a27b4774" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.005ex; width:4.914ex; height:2.843ex;" alt="{\displaystyle T_{f}us}"></span>和溶液<a href="/wiki/%E6%B8%A9%E5%BA%A6" title="温度">温度</a>的<a href="/wiki/%E5%87%BD%E6%95%B0" title="函数">函数</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 \ln x_{2}=-{\frac {\Delta H_{\mathit {fus}}^{\circ }}{R}}\left({\frac {1}{T}}-{\frac {1}{T_{\mathit {fus}}}}\right)}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>ln</mi> <mo>&#x2061;<!-- ⁡ --></mo> <msub> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> <mo>=</mo> <mo>&#x2212;<!-- − --></mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi mathvariant="normal">&#x0394;<!-- Δ --></mi> <msubsup> <mi>H</mi> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mi class="MJX-tex-mathit" mathvariant="italic">f</mi> <mi class="MJX-tex-mathit" mathvariant="italic">u</mi> <mi class="MJX-tex-mathit" mathvariant="italic">s</mi> </mrow> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mo>&#x2218;<!-- ∘ --></mo> </mrow> </msubsup> </mrow> <mi>R</mi> </mfrac> </mrow> <mrow> <mo>(</mo> <mrow> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mi>T</mi> </mfrac> </mrow> <mo>&#x2212;<!-- − --></mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <msub> <mi>T</mi> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mi class="MJX-tex-mathit" mathvariant="italic">f</mi> <mi class="MJX-tex-mathit" mathvariant="italic">u</mi> <mi class="MJX-tex-mathit" mathvariant="italic">s</mi> </mrow> </mrow> </msub> </mfrac> </mrow> </mrow> <mo>)</mo> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \ln x_{2}=-{\frac {\Delta H_{\mathit {fus}}^{\circ }}{R}}\left({\frac {1}{T}}-{\frac {1}{T_{\mathit {fus}}}}\right)}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/6ce6749a1216b7e237719522feff9f8b2dd3723e" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.505ex; width:30.22ex; height:6.676ex;" alt="{\displaystyle \ln x_{2}=-{\frac {\Delta H_{\mathit {fus}}^{\circ }}{R}}\left({\frac {1}{T}}-{\frac {1}{T_{\mathit {fus}}}}\right)}"></span></dd></dl> <p>这里的R是<a href="/wiki/%E6%99%AE%E9%81%A9%E6%B0%A3%E9%AB%94%E5%B8%B8%E6%95%B8" class="mw-redirect" title="普適氣體常數">普适气体常数</a>。 </p><p>比如,298<a href="/wiki/%E5%BC%80%E5%B0%94%E6%96%87" title="开尔文">K</a>(约25<a href="/wiki/%E6%91%84%E6%B0%8F%E5%BA%A6" class="mw-redirect" title="摄氏度">℃</a>)时,<a href="/wiki/%E5%AF%B9%E4%B9%99%E9%85%B0%E6%B0%A8%E5%9F%BA%E9%85%9A" title="对乙酰氨基酚">对乙酰氨基酚</a>在水中的溶解度为: </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 x_{2}=\exp {\left(-{\frac {28100{\mbox{ J mol}}^{-1}}{8.314{\mbox{ J K}}^{-1}{\mbox{ mol}}^{-1}}}\left({\frac {1}{298}}-{\frac {1}{442}}\right)\right)}=0.0248}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> <mo>=</mo> <mi>exp</mi> <mo>&#x2061;<!-- ⁡ --></mo> <mrow class="MJX-TeXAtom-ORD"> <mrow> <mo>(</mo> <mrow> <mo>&#x2212;<!-- − --></mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mn>28100</mn> <msup> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="false" scriptlevel="0"> <mtext>&#xA0;J mol</mtext> </mstyle> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mo>&#x2212;<!-- − --></mo> <mn>1</mn> </mrow> </msup> </mrow> <mrow> <mn>8.314</mn> <msup> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="false" scriptlevel="0"> <mtext>&#xA0;J K</mtext> </mstyle> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mo>&#x2212;<!-- − --></mo> <mn>1</mn> </mrow> </msup> <msup> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="false" scriptlevel="0"> <mtext>&#xA0;mol</mtext> </mstyle> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mo>&#x2212;<!-- − --></mo> <mn>1</mn> </mrow> </msup> </mrow> </mfrac> </mrow> <mrow> <mo>(</mo> <mrow> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mn>298</mn> </mfrac> </mrow> <mo>&#x2212;<!-- − --></mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mn>442</mn> </mfrac> </mrow> </mrow> <mo>)</mo> </mrow> </mrow> <mo>)</mo> </mrow> </mrow> <mo>=</mo> <mn>0.0248</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle x_{2}=\exp {\left(-{\frac {28100{\mbox{ J mol}}^{-1}}{8.314{\mbox{ J K}}^{-1}{\mbox{ mol}}^{-1}}}\left({\frac {1}{298}}-{\frac {1}{442}}\right)\right)}=0.0248}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/13465cd2e0b699be10457a7b423a4b64efbb8037" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.505ex; width:58.793ex; height:6.343ex;" alt="{\displaystyle x_{2}=\exp {\left(-{\frac {28100{\mbox{ J mol}}^{-1}}{8.314{\mbox{ J K}}^{-1}{\mbox{ mol}}^{-1}}}\left({\frac {1}{298}}-{\frac {1}{442}}\right)\right)}=0.0248}"></span></dd></dl> <p>换算为<a href="/wiki/%E5%85%8B" title="克">克</a>/<a href="/wiki/%E5%85%AC%E5%8D%87" title="公升">升</a>: </p><p><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 {0.0248*{\frac {1000\mathrm {g} }{18.053\mathrm {mol^{-1}} }}}{1-0.0248}}*151.17{\mbox{ mol}}^{-1}=213.4}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mn>0.0248</mn> <mo>&#x2217;<!-- ∗ --></mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mn>1000</mn> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">g</mi> </mrow> </mrow> <mrow> <mn>18.053</mn> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">m</mi> <mi mathvariant="normal">o</mi> <msup> <mi mathvariant="normal">l</mi> <mrow class="MJX-TeXAtom-ORD"> <mo>&#x2212;<!-- − --></mo> <mn>1</mn> </mrow> </msup> </mrow> </mrow> </mfrac> </mrow> </mrow> <mrow> <mn>1</mn> <mo>&#x2212;<!-- − --></mo> <mn>0.0248</mn> </mrow> </mfrac> </mrow> <mo>&#x2217;<!-- ∗ --></mo> <mn>151.17</mn> <msup> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="false" scriptlevel="0"> <mtext>&#xA0;mol</mtext> </mstyle> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mo>&#x2212;<!-- − --></mo> <mn>1</mn> </mrow> </msup> <mo>=</mo> <mn>213.4</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\frac {0.0248*{\frac {1000\mathrm {g} }{18.053\mathrm {mol^{-1}} }}}{1-0.0248}}*151.17{\mbox{ mol}}^{-1}=213.4}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/9e055bb85a5f332d62bc5d6e8a5263c373ff2fdf" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.005ex; width:43.119ex; height:7.343ex;" alt="{\displaystyle {\frac {0.0248*{\frac {1000\mathrm {g} }{18.053\mathrm {mol^{-1}} }}}{1-0.0248}}*151.17{\mbox{ mol}}^{-1}=213.4}"></span> </p><p>这样计算得出的理论值与实际值(240 g/L)的<a href="/wiki/%E8%AF%AF%E5%B7%AE" title="误差">误差</a>为11%。由于溶液并不是理想溶液,若将额外的<a href="/wiki/%E7%86%B1%E5%AE%B9%E9%87%8F" title="熱容量">热容量</a>的影响考虑在内,将得到更精确的结果。<sup id="cite_ref-12" class="reference"><a href="#cite_note-12"><span class="cite-bracket">&#91;</span>12<span class="cite-bracket">&#93;</span></a></sup> </p> <div class="mw-heading mw-heading3"><h3 id="证明"><span id=".E8.AF.81.E6.98.8E"></span>证明</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%E7%86%94%E5%8C%96%E7%83%AD&amp;action=edit&amp;section=3" title="编辑章节:证明"><span>编辑</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>固体在<a href="/wiki/%E6%BA%B6%E5%89%82" title="溶剂">溶剂</a>中溶解,达到<a href="/wiki/%E6%BA%B6%E8%A7%A3%E5%B9%B3%E8%A1%A1" title="溶解平衡">溶解平衡</a>后,溶液中的溶质与未溶固体的<a href="/wiki/%E5%8C%96%E5%AD%A6%E5%8A%BF" title="化学势">化学势</a>是相同的: </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \mu _{solid}^{\circ }=\mu _{solution}^{\circ }\,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msubsup> <mi>&#x03BC;<!-- μ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mi>s</mi> <mi>o</mi> <mi>l</mi> <mi>i</mi> <mi>d</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mo>&#x2218;<!-- ∘ --></mo> </mrow> </msubsup> <mo>=</mo> <msubsup> <mi>&#x03BC;<!-- μ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mi>s</mi> <mi>o</mi> <mi>l</mi> <mi>u</mi> <mi>t</mi> <mi>i</mi> <mi>o</mi> <mi>n</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mo>&#x2218;<!-- ∘ --></mo> </mrow> </msubsup> <mspace width="thinmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \mu _{solid}^{\circ }=\mu _{solution}^{\circ }\,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/bac290f88eee7440de8608a36321e3dad9dd199f" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.005ex; width:16.183ex; height:2.676ex;" alt="{\displaystyle \mu _{solid}^{\circ }=\mu _{solution}^{\circ }\,}"></span></dd></dl> <p>或 </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \mu _{solid}^{\circ }=\mu _{liquid}^{\circ }+RT\ln X_{2}\,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msubsup> <mi>&#x03BC;<!-- μ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mi>s</mi> <mi>o</mi> <mi>l</mi> <mi>i</mi> <mi>d</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mo>&#x2218;<!-- ∘ --></mo> </mrow> </msubsup> <mo>=</mo> <msubsup> <mi>&#x03BC;<!-- μ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mi>l</mi> <mi>i</mi> <mi>q</mi> <mi>u</mi> <mi>i</mi> <mi>d</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mo>&#x2218;<!-- ∘ --></mo> </mrow> </msubsup> <mo>+</mo> <mi>R</mi> <mi>T</mi> <mi>ln</mi> <mo>&#x2061;<!-- ⁡ --></mo> <msub> <mi>X</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> <mspace width="thinmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \mu _{solid}^{\circ }=\mu _{liquid}^{\circ }+RT\ln X_{2}\,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/5ae55e6ae14ba8d871847d7a0b4ec9edc4466af7" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.338ex; width:26.353ex; height:3.176ex;" alt="{\displaystyle \mu _{solid}^{\circ }=\mu _{liquid}^{\circ }+RT\ln X_{2}\,}"></span></dd></dl> <p>其中<span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \mu _{liquid}^{\circ }}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msubsup> <mi>&#x03BC;<!-- μ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mi>l</mi> <mi>i</mi> <mi>q</mi> <mi>u</mi> <mi>i</mi> <mi>d</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mo>&#x2218;<!-- ∘ --></mo> </mrow> </msubsup> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \mu _{liquid}^{\circ }}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/d6acc0c6e6b0d7bf26bd0b6e9ff16d5a44e58dfe" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.338ex; width:5.815ex; height:3.009ex;" alt="{\displaystyle \mu _{liquid}^{\circ }}"></span>是该条件下,该固体熔液的化学势。这一步利用了理想溶液的假设和<a href="/wiki/%E6%8B%89%E4%B9%8C%E5%B0%94%E5%AE%9A%E5%BE%8B" title="拉乌尔定律">拉乌尔定律</a>。化简后得到: </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 RT\ln X_{2}=-(\mu _{liquid}^{\circ }-\mu _{solid}^{\circ })\,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>R</mi> <mi>T</mi> <mi>ln</mi> <mo>&#x2061;<!-- ⁡ --></mo> <msub> <mi>X</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> <mo>=</mo> <mo>&#x2212;<!-- − --></mo> <mo stretchy="false">(</mo> <msubsup> <mi>&#x03BC;<!-- μ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mi>l</mi> <mi>i</mi> <mi>q</mi> <mi>u</mi> <mi>i</mi> <mi>d</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mo>&#x2218;<!-- ∘ --></mo> </mrow> </msubsup> <mo>&#x2212;<!-- − --></mo> <msubsup> <mi>&#x03BC;<!-- μ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mi>s</mi> <mi>o</mi> <mi>l</mi> <mi>i</mi> <mi>d</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mo>&#x2218;<!-- ∘ --></mo> </mrow> </msubsup> <mo stretchy="false">)</mo> <mspace width="thinmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle RT\ln X_{2}=-(\mu _{liquid}^{\circ }-\mu _{solid}^{\circ })\,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/84ca7287be576287fde3d9c7a44289d69f4e2c5a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.338ex; width:29.971ex; height:3.343ex;" alt="{\displaystyle RT\ln X_{2}=-(\mu _{liquid}^{\circ }-\mu _{solid}^{\circ })\,}"></span></dd></dl> <p>又因为: </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 G_{\mathit {fus}}^{\circ }=-(\mu _{liquid}^{\circ }-\mu _{solid}^{\circ })\,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi mathvariant="normal">&#x0394;<!-- Δ --></mi> <msubsup> <mi>G</mi> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mi class="MJX-tex-mathit" mathvariant="italic">f</mi> <mi class="MJX-tex-mathit" mathvariant="italic">u</mi> <mi class="MJX-tex-mathit" mathvariant="italic">s</mi> </mrow> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mo>&#x2218;<!-- ∘ --></mo> </mrow> </msubsup> <mo>=</mo> <mo>&#x2212;<!-- − --></mo> <mo stretchy="false">(</mo> <msubsup> <mi>&#x03BC;<!-- μ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mi>l</mi> <mi>i</mi> <mi>q</mi> <mi>u</mi> <mi>i</mi> <mi>d</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mo>&#x2218;<!-- ∘ --></mo> </mrow> </msubsup> <mo>&#x2212;<!-- − --></mo> <msubsup> <mi>&#x03BC;<!-- μ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mi>s</mi> <mi>o</mi> <mi>l</mi> <mi>i</mi> <mi>d</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mo>&#x2218;<!-- ∘ --></mo> </mrow> </msubsup> <mo stretchy="false">)</mo> <mspace width="thinmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \Delta G_{\mathit {fus}}^{\circ }=-(\mu _{liquid}^{\circ }-\mu _{solid}^{\circ })\,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b0f3b62229c797697975fb3bff8842405c6606fe" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.338ex; width:26.934ex; height:3.343ex;" alt="{\displaystyle \Delta G_{\mathit {fus}}^{\circ }=-(\mu _{liquid}^{\circ }-\mu _{solid}^{\circ })\,}"></span></dd></dl> <p>其中<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 G_{\mathit {fus}}^{\circ }}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi mathvariant="normal">&#x0394;<!-- Δ --></mi> <msubsup> <mi>G</mi> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mi class="MJX-tex-mathit" mathvariant="italic">f</mi> <mi class="MJX-tex-mathit" mathvariant="italic">u</mi> <mi class="MJX-tex-mathit" mathvariant="italic">s</mi> </mrow> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mo>&#x2218;<!-- ∘ --></mo> </mrow> </msubsup> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \Delta G_{\mathit {fus}}^{\circ }}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/789b8d77876c76c887d42b5918afe12b14648df2" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.338ex; width:6.055ex; height:3.176ex;" alt="{\displaystyle \Delta G_{\mathit {fus}}^{\circ }}"></span>是摩尔熔化<a href="/wiki/%E8%87%AA%E7%94%B1%E7%84%93" class="mw-redirect" title="自由焓">自由焓</a>变。所以溶质固体和溶质熔液之间的化学势差异遵循以下方程: </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 RT\ln X_{2}=-(\Delta G_{\mathit {fus}}^{\circ })\,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>R</mi> <mi>T</mi> <mi>ln</mi> <mo>&#x2061;<!-- ⁡ --></mo> <msub> <mi>X</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> <mo>=</mo> <mo>&#x2212;<!-- − --></mo> <mo stretchy="false">(</mo> <mi mathvariant="normal">&#x0394;<!-- Δ --></mi> <msubsup> <mi>G</mi> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mi class="MJX-tex-mathit" mathvariant="italic">f</mi> <mi class="MJX-tex-mathit" mathvariant="italic">u</mi> <mi class="MJX-tex-mathit" mathvariant="italic">s</mi> </mrow> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mo>&#x2218;<!-- ∘ --></mo> </mrow> </msubsup> <mo stretchy="false">)</mo> <mspace width="thinmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle RT\ln X_{2}=-(\Delta G_{\mathit {fus}}^{\circ })\,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/1e488956f8bef12929f7c471c3388c3a14eb225a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.338ex; width:22.25ex; height:3.343ex;" alt="{\displaystyle RT\ln X_{2}=-(\Delta G_{\mathit {fus}}^{\circ })\,}"></span></dd></dl> <p>应用<a href="/wiki/%E5%90%89%E5%B8%83%E6%96%AF%EF%BC%8D%E4%BA%A5%E5%A7%86%E9%9C%8D%E8%8C%B2%E6%96%B9%E7%A8%8B" class="mw-redirect" title="吉布斯-亥姆霍茲方程">吉布斯-亥姆霍茲方程</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 \left({\frac {\partial ({\frac {\Delta G_{\mathit {fus}}^{\circ }}{T}})}{\partial T}}\right)_{p\,}=-{\frac {\Delta H_{\mathit {fus}}^{\circ }}{T^{2}}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mrow> <mo>(</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi mathvariant="normal">&#x2202;<!-- ∂ --></mi> <mo stretchy="false">(</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi mathvariant="normal">&#x0394;<!-- Δ --></mi> <msubsup> <mi>G</mi> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mi class="MJX-tex-mathit" mathvariant="italic">f</mi> <mi class="MJX-tex-mathit" mathvariant="italic">u</mi> <mi class="MJX-tex-mathit" mathvariant="italic">s</mi> </mrow> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mo>&#x2218;<!-- ∘ --></mo> </mrow> </msubsup> </mrow> <mi>T</mi> </mfrac> </mrow> <mo stretchy="false">)</mo> </mrow> <mrow> <mi mathvariant="normal">&#x2202;<!-- ∂ --></mi> <mi>T</mi> </mrow> </mfrac> </mrow> <mo>)</mo> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi>p</mi> <mspace width="thinmathspace" /> </mrow> </msub> <mo>=</mo> <mo>&#x2212;<!-- − --></mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi mathvariant="normal">&#x0394;<!-- Δ --></mi> <msubsup> <mi>H</mi> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mi class="MJX-tex-mathit" mathvariant="italic">f</mi> <mi class="MJX-tex-mathit" mathvariant="italic">u</mi> <mi class="MJX-tex-mathit" mathvariant="italic">s</mi> </mrow> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mo>&#x2218;<!-- ∘ --></mo> </mrow> </msubsup> </mrow> <msup> <mi>T</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \left({\frac {\partial ({\frac {\Delta G_{\mathit {fus}}^{\circ }}{T}})}{\partial T}}\right)_{p\,}=-{\frac {\Delta H_{\mathit {fus}}^{\circ }}{T^{2}}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/fbfd04f398db99c48d203ae9a7c22656a35a4b01" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -4.671ex; width:26.713ex; height:10.176ex;" alt="{\displaystyle \left({\frac {\partial ({\frac {\Delta G_{\mathit {fus}}^{\circ }}{T}})}{\partial T}}\right)_{p\,}=-{\frac {\Delta H_{\mathit {fus}}^{\circ }}{T^{2}}}}"></span></dd></dl> <p>经过计算得到: </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 \left({\frac {\partial (\ln X_{2})}{\partial T}}\right)={\frac {\Delta H_{\mathit {fus}}^{\circ }}{RT^{2}}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow> <mo>(</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi mathvariant="normal">&#x2202;<!-- ∂ --></mi> <mo stretchy="false">(</mo> <mi>ln</mi> <mo>&#x2061;<!-- ⁡ --></mo> <msub> <mi>X</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> <mo stretchy="false">)</mo> </mrow> <mrow> <mi mathvariant="normal">&#x2202;<!-- ∂ --></mi> <mi>T</mi> </mrow> </mfrac> </mrow> <mo>)</mo> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi mathvariant="normal">&#x0394;<!-- Δ --></mi> <msubsup> <mi>H</mi> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mi class="MJX-tex-mathit" mathvariant="italic">f</mi> <mi class="MJX-tex-mathit" mathvariant="italic">u</mi> <mi class="MJX-tex-mathit" mathvariant="italic">s</mi> </mrow> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mo>&#x2218;<!-- ∘ --></mo> </mrow> </msubsup> </mrow> <mrow> <mi>R</mi> <msup> <mi>T</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mrow> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \left({\frac {\partial (\ln X_{2})}{\partial T}}\right)={\frac {\Delta H_{\mathit {fus}}^{\circ }}{RT^{2}}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/23c4f3e43523b04767608c81d6a486d0e5f261cd" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.505ex; width:22.784ex; height:6.676ex;" alt="{\displaystyle \left({\frac {\partial (\ln X_{2})}{\partial T}}\right)={\frac {\Delta H_{\mathit {fus}}^{\circ }}{RT^{2}}}}"></span></dd></dl> <p>或: </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 \mathrm {d} (\ln X_{2})={\frac {\Delta H_{\mathit {fus}}^{\circ }}{RT^{2}}}*\mathrm {d} T}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">d</mi> </mrow> <mo stretchy="false">(</mo> <mi>ln</mi> <mo>&#x2061;<!-- ⁡ --></mo> <msub> <mi>X</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> <mo stretchy="false">)</mo> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi mathvariant="normal">&#x0394;<!-- Δ --></mi> <msubsup> <mi>H</mi> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mi class="MJX-tex-mathit" mathvariant="italic">f</mi> <mi class="MJX-tex-mathit" mathvariant="italic">u</mi> <mi class="MJX-tex-mathit" mathvariant="italic">s</mi> </mrow> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mo>&#x2218;<!-- ∘ --></mo> </mrow> </msubsup> </mrow> <mrow> <mi>R</mi> <msup> <mi>T</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mrow> </mfrac> </mrow> <mo>&#x2217;<!-- ∗ --></mo> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">d</mi> </mrow> <mi>T</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \mathrm {d} (\ln X_{2})={\frac {\Delta H_{\mathit {fus}}^{\circ }}{RT^{2}}}*\mathrm {d} T}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/8ea62ef2a5d38f91fa0236764b2292021fdfc49a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.171ex; width:23.625ex; height:6.343ex;" alt="{\displaystyle \mathrm {d} (\ln X_{2})={\frac {\Delta H_{\mathit {fus}}^{\circ }}{RT^{2}}}*\mathrm {d} T}"></span></dd></dl> <p>对上面的方程等号两边进行<a href="/wiki/%E7%A7%AF%E5%88%86" title="积分">积分</a>(忽略了摩尔熔化焓随温度的改变) </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 \int _{X_{2}=1}^{X_{2}=x_{2}}\mathrm {d} (\ln X_{2})=\ln x_{2}=\int _{T_{\mathit {fus}}}^{T}{\frac {\Delta H_{\mathit {fus}}^{\circ }}{RT^{2}}}*\mathrm {d} T}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msubsup> <mo>&#x222B;<!-- ∫ --></mo> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi>X</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> <mo>=</mo> <mn>1</mn> </mrow> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi>X</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> <mo>=</mo> <msub> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> </mrow> </msubsup> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">d</mi> </mrow> <mo stretchy="false">(</mo> <mi>ln</mi> <mo>&#x2061;<!-- ⁡ --></mo> <msub> <mi>X</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> <mo stretchy="false">)</mo> <mo>=</mo> <mi>ln</mi> <mo>&#x2061;<!-- ⁡ --></mo> <msub> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> <mo>=</mo> <msubsup> <mo>&#x222B;<!-- ∫ --></mo> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi>T</mi> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mi class="MJX-tex-mathit" mathvariant="italic">f</mi> <mi class="MJX-tex-mathit" mathvariant="italic">u</mi> <mi class="MJX-tex-mathit" mathvariant="italic">s</mi> </mrow> </mrow> </msub> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi>T</mi> </mrow> </msubsup> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi mathvariant="normal">&#x0394;<!-- Δ --></mi> <msubsup> <mi>H</mi> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mi class="MJX-tex-mathit" mathvariant="italic">f</mi> <mi class="MJX-tex-mathit" mathvariant="italic">u</mi> <mi class="MJX-tex-mathit" mathvariant="italic">s</mi> </mrow> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mo>&#x2218;<!-- ∘ --></mo> </mrow> </msubsup> </mrow> <mrow> <mi>R</mi> <msup> <mi>T</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mrow> </mfrac> </mrow> <mo>&#x2217;<!-- ∗ --></mo> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">d</mi> </mrow> <mi>T</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \int _{X_{2}=1}^{X_{2}=x_{2}}\mathrm {d} (\ln X_{2})=\ln x_{2}=\int _{T_{\mathit {fus}}}^{T}{\frac {\Delta H_{\mathit {fus}}^{\circ }}{RT^{2}}}*\mathrm {d} T}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/79974eb9ba4dcbcffd9e7fde7284b05a11d276e3" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -3.005ex; width:44.468ex; height:7.176ex;" alt="{\displaystyle \int _{X_{2}=1}^{X_{2}=x_{2}}\mathrm {d} (\ln X_{2})=\ln x_{2}=\int _{T_{\mathit {fus}}}^{T}{\frac {\Delta H_{\mathit {fus}}^{\circ }}{RT^{2}}}*\mathrm {d} T}"></span></dd></dl> <p>可以得到最终结果: </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 \ln x_{2}=-{\frac {\Delta H_{\mathit {fus}}^{\circ }}{R}}\left({\frac {1}{T}}-{\frac {1}{T_{\mathit {fus}}}}\right)}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>ln</mi> <mo>&#x2061;<!-- ⁡ --></mo> <msub> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> <mo>=</mo> <mo>&#x2212;<!-- − --></mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi mathvariant="normal">&#x0394;<!-- Δ --></mi> <msubsup> <mi>H</mi> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mi class="MJX-tex-mathit" mathvariant="italic">f</mi> <mi class="MJX-tex-mathit" mathvariant="italic">u</mi> <mi class="MJX-tex-mathit" mathvariant="italic">s</mi> </mrow> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mo>&#x2218;<!-- ∘ --></mo> </mrow> </msubsup> </mrow> <mi>R</mi> </mfrac> </mrow> <mrow> <mo>(</mo> <mrow> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mi>T</mi> </mfrac> </mrow> <mo>&#x2212;<!-- − --></mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <msub> <mi>T</mi> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mi class="MJX-tex-mathit" mathvariant="italic">f</mi> <mi class="MJX-tex-mathit" mathvariant="italic">u</mi> <mi class="MJX-tex-mathit" mathvariant="italic">s</mi> </mrow> </mrow> </msub> </mfrac> </mrow> </mrow> <mo>)</mo> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \ln x_{2}=-{\frac {\Delta H_{\mathit {fus}}^{\circ }}{R}}\left({\frac {1}{T}}-{\frac {1}{T_{\mathit {fus}}}}\right)}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/6ce6749a1216b7e237719522feff9f8b2dd3723e" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.505ex; width:30.22ex; height:6.676ex;" alt="{\displaystyle \ln x_{2}=-{\frac {\Delta H_{\mathit {fus}}^{\circ }}{R}}\left({\frac {1}{T}}-{\frac {1}{T_{\mathit {fus}}}}\right)}"></span></dd></dl> <div class="mw-heading mw-heading2"><h2 id="参考资料"><span 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(原始内容<a rel="nofollow" class="external text" href="https://web.archive.org/web/20200411015800/http://www.basechem.org/chemical/1386">存档</a>于2020-04-11).</cite><span title="ctx_ver=Z39.88-2004&amp;rfr_id=info%3Asid%2Fzh.wikipedia.org%3A%E7%86%94%E5%8C%96%E7%83%AD&amp;rft.btitle=%E5%8C%96%E5%AD%A6%E5%93%81%E6%95%B0%E6%8D%AE%E5%BA%93.%E4%B8%99%E9%85%AE&amp;rft.genre=unknown&amp;rft_id=http%3A%2F%2Fwww.basechem.org%2Fchemical%2F1386&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook" class="Z3988"><span style="display:none;">&#160;</span></span></span> </li> <li id="cite_note-11"><span class="mw-cite-backlink"><b><a href="#cite_ref-11">^</a></b></span> <span class="reference-text"><cite class="citation web"><a rel="nofollow" class="external text" href="http://www.basechem.org/chemical/79">化学品数据库.苯</a>. <span class="reference-accessdate"> &#91;<span class="nowrap">2015-01-28</span>&#93;</span>. (原始内容<a rel="nofollow" class="external text" href="https://web.archive.org/web/20210204162045/http://www.basechem.org/chemical/79">存档</a>于2021-02-04).</cite><span title="ctx_ver=Z39.88-2004&amp;rfr_id=info%3Asid%2Fzh.wikipedia.org%3A%E7%86%94%E5%8C%96%E7%83%AD&amp;rft.btitle=%E5%8C%96%E5%AD%A6%E5%93%81%E6%95%B0%E6%8D%AE%E5%BA%93.%E8%8B%AF&amp;rft.genre=unknown&amp;rft_id=http%3A%2F%2Fwww.basechem.org%2Fchemical%2F79&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook" class="Z3988"><span style="display:none;">&#160;</span></span></span> </li> <li id="cite_note-12"><span class="mw-cite-backlink"><b><a href="#cite_ref-12">^</a></b></span> <span class="reference-text"><i>Measurement and Prediction of Solubility of Paracetamol in Water-Isopropanol Solution. Part 2. Prediction</i> H. Hojjati and S. Rohani Org. Process Res. Dev.; <b>2006</b>; 10(6) pp 1110–1118; (Article) <a href="/wiki/DOI" title="DOI">doi</a>:<a rel="nofollow" class="external text" href="https://doi.org/10.1021%2Fop060074g">10.1021/op060074g</a></span> </li> </ol></div> <ul><li><cite id="CITEREFAtkinsJones2008" class="citation">Atkins, Peter; Jones, Loretta, Chemical Principles: The Quest for Insight 4th, W. H. Freeman and Company: 236, 2008, <a href="/wiki/Special:%E7%BD%91%E7%BB%9C%E4%B9%A6%E6%BA%90/0-7167-7355-4" title="Special:网络书源/0-7167-7355-4"><span title="国际标准书号">ISBN</span>&#160;0-7167-7355-4</a></cite><span title="ctx_ver=Z39.88-2004&amp;rfr_id=info%3Asid%2Fzh.wikipedia.org%3A%E7%86%94%E5%8C%96%E7%83%AD&amp;rft.au=Jones%2C+Loretta&amp;rft.aufirst=Peter&amp;rft.aulast=Atkins&amp;rft.btitle=Chemical+Principles%3A+The+Quest+for+Insight&amp;rft.date=2008&amp;rft.edition=4th&amp;rft.genre=book&amp;rft.isbn=0-7167-7355-4&amp;rft.pages=236&amp;rft.pub=W.+H.+Freeman+and+Company&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook" class="Z3988"><span style="display:none;">&#160;</span></span></li> <li><cite id="CITEREFOttBoerio-Goates2000" class="citation">Ott, J. Bevan; Boerio-Goates, Juliana, Chemical Thermodynamics: Advanced Applications, Academic Press, 2000, <a href="/wiki/Special:%E7%BD%91%E7%BB%9C%E4%B9%A6%E6%BA%90/0-12-530985-6" title="Special:网络书源/0-12-530985-6"><span title="国际标准书号">ISBN</span>&#160;0-12-530985-6</a></cite><span title="ctx_ver=Z39.88-2004&amp;rfr_id=info%3Asid%2Fzh.wikipedia.org%3A%E7%86%94%E5%8C%96%E7%83%AD&amp;rft.au=Boerio-Goates%2C+Juliana&amp;rft.aufirst=J.+Bevan&amp;rft.aulast=Ott&amp;rft.btitle=Chemical+Thermodynamics%3A+Advanced+Applications&amp;rft.date=2000&amp;rft.genre=book&amp;rft.isbn=0-12-530985-6&amp;rft.pub=Academic+Press&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook" class="Z3988"><span style="display:none;">&#160;</span></span></li></ul> <div class="mw-heading mw-heading2"><h2 id="参见"><span id=".E5.8F.82.E8.A7.81"></span>参见</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%E7%86%94%E5%8C%96%E7%83%AD&amp;action=edit&amp;section=5" title="编辑章节:参见"><span>编辑</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a href="/wiki/%E7%86%94%E5%8C%96" title="熔化">熔化</a></li> <li><a href="/wiki/%E5%8D%87%E5%8D%8E%E7%83%AD" title="升华热">升华热</a></li> <li><a href="/wiki/%E6%B1%BD%E5%8C%96%E7%83%AD" title="汽化热">汽化热</a></li></ul> <div class="navbox-styles"><style data-mw-deduplicate="TemplateStyles:r84265675">.mw-parser-output .hlist dl,.mw-parser-output .hlist ol,.mw-parser-output .hlist ul{margin:0;padding:0}.mw-parser-output .hlist dd,.mw-parser-output .hlist dt,.mw-parser-output .hlist li{margin:0;display:inline}.mw-parser-output .hlist.inline,.mw-parser-output .hlist.inline dl,.mw-parser-output .hlist.inline ol,.mw-parser-output .hlist.inline ul,.mw-parser-output .hlist dl dl,.mw-parser-output .hlist dl ol,.mw-parser-output .hlist dl ul,.mw-parser-output .hlist ol dl,.mw-parser-output .hlist ol ol,.mw-parser-output .hlist ol ul,.mw-parser-output .hlist ul dl,.mw-parser-output .hlist ul ol,.mw-parser-output .hlist ul ul{display:inline}.mw-parser-output .hlist .mw-empty-li{display:none}.mw-parser-output .hlist dt::after{content:" :"}.mw-parser-output .hlist dd::after,.mw-parser-output .hlist li::after{content:" · ";font-weight:bold}.mw-parser-output .hlist-pipe dd::after,.mw-parser-output .hlist-pipe li::after{content:" | ";font-weight:normal}.mw-parser-output .hlist-hyphen dd::after,.mw-parser-output .hlist-hyphen li::after{content:" - ";font-weight:normal}.mw-parser-output .hlist-comma dd::after,.mw-parser-output .hlist-comma li::after{content:"、";font-weight:normal}.mw-parser-output .hlist dd:last-child::after,.mw-parser-output .hlist dt:last-child::after,.mw-parser-output .hlist li:last-child::after{content:none}.mw-parser-output .hlist ol{counter-reset:listitem}.mw-parser-output .hlist ol>li{counter-increment:listitem}.mw-parser-output .hlist ol>li::before{content:" "counter(listitem)"\a0 "}.mw-parser-output .hlist dd ol>li:first-child::before,.mw-parser-output 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.navbox-even{background-color:#f7f7f7}.mw-parser-output .navbox-odd{background-color:transparent}.mw-parser-output .navbox .hlist td dl,.mw-parser-output .navbox .hlist td ol,.mw-parser-output .navbox .hlist td ul,.mw-parser-output .navbox td.hlist dl,.mw-parser-output .navbox td.hlist ol,.mw-parser-output .navbox td.hlist ul{padding:0.125em 0}.mw-parser-output .navbox .navbar{display:block;font-size:100%}.mw-parser-output .navbox-title .navbar{float:left;text-align:left;margin-right:0.5em;width:auto;padding-left:0.2em;position:absolute;left:1em}.mw-parser-output .navbox .mw-collapsible-toggle{margin-left:0.5em;position:absolute;right:1em}body.skin--responsive .mw-parser-output .navbox-image img{max-width:none!important}@media print{body.ns-0 .mw-parser-output .navbox{display:none!important}}</style></div><div role="navigation" class="navbox" aria-labelledby="物质状态" style="padding:3px"><table class="nowraplinks hlist mw-collapsible mw-collapsed navbox-inner" style="border-spacing:0;background:transparent;color:inherit"><tbody><tr><th scope="col" class="collapsible-title navbox-title" colspan="3"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r84265675"><style data-mw-deduplicate="TemplateStyles:r84244141">.mw-parser-output .navbar{display:inline;font-weight:normal}.mw-parser-output .navbar-collapse{float:left;text-align:left}.mw-parser-output .navbar-boxtext{word-spacing:0}.mw-parser-output .navbar ul{display:inline-block;white-space:nowrap;line-height:inherit}.mw-parser-output .navbar-brackets::before{margin-right:-0.125em;content:"[ "}.mw-parser-output .navbar-brackets::after{margin-left:-0.125em;content:" ]"}.mw-parser-output .navbar li{word-spacing:-0.125em}.mw-parser-output .navbar a>span,.mw-parser-output .navbar a>abbr{text-decoration:inherit}.mw-parser-output .navbar-mini abbr{font-variant:small-caps;border-bottom:none;text-decoration:none;cursor:inherit}.mw-parser-output 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style="font-size:110%;margin:0 5em"><a href="/wiki/%E7%89%A9%E8%B4%A8%E7%8A%B6%E6%80%81" title="物质状态">物质状态</a></div></th></tr><tr><th scope="row" class="navbox-group" style="width:1%">状态</th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0px"><div style="padding:0em 0.25em"> <ul><li><a href="/wiki/%E5%9B%BA%E4%BD%93" title="固体">固体</a></li> <li><a href="/wiki/%E6%B6%B2%E4%BD%93" title="液体">液体</a></li> <li><a href="/wiki/%E6%B0%94%E4%BD%93" title="气体">气体</a> / <a href="/wiki/%E8%92%B8%E6%B0%A3" title="蒸氣">蒸氣</a></li> <li><a href="/wiki/%E7%AD%89%E7%A6%BB%E5%AD%90%E4%BD%93" title="等离子体">等离子体</a></li></ul> </div></td><td class="noviewer navbox-image" rowspan="8" style="width:1px;padding:0px 0px 0px 2px"><div><span typeof="mw:File"><a href="/wiki/File:Phase_change_-_zh.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/e/ec/Phase_change_-_zh.svg/200px-Phase_change_-_zh.svg.png" decoding="async" width="200" height="204" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/e/ec/Phase_change_-_zh.svg/300px-Phase_change_-_zh.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/e/ec/Phase_change_-_zh.svg/400px-Phase_change_-_zh.svg.png 2x" data-file-width="420" data-file-height="429" /></a></span></div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">低能量</th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0px"><div style="padding:0em 0.25em"> <ul><li><a href="/wiki/%E7%8E%BB%E8%89%B2%E2%80%93%E7%88%B1%E5%9B%A0%E6%96%AF%E5%9D%A6%E5%87%9D%E8%81%9A" title="玻色–爱因斯坦凝聚">玻色–爱因斯坦凝聚</a></li> <li><a href="/wiki/%E8%B4%B9%E7%B1%B3%E5%87%9D%E8%81%9A" title="费米凝聚">费米凝聚</a></li> <li><a href="/wiki/%E7%AE%80%E5%B9%B6%E6%80%81%E7%89%A9%E8%B4%A8" title="简并态物质">简并态物质</a></li> <li><a href="/wiki/%E9%87%8F%E5%AD%90%E9%9C%8D%E5%B0%94%E6%95%88%E5%BA%94" title="量子霍尔效应">量子霍尔效应</a></li> <li><span class="ilh-all" data-orig-title="里德伯物質" data-lang-code="en" data-lang-name="英语" data-foreign-title="Rydberg matter"><span class="ilh-page"><a href="/w/index.php?title=%E9%87%8C%E5%BE%B7%E4%BC%AF%E7%89%A9%E8%B3%AA&amp;action=edit&amp;redlink=1" class="new" title="里德伯物質(页面不存在)">里德伯物質</a></span><span class="noprint ilh-comment">(<span class="ilh-lang">英语</span><span class="ilh-colon">:</span><span class="ilh-link"><a href="https://en.wikipedia.org/wiki/Rydberg_matter" class="extiw" title="en:Rydberg matter"><span lang="en" dir="auto">Rydberg matter</span></a></span>)</span></span></li> <li><span class="ilh-all" data-orig-title="里德伯極化子" data-lang-code="en" data-lang-name="英语" data-foreign-title="Rydberg polaron"><span class="ilh-page"><a href="/w/index.php?title=%E9%87%8C%E5%BE%B7%E4%BC%AF%E6%A5%B5%E5%8C%96%E5%AD%90&amp;action=edit&amp;redlink=1" class="new" title="里德伯極化子(页面不存在)">里德伯極化子</a></span><span class="noprint ilh-comment">(<span class="ilh-lang">英语</span><span class="ilh-colon">:</span><span class="ilh-link"><a href="https://en.wikipedia.org/wiki/Rydberg_polaron" class="extiw" title="en:Rydberg polaron"><span lang="en" dir="auto">Rydberg polaron</span></a></span>)</span></span></li> <li><a href="/wiki/%E5%A5%87%E7%95%B0%E7%89%A9%E8%B3%AA" title="奇異物質">奇异物质</a></li> <li><a href="/wiki/%E8%B6%85%E6%B5%81%E4%BD%93" title="超流体">超流体</a></li> <li><a href="/wiki/%E8%B6%85%E5%9B%BA%E4%BD%93" title="超固体">超固体</a></li> <li><a href="/wiki/%E5%85%89%E5%AD%90%E5%88%86%E5%AD%90" title="光子分子">光子分子</a></li> <li><a href="/wiki/%E7%AE%80%E5%B9%B6%E6%80%81%E7%89%A9%E8%B4%A8" title="简并态物质">简并态物质</a> <ul><li><a href="/wiki/%E8%B6%85%E9%87%91%E5%B1%9E" title="超金属">超金属</a></li></ul></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">高能量</th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0px"><div style="padding:0em 0.25em"> <ul><li><span class="ilh-all" data-orig-title="夸克物质" data-lang-code="en" data-lang-name="英语" data-foreign-title="QCD matter"><span class="ilh-page"><a href="/w/index.php?title=%E5%A4%B8%E5%85%8B%E7%89%A9%E8%B4%A8&amp;action=edit&amp;redlink=1" class="new" title="夸克物质(页面不存在)">夸克物质</a></span><span class="noprint ilh-comment">(<span class="ilh-lang">英语</span><span class="ilh-colon">:</span><span class="ilh-link"><a href="https://en.wikipedia.org/wiki/QCD_matter" class="extiw" title="en:QCD matter"><span lang="en" dir="auto">QCD matter</span></a></span>)</span></span></li> <li><span class="ilh-all" data-orig-title="Lattice夸克" data-lang-code="en" data-lang-name="英语" data-foreign-title="Lattice QCD"><span class="ilh-page"><a href="/w/index.php?title=Lattice%E5%A4%B8%E5%85%8B&amp;action=edit&amp;redlink=1" class="new" title="Lattice夸克(页面不存在)">Lattice夸克</a></span><span class="noprint ilh-comment">(<span class="ilh-lang">英语</span><span class="ilh-colon">:</span><span class="ilh-link"><a href="https://en.wikipedia.org/wiki/Lattice_QCD" class="extiw" title="en:Lattice QCD"><span lang="en" dir="auto">Lattice QCD</span></a></span>)</span></span></li> <li><a href="/wiki/%E5%A4%B8%E5%85%8B-%E8%86%A0%E5%AD%90%E9%9B%BB%E6%BC%BF" title="夸克-膠子電漿">夸克-膠子漿</a></li> <li><a href="/wiki/%E5%A5%87%E7%95%B0%E7%89%A9%E8%B3%AA" title="奇異物質">奇異物質</a></li> <li><a href="/wiki/%E8%B6%85%E8%87%A8%E7%95%8C%E6%B5%81%E9%AB%94" title="超臨界流體">超臨界流體</a></li> <li><span class="ilh-all" data-orig-title="色荷玻璃冷凝物" data-lang-code="en" data-lang-name="英语" data-foreign-title="Color-glass condensate"><span class="ilh-page"><a href="/w/index.php?title=%E8%89%B2%E8%8D%B7%E7%8E%BB%E7%92%83%E5%86%B7%E5%87%9D%E7%89%A9&amp;action=edit&amp;redlink=1" class="new" title="色荷玻璃冷凝物(页面不存在)">色荷玻璃冷凝物</a></span><span class="noprint ilh-comment">(<span class="ilh-lang">英语</span><span class="ilh-colon">:</span><span class="ilh-link"><a href="https://en.wikipedia.org/wiki/Color-glass_condensate" class="extiw" title="en:Color-glass condensate"><span lang="en" dir="auto">Color-glass condensate</span></a></span>)</span></span></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">其他物态</th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0px"><div style="padding:0em 0.25em"> <ul><li><a href="/wiki/%E8%86%A0%E9%AB%94" title="膠體">膠體</a></li> <li><a href="/wiki/%E6%99%B6%E4%BD%93" title="晶体">晶体</a></li> <li><a href="/wiki/%E6%B6%B2%E6%99%B6" title="液晶">液晶</a></li> <li><a href="/wiki/%E6%97%A0%E5%AE%9A%E5%BD%A2%E4%BD%93" title="无定形体">无定形体</a></li> <li><a href="/wiki/%E7%8E%BB%E7%92%83" title="玻璃">玻璃</a></li> <li><a href="/wiki/%E6%99%82%E9%96%93%E6%99%B6%E9%AB%94" title="時間晶體">時間晶體</a></li> <li><a href="/wiki/%E5%87%86%E6%99%B6%E4%BD%93" title="准晶体">準晶体</a></li> <li><span class="ilh-all" data-orig-title="柔粘性結晶" data-lang-code="en" data-lang-name="英语" data-foreign-title="Plastic crystal"><span class="ilh-page"><a href="/w/index.php?title=%E6%9F%94%E7%B2%98%E6%80%A7%E7%B5%90%E6%99%B6&amp;action=edit&amp;redlink=1" class="new" title="柔粘性結晶(页面不存在)">柔粘性結晶</a></span><span class="noprint ilh-comment">(<span class="ilh-lang">英语</span><span class="ilh-colon">:</span><span class="ilh-link"><a href="https://en.wikipedia.org/wiki/Plastic_crystal" class="extiw" title="en:Plastic crystal"><span lang="en" dir="auto">Plastic crystal</span></a></span>)</span></span></li> <li>磁狀態 <ul><li><a href="/wiki/%E5%8F%8D%E9%93%81%E7%A3%81%E6%80%A7" title="反铁磁性">反铁磁性</a></li> <li><a href="/wiki/%E4%BA%9A%E9%93%81%E7%A3%81%E6%80%A7" title="亚铁磁性">亚铁磁性</a></li> <li><a href="/wiki/%E9%93%81%E7%A3%81%E6%80%A7" title="铁磁性">铁磁性</a></li></ul></li> <li><a href="/wiki/%E7%89%A9%E8%B4%A8%E7%8A%B6%E6%80%81#弦狀網液態" title="物质状态">弦狀網液態</a></li> <li><a href="/wiki/%E8%B6%85%E7%8E%BB%E7%92%83" title="超玻璃">超玻璃</a></li> <li><a href="/wiki/%E6%9A%97%E7%89%A9%E8%B4%A8" title="暗物质">暗物质</a></li> <li><a href="/wiki/%E5%8F%8D%E7%89%A9%E8%B4%A8" title="反物质">反物质</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/%E7%9B%B8%E8%AE%8A" title="相變">相變</a></th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0px"><div style="padding:0em 0.25em"> <ul><li><a href="/wiki/%E6%B2%B8%E8%85%BE" title="沸腾">沸腾</a></li> <li><a href="/wiki/%E6%B2%B8%E7%82%B9" title="沸点">沸点</a></li> <li><span class="ilh-all" data-orig-title="临界线_(热力学)" data-lang-code="en" data-lang-name="英语" data-foreign-title="Critical line (thermodynamics)"><span class="ilh-page"><a href="/w/index.php?title=%E4%B8%B4%E7%95%8C%E7%BA%BF_(%E7%83%AD%E5%8A%9B%E5%AD%A6)&amp;action=edit&amp;redlink=1" class="new" title="临界线 (热力学)(页面不存在)">临界线</a></span><span class="noprint ilh-comment">(<span class="ilh-lang">英语</span><span class="ilh-colon">:</span><span class="ilh-link"><a href="https://en.wikipedia.org/wiki/Critical_line_(thermodynamics)" class="extiw" title="en:Critical line (thermodynamics)"><span lang="en" dir="auto">Critical line (thermodynamics)</span></a></span>)</span></span></li> <li><a href="/wiki/%E4%B8%B4%E7%95%8C%E7%82%B9_(%E7%83%AD%E5%8A%9B%E5%AD%A6)" title="临界点 (热力学)">临界点</a></li> <li><a href="/wiki/%E7%BB%93%E6%99%B6" title="结晶">结晶</a></li> <li><a href="/wiki/%E5%87%9D%E5%8D%8E" title="凝华">凝华</a></li> <li><a href="/wiki/%E8%92%B8%E5%8F%91" title="蒸发">蒸发</a></li> <li><a href="/wiki/%E9%97%AA%E8%92%B8" title="闪蒸">闪蒸</a></li> <li><a href="/wiki/%E5%87%9D%E5%9B%BA" title="凝固">凝固</a></li> <li><a href="/wiki/%CE%9B%E7%82%B9" title="Λ点">λ点</a></li> <li><a href="/wiki/%E7%86%94%E5%8C%96" title="熔化">熔化</a></li> <li><a href="/wiki/%E7%86%94%E7%82%B9" title="熔点">熔点</a></li> <li><a href="/wiki/%E5%BE%A9%E5%86%B0%E7%8F%BE%E8%B1%A1" title="復冰現象">復冰現象</a></li> <li><a href="/wiki/%E6%B0%A3%E6%B6%B2%E5%B9%B3%E8%A1%A1" title="氣液平衡">饱和流体</a></li> <li><a href="/wiki/%E5%8D%87%E5%8D%8E" title="升华">升华</a></li> <li><a href="/wiki/%E8%BF%87%E5%86%B7" title="过冷">过冷</a></li> <li><a href="/wiki/%E4%B8%89%E7%9B%B8%E7%82%B9" title="三相点">三相点</a></li> <li><a href="/wiki/%E6%B8%85%E6%99%B0%E9%BB%9E" title="清晰點">清晰點</a></li> <li><a href="/wiki/%E6%B6%B2%E6%99%B6%E5%8C%96%E9%BB%9E" title="液晶化點">液晶化點</a></li> <li><a href="/wiki/%E4%BA%8C%E7%BA%A7%E7%9B%B8%E5%8F%98" title="二级相变">二级相变</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">數量</th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0px"><div style="padding:0em 0.25em"> <ul><li><a class="mw-selflink selflink">熔化热</a></li> <li><a href="/wiki/%E5%8D%87%E5%8D%8E%E7%83%AD" title="升华热">升华热</a></li> <li><a href="/wiki/%E6%B1%BD%E5%8C%96%E7%83%AD" title="汽化热">汽化热</a></li> <li><a href="/wiki/%E6%BD%9B%E7%86%B1" title="潛熱">潛熱</a></li> <li><a href="/wiki/%E6%BD%9B%E5%85%A7%E8%83%BD" title="潛內能">潜内能</a></li> <li><a href="/wiki/%E7%89%B9%E9%AD%AF%E9%A0%93%E8%A6%8F%E5%89%87" title="特魯頓規則">特魯頓規則</a></li> <li><a href="/wiki/%E6%8F%AE%E7%99%BC%E6%80%A7" title="揮發性">揮發性</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">概念</th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0px"><div style="padding:0em 0.25em"> <ul><li><span class="ilh-all" data-orig-title="双结点" data-lang-code="en" data-lang-name="英语" data-foreign-title="Binodal"><span class="ilh-page"><a href="/w/index.php?title=%E5%8F%8C%E7%BB%93%E7%82%B9&amp;action=edit&amp;redlink=1" class="new" title="双结点(页面不存在)">双结点</a></span><span class="noprint ilh-comment">(<span class="ilh-lang">英语</span><span class="ilh-colon">:</span><span class="ilh-link"><a href="https://en.wikipedia.org/wiki/Binodal" class="extiw" title="en:Binodal"><span lang="en" dir="auto">Binodal</span></a></span>)</span></span></li> <li><span class="ilh-all" data-orig-title="压缩流体" data-lang-code="en" data-lang-name="英语" data-foreign-title="Compressed fluid"><span class="ilh-page"><a href="/w/index.php?title=%E5%8E%8B%E7%BC%A9%E6%B5%81%E4%BD%93&amp;action=edit&amp;redlink=1" class="new" title="压缩流体(页面不存在)">压缩流体</a></span><span class="noprint ilh-comment">(<span class="ilh-lang">英语</span><span class="ilh-colon">:</span><span class="ilh-link"><a href="https://en.wikipedia.org/wiki/Compressed_fluid" class="extiw" title="en:Compressed fluid"><span lang="en" dir="auto">Compressed fluid</span></a></span>)</span></span></li> <li><a href="/wiki/%E5%86%B7%E5%8D%BB%E6%9B%B2%E7%B7%9A" title="冷卻曲線">冷卻曲線‎</a></li> <li><a href="/wiki/%E7%8A%B6%E6%80%81%E6%96%B9%E7%A8%8B" title="状态方程">狀態方程</a></li> <li><a href="/wiki/%E8%8E%B1%E9%A1%BF%E5%BC%97%E7%BD%97%E6%96%AF%E7%89%B9%E7%8E%B0%E8%B1%A1" title="莱顿弗罗斯特现象">莱顿弗罗斯特现象</a></li> <li><a href="/wiki/%E5%A7%86%E6%BD%98%E5%B7%B4%E7%8E%B0%E8%B1%A1" title="姆潘巴现象">姆潘巴现象</a></li> <li><span class="ilh-all" data-orig-title="有序与无序_(物理)" data-lang-code="en" data-lang-name="英语" data-foreign-title="Order and disorder (physics)"><span class="ilh-page"><a href="/w/index.php?title=%E6%9C%89%E5%BA%8F%E4%B8%8E%E6%97%A0%E5%BA%8F_(%E7%89%A9%E7%90%86)&amp;action=edit&amp;redlink=1" class="new" title="有序与无序 (物理)(页面不存在)">有序与无序</a></span><span class="noprint ilh-comment">(<span class="ilh-lang">英语</span><span class="ilh-colon">:</span><span class="ilh-link"><a href="https://en.wikipedia.org/wiki/Order_and_disorder_(physics)" class="extiw" title="en:Order and disorder (physics)"><span lang="en" dir="auto">Order and disorder (physics)</span></a></span>)</span></span></li> <li><span class="ilh-all" data-orig-title="调幅分解" data-lang-code="en" data-lang-name="英语" data-foreign-title="Spinodal"><span class="ilh-page"><a href="/w/index.php?title=%E8%B0%83%E5%B9%85%E5%88%86%E8%A7%A3&amp;action=edit&amp;redlink=1" class="new" title="调幅分解(页面不存在)">调幅分解</a></span><span class="noprint ilh-comment">(<span class="ilh-lang">英语</span><span class="ilh-colon">:</span><span class="ilh-link"><a href="https://en.wikipedia.org/wiki/Spinodal" class="extiw" title="en:Spinodal"><span lang="en" dir="auto">Spinodal</span></a></span>)</span></span></li> <li><a href="/wiki/%E8%B6%85%E5%AF%BC%E7%8E%B0%E8%B1%A1" title="超导现象">超导现象</a></li> <li><a href="/wiki/%E9%81%8E%E7%86%B1%E8%92%B8%E6%B1%BD" title="過熱蒸汽">过热蒸汽</a></li> <li><a href="/wiki/%E8%BF%87%E7%83%AD" title="过热">过热</a></li> <li><span class="ilh-all" data-orig-title="热-电介质效应" data-lang-code="en" data-lang-name="英语" data-foreign-title="Thermo-dielectric effect"><span class="ilh-page"><a href="/w/index.php?title=%E7%83%AD-%E7%94%B5%E4%BB%8B%E8%B4%A8%E6%95%88%E5%BA%94&amp;action=edit&amp;redlink=1" class="new" title="热-电介质效应(页面不存在)">热-电介质效应</a></span><span class="noprint ilh-comment">(<span class="ilh-lang">英语</span><span class="ilh-colon">:</span><span class="ilh-link"><a href="https://en.wikipedia.org/wiki/Thermo-dielectric_effect" class="extiw" title="en:Thermo-dielectric effect"><span lang="en" dir="auto">Thermo-dielectric effect</span></a></span>)</span></span></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">列表</th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0px"><div style="padding:0em 0.25em"> <ul><li><b><a href="/wiki/%E7%9B%B8%E6%80%81%E5%88%97%E8%A1%A8" title="相态列表">相态列表</a></b></li></ul> </div></td></tr></tbody></table></div> <!-- NewPP limit report Parsed by mw‐web.eqiad.canary‐7584787d95‐f2q89 Cached time: 20241108082324 Cache expiry: 2592000 Reduced expiry: false Complications: [vary‐revision‐sha1, show‐toc] CPU time usage: 0.352 seconds Real time usage: 0.512 seconds Preprocessor visited node count: 1367/1000000 Post‐expand include size: 60826/2097152 bytes Template argument size: 866/2097152 bytes Highest expansion depth: 15/100 Expensive parser function count: 12/500 Unstrip recursion depth: 0/20 Unstrip post‐expand size: 21080/5000000 bytes Lua time usage: 0.169/10.000 seconds Lua memory usage: 4197267/52428800 bytes Number of Wikibase entities loaded: 0/400 --> 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