A.K. Gangopadhyay, K.F. Kelton
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{"title":"Cu47Zr47Al6的平衡、过冷液体、玻璃和相应晶体的温度相关比热测量,来自国际空间站的地面和微重力实验","authors":"A.K. Gangopadhyay, K.F. Kelton","doi":"10.1016/j.actamat.2025.121201","DOIUrl":null,"url":null,"abstract":"The temperature dependent specific heat, <span><span style=\"\"></span><span data-mathml='<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow is=\"true\"><msub is=\"true\"><mi is=\"true\">C</mi><mi is=\"true\">p</mi></msub><mrow is=\"true\"><mo is=\"true\">(</mo><mi is=\"true\">T</mi><mo is=\"true\">)</mo></mrow></mrow></math>' role=\"presentation\" style=\"font-size: 90%; display: inline-block; position: relative;\" tabindex=\"0\"><svg aria-hidden=\"true\" focusable=\"false\" height=\"2.779ex\" role=\"img\" style=\"vertical-align: -0.812ex;\" viewbox=\"0 -846.5 2821.7 1196.3\" width=\"6.554ex\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g fill=\"currentColor\" stroke=\"currentColor\" stroke-width=\"0\" transform=\"matrix(1 0 0 -1 0 0)\"><g is=\"true\"><g is=\"true\"><g is=\"true\"><use xlink:href=\"#MJMATHI-43\"></use></g><g is=\"true\" transform=\"translate(715,-150)\"><use transform=\"scale(0.707)\" xlink:href=\"#MJMATHI-70\"></use></g></g><g is=\"true\" transform=\"translate(1338,0)\"><g is=\"true\"><use xlink:href=\"#MJMAIN-28\"></use></g><g is=\"true\" transform=\"translate(389,0)\"><use xlink:href=\"#MJMATHI-54\"></use></g><g is=\"true\" transform=\"translate(1094,0)\"><use xlink:href=\"#MJMAIN-29\"></use></g></g></g></g></svg><span role=\"presentation\"><math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow is=\"true\"><msub is=\"true\"><mi is=\"true\">C</mi><mi is=\"true\">p</mi></msub><mrow is=\"true\"><mo is=\"true\">(</mo><mi is=\"true\">T</mi><mo is=\"true\">)</mo></mrow></mrow></math></span></span><script type=\"math/mml\"><math><mrow is=\"true\"><msub is=\"true\"><mi is=\"true\">C</mi><mi is=\"true\">p</mi></msub><mrow is=\"true\"><mo is=\"true\">(</mo><mi is=\"true\">T</mi><mo is=\"true\">)</mo></mrow></mrow></math></script></span>, is one of the most important thermodynamic properties of any material. Although this is routinely measured for glasses near and below the glass transition temperature, <span><span style=\"\"></span><span data-mathml='<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><msub is=\"true\"><mi is=\"true\">T</mi><mi is=\"true\">g</mi></msub></math>' role=\"presentation\" style=\"font-size: 90%; display: inline-block; position: relative;\" tabindex=\"0\"><svg aria-hidden=\"true\" focusable=\"false\" height=\"2.548ex\" role=\"img\" style=\"vertical-align: -0.812ex;\" viewbox=\"0 -747.2 1024.3 1096.9\" width=\"2.379ex\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g fill=\"currentColor\" stroke=\"currentColor\" stroke-width=\"0\" transform=\"matrix(1 0 0 -1 0 0)\"><g is=\"true\"><g is=\"true\"><use xlink:href=\"#MJMATHI-54\"></use></g><g is=\"true\" transform=\"translate(584,-150)\"><use transform=\"scale(0.707)\" xlink:href=\"#MJMATHI-67\"></use></g></g></g></svg><span role=\"presentation\"><math xmlns=\"http://www.w3.org/1998/Math/MathML\"><msub is=\"true\"><mi is=\"true\">T</mi><mi is=\"true\">g</mi></msub></math></span></span><script type=\"math/mml\"><math><msub is=\"true\"><mi is=\"true\">T</mi><mi is=\"true\">g</mi></msub></math></script></span>, very few experimental data exist for supercooled liquids between <span><span style=\"\"></span><span data-mathml='<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><msub is=\"true\"><mi is=\"true\">T</mi><mi is=\"true\">g</mi></msub></math>' role=\"presentation\" style=\"font-size: 90%; display: inline-block; position: relative;\" tabindex=\"0\"><svg aria-hidden=\"true\" focusable=\"false\" height=\"2.548ex\" role=\"img\" style=\"vertical-align: -0.812ex;\" viewbox=\"0 -747.2 1024.3 1096.9\" width=\"2.379ex\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g fill=\"currentColor\" stroke=\"currentColor\" stroke-width=\"0\" transform=\"matrix(1 0 0 -1 0 0)\"><g is=\"true\"><g is=\"true\"><use xlink:href=\"#MJMATHI-54\"></use></g><g is=\"true\" transform=\"translate(584,-150)\"><use transform=\"scale(0.707)\" xlink:href=\"#MJMATHI-67\"></use></g></g></g></svg><span role=\"presentation\"><math xmlns=\"http://www.w3.org/1998/Math/MathML\"><msub is=\"true\"><mi is=\"true\">T</mi><mi is=\"true\">g</mi></msub></math></span></span><script type=\"math/mml\"><math><msub is=\"true\"><mi is=\"true\">T</mi><mi is=\"true\">g</mi></msub></math></script></span> and the liquidus temperature, <span><span style=\"\"></span><span data-mathml='<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><msub is=\"true\"><mi is=\"true\">T</mi><mi is=\"true\">l</mi></msub></math>' role=\"presentation\" style=\"font-size: 90%; display: inline-block; position: relative;\" tabindex=\"0\"><svg aria-hidden=\"true\" focusable=\"false\" height=\"2.317ex\" role=\"img\" style=\"vertical-align: -0.582ex;\" viewbox=\"0 -747.2 895.6 997.6\" width=\"2.08ex\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g fill=\"currentColor\" stroke=\"currentColor\" stroke-width=\"0\" transform=\"matrix(1 0 0 -1 0 0)\"><g is=\"true\"><g is=\"true\"><use xlink:href=\"#MJMATHI-54\"></use></g><g is=\"true\" transform=\"translate(584,-150)\"><use transform=\"scale(0.707)\" xlink:href=\"#MJMATHI-6C\"></use></g></g></g></svg><span role=\"presentation\"><math xmlns=\"http://www.w3.org/1998/Math/MathML\"><msub is=\"true\"><mi is=\"true\">T</mi><mi is=\"true\">l</mi></msub></math></span></span><script type=\"math/mml\"><math><msub is=\"true\"><mi is=\"true\">T</mi><mi is=\"true\">l</mi></msub></math></script></span>. Such measurements are reported here for a good bulk metallic glass, Cu<sub>47</sub>Zr<sub>47</sub>Al<sub>6</sub>, using conventional calorimetry on earth and modulation calorimetry aboard the International Space Station (ISS) on levitated solid and liquid samples. These data enable a complete thermodynamic characterization of this alloy in the crystal, glass, and the supercooled and equilibrium liquid phases. With these data it is possible to estimate the heat of fusion, driving free energy for crystallization, critical thickness, and fragility of the metallic glass.","PeriodicalId":238,"journal":{"name":"Acta Materialia","volume":"6 1","pages":""},"PeriodicalIF":8.3000,"publicationDate":"2025-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Temperature dependent specific heat measurements of equilibrium, supercooled liquid, glass, and the corresponding crystal of Cu47Zr47Al6 from terrestrial and microgravity experiments on the International Space Station\",\"authors\":\"A.K. Gangopadhyay, K.F. Kelton\",\"doi\":\"10.1016/j.actamat.2025.121201\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The temperature dependent specific heat, <span><span style=\\\"\\\"></span><span data-mathml='<math xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\"><mrow is=\\\"true\\\"><msub is=\\\"true\\\"><mi is=\\\"true\\\">C</mi><mi is=\\\"true\\\">p</mi></msub><mrow is=\\\"true\\\"><mo is=\\\"true\\\">(</mo><mi is=\\\"true\\\">T</mi><mo is=\\\"true\\\">)</mo></mrow></mrow></math>' role=\\\"presentation\\\" style=\\\"font-size: 90%; display: inline-block; position: relative;\\\" tabindex=\\\"0\\\"><svg aria-hidden=\\\"true\\\" focusable=\\\"false\\\" height=\\\"2.779ex\\\" role=\\\"img\\\" style=\\\"vertical-align: -0.812ex;\\\" viewbox=\\\"0 -846.5 2821.7 1196.3\\\" width=\\\"6.554ex\\\" xmlns:xlink=\\\"http://www.w3.org/1999/xlink\\\"><g fill=\\\"currentColor\\\" stroke=\\\"currentColor\\\" stroke-width=\\\"0\\\" transform=\\\"matrix(1 0 0 -1 0 0)\\\"><g is=\\\"true\\\"><g is=\\\"true\\\"><g is=\\\"true\\\"><use xlink:href=\\\"#MJMATHI-43\\\"></use></g><g is=\\\"true\\\" transform=\\\"translate(715,-150)\\\"><use transform=\\\"scale(0.707)\\\" xlink:href=\\\"#MJMATHI-70\\\"></use></g></g><g is=\\\"true\\\" transform=\\\"translate(1338,0)\\\"><g is=\\\"true\\\"><use xlink:href=\\\"#MJMAIN-28\\\"></use></g><g is=\\\"true\\\" transform=\\\"translate(389,0)\\\"><use xlink:href=\\\"#MJMATHI-54\\\"></use></g><g is=\\\"true\\\" transform=\\\"translate(1094,0)\\\"><use xlink:href=\\\"#MJMAIN-29\\\"></use></g></g></g></g></svg><span role=\\\"presentation\\\"><math xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\"><mrow is=\\\"true\\\"><msub is=\\\"true\\\"><mi is=\\\"true\\\">C</mi><mi is=\\\"true\\\">p</mi></msub><mrow is=\\\"true\\\"><mo is=\\\"true\\\">(</mo><mi is=\\\"true\\\">T</mi><mo is=\\\"true\\\">)</mo></mrow></mrow></math></span></span><script type=\\\"math/mml\\\"><math><mrow is=\\\"true\\\"><msub is=\\\"true\\\"><mi is=\\\"true\\\">C</mi><mi is=\\\"true\\\">p</mi></msub><mrow is=\\\"true\\\"><mo is=\\\"true\\\">(</mo><mi is=\\\"true\\\">T</mi><mo is=\\\"true\\\">)</mo></mrow></mrow></math></script></span>, is one of the most important thermodynamic properties of any material. Although this is routinely measured for glasses near and below the glass transition temperature, <span><span style=\\\"\\\"></span><span data-mathml='<math xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\"><msub is=\\\"true\\\"><mi is=\\\"true\\\">T</mi><mi is=\\\"true\\\">g</mi></msub></math>' role=\\\"presentation\\\" style=\\\"font-size: 90%; display: inline-block; position: relative;\\\" tabindex=\\\"0\\\"><svg aria-hidden=\\\"true\\\" focusable=\\\"false\\\" height=\\\"2.548ex\\\" role=\\\"img\\\" style=\\\"vertical-align: -0.812ex;\\\" viewbox=\\\"0 -747.2 1024.3 1096.9\\\" width=\\\"2.379ex\\\" xmlns:xlink=\\\"http://www.w3.org/1999/xlink\\\"><g fill=\\\"currentColor\\\" stroke=\\\"currentColor\\\" stroke-width=\\\"0\\\" transform=\\\"matrix(1 0 0 -1 0 0)\\\"><g is=\\\"true\\\"><g is=\\\"true\\\"><use xlink:href=\\\"#MJMATHI-54\\\"></use></g><g is=\\\"true\\\" transform=\\\"translate(584,-150)\\\"><use transform=\\\"scale(0.707)\\\" xlink:href=\\\"#MJMATHI-67\\\"></use></g></g></g></svg><span role=\\\"presentation\\\"><math xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\"><msub is=\\\"true\\\"><mi is=\\\"true\\\">T</mi><mi is=\\\"true\\\">g</mi></msub></math></span></span><script type=\\\"math/mml\\\"><math><msub is=\\\"true\\\"><mi is=\\\"true\\\">T</mi><mi is=\\\"true\\\">g</mi></msub></math></script></span>, very few experimental data exist for supercooled liquids between <span><span style=\\\"\\\"></span><span data-mathml='<math xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\"><msub is=\\\"true\\\"><mi is=\\\"true\\\">T</mi><mi is=\\\"true\\\">g</mi></msub></math>' role=\\\"presentation\\\" style=\\\"font-size: 90%; display: inline-block; position: relative;\\\" tabindex=\\\"0\\\"><svg aria-hidden=\\\"true\\\" focusable=\\\"false\\\" height=\\\"2.548ex\\\" role=\\\"img\\\" style=\\\"vertical-align: -0.812ex;\\\" viewbox=\\\"0 -747.2 1024.3 1096.9\\\" width=\\\"2.379ex\\\" xmlns:xlink=\\\"http://www.w3.org/1999/xlink\\\"><g fill=\\\"currentColor\\\" stroke=\\\"currentColor\\\" stroke-width=\\\"0\\\" transform=\\\"matrix(1 0 0 -1 0 0)\\\"><g is=\\\"true\\\"><g is=\\\"true\\\"><use xlink:href=\\\"#MJMATHI-54\\\"></use></g><g is=\\\"true\\\" transform=\\\"translate(584,-150)\\\"><use transform=\\\"scale(0.707)\\\" xlink:href=\\\"#MJMATHI-67\\\"></use></g></g></g></svg><span role=\\\"presentation\\\"><math xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\"><msub is=\\\"true\\\"><mi is=\\\"true\\\">T</mi><mi is=\\\"true\\\">g</mi></msub></math></span></span><script type=\\\"math/mml\\\"><math><msub is=\\\"true\\\"><mi is=\\\"true\\\">T</mi><mi is=\\\"true\\\">g</mi></msub></math></script></span> and the liquidus temperature, <span><span style=\\\"\\\"></span><span data-mathml='<math xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\"><msub is=\\\"true\\\"><mi is=\\\"true\\\">T</mi><mi is=\\\"true\\\">l</mi></msub></math>' role=\\\"presentation\\\" style=\\\"font-size: 90%; display: inline-block; position: relative;\\\" tabindex=\\\"0\\\"><svg aria-hidden=\\\"true\\\" focusable=\\\"false\\\" height=\\\"2.317ex\\\" role=\\\"img\\\" style=\\\"vertical-align: -0.582ex;\\\" viewbox=\\\"0 -747.2 895.6 997.6\\\" width=\\\"2.08ex\\\" xmlns:xlink=\\\"http://www.w3.org/1999/xlink\\\"><g fill=\\\"currentColor\\\" stroke=\\\"currentColor\\\" stroke-width=\\\"0\\\" transform=\\\"matrix(1 0 0 -1 0 0)\\\"><g is=\\\"true\\\"><g is=\\\"true\\\"><use xlink:href=\\\"#MJMATHI-54\\\"></use></g><g is=\\\"true\\\" transform=\\\"translate(584,-150)\\\"><use transform=\\\"scale(0.707)\\\" xlink:href=\\\"#MJMATHI-6C\\\"></use></g></g></g></svg><span role=\\\"presentation\\\"><math xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\"><msub is=\\\"true\\\"><mi is=\\\"true\\\">T</mi><mi is=\\\"true\\\">l</mi></msub></math></span></span><script type=\\\"math/mml\\\"><math><msub is=\\\"true\\\"><mi is=\\\"true\\\">T</mi><mi is=\\\"true\\\">l</mi></msub></math></script></span>. Such measurements are reported here for a good bulk metallic glass, Cu<sub>47</sub>Zr<sub>47</sub>Al<sub>6</sub>, using conventional calorimetry on earth and modulation calorimetry aboard the International Space Station (ISS) on levitated solid and liquid samples. These data enable a complete thermodynamic characterization of this alloy in the crystal, glass, and the supercooled and equilibrium liquid phases. With these data it is possible to estimate the heat of fusion, driving free energy for crystallization, critical thickness, and fragility of the metallic glass.\",\"PeriodicalId\":238,\"journal\":{\"name\":\"Acta Materialia\",\"volume\":\"6 1\",\"pages\":\"\"},\"PeriodicalIF\":8.3000,\"publicationDate\":\"2025-06-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Acta Materialia\",\"FirstCategoryId\":\"88\",\"ListUrlMain\":\"https://doi.org/10.1016/j.actamat.2025.121201\",\"RegionNum\":1,\"RegionCategory\":\"材料科学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MATERIALS SCIENCE, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Acta Materialia","FirstCategoryId":"88","ListUrlMain":"https://doi.org/10.1016/j.actamat.2025.121201","RegionNum":1,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATERIALS SCIENCE, MULTIDISCIPLINARY","Score":null,"Total":0}
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Temperature dependent specific heat measurements of equilibrium, supercooled liquid, glass, and the corresponding crystal of Cu47Zr47Al6 from terrestrial and microgravity experiments on the International Space Station
The temperature dependent specific heat, C p ( T ) , is one of the most important thermodynamic properties of any material. Although this is routinely measured for glasses near and below the glass transition temperature, T g , very few experimental data exist for supercooled liquids between T g and the liquidus temperature, T l . Such measurements are reported here for a good bulk metallic glass, Cu47 Zr47 Al6 , using conventional calorimetry on earth and modulation calorimetry aboard the International Space Station (ISS) on levitated solid and liquid samples. These data enable a complete thermodynamic characterization of this alloy in the crystal, glass, and the supercooled and equilibrium liquid phases. With these data it is possible to estimate the heat of fusion, driving free energy for crystallization, critical thickness, and fragility of the metallic glass.