An improved Lindemann melting rule

An improved Lindemann melting rule
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改进的林德曼熔化规则

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发表时间:
2001
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通讯作者:
A. Lawson
A. Lawson
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作者:
A. Lawson

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Lindemann熔点规则将熔点值与熔点处温度相关的热振动振幅值联系起来。我们在各种金属元素上测试了这一规则。如果考虑到弹性特性的温度依赖性和临界振动振幅随质量的变化,它在从Li到Pu的整个周期系统中工作得相当好。对林德曼规则的各种修正进行了精度评价。我们提出了一种新的基于声子平均自由程的林德曼规则的物理解释。
Abstract The Lindemann melting rule associates the value of the melting point with that of the temperature-dependent thermal vibration amplitude at the melting point. We test the rule over a wide range of metallic elements. It works fairly well over the entire periodic system, from Li to Pu, provided that the temperature dependence of the elastic properties and the variation in the critical vibrational amplitude with mass are taken into account. The accuracy of various modifications of the Lindemann rule is evaluated. We propose a new physical interpretation of the Lindemann rule, based on the phonon mean free path.