考虑热效应的Vinet状态方程及其应用

孙久勋; 吴强; 蔡灵仓; 经福谦

doi:10.11858/gywlxb.2004.02.003

考虑热效应的Vinet状态方程及其应用

doi: 10.11858/gywlxb.2004.02.003

1.
电子科技大学应用物理系，四川成都 610054；
2.
中国工程物理研究院流体物理研究所冲击波物理与爆轰物理实验室，四川绵阳 621900

详细信息

通讯作者:
孙久勋

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出版历程
- 收稿日期: 2003-05-23
- 修回日期: 2003-09-12
- 发布日期: 2004-06-05

Thermal Vinet Equation of State and Its Applications

1.
Department of Applied Physics, University of Electronic Science & Technology, Chengdu 610054, China;
2.
Laboratory for Shock Wave and Detonation Physics Research, Institute of Fluid Physics, CAEP, Mianyang 621900, China

More Information

Corresponding author: SUN Jiu-Xun

摘要

摘要: 基于爱因斯坦模型将Vinet等人提出的关于金属固体的通用物态方程推广到包括热效应。采用最近邻普遍化Lennard-Jones势描述金属离子之间的有效配对相互作用，将每个离子的势能展开为离子位移的二阶泰勒级数，从而推导出爱因斯坦温度和Grneisen常数的解析表达式，该表达式只与体积有关而与温度无关。推广方程包括的7个参数只有5个是独立的，在高于德拜温度时，只需要4个参数。对典型金属及两种非金属材料计算的结果与实验符合得很好。
- 状态方程 /
- 爱因斯坦模型 /
- 热物理性质
Abstract: Based on the Einstein model, the universal equation of state for solids proposed by Vinet et al. is extended to include the thermal effect. Employing the nearest neighbor generalized Lennard-Jones potential to describe the effective interaction between the ions, the lattice part of potential energy per atom is expanded as quadratic function of displacement of ion to derive the Einstein temperature and Debye-Grneisen parameter as a function of the volume. The theory contains four potential parameters except for the three parameters in the Vinet EOS, but only five of them are independent, and as the temperature being higher than the Debye temperature, the number of independent parameter can be further reduced to four. The theory is applied for 23 metallic solids, to predict Debye-Grneisen parameters and compressibility coefficients at chamber temperature. The predicted results are in good agreement with the experimental data. The predicted variation of compressibility and thermal expansivity coefficients with temperature for gold, copper, xenon and sodium chloride also are in good agreement with the experimental data.
- equation of state /
- Einstein model /
- thermodynamic properties

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参考文献(18)

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