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4种等温物态方程适用性的比较研究

DOI: 10.11858/gywlxb.2006.03.016, PP. 313-321

Keywords: 普适物态方程,体积模量及其压力导数,高压压缩曲线,压力误差

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Abstract:

通过分析现有文献,认为4种两参数的物态方程在高压物理研究中较为流行,它们是Vinet、Baonza、Morse和Born-Meyer(BM)方程。将这4种方程用于拟合50种材料的实验压缩数据,得出了零压下压缩模量及其一阶压力导数的优化取值,并计算了4种方程的平均压力误差。结果表明,Morse方程的精度最高,对50种材料的平均拟合误差为0.5576%;BM方程次之,平均误差为0.6151%;Vinet和Baonza方程的误差大一些,分别为0.7889%和0.8333%。对8种典型材料计算了压力误差随压强变化的曲线,所得结果与平均误差的趋势一致,也是Morse方程的精度最高。在宽广压力范围的高压物态方程研究中,推荐使用Morse方程。

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