A New Approach to Evaluate Pressure of Solids at High Compression

IF 1.2 4区综合性期刊 Q3 MULTIDISCIPLINARY SCIENCES

National Academy Science Letters Pub Date : 2024-06-20 DOI:10.1007/s40009-024-01409-0

Abhay P. Srivastava, Brijesh K. Pandey, Abhishek Kumar Gupta, Anjani Kumar Pandey

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Abstract

The new isothermal equation of state (NEOS) for solids is derived through the theory of lattice potential, utilizing the concept of volume dependence of the short-range force constant. To obtain this equation of state, we employed the concept of the third-order approximation of the lattice potential. For critical analysis, we compared the results of isothermal equations of state (EOSs), such as Vinet EOS, Murnaghan EOS, Holzapfel EOS, Born-Mie EOS, Birch–Murnaghan EOS, and NEOS. The newly derived equation of state (NEOS) has been utilized to analyze the compression behavior of molybdenum (Mo), Potassium (K), and Xenon (Xe). It was found that NEOS is in good agreement with experimental data for given solids Mo, K, and Xe up to high compression, while Vinet EOS, Murnaghan EOS, Born-Mie EOS, Holzapfel EOS, and Birch–Murnaghan EOS are less sensitive in calculating pressure at high compression in most cases. Thus, NEOS remains consistent and in good agreement with experimental results for all the samples of solids taken, even up to high compression.

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评估高压缩固体压力的新方法

新的固体等温状态方程（NEOS）是通过晶格势理论，利用短程力常数的体积依赖性概念推导出来的。为了得到这个状态方程，我们采用了晶格势三阶近似的概念。在临界分析中，我们比较了等温状态方程（EOS）的结果，如 Vinet EOS、Murnaghan EOS、Holzapfel EOS、Born-Mie EOS、Birch-Murnaghan EOS 和 NEOS。新推导出的状态方程（NEOS）被用来分析钼（Mo）、钾（K）和氙（Xe）的压缩行为。研究发现，对于给定的固体钼、钾和氙，NEOS 与实验数据在高压缩情况下具有良好的一致性，而在大多数情况下，Vinet EOS、Murnaghan EOS、Born-Mie EOS、Holzapfel EOS 和 Birch-Murnaghan EOS 在计算高压缩压力时的灵敏度较低。因此，对于所采集的所有固体样本，NEOS 与实验结果保持一致和良好的一致性，即使在高压缩情况下也是如此。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

National Academy Science Letters 综合性期刊-综合性期刊

CiteScore

2.20

自引率

0.00%

发文量

审稿时长

12 months

期刊介绍： The National Academy Science Letters is published by the National Academy of Sciences, India, since 1978. The publication of this unique journal was started with a view to give quick and wide publicity to the innovations in all fields of science