高压物理学报2004,Vol.18Issue(2):109-115,7.
考虑热效应的Vinet状态方程及其应用
Thermal Vinet Equation of State and Its Applications
摘要
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-Grüneisen 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-Grüneisen 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.关键词
状态方程/爱因斯坦模型/热物理性质Key words
equation of state/Einstein model/thermodynamic properties分类
数理科学引用本文复制引用
孙久勋,吴强,蔡灵仓,经福谦..考虑热效应的Vinet状态方程及其应用[J].高压物理学报,2004,18(2):109-115,7.基金项目
Science Foundation outer of the China Academy of Engineering Physics under Grant No.99010102 ()
Natural Science Foundation of China under Grant No.19904002,and the Youth Science and Technology Foundation of UESTC ()