UNIVERSAL EQUATION OF STATE FOR COMPRESSED SOLIDS

UNIVERSAL EQUATION OF STATE FOR COMPRESSED SOLIDS
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DOI:
10.1103/physrevb.49.3049
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发表时间:
1994-02-01
期刊:
影响因子:
3.7
通讯作者:
MASON, EA
MASON, EA
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
PARSAFAR, G;MASON, EA

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基于应用于 E(rho, T) 和 p (rho, T) 维里展开的热力学参数,我们推导出压缩固体的通用状态方程,其形式为 p (upsilon/upsilon(0))(2) = A(0) + A(1)(rho/rho(0))+ A(2)(rho/rho(0))(2)。从一开始就包含了热压力,唯一必要的近似是膨胀的截断,这是通过分子论证证明的。对于多种材料,包括量子固体、稀有气体和极性气体固体、金属、离子化合物和碳氢化合物,与实验的一致性非常好。单独的假设给出了参数的温度依赖性:A(i)(T) = A(i) + b(i) T - c(i) T lnT,其中 T > theta(D)。这些结果以简单的方式解释了格鲁内森数作为温度和密度的函数的通常行为。
We derive a universal equation of state for compressed solids, based on thermodynamic arguments applied to virial expansions of E(rho, T) and p (rho, T), of the form p (upsilon/upsilon(0))(2) = A(0) + A(1)(rho/rho(0))+ A(2)(rho/rho(0))(2). The thermal pressure is included from the beginning, and the only essential approximation is the truncation of expansions, which is justified by molecular arguments. Agreement with experiment is very good for a wide range of materials, including quantum solids, noble-gas and polar-gas solids, metals, ionic compounds, and hydrocarbons. A separate assumption gives the temperature dependence of the parameters as A(i)(T) = A(i) + b(i) T - c(i) T lnT, for T > theta(D). The usual behavior of the Gruneisen number as a function of temperature and density is accounted for in a simple way by these results.