用冲击压缩数据计算物态方程的一种方法——Grüneisen系数最优化

 本文给出了一种用冲击压缩数据计算Grüneisen物态方程参数的方法。它使Grüneisen系数沿实验冲击绝热线的计算值与晶格振动理论的计算值达到最优拟合，给出了23种金属的冷能，冷压公式中的ρ_0K、Q和q以及Grüneisen系数的结果。用这些参数算得的冲击绝热线与实验冲击绝热线之间的平均相对偏差在1%以内。     

固体热膨胀系数与压强关系的一个近似公式

 假定Anderson-Grüneisen参量δ_T(T, p)=δ_T(T, 0),利用改造的Tait方程,导出了固体热膨胀系数与压强关系的一个近似公式。应用于NaCl晶体,在压强为0～1 GPa、温度为300～800 K范围内,热膨胀系数的计算值与实验值一致。     

水绿矾的状态方程和高压熔化

 用阻抗匹配法和压电探针技术测量了初始密度为1.714 g/cm³（孔隙率α=ρ₀/ρ₀₀=1.898/1.714=1.107）的水绿矾（FeSO₄·7H₂O）的冲击压缩线,发现其在0～100 GPa范围内存在两个明显相区：含有部分熔融的低压相和完全熔化的高压相。在两个相区内,冲击波速度D和波后粒子速度u可分别描述为：D=0.59+2.06u（u<3.12 km/s）和D=3.18+1.223u（u≥3.12 km/s）。从冲击压缩数据出发,用欧拉有限应变理论得到了其等熵状态方程。其熔化方程可用p_m(GPa) =0.159(T_m(K)/1000)^6.3371+0.69来近似描述。     

斜波发生器的设计准则

 导出了斜波发生器的设计准则，它可表示为γ<-[(2/3)+(g/2)]，或者为α<-[(2/3)+(g/2)](c_V/c²)（γ为Grüneisen系数，α热膨胀稀疏，c_V定容比热容，c流体力学声速，g材料系数）。对一种微晶玻璃的实验测量结果表明，它可用做斜波发生器，在其厚度为20.39 mm时，可以把冲击波改造成上升时间约800 ns的加速度波。     

铅的高压状态方程与熔化曲线

基于Gray三相状态方程模型,采用GRIZZLY的Grüneisen系数模型,对铅的冲击雨贡纽线、等温压缩线、等熵压缩线和熔化曲线进行了系统计算,优化参数,获得与实验数据一致的冲击雨贡纽线、等温压缩线与等熵压缩线,计算所得熔化温度线与X射线衍射实验结果吻合得很好。     

顽火辉石(Mg0.92,Fe0.08)SiO3的冲击相变和高压状态方程及其地球物理意义

 用阻抗匹配法和电探针技术在48~140 GPa冲击压力范围内对化学组分为(Mg_0.92, Fe_0.08)SiO₃、初始密度为3.06 g/cm³的天然顽火辉石进行了冲击压缩实验。根据本工作13发实验数据，结合McQueen等人的数据可以看出，(Mg_0.92, Fe_0.08)SiO₃顽火辉石在冲击压缩过程中，大约经历三个明显区域：低压相区，压力范围为0~40 GPa；混合相区，压力范围为40～67 GPa；高压相区，压力范围为68～140 GPa。在低压相区，D-u关系已由McQueen给出；而在高压相区（68～140 GPa），可由本实验数据得到。由叠加原理计算得到的混合物(Mg_0.92, Fe_0.08)O(Mw)+SiO₂(St)的D-u关系及p-ρ关系曲线明显偏离了实验数据的拟合曲线，从而排除了在高达140 GPa冲击压力下，钙钛矿结构的(Mg_0.92, Fe_0.08)SiO₃发生向氧化物化学分解相变的可能性。对高压相区的实验数据进行拟合，可以得到(Mg_0.92, Fe_0.08)SiO₃钙钛矿的Grüneisen参数γ。通过三阶Birch-Murnaghan有限应变状态方程，由冲击波实验数据得到了零压等熵体积模量K_0S=259.6(9) GPa及其对压力的一阶偏导数K′_0S=4.20(5)，其ρ₀=4.19 g/cm³。(Mg_0.92, Fe_0.08)SiO₃钙钛矿冲击压缩下的密度数据与PREM密度剖面吻合很好，支持钙钛矿为主要成分的下地幔模型。     

Hugoniot线上的一个经验常数——来自多孔材料Hugoniot数据的对比研究

 对不同初始密度样品冲击压缩Hugoniot数据的系统分析显示，对每种固体物质而言存在一个表征材料特性的沿其Hugoniot线不随冲击压力而变的经验常数β。β的数值随材料而异。对金属元素而言，该经验特性常数β与初始密实密度ρ₀之间遵循同一个幂指数关系。利用该常数β，可很方便地对不同初始密度的Hugoniot数据进行换算，并可以很方便地获得Grüneisen参数。还对β值为常数的适用范围作了讨论。     

陶瓷物态方程实验研究

 采用爆轰加载和阻抗匹配法，得到了05-Al₂O₃陶瓷的冲击波速度D和粒子速度u的线性关系为：D=(2.60±0.20)+(1.65±0.09)u（km/s）。根据所得实验结果，利用Born-Meyer势获得了Grüneisen物态方程。     

液态金属的定容比热随温度变化的理论研究

 Grover根据实验数据给出，液态金属的定容比热随温度近似线性减小：c_V≈3R-ζRT/T_m，式中T为温度，T_m为熔化温度，R为普适气体常数，ζ为经验常数，其值在0.11至0.24之间，就平均来说，ζ≈0.15。利用Lennard-Jones-Devonshire理论对这一经验关系进行了解释。     

BaCuO2.5在高压下的状态方程与电学性质

 在活塞-圆筒式高压装置上研究了BaCuO_2.5在4.5 GPa内的p-V关系,给出了其状态方程、Grüneisen参数γ₀、零压体弹模量B₀以及B₀的压力导数B′₀。并在金刚石压砧装置（DAC）上测量了样品的电阻、电容随压力变化的关系,结果表明在0~20 GPa内没有发生相变。     

Melting curve and Grüneisen coefficient for aluminum

The Lindeman law and a model for the volume dependence of the Grüneisen coefficient generalizing previous current theories are used to calculate the melting curve of aluminum at high pressure. In this model, the Grüneisen coefficient depends on a parameter p specific for the investigated material. Agreement between the calculated melting curve and experimental results involves a negative value of p for aluminum. This result confirms previous determinations of p from shock-wave data and also from the pressure dependance of the elastic moduli determined by ultrasonic measurements.     

On the spectral frequency distribution of translational vibrations in a face-centered cubic lattice of the C60 fullerite

The spectral frequency distribution g(ω) of translational lattice vibrations in the face-centered cubic phase of the C₆₀ fullerite at T = 300 K is calculated by the superposition method. The contribution from the translational vibrations to the heat capacity C _V of the C₆₀ fullerite and the x-ray characteristic temperature gJ_R entering into the exponent of the Debye-Waller factor are determined using the calculated frequency distribution g(ω). The results of the calculations are in good agreement with experimental data. It is noted that the librational and intramolecular lattice vibrations observed in the C₆₀ fullerite do not contribute significantly to the temperature-induced decrease in the x-ray diffraction intensity at T = 300 K. The Grüneisen parameters γ_mod calculated from the x-ray diffraction data are consistent with the thermodynamic Grüneisen parameters γ_lat at temperatures T ≤ 80 K but substantially exceed those at T ≈ 300 K. New x-ray diffraction experiments are proposed for independently determining the anomalously large negative values of the parameter γ₀, which is actually an orientational analog of the Grüneisen parameter.     

几种合金钢在高压下的状态方程

 本工作测定了合金钢45CrNiMoV、GCr15和W18Cr4V在室温下、4.5 GPa内的p-V关系，并给出了它们的Bridgman方程、格临爱森参数γ₀、体积模量B₀及B₀的压力导数B₀'。     

Grüneisen parameter for HCP iron at extreme compression

The Thomas–Fermi approximation gives the Grüneisen parameter γ=γ_∞=1/2 for all materials at extreme compression (P→∞ or V→0). After re-analyzing the existing experimental data of volume dependence of Grüneisen parameter γ of hexagonal close-packed (HCP) iron, we find that γ=1/2+a(V/V ₀)^1/3+b(V/V ₀) ⁿ , where a, b and n are constants. Based on this new form of γ, the second Grüneisen parameter q, the Debye temperature θ_D and the shear sound velocity v _s of HCP iron are discussed in the present work. It is found that the zero pressure second Grüneisen parameter q ₀=0.654, which is consistent with the previously determined value of HCP iron for Earth's core physics from Dubrovinsky et al. The calculations for the Debye temperature and the shear sound velocity are also found to be in good agreement with the experimental data.     

KH2PO4和(CH3NHCH2COOH)CaCl2在高压下的状态方程与相变

 在活塞圆筒式p-V关系测量装置上，研究了KH₂PO₄（KDP）和(CH₃NHCH₂COOH)CaCl₂［Tris-sarcosine calcium chloride（TSCC）］在室温下、4.5 GPa内的p-V关系。实验结果表明：KDP在2.1 GPa左右有一个相变；TSCC在0.8 GPa和3.2 GPa左右各有一个相变。本工作还给出了它们在相变前后的状态方程，以及它们的格临爱森参数γ₀、体积模量B₀和B₀的压力导数B₀'。     

Melting curve of sodium at high pressure

A semiempirical model equation of state is developed in terms of bulk modulus and the Grüneisen parameter to compute the melting temperature of sodium in the gigapascal range of pressure. The model successfully explains the increase and decrease of T _m as the pressure increases. Computed values of the critical pressure and temperature are in very good agreement with the experimental observations.     

On the correlation between thermal expansion coefficient and heat capacity of argon cryocrystals

A detailed analysis of the correlation between the volumetric thermal expansion coefficient o(T) and heat capacity C(T) of a rare-gas (Ar) cryocrystal has been performed. It has been shown that there is a clear correlation dependence o(C) not only in the low-temperature range, where it is linear and known as the Grüneisen law, but also in a significantly wider temperature range (up to the melting point of argon). The dependence o(C) substantially deviates from the low-temperature linear behavior when the heat capacity reaches the classical Dulong-Petit limit of 3R.