Pressure dependence of crystal structure and molecular packing in anthracene

Anthracene molecular crystal has been investigated up to a pressure of 10.5 GPa at room temperature using variable shape variable size Monte Carlo simulations in an isothermal–isobaric ensemble. We have reported various structural quantities, such as cell parameters and unit cell volume, as a function of pressure and compared them with the experimental results [J. Chem. Phys. 119, 1078 (2003)]. The pressure dependence of angles θ, δ and χ which describe the relative packing of molecules in the crystal has been calculated. We report that anthracene molecular crystal does not exhibit any first order phase transition up to a pressure of 10.5 GPa which is consistent with the experimental observations by Oehzelt et al. [Phys. Rev. B 66, 174104 (2002)]. The calculated equation of state (EOS) has been fitted to a Murnaghan-type EOS with good agreement. The calculated bulk modulus and the pressure derivative of bulk modulus are 8.2 GPa and 8.9 respectively which are in agreement with the experimentally calculated values.     

Simulated equation of state of CaF2 with fluorite-type structure at high temperature and high pressure

The pressure-volume-temperature (P-V-T) equation of state (EOS), isothermal bulk modulus, and thermal expansivity of CaF₂ with cubic fluorite-type structure are investigated using the constant temperature and pressure shell model molecular dynamics (MD) method with effective pair potentials which consist of the Coulomb, dispersion, and repulsion interaction. It was shown that MD simulation is very successful in accurately reproducing the measured volumes of the CaF₂ over a wide range of pressures. The simulated P-V data matched X-ray diffraction experimental results up to 9.5 GPa at 300 K. In addition, volume thermal-expansion coefficient and isothermal bulk modulus were also calculated and compared with available experimental data and the latest theoretical results at ambient condition. At extended temperature and pressure ranges, The P-V EOS under different isotherms at selected temperatures, T-V EOS under different isobars at selected pressures, thermal expansivity, and isothermal bulk modulus were predicted up to 1500 K and 10 GPa. The detailed knowledge of thermodynamic behavior and EOS at extreme conditions are of fundamental importance to the understanding of the physical properties of CaF₂.     

百吉帕压力下固态氩的状态方程

 利用最新的X光衍射实验数据和Ar原子的弹性散射实验结果，得到了Ar原子间的相互作用和350 GPa下的固态氩的状态方程。这个状态方程可以作为超高压力下的压标。在150 GPa以上的压标，是目前高压研究中急需的。固态氩既可作为准静水压传压介质，又可作为高压X光衍射中的压标使用。本文计算了固态氩的Grüneisen参数、Debye特征参数、定容比热和等温体模量随压力的变化，压力范围为0~150 GPa。     

Thermal equation-of-state of osmium: a synchrotron X-ray diffraction study

The pressure-volume-temperature behavior of osmium was studied at pressures and temperatures up to 15 GPa and 1273 K. In situ measurements were conducted using energy-dispersive synchrotron X-ray diffraction in a T-cup 6-8 high pressure apparatus. A fit of room-temperature data by the third-order Birch-Murnaghan equation-of-state yielded isothermal bulk modulus K₀=435(19) GPa and its pressure derivative K′₀=3.5(0.8) GPa. High-temperature data were analyzed using Birch-Murnaghan equation of state and thermal pressure approach. The temperature derivative of bulk modulus was found to be −0.061(9) GPa K⁻¹. Significant anisotropy of osmium compressibility was observed.     

Atomistic Simulation of the Equation of State of SrF 2 Using Electron Gas Interionic Potentials

We have determined the equation of state (EOS) of SrF 2 in the cubic (C1, Fm3m ) and orthorhombic (C23, Pbnm ) phases using Electron Gas Interionic Potentials (EGIP) that incorporate many-body energy components. Thermal effects are included by means of a quasi-harmonic Debye model. The zero pressure unit cell length ( a 0 ), lattice energy ( E latt ), bulk modulus ( B 0 ), and EOS of the C1 phase are predicted in good agreement with the observed data. Moreover, the computed EOS satisfy very well the empirical Vinet EOS. Fittings of m / m 0 m p data ( m = a, b, c ) to linear forms of the Vinet EOS reveal that SrF 2 (C23) is more compressible along the b and c axes than along the a direction. Finally, the {\rm C1}\rightleftharpoons {\rm C23} transition is predicted to occur at p t =3.92 GPa, which is between the observed direct ( p t =5.0 GPa) and reverse C1 ( p t =1.7 GPa) phase transitions.     

Osmium metal studied under high pressure and nonhydrostatic stress

Interest in osmium as an ultra-incompressible material and as an analog for the behavior of iron at high pressure has inspired recent studies of its mechanical properties. We have measured elastic and plastic deformation of Os metal at high pressures using in situ high pressure x-ray diffraction in the radial geometry. We show that Os has the highest yield strength observed for any pure metal, supporting up to 10 GPa at a pressure of 26 GPa. Furthermore, our data indicate changes in the nonhydrostatic apparent c/a ratio and clear lattice preferred orientation effects at pressures above 15 GPa.     

分片光滑物态方程的能量方程非线性迭代解法

实际应用中的物态方程由分片光滑曲面拼接而成,拼接处存在间断.隐式求解相应的能量方程时,经常出现迭代收敛慢的情况和非物理解.本文通过构造对应的新的非线性问题,提出一种非线性迭代算法.该算法适用于求解有间断的分片光滑物态方程的非线性能量方程,其中引入一个度量能量变化的参数用于自动判断跳段是否发生,在求解时无需事先知道物态方程间断的位置,且能精确计算物态方程间断带来的能量盈亏,用于评估物态方程间断对能量的影响.典型算例验证了新算法具有稳定的收敛性,并给出符合物理规律的解.     

过渡金属锇在高压下的力学特性

 基于密度泛函理论平面波赝势法的第一性原理计算,研究了过渡金属锇在高压下的状态方程、弹性常数和其它力学性质。 计算结果表明：过渡金属锇具有很高的体积模量B₀（423.9 GPa）和弹性常数C₁₁（771.3 GPa）与C₃₃（852.0 GPa）,与金刚石的（B₀=452.8 GPa,C₁₁=C₃₃=1 082.9 GPa）比较,具有超低压缩特性;表征材料抵抗剪切变形能力的弹性常数C₄₄（269.8 GPa）和切变模量（276.8 GPa）只有金刚石的（C₄₄=586.9 GPa,G=537.5 GPa）一半,而所成的又是纯金属键,因此锇不具有超硬性。最后,定性分析了它的高体积模量和低硬度的微观电子机制,这对于设计与合成新的超硬性材料具有启发意义。     

C60 under pressure-bulk modulus and equation of state

C₆₀ has been investigated under pressure up to 13 GPa using angular dispersive X-ray scattering and a diamond anvil cell. The resolution of the experimental setup allows to examine the volume decrease dV/dp under pressure even for pressures of a tenth of a GPa. The obtained data of numerous experimental runs result in a bulk modulus of 13.4 GPa, which is much smaller than the value reported by Duclos et al. [1]. At 170 K and 70 K a bulk modulus of 14.2 GPa and 14.7 GPa was obtained, respectively. The pressure induced fcc-sc transition at 300 K was clearly visible at approx. 0.3 GPa with a jump in the lattice parameter of 0.05 Å. With increasing pressure we found an extreme change in dV/dp, which disables the usage of common equations of state (EOS), like the Murnaghan [2] or Birch [3] equation. Considering the small compressibility of the fullerence molecules we suggest a modified EOS to describe the experimental data.     

Crystal Structure Transformations of Rare-Gas Solids Under Pressure

Pressure-induced structural changes in solid krypton (Kr) and xenon (Xe) have been studied using angle dispersive X-ray diffraction in a diamond-anvil cell (DAC) up to 50 GPa. The analysis of the results shows that in solid Kr (Xe) the phase transition from fcc to hcp starts below 3.2 GPa (1.5 GPa). Albeit the hcp/fcc ratio increases under pressure, both phases coexist up to the highest pressure reached in this study. Room temperature (RT) equations of state (EOS) are determined.     

广义Morse流体解析状态方程及对氮的应用

 根据Ross变分微扰理论以及硬球流体Percus-Yevick（PY） 径向分布函数表达式,建立了广义Morse势流体的解析状态方程。与模拟结果的比较一方面证实了广义Morse 势模型的合理性;另一方面表明了解析Ross变分微扰理论的精度相当或略好于非解析的Weeks-Chandler-Anderson （mWCA）理论,而优于复杂的优化超网络链积分方程理论（RHNC）。该解析状态方程被应用于拟合处于环境温度和压强小于1 GPa情形流体氮的实验数据,所得到的势能参数被用于预测高温高密度情形氮流体的压强,预测结果证实,该解析状态方程可以很好地适用于较宽的压强和温度范围。     

静高压加载下LY12铝的超声测量与等温状态方程

 利用“脉冲回波重合法”测量了多晶LY12铝在流体静压加载下的纵波与横波声速随压力的变化。并根据较低压力（<0.5 GPa）下的超声测量数据所确定的零压弹性模量及其对压力的偏导数,导出了LY12铝的Murnaghan、Birch-Murnaghan、Vinet三种不同形式的等温状态方程,发现由超声测量数据导出的Vinet 状态方程能很好地描述面心立方（fcc）结构的铝与铝合金在较高压力（约200 GPa）下的压缩特性。此外,由超声数据计算了LY12铝在室温常压条件下的Debye温度为430.97 K、热力学Grüneisen系数为2.025、平均声模Grüneisen系数为2 379。     

Elastic, thermal and structural properties of platinum

The thermal equation of state (EOS) for platinum has been calculated to 300 GPa and 3000 K using ab initio molecular dynamics employing the local density approximation (LDA) and the projector augmented-wave methods (PAW). Direct ab initio molecular dynamics avoids the simplifying assumptions inherent in empirical treatments of thermoelasticity. A third-order Birch-Murnaghan equation EOS fitted to the 300 K data yielded an isothermal bulk modulus of B_T0=290.8 GPa and a pressure derivative of B_T′=5.11, which are in better agreement with the measured values than those obtained by previous calculations. The high-temperature data were fitted to a thermal pressure EOS and a Mie-Grüneisen-Debye EOS. The resulting calculated thermal expansion coefficient, α₀, temperature derivative of the isothermal bulk modulus, (∂B_T/∂T)_V, and second temperature derivative of the pressure, (∂²P/∂T²)_V, were 1.94×10⁻⁵ K⁻¹, −0.0038 GPa K⁻¹, and 1.7×10⁻⁷ GPa² K⁻², respectively. A fit to the Mie-Grüneisen-Debye EOS yielded values for the Grüneisen parameter, γ₀, and its volume dependence parameter, q, of 2.18 and 1.75, respectively. An analysis of our data revealed a strong volume dependence of the thermal pressure of platinum. We also present a qualitative analysis of the effects of intrinsic anharmonicity from the calculated Grüneisen parameter at high temperatures.     

Ultrahigh pressure equation of state of CaS to 1.5 Mbar

Abstract

Energy Dispersive X-ray Diffraction (EDXD) was performed at room temperature to gather structural data on CaS between approximately 1.7 GPa to nearly 150GPa. In these experiments, CaS retained the B1 structure up to approximately 40 GPa above which it began to transform to the B2 structure. The B2 structure remained stable to the highest pressure reached, 149 GPa, where the relative volume V/V₀ was 0.490. Previous studies on CaS extended only up to 52 GPa, which is barely 10 GPa after the B1 phase changes to the B2 structure. Thus it was not possible to accurately extrapolate the equation of state (EOS) for the B2 phase region to significantly higher pressures. In the present study EOS data for CaS was collected to 150 GPa and no other structural change was observed. EOS parameters for the B1 and B2 phase regions agree well with values reported in the literature.     

Ultrahigh pressure equation of state of tantalum to 310 GPa

ABSTRACT

The isothermal compression of transition metal tantalum (Ta) was studied in a diamond anvil cell by X-ray diffraction utilizing rhenium (Re) and gold (Au) as internal X-ray pressure standards. The Re pressure marker was employed during non-hydrostatic compression to pressures up to 310?GPa while the Au pressure marker was used during quasi-hydrostatic compression in a neon pressure-transmitting medium to 80?GPa. Two ultra-high pressure experiments were conducted on Ta and Re mixtures utilizing focused-ion beam machined toroidal diamond anvils with central flats varying from 8 microns to 16 microns in diameter. The Ta metal was observed to be stable in the body-centered-cubic phase to a volume compression V/V₀?=?0.581. The measured equations of state (EOS) of Ta using two different calibrations of the Re pressure marker are compared with the ambient temperature isotherm derived from shock compression data. We provide a detailed analysis of EOS fit parameters for Ta under quasi-hydrostatic and non-hydrostatic conditions.     

200 GPa压力范围内铝和铜的等熵压缩线计算

 将冲击Hugoniot线作为Grüneisen物态方程的参考线,以冲击的初始状态为参考状态,推导得到线性和二次曲线表示的冲击绝热线所对应的等熵压缩线方程,计算了200 GPa压力范围内铝和铜两种材料的等熵压缩线,并且计算了以Hugoniot关系为基础的Appy经验物态方程导出的等熵压缩线。计算结果表明,以Appy经验物态方程导出的等熵压缩线与以线性冲击绝热线导出的等熵压缩线接近,在200 GPa压力范围内两者相差不到1.5%。将计算得到的铝的等熵压缩线与美国Sandia实验室ICE实验Z864数据进行了比较,由线性Hugoniot得到的等熵压缩线与实验数据相差不到1%,由Appy经验物态方程得到的等熵线与实验数据几乎重合,说明在200 GPa压力范围内,以Appy物态方程和以线性Hugoniot为参考来计算的等熵压缩线有较高的精度。     

CsBr高压X光研究

 采用同步辐射X光源和能散法，对CsBr粉末样品进行高压原位X光衍射实验。由金刚石对顶压砧高压装置（DAC）产生高压，用已知状态方程的Pt粉末作内标，由Pt的衍射数据确定样品压力，最高压力达64.4 GPa。实验结果表明：室温常压下原始CsBr样品是具有简单立方结构的晶体，其晶格常数α＝0.428 5 nm。高压下CsBr的结构有所变化，在51.3~58.4 GPa的压力范围内，(110)线和(211)线发生劈裂，从而形成了四方相。     

金刚石砧高压实验中压强传递介质对实验的影响——镁铝榴石状态方程的实验测定

 采用氩气作传压介质测得的状态方程数据，在高压区，与酒精溶液作传压介质的情况极为不同。因此，对于高弹性模量材料，使用酒精溶液，不能有效地工作到超过20 GPa的范围。本文也比较了氩气压强规的使用情况。     

Evidence of a fcc-hcp transition in aluminum at multimegabar pressure

The structure phase transition and the equation of state (EOS) of the third-period simple metal Al were investigated at pressure up to 333 GPa by powder x-ray diffraction experiments. The theoretically predicted fcc-hcp transition was observed at the reduced volume V/V0 of 0.509(1), corresponding to the pressure of 217+/-10 GPa. From the obtained pressure-volume data, the pressure derivative of the bulk modulus K0' for the EOS of fcc-Al was determined to be 4.83(3) by fitting to the Vinet formulation with a fixed value 72.7 GPa of K0 obtained from previous ultrasonic experiments.     

铝的等温状态方程

 采用原位高压同步辐射X射线衍射技术,利用金刚石对顶砧（DAC）装置产生高压,选用高纯NaCl粉末作为传压介质与标压物质,在室温下、21.5 GPa的压力范围内,测定了铝的等温状态方程。利用Murnaghan方程对实验结果进行了数值拟合,得到铝的零压体弹模量及其一级压力导数分别为B₀=(77±2) GPa,B₀′=4.8±0.3。该结果同相关文献资料报导的值在误差范围内符合得很好,略显得较大,这是由于传压介质NaCl的非静水压效应所致。在实验所达到的压力范围内,未发现明显的相变迹象。