高温QCD的耦合常数和退禁闭相变

用有限温度场论中重整化群方法,研究了QCD的有效耦合常数的温度依赖性,发现高温时耦合常数在全动量区都很小,体现出了QCD的退禁闭特征.     

固态氩弹性性质的量子力学从头计算

本文从量子力学第一性原理出发,用平面波赝势 (PWP)结合广义梯度近似(GGA)密度泛函理论方法,计算了零温下固态氩晶体0～82 GPa压力范围内的弹性性质,体系电子-离子相互作用采用硬赝势描述.计算结果与静高压实验数据良好相符,通过计算表明采取合理的方法和计算参数,惰性气体固态晶体高压下的力学性质可以比较准确地计算出来,这可为实验上难于进行研究的物质提供有意义的参考.     

AlB2弹性常数的第一性原理计算

利用基于局域密度近似框架下的第一原理平面波赝势方法,结合HGH型相对论分析赝势,对AlB2的晶格参数和弹性常数进行了计算.结果显示:当晶格参数c和a的比率c/a为1.084时,具有最稳定的几何结构,与实验值及其他理论得到的计算值相符合.     

具有六方晶系结构的多晶体材料弹性常数——Y弹性常数

利用最近提出的新的物理参量——Ｙ弹性常数,将其应用于具有六方晶系结构的多晶体材料.推导了六方晶系结构的多晶体材料之Ｙ弹性常数,通过算例与具有六方晶系结构的多晶体材料之X射线弹性常数进行了比较.运用这个Ｙ弹性常数进一步推导出的多晶体材料整体之机械弹性常数的表达式与Kneer的研究结果中的表达式虽然形式不同,但针对具体材料所计算的结果却完全符合.关键词：Y弹性常数六方晶系多晶体材料     

铀的弹性、能带结构和光学常数的第一性原理计算

采用密度泛函理论,赝势平面波方法计算了金属铀a相的晶体结构,弹性常数,体模量,电子能带结构和光学常数(折射率n和消光系数k)等.其中,铀的晶格参数,弹性常数和体模量等与实验及其它第一性原理计算结果十分吻合.计算得到了铀的光学常数,与实验结果作了对比并进行了分析说明.     

关于岩石三阶弹性常数的超声测量方法

油气储层岩石的三阶弹性常数反映了该岩石的速度应力敏感性,是利用声波测井或地震资料进行原位地应力反演的基本参数。本文阐述了利用声弹性理论在实验室测量岩石三阶弹性常数的原理与方法,并给出了部分实验结果。这些参数将为研究声波在预应力声场中传播规律的提供基础数据,同时也为定量分析利用交叉偶极声波测井评价地应力的精度提供了依据。不同岩石的三阶弹性常数较大差异表明,通过速度各向异性进行应力反演时必须考虑岩石本身非线性的差异。     

具有立方晶系结构的多晶体材料的弹性常数——Y弹性常数

提出了一个新的物理参量“Ｙ弹性常数”,并阐述了其物理含义.并将其应用于具有立方晶系结构的多晶体材料,推导了立方晶系结构的多晶体材料的Ｙ弹性常数,通过算例与具有立方晶系结构的多晶体材料的X射线弹性常数进行了比较.运用这个Ｙ弹性常数进一步推导出的多晶体材料整体的机械弹性常数的表达式与Krner的研究结果完全符合.关键词：Y弹性常数立方晶系多晶体材料     

超导体MgB2弹性常数的第一原理计算

利用全势线性muffin-tin轨道(FP-LMTO)方法, 结合在密度泛函理论框架下的广义梯度近似, 研究了六角密堆积结构超导体MgB2的晶格参数, 弹性常数, 以及体积模量及其对压强的微分. 计算结果显示当晶格参数c和a的比率c/a大约为1.138时, MgB2的结构最稳定.本文所得到的计算结果与实验值及其他作者利用不同方法得到的计算值相符合.     

晶体弹性常数的数值计算方法

本文讨论了从实验测得的声速和声衰减值计算晶体弹性常数的方法与计算程序。晶体弹性常数可以利用克利斯托费尔(Christoffel)方程,通过下降法解非线性方程组的方法求得,我们根据这一思想用FORTRAN语言写出了计算程序,并对部分晶系晶体的弹性常数作了计算。利用本文的方法还可以计算晶体的粘滞常数。     

α-, β-和γ-Si3N4 高压下的电子结构和相变: 第一性原理研究

本文采用第一性原理框架下的赝势平面波方法结合振动类德拜模型研究了α,β和γ-Si₃N₄在高温下的点阵常数,弹性常数和弹性模量.研究发现三种同质异相体的体模量都很高.β-Si₃N₄在低温下表现出脆性,在高温下则表现出延展性.γ-Si₃N₄在低温和高温下都是脆性的共价化合物.β → γ 相变的相界斜率为正值,说明在较高温度时合成γ-Si₃N₄所需的压强也较高.α → γ 相变的相界可以表示成 P=16.29- 1.835-10^-2 T+9.33945-10^-5T²-2.16759-10^-7T³+2.91795-10^-10T⁴.本文还分析了Si₃N₄同质异相体在高压下的态密度和能带.在α-Si₃N₄中主要是Si-s, p和N-s,p的轨道杂化对晶体的稳定性起作用.α和β-Si₃N₄都具有Γ_V-Γ_C类型的间接带隙(分别是4.9~eV和4.4~eV)而γ-Si₃N₄具有直接带隙(3.9~eV). 研究还发现α-Si₃N₄和β-Si₃N₄的价带顶分别沿着Γ-M和Γ-A方向.本文的计算结果和已有的实验数据是一致的.     

高压下NbN结构和电子性质的第一性原理计算

摘要：利用密度泛函理论平面波赝势方法研究了NbN五种结构,即NaCl结构(Fm-3m); CsCl结构 (Pm-3m); ZB结构(F4-3m); 六角δ结构(P63/mmc) and ε (P-6m2)结构。本文对NbN五种结构的机械稳定性,弹性性质和高压下的电子结构等都进行了详细的研究。在NbN的五种晶体结构中,我们发现六角结构NbN要比立方结构稳定,这与实验结果相一致。我们还计算了NbN各种结构的晶格常数、体模量,弹性模量以及弹性各向异性等,结果与已有的理论和实验相吻合。同时发现在290GPa左右,NaCl结构转化为CsCl结构。为了更加深入的研究NbN的高压性能,我们研究了NbN的电子性质,结果发现NbN的不同结构具有金属性,并且在高压下原子间的杂化增强。     

First-principles study of the structural,mechanical and electronic properties of ZnX2O4（X=Al,Cr and Ga）

This paper performs first-principles calculations to study the structural,mechanical and electronic properties of the spinels ZnAl2O4 ,ZnGa2O4 and ZnCr2O4 ,using density functional theory with the plane-wave pseudopotential method. Our calculations are in good agreement with previous theoretical calculations and the available experimental data. The studies in this paper focus on the evolution of the mechanical properties of ZnAl2O4 ,ZnGa2O4 and ZnCr2O4 under hydrostatic pressure. The results show that the cubic phases of ZnAl2O4 ,ZnGa2O4 and ZnCr2O4 become unstable at about 50 GPa,40 GPa and 25 GPa,respectively. From analysis of the band structure of the three compounds at equilibrium volume,it obtains a direct band gap of 4.35 eV for ZnAl2O4 and 0.89 eV for ZnCr2O4 ,while ZnGa2O4 has an indirect band gap of 2.73 eV.     

First-principles study of the structural,mechanical and electronic properties of ZnX204 （X=Al,Cr and Ga）

This paper performs first-principles calculations to study the structural, mechanical and electronic properties of the spinels ZnA1204, ZnGa2O4 and ZnCr2O4, using density functional theory with the plane-wave pseudopotential method. Our calculations are in good agreement with previous theoretical calculations and the available experimental data. The studies in this paper focus on the evolution of the mechanical properties of ZnAl2O4, ZnGa2O4 and ZnCr2O4 under hydrostatic pressure. The results show that the cubic phases of ZnAl2O4, ZnCa2O4 and ZnCr2O4 become unstable at about 50 GPa, 40 GPa and 25 GPa, respectively. From analysis of the band structure of the three compounds at equilibrium volume, it obtains a direct band gap of 4.35 eV for ZnA1204 and 0.89 cV for ZnCr2O4, while ZnGa2O4 has an indirect band gap of 2.73 eV.     

高压下NbN结构和电子性质的第一性原理计算

利用密度泛函理论平面波赝势方法研究了NbN五种结构,即NaCl结构(Fm-3m); CsCl结构 (Pm-3m); ZB结构(F4-3m); 六角δ结构(P63/mmc) and ε (P-6m2)结构。本文对NbN五种结构的机械稳定性,弹性性质和高压下的电子结构等都进行了详细的研究。在NbN的五种晶体结构中,我们发现六角结构NbN要比立方结构稳定,这与实验结果相一致。我们还计算了NbN各种结构的晶格常数、体模量,弹性模量以及弹性各向异性等,结果与已有的理论和实验相吻合。同时发现在290GPa左右,NaCl结构转化为CsCl结构。为了更加深入的研究NbN的高压性能,我们研究了NbN的电子性质,结果发现NbN的不同结构具有金属性,并且在高压下原子间的杂化增强。     

mechanical and thermodynamic properties of α-and β-Si3N4 ceramics： ab initio and quasi-harmonic Debye modeling

The plane-wave pseudo-potential method within the framework of ab initio technique is used to investigate the structural and elastic properties of α-and β-Si3N4. The ground-state parameters accord quite well with the experimental data. Our calculation reveals that α-Si3N4 can retain its stability to at least 40 GPa when compressed at 300 K. The α → β phase transformation would not occur in a pressure range of 0-40 （3Pa and a temperature range of 0 300 K. Actually, the α → β transition occurs at 1600 K and 7.98 GPa. For α-and β-Si3N4, the c axes are slightly more incompressible than the a axes. We conclude that β-Si3N4 is a hard material and ductile in nature. On the other hand, β-Si3N4 is also found to be an ionic material and can retain its mechanical stability in a pressure range of 0 - 010 GPa. Besides, the thermodynamic properties such as entropy, heat capacity, and Debye temperature of α-and β-Si3N4 are determined at various temperatures and pressures. Significant features in these properties are observed at high temperature. The calculated results are in good agreement with available experimental data and previous theoretical values. Many fundamental solid-state properties are reported at high pressure and high temperature. Therefore, our results may provide useful information for theoretical and experimental investigations of the Si3N4 polymorphs.     

Predictions of pressure-induced structural transition,mechanical and thermodynamic properties of α-and β-Si₃N₄ ceramics:ab initio and quasi-harmonic Debye modeling

The plane-wave pseudo-potential method within the framework of ab initio technique is used to investigate the structural and elastic properties of α-and β-Si3N4.The ground-state parameters accord quite well with the experimental data.Our calculation reveals that α-Si3N4 can retain its stability to at least 40 GPa when compressed at 300 K.The α→β phase transformation would not occur in a pressure range of 0-40 GPa and a temperature range of 0-300 K.Actually,the α→β transition occurs at 1600 K and 7.98 GPa.For α-and β-Si3N4,the c axes are slightly more incompressible than the a axes.We conclude that β-Si3N4 is a hard material and ductile in nature.On the other hand,β-Si3N4 is also found to be an ionic material and can retain its mechanical stability in a pressure range of 0-10 GPa.Besides,the thermodynamic properties such as entropy,heat capacity,and Debye temperature of α-and β-Si3N4 are determined at various temperatures and pressures.Significant features in these properties are observed at high temperature.The calculated results are in good agreement with available experimental data and previous theoretical values.Many fundamental solid-state properties are reported at high pressure and high temperature.Therefore,our results may provide useful information for theoretical and experimental investigations of the Si3N4 polymorphs.