理论研究VTiTaNbAlx高熵合金的结构与弹性力学性质

实验已证明VTiTaNbAlx高熵合金(HEAs)为单相固溶体,它采用了体心立方结构. 在这篇文章中,我们使用基于密度泛函理论的饼模轨道(EMTO)结合相干势近似(CPA)方法,计算并分析了此高熵合金体系的平衡体性质,弹性常数及多晶弹性模量. 结果表明：此系列高熵合金符合单相高熵合金的理论判据,具有较好的内在塑性,等摩尔比的VTiTaNb高熵合金趋于弹性各向同性. 随着Al含量的增加,此系列高熵合金的弹性各向异性趋于增大,但对多晶弹性模量几乎没有影响;同时讨论了基于弹性常数计算的德拜温度.     

L12型铝合金的结构、弹性和电子性质的第一性原理研究

运用第一性原理方法研究了L12型铝合金相Al3Sc和Al3Zr的晶体结构、电子结构和弹性.结合能和形成能的计算表明,两种合金具有较强的合金化能力,且Al3Zr较Al3Sc具有更强的结构稳定性.电子结构分析表明,费米能级以下较多的价电子数决定了Al3Zr具有较强的结构稳定性.计算并分析比较了两种合金相的单晶弹性常数(C11,C12和C44)以及多晶弹性模量(体弹性模量B、剪切模量G、杨氏模量Y、泊松比ν和各向异性因子A).通过对比实验和其他理论计算结果,进一步分析和解释了两种合金相的力学性质.     

MgCu4Sn型稀土镁合金相力学和热力学性质的第一性原理研究

采用基于密度泛函理论的第一性原理计算方法,系统研究了典型立方结构合金相LaMgX4(X=Co, Ni, Cu)的力学特性和热力学特性。根据广义胡可定律计算了合金相的单晶弹性常数;根据单晶弹性常数和Hershey’s averaging方法计算了合金相的多晶弹性模量、泊松比、Zener各向异性因子和德拜温度。采用基于准谐近似的Gibbs2代码计算了LaMgX4(X=Co, Ni, Cu)合金相的吉布斯自由能、熵和等体热容与温度的关系。LaMgNi4的计算结果与其他文献计算结果及实验结果符合的很好。结果表明：LaMgX4 (X= Co, Ni, Cu)合金均为延展性、塑性和弹性各向异性材料。德拜温度按以下顺序递减：LaMgNi4>LaMgCu4>LaMgCo4。     

Al元素含量对高熵合金Al_xFeTiCrZnCu力学性能的影响

采用第一性原理密度泛函理论,结合平面波赝势和广义梯度近似(GGA),用虚拟晶体近似(VCA)的方法建立高熵合金的固溶结构模型,计算了高熵合金Al_xFeTiCrZnCu的结构性能、弹性性能和生成热.计算结果表明,Al_xFeTiCrZnCu高熵合金的密度随着Al元素含量的增加而减小,晶格常数在Al元素摩尔含量为1时最小. Al元素含量的增加能提高高熵合金Al_xFeTiCrZnCu的力学稳定性.基态总能量和生成热都随着Al元素含量的增加而增加,但是合金系的稳定性和热力学稳定性有所下降.     

外部压力下β相奥克托金晶体弹性性质变化的第一性原理研究

基于密度泛函理论,采用投影缀加波方法对不同压力条件下β相奥克托金(β-HMX)的弹性常数进行了计算.计算得到零压条件下β-HMX的体弹性模量为12.7 GPa,剪变模量为4.4 GPa,与实验测量结果接近.对β-HMX弹性常数压力响应的分析表明,随着外部压力增加,晶体的体弹性模量和剪变模量逐渐增加.当外部压力达到7 GPa时晶格开始沿剪应变方向出现不稳定性,与拉曼散射实验结果相符.     

高压下TiC的弹性、电子结构及热力学性质的第一性原理计算

利用基于密度泛函理论的第一性原理平面波赝势方法 并结合准谐徳拜模型研究了NaCl结构的TiC在高压下的弹性性质、电子结构和热力学性质. 计算所得零温零压下的晶格常数、体弹模量及弹性常数与实验值符合得很好. 零温下弹性常数和弹性模量随压强增大而增大. 通过态密度和电荷密度的分析, Ti-C键随压强增大而增强. 运用准谐德拜模型, 成功计算了TiC在高温高压下的体弹模量、熵、热膨胀系数、徳拜温度、 Grüneisen参数和比热容. 结果表明压强对体弹模量、热膨胀系数和徳拜温度的影响大于温度对其的影响. 热容随着压强升高而减小, 在高温高压下, 热容接近Dulong-Petit极限.     

L12型铝合金的结构、弹性和电子性质的第一性原理研究

运用第一性原理方法研究了L1₂型铝合金相Al₃Sc和Al₃Zr的晶体结构、电子结构和弹性.结合能和形成能的计算表明,两种合金具有较强的合金化能力,且Al₃Zr较Al₃Sc具有更强的结构稳定性.电子结构分析表明,费米能级以下较多的价电子数决定了Al₃Zr具有较强的结构稳定性.计算并分析比较了两种合金相的单晶弹性常数（C₁₁,C₁₂和C₄₄）以及多晶弹性模量（体弹性模量B、剪切模量G、杨氏模量Y、泊松比ν和各向异性因子A）.通过对比实验和其他理论计算结果,进一步分析和解释了两种合金相的力学性质. 关键词： 铝合金 第一性原理 结构和电子性质 弹性     

系列CoMnZnZ四元Heusler化合物的结构和半金属铁磁性

通过第一原理计算理论预测了CoMnZnZ (Z=Si, Ge, Sn, Pb)系列Heusler合金的弹性常数、电子结构和磁性,并根据弹性常数计算得到弹性模量等参量,计算了该系列化合物声速和德拜温度.计算采用全势线性缀加平面波方法,交换相关函数采用基于Perdew-Burke-Ernzerhof的广义梯度近似泛函.弹性模量结果表明晶体呈现韧性特征;承受剪切的性能弱于承受单轴压缩的性能;结构组成具有较低的各向异性性能.电子结构的计算显示CoMnZnZ (Z=Si, Ge, Sn)三个化合物属于半金属铁磁体,但是CoMnZnPb化合物并不显示半金属特性. CoMnZnZ (Z=Si, Ge, Sn)三个化合物的磁矩通过Slater-Pauling法则进行计算得到的量值与第一原理计算得到的完全一致,遵从总的价电子数减去28的Slater-Pauling法则,三个化合物磁矩为整数且自旋极化率为100%.利用轨道杂化理论解释了此系列化合物半金属性的根源.     

第一性原理研究Ir的热力学和弹性性质

基于准谐近似理论,运用第一性原理投影缀加波方法研究了Ir的热力学和弹性性质,得到Ir的声子谱、状态方程、热容、熵、焓和线膨胀系数,以及弹性常数、弹性模量、剪切模量和杨氏模量随温度的变化关系.结果表明,计算的Ir声子谱和有限的实验测量结果一致;考虑电子对体系自由能贡献后计算的热容、熵、焓和线膨胀系数与实验值符合较好;在2600 K时,Ir的电子定压热容占总定压热容的17％,因此在高温时电子对Ir定压热容的贡献是不能忽略的;理论预测的Ir室温下的弹性常数、弹性模量、剪切模量、杨氏模量和实验值测量值基本吻合,并随温度的增加而逐渐减小.     

第一性原理研究Ir的热力学和弹性性质

基于准谐近似理论,运用第一性原理投影缀加波方法研究了Ir的热力学和弹性性质,得到Ir的声子谱、状态方程、热容、熵、焓和线膨胀系数,以及弹性常数、弹性模量、剪切模量和杨氏模量随温度的变化关系. 结果表明,计算的Ir声子谱和有限的实验测量结果一致;考虑电子对体系自由能贡献后计算的热容、熵、焓和线膨胀系数与实验值符合较好;在2600K时,Ir的电子定压热容占总定压热容的17%,因此在高温时电子对Ir定压热容的贡献是不能忽略的;理论预测的Ir室温下的弹性常数、弹性模量、剪切模量、杨氏模量和实验值测量值基本吻合,并随温度的增加而逐渐减小.     

A first-principles study on the structural,elastic and electronic properties of AlCSc3 and AlNSc3

We present an ab initio study of the structural, elastic and electronic properties of the antiperovskite compounds AlCSc₃ and AlNSc₃. The calculated lattice parameters and equilibrium volumes are in good agreement with the available experimental data. Single-crystal elastic constants were calculated and the polycrystalline elastic moduli were estimated according to Voigt, Reuss and Hill’s approximations. The band structure shows a metallic character of both compounds; strong hybridization between Sc d–C p (or N p) and Sc d–Al p states was observed from the partial density of states. A significant charge transfer from Al to C (or N) atoms was observed. Moreover, these compounds are bonded by a mixture of ionic–covalent bonding.     

First-principles studies of effects of interstitial boron and carbon on the structural,elastic, and electronic properties of Ni solution and Ni_3Al intermetallics

The effects of boron and carbon on the structural, elastic, and electronic properties of both Ni solution and Ni_3Al intermetallics are investigated using first-principles calculations. The results agree well with theoretical and experimental data from previous studies and are analyzed based on the density of states and charge density. It is found that both boron and carbon are inclined to occupy the Ni-rich interstices in Ni_3Al, which gives rise to a cubic interstitial phase. In addition,the interstitial boron and carbon have different effects on the elastic moduli of Ni and Ni_3Al. The calculation results for the G/B and Poisson's ratios further demonstrate that interstitial boron and carbon can both reduce the brittleness of Ni, thereby increasing its ductility. Meanwhile, boron can also enhance the ductility of the Ni_3Al while carbon hardly has an effect on its brittleness or ductility.     

Ab initio study of structural,elastic, and high-pressure properties of rubidium halides RbX (X = F,Cl, Br and I)

We present first-principle calculations on the structural, elastic, and high-pressure properties of rubidium halides compounds, using the pseudo-potential plane-waves approach based on density functional theory, within the generalized gradient approximation. Results are given for lattice constant, bulk modulus and its pressure derivative. The pressure transition at which these compounds undergo structural phase transition from NaCl-type to CsCl-type structure are calculated and compared with previous calculations and available experimental data. The elastic constants and their pressure dependence are calculated using the static finite strain technique. We derived the bulk and shear moduli, Young's modulus and Poisson's ratio for ideal polycrystalline RbF, RbCl, RbBr, and RbI aggregates. We estimated the Debye temperature of these compounds from the average sound velocity.     

Effects of pressure on structural,electronic, and mechanical properties of α,β,and γ uranium

The first-principles methods have been employed to calculate the structural, electronic, and mechanical properties of the α, β, and γ phases of uranium under pressure up to 100 GPa. The electronic structure has been viewed in forms of density of states and band structure. The mechanical stability of metal U in the α, β, and γ phases have been examined.The independent elastic constants, polycrystalline elastic moduli, as well as Poisson's ratio have been obtained. Upon compression, the elastic constants, elastic moduli, elastic wave velocities, and Debye temperature of α phase are enhanced pronouncedly. The value of B/G illustrates that α and γ phases are brittle in ground state.     

Structural and mechanical stability of rare-earth diborides

Structural and mechanical properties of several rare-earth diborides were systematically investigated by first principles calculations. Specifically, we studied XB2 , where X=Sm, Eu, Gd, Tb, Dy, Ho, Er, Tm, and Lu in the hexagonal AlB2 , ReB2 , and orthorhombic OsB2 -type structures. The lattice parameters, bulk modulus, bond distances, second order elastic constants, and related polycrystalline elastic moduli (e.g., shear modulus, Young’s modulus, Poisson’s ratio, Debye temperature, sound velocities) were calculated. Our results indicate that these compounds are mechanically stable in the considered structures, and according to "Chen’s method", the predicted Vickers hardness shows that they are hard materials in AlB2 - and OsB2 -type structures.     

Structural,elastic and electronic properties of XNCa3 (X = Ge,Sn and Pb) compounds

Using ab initio calculations, we have studied the structural, elastic and electronic properties of XNCa₃, with X=Ge, Sn and Pb. Geometrical optimization of the unit cell are in agreement with the available experimental data. The band structures show that all studied materials are electrical conductors. The analysis of the site and momentum projected densities, charge transfer and total valence charge density shows that the chemical bonding in XNCa₃ compounds is of covalent–ionic nature with the presence of metallic character. The elastic constants and their pressure dependence are calculated using the static finite strain technique. We derived the bulk, shear and Young’s moduli for ideal polycrystalline XNCa₃ aggregates. By analysing the ratio between the bulk and shear moduli, we conclude that XNCa₃ compounds are brittle in nature. We estimated the Debye temperature of XNCa₃ from the average sound velocity.     

First-principles predictions of anisotropies in elasticity and sound velocities of CsCl-type refractory intermetallics: TiTM,ZrTM and HfTM (TM = Fe,Ru, Os)

ABSTRACT

Structural properties, elastic properties, sound velocities and Debye temperatures of CsCl-type refractory TiTM, ZrTM and HfTM (TM?=?Fe, Ru, Os) intermetallics were investigated using first-principles calculations. The calculated equilibrium lattice parameters are coincided with the reported experimental and theoretical data. Based on single-crystal elastic constants, polycrystalline elastic moduli, Poisson’s ratios, sound velocities and Debye temperatures were evaluated. Anisotropies in elastic moduli of these CsCl-type intermetallics were discussed by elastic anisotropy indexes, three-dimensional surface constructions and their projections, and directional elastic modulus. The results showed that ZrFe has the highest elastic anisotropy and ZrOs presents the lowest one. Finally, sound velocities, Debye temperatures and their anisotropies were also calculated and discussed.