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arXiv 1704.01752cond-mat.mtrl-sci
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Heusler化合物弹性性质和稳定性的临界研究:具有$L2_{1}$结构的立方Co $_{2}YZ$化合物

A critical study of the elastic properties and stability of Heusler compounds: Cubic Co$_{2}YZ$ compounds with $L2_{1}$ structure

Shu-Chun Wu, S. Shahab Naghavi, Gerhard H. Fecher, Claudia Felser

摘要:

采用第一性原理密度泛函理论计算了各种立方Heusler化合物的弹性常数及其衍生性质。首先,以Cu $_2$ MnAl为例,解释了基本量的解释,并与实验进行了比较。工作的主要部分集中在Co $_2$基化合物上,它们是具有主族元素$M=$ ~Al、Ga、In、Si、Ge、Sn、Pb、Sb、Bi的Co $_2$ Mn $M$,和具有主族元素Si或Ge的Co $_2TM$,以及$3d$过渡金属$T=$ ~Sc、Ti、V、Cr、Mn和Fe.发现Heusler化合物的许多性质与主族元素的质量或核电荷$Z$有关。Blackman和Every的图用于比较材料的弹性性质,而Pugh和Poisson比率用于分析原子间键合和物理性质之间的关系。结果表明,\it Pugh的脆性判据需要修正,而\it Christensen的脆性判据能很好地描述Heusler化合物的韧脆转变。计算出的弹性性能暗示的金属键合与中间脆性的研究Heusler化合物。稳定化合物的普遍各向异性具有在$0.57 <A_U <2.73$范围内的值。发现具有较高$A_U$值的化合物接近过渡金属系列的中间。特别地,预测具有$A_U=0.01$的Co $_2$ ScAl是与剩余的Co $_2$基化合物相比最接近理想柯西固体的各向同性材料。除了弹性常数和模量,声速,德拜温度,和硬度的预测和讨论所研究的系统。计算得到的声波慢度面反映了化合物的各向异性程度。

英文摘要:

Elastic constants and their derived properties of various cubic Heusler compounds were calculated using first-principles density functional theory. To begin with, Cu$_2$MnAl is used as a case study to explain the interpretation of the basic quantities and compare them with experiments. The main part of the work focuses on Co$_2$-based compounds that are Co$_2$Mn$M$ with the main group elements $M=$~Al, Ga, In, Si, Ge, Sn, Pb, Sb, Bi, and Co$_2TM$ with the main group elements Si or Ge, and the $3d$ transition metals $T=$~Sc, Ti, V, Cr, Mn, and Fe. It is found that many properties of Heusler compounds correlate to the mass or nuclear charge $Z$ of the main group element. Blackman's and Every's diagrams are used to compare the elastic properties of the materials, whereas Pugh's and Poisson's ratios are used to analyze the relationship between interatomic bonding and physical properties. It is found that the {\it Pugh's criterion} on brittleness needs to be revised whereas {\it Christensen's criterion} describes the ductile--brittle transition of Heusler compounds very well. The calculated elastic properties give hint on a metallic bonding with an intermediate brittleness for the studied Heusler compounds. The universal anisotropy of the stable compounds has values in the range of $0.57 <A_U <2.73$. The compounds with higher $A_U$ values are found close to the middle of the transition metal series. In particular, Co$_2$ScAl with $A_U=0.01$ is predicted to be an isotropic material that comes closest to an ideal Cauchy solid as compared to the remaining Co$_2$-based compounds. Apart from the elastic constants and moduli, the sound velocities, Debye temperatures, and hardness are predicted and discussed for the studied systems. The calculated slowness surfaces for sound waves reflect the degree of anisotropy of the compounds.

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