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Elastic moduli and brittleness of diamondlike and zinc blende structured solids

机译:类金刚石和锌混合结构固体的弹性模量和脆性

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摘要

In this paper, semiempirical formulae for both bulk modulus (B in GPa) and shear modulus (C in GPa) of diamondlike and zinc blende (A~NB~(8-N)) covalent solids are elaborated in terms of nearest neighbour distance (d in A), covalent fraction (f_c) and product of ionic charges (Z_aZ_c) of the bonding. The resulting expressions can be applied to a broad selection of covalent materials and their modulus predictions are in good agreement with the experimental data and those from ab initio calculations. Furthermore, the correlation between the ratio G/B and the aforementioned bonding parameters was investigated. The analysis of this relationship demonstrates that compared to the nearest neighbour distance (d in A), covalent fraction (f_c) and product of ionic charges (Z_aZ_c) are predominant parameters responsible for the brittle features of covalent materials.
机译:本文以最近邻距离(A〜NB〜(8-N))共价体的形式阐述了类金刚石和锌共混物(A〜NB〜(8-N))的体积模量(GPa中的B)和剪切模量(GPa中的C)的半经验公式。 A)中的d,键的共价分数(f_c)和离子电荷的乘积(Z_aZ_c)。所得的表达式可以应用于多种共价材料,并且它们的模量预测与实验数据以及从头算得到的模量预测非常吻合。此外,研究了比率G / B与前述键合参数之间的相关性。对这种关系的分析表明,与最近邻距离(A中的d)相比,共价分数(f_c)和离子电荷乘积(Z_aZ_c)是造成共价材料脆性特征的主要参数。

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