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    基于MATLAB的通用晶面间夹角公式的推导与求解

    Derivation and Solution of General Formula Solving the Angle between Two Crystal Planes of Arbitrary Crystal Systems Based on MATLAB

    • 摘要: 充分利用倒易点阵基矢与正点阵基矢互为倒易的特点, 推导出通用晶面间夹角的求解公式。同时利用MATLAB语言的核心——矩阵与数值计算编制了求解通用晶面间夹角的程序。并介绍了如何利用该程序求解任意类型晶体的各晶面间夹角,再对程序求解的晶体的晶面间夹角进行了验证,证明该程序在晶体学研究中有较好的应用价值。

       

      Abstract: Make full use of the reciprocal lattice basis vectors and punctuality array vector mutually reciprocal characteristics, the general solution formula of crystal plane angle was deduced, and by means of core matrix and numerical calculation of MATLAB language, the general crystal plane angle program was solved, and how to use the program to solve the crystal plane angle of arbitrary type crystals was introduced, then the procedure of solving crystal plane angle was verified, it is shown that the program have good application value in crystallographic studies.

       

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