密排六方晶体面间距的计算

Calculation of Interplanar Spacing in Hexagonal Close-Packed Crystal

摘要: 基于解析几何基本原理，提议用添加原子的“位置因子S”作为计算晶面间距的工具。使用“位置因子S”，算得密排六方晶体六种可能的面间距，并得到实例验证。分析了晶面间距与结构因子的相关性，并讨论了附加面与消光面的关系。

Abstract: Based on a principle of analytic geometry, a “site-factor S” of an addition atom was suggested to take as a tool for calculating interplanar spacing. With the “site factor S”, the interplanar spacing of hexagonal close-packed crystal was calculated and confirmed by some examples, and the result showed that it has 6 kinds of possible interplanar spacing. The correlativity between the interplanar spacing and the structure-factor were analysed, and relation between the additional plane and the missing reflection plane was discussed.