Superspherical-shape approximation to describe the morphology of small crystalline particles having near-polyhedral shapes with round edges
Superspherical-shape approximation to describe the morphology of small crystalline particles having near-polyhedral shapes with round edges
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DOI：
10.1007/s10910-011-9909-1
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发表时间：
2011
影响因子：
1.7
通讯作者：
T. Miyazawa;Munehiro Aratake;S. Onaka
中科院分区：
文献类型：
--
作者：
T. Miyazawa;Munehiro Aratake;S. Onaka
通常形成包含具有圆形边缘的近多面体形状的小晶体颗粒。当分析和讨论近多面体形状时，如果这些形状可以用具有简单参数的方程来表示，则是方便的。超球体是表示多面体和球体之间的各种形状的固体。在这项研究中使用的超球形近似考虑立方晶体结构颗粒的形态。由{100}、{111}和{110}面组成的各种近多面体形状用一个简单的方程和三个形状相关的参数来描述。结果表明，超球形近似是一个有用的几何工具，用于评估小晶粒的形态。
Small crystalline particles are often formed comprising near-polyhedral shapes with round edges. When near-polyhedral shapes are analyzed and discussed, it is convenient if these shapes can be expressed by equations with simple parameters. Superspheres are solids expressing various shapes between those of polyhedra and spheres. The superspherical-shape approximation is used in this study to consider the morphology of cubic crystal structure particles. Various near-polyhedral shapes composed of {100}, {111} and {110} planes are described using a simple equation with three shape-related parameters. It is shown that the superspherical-shape approximation is a useful geometrical tool for evaluating the morphology of small crystalline particles.