On the Calculation of Certain Crystal Potential Constants, and on the Cubic Crystal of Least Potential Energy
On the Calculation of Certain Crystal Potential Constants, and on the Cubic Crystal of Least Potential Energy
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某些晶体势能常数的计算及最小势能立方晶体
DOI：
10.1098/rspa.1925.0047
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发表时间：
1925
期刊：
影响因子：
--
通讯作者：
A. E. Ingham
中科院分区：
文献类型：
--
作者：
Janet E. Jones;A. E. Ingham
对晶体物理性质的数学研究通常是根据其势能进行的，如果不知道这个函数的显式项，就不可能应用所得到的一般公式。当然，计算势能需要了解晶体中原子间的相互作用力，但是，即使有了这些信息，势能的计算也会带来另一个问题，这个问题没有普遍的解决办法。本文旨在提供某些必要的步骤来阐明后一个问题，在立方晶体的情况下，当原子之间的力的定律被表示为一系列距离的倒数幂时，可能是力可能被表示的最一般形式。
Mathematical investigations of the physical properties of a crystal usually proceed in term s of its potential energy, and applications of the general formulae obtained are impossible without a knowledge in explicit term s of this function. Its evaluation requires, of course, a knowledge of the interatomic forces in the crystal, but, even when this information is available, the calculation of the potential energy presents a further problem, for which there is no general solution. The present paper is designed to supply certain necessary steps in the elucidation of the latter problem in the case of the cubic crystals, when the law of force between atom s is expressed as a series of inverse powers of the distance—probably the most general form in which the force is ever likely to be expressed.