On the stability of crystal lattices. II

On the stability of crystal lattices. II
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关于晶格的稳定性。

DOI:
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发表时间:
1940
影响因子:
0.8
通讯作者:
G. Urgessa
G. Urgessa
中科院分区:
数学2区
文献类型:
--
作者:
D. Bondok;H. Salim;G. Urgessa

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On the assumption that the potential energy of the three cubic lattices of the Bravais type consists of two terms, an attractive one proportional to r−m and a repulsive one proportional to r−n, n > m, stability conditions are expressed in the form that two functions of the number n should be monotonically increasing. These functions have been calculated numerically for n = 4 to 15, and are represented as curves with the abscissa n. The result is that the face-centred lattice is completely stable, that the body-centred lattice is unstable for large exponents in the law of force, and that the simple lattice is always unstable,—in complete agreement with the results of Part I.