Vibrations of two-dimensional disordered lattices

Vibrations of two-dimensional disordered lattices
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二维无序晶格的振动

DOI:
10.1098/rspa.1965.0007
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发表时间:
1965
期刊:
Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
影响因子:
--
通讯作者:
M. D. Bacon
M. D. Bacon
中科院分区:
--
文献类型:
--
作者:
P. Dean;M. D. Bacon

文献摘要

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给出了二组分无序简单二次晶格和蜂窝晶格的振动谱。这些光谱结构复杂,包含许多与轻原子团簇在主要重原子局部环境中的局部振动相关的峰。本文推广了Rosenstock和麦吉尔(1962)关于具有最近邻相互作用的一维链的位移本征函数序的一个定理。
Vibrational spectra are presented for the two-component disordered simple quadratic and honeycomb lattices. These spectra are complex in structure, containing numerous peaks associated with the localized vibrations of clusters of light atoms in predominantly heavy atom local environments. A theorem of Rosenstock & McGill (1962), on the ordering of the displacement eigenfunctions for one-dimensional chains with nearest-neighbour interactions, is generalized.