Lattice vibrational spectrum of germanium
Lattice vibrational spectrum of germanium
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锗的晶格振动光谱
DOI：
10.1016/0022-3697(59)90376-2
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发表时间：
1959
期刊：
影响因子：
--
通讯作者：
F. Herman
中科院分区：
文献类型：
--
作者：
F. Herman
晶体动力学的Born-von Karman理论已被应用于金刚石结构，并且已经导出了涉及每个原子与其第一到第六阶邻居之间的相互作用的最一般的力系统。宏观弹性常数和选定晶格振动模式的频率用21个独立参数表示，结果表明，沿[100]和[111]轴的实验弹性常数和晶格频率沿着不能拟合于仅基于一般1°和2°近邻相互作用的力模型。增加一般的3°和4°近邻相互作用并不能改善这种情况，但进一步增加5°（和更高阶）近邻相互作用可以改善这种情况。通过仅使用一般的1°-5°相互作用，可以获得物理上合理的力模型，该力模型在实验误差范围内拟合所考虑的所有数据。讨论了Gili力模型的性质和局限性.
The Born-von Karman theory of crystal dynamics has been applied to the diamond structure, and the most general force system involving interactions between each atom and its first through sixth order neighbors has been derived. The macroscopic elastic constants and the frequencies of selected lattice vibrational modes have been expressed in terms of the 21 independent parameters entering into this force system.It will be shown that the experimental elastic constants and lattice frequencies along the [100] and [111] axes cannot be fitted to force models based only on general 1° and 2° neighbor interactions. The addition of general 3° and 4° neighbor interactions does not improve the situation, but the further addition of 5° (and higher order) neighbor interactions does. It is possible to obtain physically plausible force models which fit all the data considered within experimental error by the use of onlv general 1° throueh 5° interactions. The nature and the limitations of the derived force models Gili be discussed.