THE SCATTERING OF LOW-FREQUENCY LATTICE WAVES BY STATIC IMPERFECTIONS
THE SCATTERING OF LOW-FREQUENCY LATTICE WAVES BY STATIC IMPERFECTIONS
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DOI：
10.1088/0370-1298/68/12/303
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发表时间：
1955-01-01
期刊：
影响因子：
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通讯作者：
KLEMENS, PG
中科院分区：
文献类型：
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作者：
KLEMENS, PG
用二阶微扰理论处理了静态缺陷对晶格波的散射。转移矩阵由晶格点的质量差、晶格点之间连杆的弹性常数变化和弹性应变所引起的贡献组成。点缺陷作为频率的四次方散射，位错作为第一次方，晶界与频率无关。对碱金属卤化物中的各种晶格缺陷、螺位错和刃位错以及晶界的散射截面的大小进行了估计。讨论了这些结果与低温下晶格导热的关系。
The scattering of lattice waves by static imperfections is treated by second-order perturbation theory. The transition matrix is composed of contributions due to the mass difference of lattice points, changes in the elastic constants of linkages between lattice points, and elastic strain. Point imperfections are shown to scatter as the fourth power of frequency, dislocations as the first power, and grain boundaries independently of frequency. The magnitude of the scattering cross section is estimated for a variety of lattice defects in alkali halides, for screw and edge dislocations and for grain boundaries. These results are discussed in relation to thermal conduction by the lattice at low temperatures.