The Scattering of Low-Frequency Lattice Waves by Static Imperfections
Abstract
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.
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The introduction of strain and disruption of the local crystallographic arrangement due to dopant atoms contributes to scattering.
“The introduction of strain and disruption of the local crystallographic arrangement due to dopant atoms contributes to scattering of the form [12,48]”
From Mean Free Path Effects on the Experimentally Measured Thermal Conductivity of Single-Crystal Silicon Microbridges (2013) · cites this paper as [48]
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- Authors
- Klemens, P. G.
- Affiliations
- Commonwealth Scientific and Industrial Research Organisation (AU)
- Corresponding author
- Klemens, P G
- Venue
- Proceedings of the Physical Society. Section A
- Publisher
- IOP Publishing
- Published
- 1955-12-01
- Volume
- 68
- Issue
- 12
- Pages
- 1113-1128
- ISSN
- 0370-1298 (ISSN-L)
- OpenAlex
- W2036217842
- Cited by
- 1,457
- References
- 0
- Citations by year
- 2026: 61 · 2025: 77 · 2024: 49 · 2023: 68 · 2022: 70 · 2021: 64 · 2020: 66 · 2019: 62 · 2018: 85 · 2017: 57 · 2016: 52 · 2015: 42 · 2014: 49 · 2013: 30 · 2012: 40
- FWCI
- 16.04
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Proceedings of the Physical Society Section A (publishedVersion)
- Topics
- Physical Sciences › Materials Science › Materials Chemistry › Thermal properties of materials
- Physical Sciences › Materials Science › Materials Chemistry › Thermal Expansion and Ionic Conductivity
- Physical Sciences › Engineering › Mechanics of Materials › Thermoelastic and Magnetoelastic Phenomena
- Keywords
- phonon scattering, crystal defects, dislocations, grain boundaries, elastic strain, elastic constants, mass difference, scattering cross section, alkali halides, heat conduction, low-frequency phonons, second-order perturbation theory
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