Theory of the Thermal Conductivity of Metals, Alloys, and Semiconductors, Part II.

Item

Title
Theory of the Thermal Conductivity of Metals, Alloys, and Semiconductors, Part II.
Date
1963
Index Abstract
Coming Soon
Photo Quality
Not Needed
Report Number
ASD TDR 62-74 Part 2
Corporate Author
Borg-Warner Corporation
Laboratory
Directorate of Materials and Processes
Extent
42
Identifier
AD0297505
Access Rights
OTS
Distribution Classification
1
Contract
AF 33(616)-7374
DoD Project
7360
DoD Task
736001
DTIC Record Exists
No
Distribution Change Authority Correspondence
None
Abstract
The lattice thermal conductivity of simple alloys can be calculated by assuming that the only effects of alloying on the thermal conductivity can be represented by point defect scattering mechanisms. The scattering of phonons represented by point defects has an inverse relaxation time proportional to the fourth power of the frequency. The proportionality constant depends on the particular scattering mechanism considered. In simple substitutional alloys where one chemically similar element is substituted for another there are three scattering processes to be considered besides phonon-phonon scattering. Phonons are scattered. Phonons are scatteed by the fluctuation in mass, the change in force constants, and the lattice distortion caused by the impurity atom. The relaxation time for all these processes acting simultaneously has been derived.The relaxation time for phonon-phonon scattering due to cubic anharmonic terms in the expansion of the potential energy of the crystal in the displacements of the atoms comprising the crystal from equilibrium is proportional to the inverse frequency squared. When the relaxation time for point defect scattering is combined with that for phonon-phonon scattering to obtain an effective relaxation time one may calculate the lattice thermal conductivity as a function of alloy composition. We hav done this for the case of Ge-Si alloys and find reasonable agreement with experiment.The possibility of modifying the theory with the aid of ideas from nonequilibrium statistical mechanics is considered.
Report Availability
Full text available
Date Issued
1963-01
Provenance
Lockheed Martin Missiles & Fire Control
Type
report
Format
1 online resource
Creator
Madigan, John R.
Media
ASDTDR62-074part02.pdf

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