Calculation of some variational bound results for lattice thermal conductivity of Ge
- 21 December 1975
- journal article
- Published by IOP Publishing in Journal of Physics C: Solid State Physics
- Vol. 8 (24) , 4147-4156
- https://doi.org/10.1088/0022-3719/8/24/008
Abstract
The author used a displaced Planck's distribution function as a variational one-parameter trial function to calculate some complementary bound results for the lattice thermal conductivity of Ge. An improved lower bound due to Benin (1970) is shown to be higher than the lowest bound (due to Ziman 1960) by 1.4% at 300K to 3% at 900K. Also, an upper bound due to Jensen, Smith and Wilkins (1969) is shown to be lower than its value in 'zeroth approximation' by 2.5% at 300K to 3.5% at 900K.Keywords
This publication has 18 references indexed in Scilit:
- Theory of lattice thermal conductivityJournal of Physics C: Solid State Physics, 1973
- Thermal Conductivity of Complex Dielectric CrystalsPhysical Review B, 1973
- Improved Variational Principles for Transport CoefficientsPhysical Review B, 1970
- Upper and Lower Bounds on Transport Coefficients Arising from a Linearized Boltzmann EquationPhysical Review B, 1969
- Variational Calculation of the Thermal Conductivity of GermaniumPhysical Review B, 1969
- Complementary Variational Principles and Their Application to Neutron Transport ProblemsJournal of Mathematical Physics, 1967
- Solution of the Linearized Phonon Boltzmann EquationPhysical Review B, 1966
- Thermal Conductivity and Lattice Vibrational ModesPublished by Elsevier ,1958
- Thermal Conductivity of Potassium Chloride Crystals Containing CalciumPhysical Review B, 1957
- The Scattering of Low-Frequency Lattice Waves by Static ImperfectionsProceedings of the Physical Society. Section A, 1955