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Phonon Heat Conductivity of Garnets Containing Rare Earth Ions

100%
Bahuguna B., Painuli C., Indu B.
Acta Physica Polonica A
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1991
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vol. 80
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issue 4
527-543
EN
The phonon frequency line widths related to the phonon relaxation times is evaluated for impurity, anharmonic and interference scattering processes using double time temperature dependent Green's function method. The effects of force constant changes at impurity site and interference mode (new vibrational mode) on lattice thermal conductivity are the new features of the work. A few comments are made on the additivity of inverse relaxation times. The theory have been utilized to analyse the lattice thermal conductivity of ten synthetic aluminum garnets containing trivalent rare earth ions using Callaway's formula. The calculations show excellent agreements between theory and experiments.
2
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Lattice Thermal Conductivity of GaAs

100%
Ataullah Ansari M., Ashokan V., Indu B., Kumar R.
Acta Physica Polonica A
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2012
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vol. 121
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issue 3
639-646
EN
A new approach to evaluate the relaxation times of various collision events responsible for thermal transport has been reported through which various deficiencies of earlier models of lattice thermal conductivity have been resolved. These investigations involve the evaluation of the phonon Green functions via a non-perturbative approach. The new expressions of relaxation times expressions for scattering of phonons by boundaries, atomic impurities, phonon-phonon scattering, electron-phonon scattering are the new features of the theory. The lattice thermal conductivity of three samples of GaAs has been analyzed on the basis of modified Callaway model and fairly good agreement between theory and experimental observations has been reported.
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