Study of phonon−phonon interaction and electron−lattice interaction in alkali metals
Second− and third−order elastic constants have been used to evaluate the ultrasonic attenuation suffered by longitudinal waves propagating along 〈100〉 and 〈110〉 directions and by shear waves polarized along 〈100〉 and 〈11̄0〉 directions for lithium, sodium, potassium, rubidium, and cesium, through the...
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Veröffentlicht in: | Journal of applied physics 1975-02, Vol.46 (2), p.506-509 |
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Hauptverfasser: | , |
Format: | Artikel |
Sprache: | eng |
Online-Zugang: | Volltext |
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Zusammenfassung: | Second− and third−order elastic constants have been used to evaluate the ultrasonic attenuation suffered by longitudinal waves propagating along 〈100〉 and 〈110〉 directions and by shear waves polarized along 〈100〉 and 〈11̄0〉 directions for lithium, sodium, potassium, rubidium, and cesium, through the Grüneisen constant 〈γ〉, the average square Grüneisen constant 〈γ2〉, and the nonlinearity constant D, due to phonon viscosity (Akhieser loss) and thermoelastic phenomena at 300 °K. The Akhieser loss is found to be the dominating one. In metals, both electrons and phonons carry thermal energy, but in equilibrating the phonon temperature only the thermal energy carried by phonons comes into play. Hence all the evaluations except the thermoelastic loss have been made by separating the lattice conductivity from the electronic conductivity. Phonon viscosity and both types of dislocation drag coefficients (screw and edge) are also discussed. Moreover, the low−temperature ultrasonic attenuation due to electron−lattice interaction in lithium, sodium, and rubidium has been evaluated theoretically. |
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ISSN: | 0021-8979 1089-7550 |
DOI: | 10.1063/1.321673 |