DOI: 10.1017/s0305004100032771. The absorption of very high frequency sound in dielectric solids

The absorption of very high frequency sound in dielectric solids

10.1017/s0305004100032771

Crossref journal-article

Cambridge University Press (CUP)

Mathematical Proceedings of the Cambridge Philosophical Society (56)

Abstract

ABSTRACTA theoretical treatment is given of the absorption of longitudinally polarized sound in dielectric crystals of high symmetry, due to interaction with the thermal phonous. The Q value for the absorption is calculated in terms of the deviation from Hooke's law, the result being applicable at low temperatures when the mean free path of the phonons is greater than the wavelength of the acoustic wave. The theory is applied to cubic crystals, and in particular to solid argon, where a minimum Q value of about 108–109 is calculated. It is suggested that measurement of the absorption (at present somewhat beyond experimental techniques) would supply information on the deviation from linear elasticity, as well as providing a satisfactory verification of the basic interaction theory. The effect of isotopes, and, in more complicated structures, of optic modes, is shown to be negligible.

Bibliography

Simons, S. (1957). The absorption of very high frequency sound in dielectric solids. Mathematical Proceedings of the Cambridge Philosophical Society, 53(3), 702â716.

Authors 1

S. Simons (first)

References 17 Referenced 32

10.1017/S0305004100017138
{'key': 'S0305004100032771_ref015', 'first-page': '1457', 'volume': '7', 'author': 'Slonimsky', 'year': '1937', 'journal-title': 'J. Exp. Theor. Phys.'} / J. Exp. Theor. Phys. by Slonimsky (1937)
10.1103/PhysRev.53.90
10.1088/0370-1298/68/12/303
{'key': 'S0305004100032771_ref012', 'volume-title': 'A treatise on the mathematical theory of elasticity', 'author': 'Love', 'year': '1952'} / A treatise on the mathematical theory of elasticity by Love (1952)
{'key': 'S0305004100032771_ref017', 'volume-title': 'Elasticity and anelaaticity of metals', 'author': 'Zener', 'year': '1948'} / Elasticity and anelaaticity of metals by Zener (1948)
{'key': 'S0305004100032771_ref001', 'first-page': '277', 'volume': '1', 'author': 'Akhieser', 'year': '1939', 'journal-title': 'J. Phys.'} / J. Phys. by Akhieser (1939)
10.1080/00018735300101192
10.1098/rspa.1956.0181
10.1107/S0365110X53000909
{'key': 'S0305004100032771_ref011', 'first-page': '18', 'volume': '11', 'author': 'Landau', 'year': '1937', 'journal-title': 'Phys. Z. Sowjet.'} / Phys. Z. Sowjet. by Landau (1937)
10.1103/PhysRev.95.954
{'key': 'S0305004100032771_ref009', 'first-page': '73', 'volume-title': 'Tables of functions', 'author': 'Jahnke', 'year': '1945'} / Tables of functions by Jahnke (1945)
10.1080/14786441008521120
10.1002/andp.19293950803
{'key': 'S0305004100032771_ref006', 'first-page': '648', 'volume-title': 'Encykl. Math. Wiss', 'volume': '3', 'author': 'Born'} / Encykl. Math. Wiss by Born
{'key': 'S0305004100032771_ref014', 'volume-title': 'Quantum theory of solids', 'author': 'Peierls', 'year': '1955'} / Quantum theory of solids by Peierls (1955)

Dates

Type	When
Created	16 years, 9 months ago (Nov. 7, 2008, 5:47 a.m.)
Deposited	6 years, 2 months ago (June 6, 2019, 8:43 p.m.)
Indexed	1 year, 5 months ago (March 8, 2024, 5:04 p.m.)
Issued	68 years, 2 months ago (July 1, 1957)
Published	68 years, 2 months ago (July 1, 1957)
Published Online	16 years, 10 months ago (Oct. 24, 2008)
Published Print	68 years, 2 months ago (July 1, 1957)

Funders 0

None

BibTeX

@article{Simons_1957, title={The absorption of very high frequency sound in dielectric solids}, volume={53}, ISSN={1469-8064}, url={http://dx.doi.org/10.1017/s0305004100032771}, DOI={10.1017/s0305004100032771}, number={3}, journal={Mathematical Proceedings of the Cambridge Philosophical Society}, publisher={Cambridge University Press (CUP)}, author={Simons, S.}, year={1957}, month=jul, pages={702–716} }

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