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The Vibrational Spectrum and Specific Heat of a Face-Centered Cubic Crystal
Rev. Mod. Phys. 20, 165 – Published 1 January, 1948
DOI: https://doi.org/10.1103/RevModPhys.20.165
Abstract
The frequency spectrum of a face-centered cubic crystal lattice is found by actually modeling the constant-frequency surfaces of the secular determinant in plaster of Paris and measuring the volume enclosed between successive surfaces. The frequency spectrum so obtained is used in the evaluation of the specific heat of a general crystal of the type treated, and numerical values are presented for the element silver. The present theory (that of Born and v. Karman) is in much better agreement with experimental values for temperatures below 100°K than is the Debye theory. Certain anomalies in the specific heat curves of silver and potassium chloride at temperatures below 10°K are not explicable in terms of the atomic model that is used.
References (12)
- W. H. Keesom and C. W. Clark, Physica 2, 698 (1935)
- P. Debye, Ann. d. Physik 39, 789 (1912)
- M. Born and T. von Karman, Physik. Zeits. 13, 297 (1912) ibid.14, 15 (1913)
- M. Blackman, Proc. Roy. Soc. 148, 384 (1935) ibid.159, 416 (1937) Proc. Camb. Phil. Soc. 33, 94 (1937)
- P. C. Fine, Phys. Rev. 55, 355 (1939)
- E. W. Montroll, J. Chem. Phys. 10, 218 (1942) ibid.11, 481 (1943) ibid.12, 98 (1944)
- L. Brillouin, Wave Propagation in Periodic Structures (McGraw-Hill Book Company, Inc., New York, 1946)
- K. Fuchs, Proc. Roy. Soc. 153A, 622 (1936)
- A. Eucken, Verh. deut. physik. Ges. 15, 571 (1913)
- Landolt-Bornstein, Physicalish—Chemische Tabellen (Julius Springer, Verlag, Berlin, 1927), fifth edition
- H. B. Dwight, Tables of Integrals and Other Mathematical Data (The Macmillan Company, New York, 1934)
- A. Eucken, K. Clusius, and H. Woitinek, Zeits. f. anorg. Chem. 203, 47 (1931)