Abstract
The phonon dispersion curves, phonon frequency distribution function as well as the lattice specific heat of body-centred tetragonal indium have been deduced using a lattice dynamical model which includes central, angular and volume forces. Six elastic constants, four zone boundary frequencies and an equilibrium condition were used in the evaluation of the force constants. It is shown that this model is elastically consistent and satisfies the symmetry requirements of the lattice, the phonon frequencies of indium deduced from it are in very good agreement with the experimental values of Reichardt and Smith and the theoretical values of Garrett and Swihart, and theθ D values compare well with the experimental values over a wide temperature range. The apparent discrepancies in the phonon dispersion curves and theθ D-T curves obtained from deficient models, importance of umklapp processes and the significance of angular forces in the lattice dynamical models are discussed.
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References
Ashokkumar 1973Non-Central interactions in metals, Ph.D. Thesis Indian Institute of Technology, Delhi p. 70
Ashokkumar and Sharan B 1972J. Phys. C5 3161
Ashokkumar, Neelakandan K and Sharan B 1973Physica 63 626
Begbie G H and Born M 1946Proc. R. Soc. (London) A188 179
Bryant C A and Keesom P H 1961Phys. Rev. 123 491
Chandrasekhar B S and Rayne J A 1961Phys. Rev. 124 1011
Clark B C, Gazis D C and Wallis R F 1964Phys. Rev. 134 A1486
Clement J R and Quinnell E H 1953Phys. Rev. 92 258
Clusius K and Schachinger L 1952Z. Angew. Phys. 4 442
Dayal B and Sharan B 1960Proc. R. Soc. (London) A259 361
Dayal B and Sharan B 1961Proc. R. Soc. (London) A262 136
Dewames, R E and Lehman G W 1964Phys. Rev. 135 A170
Dewames R E, Wolfram T and Lehman G W 1965Phys. Rev. 138 A717
Garrett D G and Swihart J C 1976J. Phys. F6 1781
Gupta R P and Dayal B 1966Phys. Status Solidi 13 519
Joardar P and Chakraborty S 1979Indian J. Pure Appl. Phys. 17 794
Lehman G W, Wolfram T and Dewames R E 1965Lattice dynamics (New York: Pergamon Press), p. 101
Metzbower E A 1967Phys. Status Solidi 20 681
Metzbower E A 1968Phys. Status Solidi 25 403
Ramamurthy V 1979Pramana 13 373
Ramamurthy V 1982Phys. Status Solidi B112 463
Ramamurthy V and Neelakandan K 1978Indian J. Phys. 52A 34
Ramamurthy V and Singh K K 1978Phys. Status Solidi B85 761
Ramamurthy V and Rajendraprasad S B 1981J. Phys. F11 2275
Ramamurthy V and Rajendraprasad S B 1982Can. J. Phys. 60 (in press)
Reissland J A and Ese O 1975J. Phys. F5 110
Sham L J 1965Proc. R. Soc. (London) A283 33
Sharan B and Bajpai R P 1969J. Phys. Soc. Jpn. 26 1359
Sharan B and Bajpai R P 1970Indian J. Pure Appl. Phys. 8 331
Sharan B, Ashokkumar and Neelakandan K 1972Sol. State Commun. 11 1223
Sharan B and Ashokkumar 1973Phys. Rev. B7 1362
Shaw R W 1968Phys. Rev. 174 769
Slutsky L J and Livingston A 1960J. Chem. Phys. 32 1093
Vashishta P and Singwi K S 1972Phys. Rev. B6 875
Winder D R and Smith C S 1958J. Phys. Chem. Solids 4 128
Wolfram T, Lehman G W and Dewames R E 1963Phys. Rev. 129 2483
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Ramamurthy, V., Rajendraprasad, S.B. Lattice dynamical study of body-centred tetragonal indium. Pramana - J. Phys. 19, 435–448 (1982). https://doi.org/10.1007/BF02847377
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DOI: https://doi.org/10.1007/BF02847377