Abstract
A phenomenological model which combines the axially symmetric ion-ion interaction with the electron-ion interaction scheme of Bhatia has been successfully used to calculate the phonon dispersion curves of bcc Ba. In particular, when the elastic constants determined by Mizukiet al are used as input data, the model successfully reproduces the anomalous feature of the dispersion curves measured by them. On the other hand, when the elastic constants determined by Buchenauet al are used, the model produces a cross over of the longitudinal and transverse branches in the [100] direction, a feature not established in their measurements. Thus the features of the dispersion curves in the [100] direction which is due to the hybridization of thes andd states are evident in the measured elastic constants and are consistent with the values of C12-C44.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Animalu A O E 1967Phys. Rev. 161 445
Bhatia A B 1955Phys. Rev. 97 363
Bose G, Gupta H O and Tripathi B B 1972J. Phys. F2 426
Buchenau U, Heiroth M, Schober H R, Evers J and Oehlinger G 1984Phys. Rev. B30 3502
Filek B L 1978J. Phys. F8 577
Gupta H C, Reddy G S, Gupta V B and Tripathi B B 1986Phys. Rev. B33 5839
Gupta O P and Hemkar M P 1978aNuovo Cimento 45 255
Gupta O P and Hemkar M P 1978bPhysica B94 319
Khanna R N and Rathore R P S 1979Nuovo Cimento B54 171
Lehman G W, Wolfram T and Dewames R E 1962Phys. Rev. 128 1593
Mizuki J, Chen Y, Ho K M and Stassis C 1985Phys. Rev. B32 666
Moriarty J A 1972Phys. Rev. B6 4445
Moriarty J A 1973Phys. Rev. B8 1338
Moriarty J A 1977Phys. Rev. B16 2537
Moriarty J A 1982Phys. Rev. B26 1754
Moriarty J A 1983Phys. Rev. B28 4818
Oli B A 1988Microscopic theory of the phonon frequencies in bcc barium, IC/88/322 IAEA, Trieste
Rai R C and Hemkar M P 1977Phys. Status Solidi B79 289
Ramamurthy V and Satishkumar M 1984Pramana — J. Phys. 23 751
Rathore R P S and Verma M P 1977Indian J. Pure Appl. Phys. 15 1
Sharan B, Ashok Kumar and Neelakandan K 1973J. Phys. F3 1308
Sharma K S 1981Phys. Status Solidi B108 K101
Sharma P K and Awasthi O N 1979Phys. Rev. B19 1963
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Arua, A.E., Hussain, L.A. A phenomenological approach for the phonon dispersion curves of barium. Pramana - J Phys 36, 595–601 (1991). https://doi.org/10.1007/BF02845797
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF02845797