Abstract
The Krebs model for bcc metals is modified (a) to remove its well known deficiency of crystal inequilibrium in a simple and consistent manner, and (b) to include the factors like inference factorG 2 and dielectric function ε(q) on the lines of recent reporting. The modified Krebs model thus developed is employed to derive the dispersion frequencies in bcc zirconium, for which the phonon energies have been measured very recently. The reasonable good agreement between the theoretical and experimental dispersion relations in β-Zr reveals the utility of the model.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
J. DeLaunay, Solid State Phys., Ed. F. Seitz and D. Turnbull Academic Press, New York, 1956.
P. K. Sharma andS. K. Joshi, J. Chem. Phys.,39, 2633, 1963.
A. B. Bhatia, Phys. Rev.,97, 363, 1955.
K. Krebs, Phys. Rev.,138, 143, 1965.
W. Cochran, Proc. Int. Conf. on Lattice Dynamics, Ed. R. F. Wallis, Pergamon, Oxford, 1965.
H. L. Kharoo, O. P. Gupta andM. P. Hemkar, Phys. Rev.,B-19, 2986, 1979.
P. K. Sharma andR. K. Awasthi, Phys. Rev.,B-19, 1963, 1979.
M. M. Shukla andH. Tejima, Acta Phys. Hung.,41, 31, 1976.
H. Closs andM. M. Shukla, Nuovo Cimento,42, 213, 1977.
V. P. Singh, H. L. Kharoo, J. Prakash andL. P. Pathak, Acta Phys. Hung.,39, 37, 1975.
M. M. Shukla andH. Closs, J. Phys. Chem. Solids,35, 123, 1974.
A. K. Singh andP. K. Sharma Cand. J. Phys.,46, 1677, 1968.
M. P. Tiwari, J. Phys.F5, L-184, 1975.
O. P. Kulshrestha andJ. C. Upadhyaya, Ind. J. Pure and Appld. Phys.,14, 253, 1976.
J. C. Upadhyaya, Phys. Rev.B18, 2961, 1978.
R. P. S. Rathore, Ind. J. Phys.,52A, 250, 1978.
S. P. Singh, R. P. S. Rathore andR. C. Rai, Ind. J. Pure and Appld. Phys.16, 893, 1978.
R. P. S. Rathore, Ind. J. Phys., (in press).
R. P. S. Rathore, Ind. J. Phys., (in press).
R. P. S. Rathore, Ind. J. Pure and Appld. Phys.,17, 370, 1979.
K. S. Singwi, A. Sjolander, M. P. Tosi andR. H. Land, Phys. Rev.,B1, 1044, 1970.
B. B. Dayal andP. L. Srivastava, Proc. Roy. Soc.A277, 183, 1964.
V. Ramamurthy andK. Neelhandan, Ind J. Pure and Appld. Phys.,15, 312, 1977.
R. P. S. Rathore andR. M. Agrawal, Phys. Stat. Solidi, (b) (in press).
R. P. S. Rathore andM. P. Verma, Ind. J. Pure and Appld. Phys.,15, 1, 1977.
R. P. S. Rathore andM. P. Verma, Ind. J. Pure and Appld. Phys.,15, 467, 1977.
C. Stassis, Rerestky andN. Wakabayashi, Phy. Rev. Lett.,41, 1726, 1978.
J. Ashkenari, M. Dacorogna, M. Peter, Y. Talmor, E. Walter andS. Steinmann,18, 4120, 1976.
A. O. E. Animlu, Phys. Rev.,B8, 1542, 1973.
B. L. Fielek, J. Phys.,F5, 17, 1975.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Rathore, R.P.S. Modified Krebs model for β-zirconium. Acta Physica 50, 29–35 (1981). https://doi.org/10.1007/BF03157955
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF03157955