Abstract
Phonon dispersion, binding energy, compressibility and elastic constants of alkali-metals have been studied using a modified form of the Ashcroft potential and self-consistent form of electron screening due to Singwi et al. The proposed potential successfully reproduces the phonon spectra and other properties of all the five metals except for the crossover between Δ1 and Δ5 branches for lithium —which may be attributed to the very small amplitude of the form factors atq=2k F. An improvement corresponding to this effect could reproduce Kohnanomaly and the crossover simultaneously.
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Phillips J. C., Kleinman L., Phys. Rev.116 (1959), 287.
Sham L. J., Proc. Roy. Soc. (London)A 283 (1965), 33.
Vosko S. H., Taylor R., Keech G., Can. J. Phys.43 (1965), 1187.
Animalu A. O. E., Bonsignori F., Bortolani V., Il Nuovo Cimento44B (1966), 159.
Harrison W. A., Pseudopotentials in the Theory of Metals, W. A. Benjamin, Inc., New York 1966.
Schneider T., Stoll E., Phys. Kondensierten Materie5 (1966), 331.
Ho P. S., Phys. Rev.169 (1968), 523.
Ashcroft N. W., J. Phys.C 1 (1968), 232.
Wallace D. C., Phys. Rev.176 (1968), 832;178 (1969), 900.
Bortolani V., Pizzichini G., Phys. Rev. Lett.22 (1969), 840.
Prakash S., Joshi S. K., Phys. Rev.185 (1969), 913;187 (1969), 808.
Price D. L., Singwi K. S., Tosi M. P., Phys. Rev.B 2 (1970), 2983.
Gupta R. P., Solid State Commun.8 (1970), 991.
Kushwaha S. S., Rajput J. S., Phys. Rev.B 2 (1970), 3943.
Gupta H. C., Tripathi B. B., J. Chem. Phys.54 (1971), 435.
Gupta H. C., Tripathi B. B., Indian J. Pure Appl. Phys.9 (1971), 781.
Kachhava C. M., Phys. Status Solidi (b)54 (1972), K 29.
Kachhava C. M., J. Phys.F 3 (1973), 571.
Ono M., J. Phys. Soc. Japan34 (1973), 26.
Nand S., Tripathi B. B., Gupta H. C., Phys. Lett.54A (1975), 217.
Hafner J., J. Phys.F 5 (1975), L 150.
Hafner J., Z. PhysikB 24 (1976), 41.
Cutler P. H., Day R., King W. F., J. Phys. F: Metal Phys.5 (1975), 1801.
Day R. S., Sun F., Cutler P. H., King W. F., J. Phys.F 6 (1976), L 1;F 6 (1976), L 137.
Dagens L., Rasolt M., Taylor R., Phys. Rev.B 11 (1975), 2726.
Lindgren I., Int. J. Quantum Chem.S 5 (1971), 411.
Kachhava C. M., Phys. Status Solidi (b)52 (1972), 547.
Ashcroft N. W., Phys. Lett.23 (1966), 48.
Singwi K. S., Tosi M. P., Land R. H., Sjölander A., Phys. Rev.176 (1968), 589.
Kellerman E. W., Phil. Trans. Roy. Soc. (London)A 238 (1940), 513.
Kachhava C. M.,Sharma K. S., being published in J. Phys.F.
Beg M. M., Nielsen M., Phys. Rev.B 14 (1976), 4266.
Woods A. D. B., Brockhouse B. N., March N., Steward A. T., Bowers R., Phys. Rev.128 (1962), 1112.
Cowley R. A., Woods A. D. B., Dolling G., Phys. Rev.150 (1966) 487.
Copley J. R. D., Brockhouse B. N., Chen S. H., Neutron Inelastic Scattering (IAEA Vienna 1968), Vol. I, p. 209.
Kittel C., Introduction to Solid State Physics, John Wiley, Inc., New York 1971, p. 150.
Gutman E. J., Trivisonno J., J. Phys. Chem. Solids28 (1967), 805.
Huntington H. B., The Elastic Constants of Crystals, Academic Press, Inc., New York 1958, p. 76.
Smith H. G., Dolling G., Nicklow R. M., Vijayaraghavan P. R., Wilkinson M. K., Neutron Inelastic Scattering (IAEA Vienna 1968), Vol. I, p. 149.
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A preliminary report of this work as applied to Na has appeared in Solid State Communications30 (1979), 749.
On leave from:Maharani Shri Jaya College, Bharatpur-321 001.
The authors express their deep sense of gratitude in Prof. T. Toya, Hokkaido University for continual encouragement and thankfully acknowledge the departmental facilities extended by Dr. M. P. Saksena, Head of the Department. One of the authors (K.S.S.) also thanks U.G.C. for providing him a teacher-fellowship.
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Sharma, K.S., Kachhava, C.M. Linear potential and phonons in alkali-metals. Czech J Phys 30, 531–540 (1980). https://doi.org/10.1007/BF01596302
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DOI: https://doi.org/10.1007/BF01596302