Lattice Dynamics of Silicon

Authors

  • Nutan Kumari Department of Physics, L.S. College, Muzaffarpur, Bihar-842001, India
  • Sunil Kumar Mishra Department of Physics, L.S. College, Muzaffarpur, Bihar-842001, India

DOI:

https://doi.org/10.48165/

Keywords:

Extended valence force field (EVFF) model, phonon distribution function, Debye characteristic temperature, phenomenological models

Abstract

A phenomenological lattice dynamical model has been developed for the zinc-blende  and diamond structure crystals. The model developed in the present work is an  extended valence force field (EVFF) model which takes into account the short range  valence force field interaction between bonded atoms and central interaction between  non-bonded atoms. The model also incorporates the long-range coulombic interaction  for zinc-blende crystals which are partially ionic in bonding. EVFF model is applied to  lattice vibration of silicon to obtain the phonon dispersion curves, elastic constants,  bulk modulus, Debye characteristic temperatures and phonon distribution function  for silicon. The theoretical values are compared with the experimental results with  satisfactory agreement.

References

Giannozzi, P. and de Gironcoli, S. (1991). Phys. Rev. B43, 7231

Giannozzi, P. and de Gironcoli, S. (1991).

Wei, S. and Chou, M. Y. (1994).

Phys. Rev. B50, 2221

S. Shields, J. A. and Wolfe, J. P. (1991). Phys. Rev.B44, 3001

Tamura, S. Shields, J. A. and Wolfe, J. P.

Yin, M. T. and Cohen, M. L. (1982). Phys. Rev. B26, 3259 4. Yin, M. T. and Cohen, M. L. (1982).

Fleszar, A. and Resta, R. (1986).

Phys. Rev. B34, 7140

Tripathi, B. B. and Gupta, H. C. (1973). J. Phys. Chem. Solids. 34, 1867

Bose, G. Tripathi, B. B. and Gupta, H. C. (1973).

, ed. Seitz, F. and Turnbull, D. (Academic Press Inc, New

Solid State physics, ed. Seitz, F. and Turnbull, D. (Academic Press Inc, New

De Launay, J. (1956). Solid State physics

York). 2, 276

Gazis, D. C. and Wallis, R. F. (1964). Phys. Rev. 134A, 1486

Clark, B. C. Gazis, D. C. and Wallis, R. F. (1964).

Zdetsis, A. D. and Wang, C. S. (1979). Phys. Rev. B19, 2999

Zdetsis, A. D. and Wang, C. S. (1979).

Born, M. and Von Karman, T. (1912). Physik, Z13, 297

Born, M. and Von Karman, T. (1912).

Zhao, H. and Freund, J. B. (2005). J. Appl. Phys. 97, 024903

Zhao, H. and Freund, J. B. (2005).

Powell, D. Migliorato, M. A. and Cullis, A. G. (2006). Physica. E32, 270

Powell, D. Migliorato, M. A. and

Jakata, K. and Every, A. G. (2008). Phys. Rev. B77, 174301

Jakata, K. and Every, A. G. (2008).

Maranganti, R. and Sharma, P. (2007). Phys. Rev. Letters. 98, 195504

Maranganti, R. and Sharma, P. (2007).

Phys. 101, 093513

Passler, R. (2007) Jour. of Appl. Phys

.15, 13705

Wang, H.Y. Cao, J. Huang, X. Y. and Huang, J. M. (2012). Cond. Matt. Phys.15, 13705

Wang, H.Y. Cao, J. Huang, X. Y. and Huang, J. M. (2012).

Kumari, N. and Mishra, S. K. (2015). Res. Jour. of Phys. Sci. 3(5), 1

Kumari, N. and Mishra, S. K. (2015).

Urey, H. C. and Bradley, C. A. (1931). Phys. Rev. 38, 1969

Urey, H. C. and Bradley, C. A. (1931).

Wilson (Jr), E. B. Decius, J. C. and Cross, P. C. (1955). Molecular Vibrations, (McGraw Hill Book Company, Inc, New York), p.54

Singh, T. N. and Roy, B. N. (1976). Journ. Sci. Rev. B H U, XXVI, 1

Dolling, G. Inelastic scattering of neutrons in solids and liquids, (IAEA, Vienna), 2 (1963) 37, 1(1965)249.

Palevsky, H. Hughes, D. J. Kley, W. and Tunkelo, E. (1959). Phy. Rev. Lett. 2, 258 23. Parker, J. H. Feldman, D. W. and Askin, M. (1967). Phys. Rev. 155, 712

Angress, J. F. Goodwin, A. R. and Smith, S. D. (1968) Proc. Roy. Soc. (London). A308, 111 25. Balkanski and Nazarewicz (1964). Lattice Dynamics, ed Wallis, R. F. (Pergamon Press,New York), p.345.

Temple, P. A. and Hathaway, C. E. (1973). Phy. Rev.B7, 3685

Singh, A. and Dayal, B. (1970). Journ. Phys. C, Solid State Phys. 3, 2037

Solbring, A. K. and Dayal, B. (1970). Phys. Stat. Solidi, 38, 141

Tubino, R. Piseri, L. andZerbi, G. (1972). J. Chem. Phys. 56, 1022,

Soma, T. andMarita, A. (1972). Journ. Phys. Soc. Japan, 32, 38

Sokel, R. and Harrison, W. A. (1976). Phys. Rev. Letters. 36(61), 212

Saha, M. N. and Srivastava, B. N.(1958) in “A Treatise on Heat”,p.875

Flubacher, P. Lead better, A. J. and Morrison, J. A. (1959) Phil. Mag. 4, 273

Baraff, G. A. Kane, E. O. and Schluter, M. (1980). Phy. Rev. B21, 5662

Chadi, D. J. and Martin, R. M. (1976). Soli. Stat. Comm. 19, 643

Published

2019-06-12

How to Cite

Lattice Dynamics of Silicon . (2019). Bulletin of Pure and Applied Sciences – Physics, 38(1), 13–21. https://doi.org/10.48165/