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Bulletin of Pure and Applied Sciences- Physics (Started in 1982)
eISSN: 2320-3218
pISSN: 0970-6569
Impact Factor: 5.195 (2017)
DOI: 10.5958/2320-3218
Editor-in-Chief:  Prof. Madan jee,
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Article Details

Bulletin of Pure and Applied Sciences- Physics (Started in 1982)
Year : 2019, Volume & Issue : BPAS-Physics 38D(1), JAN-JUN 2019
Page No. : 13-21, Article Type : Original Aticle
Article DOI : 10.5958/2320-3218.2019.00003.4 (Received on 12.03.2019 Accepted on 20.04.2019)

Lattice Dynamics of Silicon

Nutan Kumari, Sunil Kumar Mishra*
Author’s Affiliation : 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

Corresponding Author : Sunil Kumar Mishra, Department of Physics, L.S. College, Muzaffarpur, Bihar-842001, India,
E-Mail:-[email protected]


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.

Keywords

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