International E-publication: Publish Projects, Dissertation, Theses, Books, Souvenir, Conference Proceeding with ISBN.  International E-Bulletin: Information/News regarding: Academics and Research

Lattice Dynamics of Diamond

    ,

Author Affiliations

  • 1 Department of Physics, L. S. College, Muzaffarpur, INDIA

Res. J. Physical Sci., Volume 3, Issue (5), Pages 1-5, July,4 (2015)

Abstract

A phenomenological model has been developed for zinc blende structure and diamond structure crystals. Both types of crystals are covalent and tetrahedrally bonded. The model developed in the present work is an extended valence force field model which takes into account the short-range valence force interactions between bonded atoms and central interaction between non-bonded atoms. The model also incorporates the long-range coulombic interaction for zinc-blende structure crystal which are partially ionic in bonding. The extended valence force model has been applied to lattice vibration of diamond to obtain the theoretical values of phonon dispersion curves along three principal symmetry directions and Debye characteristic temperatures at different temperatures. The calculated results are compared with the available experimental values with satisfactory agreement.

References

  1. Pandey B.P. and Dayal B., Lattice Dynamics of Silicon and Diamond, J. Phys. C: Solid State Phys., 6, 2943 (1973)
  2. Singh A. and Dayal B., The Evaluation of Elastic Constants of MgSn and MgSi by an Angular Force Model, J. Phys. C: Solid State Phys., 3, 2037 (1970)
  3. Patel C., Sherman W.F., Slark G. and Wilkinson G.R., Lattice Dynamics of In As under Hydrostatic Pressures, J. Mol. Struct., 115, 149 (1984)
  4. Bashenov V.K., Marvakov D.I. and Petukhov A.G., Lattice Dynamics of Diamond-Type Crystals from Keating’s Valence-Force Field, Phys. Stat. Solidi (b), 88, K161 (1978)
  5. Mounet Nicolas and Marzari Nicola,First-principles Determination of the Structural, Vibrational and Thermodynamic Properties of Diamond, Graphite and Derivatives, Physical Review,B71, 205214 (2005)
  6. Santiago-Perez D.G., de Leon-Perez F. and Perez-Alvarez R., Force Constants and Dispersion Relations for the Zincblende and Diamond Structures Revisited, Revista Mexicana De Fisica,52 (2), 163-171 (2006)
  7. Dixit Peeyush and Mishra S.K., Lattice Dynamics of III-V Compounds of Semiconducting Crystals (GaP-InP), Research Journal of Material Sciences, 1(6), 6-11, July (2013)
  8. Bodo Bhaskarjyoti and Kalita P.K., Structural and Optical Properties of ZnS: Cu Transparent Nanosheets, Research Journal of Physical Sciences,1(1), 2-5, (2013)
  9. Shukla Arun and Jat K.L., The Role of Lattice Displacement on Brillouin Polarization in Magnetized n-InSb Crystal, Research Journal of Physical Sciences, 1(3),21-25, (2013)
  10. Madu, Chinyere Ada, Electronic and Structural Properties of the Silicon and Germanium Carbides, Research Journal of Physical Sciences, 2(4), 1-5, (2014)
  11. Urey H.C. and Bradley C.A., The Vibrations of Pentatomic Tetrahedral Molecules, Phys. Rev., 38, 1969 (1931)
  12. Wilson (Jr.) E.B., Decius J.C. and Cross P.C., in Molecular Vibrations, published by McGraw Hill Book Company, Inc. New York, 54 (1955)
  13. Singh T.N. and Roy B.N., Non-Central Force-Model for Sphalerite ZnS, J. Sc. Rev., B.H.U., XXVI(1&2), 1 (1975-1976) (1976)
  14. Warren J. L., Conf. of Intersection of Neutron with Condensed Matter (Brock haven) BNL940 (C-45) page 88
  15. Robertson R., Fox J.J. and Martin A.E., Philo. Trans. R. Soc. (London), A232, 463 (1934)
  16. Smith S.D. and Hardy J.R., Activation of Single Phonon Infra-red Lattice Absorption in Neutron Irradiated Diamond, Phil. Mag., , 1311 (1960)
  17. Solin S. A. and Ramdas A. K., Raman Spectrum of Diamond, Phys. Rev., B1, 1687 (1970)
  18. Born M. and Karman T. Von, Vibrations in Space Gratings (Molecular Frequencies), Physik, Z., 13, 297 (1912)
  19. Saha M.N. and Srivastava B.N., in “A Treatise on Heat”, 875 (1958)
  20. Pitzer K.S., The Heat Capacity of Diamond from 70 to 300K, J. Chem. Phys., 6, 68 (1938)