Computational Analysis of Many Body Interaction (MBI) Potential in Solids

Authors

  • Dr. Alka Singh  Assistant Professor, Department of Pure and Applied Physics, Guru Ghasi Das Central University, Bilaspur, Chhatisgarh, India
  • Dr. Navin Kumar  Centre Coordinator, IGNOU Centre for Engineering, Muzaffarpur, Bihar, India

Keywords:

MBI, Computational Analysis, Crystal Structures, TBI, vdW, SR, Anti-Symmetry

Abstract

The difficulty of predicting stable crystal structures based on the knowledge of only the chemical composition has long puzzled the scientists and has been a stumbling block on the way to fully computational materials design. Many physical properties of the materials are predicated on the awareness of the interionic forces that bind the atoms together. Possibly, the principles of atomic bonding are the best illustrated by considering the interactions between two isolated atoms as they are brought into close proximity from an infinite separation. These differences cause difference in their mechanical, electrical and magnetic properties. It is due to the influence of these inter-atomic forces that the constituent particles of a crystal attain the positions corresponding to a minimum energy configuration and thus get bonded together. Present paper made elaborated study on the many body interactions in general and three body interaction in particular.

References

  1. J. Pauling and E. B. Wilson, mCDgRAW Hill, New Yourk, Sec. 477, 1935.
  2. D. C. Tayal, Himalayas, New Delhi, 1997.
  3. A. Besier, Mcgraw Hill, New York, 1995.
  4. J. E Mayer J. Chem. Phys. 1, 270, 1933.
  5. F. London, Z. Phys. Chem. B11, 222, 270, 1930; Z Phys 63 (1930) 245.
  6. C. Kittel, Willey Eastern, New Delhi, 1988.
  7. R. K. Singh, Physics Reprts (Netherlands) 85, 259,1982
  8. A. M. Stoneham, AERE R, Harwell 9598, 1979.
  9. P. Tangney and S. Scandolo, J. Chem. Phys. 117, 8898, 2002; J. Chem. Phys. 119, 18, 2003.
  10. A. Aguado. L. Bernasconi, and P. A. Madden, Chem. Phys. Lett. 356, 437, 2002.
  11. A. Laio , S. Bernard, G.L. Chiarotti, and S. Scandolo, and E. Tosatti, Science 287, 1027, 2000.
  12. F. Ercolessi and J. B. Adams, Europhys, Lett. 26, 583, 1994.
  13. J. C. Slater and J. G. Kirkwood Phys. Rev. 37, 682-697, 1931.
  14. P. O. Lowdin, Ark. Mat. Ast. Fys. 35A 30, 1947.
  15. S.O. Lundqvist, Ark, Fys. 6.25(1952); 9.35 (1955); 10. 263 (1957); 12, 263, 1957; 19, 113 (1961).
  16. R. K. Singh and M. P. B verma, Phys. Rev. B 2, 4288, 1970; J. Phys. C (Solid State Physics) 4, 2749.
  17. M.P. Verma and R. K. Singh, Phys. Stat Sol. (b) 33, 769 (1969); 36, 335 (1969); 38, 851 (1970).
  18. Sadhna Singh and R.K. Singh, J High Pressure Research, 21, 105, 2001.
  19. D.C Gupta and R.K. Singh, Phys.Rev.B, 43, 1991.
  20. R.K. Singh and D.C Gupta Ind. J Pure and App. Physics, 29, 473, 477, 1991.
  21. Jyostsna Galgale, N. K. Gaur and R. K. Singh, J. Luminsence 713-717, 2001.
  22. N. K. Gaur and Jyostsna Galgale, M. Manake and R. K. Singh J. Luminsence 755-759, 2001.
  23. W. Heitler and F. London, Z Physik. 44, 455, 1927.
  24. A. Herpi, J. Phys, Radium, 14, 611, 1953.
  25. W. Cochran, C. R. C. Crit Rev. Solid State Sci. 2, 1-44,1971.
  26. G. L. Trigg (ed.) Encyclopedia of Applied Physics (VC11, New York), 8, 1997.
  27. P.M. Chaikin, T.C. Lubensky, Cambridge University press.New Delhi. 1998.
  28. D.C.Giancoli, Prentice Hall, New Jersey,1991.
  29. M.Chanda.Tata McGraw Hill,New Delhi,1995.
  30. R.Narayan, J. Phys. Chem.Solids 38,1097-1100,1977.
  31. H.Margenau, N.Kestner,Pregeman Press.London. 1967.
  32. J. ShanKar,G.C.Agarwal and R.P. Singh, J. Chem. Phys. 69,670, 1978.
  33. M. P. Tosi, Solid State Physics, (Academic Press) 16-120,1964.
  34. M. Born and J. E. Mayer, Z Phys. Chdem. 23, 358, 1932.
  35. F. G. Fumi and M.P. Tosi, J. Phys. Chem. Solid, 23, 359 (1962).
  36. J. E. Mayor and M.L. Huggins, J. Chem. Phys. 43, 795 1965.
  37. D.W. Hatemeister , W. H. Flygare, J. Chem. Phys. 47, 14258 (1967).
  38. D.W. Hatemeister and J. D. Zahrt, J. Chem. Phys. 40, 3584 (1966).
  39. A. Einstein, Ann. Phys. 22, 180, 1907.
  40. https://en.wikipedia.org/wiki/Many-body_problem

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Published

2017-08-31

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Section

Research Articles

How to Cite

[1]
Dr. Alka Singh, Dr. Navin Kumar, " Computational Analysis of Many Body Interaction (MBI) Potential in Solids, International Journal of Scientific Research in Science and Technology(IJSRST), Online ISSN : 2395-602X, Print ISSN : 2395-6011, Volume 3, Issue 6, pp.474-479, July-August-2017.