Pramana

, Volume 79, Issue 2, pp 327–335 | Cite as

Electronic structure and equilibrium properties of hcp titanium and zirconium

Article

Abstract

The electronic structures of hexagonal-close-packed divalent titanium (3-d) and zirconium (4-d) transition metals are studied by using a non-local model potential method. From the present calculation of energy bands, Fermi energy, density of states and the electronic heat capacity of these two metals are determined and compared with the existing results in the literature.

Keywords

Electronic structure titanium and zirconium model potential calculation 

PACS Nos

71.20.–b 71.15.Dx 

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References

  1. [1]
    S L Altmann and C J Bradley, Proc. Phys. Soc. London 92, 764 (1967)ADSCrossRefGoogle Scholar
  2. [2]
    E H Hygh and Roland M Welch, Phys. Rev . B1, 2424 (1970)ADSGoogle Scholar
  3. [3]
    R M Welch and E H Hygh, Phys. Rev . B4, 4261 (1971)ADSGoogle Scholar
  4. [4]
    R M Welch and E H Hygh, Phys. Rev . B9, 1993 (1974)ADSGoogle Scholar
  5. [5]
    T L Loucks, Phys. Rev . 159, 544 (1967)ADSCrossRefGoogle Scholar
  6. [6]
    O Jepson, Phys. Rev . B12, 2988 (1975)ADSGoogle Scholar
  7. [7]
    O Jepson, O Krogh Anderson and A R Mackintosh, Phys. Rev . B12, 3084 (1975)ADSGoogle Scholar
  8. [8]
    I Bakoyni, H Ebert and A I Liechtenstein, Phys. Rev . B48, 7841 (1993)ADSGoogle Scholar
  9. [9]
    Y K Vohra, S K Sikka and R Chidambaram, J. Phys. F: Metal Phys. 9, 1771 (1979)ADSCrossRefGoogle Scholar
  10. [10]
    Zhi-Wei Lu, David Singh and Henry Krakaur, Phys. Rev . B36, 7335 (1987)ADSGoogle Scholar
  11. [11]
    P Blaha, K Schwarz and P H Dederichs, Phys. Rev . B38, 9368 (1988)ADSGoogle Scholar
  12. [12]
    W A Harrison, Pseudopotential in theory of metals (W.A. Benjamin Inc, Reading, Massachusetts, 1966)Google Scholar
  13. [13]
    V Heine, Solid State Phys. 24, 1 (1970)CrossRefGoogle Scholar
  14. [14]
    M H Cohen and V Heine, Solid State Phys. 24, 37 (1970)CrossRefGoogle Scholar
  15. [15]
    B K Acharya and N C Mohapatra, Pramana – J. Phys. 43, 391 (1994)ADSCrossRefGoogle Scholar
  16. [16]
    B P Panda and N C Mohapatra, Pramana – J. Phys. 58, 91 (2002)ADSCrossRefGoogle Scholar
  17. [17]
    B P Panda and N C Mohapatra, Pramana – J. Phys. 61, 1151 (2003)ADSCrossRefGoogle Scholar
  18. [18]
    B P Panda and N C Mohapatra, Physica B344, 108 (2004)ADSGoogle Scholar
  19. [19]
    S L Altmann and C J Bradley, Phys. Rev . A135, 1253 (1964)Google Scholar
  20. [20]
    B Mayer, K Hummler, C Elsässer and M Fähnle, J. Phys. Condens. Matter 7, 9201 (1995)ADSCrossRefGoogle Scholar
  21. [21]
    B A Oli, J. Phys. F: Met. Phys. 11, 2007 (1981)ADSCrossRefGoogle Scholar
  22. [22]
    A O E Animalu, Phys. Rev . B8, 3542 (1973)Google Scholar
  23. [23]
    Joseph Callaway, Quantum theory of solid state (Academic Press, New York, 1974)Google Scholar
  24. [24]
    C Kittel, Introduction to solid state physics, 5th edn. (Wiley, New York, 1976) p. 165Google Scholar
  25. [25]
    K Iyakutti, C K Majumdar, R S Rao and V Devanathan, J. Phys. F: Met. Phys. 6, 1639 (1976)ADSCrossRefGoogle Scholar

Copyright information

© Indian Academy of Sciences 2012

Authors and Affiliations

  1. 1.Department of PhysicsBegunia CollegeBeguniaIndia

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