, Volume 41, Issue 3, pp 239–255 | Cite as

Electronic structure of hydrogen and muonium in Al, Mg and Cu

  • Pawan Singh
  • S Prakash
Research Articles


The electronic structure of hydrogen and muonium in simple metals is investigated. The spherical solid model potential is used for the discrete lattice and the Blatt correction for lattice dilation. The proton and muon are kept at the octahedral sites in the fcc and hcp lattices and self-consistent non-linear screening calculations are carried out. The scattering phase shifts, electronic charge density, effective impurity potential, self-energy, charge transfer, residual resistivity and Knight shift are calculated. The spherical solid potential changes the scattering character of impurity. The phase shifts are found slowly converging. The scattering is more prominent in Al than in Mg and Cu. The virtual bound states of proton and muon are favoured in all the three metals. The calculated value of residual resistivity for CuH is in good agreement with the experimental value. The results for Knight shift forμ + in Cu and Mg are in reasonable agreement with the experimental values while those forμ + in Al are lower than the experimental value. The analytical expressions for effective impurity potential and electronic charge density are suggested.


Hydrogen muonium Knight shift resistivity 


71.50 71.55 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. [1]
    J Friedel,Philos. Mag. 43, 153 (1952)MATHGoogle Scholar
  2. [2]
    Z D Popovic, M J Stott, J P Carbotte and G R Piercy,Phys. Rev. B13, 590 (1976)ADSGoogle Scholar
  3. [3]
    P Jena and K S Singwi,Phys. Rev. B17, 3518 (1978)ADSGoogle Scholar
  4. [4]
    M Manninen and R M Nieminen,J. Phys. F9 1333 (1979)CrossRefADSGoogle Scholar
  5. [5]
    S Mahajan and S Prakash,Nuovo Cimento 2D, 883 (1983)CrossRefGoogle Scholar
  6. [6]
    S Mahajan and S Prakash,Phys. Status Solidi (b) 126 467 (1984)CrossRefGoogle Scholar
  7. [7]
    W Kohn and L J Sham,Phys. Rev. A140, 1133 (1965)CrossRefADSMathSciNetGoogle Scholar
  8. [8]
    P Vashishta and K S Singwi,Phys. Rev. B6, 8756 (1972)Google Scholar
  9. [9]
    L Katz, M Guinan and R J Borg,Phys. Rev. B4, 330 (1971)ADSGoogle Scholar
  10. [10]
    R A Oriani, inPhase stability in metals and alloys, edited by P S Rudman, J Stringer and R J Jaffe (New York) (1967)Google Scholar
  11. [11]
    H Schilling, M Camani, F N Gygax, W Ruegg and A Schenck,Hyperfine Int. 8, 675 (1981)CrossRefADSGoogle Scholar
  12. [12]
    M Manninen, R Nieminen, P Hautojärvi and J Arponen,Phys. Rev. B12, 4012 (1975)ADSGoogle Scholar
  13. [13]
    V G Grvebinnik,JETP Lett. 23, 8 (1976)ADSGoogle Scholar
  14. [14]
    C A Sholl and P V Smith,J. Phys. F8, 775 (1978)CrossRefADSGoogle Scholar
  15. [15]
    S Prakash,Phys. Rev. B18, 3980 (1978);ADSGoogle Scholar
  16. [15]a
    S Prakash, J E Bonnet and P Lucasson,Phys. Rev. B19, 1976 (1979)ADSGoogle Scholar
  17. [16]
    H Teichler,Phys. Lett. A67, 313 (1978)ADSGoogle Scholar
  18. [17]
    R W Wampler and B Lengeler,Phys. Rev. B15, 4614 (1983)ADSGoogle Scholar
  19. [18]
    M Manninen,Phys. Rev. B27, 53 (1983)ADSGoogle Scholar
  20. [19]
    B Mishra, L K Das, T Sahu, G S Tripathi and P K Mishra,Phys. Lett. A106, 81 (1984)ADSGoogle Scholar
  21. [20]
    O Gunnarsson and B I Lundqvist,Phys. Rev. B13, 4274 (1976)ADSGoogle Scholar
  22. [21]
    F N Gygax, A Hinterman, W Rüegg, W A Schenck, W Studer and A J Van der wal,J. Less Comm. Metals. 101, 97 (1984)CrossRefGoogle Scholar
  23. [22]
    J Deutz, P H Dederichs and R Zeller,J. Phys. F11, 1787 (1981)CrossRefADSGoogle Scholar

Copyright information

© the Indian Academy of Sciences 1993

Authors and Affiliations

  • Pawan Singh
    • 1
  • S Prakash
    • 1
  1. 1.Department of PhysicsPanjab UniversityChandigarhIndia

Personalised recommendations