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Prog. Theor. Phys. Vol. 38 No. 6 (1967) pp. 1252-1269

[ Full Text PDF : FREE ACCESS (1328K) ]

Space-Group Selection Rules for Magnetic Crystals

Arthur P. Cracknell

Department of Physics, University of Singapore, Singapore 10

(Received April 17, 1967)

Abstract:

The theory of selection rules for phonon processes in crystals belonging to an ordinary (Fedorov) space group is extended to crystals belonging to one of the magnetic (Shubnikov) space groups. An example is given for MnF2 which belongs to P42'/mnm' and for which the irreducible corepresentations (“coreps”) were determined by Dimmock and Wheeler.


URL : http://ptp.ipap.jp/link?PTP/38/1252/
DOI : 10.1143/PTP.38.1252

[ Full Text PDF : FREE ACCESS (1328K) ] Citation:

References:

  1. R. J. Elliott and R. Loudon, J. Phys. Chem. Solids 15 (1960), 146[CrossRef].
  2. M. Lax and J. J. Hopfield, Phys. Rev. 124 (1961), 115[APS].
  3. J. Zak, J. Math. Phys. 3 (1962), 1278[CrossRef].
  4. J. L. Birman, Phys. Rev. 127 (1962), 1093[APS].
  5. J. L. Birman, Phys. Rev. 131 (1963), 1489[APS].
  6. H. T. Hsieh and H. S. Chen, Acta Phys. Sinica 20 (1964), 970.
  7. C. C. Hsü and H. T. Hsieh, Acta Phys. Sinica 21 (1965), 802.
  8. R. Loudon, Phys. Rev. 137 (1965), A1784[APS].
  9. M. Lax, Phys. Rev. 138 (1965), A793[APS].
  10. E. Burstein, F. A. Johnson and R. Loudon, Phys. Rev. 139 (1965), A1239[APS].
  11. J. L. Birman, M. Lax and R. Loudon, Phys. Rev. 145 (1966), 620[APS].
  12. C. J. Bradley, J. Math. Phys. 7 (1966), 1145[CrossRef].
  13. S. S. Mitra, Solid State Phys. 13 (1962), 1.
  14. R. Loudon, Adv. in Phys. 13 (1964), 423.
  15. A. V. Shubnikov and N. V. Belov, Colored Symmetry (Pergamon, 1964).
  16. W. Opechowski and R. Guccione, Magnetism, edited by G. T. Rado and H. Suhl (Academic Press, 1965), vol. IIA, chapter 3.
  17. E. P. Wigner, Group Theory and its Application to the Quantum Mechanics of Atomic Spectra (Academic Press, 1959), chapter 26.
  18. J. O. Dimmock and R. G. Wheeler, J. Phys. Chem. Solids 23 (1962), 729[CrossRef].
  19. J. O. Dimmock and R. G. Wheeler, Phys. Rev. 127 (1962), 391[APS].
  20. G. F. Karavaev, N. V. Kudryavtseva and V. A. Chaldyshev, Fiz. Tverd. Tela 4 (1962), 3471 [Sov. Phys. -Solid State 4 (1963), 2540].
  21. J. O. Dimmock, J. Math. Phys. 4 (1963), 1307[CrossRef].
  22. A. P. Cracknell, Prog. Theor. Phys. 33 (1965), 812[PTP].
  23. A. P. Cracknell, Prog. Theor. Phys. 35 (1966), 196[PTP].
  24. C. J. Bradley and A. P. Cracknell, Prog. Theor. Phys. 36 (1966), 648, [PTP]
  25. A. P. Cracknell, Aust. J. Phys. 19 (1966), 519.
  26. A. P. Cracknell and K. C. Wong, Aust. J. Phys. 20 (1967), 173.
  27. G. F. Karavaev, Fiz. Tverd. Tela 6 (1964), 3676 [Sov. Phys. -Solid State 6 (1965), 2943).
  28. C. J. Bradley and B. L. Davies, submitted to Rev. Mod. Phys.
  29. A. P. Cracknell, Aust. J. Phys. 20 (1967), 189.
  30. A. P. Cracknell, Adv. in Phys., to be published.
  31. L. P. Bouckaert, R. Smoluchowski and E. Wigner, Phys. Rev. 50 (1936), 58[APS].
  32. C. Herring, J. Fraklin Inst. 233 (1942), 525.
  33. G. F. Koster, Solid State Phys. 5 (1957), 173.
  34. D. K. Faddeyev, Tables of the Principal Unitary Representations of Fedorov Groups (Pergamon, 1964).
  35. O. V. Kovalev, Irreducible Representations of the Space Groups (Gordon and Breach, 1965).
  36. V. E. Khartsiev, Fiz. Tverd. Tela 4 (1962), 983 [Sov. Phys. -Solid State 4 (1962), 721].
  37. S. L. Altmann and A. P. Cracknell, Rev. Mod. Phys. 37 (1965), 19[APS].
  38. S. L. Altmann and C. J. Bradley, Rev. Mod. Phys. 37 (1965), 33[APS].
  39. F. Seitz, Ann. Math. 37 (1936), 17.
  40. C. J. Bradley, to be published.
  41. Y. Le Corre, J. Phys. Radium 19 (1958), 750.
  42. P. H. E. Meijer and E. Bauer, Group Theory (North-Holland, 1962).
  43. R. J. Elliott and R. Loudon, Phys. Lett. 3 (1963), 189[CrossRef].
  44. W. Brinkman and R. J. Elliott, J. Appl. Phys. 37 (1966), 1457[CrossRef].
  45. W. F. Brinkman and R. J. Elliott, Proc. R. Soc. (London) A 294 (1966), 343.

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 43 No. 6 (1970) pp. 1613-1614 :
    Space Group Selection Rules for Magnetic Crystals
    Arthur P. Cracknell and Brynmor L. Davies

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