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Elementary theory of electron spin-lattice relaxation (theory and methods of T1 measurements)

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Conclusion

Here the review article comes to an end; it dealt with some new ideas which may be interesting for physicists who are familiar with the magnetic resonance effects but not specialized in the field of relaxation. The theory was therefore built up elementarily. The experimental methods are described in sufficient detail. The author will be happy if he succeeded in arousing the readers' interest, who may then have recourse to more special papers as compiled in the reference list. We are sure that, although some thirty years have passed since Waller published his excellent paper [30], the investigations into the process of spin-lattice relaxation are still actual. The discovery of the masers and lasers focused the interest particularly to this field of research. A glance at the reference list shows us how many important papers are available published in the past years. The “bottle-neck phonons,” relaxation in ruby and rare earths, the discovery of new processes-all these problems are objects of active investigations carried out by a great number of scientists, among which we find outstanding specialists.

None the less, there is, fortunately for the researchers, still much to do. The complexity of the problems' theory is considerable and many problems are so far unsolved. On the other hand, the measurement of relaxation times is a rather subtle procedure which often is not feasible. So there are all possibilities open for new technical ideas. The work in this field is known to be connected with difficulties but has also p promising future.

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Literature Cited

  1. H. Casimir and F. Du Pre, Physica,5, 507 (1938).

    Google Scholar 

  2. R. Kronig, Physica,6, 33 (1939).

    Google Scholar 

  3. E. Andrew, Nuclear Magnetic Resonance, Cambridge University Press (1958), pp. 11–107.

  4. L. Hebel, Solid State Physics,15, 409 (1963).

    Google Scholar 

  5. C. Gorter, Paramagnetic Relaxation, Elsevier, London (1947).

    Google Scholar 

  6. P. Scott and C. Jeffries, Phys. Rev.,127, 32 (1962).

    Google Scholar 

  7. J. Giordmaine, L. Alsop, F. Nash, and C. Townes, Phys. Rev.,109, 302 (1958).

    Google Scholar 

  8. J. Goldsborough, M. Mandel, and G. Pake, Phys. Rev. Letters, No. 4, 13 (1960).

    Google Scholar 

  9. N. Bloembergen, S. Shapiro, P. Pershan, and J. Artmann, Phys. Rev.,144, 445 (1959).

    Google Scholar 

  10. S. Al'tshuler and B. Kozyrev, Electron Paramagnetic Resonance [in Russian], Fizmatgiz, Moscow (1961).

    Google Scholar 

  11. B. Faughnan and M. Strandberg, J. Phys. Chem. Solids,19, 155 (1961).

    Google Scholar 

  12. M. Strandberg, Phys. Rev.,110, 65 (1958).

    Google Scholar 

  13. P. Klements, Solid State Physics,7, 1 (1958).

    Google Scholar 

  14. Van Vleck, Phys. Rev.,57, 426 (1940).

    Google Scholar 

  15. Van Vleck, Phys. Rev.,59, 724 (1941).

    Google Scholar 

  16. Y. Ayant, Thèse, Paris (1954).

  17. C. Davis, M. Strandberg, and R. Kyhl, Phys. Rev.,111, 1268 (1958).

    Google Scholar 

  18. W. Mims, K. Nassau, and J. MacGee, Phys. Rev.,123, 2059 (1961).

    Google Scholar 

  19. M. Fierz, Physica,5, 433 (1938).

    Google Scholar 

  20. R. Orbach, Proc. Roy. Soc.,A264, 458 (1961).

    Google Scholar 

  21. C. Finn, R. Orbach, and W. Wolf, Proc. Phys. Soc.,77, 261 (1961).

    Google Scholar 

  22. R. Orbach, Proc. Roy. Soc.,A264, 485 (1961).

    Google Scholar 

  23. S. Al'tshuler, Zh. Éksp. i Teor. Fiz.,17, 1637 (1964).

    Google Scholar 

  24. G. Zverev, Zh. Éksp. i Teor. Fiz.,17, 1251 (1964).

    Google Scholar 

  25. Sh. Bashkirov, Reports of Conference on Paramagnetic Resonance [in Russian], Kazan' (1960), p. 54.

  26. Fluctuation, Relaxation and Resonance in Magnetic Systems, Ed. by D. Ter-Haar, Oliver and Boyd Ltd. (1962).

  27. W. Caspers, Theory of Spin Relaxation, Interscience, New York (1964).

    Google Scholar 

  28. W. Heitler and E. Teller, Proc. Roy. Soc.,155, 629 (1936).

    Google Scholar 

  29. R. Kronig and C. Bowkamp, Physica,5, 521 (1938).

    Google Scholar 

  30. I. Waller, Z. Phys.,79, 370 (1932).

    Google Scholar 

  31. R. Mattuck and M. Strandberg, Phys. Rev.119, 1294 (1960).

    Google Scholar 

  32. A. Abragam, Cours a l'J.N.S.T.N., C.E.A., Saclay, Vol. IV (1956).

  33. J. Pescia, These, Ann. Physique,10, 389 (1965).

    Google Scholar 

  34. N. Bloembergen and S. Wang, Phys. Rev.,93, 72 (1954).

    Google Scholar 

  35. A. Manenkov and A. Prokhorov, Zh. Éxper. i. Teor. Fiz.,13, 1129 (1961).

    Google Scholar 

  36. M. Grivet, La Resonance Paramagnetique Nucleaire, C.N.R.S., Paris (1955).

    Google Scholar 

  37. M. Pryce, Proc. Roy. Soc.,A183, 433 (1965).

    Google Scholar 

  38. J. Herve and J. Pescia, Compt. Rend. Acad. Sci.,256, 5076 (1963).

    Google Scholar 

  39. A. Eschenfelder and R. Wiedener, Phys. Rev.,81, 869 (1953).

    Google Scholar 

  40. A. Portis, Phys. Rev.,91, 1071 (1953).

    Google Scholar 

  41. J. Theobald, These, Ann. Physique, 585 (1962).

  42. F. Bloch, Phys. Rev.,70, 460 (1946).

    Google Scholar 

  43. N. Bloembergen, E. Purcell, and R. Pound, Phys. Rev.,79, 679 (1948).

    Google Scholar 

  44. K. Bowers and W. Mims, Phys. Rev.,115, 285 (1959).

    Google Scholar 

  45. K. Standley and J. Wright, Proc. Phys. Soc.,83, 361 (1964).

    Google Scholar 

  46. G. Pace, D. Sampson, and J. Thorp, Proc. Phys. Soc.,76, 697 (1960).

    Google Scholar 

  47. J. Pescia, Arch. Sci., 360 (1960).

  48. K. Stevens, Proc. Phys. Soc.,A65, 209 (1952).

    Google Scholar 

  49. S. Clement and J. Pescia, Compt. Rend. Acad. Sci.,260, 2143 (1965).

    Google Scholar 

  50. A. Abragam, Nuclear Magnetism [Russian translation], IL, Moscow (1963).

    Google Scholar 

  51. P. Anderson, Phys. Rev.,114, 1002 (1959).

    Google Scholar 

  52. E. Purcell and C. Slichter, Phys. Rev.,76, 466 (1949).

    Google Scholar 

  53. A. Redfield, Phys. Rev.,98, 1787 (1955).

    Google Scholar 

  54. C. Slichter and W. Holton, Phys. Rev.,122, 1701 (1961).

    Google Scholar 

  55. W. Goldburg, Phys. Rev.,122, 831 (1961).

    Google Scholar 

  56. I. Solomon and J. Ezraty, Phys. Rev.,127, 78 (1962).

    Google Scholar 

  57. F. Lurie and C. Slichter, Phys. Rev. Letters, No. 10, 403 (1963).

    Google Scholar 

  58. Tran van Hiep, Compt. Rend. Acad. Sci.,260, 3041 (1965).

    Google Scholar 

  59. J. Winter, J. Physique,26, 41 (1965).

    Google Scholar 

  60. F. De Vrijer and C. Gorter, Physica,18, 549 (1952).

    Google Scholar 

  61. J. Van den Brock, L. Van der Marel, and C. Gorter, Physica,25, 371 (1959).

    Google Scholar 

  62. C. Gorter and W. Van der Marel, Physica,21, 103 (1955).

    Google Scholar 

  63. E. Hahn, Phys. Rev.,80, 580 (1950).

    Google Scholar 

  64. R. Gabillard, Compt. Rend. Acad. Sci.,233, 39 (1951).

    Google Scholar 

  65. P. Hubbard and T. Rowland, J. Appl. Phys.,28, 1275 (1957).

    Google Scholar 

  66. J. Herve and J. Pescia, Compt. Rend. Acad. Sci.,251, 665 (1960).

    Google Scholar 

  67. D. Feldman and B. MacAvoy, Rev. Scient. Instrum.,32, 74 (1961).

    Google Scholar 

  68. D. Ingram, Spectroscopy at Radio- and Microwave Frequencies, Butterworth Scientific Publications, London (1955), pp. 162, 175.

    Google Scholar 

  69. G. Zverev and A. Prokhorov, Zh. Éksp. i Teor. Fiz.,12, 41 (1961).

    Google Scholar 

  70. J. Van Vleck, Phys. Rev.,74, 1168 (1948).

    Google Scholar 

  71. B. Bleany, Phil. Mag.,42, 441 (1951).

    Google Scholar 

  72. J. Herve, These, Paris (1958).

  73. V. Genkin, Fiz. Tverd. Tela,6, 368 (1964).

    Google Scholar 

  74. F. Nash, Phys. Rev.,138, A1500 (1965).

    Google Scholar 

  75. F. Nash, Phys. Rev. Letters, No. 7, 59 (1961).

    Google Scholar 

  76. J. Giordmaine and F. Nash, Phys. Rev.,138, A1510 (1965).

    Google Scholar 

  77. P. Donoho, Phys. Rev.,133, A1080 (1965).

    Google Scholar 

  78. J. Gill, Proc. Phys. Soc.,85, 119 (1965).

    Google Scholar 

  79. W. Mims and J. MacGee, Phys. Rev.,119, 1233 (1960).

    Google Scholar 

  80. V. Genkin and V. Fain, Usp. Fiz. Nauk,6, 1320 (1964).

    Google Scholar 

  81. R. Armstrong and A. Szabo, Canad. J. Phys.,38, 1304 (1960).

    Google Scholar 

  82. Y. Nisida, J. Phys. Soc. Japan,17, 1519 (1962).

    Google Scholar 

  83. S. Feng and N. Bloembergen, Phys. Rev.,130, 531 (1963).

    Google Scholar 

  84. J. Gill, Nature,190, 619 (1961).

    Google Scholar 

  85. R. Damon, Rev. Mod. Phys.,25, 239 (1953).

    Google Scholar 

  86. S. Bogle and B. Gardner, Austral. J. Phys.,14, 381 (1961).

    Google Scholar 

  87. N. Bloembergen and P. Pershaw, Advances in Quantum Electronics, Singer, Columbia University Press, New York (1961), p. 373.

    Google Scholar 

  88. J. Van Vleck, Advances in Quantum Electronics, Singer, Columbia University Press, New York (1961), p. 388.

    Google Scholar 

  89. J. Gill and R. Elliott, Advances in Quantum Electronics, Singer, Columbia University Press, New York (1961), p. 399.

    Google Scholar 

  90. M. Hirono, J. Phys. Soc. Japan,16, 766 (1961).

    Google Scholar 

  91. A. Kiel, Phys. Rev.,120, 137 (1960).

    Google Scholar 

  92. J. Geuzic, Phys. Rev.,118, 129 (1960).

    Google Scholar 

  93. M. Blume, R. Orbach, A. Kiel, and A. Geschwing, Phys. Rev.,139, A314 (1965).

    Google Scholar 

  94. M. Madan, Canad. J. Phys.,42, 584 (1964).

    Google Scholar 

  95. A. Taylor and G. Famell, Canad. J. Phys.,42, 595 (1964).

    Google Scholar 

  96. G. Geschwind, G. Devlin, R. Cohen, and S. Chinn, Phys. Rev.,137, A1087 (1965).

    Google Scholar 

  97. R. Hayward, and D. Dugdale, Phys. Rev. Letters, No. 12, 88 (1964).

    Google Scholar 

  98. J. Mackinnon and G. Dionne, Canad. J. Phys.,44, 2329 (1966).

    Google Scholar 

  99. A. Kipling, P. Smith, J. Vanier, and G. Woonton, Canad. J. Phys.,39, 1859 (1961).

    Google Scholar 

  100. G. Woonton, Advances in Electronics and Electron Phys., Acad. Press Inc., New York,15, 163 (1961).

    Google Scholar 

  101. R. Peterson, Phys. Rev.,139, A1151 (1965).

    Google Scholar 

  102. R. Peterson, Phys. Rev., 137, A1444 (1965).

    Google Scholar 

  103. L. Raubenheimer, E. Boesman, and H. Stapleton, Phys. Rev.,137, A1449 (1965).

    Google Scholar 

  104. Ch. Huang, Phys. Rev.,139, A241 (1965).

    Google Scholar 

  105. G. Dionne, Phys. Rev., in print.

  106. R. Benzie and A. Cook, Proc. Phys. Soc.,A63, 201 (1950).

    Google Scholar 

  107. L. Van der Marel, J. Van den Broek, and C. Gorter, Physica,23, 361 (1957).

    Google Scholar 

  108. K. Ruby, H. Benoit, and C. Jeffries, Phys. Rev.,127, 51 (1962).

    Google Scholar 

  109. K. Ruby, H. Benoit, P. Scott, and C. Jeffries, Bull. Amer. Phys. Soc.,6, 512 (1961).

    Google Scholar 

  110. O. Leifson and C. Jeffries, Phys. Rev.,122, 1781 (1961).

    Google Scholar 

  111. J. Ziman, Electrons and Phonons, The Clarendon Press, Oxford (1960), Ch. 1 and 3 [Russian translation], IL, Moscow (1962).

    Google Scholar 

  112. A. Abragam and M. Pryce, Proc. Roy. Soc.,A205, 135 (1951).

    Google Scholar 

  113. W. Low, Solid State Physics, Suppl. 2 (1960).

  114. D. Ingram and J. Tapley, Chem. and Industr., 568 (1955).

  115. J. Uebersfeld and E. Erb, J. Phys. et Radium,16, 340 (1955).

    Google Scholar 

  116. A. Portis, Phys. Rev.,104, 584 (1956).

    Google Scholar 

  117. W. Wolf, Phys. Rev.,142, A555 (1966).

    Google Scholar 

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Translation of the article by J. Pescia “La rélaxation des spins électroniques avec le réseau (Théorie élementaire et methodes de mésure du temps T1)” published in J. Phys.,27, 782 (1966). Abstract by S. N. Dobryakov, translator.

Laboratory of Solid State Physics, Faculty of Natural Sciences, Toulouse, France. Translated from Zhurnal Strukturnoi Khimii, Vol. 9, No. 6, pp. 1111–1130, November–December, 1968.

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Pescia, J. Elementary theory of electron spin-lattice relaxation (theory and methods of T1 measurements). J Struct Chem 9, 1002–1022 (1969). https://doi.org/10.1007/BF00744416

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