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Compressed He3 and He4

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Helium-3 and Helium-4

Part of the book series: The International Cryogenics Monograph Series ((INCMS))

Abstract

Some of the more surprising aspects of both He3 and He4 are the exceedingly complex phase diagrams which have been mapped for these seemingly simple substances. In connection with the λ-transition of He4, we have already seen how the P-V-T and thermal properties behave anomalously, as we have also discussed some of the unusual characteristics of compressed liquid He3 as a Fermi liquid. While these are generally understandable as direct consequences of the degeneracy conditions of nonideal quantum fluids, there are several other remarkable equilibrium features attributable to quantum effects. Principal among these are first, that the solidification curves for both liquids display a minimum in the P-T plane, and second, that both isotopes have been found to exist in three different stable crystallo-graphic modifications.

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References

  1. R. H. Sherman in Physics of High Pressures and the Condensed Phase (A. van Itterbeek, ed.), p. 358, North Holland, Amsterdam (1965).

    Google Scholar 

  2. J. S. Dugdale, ibid, p. 382.

    Google Scholar 

  3. L. Goldstein, Phys. Rev., 112, 1465 (1958);

    Article  ADS  Google Scholar 

  4. L. Goldstein, Phys. Rev., 112, 1483 (1958).

    Article  ADS  Google Scholar 

  5. L. Goldstein, Phys. Rev., 117, 375 (1960).

    Article  ADS  MATH  Google Scholar 

  6. K. A. Brueckner and K. R. Atkins, Phys. Rev. Letters, 1, 315 (1958).

    Article  ADS  Google Scholar 

  7. E. C. Kerr and R. D. Taylor, Ann. Phys. (N.Y.), 20, 450 (1962).

    Article  ADS  Google Scholar 

  8. R. H. Sherman and F. J. Edeskuty, Ann. Phys. (N.Y.), 9, 522 (1960).

    Article  ADS  Google Scholar 

  9. E. R. Grilly and R. L. Mills, Ann. Phys. (N.Y.), 8, 1 (1959).

    Article  ADS  Google Scholar 

  10. D. F. Brewer and J. G. Daunt, Phys. Rev., 115, 843 (1959).

    Article  ADS  Google Scholar 

  11. D. F. Brewer and J. R. G. Keyston, Nature, 191, 1261 (1961).

    Article  ADS  Google Scholar 

  12. A. C. Anderson, W. Reese, and J. C. Wheatley, Phys. Rev., 130, 495 (1963).

    Article  ADS  Google Scholar 

  13. D. M. Lee, H. A. Fairbank, and E. J. Walker, Phys. Rev., 121, 1258 (1961).

    Article  ADS  Google Scholar 

  14. J. E. Rives and H. Meyer, Phys. Rev. Letters, 7, 217 (1961).

    Article  ADS  Google Scholar 

  15. C. Boghosian, H. Meyer, and J. E. Rives, Phys. Rev., 146, 110 (1966).

    Article  ADS  Google Scholar 

  16. D. F. Brewer, J. G. Daunt, and A. K. Sreedhar, Phys. Rev., 115, 836 (1959).

    Article  ADS  Google Scholar 

  17. L. Goldstein, Ann. Phys. (N.Y.), 8, 390 (1959);

    Article  ADS  MATH  Google Scholar 

  18. L. Goldstein, Ann. Phys. (N.Y.) 16, 205 (1961).

    Article  ADS  MATH  Google Scholar 

  19. O. V. Lounasmaa, Cryogenics, 1, 212 (1961).

    Article  ADS  Google Scholar 

  20. R. W. Hill and O. V. Lounasmaa, Phil. Trans. Roy. Soc, A252, 357 (1960).

    Article  ADS  Google Scholar 

  21. K. R. Atkins and M. H. Edwards, Phys. Rev., 97, 1429 (1955).

    Article  ADS  Google Scholar 

  22. E. C. Kerr and R. D. Taylor, Ann. Phys. (N.Y.), 26, 292 (1964).

    Article  ADS  Google Scholar 

  23. R. L. Mills and S. G. Sydoriak, Ann. Phys. (N.Y.), 34, 276 (1965).

    Article  ADS  Google Scholar 

  24. H. C. Kramers, J. D. Wasscher, and C. J. Gorter, Physica, 18, 329 (1952);

    Article  ADS  Google Scholar 

  25. J. Wiebes, C. G. Niels-Hakkenberg, and H. C. Kramers, Physica, 23, 625 (1957).

    Article  ADS  Google Scholar 

  26. S. G. Sydoriak and R. L. Mills, in Low Temperature Physics LT-9 (J. G. Daunt, D. O. Edwards, F.J. Milford, and M. Yaqub, eds.), p. 273, Plenum Press, New York (1965).

    Google Scholar 

  27. C. Boghosian and H. Meyer, Phys. Rev., 152, 200 (1966);

    Article  ADS  Google Scholar 

  28. C. Boghosian and H. Meyer, Phys. Rev., 163, 206 (1967).

    Article  ADS  Google Scholar 

  29. K. R. Atkins and R. A. Stasior, Can. J. Phys., 31, 1156 (1953).

    Article  ADS  Google Scholar 

  30. R. L. Mills, Ann. Phys. (N.Y.), 35, 410 (1965).

    Article  ADS  Google Scholar 

  31. H. Palevsky, K. Otnes, and K. E. Larsson, Phys. Rev., 112, 11 (1958);

    Article  ADS  Google Scholar 

  32. J. L. Yarnell, G. P. Arnold, P. J. Bendt, and E. C. Kerr, Phys. Rev., 113, 1379 (1959);

    Article  ADS  Google Scholar 

  33. D. G. Henshaw and A. D. B. Woods, Phys. Rev., 121, 1266 (1961).

    Article  ADS  Google Scholar 

  34. D. G. Henshaw and A. D. B. Woods, in Proceedings of the VII International Conference on Low Temperature Physics (G. M. Graham and A. C. H. Hallett, eds.), p. 539, University of Toronto Press (1961).

    Google Scholar 

  35. C.J.N. van den Meijdenberg, K. W. Taconis, and R. De Bruyn Ouboter, Physica, 27, 197 (1961).

    Article  ADS  Google Scholar 

  36. J. Wiebes and H. C. Kramers, LT-10, Vol. I, p. 243, Moscow (1967).

    Google Scholar 

  37. I. Pomeranchuk, Zh. Eksperim. i Teor. Fiz., 20, 919 (1960).

    Google Scholar 

  38. N. Bernardes and H. Primakoff, Phys. Rev. Letters, 2, 290 (1959);

    Article  ADS  Google Scholar 

  39. N. Bernardes and H. Primakoff, Phys. Rev. Letters, 3, 144 (1959);

    Article  ADS  Google Scholar 

  40. N. Bernardes and H. Primakoff, Phys. Rev., 119, 968 (1960).

    Article  ADS  MATH  MathSciNet  Google Scholar 

  41. D. W. Osborne, B. M. Abraham, and B. Weinstoek, Phys. Rev., 82, 263 (1951);

    Article  ADS  Google Scholar 

  42. B. Weinstoek, B. M. Abraham, and D. W. Osborne, Phys. Rev., 85, 158 (1952).

    Article  ADS  Google Scholar 

  43. T. R. Roberts and S. G. Sydoriak, Phys. Rev., 93, 1418 (1954).

    Article  ADS  Google Scholar 

  44. W. M. Fairbank and G. K. Walters, Bull. Am. Phys. Soc, 2, 193 (1957); Symposium on Liquid and Solid He 3 (J. G. Daunt, ed.), p. 220, Ohio State University Press (1957).

    Google Scholar 

  45. J. L. Baum, D. F. Brewer, J. G. Daunt, and D. O. Edwards, Phys. Rev. Letters, 3, 127 (1959).

    Article  ADS  Google Scholar 

  46. R. L. Mills, E. R. Grilly, and S. G. Sydoriak, Ann. Phys. (N.Y.), 12, 41 (1961).

    Article  ADS  Google Scholar 

  47. A. C. Anderson, G. L. Salinger, W. A. Steyert, and J. C. Wheatley, Phys. Rev. Letters, 7, 299 (1961).

    Article  ADS  Google Scholar 

  48. A. C. Anderson, W. Reese, and J. C. Wheatley, Phys. Rev., 130, 1644 (1963).

    Article  ADS  Google Scholar 

  49. E. D. Adams, G. C. Straty, and E. L. Wall, Phys. Rev. Letters, 15, 549 (1965).

    Article  ADS  Google Scholar 

  50. E. C. Heltemes and C. A. Swenson, Phys. Rev., 128, 1512 (1962).

    Article  ADS  Google Scholar 

  51. G. C. Straty, Thesis, University of Florida (1967);

    Google Scholar 

  52. G. C. Straty and E. D. Adams, Phys. Rev., 169, 232 (1968).

    Article  ADS  Google Scholar 

  53. E. R. Grilly, LT-10, Vol. I, p. 253, Moscow (1967): also private communication.

    Google Scholar 

  54. L. Goldstein, Phys. Rev., 133, A52 (1964).

    Article  ADS  Google Scholar 

  55. L. Goldstein, Phys. Rev., 159, 120 (1967).

    Article  ADS  Google Scholar 

  56. J. Jarvis and H. Meyer, LT-10, Vol. I, p. 258, Moscow (1967).

    Google Scholar 

  57. M. F. Panczyk, R. A. Scribner, G. C. Straty, and E. D. Adams, Phys. Rev. Letters, 19, 1102 (1967).

    Article  ADS  Google Scholar 

  58. W. R. Abel, A. C. Anderson, and J. C. Wheatley, Phys. Rev. Letters, 1, 299 (1961).

    Article  ADS  Google Scholar 

  59. A. C. Anderson, W. Reese, and J. C. Wheatley, Phys. Rev. Letters, 7, 366 (1961).

    Article  ADS  Google Scholar 

  60. H. A. Fairbank, Phys. Rev. Letters, 8, 49 (1962).

    Article  ADS  Google Scholar 

  61. D.O. Edwards, A. S. McWilliams, and J. G. Daunt, Physics Letters, 1, 101 (1962).

    Article  ADS  Google Scholar 

  62. L. Goldstein, Phys. Rev. Letters, 5, 104 (1960);

    Article  ADS  Google Scholar 

  63. L. Goldstein, Phys. Rev., 122, 726 (1961);

    Article  ADS  Google Scholar 

  64. L. Goldstein, Phys. Rev., 128, 1520 (1962).

    Article  ADS  Google Scholar 

  65. J. Wiebes and H. C. Kramers, Physics Letters, 4, 298 (1963).

    Article  ADS  Google Scholar 

  66. C. Le Pair, K. W. Taconis, R. De Bruyn Ouboter, and P. Das, Physica, 29, 755 (1963).

    Article  Google Scholar 

  67. G. O. Zimmerman, in Low Temperature Physics LT-9 (J. G. Daunt, D. O. Edwards, F. J. Milford, and M. Yaqub, eds.), p. 240, Plenum Press, New York (1965).

    Google Scholar 

  68. S. G. Sydoriak and R. L. Mills, in Low Temperature Physics LT-9 (J. G. Daunt, D. O. Edwards, F. J. Milford, and M. Yaqub, eds.), p. 273, Plenum Press, New York (1965).

    Google Scholar 

  69. C. Le Pair, R. De Bruyn Ouboter, and J. Pit, Physica, 31, 813 (1965).

    Article  ADS  Google Scholar 

  70. G. C. Straty and E. D. Adams, Phys. Rev. Letters, 17, 290 (1966);

    Article  ADS  Google Scholar 

  71. G. C. Straty and E. D. Adams, Phys. Rev. Letters, 17, 505 (1966).

    Article  ADS  Google Scholar 

  72. L. Goldstein and R. L. Mills, Phys. Rev., 159, 136 (1967).

    Article  ADS  Google Scholar 

  73. E. R. Grilly and R. L. Mills, Ann. Phys. (N.Y.), 18, 250 (1962).

    Article  ADS  Google Scholar 

  74. D. O. Edwards and R. C. Pandorf, Phys. Rev., 140, A816 (1965);

    Article  ADS  Google Scholar 

  75. D. O. Edwards and R. C. Pandorf, Phys. Rev., 152, 494 (1966).

    Article  ADS  Google Scholar 

  76. J. H. Vignos and H. A. Fairbank, Phys. Rev., 147, 185 (1966).

    Article  ADS  Google Scholar 

  77. W. H. Keesom and K. W. Taconis, Physica, 5, 161 (1938).

    Article  ADS  Google Scholar 

  78. A. F. Schuch and R. L. Mills, in Advances in Cryogenic Engineering (K. D. Timmerhaus, ed.), Vol. 7, p. 311, Plenum Press, New York (1962).

    Google Scholar 

  79. A. F. Schuch and R. L. Mills, Acta Cryst. (SuppL), 16, Part 13, A20 (1963).

    Article  Google Scholar 

  80. F. W. de Wette and B. R. A. Nijboer, Physics Letters, 18, 19 (1965).

    Article  ADS  Google Scholar 

  81. L. H. Nosanow, Phys. Rev., 146, 120 (1966).

    Article  ADS  Google Scholar 

  82. T. R. Koehler, Phys. Rev. Letters, 17, 89 (1966);

    Article  ADS  Google Scholar 

  83. T. R. Koehler, Phys. Rev. Letters, 18, 654 (1967);

    Article  ADS  Google Scholar 

  84. T. R. Koehler, Phys. Rev., 144, 789 (1966);

    Article  ADS  Google Scholar 

  85. T. R. Koehler, Phys. Rev., 165, 942 (1968).

    Article  ADS  Google Scholar 

  86. L. H. Nosanow and G. L. Shaw, Phys. Rev., 119, 968 (1962).

    Google Scholar 

  87. D. Rosenwald, Phys. Rev., 154, 160 (1967).

    Article  ADS  Google Scholar 

  88. E. M. Saunders, Phys. Rev., 126, 1724 (1962).

    Article  ADS  MATH  Google Scholar 

  89. R. L. Garwin and A. Landesman, Physics, 2, 107 (1965).

    Google Scholar 

  90. W. J. Mullin, Phys. Rev., 166, 142 (1968).

    Article  ADS  Google Scholar 

  91. L. H. Nosanow and W. J. Mullin, Phys. Rev. Letters, 14, 133 (1965).

    Article  ADS  Google Scholar 

  92. L. H. Nosanow and N. R. Werthamer, Phys. Rev. Letters, 15, 618, 997 (1965).

    Article  ADS  Google Scholar 

  93. J. H. Hetherington, W. J. Mullin, and L. H. Nosanow, Phys. Rev., 154, 175 (1967).

    Article  ADS  Google Scholar 

  94. W. L. McMillan, Phys. Rev., 138, A442 (1965); see also Section 5.1.4c of this book.

    Google Scholar 

  95. E. D. Adams, H. Meyer, and W. M. Fairbank, in Helium Three (J. G. Daunt, ed.), p. 57, Ohio State University Press (1960).

    Google Scholar 

  96. D.O. Edwards, A. S. McWilliams, and J. G. Daunt, Physics Letters, 1, 218 (1962).

    Article  ADS  Google Scholar 

  97. J. M. Goodkind and W. M. Fairbank, in Helium Three (J. G. Daunt, ed.), p. 52, Ohio State University Press (1960).

    Google Scholar 

  98. H.A. Reich, ibid, p. 63.

    Google Scholar 

  99. D. O. Edwards, A. S. McWilliams, and J. G. Daunt, Phys. Rev. Letters, 9, 195 (1962).

    Article  ADS  Google Scholar 

  100. A. L. Thomson, H. Meyer, and P. N. Dheer, Phys. Rev., 132, 1455 (1963).

    Article  ADS  Google Scholar 

  101. H. D. Cohen, P. B. Pipes, K. L. Verosub and W. M. Fairbank, Phys. Rev. Letters, 21, 677 (1968).

    Article  ADS  Google Scholar 

  102. R. C. Richardson, E. Hunt, and H. Meyer, Phys. Rev., 138, A1326 (1965).

    Article  ADS  Google Scholar 

  103. R. C. Richardson, A. Landesman, E. Hunt, and H. Meyer, Phys. Rev., 146, 244 (1966).

    Article  ADS  Google Scholar 

  104. H. A. Reich, Phys. Rev., 129, 630 (1963).

    Article  ADS  Google Scholar 

  105. R. L. Garwin and A. Landesman, Phys. Rev., 133, A1503 (1964).

    Article  ADS  Google Scholar 

  106. R. L. Garwin and H. A. Reich, Phys. Rev. Letters, 12, 354 (1964).

    Article  ADS  Google Scholar 

  107. B. T. Beal, R. P. Giffard, J. Hatton, M. G. Richards, and P. M. Richards, Phys. Rev. Letters, 12, 393 (1964).

    Article  ADS  Google Scholar 

  108. M. G. Richards, J. Hatton, and R. P. Giffard, Phys. Rev., 139, A91 (1965).

    Article  ADS  Google Scholar 

  109. R. P. Giffard and J. Hatton, Phys. Rev. Letters, 18, 1106 (1967) ; private communication.

    Article  ADS  Google Scholar 

  110. P. W. Anderson and P. R. Weiss, Rev. Mod. Phys., 25, 269 (1953).

    Article  ADS  Google Scholar 

  111. R. Kubo and K. Tomita, J. Phys. Soc. (Japan), 9, 888 (1954).

    ADS  Google Scholar 

  112. S. R. Hartmann, Phys. Rev., 133, A17 (1964).

    Article  ADS  Google Scholar 

  113. R. B. Griffiths, Phys. Rev., VIA, 1023 (1961).

    Article  Google Scholar 

  114. H. H. Sample and C. A. Swenson, Phys. Rev., 158, 188 (1967).

    Article  ADS  Google Scholar 

  115. D. O. Edwards and R. C. Pandorf, Phys. Rev., 144, 143 (1966).

    Article  ADS  Google Scholar 

  116. J. S. Dugdale and J. P. Franck, Phil. Trans. Roy. Soc., A257, 1 (1964).

    Article  ADS  Google Scholar 

  117. J. P. Franck, Physics Letters, 11, 208 (1964).

    Article  ADS  Google Scholar 

  118. W. H. Keesom and A. P. Keesom, Physica, 3, 105 (1936).

    Article  ADS  Google Scholar 

  119. G. H. Ahlers, Phys. Rev. Letters, 10, 439 (1963);

    Article  ADS  Google Scholar 

  120. G. H. Ahlers, Phys. Rev., 135, A10 (1964).

    Article  ADS  Google Scholar 

  121. R. P. Lipschultz and D. M. Lee, Phys. Rev. Letters, 14, 1017 (1965): Lipschultz, Thesis, Cornell University (1966).

    Article  ADS  Google Scholar 

  122. R. Peierls, Quantum Theory of Solids, Clarendon Press, Oxford (1955).

    MATH  Google Scholar 

  123. J. M. Ziman, Electrons and Phonons, Clarendon Press, Oxford (1962).

    Google Scholar 

  124. H. B. G. Casimir, Physica, 5, 495 (1938).

    Article  ADS  Google Scholar 

  125. R. N. Gurzhi, Zh. Eksperim. i Teor. Fiz., 46, 719 (1964) [English translation, Soviet Phys.— JETP, 19, 490 (1964)].

    Google Scholar 

  126. J. Sussmann and A. Thellung, Proc. Phys. Soc. (London), 81, 1122 (1963).

    Article  ADS  MATH  Google Scholar 

  127. R. A. Guyer and J. A. Krumhansl, Phys. Rev., 148, 766 (1966);

    Article  ADS  Google Scholar 

  128. R. A. Guyer and J. A. Krumhansl, Phys. Rev., 148; 778 (1966).

    Article  ADS  Google Scholar 

  129. F. J. Webb, K. R. Wilkinson, and J. Wilks, Proc. Roy. Soc. (London), A214, 546 (1952).

    Article  ADS  Google Scholar 

  130. F.J. Webb and J. Wilks, Phil. Mag., 44, 664 (1953).

    Google Scholar 

  131. B. Bertman, H. A. Fairbank, C. W. White, and M. J. Crooks, Phys. Rev., 142, 74 (1966).

    Article  ADS  Google Scholar 

  132. E. J. Walker and H. A. Fairbank, Phys. Rev., 118, 913 (1960).

    Article  ADS  Google Scholar 

  133. R. Berman and S. J. Rogers, Physics Letters, 9, 115 (1964).

    Article  ADS  Google Scholar 

  134. P. G. Klemens, Proc. Roy. Soc. (London), A208, 108 (1951);

    Article  ADS  MATH  Google Scholar 

  135. P. G. Klemens, Proc. Phys. Soc. (London), A68, 1113 (1955).

    Article  ADS  MATH  Google Scholar 

  136. J. Callaway, Phys. Rev., 113, 1046 (1959); 122, 787 (1961).

    Article  ADS  MATH  Google Scholar 

  137. B. Bertman, H. A. Fairbank, R. A. Guyer, and C. W. White, Phys. Rev., 142, 79 (1966).

    Article  ADS  Google Scholar 

  138. R. Berman, C. L. Bounds, and S. J. Rogers, Proc. Roy. Soc. (London), A289, 66 (1966).

    Article  ADS  Google Scholar 

  139. L. Mezhov-Deglin, Zh. Eksperim. i Teor. Fiz., 49, 66 (1965) [English translation, Soviet Phys.—JETP, 22, 47 (1966)].

    Google Scholar 

  140. A. I. Shal’nikov, Zh. Eksperim. i Teor. Fiz., 41, 1056, 1059(1961)[English translation, Soviet Phys.—JETP, 14, 753, 755 (1962)].

    Google Scholar 

  141. J. C. Ward and J. Wilks, Phil. Mag., 42, 314 (1951).

    Google Scholar 

  142. E. W. Prohofsky and J. A. Krumhansl, Phys. Rev., 133, A1403 (1964).

    Article  ADS  Google Scholar 

  143. R. A. Guyer and J. A. Krumhansl, Phys. Rev., 133, A1411 (1964).

    Article  ADS  Google Scholar 

  144. R. A. Guyer, Phys. Rev., 148, 789 (1966).

    Article  ADS  Google Scholar 

  145. C. C. Ackerman, Thesis, Duke University (1966).

    Google Scholar 

  146. R. J. von Gutfeld and A. H. Nethercot, Phys. Rev. Letters, 12, 64 (1964).

    Google Scholar 

  147. See, for example, P. C. Kwok and P. C. Martin, Phys. Rev., 142, 495 (1966);

    Article  ADS  Google Scholar 

  148. L. J. Sham, Phys. Rev., 156, 494 (1967).

    Article  ADS  Google Scholar 

  149. C. C. Ackerman, B. Bertman, H. A. Fairbank, and R. A. Guyer, Phys. Rev. Letters, 16, 789 (1966).

    Article  ADS  Google Scholar 

  150. C. C. Ackerman and R. A. Guyer [to be published, Ann. Phys. (N.Y.)].

    Google Scholar 

  151. C. C. Ackerman and R. A. Guyer, Solid State Comm., 5, 671 (1967).

    Article  ADS  Google Scholar 

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Keller, W.E. (1969). Compressed He3 and He4 . In: Helium-3 and Helium-4. The International Cryogenics Monograph Series. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-6485-4_9

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