All JournalsPhysics Magazine

Export citation

Export citation

Choose format for download:

Download Citation
  • Access by Xinjiang University

Pressure Dependence of Self-Diffusion in Lithium and Sodium

R. A. Hultsch* and R. G. Barnes

  • Institute for Atomic Research and Department of Physics, Iowa State University, Ames, Iowa

  • *Present address: Department of Physics, University of Missouri, Columbia, Missouri.

Phys. Rev. 125, 1832 – Published 15 March, 1962

DOI: https://doi.org/10.1103/PhysRev.125.1832

Abstract

The activation volume ΔVa for self-diffusion in lithium and sodium has been measured using nuclear magnetic resonance spin-echo techniques. In the region where the resonance line shape is narrowed by diffusion, the nuclear dipole-dipole phase memory time (T2)d is proportional to the self-diffusion coefficient D. Measurements of (T2)d for lithium as a function of pressure at constant temperature have been made at five temperatures between 35° and 80°C, and at pressures to 7000 atm. The phase memory time has been measured for sodium at three temperatures near -45°C at pressures to 3500 atm. Molar activation volumes of 3.6±0.3 cm3 and 9.6±0.5 cm3 have been obtained for lithium and sodium, respectively. These values are, respectively, 28 and 41% of the molar volumes of lithium and sodium, indicating that there occurs considerable relaxation inward on a vacancy by the nearest- and perhaps next-nearest-neighbor atoms of the vacancy. In addition, the experimental values are found to be in excellent agreement with a dynamical theory of diffusion which predicts that corresponding activation parameters for diffusion and melting are proportional. In both metals, the behavior of lnD is satisfactorily accounted for in terms of a single variable, the reduced melting temperature TmT.

References (29)

  1. D. Lazarus, Advances in Solid-State Physics, edited by F. Seitz and D. Turnbull (Academic Press Inc., New York, 1960), Vol. 10, p. 71
  2. N. H. Nachtrieb, J. A. Weil, E. Catalano, and A. W. Lawson, J. Chem. Phys. 20, 1189 (1952)
  3. N. H. Nachtrieb, H. A. Resing, and S. A. Rice, J. Chem. Phys. 31, 135 (1959)
  4. C. T. Tomizuka, Report of the Lake George Conference on Very High Pressure (John Wiley & Sons, Inc., New York, 1961)
  5. R. E. Hoffman, J. B. Hudson, J. S. Kouvel, W. H. Meikeljohn- D. S. Rodbell, and R. H. Wilson, U. S. Air Force, Wright-Patterson Air Force Base, Air Research and Development Command, Air Force Research Division, Aeronautical Research Laboratory, ARL Technical Report 60-321, 1960 (unpublished)
  6. R. M. Emrick, Phys. Rev. 122, 1720 (1961)
  7. L. Tewordt, Phys. Rev. 109, 61 (1958)
  8. E. L. Hahn, Phys. Rev. 80, 580 (1950)
  9. D. F. Holcomb and R. E. Norberg, Phys. Rev. 98, 1074 (1955)
  10. S. A. Rice and N. H. Nachtrieb, J. Chem. Phys. 31, 139 (1959)
  11. T. Liu and H. Drickamer, J. Chem. Phys. 22, 312 (1954)
  12. S. W. Kurnick, J. Chem. Phys. 20, 219 (1952)
  13. C. B. Pierce, Phys. Rev. 123, 744 (1961)
  14. D. W. McCall, D. C. Douglass, and E. W. Anderson, Phys. Fluids 2, 87 (1959)
  15. G. B. Benedek and T. Kushida, J. Phys. Chem. Solids 15, 241 (1958)
  16. N. Bloembergen, E. M. Purcell, and R. V. Pound, Phys. Rev. 73, 679 (1948)
  17. [R. Kubo and K. Tomita, J. Phys. Soc. Japan 9, 888 (1954)]
  18. N. H. Nachtrieb, J. Petit, and J. Wehrenberg, J. Chem. Phys. 26, 106 (1957)
  19. J. C. Buchta, H. S. Gutowsky, and D. E. Woessner, Rev. Sci. Instr. 29, 55 (1958)
  20. G. B. Benedek and E. M. Purcell, J. Chem. Phys. 22, 2003 (1954)
  21. R. I. Beecroft and C. A. Swenson, J. Phys. Chem. Solids 18, 329 (1961)
  22. R. E. Norberg and C. P. Slichter, Phys. Rev. 83, 1074 (1951)
  23. N. H. Nachtrieb, E. Catalano, and J. A. Weil, J. Chem. Phys. 20, 1185 (1952)
  24. P. W. Bridgman, The Physics of High Pressures (G. Bell & Sons, Ltd., London, 1952)
  25. H. C. Torrey, Phys. Rev. 96, 690 (1954)
  26. H. Endo, J. Inst. Metals 30, 121 (1923)
  27. L. Losana, Gazz. chim. italal. 68, 836 (1938)
  28. F. Sauerwald, Z. Metallk. 14, 457 (1922)
  29. H. A. Resing and N. H. Nachtrieb, J. Phys. Chem. Solids 21, 40 (1961)

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation