All JournalsPhysics Magazine

Export citation

Export citation

Choose format for download:

Download Citation
  • Access by Xinjiang University

The Experimental Verification of the Quantum-Mechanical Dispersion Theory by Reflection and Diffuse Scattering of X-Rays from Zinc

W. A. Bruce

  • Wayman Crow Hall of Physics, Washington University, St. Louis, Missouri

Phys. Rev. 53, 802 – Published 15 May, 1938

DOI: https://doi.org/10.1103/PhysRev.53.802

Abstract

Hönl used his dispersion theory to develop a formula for the x-ray scattering power of an atom for wave-lengths near the absorption edge. He expressed his formula as the difference Δf between his value and f calculated by some method such as that of Hartree. In this paper it is shown that the F values obtained in the powder crystal experiments of Brindley, Wollan and Harvey, and Miller may be used to verify this formula when they are corrected by the proper temperature factor given by recent experiments in diffuse scattering. The diffuse scattering experiment also gives f values which may be used to verify the Hönl theory. It is shown that all existing data on the f values of zinc are in good agreement when they have been corrected by the Jauncey and Bruce temperature factor and the Hönl Δf. A working formula for Hönl's Δf for any element and for any wave-length is given together with a table of theoretical values of Δf for zinc. From a consideration of all experimental results for zinc a set of f values has been constructed and these are given in a table. This table shows that there is electron distortion and reasons are advanced for believing that the distortion of the electron atmosphere extends deeper into the atom than the valence electrons.

References (19)

  1. D. R. Hartree, Proc. Camb. Phil. Soc. 24, 89 (1928)
  2. H. Hönl, Ann. d. Physik 18, 625 (1933)
  3. J. C. Slater, Rev. Mod. Phys. 6, 209 (1934)
  4. C. Zener, Phys. Rev. 48, 573 (1935)
  5. W. Scharwächter, Physik. Zeits. 38, 165 (1937)
  6. C. Zener and G. E. M. Jauncey, Phys. Rev. 49, 17 (1936)
  7. C. Zener, Phys. Rev. 49, 122 (1936)
  8. I. Waller, Zeits. f. Physik 51, 213 (1928)
  9. H. Hönl, Zeits. f. Physik 84, 1 (1933)
  10. A. H. Compton and S. K. Allison, X-Rays in Theory and Experiment, p. 292
  11. A. A. Rusterholtz, Zeits. f. Physik 82, 538 (1933)
  12. G. W. Brindley, Phil. Mag. 21, 790 (1936)
  13. E. O. Wollan and G. G. Harvey, Phys. Rev. 51, 1054 (1937)
  14. R. D. Miller, Phys. Rev. 51, 959 (1937)
  15. W. A. Bruce, Rev. Sci. Inst. 8, 451 (1937)
  16. G. E. M. Jauncey and W. A. Bruce, Phys. Rev. 50, 408 (1936)
  17. G. E. M. Jauncey and W. A. Bruce, Phys. Rev. 51, 1068 (1937)
  18. R. Courant and D. Hilbert, Methoden der Mathematischen Physik, p. 97
  19. James and Brindley, Phil. Mag. 7, 81 (1931)

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation