Approximate Hartree-Type Wave Functions and Matrix Elements for the <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>K</mi></math></span> and <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>L</mi></math></span> Shells of Atoms and Ions

R. E. Meyerott

doi:10.1103/PhysRev.95.72

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Approximate Hartree-Type Wave Functions and Matrix Elements for the $K$ and $L$ Shells of Atoms and Ions

R. E. Meyerott^*

Argonne National Laboratory, Lemont, Illinois

^*Now with The Rand Corporation, 1700 Main Street, Santa Monica, California.

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Phys. Rev. 95, 72 – Published 1 July, 1954

DOI: https://doi.org/10.1103/PhysRev.95.72

Abstract

Perturbation effects of electron screening on wave functions and dipole matrix elements of $K$ and $L$ electrons of ions or inner shells of atoms have been computed to order $Z^{- 1}$ . Some screening effects of this order have also been computed for the $M$ shell. Some of the terms of order $Z^{- 2}$ have also been evaluated and found to be small compared with those neglected in this paper. The dipole matrix elements have been used to compute x-ray mass absorption coefficients and the comparison with the experimental values is discussed.

References (13)

H. Hall, Revs. Modern Phys. 8, 358 (1936)
Morse, Young, and Hawrwitz, Phys. Rev. 48, 948 (1935) L. Goldberg and A. M. Clogston, 56, 696 (1939)
J. A. Wheeler, Phys. Rev. 43, 258 (1933)
G. W. Pratt, Jr., Phys. Rev. 88, 1217 (1952)
R. E. Meyerott, Argonne National Laboratory Report ANL-5008, 1953 (unpublished)
Omitted endnote
Omitted endnote
E. V. Condon and G. H. Shortley, The Theory of Atomic Spectra (Cambridge University Press, Cambridge, 1950), p. 177
J. C. Slater, Phys. Rev. 36, 57 (1930)
H. Mayer, Los Alamos Report LADC-464 (unpublished)
H. H. Landolt and R. Börnstein, Zalenwerte und Funktionen aus Physik, Chemie. Astronomie (Springer Verlag, Berlin, 1950), sixth edition, Vol. I, pp. 314-316 J. A. Victoreen, J. Appl. Phys. 20, 1141 (1949) R. D. Hill, Proc. Roy. Soc. (London) A161, 284 (1937) H. H. Biermann, Ann. Physik 26, 740 (1936) D. H. Tomboulian and E. M. Pell, Phys. Rev. 83, 1196 (1951)
Gladys R. White, National Bureau of Standards Report NBSR-1003 (unpublished)
Omitted endnote

[c1] H. Hall, Revs. Modern Phys. 8, 358 (1936)

[c2] Morse, Young, and Hawrwitz, Phys. Rev. 48, 948 (1935) L. Goldberg and A. M. Clogston, 56, 696 (1939)

[c3] J. A. Wheeler, Phys. Rev. 43, 258 (1933)

[c4] G. W. Pratt, Jr., Phys. Rev. 88, 1217 (1952)

[c5] R. E. Meyerott, Argonne National Laboratory Report ANL-5008, 1953 (unpublished)

[c6] Omitted endnote

[c7] Omitted endnote

[c8] E. V. Condon and G. H. Shortley, The Theory of Atomic Spectra (Cambridge University Press, Cambridge, 1950), p. 177

[c9] J. C. Slater, Phys. Rev. 36, 57 (1930)

[c10] H. Mayer, Los Alamos Report LADC-464 (unpublished)

[c11] H. H. Landolt and R. Börnstein, Zalenwerte und Funktionen aus Physik, Chemie. Astronomie (Springer Verlag, Berlin, 1950), sixth edition, Vol. I, pp. 314-316 J. A. Victoreen, J. Appl. Phys. 20, 1141 (1949) R. D. Hill, Proc. Roy. Soc. (London) A161, 284 (1937) H. H. Biermann, Ann. Physik 26, 740 (1936) D. H. Tomboulian and E. M. Pell, Phys. Rev. 83, 1196 (1951)

[c12] Gladys R. White, National Bureau of Standards Report NBSR-1003 (unpublished)

[c13] Omitted endnote

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Approximate Hartree-Type Wave Functions and Matrix Elements for the $K$ and $L$ Shells of Atoms and Ions

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Approximate Hartree-Type Wave Functions and Matrix Elements for the K and L Shells of Atoms and Ions

Abstract

References (13)

Approximate Hartree-Type Wave Functions and Matrix Elements for the $K$ and $L$ Shells of Atoms and Ions