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Hydrogen‐like relativistic corrections for electric and magnetic hyperfine integrals
Author(s) -
Pyykkö P.,
Pajanne E.,
Inokuti Mitio
Publication year - 1973
Publication title -
international journal of quantum chemistry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.484
H-Index - 105
eISSN - 1097-461X
pISSN - 0020-7608
DOI - 10.1002/qua.560070415
Subject(s) - hyperfine structure , quadrupole , atomic physics , magnetic dipole , physics , dipole , quadrupole magnet , hydrogen , relativistic quantum chemistry , quantum electrodynamics , quantum mechanics
Expressions are derived for the n ‐dependent, hydrogen‐like relativistic corrections to the magnetic dipole and electric quadrupole radial hyperfine integrals of an arbitrary atomic state. Good agreement has been obtained earlier between these corrections and the relativistic Hartree‐Fock results for s 1/2 states. The agreement remains good for the p 1/2 states. For the p 3/2 states in heavier atoms the hydrogenic corrections still reproduce the Hartree‐Fock trend. For the higher l values the agreement is poor. Numerical tables are given for 1 ≤ Z ≤ 100 for the s 1/2 , p 1/2 , and p 3/2 magnetic dipole cases and the p 3/2 quadrupole case.