Abstract
Results of calculations of the spin-orbit coupling constant for 2
p
, 3
p
, 4
p
, and 3
d
shell ions and atoms are presented. The calculations are based on a theory developed in a previous paper. Excellent agreement of this theory with experiment is obtained for the 2
p
and 3
d
shell ions, while calculations using the familiar < ∂
V
/
r
∂
r
> expression for the coupling constant lie 10 to 20 % too high. The exchange terms discussed in the earlier paper make a contribution to the coupling constant of the same sign and order of magnitude as the ordinary shielding terms. For the 3
p
and 4
p
shell atoms, the calculated coupling constants based on the exact theory and on the < ∂
V
/
r
∂
r
> expression both tend to lie below the experimental values. An explanation for this disagreement is suggested, based on the noded nature of the outer-electron radial wave functions for these atoms. The importance of the residual-spin-other-orbit interaction is discussed, and it is shown that ignoring the form of this interaction may lead to a large variation in the coupling constant within a configuration.
Reference20 articles.
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2. Bethe H . A. & Salpeter E . E . J . 109 42.
3. 1957 Quantum mechanics of one- and two-electron atoms.
4. B e rlin : Springer Verlag.
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