Abstract
If
P
N
(nl; r)
is the
(nl)
wave function for an electron in an atom of atomic number
N
, and
P
H
(nl; r)
is the corresponding hydrogen wave function, then, for a given configuration and large
N
N
-1/2
P
N
(nl; r)
=
P
H
(nl; Nr)
+ (1/
N
)
Q(nl; Nr)
+ (1/
N
2
)
R(nl; Nr)
+
O
(1/
N
3
). The equations for the functions
R(nl; Nr)
have been set up and solved for the configurations whose outer groups are (2
p
)
6
, (3
s
)
2
, (3
p
)
6
, (3
d
)
5
and (3
d
)
10
. From the solutions the limiting slope of a screening number
σ
(
nl
) as a function of the mean radius
r̄
has been computed for
r̄
= 0. It was found that the variation with respect to
r̄
of
σ
(3
s
) and
σ
(3
p
) of the (3
d
)
10
configuration was far from linear. Plots of
σ
(
nl
) as functions of
r̄
have been drawn more accurately than was possible previously. As a result the estimation of wave functions using a process of interpolation will be more accurate as well.
Reference4 articles.
1. Proc. Roy;Froese C.;Soc. A,1957
2. Wave functions for the normal states of Ne+3 and Ne+4
3. The interpolation of atomic wave functions
4. ! Piper W. W. 1957 Bull. Amer. Phys. Soc. (2) 2 132; Phys. Rev. (to be published).
Cited by
19 articles.
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