Abstract
A theoretical analysis is given of the three
5
D
terms in the europium ion. The integrals
F
k
are discussed and the importance of
F
6
is emphasized. Values of
F
4
/
F
2
and
F
6
/
F
2
are calculated for a hydrogenic 4
f
eigenfunction, and evidence from the praseodymium and gadolinium ions suggests it is reasonable to use these values in the case of europium. A state in
L, S, L
2
,
S
2
quantization is defined in terms of the determinantal product states of 4
f
one-electron states, and this enables the properties of the
5
D
terms to be found. By calculating the Coulomb energies of the three terms, it is shown that the
5
D
term observed spectroscopically is the lowest of the three. The relative positions of the levels
5
D
0
,
5
D
1
and
5
D
2
that derive from this term are calculated for Russell-Saunders coupling, and a satisfactory fit is obtained with the observed spacings. In addition, the crystal fine structures of
7
F
1
and
5
D
1
are related to each other, and the agreement between experiment and theory is as good as can be expected.
Reference14 articles.
1. Bleaney B. Scovil H. E. D. & Trenam R. S. 1954 Proc. Roy. Soc A 223 15.
2. Condon E. U. & Shortley G. H. 1935 The theory of atomic spectra. Cambridge University Press.
3. Elliott R. J. 1952 Thesis Oxford.
4. Proc. Roy;Elliott R. J.;Soc. A,1953
5. Hellwege A. M. & Hellwege K. H. 1951 Phys. 130 549.
Cited by
53 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献