In the close coupling (CC) approximation the total wave function of the
electron-ion system
is represented as
where is the target ion wave function in a specific state
Si
Li,
is the wave function for the free electron,
and
are short range correlation functions for the bound
(e + ion) system.
Accurate
CC calculations of atomic processes require, first of all,
a good representation of the target ion. For complex ions an accurate
representation
must include a large number of correlation configurations. However,
in order for the computations to be computationally tractable,
the configuration expansion must be carefully and economically chosen.
The CC expansion for this calculation includes
31 LS terms of the target ion Fe V.
The atomic structure code
SUPERSTRUCTURE (Eissner etal. 1974; Eissner 1991) was used to
compute eigenfunctions for the 31 states of the Fe V target ion dominated
by ,
, and
. Table 1 (click here) presents
the complete list of configurations included in the target, as well as a
comparison between the calculated target term energies and the
observed energies, averaged over the fine structure,
taken from Sugar & Corliss (1985).
The agreement between the energies is very good; in all but six cases
the agreement with the experimental values is within
2%. The overall
agreement is better than 4%.
Another indicator of the
accuracy of the target representation is the good agreement between the
length and the
velocity oscillator strengths (f-values),
which for the present case is typically about 10% (for a complicated
atomic system such as Fe IV it is to difficult to achieve higher
accuracy for LS f-values).
Level | ![]() | ![]() | Level | ![]() | ![]() | |||||
1 | ![]() | ![]() | 0.000000 | 0.00000 | 17 | ![]() | ![]() | 2.12336 | 2.161109 | |
2 | ![]() | ![]() | 0.227038 | 0.232252 | 18 | ![]() | ![]() | 2.33251 | 2.355847 | |
3 | ![]() | ![]() | 0.223059 | 0.259441 | 19 | ![]() | ![]() | 2.35148 | 2.386004 | |
4 | ![]() | ![]() | 0.237769 | 0.261593 | 20 | ![]() | ![]() | 2.34905 | 2.419861 | |
5 | ![]() | ![]() | 0.267818 | 0.309157 | 21 | ![]() | ![]() | 2.36577 | 2.391652 | |
6 | ![]() | ![]() | 0.327553 | 0.379240 | 22 | ![]() | ![]() | 2.36838 | 2.397309 | |
7 | ![]() | ![]() | 0.561290 | 0.618696 | 23 | ![]() | ![]() | 2.40378 | 2.440669 | |
8 | ![]() | ![]() | 0.560546 | 0.618706 | 24 | ![]() | ![]() | 2.42943 | 2.469158 | |
9 | ![]() | ![]() | 1.70206 | 1.695583 | 25 | ![]() | ![]() | 2.49342 | 2.534489 | |
10 | ![]() | ![]() | 1.78024 | 1.782194 | 26 | ![]() | ![]() | 2.51746 | 2.556067 | |
11 | ![]() | ![]() | 1.86264 | 1.874768 | 27 | ![]() | ![]() | 2.50752 | 2.551853 | |
12 | ![]() | ![]() | 1.89927 | 1.910388 | 28 | ![]() | ![]() | 2.52243 | 2.558687 | |
13 | ![]() | ![]() | 1.93610 | 1.963195 | 29 | ![]() | ![]() | 2.54016 | 2.585237 | |
14 | ![]() | ![]() | 1.94802 | 1.975859 | 30 | ![]() | ![]() | 2.54951 | 2.597140 | |
15 | ![]() | ![]() | 1.96486 | 1.984966 | 31 | ![]() | ![]() | 2.60523 | 2.623293 | |
16 | ![]() | ![]() | 1.96974 | 1.985141 |
Spectroscopic:
,
,
.
Correlation:
,
,
,
,
,
,
,
,
,
.
: 0.92092(1s), 1.12967(2s), 1.30081(2p), 1.30177(3s), 1.10895(3p),
1.08238(3d), 1.08360(4s), 1.08238(4p), 1.19316(4d).