Table I
Parameters for 4f 2 .
Parameter Diagonalization (cm−1 ) l.s. 1 (cm−1 ) l.s. 2 (1 S 0 discarded) (cm−1 ) l.s. 3 (1 S 0 discarded, E 2 , E 3 fixed) (cm−1 ) E 0 4320 5087 ±437 4720 ±33 4692±59 E 1 3166 3070 ± 79 3642 ±21 3694±33 E 2 17.9 20.8± 1.6 18.5± 0.1 fixed E 3 414 452 ± 33 417 ± 3 fixed α 50 33 ± 15 28 ± 1 27±2 ζ f 630 607 ± 83 554 ± 6 547±13 rms error (in cm−1 ) 488 34 75 in percent of configuration width 1.5% 0.2% 0.4%
Table II
Energy levels and percentage composition of 4f 2 .
l.s. 1 l.s. 2 (1 S 0 discarded) l.s. 3 (1 S 0 discarded E 2 , E 3 fixed) J Exp. name Percentage composition Obs. (cm−1 ) Calc. (cm−1 ) O–C (cm−1 ) Calc. (cm−1 ) O–C (cm−1 ) Calc. (cm−1 ) O–C (cm−1 ) 4 3 H 95% 3 H +4% 1 G 0 −80 80 −20 20 −1 1 5 100% 3 H 1527 1706 −179 1523 4 1507 20 6 99% 3 H 3132 3487 −355 3154 −22 3119 13 2 3 F 99% 3 F 3763 4004 −241 3758 5 3740 23 3 100% 3 F 4765 5179 −414 4777 −12 4744 21 4 52% 3 F +44% 1 G 5006 4451 555 5038 −32 5151 −145 4 1 G 56% 1 G +43% 3 F 7120 6876 244 7082 38 7142 −22 2 1 D 94% 1 D 12 836 12 474 362 12 836 0 12 767 69 6 1 I 99% 1 I 17 421 17 275 146 17 421 0 17 401 20 0 100% 3 P 19 139 17 838 17 725 1 100% 3 P 19 765 18 269 18 135 2 96% 3 P 20 571 19 051 18 907 0 1 S 100% 1 S 32 839 33 036 −197 37 652 38 073
Table III
Parameters for 4f 6p .
Parameter Diagonalization (cm−1 ) l.s. (cm−1 ) F 0 51 790 51 606±145 F 2 65 64± 24 G 2 12 −6± 6 G 4 6 4± 11 ζ f 645 593± 71 ζ p 2200 2060±217 rms error (in cm−1 ) 394 in percent of configuration width 6.2%
Table IV
Energy levels and percentage composition of 4f 6p .
J Exp. name Percentage composition in j -j coupling Observed (cm−1 ) Calculated (cm−1 ) O–C (cm−1 ) 3
(
F
2
2
1
2
)
p
0
1
2
99
%
(
F
2
2
1
2
)
p
0
1
2 48 267 48 465 −198 2
(
F
2
2
1
2
)
p
0
1
2
94
%
(
F
2
2
1
2
)
p
0
1
2
+
5
%
(
F
2
2
1
2
)
p
1
1
2 48 405 48 060 345 4
(
F
2
3
1
2
)
p
0
1
2
94
%
(
F
2
3
1
2
)
p
0
1
2
+
3
%
(
F
2
2
1
2
)
p
1
1
2 50 058 50 504 −446 3
(
F
2
3
1
2
)
p
0
1
2
92
%
(
F
2
3
1
2
)
p
0
1
2
+
4
%
(
F
2
2
1
2
)
p
1
1
2
+
4
%
(
F
2
3
1
2
)
p
1
1
2 50 375 50 062 313 3
(
F
2
2
1
2
)
p
1
1
2
94
%
(
F
2
2
1
2
)
p
1
1
2
+
4
%
(
F
2
3
1
2
)
p
0
1
2 51 262 51 093 169 4
(
F
2
2
1
2
)
p
1
1
2
88
%
(
F
2
2
1
2
)
p
1
1
2
+
9
%
(
F
2
3
1
2
)
p
1
1
2 51 289 51 619 −330 2
(
F
2
2
1
2
)
p
1
1
2
94
%
(
F
2
2
1
2
)
p
1
1
2
+
5
%
(
F
2
2
1
2
)
p
0
1
2 51 641 51 467 174 1
(
F
2
2
1
2
)
p
1
1
2
100
%
(
F
2
2
1
2
)
p
1
1
2 51 932 52 090 −158 4
(
F
2
3
1
2
)
p
1
1
2
88
%
(
F
2
3
1
2
)
p
1
1
2
+
7
%
(
F
2
2
1
2
)
p
1
1
2
+
4
%
(
F
2
3
1
2
)
p
0
1
2 52 441 52 843 −402 3
(
F
2
3
1
2
)
p
1
1
2
94
%
(
F
2
3
1
2
)
p
1
1
2
+
4
%
(
F
2
3
1
2
)
p
0
1
2 53 616 53 462 154 5
(
F
2
3
1
2
)
p
1
1
2
100
%
(
F
2
3
1
2
)
p
1
1
2 54 194 54 115 79 2
(
F
2
3
1
2
)
p
1
1
2
100
%
(
F
2
3
1
2
)
p
1
1
2 54 556 54 256 300
Table V
Parameters for 4f 7p .
Parameter Diagonalization (cm−1 ) l.s. (cm−1 ) F 0 103 018 103 028 ±11 F 2 30 32 ± 2 G 2 5 6.2± 0.5 G 4 4 4.9± 0.8 ζ f 654 658 ± 5 ζ p 915 868 ±17 rms error (in cm−1 ) 31 in percent of configuration width 0.4%
Table VI
Energy levels and percentage composition of 4f 7p .
J Exp. name Percentage composition in j -j coupling Observed (cm−1 ) Calculated (cm−1 ) O–C (cm−1 ) 3
(
F
2
2
1
2
)
p
0
1
2
98
%
(
F
2
2
1
2
)
p
0
1
2 100 663 100 609 54 2
(
F
2
2
1
2
)
p
0
1
2
94
%
(
F
2
2
1
2
)
p
0
1
2
+
6
%
(
F
2
2
1
2
)
p
1
1
2 100 734 100 768 −34 3
(
F
2
2
1
2
)
p
1
1
2
98
%
(
F
2
2
1
2
)
p
1
1
2 101 822 101 793 29 2
(
F
2
2
1
2
)
p
1
1
2
94
%
(
F
2
2
1
2
)
p
1
1
2
+
6
%
(
F
2
2
1
2
)
p
0
1
2 102 174 102 162 12 4
(
F
2
2
1
2
)
p
1
1
2
98
%
(
F
2
2
1
2
)
p
1
1
2 102 222 102 205 17 1
(
F
2
2
1
2
)
p
1
1
2
100
%
(
F
2
2
1
2
)
p
1
1
2 102 369 102 340 29 3
(
F
2
3
1
2
)
p
0
1
2
94
%
(
F
2
3
1
2
)
p
0
1
2
+
4
%
(
F
2
3
1
2
)
p
1
1
2 102 961 102 971 −10 4
(
F
2
3
1
2
)
p
0
1
2
92
%
(
F
2
3
1
2
)
p
0
1
2
+
5
%
(
F
2
3
1
2
)
p
1
1
2 103 080 103 082 −2 4
(
F
2
3
1
2
)
p
1
1
2
94
%
(
F
2
3
1
2
)
p
1
1
2
+
5
%
(
F
2
3
1
2
)
p
0
1
2 104 289 104 327 −38 3
(
F
2
3
1
2
)
p
1
1
2
94
%
(
F
2
3
1
2
)
p
1
1
2
+
6
%
(
F
2
3
1
2
)
p
0
1
2 104 293 104 319 −26 5
(
F
2
3
1
2
)
p
1
1
2
100
%
(
F
2
3
1
2
)
p
1
1
2 104 351 104 343 −8 2
(
F
2
3
1
2
)
p
1
1
2
100
%
(
F
2
3
1
2
)
p
1
1
2 104 841 104 850 −10
Table VII
Parameters for 4f 5f .
Parameter Diagonalization (cm−1 ) l.s. (cm−1 ) F 0 101 500 101 544 ±12 F 2 14 14 ± 0.4 F 4 1.6 1.3± 0.2 F 6 0.3 0.1± 0.0 G 0 1190 1175 ±14 G 2 8 6.8± 0.5 G 4 0 0.8± 0.3 G 6 0 0.1± 0.0 ζ 4 f 654 639 ± 7 ζ 5 f 27 26 ± 8 rms error (in cm−1 ) 39 in percent of configuration width 0.7%
Table VIII
Energy levels and percentage composition of 4f 5f .
J Exp. name Percentage composition in L -S couplinga Percentage composition in j -l coupling Observed (cm−1 ) Calculated (cm−1 ) O–C (cm−1 ) 3 3 G 36% (1 F )† +59% 3 G
79
%
2
1
2
[
3
1
2
]
+
21
%
2
1
2
[
2
1
2
] 98 914 98 918 −4 5 1 H 67% 3 I +27% 1 H
80
%
2
1
2
[
5
1
2
]
+
20
%
2
1
2
[
4
1
2
] 99 178 99 140 38 1 3 D 52% 3 D +45% 1 P
85
%
2
1
2
[
1
1
2
]
+
15
%
2
1
2
[
0
1
2
] 99 248 99 285 −37 4 3 G 83% 3 G
77
%
2
1
2
[
3
1
2
]
+
13
%
2
1
2
[
4
1
2
] 99 577 99 582 −5 5 3 I 40% 1 H +27% 3 I
69
%
2
1
2
[
4
1
2
]
+
20
%
2
1
2
[
5
1
2
]
+
10
%
3
1
2
[
5
1
2
] 99 604 99 599 5 3 1 F 29% (3 G )† +30% 3 D +23% 1 F +18% 3 F
67
%
2
1
2
[
2
1
2
]
+
19
%
2
1
2
[
3
1
2
]
+
12
%
3
1
2
[
3
1
2
] 99 708 99 698 10 2 3 D 86% 3 D
56
%
2
1
2
[
1
1
2
]
+
27
%
2
1
2
[
2
1
2
] 99 894 99 870 24 6 3 I 88% 3 I
83
%
2
1
2
[
5
1
2
] 100 016 99 987 29 1 3 S 23% (1 P )† +33% 3 D +32% 3 S +12% 3 P
62
%
2
1
2
[
0
1
2
]
+
25
%
3
1
2
[
1
1
2
] 100 190 100 302 −112 4 3 H 77% 3 H +21% 1 G
86
%
2
1
2
[
4
1
2
]
+
14
%
2
1
2
[
3
1
2
] 100 814 100 814 0 5 3 G 77% 3 G +23% 1 H
83
%
3
1
2
[
4
1
2
]
+
16
%
3
1
2
[
5
1
2
] 101 178 101 193 −15 3 3 D 55% 3 D +38% 1 F
66
%
3
1
2
[
2
1
2
]
+
34
%
3
1
2
[
3
1
2
] 101 344 101 350 −6 2 3 F 69% 3 F +25% 1 D
72
%
2
1
2
[
2
1
2
]
+
23
%
2
1
2
[
1
1
2
] 101 354 101 323 31 7 3 I 100% 3 I
100
%
3
1
2
[
6
1
2
] 101 565 101 551 14 1 1 P 50% 3 S +31% 1 P +13% 3 D +6% 3 P
46
%
3
1
2
[
1
1
2
]
+
41
%
3
1
2
[
0
1
2
] 101 647 101 589 58 5 3 H 83% 3 H
72
%
3
1
2
[
5
1
2
]
+
16
%
3
1
2
[
4
1
2
]
+
10
%
2
1
2
[
4
1
2
] 102 409 102 410 −1 0 3 P 81% 3 P +19% 1 S
94
%
2
1
2
[
0
1
2
] 102 502 102 500 2 4 3 F 42% 1 G +24% 3 F +17% 3 G
74
%
3
1
2
[
4
1
2
]
+
14
%
3
1
2
[
3
1
2
] 102 566 102 577 −11 3 3 F 83% 3 F
55
%
3
1
2
[
3
1
2
]
+
32
%
3
1
2
[
2
1
2
]
+
11
%
2
1
2
[
2
1
2
] 102 649 102 665 −16 6 3 H 83% 3 H
77
%
3
1
2
[
5
1
2
]
+
16
%
3
1
2
[
6
1
2
] 102 898 102 904 −6 2 1 D 35% (1 D )† +36% 3 P +19% 3 F +10% 3 D
62
%
3
1
2
[
2
1
2
]
+
20
%
2
1
2
[
1
1
2
] 103 231 103 247 −16 4 1 G 67% 3 F +30% 1 G
83
%
3
1
2
[
3
1
2
]
+
17
%
3
1
2
[
4
1
2
] 103 351 103 343 8 1 3 P 85% 3 P
58
%
3
1
2
[
0
1
2
]
+
29
%
3
1
2
[
1
1
2
] 103 613 103 595 18 6 1 I 81% 1 I +14% 3 H
67
%
3
1
2
[
6
1
2
]
+
22
%
3
1
2
[
5
1
2
] 103 676 103 674 2 2 3 P 55% 3 P +41% 1 D
74
%
3
1
2
[
1
1
2
]
+
25
%
3
1
2
[
2
1
2
] 104 177 104 189 −12 0 81% 1 S +19% 3 P
94
%
3
1
2
[
0
1
2
] 105 383
a (⋯)† designation was assigned to term other than the largest component.
Table IX
Parameters for 4f 6f .
Parameter Diagonalization (cm−1 ) l.s. (cm−1 ) F 0 124 170 124 187 ±5 F 2 8 7.5±0.2 F 4 1.3 0.6±0.1 F 6 0.1 0.1±0.0 G 0 650 653 ±6 G 2 3 4 ±0.2 G 4 0 0.5±0.1 G 6 0 0.1±0.0 ζ 4 f 635 636 ±2 ζ 6 f 20 18 ±2 rms error (in cm−1 ) 13 in percent of configuration width 0.3%
Table X
Energy levels and percentage composition of 4f 6f .
J Exp. name Percentage composition in j -l coupling Observed (cm−1 ) Calculated (cm−1 ) O–C (cm−1 ) 3
(
F
2
2
1
2
)
[
3
1
2
]
79
%
2
1
2
[
3
1
2
]
+
21
%
2
1
2
[
2
1
2
] 122 160 122 164 −4 5
[
5
1
2
]
75
%
2
1
2
[
5
1
2
]
+
25
%
2
1
2
[
4
1
2
] 122 289 122 288 1 1
88
%
2
1
2
[
1
1
2
] 122 341 5
[
4
1
2
]
70
%
2
1
2
[
4
1
2
]
+
25
%
2
1
2
[
5
1
2
] 122 611 122 619 −8 4
[
3
1
2
]
80
%
2
1
2
[
3
1
2
] 122 629 122 630 −1 3
[
2
1
2
]
74
%
2
1
2
[
2
1
2
]
+
20
%
2
1
2
[
3
1
2
] 122 689 122 691 −2 2
[
1
1
2
]
59
%
2
1
2
[
1
1
2
]
+
32
%
2
1
2
[
2
1
2
] 122 808 122 804 4 6
[
5
1
2
]
92
%
2
1
2
[
5
1
2
] 122 870 122 871 −1 1
[
0
1
2
]
83
%
2
1
2
[
0
1
2
] 122 980 122 982 −2 4
[
4
1
2
]
83
%
2
1
2
[
4
1
2
] 123 202 123 214 −12 2
[
2
1
2
]
67
%
2
1
2
[
2
1
2
]
+
31
%
2
1
2
[
1
1
2
] 123 555 123 527 28 0
99
%
2
1
2
[
0
1
2
] 124 168 5
(
F
2
3
1
2
)
[
4
1
2
]
80
%
3
1
2
[
4
1
2
]
+
20
%
3
1
2
[
5
1
2
] 124 433 124 427 6 3
[
2
1
2
]
64
%
3
1
2
[
2
1
2
]
+
36
%
3
1
2
[
3
1
2
] 124 510 124 509 1 7
[
6
1
2
]
100
%
3
1
2
[
6
1
2
] 124 610 124 603 7 1
66
%
3
1
2
[
1
1
2
]
+
31
%
3
1
2
[
0
1
2
] 124 661 5
[
5
1
2
]
80
%
3
1
2
[
5
1
2
]
+
20
%
3
1
2
[
4
1
2
] 125 006 125 009 −3 4
[
4
1
2
]
74
%
3
1
2
[
4
1
2
]
+
20
%
3
1
2
[
3
1
2
] 125 091 125 082 9 3
[
3
1
2
]
60
%
3
1
2
[
3
1
2
]
+
35
%
3
1
2
[
2
1
2
] 125 132 125 131 1 6
[
5
1
2
]
62
%
3
1
2
[
5
1
2
]
+
32
%
3
1
2
[
6
1
2
] 125 301 125 311 −10 2
[
2
1
2
]
74
%
3
1
2
[
2
1
2
]
+
18
%
3
1
2
[
1
1
2
] 125 400 125 410 −10 1
67
%
3
1
2
[
0
1
2
]
+
27
%
3
1
2
[
1
1
2
] 125 550 4
[
3
1
2
]
80
%
3
1
2
[
3
1
2
]
+
20
%
3
1
2
[
4
1
2
] 125 616 125 605 11 6
[
6
1
2
]
59
%
3
1
2
[
6
1
2
]
+
36
%
3
1
2
[
5
1
2
] 125 710 125 724 −14 2
[
1
1
2
]
77
%
3
1
2
[
1
1
2
]
+
21
%
3
1
2
[
2
1
2
] 126 053 126 054 −1 0
99
%
3
1
2
[
0
1
2
] 126 735
Table XI
Parameters for 4f 5d .
Parameter Diagonalization (cm−1 ) l.s. (cm−1 ) F 0 9406 9408 ± 56 F 2 177 176 ± 5 F 4 21 21 ± 1 G 1 300 297 ± 7 G 3 38 39 ± 3 G 5 5 4.8± 0.4 ζ f 690 669 ± 51 ζ d 700 777 ±102 rms error (in cm−1 ) 226 in percent of configuration width 1.5%
Table XII
Energy levels and percentage composition of 4f 5d .
J Exp. name Percentage composition in L -S couplinga Observed (cm−1 ) Calculated (cm−1 ) O–C (cm−1 ) 4 1 G 46% (1 G )† +49% 3 H 3277 3452 −175 2 3 F 77% 3 F +22% 1 D 3822 3910 −88 4 3 H 49% 3 H +40% 1 G 5127 5095 32 3 3 F 86% 3 F +11% 3 G 5502 5581 −79 3 3 G 85% 3 G +12% 3 F 6265 5945 320 5 3 H 100% 3 H / 6361 6019 342 2 1 D 69% 1 D +22% 3 F 6571 7030 −459 4 3 F 64% 3 F +30% 3 G 7150 7339 −189 4 3 G 67% 3 G +20% 3 F 7837 7734 103 6 3 H 100% 3 H 8350 8159 191 1 3 D 98% 3 D 8922 8851 71 5 3 G 98% 3 G 9325 9187 138 2 3 D 92% 3 D 9900 9948 −48 3 74% 3 D +25% 1 F 10 127 10 089 38 0 3 P 100% 3 P 11 577 11 604 −27 1 94% 3 P 11 613 11 622 −9 3 1 F 71% 1 F +26% 3 D 12 501 12 632 −131 2 3 P 96% 3 P 12 642 12 699 −57 5 1 H 98% 1 H 16 152 16 174 −22 1 1 P 94% 1 P 18 444 18 397 47
a (⋯)† designation was assigned to term other than the largest component.
Table XIII
Parameters for 4f 6d .
Parameter Diagonalization (cm−1 ) l.s. (cm−1 ) F 0 91 500 91 509 ±36 F 2 31 31 ± 3 F 4 2.5 2.5± 1 G 1 38 38 ± 5 G 3 2.5 1.7± 2.2 G 5 1.3 1.3± 0.4 ζ f 642 642 ±20 ζ d 243 239 ±36 rms error (in cm−1 ) 139 in percent of configuration width 3.2%
Table XIV
Energy levels and percentage composition of 4f 6d .
J Exp. name Percentage composition in j -j coupling Percentage composition in j -l coupling Percentage composition in L -S couplinga Observed (cm−1 ) Calculated (cm−1 ) O–C (cm−1 ) 2
(
F
2
2
1
2
)
[
2
1
2
]
92
%
(
F
2
2
1
2
)
d
1
1
2
86
%
(
F
2
2
1
2
)
[
2
1
2
]
+
13
%
(
F
2
2
1
2
)
[
1
1
2
] 77% 3 F +20% 1 D 89 350 89 529 −179 4
[
4
1
2
]
94
%
(
F
2
2
1
2
)
d
1
1
2
71
%
(
F
2
2
1
2
)
[
4
1
2
]
+
28
%
(
F
2
2
1
2
)
[
3
1
2
] 64% 3 H +30% 1 G 89 652 89 476 176 3
[
3
1
2
]
98
%
(
F
2
2
1
2
)
d
1
1
2
86
%
(
F
2
2
1
2
)
[
3
1
2
]
+
14
%
(
F
2
2
1
2
)
[
2
1
2
] 80% 3 G +17% 3 F 89 744 89 735 9 4
94
%
(
F
2
2
1
2
)
d
2
1
2
70
%
(
F
2
2
1
2
)
[
3
1
2
]
+
30
%
(
F
2
2
1
2
)
[
4
1
2
] 25% (1 G )†+36% 3 G +30% 3 H 90 045 90 044 1 3
[
2
1
2
]
97
%
(
F
2
2
1
2
)
d
2
1
2
85
%
(
F
2
2
1
2
)
[
2
1
2
]
+
14
%
(
F
2
2
1
2
)
[
3
1
2
] 67% 3 F +14% 1 F 90 087 90 151 −64 1
[
1
1
2
]
71
%
(
F
2
2
1
2
)
d
1
1
2
+
27
%
(
F
2
2
1
2
)
d
2
1
2
90
%
(
F
2
2
1
2
)
[
1
1
2
] 88% 3 D 90 145 90 159 −14 2
92
%
(
F
2
2
1
2
)
d
2
1
2
86
%
(
F
2
2
1
2
)
[
1
1
2
]
+
13
%
(
F
2
2
1
2
)
[
2
1
2
] 57% +3 D +21% 1 D 90 224 90 337 −113 5
[
4
1
2
]
92
%
(
F
2
2
1
2
)
d
2
1
2
92
%
(
F
2
2
1
2
)
[
4
1
2
] 76% 3 H +18% 1 H 90 659 90 543 116 1
[
0
1
2
]
72
%
(
F
2
2
1
2
)
d
2
1
2
+
26
%
(
F
2
2
1
2
)
d
1
1
2
90
%
(
F
2
2
1
2
)
[
0
1
2
] 81% 3 P 90 879 90 859 20 0
100
%
(
F
2
2
1
2
)
d
2
1
2
100
%
(
F
2
2
1
2
)
[
0
1
2
] 100% 3 P 90 902 90 855 47 4
(
F
2
3
1
2
)
[
4
1
2
]
98
%
(
F
2
3
1
2
)
d
1
1
2
78
%
(
F
2
3
1
2
)
[
4
1
2
]
+
20
%
(
F
2
3
1
2
)
[
3
1
2
] 59% 3 G +21% 1 G +14% 3 F 91 736 91 699 37 3
[
3
1
2
]
98
%
(
F
2
3
1
2
)
d
1
1
2
55
%
(
F
2
3
1
2
)
[
3
1
2
]
+
43
%
(
F
2
3
1
2
)
[
2
1
2
] 44% 3 D +29% 3 F +20% 1 F 91 955 91 901 54 2
[
2
1
2
]
86
%
(
F
2
3
1
2
)
d
1
1
2
+
12
%
(
F
2
3
1
2
)
d
2
1
2
71
%
(
F
2
3
1
2
)
[
2
1
2
]
+
28
%
(
F
2
3
1
2
)
[
1
1
2
] 26% (1 D )†+40% 3 D +25% 3 P 92 019 92 190 −171 4
[
3
1
2
]
99
%
(
F
2
3
1
2
)
d
2
1
2
80
%
(
F
2
3
1
2
)
[
3
1
2
]
+
20
%
(
F
2
3
1
2
)
[
4
1
2
] 74% 3 F +24% 1 G 92 081 92 127 −46 5
[
4
1
2
]
64
%
(
F
2
3
1
2
)
d
1
1
2
+
34
%
(
F
2
3
1
2
)
d
2
1
2
69
%
(
F
2
3
1
2
)
[
4
1
2
]
+
29
%
(
F
2
3
1
2
)
[
5
1
2
] 71% 3 G +16% 3 H 92 180 92 201 −21 6
[
5
1
2
]
100
%
(
F
2
3
1
2
)
d
2
1
2
100
%
(
F
2
3
1
2
)
[
5
1
2
] 100% 3 H 92 527 92 440 87 3
[
2
1
2
]
99
%
(
F
2
3
1
2
)
d
2
1
2
56
%
(
F
2
3
1
2
)
[
2
1
2
]
+
43
%
(
F
2
3
1
2
)
[
3
1
2
] 48% 1 F +45% 3 D 92 705 92 710 −5 2
[
1
1
2
]
86
%
(
F
2
3
1
2
)
d
2
1
2
+
12
%
(
F
2
3
1
2
)
d
1
1
2
71
%
(
F
2
3
1
2
)
[
1
1
2
]
+
28
%
(
F
2
3
1
2
)
[
2
1
2
] 64% 3 P +31% 1 D 92 795 92 849 −54 5
[
5
1
2
]
65
%
(
F
2
3
1
2
)
d
2
1
2
+
30
%
(
F
2
3
1
2
)
d
1
1
2
63
%
(
F
2
3
1
2
)
[
5
1
2
]
+
31
%
(
F
2
3
1
2
)
[
4
1
2
] 69% 1 H +24% 3 G 93 227 92 963 264 1
[
1
1
2
]
96
%
(
F
2
3
1
2
)
d
2
1
2
96
%
(
F
2
3
1
2
)
[
1
1
2
] 74% 1 P +18% 3 P 93 603 93 745 −142
a (⋯)† designation was assigned to term other than largest component.
Table XV
Parameters for 5d 6p .
Parameter Diagonalization (cm−1 ) l.s. (cm−1 ) F 0 98 675 98 676±29 F 2 377 377± 6 G 1 413 412± 6 G 3 12 12± 1 ζ d 1085 1069±27 ζ p 2200 2203±58 rms error (in cm−1 ) 58 in percent of configuration width 0.6%
Table XVI
Energy levels and percentage composition of 5d 6p .
J Exp. name Percentage composition in L -S coupling Observed (cm−1 ) Calculated (cm−1 ) O–C (cm−1 ) 2 3 F 58% 3 F +37% 1 D 92 635 92 645 −10 1 3 D 88% 3 D 94 509 94 447 62 2 1 D 53% 1 D +41% 3 F 95 827 95 874 −47 3 3 F 92% 3 F 96 022 96 048 −26 2 3 D 94% 3 D 96 376 96 378 −2 3 3 D 83% 3 D +10% 1 F 97 964 97 994 −30 4 3 F 100% 3 F 99 169 99 095 74 1 3 P 79% 3 P +13% 1 P 99 288 99 287 1 0 100% 3 P 99 654 2 3 P 88% 3 P 100 968 100 984 −16 3 1 F 90% 1 F +10% 3 D 102 369 102 374 −5 1 79% 1 P +18% 3 P 103 780
Table XVII
Parameters for 4f 7d .
Parameter Diagonalization (cm−1 ) l.s. (cm−1 ) F 0 119 912 119 910 ±2 F 2 17.5 17.4±0.2 F 4 2.2 2.1±0.1 G 1 17.5 17.2±0.4 G 3 3 3.1±0.1 G 5 0.5 0.5±0.0 ζ f 644 642 ±1 ζ d 90 87 ±3 rms error (in cm−1 ) 9 in percent of configuration width 0.3%
Table XVIII
Energy levels and percentage composition of 4f 7d .
J Exp. name Percentage composition in j -l coupling Percentage composition in j -j coupling Observed (cm−1 ) Calculated (cm−1 ) O–C (cm−1 ) 2
(
F
2
2
1
2
)
[
2
1
2
]
83
%
(
F
2
2
1
2
)
[
2
1
2
]
+
17
%
(
F
2
2
1
2
)
[
1
1
2
]
95
%
(
F
2
2
1
2
)
d
1
1
2 118 291 118 286 5 4
[
4
1
2
]
50
%
(
F
2
2
1
2
)
[
4
1
2
]
+
50
%
(
F
2
2
1
2
)
[
3
1
2
]
81
%
(
F
2
2
1
2
)
d
1
1
2
+
18
%
(
F
2
2
1
2
)
d
2
1
2 118 312 118 314 −2 3
[
3
1
2
]
97
%
(
F
2
2
1
2
)
[
3
1
2
]
88
%
(
F
2
2
1
2
)
d
1
1
2
+
12
%
(
F
2
2
1
2
)
d
2
1
2 118 318 118 313 5 4
50
%
(
F
2
2
1
2
)
[
3
1
2
]
+
50
%
(
F
2
2
1
2
)
[
4
1
2
]
81
%
(
F
2
2
1
2
)
d
2
1
2
+
18
%
(
F
2
2
1
2
)
d
1
1
2 118 477 118 478 −1 3
[
2
1
2
]
97
%
(
F
2
2
1
2
)
[
2
1
2
]
88
%
(
F
2
2
1
2
)
d
2
1
2
+
11
%
(
F
2
2
1
2
)
d
1
1
2 118 588 118 584 4 2
[
1
1
2
]
83
%
(
F
2
2
1
2
)
[
1
1
2
]
+
17
%
(
F
2
2
1
2
)
[
2
1
2
]
95
%
(
F
2
2
1
2
)
d
2
1
2 118 666 118 659 7 1
98
%
(
F
2
2
1
2
)
[
1
1
2
]
56
%
(
F
2
2
1
2
)
d
1
1
2
+
43
%
(
F
2
2
1
2
)
d
2
1
2 118 683 118 683 0 5
[
4
1
2
]
98
%
(
F
2
2
1
2
)
[
4
1
2
]
98
%
(
F
2
2
1
2
)
d
2
1
2 118 794 118 805 −11 0
[
0
1
2
]
100
%
(
F
2
2
1
2
)
[
0
1
2
]
100
%
(
F
2
2
1
2
)
d
2
1
2 119 010 1
98
%
(
F
2
2
1
2
)
[
0
1
2
]
57
%
(
F
2
2
1
2
)
d
2
1
2
+
42
%
(
F
2
2
1
2
)
d
1
1
2 119 043 119 049 −6 4
[
4
1
2
]
86
%
(
F
2
3
1
2
)
[
4
1
2
]
+
14
%
(
F
2
3
1
2
)
[
3
1
2
]
97
%
(
F
2
3
1
2
)
d
1
1
2 120 468 120 469 −1 5
84
%
(
F
2
3
1
2
)
[
4
1
2
]
+
15
%
(
F
2
3
1
2
)
[
5
1
2
]
52
%
(
F
2
3
1
2
)
d
2
1
2
+
48
%
(
F
2
3
1
2
)
d
1
1
2 120 646 120 647 −1 3
[
3
1
2
]
55
%
(
F
2
3
1
2
)
[
3
1
2
]
+
45
%
(
F
2
3
1
2
)
[
2
1
2
]
99
%
(
F
2
3
1
2
)
d
1
1
2 120 652 120 653 −1 4
86
%
(
F
2
3
1
2
)
[
3
1
2
]
+
14
%
(
F
2
3
1
2
)
[
4
1
2
]
97
%
(
F
2
3
1
2
)
d
2
1
2 120 685 120 684 1 2
[
2
1
2
]
95
%
(
F
2
3
1
2
)
[
2
1
2
]
+
15
%
(
F
2
3
1
2
)
[
5
1
2
]
58
%
(
F
2
3
1
2
)
d
1
1
2
+
42
%
(
F
2
3
1
2
)
d
2
1
2 120 740 120 733 7 6
[
5
1
2
]
100
%
(
F
2
3
1
2
)
[
5
1
2
]
100
%
(
F
2
3
1
2
)
d
2
1
2 120 846 120 852 −6 3
[
2
1
2
]
55
%
(
F
2
3
1
2
)
[
2
1
2
]
+
45
%
(
F
2
3
1
2
)
[
3
1
2
]
99
%
(
F
2
3
1
2
)
d
2
1
2 121 001 121 001 0 5
[
5
1
2
]
83
%
(
F
2
3
1
2
)
[
5
1
2
]
+
15
%
(
F
2
3
1
2
)
[
4
1
2
]
50
%
(
F
2
3
1
2
)
d
1
1
2
+
47
%
(
F
2
3
1
2
)
d
2
1
2 121 057 121 076 −19 2
[
1
1
2
]
95
%
(
F
2
3
1
2
)
[
1
1
2
]
58
%
(
F
2
3
1
2
)
d
2
1
2
+
42
%
(
F
2
3
1
2
)
d
1
1
2 121 096 121 088 8 1
98
%
(
F
2
3
1
2
)
[
1
1
2
]
98
%
(
F
2
3
1
2
)
d
2
1
2 121 559 121 546 13
Table XIX
Parameters for 4f 6s , 4f 7s , 4f 8s .
Configuration G fs −1 )ζ f −1 )R (=1.333 theor.)4f 6s 300 640 1.636 4f 7s 75 641 1.231 4f 8s 44 643 1.358
Table XX
Parameters for 4f 5g .
Parameter Diagonalization (cm−1 ) l.s. 1 (all free) (cm−1 ) l.s. 2 (F 4 , F 6 , G k −1 ) F 0 124 242 124 244 ±2 124 242 ±2 F 2 0.35 0.36 ±0.02 0.34±0.01 F 4 0.0 0.01 ±0.01 eliminated F 6 0.0 0.0 ±0.0 eliminated G 1 0.0 −0.16 ±0.18 eliminated G 3 0.0 −0.1 ±0.1 eliminated G 5 0.0 0.0 ±0.0 eliminated G 7 0.0 0.006±0.002 eliminated ζ f 643 643 ±1 643 ±1 ζ g 1 1.06 ±0.97 1 ±1 rms error (in cm−1 ) 9 10 in percent of configuration width 0.3% 0.4%
Table XXI
Energy levels of 4f 5g .
l.s. 1 (all parameters free) l.s. 2 (F 4 , F 6 , G k J Exp. name Observed (cm−1 ) Calculated (cm−1 ) O–C (cm−1 ) Calculated (cm−1 ) O–C (cm−1 ) 4
(
F
2
2
1
2
)
[
4
1
2
] 122 906 122 909 −3 122 907 −1 5 122 909 122 908 1 122 909 0 6
[
5
1
2
] 122 920 122 917 3 122 919 1 5 122 922 122 916 6 122 916 6 4
[
3
1
2
] 122 932 122 938 −6 122 940 −8 3 122 933 122 934 −1 122 937 −4 2
[
2
1
2
] 122 976 122 988 −12 122 985 −9 3 122 978 122 976 2 122 988 −10 6
[
6
1
2
] 123 010 123 005 5 122 994 16 7 123 017 123 003 14 122 997 20 2
[
1
1
2
] 123 028 123 029 −1 123 036 −7 1 123 029 123 036 −7 123 033 −3 6
(
F
2
3
1
2
)
[
5
1
2
] 125 156 125 162 −6 125 158 −2 5 125 159 125 155 4 125 155 4 4
[
4
1
2
] 125 165 125 170 −5 125 169 −4 5 125 168 125 170 −1 125 171 −3 6
[
6
1
2
] 125 181 125 175 6 125 177 4 7 125 187 125 182 5 125 180 7 4
[
3
1
2
] 125 194 125 201 −7 125 203 −9 3 125 196 125 198 −2 125 201 −5 2
[
2
1
2
] 125 231 125 243 −12 125 240 −9 3 125 233 125 230 3 125 242 −9 2
[
1
1
2
] 125 268 125 276 −8 125 276 −8 1 125 269 125 266 3 125 274 −5 8
[
7
1
2
] 125 271 125 258 13 125 252 19 7 125 280 125 270 10 125 255 25 0
[
0
1
2
] 125 295 125 287 8 125 297 −2 1 125 297 125 307 −10 125 300 −3
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