The spectrum of Ta vi produced with a sliding-spark discharge was photographed in the region of ~200–2000 Å utilizing grazing-incidence and normal-incidence spectrographs. A system of seventy excited energy levels was deduced from 228 spectral lines. These arise from excitations out of both the 4f and 5p closed shells of the 4f145s25p6 ground configuration, giving the observed configurations 4f13nl with nl = 5d, 6s, 6p, 6d, 7s and 5p5nl with nl = 5d, 6s, 6p. Radial integrals were fitted for all of these configurations. A value of 785 130 ± 400 cm−1 for the ionization energy was derived. A graph of lowest excited levels of 4f135d and 5p55d from Lu iv to Re viii predicts the crossing of these configurations after W vii.
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Values for the radial energy integrals (parameters) of the 4f13nl configurations of Ta vi obtained by least-squares fitting of the calculated to the experimental levels. Units are cm−1.
Parameter
4f135d
4f136p
4f136p
4f136s
4f137s
A
260 246(540)
509 578(68)
407 889(61)
326 875(140)
523 432(20)
F2(fd)
32 009(280)
8 043(57)
F4(fd)
21 109(520)
4 310(160)
G1(fd)
9 582(65)
2 136(fixed)
G3(fd)
13 099(640)
2 919(82)
G5(fd)
8 728(850)
2 481(110)
D1(fd)
2 199(360)
D2(fd)
0(fixed)
X2(fd)
−1 778(440)
X4(fd)
−3 414(1300)
F2(fp)
11 183(63)
G2(fp)
3 421(35)
G4(fp)
3 408(140)
D1(fp)
292(60)
X3(fp)
0(fixed)
G3(fs)
3 479(1400)
1 226(200)
ζp
11 163(9)
ζd
3 347(18)
1 048(3)
ζf
4 377(13)
4 392(2)
4 389(3)
4 386(57)
4 406(8)
rms error
84
15
18
36
29
TABLE IV
Values for the radial energy integrals (parameters) of the 5p5nl configurations of Ta vi obtained by least-squares fitting of the calculated to the experimental levels. Units are cm−1.
Parameter
5p55d
5p56s
5p56p
A
332 368(110)
408 775(130)
483 381(37)
F2(pd)
56 805(1300)
G1(pd)
66 510(1000)
G3(pd)
48 167(1800)
R2(fd, ps)
2 028 (fixed)
R3(fd, sp)
−3 578 (fixed)
G1(ps)
9 522(700)
F2(pp′)
20 025(750)
G0(pp′)
6 065 (fixed)
G2(pp′)
8 675(600)
ζ(5p)
49 300 (fixed)
50 333(160)
50 700 (fixed)
ζ(5d)
3 259(100)
ζ(6p)
11 244(59)
rms error
125
0
35
TABLE V
Ratios of radial integral values calculated by Hartree–Fock methods to those fitted to observed levels.
4f135d
5p55d
5p56s
F2
1.201
1.224
F4
0.861
G1
1.383
1.281
G3
0.938
0.904
0.833
G5
1.120
ζf
1.077
ζd
1.028
0.983
ζp
0.771
TABLE VI
Calculated energy levels and percentage composition in J1j coupling of the 4f135d configuration of Ta vi. The first two components of the eigenvectors are given. Units for the levels are cm−1.
J
Levels
Calc. minus obs.
Composition (%)
Calculated
Observed
0
251 821
251 806
15
(5/2, 5/2) 100
1
242 588
242 614
−26
(7/2, 5/2) 63
(5/2, 3/2) 23
258 879
258 774
105
(5/2, 3/2) 52
(5/2, 5/2) 46
260 074
260 098
−24
(5/2, 5/2) 40
(7/2, 5/2) 35
2
230 914
230 924
−10
(7/2, 3/2) 87
(7/2, 5/2) 11
244 944
244 924
20
(7/2, 5/2) 88
(7/2, 3/2) 12
253 585
253 591
−6
(5/2, 3/2) 98
(7/2, 3/2) 1
261 846
261 948
−102
(5/2, 5/2) 98
(5/2, 3/2) 1
3
239 598
239 599
−1
(7/2, 3/2) 98
(7/2, 5/2) 2
249 444
249 485
−41
(7/2, 5/2) 95
(7/2, 3/2) 2
258 519
258 566
−47
(5/2, 3/2) 98
(7/2, 5/2) 1
264 681
264 542
139
(5/2, 5/2) 98
(7/2, 5/2) 1
4
241 186
241 236
−50
(7/2, 3/2) 96
(7/2, 5/2) 2
248 126
248 055
71
(7/2, 5/2) 85
(5/2, 3/2) 14
251 736
251 743
−7
(5/2, 3/2) 83
(7/2, 5/2) 12
265 719
265 728
−9
(5/2, 5/2) 98
(5/2, 3/2) 2
5
236 509
236 439
70
(7/2, 3/2) 98,
(7/2, 5/2) 2
250 518
250 536
−18
(7/2, 5/2) 97
(5/2, 5/2) 2
260 397
260 457
−60
(5/2, 5/2) 98
(7/2, 5/2) 2
6
243 302
243 309
−7
(7/2, 5/2) 100
TABLE VII
Calculated energy levels and percentage composition in J1j coupling of the 4f136d configuration of Ta vi. The first two components of the eigenvectors are given. Units for the levels are cm−1.
J
Levels
Calc. minus obs.
Composition (%)
Calculated
Observed
0
514 349
(5/2, 5/2) 100
1
501 489
(7/2, 5/2) 98
(5/2, 3/2) 1
514 418
(5/2, 3/2) 88
(5/2, 5/2) 11
515 826
(5/2, 5/2) 89
(5/2, 3/2) 11
2
497 132
(7/2, 3/2) 92
(7/2, 5/2) 8
500 950
500 935
15
(7/2, 5/2) 92
(7/2, 3/2) 8
514 151
514 135
16
(5/2, 3/2) 99
(5/2, 5/2) 1
516 671
516 674
−3
(5/2, 5/2) 99
(5/2, 3/2) 1
3
499 082
499 082
0
(7/2, 3/2) 98
(7/2, 5/2) 2
502 084
502 077
7
(7/2, 5/2) 98
(7/2, 3/2) 2
515 275
515 279
−4
(5/2, 3/2) 100
517 385
(5/2, 5/2) 100
4
499 556
499 564
−8
(7/2, 3/2) 99
(7/2, 5/2) 1
501 945
501 920
25
(7/2, 5/2) 99
(7/2, 3/2) 1
513 454
513 451
3
(5/2, 3/2) 98
(5/2, 5/2) 2
517 672
517 667
5
(5/2, 5/2) 98
(5/2, 3/2) 2
5
498 278
498 267
9
(7/2, 3/2) 99
(7/2, 5/2) 1
502 311
502 324
−13
(7/2, 5/2) 99
(7/2, 3/2) 1
516 242
516 242
0
(5/2, 5/2) 100
6
500 442
500 456
−14
(7/2, 5/2) 100
TABLE VIII
Calculated energy levels and percentage composition in J1j coupling of the 4f136p configuration of Ta vi. The first two components of the eigenvectors are given. Units for the levels are cm−1.
J
Levels
Calc. minus obs.
Composition (%)
Calculated
Observed
1
416 840
416 844
−4
(5/2, 3/2) 100
2
402 169
402 188
−19
(5/2, 1/2) 65
(7/2, 3/2) 33
403 415
403 415
0
(7/2, 3/2) 66
(5/2, 1/2) 34
419 356
419 358
−2
(5/2, 3/2) 99
(5/2, 1/2) 1
3
386 325
386 304
21
(7/2, 1/2) 99
(7/2, 3/2) 1
401 727
401 727
0
(5/2, 1/2) 93
(7/2, 3/2) 7
404 184
404 170
14
(7/2, 3/2) 92
(5/2, 1/2) 7
420 175
420 171
4
(5/2, 3/2) 100
4
386 874
386 883
−9
(7/2, 1/2) 100
404 994
405 009
−15
(7/2, 3/2) 100
418 528
418 513
15
(5/2, 3/2) 100
5
402 613
402 616
−3
(7/2, 3/2) 100
TABLE IX
Calculated energy levels and percentage composition in J1j coupling of the interacting 5p55d and 4f136s configurations of Ta vi. Designations of 4f136s states are flagged by asterisks. The observed level enclosed in parentheses was not included in the calculation. The first two components of the eigenvectors are given. Units for the levels are cm−1.
J
Levels
Calc. minus obs.
Composition (%)
Calculated
Observed
0
291 468
(3/2, 3/2) 100
1
296 796
296 591
205
(3/2, 3/2) 82
(3/2, 5/2) 17
345 938
345 938
0
(3/2, 5/2) 61
(1/2, 3/2) 22
425 171
(416 908)
(1/2, 3/2) 77
(3/2, 5/2) 22
2
306 376
306 451
−75
(3/2, 3/2) 62
(3/2, 5/2) 36
313 285
313 216
69
(3/2, 5/2) 62
(3/2, 3/2) 37
335 149
335 112
37
*(5/2, 1/2) 100
377 412
(1/2, 3/2) 99
(3/2, 3/2) 1
386 554
(1/2, 5/2) 98
(3/2, 5/2) 2
3
306 352
306 512
−160
(3/2, 3/2) 96
(3/2, 5/2) 2
320 228
320 196
32
*(7/2, 1/2) 94
(3/2, 5/2) 6
323 389
323 284
105
(3/2, 5/2) 92
*(7/2, 1/2) 5
335 616
335 656
−40
*(5/2, 1/2) 100
391 653
(1/2, 5/2) 99
(3/2, 3/2) 1
4
307 713
307 855
−142
(3/2, 5/2) 100
319 816
319 851
−35
*(7/2, 1/2) 100
TABLE X
Calculated energy levels and percentage composition in J1j coupling of the 5p56p configuration of Ta vi. The first two components of the eigenvectors are given. Units for the levels are cm−1.
J
Levels
Calc. minus obs.
Composition (%)
Calculated
Observed
0
481 441
(3/2, 3/2) 96
(1/2, 1/2) 4
537 434
(1/2, 1/2) 96
(3/2, 3/2) 4
1
445 788
445 768
20
(3/2, 1/2) 95
(3/2, 3/2) 5
463 420
463 436
−16
(3/2, 3/2) 95
(3/2, 1/2) 5
522 943
(1/2, 1/2) 100
540 028
(1/2, 3/2) 100
2
448 121
448 140
−19
(3/2, 1/2) 100
467 445
467 430
15
(3/2, 3/2) 100
541 143
(1/2, 3/2) 100
3
462 852
462 854
−2
(3/2, 3/2) 100
TABLE XI
Values of Δn*(7s − 6s) from the one-electron isoelectronic sequence Lu iii through W vi.
Values for the radial energy integrals (parameters) of the 4f13nl configurations of Ta vi obtained by least-squares fitting of the calculated to the experimental levels. Units are cm−1.
Parameter
4f135d
4f136p
4f136p
4f136s
4f137s
A
260 246(540)
509 578(68)
407 889(61)
326 875(140)
523 432(20)
F2(fd)
32 009(280)
8 043(57)
F4(fd)
21 109(520)
4 310(160)
G1(fd)
9 582(65)
2 136(fixed)
G3(fd)
13 099(640)
2 919(82)
G5(fd)
8 728(850)
2 481(110)
D1(fd)
2 199(360)
D2(fd)
0(fixed)
X2(fd)
−1 778(440)
X4(fd)
−3 414(1300)
F2(fp)
11 183(63)
G2(fp)
3 421(35)
G4(fp)
3 408(140)
D1(fp)
292(60)
X3(fp)
0(fixed)
G3(fs)
3 479(1400)
1 226(200)
ζp
11 163(9)
ζd
3 347(18)
1 048(3)
ζf
4 377(13)
4 392(2)
4 389(3)
4 386(57)
4 406(8)
rms error
84
15
18
36
29
TABLE IV
Values for the radial energy integrals (parameters) of the 5p5nl configurations of Ta vi obtained by least-squares fitting of the calculated to the experimental levels. Units are cm−1.
Parameter
5p55d
5p56s
5p56p
A
332 368(110)
408 775(130)
483 381(37)
F2(pd)
56 805(1300)
G1(pd)
66 510(1000)
G3(pd)
48 167(1800)
R2(fd, ps)
2 028 (fixed)
R3(fd, sp)
−3 578 (fixed)
G1(ps)
9 522(700)
F2(pp′)
20 025(750)
G0(pp′)
6 065 (fixed)
G2(pp′)
8 675(600)
ζ(5p)
49 300 (fixed)
50 333(160)
50 700 (fixed)
ζ(5d)
3 259(100)
ζ(6p)
11 244(59)
rms error
125
0
35
TABLE V
Ratios of radial integral values calculated by Hartree–Fock methods to those fitted to observed levels.
4f135d
5p55d
5p56s
F2
1.201
1.224
F4
0.861
G1
1.383
1.281
G3
0.938
0.904
0.833
G5
1.120
ζf
1.077
ζd
1.028
0.983
ζp
0.771
TABLE VI
Calculated energy levels and percentage composition in J1j coupling of the 4f135d configuration of Ta vi. The first two components of the eigenvectors are given. Units for the levels are cm−1.
J
Levels
Calc. minus obs.
Composition (%)
Calculated
Observed
0
251 821
251 806
15
(5/2, 5/2) 100
1
242 588
242 614
−26
(7/2, 5/2) 63
(5/2, 3/2) 23
258 879
258 774
105
(5/2, 3/2) 52
(5/2, 5/2) 46
260 074
260 098
−24
(5/2, 5/2) 40
(7/2, 5/2) 35
2
230 914
230 924
−10
(7/2, 3/2) 87
(7/2, 5/2) 11
244 944
244 924
20
(7/2, 5/2) 88
(7/2, 3/2) 12
253 585
253 591
−6
(5/2, 3/2) 98
(7/2, 3/2) 1
261 846
261 948
−102
(5/2, 5/2) 98
(5/2, 3/2) 1
3
239 598
239 599
−1
(7/2, 3/2) 98
(7/2, 5/2) 2
249 444
249 485
−41
(7/2, 5/2) 95
(7/2, 3/2) 2
258 519
258 566
−47
(5/2, 3/2) 98
(7/2, 5/2) 1
264 681
264 542
139
(5/2, 5/2) 98
(7/2, 5/2) 1
4
241 186
241 236
−50
(7/2, 3/2) 96
(7/2, 5/2) 2
248 126
248 055
71
(7/2, 5/2) 85
(5/2, 3/2) 14
251 736
251 743
−7
(5/2, 3/2) 83
(7/2, 5/2) 12
265 719
265 728
−9
(5/2, 5/2) 98
(5/2, 3/2) 2
5
236 509
236 439
70
(7/2, 3/2) 98,
(7/2, 5/2) 2
250 518
250 536
−18
(7/2, 5/2) 97
(5/2, 5/2) 2
260 397
260 457
−60
(5/2, 5/2) 98
(7/2, 5/2) 2
6
243 302
243 309
−7
(7/2, 5/2) 100
TABLE VII
Calculated energy levels and percentage composition in J1j coupling of the 4f136d configuration of Ta vi. The first two components of the eigenvectors are given. Units for the levels are cm−1.
J
Levels
Calc. minus obs.
Composition (%)
Calculated
Observed
0
514 349
(5/2, 5/2) 100
1
501 489
(7/2, 5/2) 98
(5/2, 3/2) 1
514 418
(5/2, 3/2) 88
(5/2, 5/2) 11
515 826
(5/2, 5/2) 89
(5/2, 3/2) 11
2
497 132
(7/2, 3/2) 92
(7/2, 5/2) 8
500 950
500 935
15
(7/2, 5/2) 92
(7/2, 3/2) 8
514 151
514 135
16
(5/2, 3/2) 99
(5/2, 5/2) 1
516 671
516 674
−3
(5/2, 5/2) 99
(5/2, 3/2) 1
3
499 082
499 082
0
(7/2, 3/2) 98
(7/2, 5/2) 2
502 084
502 077
7
(7/2, 5/2) 98
(7/2, 3/2) 2
515 275
515 279
−4
(5/2, 3/2) 100
517 385
(5/2, 5/2) 100
4
499 556
499 564
−8
(7/2, 3/2) 99
(7/2, 5/2) 1
501 945
501 920
25
(7/2, 5/2) 99
(7/2, 3/2) 1
513 454
513 451
3
(5/2, 3/2) 98
(5/2, 5/2) 2
517 672
517 667
5
(5/2, 5/2) 98
(5/2, 3/2) 2
5
498 278
498 267
9
(7/2, 3/2) 99
(7/2, 5/2) 1
502 311
502 324
−13
(7/2, 5/2) 99
(7/2, 3/2) 1
516 242
516 242
0
(5/2, 5/2) 100
6
500 442
500 456
−14
(7/2, 5/2) 100
TABLE VIII
Calculated energy levels and percentage composition in J1j coupling of the 4f136p configuration of Ta vi. The first two components of the eigenvectors are given. Units for the levels are cm−1.
J
Levels
Calc. minus obs.
Composition (%)
Calculated
Observed
1
416 840
416 844
−4
(5/2, 3/2) 100
2
402 169
402 188
−19
(5/2, 1/2) 65
(7/2, 3/2) 33
403 415
403 415
0
(7/2, 3/2) 66
(5/2, 1/2) 34
419 356
419 358
−2
(5/2, 3/2) 99
(5/2, 1/2) 1
3
386 325
386 304
21
(7/2, 1/2) 99
(7/2, 3/2) 1
401 727
401 727
0
(5/2, 1/2) 93
(7/2, 3/2) 7
404 184
404 170
14
(7/2, 3/2) 92
(5/2, 1/2) 7
420 175
420 171
4
(5/2, 3/2) 100
4
386 874
386 883
−9
(7/2, 1/2) 100
404 994
405 009
−15
(7/2, 3/2) 100
418 528
418 513
15
(5/2, 3/2) 100
5
402 613
402 616
−3
(7/2, 3/2) 100
TABLE IX
Calculated energy levels and percentage composition in J1j coupling of the interacting 5p55d and 4f136s configurations of Ta vi. Designations of 4f136s states are flagged by asterisks. The observed level enclosed in parentheses was not included in the calculation. The first two components of the eigenvectors are given. Units for the levels are cm−1.
J
Levels
Calc. minus obs.
Composition (%)
Calculated
Observed
0
291 468
(3/2, 3/2) 100
1
296 796
296 591
205
(3/2, 3/2) 82
(3/2, 5/2) 17
345 938
345 938
0
(3/2, 5/2) 61
(1/2, 3/2) 22
425 171
(416 908)
(1/2, 3/2) 77
(3/2, 5/2) 22
2
306 376
306 451
−75
(3/2, 3/2) 62
(3/2, 5/2) 36
313 285
313 216
69
(3/2, 5/2) 62
(3/2, 3/2) 37
335 149
335 112
37
*(5/2, 1/2) 100
377 412
(1/2, 3/2) 99
(3/2, 3/2) 1
386 554
(1/2, 5/2) 98
(3/2, 5/2) 2
3
306 352
306 512
−160
(3/2, 3/2) 96
(3/2, 5/2) 2
320 228
320 196
32
*(7/2, 1/2) 94
(3/2, 5/2) 6
323 389
323 284
105
(3/2, 5/2) 92
*(7/2, 1/2) 5
335 616
335 656
−40
*(5/2, 1/2) 100
391 653
(1/2, 5/2) 99
(3/2, 3/2) 1
4
307 713
307 855
−142
(3/2, 5/2) 100
319 816
319 851
−35
*(7/2, 1/2) 100
TABLE X
Calculated energy levels and percentage composition in J1j coupling of the 5p56p configuration of Ta vi. The first two components of the eigenvectors are given. Units for the levels are cm−1.
J
Levels
Calc. minus obs.
Composition (%)
Calculated
Observed
0
481 441
(3/2, 3/2) 96
(1/2, 1/2) 4
537 434
(1/2, 1/2) 96
(3/2, 3/2) 4
1
445 788
445 768
20
(3/2, 1/2) 95
(3/2, 3/2) 5
463 420
463 436
−16
(3/2, 3/2) 95
(3/2, 1/2) 5
522 943
(1/2, 1/2) 100
540 028
(1/2, 3/2) 100
2
448 121
448 140
−19
(3/2, 1/2) 100
467 445
467 430
15
(3/2, 3/2) 100
541 143
(1/2, 3/2) 100
3
462 852
462 854
−2
(3/2, 3/2) 100
TABLE XI
Values of Δn*(7s − 6s) from the one-electron isoelectronic sequence Lu iii through W vi.