Intensity measurements have been made on a complex super-multiplet of normal titanium, 5D′FG′–5H′GF′DP′, arising from the transition [(3d)24s] 4p–4d, parent term a4F′, and on a simple super-multiplet 5D′FG′–5F′ arising from the transition [(3d)24s] 4p–5s. The intensities of the latter have been found to be practically normal, the multiplet ratios being measured as 8.95:7.00:5.30, or within 6% of the theoretical values, with no self-reversal or excitation corrections needed. The complex super-multiplet has extremely anomalous intensities, as might be expected from the fact that it contains strong 5FH′ lines and that a number of lines allowed by the selection principles and usually of considerable intensity are found to be entirely missing in its multiplets. Very few lines have normal intensity ratios to one another, and in no individual multiplet is the Sum Rule fulfilled. In the super-multiplet as a whole the fulfillment of the Sum Rule is only slightly better; the average deviation of the sums from the mean is about 15%, after an excitation correction corresponding to 2080°A for the temperature of the emitting arc has been applied. No other temperature will furnish a correction making the deviation appreciably less. Kronig’s formulas for the relative intensities of the nine multiplets hold only roughly. The measurements were made rather difficult by the relative weakness of the lines and by the presence of Cyanogen bands in their neighborhood, but results from a number of sets of plates showed very good agreement, and it is believed that the average final error is considerably under 10%.
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Probable lap.
Value uncertain because of close neighboring lines.
Second order satellites, not listed or measured, are included in these sums at their computed values.
Table 4
Multiplet 214.
b5D
4
3
2
1
0
Sum
a5D′
4
j
180
a
36
x
x
x
216
90
14
104
3
l
36
h
84
b
48
x
x
168
15e
59
30
104
2
x
k
48
f
30
c
42
x
120
33
30
17
80
1
x
x
i
42
e
6
d
24
72
40
6
8
54
0
x
x
x
g
24
x
24
24
24
Sum
216
158
120
72
24
105
106
100
47
8
Notes: Lines f, i, e, and g taken as normal (all others proportionately weaker). Multiplet is characterized by some degree of asymmetry in satellites.
Table 5
Multiplet 225.
b5P′
3
2
1
Sum
a5D′
4
t
108
x
x
108
80
80
3
w
28
r
56
x
84
13
56
69
2
z
4
u
35
p
21
60
—
24
22
46
1
x
v
9
q
27
36
7
26
33
0
x
x
s
12
12
9
9
140
100
60
Sum
97
87
57
Notes: Lines p, q, and r taken as normal. All others relatively weaker. Lines s, t, u, and v normal relative to one another.
Table 6
Multiplet 234.
d5F′
Sum
5
4
3
2
1
a5D′
4
e
220
a
30
2
x
x
252
166
30
—
—
196
3
x
f
150
b
42
4
x
196
116
44
164
2
x
x
g
96
c
40
4
140
0
38
—
42
1
x
x
x
h
56
i
28
84
0
0
0
0
x
x
x
x
d
28
28
16
16
Sum
220
180
140
100
60
166
146
46
42
20
Notes: Lines a, b, and c taken as normal. All others relatively weaker. Three relatively strong lines not found (intensities marked 0).
Table 7
Multiplet 237.
a5G
6
5
4
3
2
Sum
a5F
5
j
546
g
46
1.8
x
x
594
540
36
—
576
4
x
k
416
h
67
3.4
x
487
465
60
—
525
3
x
x
l
309
i
66
3.0
378
390
66
—
456
2
x
x
x
m
225
o
45
270
274
0
274
1
x
x
x
x
n
162
162
232
232
Sum
546
462
378
295
200
540
501
450
340
232
Notes: No two lines except j and i have normal ratios. The principal lines in this multiplet were measured in Paper I and listed as normal. This error was made because these lines fall on a curve shaped much like a normal self-reversal curve, and they were measured at the same time as multiplets having much more self-reversal. It is believed that the present interpretation is the correct one, although the resemblance to self-reversal is striking. The satellites are anomalous in any case, and one strong line is missing.
Table 8
Multiplet 244.
b5D
4
3
2
1
0
Sum
a5F
5
s
220
x
x
x
x
220
117
117
4
y
30
t
150
x
x
x
180
26
106
132
3
2
x
42
u
96
x
x
140
—
32
96
128
2
x
4
40
v
56
x
100
—
0
<57
<57
1
x
x
4
28
w
28
60
—
0
17
17
Sum
252
196
140
84
28
143
138
96
57
17
Notes: No pair of normal lines. Line u taken as normal. Two strong first order satellites missing.
Table 9
Multiplet 253.
a5G
6
5
4
3
2
Sum
a5G′
6
c
971
p
69
x
x
x
1040
520
0
520
5
m
69
d
710
a
101
x
x
880
1580
480
100
2160
4
x
o
101
h
520
f
99
x
720
2200
315
100
2615
3
x
x
r
99
n
394
j
67
560
1620
340
108
2068
2
x
x
x
u
67
q
333
400
900
815
1715
Sum
1040
880
720
560
400
2100
2680
2035
1340
923
Notes: a and f taken as normal. Multiplet characterized by extreme asymmetry of satellites, one strong line missing.
Table 10
Multiplet 254.
a5H′
7
6
5
4
3
Sum
a5G′
6
k
1080
g
63
b
1.3
x
x
1165
c
2340
735
40
3115
5
x
t
873
1
92
e
2.4
x
968
873
603
43
1519
4
x
x
v
699
p
92
i
2
793
698
487
30
1215
3
x
x
x
w
554
s
62
616
575
248
823
2
x
x
x
x
x
440
440
445
445
Sum
1080
936
793
649
504
2340
1608
1341
905
723
Notes: Lines t, v, w, and x taken as normal, although they are relatively the four weakest lines. The multiplet is characterized by the extreme strength of the leading line, and of all the satellites.
Table 11
Multiplet 258.
d5F′
5
4
3
2
1
Sum
a5F
5
b
475
a
53
x
x
x
528
202
67
269
4
i
53
d
304
75
x
x
432
57
172
0
229
3
x
k
75
f
189
c
72
x
336
45
176
52
273
2
x
x
l
72
g
120
e
48
192
49
120
112
281
1
x
x
x
j
48
h
96
144
38
22
60
Sum
528
432
336
192
144
259
284
225
210
134
Notes: Lines g, i, and f taken as normal. Multiplet is characterized by one strong line missing, and by the asymmetry of some of the satellites, together with the unevenness of the main lines.
Table 12
Multiplet 278.
d5F′
5
4
3
2
1
Sum
a5G′
6
m
546
x
x
x
x
546
558
558
5
46
n
416
x
x
x
462
0
1020
1020
4
1.8
67
o
309
x
x
378
—
0
309
309
3
x
3.4
66
125
x
295
—
0
0
0
2
x
x
3
45
p
162
210
—
0
154
154
Sum
594
486
378
270
162
558
1020
309
0
154
Notes: m, a, and p taken as normal. Multiplet characterized by one extra-strong line, and by the fact that one main line and all the satellites are missing.
Table 13
Upper state
Term value
Δσ
Intensity sum
Rm
R for 2080°
a5H7′
42205
491
700
46.7
1.01
1.41
65.9
a5H6′
42123
409
616
47.5
.99
1.33
63.2
a5H5′
42018
304
487
44.3
1.07
1.24
55.0
a5H4′
41917
203
379
42.1
1.12
1.15
48.5
a5H3′
41823
109
241
34.4
1.37
1.08
37.2
a5G6
42019
305
547
42.0
1.12
1.24
52.0
a5G5
41903
189
<600
<54.6
—
1.13
<61.8
a5G4
41818
104
489
54.2
0.87
1.07
58.0
a5G3
41757
43
344
49.2
0.96
1.02
50.2
a5G2
41714
0
236
47.2
1.00
1.00
47.2
d5F5′
43330
1616
164
14.9
3.16
3.02
45.0
d5F4′
43231
1517
182
20.2
2.33
2.82
57.0
d5F3′
43148
1434
92
13.1
3.60
2.70
35.4
d5F2′
43081
1367
75
15.0
3.14
2.58
38.7
d5F1′
43034
1320
49
16.3
2.90
2.50
40.7
b5D4
42184
470
297
33.0
1.39
1.40
46.2
b5D3
42052
338
316
45.2
1.04
1.27
57.5
b5D2
41958
244
<269
<53.8
—
1.19
<64
b5D1
41901
187
<137
<45.6
—
1.13
<52
b5D0
41871
157
28
28.0
1.68
1.11
31.2
b5P3′
42858
1144
152
21.7
2.17
2.22
46.0
b5P2′
42724
1010
144
28.8
1.64
2.00
57.5
b5P1′
42611
897
95
31.6
1.49
1.86
59.0
Average deviation from mean
33%
17%
Table 14
Lower state
Sum without correction divided by 2J+1
Sum with excitation correction for 2080°, divided by 2J+1
Probable lap.
Value uncertain because of close neighboring lines.
Second order satellites, not listed or measured, are included in these sums at their computed values.
Table 4
Multiplet 214.
b5D
4
3
2
1
0
Sum
a5D′
4
j
180
a
36
x
x
x
216
90
14
104
3
l
36
h
84
b
48
x
x
168
15e
59
30
104
2
x
k
48
f
30
c
42
x
120
33
30
17
80
1
x
x
i
42
e
6
d
24
72
40
6
8
54
0
x
x
x
g
24
x
24
24
24
Sum
216
158
120
72
24
105
106
100
47
8
Notes: Lines f, i, e, and g taken as normal (all others proportionately weaker). Multiplet is characterized by some degree of asymmetry in satellites.
Table 5
Multiplet 225.
b5P′
3
2
1
Sum
a5D′
4
t
108
x
x
108
80
80
3
w
28
r
56
x
84
13
56
69
2
z
4
u
35
p
21
60
—
24
22
46
1
x
v
9
q
27
36
7
26
33
0
x
x
s
12
12
9
9
140
100
60
Sum
97
87
57
Notes: Lines p, q, and r taken as normal. All others relatively weaker. Lines s, t, u, and v normal relative to one another.
Table 6
Multiplet 234.
d5F′
Sum
5
4
3
2
1
a5D′
4
e
220
a
30
2
x
x
252
166
30
—
—
196
3
x
f
150
b
42
4
x
196
116
44
164
2
x
x
g
96
c
40
4
140
0
38
—
42
1
x
x
x
h
56
i
28
84
0
0
0
0
x
x
x
x
d
28
28
16
16
Sum
220
180
140
100
60
166
146
46
42
20
Notes: Lines a, b, and c taken as normal. All others relatively weaker. Three relatively strong lines not found (intensities marked 0).
Table 7
Multiplet 237.
a5G
6
5
4
3
2
Sum
a5F
5
j
546
g
46
1.8
x
x
594
540
36
—
576
4
x
k
416
h
67
3.4
x
487
465
60
—
525
3
x
x
l
309
i
66
3.0
378
390
66
—
456
2
x
x
x
m
225
o
45
270
274
0
274
1
x
x
x
x
n
162
162
232
232
Sum
546
462
378
295
200
540
501
450
340
232
Notes: No two lines except j and i have normal ratios. The principal lines in this multiplet were measured in Paper I and listed as normal. This error was made because these lines fall on a curve shaped much like a normal self-reversal curve, and they were measured at the same time as multiplets having much more self-reversal. It is believed that the present interpretation is the correct one, although the resemblance to self-reversal is striking. The satellites are anomalous in any case, and one strong line is missing.
Table 8
Multiplet 244.
b5D
4
3
2
1
0
Sum
a5F
5
s
220
x
x
x
x
220
117
117
4
y
30
t
150
x
x
x
180
26
106
132
3
2
x
42
u
96
x
x
140
—
32
96
128
2
x
4
40
v
56
x
100
—
0
<57
<57
1
x
x
4
28
w
28
60
—
0
17
17
Sum
252
196
140
84
28
143
138
96
57
17
Notes: No pair of normal lines. Line u taken as normal. Two strong first order satellites missing.
Table 9
Multiplet 253.
a5G
6
5
4
3
2
Sum
a5G′
6
c
971
p
69
x
x
x
1040
520
0
520
5
m
69
d
710
a
101
x
x
880
1580
480
100
2160
4
x
o
101
h
520
f
99
x
720
2200
315
100
2615
3
x
x
r
99
n
394
j
67
560
1620
340
108
2068
2
x
x
x
u
67
q
333
400
900
815
1715
Sum
1040
880
720
560
400
2100
2680
2035
1340
923
Notes: a and f taken as normal. Multiplet characterized by extreme asymmetry of satellites, one strong line missing.
Table 10
Multiplet 254.
a5H′
7
6
5
4
3
Sum
a5G′
6
k
1080
g
63
b
1.3
x
x
1165
c
2340
735
40
3115
5
x
t
873
1
92
e
2.4
x
968
873
603
43
1519
4
x
x
v
699
p
92
i
2
793
698
487
30
1215
3
x
x
x
w
554
s
62
616
575
248
823
2
x
x
x
x
x
440
440
445
445
Sum
1080
936
793
649
504
2340
1608
1341
905
723
Notes: Lines t, v, w, and x taken as normal, although they are relatively the four weakest lines. The multiplet is characterized by the extreme strength of the leading line, and of all the satellites.
Table 11
Multiplet 258.
d5F′
5
4
3
2
1
Sum
a5F
5
b
475
a
53
x
x
x
528
202
67
269
4
i
53
d
304
75
x
x
432
57
172
0
229
3
x
k
75
f
189
c
72
x
336
45
176
52
273
2
x
x
l
72
g
120
e
48
192
49
120
112
281
1
x
x
x
j
48
h
96
144
38
22
60
Sum
528
432
336
192
144
259
284
225
210
134
Notes: Lines g, i, and f taken as normal. Multiplet is characterized by one strong line missing, and by the asymmetry of some of the satellites, together with the unevenness of the main lines.
Table 12
Multiplet 278.
d5F′
5
4
3
2
1
Sum
a5G′
6
m
546
x
x
x
x
546
558
558
5
46
n
416
x
x
x
462
0
1020
1020
4
1.8
67
o
309
x
x
378
—
0
309
309
3
x
3.4
66
125
x
295
—
0
0
0
2
x
x
3
45
p
162
210
—
0
154
154
Sum
594
486
378
270
162
558
1020
309
0
154
Notes: m, a, and p taken as normal. Multiplet characterized by one extra-strong line, and by the fact that one main line and all the satellites are missing.
Table 13
Upper state
Term value
Δσ
Intensity sum
Rm
R for 2080°
a5H7′
42205
491
700
46.7
1.01
1.41
65.9
a5H6′
42123
409
616
47.5
.99
1.33
63.2
a5H5′
42018
304
487
44.3
1.07
1.24
55.0
a5H4′
41917
203
379
42.1
1.12
1.15
48.5
a5H3′
41823
109
241
34.4
1.37
1.08
37.2
a5G6
42019
305
547
42.0
1.12
1.24
52.0
a5G5
41903
189
<600
<54.6
—
1.13
<61.8
a5G4
41818
104
489
54.2
0.87
1.07
58.0
a5G3
41757
43
344
49.2
0.96
1.02
50.2
a5G2
41714
0
236
47.2
1.00
1.00
47.2
d5F5′
43330
1616
164
14.9
3.16
3.02
45.0
d5F4′
43231
1517
182
20.2
2.33
2.82
57.0
d5F3′
43148
1434
92
13.1
3.60
2.70
35.4
d5F2′
43081
1367
75
15.0
3.14
2.58
38.7
d5F1′
43034
1320
49
16.3
2.90
2.50
40.7
b5D4
42184
470
297
33.0
1.39
1.40
46.2
b5D3
42052
338
316
45.2
1.04
1.27
57.5
b5D2
41958
244
<269
<53.8
—
1.19
<64
b5D1
41901
187
<137
<45.6
—
1.13
<52
b5D0
41871
157
28
28.0
1.68
1.11
31.2
b5P3′
42858
1144
152
21.7
2.17
2.22
46.0
b5P2′
42724
1010
144
28.8
1.64
2.00
57.5
b5P1′
42611
897
95
31.6
1.49
1.86
59.0
Average deviation from mean
33%
17%
Table 14
Lower state
Sum without correction divided by 2J+1
Sum with excitation correction for 2080°, divided by 2J+1
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