High-resolution spectra of H216O were recorded with a Fourier-transform spectrometer covering transitions in the (010)–(000) band from 1066 to 2582 cm−1. The measured line frequencies were used along with additional data taken from studies at microwave and far-infrared frequencies in an analysis to obtain rotational energies of levels in the (000) and (010) states. Measurements of the line strengths were fitted by least squares to a model in which the dipole moment matrix elements were represented by as many as 19 expansion coefficients. The results produced computed line strength values that are in excellent agreement, on the average, with the 874 experimental transitions included in the analysis. These results provide a more accurate representation of the line positions and strengths for the (010)–(000) band than are currently available on the HITRAN absorption line parameter compilation.
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A preceding asterisk indicates that the 2.39-m cell was evacuated and residue H216O absorptions observed were due to 0.018-Torr H216O pressure in the vacuum tank that enclosed the FTS and to atmospheric H216O (total pressure was 602 Torr) in the spaces between the infrared source and the entry to the tank. The open spaces were purged with cooled N2. The 7.25-Torr pressure represents the H216O partial pressure in the air spaces.
Table 2
Energy Levels of the (000) and (010) States of H216O (cm−1)a
J
Ka
Kc
(000)
(010)
0
0
0
1594.74635
1
1
0
1
23.794350
0.5
1618.55718
1
1
1
1
37.137118
0.5
1634.96711
1
1
1
0
42.371743
0.5
1640.50590
1
2
0
2
70.090805
0.5
1664.96460
2
2
1
2
79.49636
1
1677.06145
1
2
1
1
95.175932
0.5
1693.64998
1
2
2
1
134.90162
1
1742.30566
1
2
2
0
136.16390
1
1743.48638
1
3
0
3
136.76165
1
1731.89672
1
3
1
3
142.27848
1
1739.48375
1
3
1
2
173.36580
1
1772.41355
2
3
2
2
206.30144
1
1813.78761
1
3
2
1
212.15635
1
1819.33515
1
3
3
1
285.21939
1
1907.45145
1
3
3
0
285.41859
1
1907.61581
2
4
0
4
222.05276
2
1817.45124
2
4
1
4
224.83839
1
1821.59685
1
4
1
3
275.49706
1
1875.46973
2
4
2
3
300.36232
1
1908.01638
2
4
2
2
315.77957
2
1922.90116
2
4
3
2
382.51691
1
2004.81575
1
4
3
1
383.84254
2
2005.91712
2
4
4
1
488.10781
2
2129.59926
1
4
4
0
488.13428
1
2129.61871
2
5
0
5
325.34794
2
1920.76659
1
5
1
5
326.62551
1
1922.82909
1
5
1
4
399.45754
2
2000.86309
2
5
2
4
416.20876
2
2024.15272
1
5
2
3
446.51070
2
2053.96878
3
5
3
3
503.96820
2
2126.40778
2
5
3
2
508.81214
2
2130.49436
2
5
4
2
610.11451
2
2251.69542
5
5
4
1
610.34131
2
2251.86258
3
5
5
1
742.07315
2
2406.14105
3
5
5
0
742.07640
2
2406.14319
3
6
0
6
446.69657
2
2041.78057
2
6
1
6
447.25239
1
2042.75343
2
6
1
5
542.90582
2
2146.26374
2
6
2
5
552.91146
2
2161.28612
1
6
2
4
602.77350
2
2211.19069
2
6
3
4
648.97877
2
2271.71236
2
6
3
3
661.54897
2
2282.58968
2
6
4
3
756.72491
1
2398.38160
3
6
4
2
757.78029
3
2399.16558
5
6
5
2
888.59886
2
2552.85739
4
6
5
1
888.63279
3
2552.87986
3
6
6
1
1045.05809
3
2733.96282
3
6
6
0
1045.05850
3
2733.96305
6
7
0
7
586.24364
2
2180.64300
3
7
1
7
586.47921
1
2181.08994
3
7
1
6
704.21413
2
2309.73033
2
7
2
6
709.60824
2
2318.54002
3
7
2
5
782.40993
2
2392.59268
2
7
3
5
816.69438
2
2439.95452
3
7
3
4
842.35671
3
2462.87542
3
7
4
4
927.74401
3
2569.50807
2
7
4
3
931.23726
2
2572.13929
3
7
5
3
1059.64680
3
2724.04156
2
7
5
2
1059.83560
2
2724.16726
3
7
6
2
1216.18993
3
2905.43079
3
7
6
1
1216.19467
3
2905.43363
2
7
7
1
1394.81433
5
3109.91165
6
7
7
0
1394.81438
6
3109.91175
6
8
0
8
744.06374
3
2337.46341
3
8
1
8
744.16276
2
2337.66693
3
8
1
7
882.89047
4
2490.35413
2
8
2
7
885.60033
2
2495.16597
2
8
2
6
982.91177
4
2595.81300
4
8
3
6
1006.11606
2
2630.19276
2
8
3
5
1050.15777
3
2670.78972
3
8
4
5
1122.70866
2
2764.69760
3
8
4
4
1131.77565
3
2771.69029
2
8
5
4
1255.16687
3
2919.63315
3
8
5
3
1255.91170
3
2920.13215
3
8
6
3
1411.61162
3
3101.12392
8
8
6
2
1411.64206
3
3101.14235
5
8
7
2
1590.69034
5
3306.29533
4
8
7
1
1590.69088
3
3306.29564
6
8
8
1
1789.04335
30
3530.95772
12
8
8
0
1789.04372
15
3530.95772
12
9
0
9
920.16851
1
2512.28295
3
9
1
9
920.21017
3
2512.37580
2
9
1
8
1079.07969
2
2688.08010
3
9
2
8
1080.38551
3
2690.59372
3
9
2
7
1201.92165
2
2818.39822
5
9
3
7
1216.23144
4
2841.43089
2
9
3
6
1282.91927
5
2904.67060
4
9
4
6
1340.88504
2
2983.32321
2
9
4
5
1360.23554
3
2998.76650
3
9
5
5
1474.98101
3
3139.47593
3
9
5
4
1477.29752
5
3141.04616
3
9
6
4
1631.24563
3
3320.92995
4
9
6
3
1631.38321
5
3321.01345
5
9
7
3
1810.58355
6
3526.62500
5
9
7
2
1810.58811
10
3526.62763
6
9
8
2
2009.80509
12
3752.41620
20
9
8
1
2009.80525
18
3752.41634
12
9
9
1
2225.46960
40
3994.26074
35
9
9
0
2225.46960
40
3994.26074
35
10
0
10
1114.53242
4
2705.09705
2
10
1
10
1114.55005
3
2705.13973
3
10
1
9
1293.01830
3
2903.14617
5
10
2
9
1293.63420
4
2904.42836
3
10
2
8
1437.96866
3
3058.39862
2
10
3
8
1446.12847
3
3072.72660
5
10
3
7
1538.14967
4
3162.25900
3
10
4
7
1581.33627
2
3224.54674
2
10
4
6
1616.45318
7
3253.73817
5
10
5
6
1718.71904
6
3383.26564
3
10
5
5
1724.70566
8
3387.40076
3
10
6
5
1874.97326
5
3564.70521
4
10
6
4
1875.46195
6
3565.00377
2
10
7
4
2054.34548
12
3770.71156
4
10
7
3
2054.36894
10
3770.72455
4
10
8
3
2254.28407
6
3997.50842
4
10
8
2
2254.28455
6
3997.50869
5
10
9
2
2471.25531
25
4240.94233
6
10
9
1
2471.25531
25
4240.94233
6
10
10
1
2701.88936
30
4497.19365
25
10
10
0
2701.88936
30
4497.19365
25
11
0
11
1327.11016
3
2915.87447
3
11
1
11
1327.11779
3
2915.89445
4
11
1
10
1524.84807
2
3135.76489
3
11
2
10
1525.13619
5
3136.41268
3
11
2
9
1690.66460
3
3314.85579
2
11
3
9
1695.06886
3
3323.26998
6
11
3
8
1813.22359
3
3441.03974
6
11
4
8
1843.02981
3
3487.39944
3
11
4
7
1899.00834
6
3535.87067
3
11
5
7
1985.78512
3
3650.50920
4
11
5
6
1998.99553
3
3659.90424
4
11
6
6
2142.59790
6
3832.25201
3
11
6
5
2144.04656
7
3833.14463
4
11
7
5
2321.81324
6
4038.35169
3
11
7
4
2321.90608
10
4038.40371
6
11
8
4
2522.26143
8
4265.97454
6
11
8
3
2522.26545
40
4265.97665
5
11
9
3
2740.42090
20
4510.90177
35
11
9
2
2740.42100
10
4510.90177
35
11
10
2
2972.82735
40
4769.23291
30
11
10
1
2972.82735
40
4769.23291
30
11
11
1
3216.19418
300
5037.33340
500
11
11
0
3216.19418
300
5037.33340
500
12
0
12
1557.84462
5
3144.56941
4
12
1
12
1557.84789
10
3144.57892
4
12
1
11
1774.61649
5
3386.05253
7
12
2
11
1774.75134
4
3386.37963
2
12
2
10
1960.20734
9
3587.66690
6
12
3
10
1962.50712
5
3592.42410
3
12
3
9
2105.86817
8
3738.54344
3
12
4
9
2124.95165
6
3770.87905
3
12
4
8
2205.65297
8
3843.41067
4
12
5
8
2275.37304
4
3940.51965
3
12
5
7
2300.68559
6
3959.25372
15
12
6
7
2433.80069
5
4123.28552
5
12
6
6
2437.50240
9
4125.59929
8
12
7
6
2612.80001
10
4329.32469
3
12
7
5
2613.10489
15
4329.49608
7
12
8
5
2313.51265
4
4557.54665
8
12
8
4
2813.52439
5
4557.55517
3
12
9
4
3032.69024
35
4803.82055
20
12
9
3
3032.69100
100
4803.81559
30
12
10
3
3266.76420
150
5064.14164
80
12
10
2
3266.76420
150
5064.14164
80
12
11
2
3512.40130
300
12
11
1
3512.40130
300
13
0
13
1806.67025
4
3391.12631
3
13
1
13
1806.67177
4
3391.13077
5
13
1
12
2042.31078
3
3654.04911
3
13
2
12
2042.37415
8
3654.21528
3
13
2
11
2246.88510
5
3877.08877
4
13
3
11
2248.06476
4
3879.72084
3
13
3
10
2414.72363
7
4052.81112
3
13
4
10
2426.19643
5
4074.03884
3
13
4
9
2533.79337
4
4174.03887
6
13
5
9
2586.53000
10
4252.44849
5
13
5
8
2629.33470
9
4285.64776
5
13
6
8
2748.10002
6
4437.36800
300
13
6
7
2756.41553
8
4442.71319
6
13
7
7
2927.07546
20
4643.38091
5
13
7
6
2927.94162
12
4643.87103
4
13
8
6
3127.80589
10
4871.94829
16
13
8
5
3127.86215
20
4871.97891
40
13
9
5
3347.78075
100
5119.37130
300
13
9
4
3347.78155
35
5119.37300
300
14
0
14
2073.51507
6
3655.48283
8
14
1
14
2073.51575
5
3655.48536
7
14
1
13
2327.88399
4
3939.74656
3
14
2
13
2327.91431
4
3939.83207
4
14
2
12
2550.88255
4
4183.38924
3
14
3
12
2551.48382
4
4184.83151
3
14
3
11
2739.45102
15
4382.77976
7
14
4
11
2746.02377
6
4396.05169
7
14
4
10
2880.83399
25
4525.23970
7
14
5
10
2918.24536
13
4585.34832
10
14
5
9
2983.39644
200
4638.22755
12
14
6
9
3084.83699
25
4774.04438
5
14
6
8
3101.39838
7
4785.02730
150
14
7
8
3264.33798
50
4980.22344
15
14
7
7
3266.53760
50
4980.70002
30
14
8
7
3464.88624
35
5208.89582
50
14
8
6
3465.06010
150
5208.99346
300
14
9
6
3685.40320
300
14
9
5
3685.41400
300
15
0
15
2358.30190
25
3937.57270
15
15
1
15
2358.30220
25
3937.57270
15
15
1
14
2631.26912
5
4243.10988
4
15
2
14
2631.28495
30
4243.15431
8
15
2
13
2872.27435
30
4506.73415
3
15
3
13
2872.57160
60
4507.52265
7
15
3
12
3080.17905
7
4728.22150
5
15
4
12
3083.85400
300
4736.26442
35
15
4
11
3244.60104
9
4894.58616
7
15
5
11
3269.53110
300
4938.24110
300
15
5
10
3360.60072
45
5015.70437
45
15
6
10
3443.20520
300
5132.35344
300
15
6
9
3472.87815
300
5152.97074
35
15
7
9
3624.16330
300
15
7
8
3629.09527
100
15
8
8
3824.49550
300
15
8
7
3824.99430
300
16
0
16
2660.94550
65
4237.32140
45
16
1
16
2660.94570
39
4237.32140
45
16
1
15
2952.38700
40
4564.08762
8
16
2
15
2952.39426
15
4564.10991
30
16
2
14
3211.05635
100
4847.18009
8
16
3
14
3211.21322
11
4847.62213
8
16
3
13
3437.29742
40
5089.38249
50
16
4
13
3439.30697
50
5094.08461
8
16
4
12
3623.76499
300
5280.82060
300
16
5
12
3639.53872
300
5310.24044
50
16
5
11
3758.42880
300
16
6
11
3822.24560
300
5512.01472
40
16
6
10
3870.21160
300
17
0
17
2981.36320
200
4554.65170
300
17
1
17
2981.36320
200
4554.65170
300
17
1
16
3291.15042
100
4902.61457
12
17
2
16
3291.15300
300
4902.62698
12
17
2
15
3567.17585
300
5204.74922
35
17
3
15
3567.23690
400
5204.98855
35
17
3
14
3810.94020
300
5466.40277
50
17
4
14
3812.05050
300
17
4
13
4017.90890
300
5680.54940
200
18
0
18
3319.44690
100
4889.49150
35
18
1
18
3319.44690
100
4889.49150
35
18
1
17
3647.46320
300
5258.62780
300
18
2
17
3647.46510
300
5258.63390
300
18
2
16
3940.54400
300
5579.35920
300
18
3
16
3940.58722
600
19
0
19
3675.11600
300
5241.74200
300
19
1
19
3675.11600
300
5241.74200
300
19
1
18
4021.21770
300
5632.04710
300
20
0
20
4048.25240
300
5611.33600
300
20
1
20
4048.25240
300
5611.33600
300
The unceratainties of the level are in units of (inverse centimeters) × 105.
Table 3
Vibration-Rotation Energy-Level Parameters of the (000) and (010) States of H216O from a Least-Squares Fit of Experimental Data
Parameter
(000)
(010)
A
27.880692
31.130073
B
14.5214713
14.6869696
C
9.27788726
9.12945274
ΔK
3.2524317 × 10−2
5.84806398 × 10−2
ΔJK
−5.7932413 × 10−3
−7.8162903 × 10−3
Δj
1.2534582 × 10−3
1.401372 × 10−3
HK
1.260738 × 10−4
4.1614233 × 10−4
HKJ
−1.21938 × 10−5
−4.9221278 × 10−5
HJK
−3.750 × 10−6
0.0
HJ
5.33895 × 10−7
6.79864 × 10−7
LK
−8.2256 × 10−7
−4.2094 × 10−6
LKKJ
1.1394 × 10−7
0.0
PK
4.2031 × 10−9
3.0843 × 10−8
δK
1.2465 × 10−3
3.5924 × 10−3
δj
5.0771 × 10−4
5.81855 × 10−4
hK
1.92316 × 10−5
7.25278 × 10−5
hJK
−5.43662 × 10−7
−4.09175 × 10−7
hj
2.58626 × 10−7
3.56679 × 10−7
lK
−1.12545 × 10−7
−3.75136 × 10−7
Table 4
Transition Frequencies of H216O in the (010)–(010) and (000)–(000) Bands (cm−1)a
J
Ka
Kc
J
Ka
Kc
Observed Frequency
un
O − C
ud
*4
2
2
5
1
5
0.072049
1.0
−2.1
2
*4
2
3
3
3
0
0.400570
0.1
0.0
3
*5
3
2
4
4
1
0.895095
0.1
−0.5
2
*4
1
4
3
2
1
2.261685
0.3
−1.5
1
*4
4
0
5
3
3
3.210927
0.3
−0.3
3
*2
2
0
3
1
3
4.002634
0.3
0.4
1
*5
5
0
6
4
3
7.761593
0.2
0.3
4
*5
2
3
6
1
6
11.215346
0.7
−0.4
4
*4
2
2
3
3
1
15.449662
3.3
−4.8
2
*5
2
4
4
3
1
18.235636
3.3
3.6
2
*6
3
4
5
4
1
19.849726
3.3
−5.4
4
*1
1
0
1
0
1
21.948734
0.2
1.4
1
*3
2
1
2
1
2
142.27806
100
436
1
*8
1
8
7
0
7
157.02416
100
23
4
*3
3
0
2
2
1
165.30956
100
−59
2
*4
3
2
3
2
1
185.48075
100
15
1
*6
3
4
5
2
3
217.74277
100
−81
4
*4
4
1
3
3
0
221.98297
100
−48
2
*4
4
0
3
3
1
222.16626
100
−100
2
*5
3
2
4
2
3
222.47634
100
−164
3
*5
4
1
4
3
2
247.04784
100
101
3
*6
4
3
5
3
2
267.88396
100
−382
4
*7
4
4
6
3
3
286.92026
100
187
3
*7
4
3
6
3
4
300.42784
100
91
4
*6
5
2
5
4
1
300.99573
100
92
5
*7
5
2
6
4
3
325.78585
100
19
4
6
1
6
5
2
3
0.741682
0.3
−0.8
2
3
1
3
2
2
0
6.114567
0.3
−1.3
1
10
2
9
9
3
6
10.714934
0.3
0.4
6
5
1
5
4
2
2
10.845934
0.3
−0.6
2
4
1
4
3
2
1
12.682020
0.3
−2.0
1
10
3
7
11
2
10
13.013486
0.3
0.6
6
7
5
3
6
6
0
14.588315
0.3
1.5
4
6
4
3
5
5
0
14.648495
0.3
−1.5
2
7
5
2
6
6
1
14.777500
0.3
−1.0
4
4
2
3
3
3
0
14.943708
0.3
−2.2
1
6
4
2
5
5
1
15.707165
0.3
2.5
4
5
3
3
4
4
0
15.833925
0.3
0.5
2
6
2
4
7
1
7
16.294310
0.3
2.0
2
8
6
3
7
7
0
16.797238
0.3
−0.2
7
8
6
2
7
7
1
16.827731
0.3
0.1
6
1
1
0
1
0
1
18.577385
0.3
−0.8
1
5
3
2
4
4
1
20.704350
0.3
2.0
3
2
1
1
2
0
2
25.085128
0.3
0.1
1
4
2
2
3
3
1
30.560194
0.3
1.4
2
5
2
4
4
3
1
32.366225
0.3
0.5
3
2
0
2
1
1
1
32.953690
0.3
0.3
1
7
2
6
7
1
7
123.129033
0.3
0.3
2
3
1
2
3
0
3
36.60403
16
−12
1
1
1
1
0
0
0
37.13709
16
−3
1
3
1
2
2
2
1
38.46408
16
−10
1
6
3
4
5
4
1
38.63735
16
−11
3
3
2
1
3
1
2
38.79061
16
6
1
4
2
2
4
1
3
40.28243
16
−8
2
2
2
0
2
1
1
40.98795
16
−2
1
7
4
3
6
5
2
42.63838
16
−2
3
8
2
7
7
3
4
43.24340
16
−22
4
6
2
5
5
3
2
44.09924
16
−8
3
5
2
3
5
1
4
47.05316
16
0
3
7
2
6
6
3
3
48.05927
16
0
3
6
3
3
5
4
2
51.43437
16
−9
3
4
1
3
4
0
4
53.44416
16
−14
2
2
2
1
2
1
2
55.40533
16
7
1
2
1
2
1
0
1
55.70200
16
−1
1
4
3
2
5
0
5
57.16912
16
15
2
3
0
3
2
1
2
57.26528
16
−1
1
6
3
3
6
2
4
58.77541
16
−6
3
7
3
5
6
4
2
58.91410
16
1
4
6
2
4
6
1
5
59.86800
16
32
3
7
3
4
7
2
5
59.94692
16
14
4
5
3
2
5
2
3
62.30138
16
−6
3
8
4
5
7
5
2
62.87289
16
−17
3
5
2
3
4
3
2
63.99404
16
25
2
3
2
2
3
1
3
64.02304
16
8
1
8
3
5
8
2
6
67.24602
16
2
5
4
3
1
4
2
2
68.06300
16
3
3
4
1
3
3
2
2
69.19583
16
21
1
3
1
3
2
0
2
72.18770
16
2
1
3
3
0
3
2
1
73.26240
16
16
1
5
1
4
5
0
5
74.10959
16
−1
3
8
3
6
7
4
3
74.87896
16
16
3
4
2
3
4
1
4
75.52391
16
−2
1
9
4
5
9
3
6
77.31608
16
−19
6
7
2
5
7
1
6
78.19588
16
8
3
10
4
6
10
3
7
78.30365
16
14
8
3
3
1
3
2
2
78.91798
16
3
1
4
0
4
3
1
3
79.77428
16
0
2
9
3
6
9
2
7
80.99764
16
2
5
8
4
4
8
3
5
81.61791
16
3
4
4
3
2
4
2
3
82.15452
16
−7
1
12
4
9
13
1
12
82.63893
16
−194
7
9
3
7
8
4
4
84.45568
16
−11
5
7
3
4
6
4
3
85.63185
16
5
3
11
4
7
11
3
8
85.78477
16
2
7
10
3
8
9
4
5
85.89278
16
−15
4
5
3
3
5
2
4
87.75941
16
−3
3
4
1
4
3
0
3
88.07670
16
−4
1
7
4
3
7
3
4
88.88060
16
5
4
5
2
4
5
1
5
89.58323
16
−2
2
2
2
1
1
1
0
92.52981
16
−7
1
6
3
4
6
2
5
96.06730
16
−1
3
6
1
5
6
0
6
96.20908
16
−17
3
6
4
2
6
3
3
96.23115
16
−17
4
6
2
4
5
3
3
98.80528
16
−2
3
2
2
0
1
1
1
99.02676
16
−2
1
5
1
4
4
2
3
99.09500
16
−22
2
11
5
6
11
4
7
99.98710
16
−9
7
8
2
6
8
1
7
100.02144
16
14
6
10
3
7
10
2
8
100.18074
16
−27
5
5
0
5
4
1
4
100.50941
16
−14
2
5
4
1
5
3
2
101.52912
16
−5
3
10
4
7
9
5
4
104.03833
16
−42
5
4
4
0
4
3
1
104.29175
16
1
2
5
1
5
4
0
4
104.57251
16
−24
2
9
4
5
8
5
4
105.06834
16
−33
4
4
4
1
4
3
2
105.59066
16
−24
2
6
2
5
6
1
6
105.65890
16
−17
2
5
4
2
5
3
3
106.14626
16
−5
3
7
3
5
7
2
6
107.08607
16
−7
3
6
4
3
6
3
4
107.74609
16
−5
2
10
5
5
10
4
6
108.25210
16
−38
11
7
4
4
7
3
5
111.04966
16
3
4
3
2
2
2
1
1
111.12548
16
−3
1
8
4
5
8
3
6
116.59263
16
3
3
9
5
4
9
4
5
117.06200
16
2
6
7
1
6
7
0
7
117.97053
16
4
3
6
0
6
5
1
5
120.07107
16
1
2
8
3
6
8
2
7
120.51567
16
−6
3
6
1
6
5
0
5
121.90449
16
4
2
8
3
5
7
4
4
122.41384
16
8
4
11
3
8
11
2
9
122.55885
16
−14
4
9
2
7
9
1
8
122.84186
16
−10
3
8
5
3
8
4
4
124.13592
16
−13
4
9
4
6
9
3
7
124.65360
16
0
4
6
1
5
5
2
4
126.69700
16
−6
3
4
2
3
3
1
2
126.99655
16
3
1
7
5
2
7
4
3
128.59828
16
−6
3
6
5
1
6
4
2
130.85244
16
−6
4
5
5
0
5
4
1
131.73519
16
10
3
6
5
2
6
4
3
131.87394
16
−1
2
7
5
3
7
4
4
131.90270
16
−9
4
5
5
1
5
4
2
131.95858
16
−6
3
8
5
4
8
4
5
132.45823
16
2
4
3
2
1
2
1
2
132.65990
16
−9
1
7
2
5
6
3
4
133.43107
16
−9
3
9
5
5
9
4
6
134.09587
16
−10
4
10
4
7
10
3
8
135.20783
16
3
4
9
3
7
9
2
8
135.84573
16
−20
5
10
5
6
10
4
7
137.38294
16
17
6
8
1
7
8
0
8
138.82664
16
−9
5
7
0
7
6
1
6
138.99126
16
1
2
7
1
7
6
0
6
139.78256
16
−8
2
5
2
4
4
1
3
140.71165
16
−5
2
8
2
7
8
1
8
141.43745
16
−12
3
10
2
8
10
1
9
144.95035
16
−1
4
11
6
5
11
5
6
145.05084
16
−19
8
11
4
8
11
3
9
147.96106
16
11
4
3
3
0
3
0
3
148.65694
16
0
1
3
3
1
2
2
0
149.05524
16
−25
1
3
3
0
2
2
1
150.51704
16
7
1
10
6
4
10
5
5
150.75623
16
−6
10
7
1
6
6
2
5
151.30281
16
14
3
10
3
8
10
2
9
152.49411
16
−16
5
6
2
5
5
1
4
153.45387
16
−5
3
9
6
3
9
5
4
154.08567
16
−2
7
8
6
2
8
5
3
155.73035
16
−1
4
10
6
5
10
5
6
156.25424
16
2
8
9
6
4
9
5
5
156.26472
16
10
4
7
6
1
7
5
2
156.35901
16
−6
4
6
6
0
6
5
1
156.42571
16
0
4
8
6
3
8
5
4
156.44481
16
6
4
6
6
1
6
5
2
156.45916
16
−7
4
7
6
2
7
5
3
156.54319
16
6
4
14
6
9
13
7
6
156.89833
16
296
28
8
0
8
7
1
7
157.58450
16
−3
3
8
1
8
7
0
7
157.91910
16
−2
3
9
1
8
9
0
9
158.91125
16
7
2
9
2
8
9
1
9
160.17543
16
9
4
9
3
6
8
4
5
160.21050
16
−11
5
4
3
1
4
0
4
161.78980
16
2
3
12
4
9
12
3
10
162.44330
16
−123
8
11
2
9
11
1
10
165.81653
16
0
4
8
2
6
7
3
5
166.21750
16
11
4
7
2
6
6
1
5
166.70245
16
3
3
11
3
9
11
2
10
169.93268
16
1
6
4
3
2
3
2
1
170.36056
16
0
1
8
1
7
7
2
6
173.28212
16
−11
4
4
2
2
3
1
3
173.50106
16
−3
2
9
0
9
8
1
8
176.00575
16
0
2
9
1
9
8
0
8
176.14627
16
−16
4
4
3
1
3
2
2
177.54103
16
−7
2
10
1
9
10
0
10
178.48587
16
−1
5
7
7
0
7
6
1
178.61983
16
12
7
8
7
1
8
6
2
179.04874
16
−8
4
8
7
2
8
6
3
179.07982
16
110
6
10
2
9
10
1
10
179.08424
16
9
5
9
7
2
9
6
3
179.20474
16
−16
11
10
7
4
10
6
5
179.37238
16
16
13
11
4
7
10
5
6
180.28915
16
−15
8
8
2
7
7
1
6
181.38626
16
6
3
5
3
2
5
0
5
183.46411
16
−9
3
12
3
10
12
2
11
187.75593
16
15
6
5
3
3
4
2
2
188.18867
16
4
3
9
1
8
8
2
7
193.47937
16
1
3
10
0
10
9
1
9
194.32229
16
4
5
10
1
10
9
0
9
194.38154
16
0
3
9
2
7
8
3
6
195.80563
16
4
3
10
3
7
9
4
6
197.26473
16
10
4
9
2
8
8
1
7
197.49514
16
10
5
11
1
10
11
0
11
197.73804
16
13
4
11
2
10
11
1
11
198.01830
16
−10
6
8
8
0
8
7
1
198.35279
16
−5
15
9
8
1
9
7
2
199.21706
16
−8
21
6
3
4
5
2
3
202.46792
16
−15
3
4
4
1
3
3
0
202.68895
16
−27
2
4
4
0
3
3
1
202.91477
16
−12
1
5
3
2
4
2
3
208.44974
16
−8
2
5
4
1
5
1
4
210.88372
16
−5
3
11
0
11
10
1
10
212.55985
16
−26
4
11
1
11
10
0
10
212.58535
16
−2
5
10
1
9
9
2
8
212.63284
16
5
4
7
3
5
6
2
4
213.92060
16
−28
3
10
2
9
9
1
8
214.55449
16
−2
4
6
3
3
6
0
6
214.85241
16
1
3
6
4
2
6
1
5
214.87455
16
8
4
3
3
1
2
0
2
215.12847
16
−11
1
12
1
11
12
0
12
216.77188
16
1
7
12
2
11
12
1
12
216.90344
16
−1
11
5
2
3
4
1
4
221.67228
16
−3
2
10
2
8
9
3
7
221.73736
16
14
5
8
3
6
7
2
5
223.70611
16
−2
3
5
4
2
4
3
1
226.27204
16
7
3
7
4
3
7
1
6
227.02311
16
−2
3
5
4
1
4
3
2
227.82417
16
−23
2
12
0
12
11
1
11
230.72705
16
22
6
12
1
12
11
0
11
230.73776
16
3
10
11
1
10
10
2
9
231.21388
16
1
4
11
3
8
10
4
7
231.88752
16
20
4
11
2
10
10
1
9
232.11793
16
4
6
9
3
7
8
2
6
233.31965
16
−2
6
13
1
12
13
0
13
235.64063
16
10
5
10
3
8
9
2
7
244.20672
16
−10
4
11
2
9
10
3
8
244.53634
16
21
4
6
3
3
5
2
4
245.34034
16
13
3
4
3
2
3
0
3
245.75525
16
−1
1
6
4
3
5
3
2
247.91272
16
−5
2
13
0
13
12
1
12
248.82255
16
19
11
8
4
4
8
1
7
248.88522
16
4
5
12
1
11
11
2
10
249.48039
16
9
7
12
2
11
11
1
10
249.90333
16
6
4
6
4
2
5
3
3
253.81209
16
0
4
5
5
1
4
4
0
253.93904
16
17
2
5
5
0
4
4
1
253.96858
16
−1
3
7
3
4
7
0
7
256.11321
16
14
4
11
3
9
10
2
8
257.10029
16
9
4
4
4
1
4
1
4
263.26945
16
3
2
12
2
10
11
3
9
265.13892
16
44
9
7
4
4
6
3
3
266.19519
16
15
4
14
0
14
13
1
13
266.84517
16
187
7
14
1
14
13
0
13
266.84517
16
−33
6
13
1
12
12
2
11
267.55966
16
22
5
13
2
12
12
1
11
267.75806
16
40
9
12
3
10
11
2
9
271.84267
16
15
6
8
5
3
8
2
6
273.00022
16
29
5
9
5
4
9
2
7
275.37622
16
35
5
6
2
4
5
1
5
276.14812
16
13
2
7
5
2
7
2
5
277.42581
16
14
3
6
5
2
5
4
1
278.25760
16
5
3
6
5
1
5
4
2
278.51840
16
12
4
8
4
5
7
3
4
280.35220
16
25
4
9
4
5
9
1
8
281.15596
16
11
4
5
3
3
4
0
4
281.91559
16
15
3
7
4
3
6
3
4
282.25861
16
12
3
5
4
2
5
1
5
283.48931
16
31
2
13
2
11
12
3
10
284.37813
16
15
7
15
0
15
14
1
14
284.78627
16
12
25
15
1
15
14
0
14
284.78627
16
−86
26
14
2
13
13
1
12
285.60369
16
16
5
7
3
4
6
2
5
289.44545
16
20
4
9
4
6
8
3
5
290.72747
16
20
4
10
4
7
9
3
6
298.41714
16
14
5
7
5
3
6
4
2
301.86679
16
28
4
6
6
1
5
5
0
302.98285
16
116
4
6
6
0
5
5
1
302.98285
16
−250
4
7
5
2
6
4
3
303.11093
16
24
2
11
4
8
10
3
7
304.88055
16
41
5
12
4
9
11
3
8
311.72853
16
47
7
4
4
1
3
1
2
314.74240
16
39
2
8
4
4
7
3
5
315.08156
16
29
4
6
3
4
5
0
5
323.63147
16
64
3
8
5
4
7
4
3
323.92871
16
−90
4
7
6
2
6
5
1
327.55790
16
76
4
7
6
1
6
5
2
327.59558
16
−23
4
8
5
3
7
4
4
328.16808
16
39
4
5
4
2
4
1
3
334.61796
16
51
2
7
2
5
6
1
6
335.15772
16
18
2
8
3
5
7
2
6
340.55021
16
68
4
9
5
5
8
4
4
343.20590
16
54
4
7
7
1
6
6
0
349.75583
16
0
6
7
7
0
6
6
1
349.75584
16
−45
7
11
10
1
10
9
2
501.57203
3
−1
47
10
4
7
9
1
8
502.25802
3
144
3
13
5
8
12
4
9
504.38306
3
1
11
7
5
2
6
2
5
506.92483
3
69
3
12
9
4
11
8
3
510.42930
3
451
53
12
4
8
11
3
9
510.58403
3
−8
9
11
11
0
10
10
1
514.30482
3
0
301
13
8
5
12
7
6
515.06211
3
−3
22
10
5
6
9
2
7
516.79775
3
36
6
10
2
8
9
1
9
517.75917
3
68
4
11
3
8
10
2
9
519.58952
3
13
5
10
3
8
9
0
9
525.96024
3
28
3
12
10
3
11
9
2
526.34358
3
38
150
6
6
1
5
3
2
536.24615
3
20
4
6
6
0
5
3
3
541.09037
3
7
4
8
4
4
7
1
7
545.29660
3
16
3
8
5
3
7
2
6
546.30359
3
13
4
11
5
7
10
2
8
547.81661
3
15
4
11
4
8
10
1
9
550.01159
3
8
4
7
6
2
6
3
3
554.64087
3
−9
4
6
5
2
5
0
5
563.25099
3
7
3
7
6
1
6
3
4
567.21597
3
7
4
8
6
3
7
3
4
569.25512
3
21
4
13
4
9
12
3
10
571.28643
3
18
6
11
2
9
10
1
10
576.11444
3
−11
4
11
3
9
10
0
10
580.53641
3
−3
5
12
3
9
11
2
10
580.73189
3
−9
9
9
6
4
8
3
5
581.08810
3
24
4
12
5
8
11
2
9
584.70877
3
33
5
9
5
4
8
2
7
591.69728
3
9
5
10
6
5
9
3
6
592.05415
3
16
7
8
6
2
7
3
5
594.94735
3
−33
4
12
4
9
11
1
10
600.10368
3
10
6
11
6
6
10
3
7
604.44853
3
30
7
7
5
3
6
0
6
612.95023
3
0
4
9
4
5
8
1
8
616.07278
3
0
4
12
6
7
11
3
8
620.57733
3
23
6
9
6
3
8
3
6
625.26726
3
11
5
13
5
9
12
2
10
626.32242
3
−24
13
12
2
10
11
1
11
633.08992
3
37
9
12
3
10
11
0
11
635.39701
3
5
6
7
7
1
6
4
2
637.03392
3
−12
6
7
7
0
6
4
3
638.08957
3
10
6
13
3
10
12
2
11
639.97230
3
1
8
10
5
5
9
2
8
644.32015
3
0
9
13
4
10
12
1
11
651.58024
3
30
7
10
6
4
9
3
7
659.23058
3
7
7
8
7
2
7
4
3
659.45309
3
1
5
8
7
1
7
4
4
662.94680
3
−7
4
8
5
4
7
0
7
668.92369
3
46
4
14
5
10
13
2
11
671.36010
3
−16
14
9
7
3
8
4
4
678.80798
3
8
7
9
7
2
8
4
5
687.87946
3
1
10
13
2
11
12
1
12
689.03703
3
−18
11
13
3
11
12
0
12
690.22009
3
−5
6
10
7
4
9
4
5
694.11012
3
18
12
10
4
6
9
1
9
696.24299
3
−2
8
14
3
11
13
2
12
697.05439
3
−2248
17
11
6
5
10
3
8
697.91815
3
6
8
14
4
11
13
1
12
703.71295
3
−4
7
8
6
3
7
1
6
707.39737
3
−12
4
10
7
3
9
4
6
713.48385
3
−5
10
12
7
6
11
4
7
713.79165
3
−2
12
un, O − C, and ud are in units of (inverse centimeters) × 105, where un is the uncertainty in the observed frequency, 0 − C is the observed minus the computed frequency, and ud is the estimated uncertainty in the computed frequency. The asterisks denote measurements in the (010)–(010) band. All other entries are measurements in the (000)–(000) band. Observed frequencies given to six places after the decimal are microwave measurements taken from Refs. 7–10 for the (000)–(000) band and from Refs. 11–14 for the (010)–(010) band. Other measurements are far-infrared observations taken from Ref. 4 for (000)–(000) transitions below 350 cm−1 and from Ref. 5 for the (000)–(000) band above 500 cm−1. Far-infrared measurements in the (010)–(010) band were taken from Ref. 6.
Table 5
Matrix Elements Used in the Expansion of the Dipole Moment for B-Type Transitions of Water Vapor
J′(J′ + 1) if m = 0 and J = Kc or J′ = Kc′, otherwise 0
18
1
J′(J′ + 1) if m = 0 and J = Kc or J′ = Kc′ −1, otherwise 0
19
1
J′(J′ + 1) if m ≠ 0 and J = Kc or J′ = Kc′, otherwise 0
Taken from Flaud and Camy-Peyret.29J′ − J = 0, ±1; m = [J′(J′ + 1) − J(J + 1)]/2; K′ − K = nΔK.
Table 6
Standard Deviation, σ%,a in Percent Resulting from Various Methods of Fitting the Measured Line Strengths of the (010)–(000) Band of H216O by Least Squares
The values given within parentheses are estimated uncertainties in the last digit(s).
Taken from Ref. 28.
Table 8
Line Positions (cm−1) and Strengths (cm−2/atm at 296 K) Observed in the (010)–(000) Band of H216Oa
Observed Position
O − C
Upper
Lower
Observed Strength
%s
(O − C)%
R
J
Ka
Kc
J
Ka
Kc
1066.1549
42
9
0
9
10
3
8
1.35E-03
5
−0.1
1.36
1072.61350
0
10
2
8
11
5
7
{8.04E-05}
1.26
1074.40715
1
9
1
9
10
2
8
{4.84E-04}
1.36
1091.20477
0
10
2
9
11
3
8
{6.81E-04}
1.32
1099.67920
2
9
2
7
10
5
6
{5.43E-04}
1.20
1101.45040
−12
6
2
5
7
5
2
{5.53E-04}
1.13
1106.7436
−23
9
1
8
10
4
7
1.97E-0315
15
20.8
1.27
1111.51607
−10
6
1
6
7
4
3
{8.30E-04}
1.22
1117.6165
−51
11
3
9
12
4
8
{7.64E-05}
1.27
1120.83180
−19
8
2
6
9
5
5
{3.10E-04}
1.17
1121.2320
3
8
0
8
9
3
7
1.45E-03
10
7.8
1.30
1135.5200
7
5
2
4
6
5
1
{1.94E-04}
1.11
1135.74521
−7
8
1
8
9
2
7
{4.61E-03}
1.29
1137.4295
9
7
2
5
8
5
4
1.15E-03
5
−4.5
1.14
1149.46895
−14
8
1
7
9
4
5
{1.38E-03}
1.22
1151.05011
0
13
5
9
14
6
8
{4.29E-06}
1.25
1151.54384
−5
6
2
4
7
5
3
{3.97E-04}
1.13
1152.44403
−2
9
2
8
10
3
7
£9.20E-04}
1.25
1165.0488
0
5
1
5
6
4
2
{5.41E-04}
1.19
1165.3695
−42
5
2
3
6
5
2
1.04E-03
15
15.9
1.11
1173.7183
4
10
3
8
11
4
7
1.39E-03
15
15.8
1.20
1174.5269
−4
7
0
7
8
3
6
1.10E-02
8
2.9
1.24
1180.8282
19
4
2
2
5
5
1
{1.31E-04}
1.08
1187.0214
−27
7
1
6
8
4
5
8.50E-03
5
−0.7
1.19
1198.1780
−17
7
1
7
8
2
6
5.00E-03
10
6.9
1.23
1211.2551
−44
4
1
4
5
4
1
1.85E-03
5
−4.7
1.16
1212.2468
10
8
2
7
9
3
6
1.12E-02
3
2.8
1.19
1213.00675
−5
11
5
7
12
6
6
{1.16E-04}
1.09
1214.95825
−2
8
1
8
8
4
5
{1.91E-04}
0.91
1218.5190
−73
6
1
5
7
4
4
4.56E-03
10
7.0
1.16
1220.34460
−2
11
6
5
12
7
6
{2.08E-04}
1.03
1224.82730
0
11
7
5
12
8
4
{3.35E-05}
0.98
1224.8910
−6
11
7
4
12
8
5
{1.01E-04}
0.98
1224.97775
4
9
3
7
10
4
6
{1.86E-03}
1.14
1225.08616
−3
6
0
6
7
3
5
{8.18E-03}
1.20
1225.5512
−1
10
4
7
11
5
6
1.79E-03
5
−0.5
1.11
1226.10365
10
11
5
6
12
6
7
{3.57E-04}
1.07
1229.363
−68
9
0
9
9
3
6
{1.77E-04}
0.99
1239.2186
−48
10
5
6
11
6
5
1.37E-03
10
−7.1
1.04
1242.7991
−3
10
6
5
11
7
4
8.07E-04
5
−3.1
0.98
1244.1382
2
5
1
4
6
4
3
1.28E-02
5
0.0
1.14
1258.6172
−35
9
4
6
10
5
5
2.49E-03
3
−0.8
1.07
1260.3431
−40
6
1
6
7
2
5
4.10E-02
3
−0.8
1.17
1264.0138
−18
9
5
5
10
6
4
2.14E-03
15
14.5
1.01
1265.3550
−22
4
1
3
5
4
2
2.73E-03
5
0.0
1.13
1266.0727
−20
9
5
4
10
6
5
5.32E-03
5
−3.4
1.01
1268.3822
−5
7
2
6
8
3
5
1.36E-02
2
−1.3
1.14
1269.95721
−1
8
3
6
9
4
5
2.33E-02
3
−1.5
1.10
1271.78783
1
5
0
5
6
3
4
4.50E-02
2
−2.2
1.16
1280.0475
4
9
4
5
10
5
6
8.09E-03
3
0.2
1.05
1286.0288
28
6
1
6
6
4
3
9.64E-04
5
0.3
0.97
1287.4001
2
8
4
5
9
5
4
2.60E-02
3
−2.8
1.05
1288.2498
−14
8
5
4
9
6
3
1.75E-02
5
−3.4
0.99
1288.88654
2
8
5
3
9
6
4
5.89E-03
5
−2.5
0.99
1290.5359
9
8
6
3
9
7
2
9.95E-03
2
1.9
0.92
1290.55885
5
8
6
2
9
7
3
3.50E-03
10
7.2
0.92
*1292.37167
29
9
9
0
10
10
1
{3.31E-04}
0.87
*1296.4898
−28
8
7
2
9
8
1
6.38E-03
6
4.1
0.85
1296.70938
10
8
4
4
9
5
5
9.45E-03
3
3.3
1.04
*1297.1829
−56
14
1
14
15
0
15
{8.06E-04}
1.21
*1305.4883
18
8
8
1
9
9
0
2.55E-03
6
−5.4
0.81
1306.2877
−5
15
1
15
15
2
14
3.55E-05
5
−1.2
1.38
1308.17885
−2
7
3
5
8
4
4
2.82E-02
3
−0.6
1.08
1308.462
39
14
1
13
15
2
14
4.81E-05
5
2.9
1.08
1311.89240
2
5
2
3
5
5
0
2.56E-04
4
−2.4
0.89
1312.34702
1
12
3
9
13
4
10
8.21E-05
3
3.7
1.02
1312.39952
2
7
5
3
8
6
2
1.78E-02
2
0.6
0.97
1312.55566
2
7
5
2
8
6
3
5.22E-02
2
−1.7
0.97
1312.71457
−1
5
1
5
5
4
2
3.85E-04
2
−2.5
1.00
1313.48302
−2
4
0
4
5
3
3
2.20E-02
5
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0.89
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1893.7171
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0.88
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0.88
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1.47
1904.35500
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1.08
1904.76080
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5.31E-04
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4.7
0.98
1907.95916
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9.85E-02
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18
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6.63E-05
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1.00
1909.96397
1
7
3
4
6
2
5
1.93E-01
5
−2.1
1.04
1914.58168
3
13
2
11
12
3
10
2.50E-03
4
1.8
0.86
1915.19558
1
15
1
14
14
2
13
7.40E-04
3
2.0
0.86
1915.27032
0
15
2
14
14
1
13
2.44E-04
3
0.9
0.86
1918.00680
3
5
5
1
4
4
0
2.30E-01
10
−7.2
1.02
1918.03541
3
5
5
0
4
4
1
6.90E-01
10
−7.2
1.02
1919.51347
−3
13
3
11
12
2
10
8.21E-04
2
−0.6
0.85
1919.68677
−4
9
4
5
9
1
8
9.86E-04
2
0.6
1.07
1922.34091
2
8
4
5
7
3
4
1.33E-01
3
0.6
1.00
1923.16054
2
7
4
3
6
3
4
2.58E-01
3
−9.4
1.02
1925.06978
−13
5
4
2
5
1
5
2.76E-04
3
3.1
0.98
1926.72597
−1
8
3
5
8
0
8
2.73E-04
2
−1.0
1.06
1927.85948
1
13
3
10
12
4
9
6.56E-04
3
−2.6
0.80
1930.870
262
15
5
10
14
6
9
3.08E-06
10
4.5
0.59
1932.80267
0
16
1
15
15
2
14
5.90E-05
3
−1.4
0.84
1932.84075
−4
16
2
15
15
1
14
1.75E-04
2
−2.6
0.84
1933.16543
−1
9
4
6
8
3
5
1.82E-02
2
2.0
0.97
1935.32447
−1
14
2
12
13
3
11
2.24E-04
2
−2.9
0.82
*1936.220
0
20
1
20
19
0
19
4.26E-06
15
30.8
0.98
1937.22033
−5
8
5
3
8
2
6
2.65E-04
2
1.6
1.00
1937.94643
2
14
3
12
13
2
11
6.88E-04
2
−1.0
0.83
1938.70970
0
14
4
10
13
5
9
1.50E-05
3
−3.8
0.71
1939.12452
1
9
5
4
9
2
7
5.41E-04
2
1.7
1.03
*1940.2672
−18
8
8
1
8
7
2
5.66E-04
2
−1.5
0.82
1941.62749
2
10
4
7
9
3
6
2.05E-02
2
0.5
0.94
1941.75732
−1
7
5
2
7
2
5
7.60E-04
5
0.9
0.99
1941.8282
−3
9
8
1
9
7
2
{2.80E-04}
0.81
1941.8329
25
9
8
2
9
7
3
{9.37E-05}
0.81
1942.51614
6
6
5
2
5
4
1
4.00E-01
10
1.1
1.02
1942.76537
2
6
5
1
5
4
2
1.21E-01
5
−8.6
1.03
1943.1398
5
10
8
2
10
7
3
3.97E-05
3
−4.2
0.80
1943.16295
1
10
8
3
10
7
4
1.24E-04
2
−0.9
0.80
1944.0381
81
13
8
5
13
7
6
3.05E-06
15
−16.4
0.80
1944.07061
4
11
8
3
11
7
4
4.27E-05
2
−3.4
0.80
1944.1613
0
11
8
4
11
7
5
1.46E-05
3
−0.8
0.80
1944.45030
2
12
8
4
12
7
5
4.23E-06
3
−5.2
0.80
1944.5561
174
14
8
7
14
7
8
9.00E-07
15
8.2
0.81
1944.7465
−14
12
8
5
12
7
6
1.33E-05
2
−0.5
0.80
1944.873
17
13
8
6
13
7
7
{1.18E-06}
0.80
1945.34029
0
7
2
5
6
1
6
5.10E-02
3
2.4
1.08
1946.36443
1
6
3
4
5
0
5
5.10E-02
4
1.7
1.09
1949.24979
2
11
4
8
10
3
7
2.49E-03
3
2.3
0.91
1949.43209
−1
10
5
5
10
2
8
7.55E-05
3
−4.0
1.05
1950.10630
−6
6
5
1
6
2
4
1.57E-04
2
0.2
0.97
1950.22031
0
17
1
16
16
2
15
3.90E-05
2
−3.5
0.81
1950.23998
0
17
2
16
16
1
15
1.30E-05
4
−3.5
0.82
1951.12916
−5
6
4
3
6
1
6
6.33E-04
2
1.8
0.99
1954.99593
2
8
4
4
7
3
5
3.60E-02
3
0.5
1.02
1955.25033
0
15
2
13
14
3
12
1.71E-04
2
−2.5
0.79
1956.23345
−1
4
4
1
3
1
2
2.78E-03
3
−1.5
1.08
1956.58333
0
14
3
11
13
4
10
5.81E-05
2
−6.8
0.77
1956.64010
0
15
3
13
14
2
12
5.60E-05
3
−4.5
0.80
1957.65549
3
12
4
9
11
3
8
2.46E-03
3
1.9
0.87
1959.63247
−2
5
5
0
5
2
3
1.62E-04
2
0.2
0.96
1960.71980
−7
10
4
6
10
1
9
6.13E-05
4
−5.7
1.10
1961.18143
−5
8
3
5
7
2
6
1.96E-02
3
1.7
1.05
1966.26132
5
7
5
3
6
4
2
6.20E-02
4
−1.3
1.02
1967.44238
3
7
5
2
6
4
3
1.86E-01
3
−1.1
1.02
1968.17070
3
13
4
10
12
3
9
2.32E-04
3
−3.9
0.83
1969.23960
−4
11
5
6
11
2
9
6.63E-05
2
−4.4
1.09
1974.60849
0
16
2
14
15
3
13
1.31E-05
3
−2.1
0.77
1975.34778
0
16
3
14
15
2
13
3.87E-05
4
−3.8
0.76
1976.19831
−5
5
4
2
4
1
3
3.24E-03
3
9.2
1.09
1976.34080
0
15
4
11
14
5
10
1.13E-05
6
−0.2
0.68
1981.32800
−6
14
4
11
13
3
10
1.90E-04
3
−2.2
0.79
1982.19773
0
15
3
12
14
4
11
4.34E-05
3
−4.6
0.74
1983.02883
−3
7
4
4
7
1
7
1.05E-04
6
4.2
1.01
*1984.4551
−39
9
9
0
9
8
1
5.53E-05
6
−4.4
0.78
1984.50205
−4
9
3
6
9
0
9
1.28E-04
3
−6.1
1.08
*1984.582
0
19
1
18
18
2
17
2.14E-06
10
3.8
0.76
*1986.6583
4
10
9
2
10
8
3
3.21E-05
3
−3.5
0.75
1987.34020
−3
4
4
0
3
1
3
3.59E-04
2
4.2
1.11
1988.39592
3
8
5
4
7
4
3
7.71E-02
3
−3.3
1.01
*1988.637
68
11
9
2
11
8
3
1.30E-05
7
−0.4
0.72
1989.9323
1
5
5
1
5
2
4
2.90E-05
3
−1.4
0.96
1990.2912
0
12
9
3
12
8
4
1.09E-06
5
4.8
0.71
1990.3079
0
12
9
4
12
8
5
3.33E-06
5
6.7
0.70
1991.8857
−72
6
6
1
5
5
0
1.88E-01
5
−5.9
1.03
1991.8899
0
6
6
0
5
5
1
6.28E-02
5
−5.7
1.04
1992.38818
4
8
5
3
7
4
4
2.64E-02
3
0.2
1.01
1992.65044
0
9
4
5
8
3
6
3.29E-02
3
−1.1
1.01
1993.25792
−1
7
3
5
6
0
6
9.30E-03
4
6.8
1.10
1993.5360
0
17
2
15
16
3
14
8.50E-06
10
2.1
0.73
1993.9322
0
17
3
15
16
2
14
3.00E-06
10
7.8
0.73
1996.8134
0
15
4
12
14
3
11
1.63E-05
4
5.1
0.75
1998.92403
−3
6
4
3
5
1
4
1.48E-02
3
1.4
1.10
1999.94584
−9
6
5
2
6
2
5
1.60E-04
3
0.0
0.97
2007.70027
−1
9
5
5
8
4
4
1.01E-02
3
1.3
0.99
2009.33376
−3
8
2
6
7
1
7
5.33E-03
3
0.3
1.09
2011.02261
1
11
4
7
11
1
10
2.62E-05
3
−4.7
1.15
2013.90556
0
16
4
13
15
3
12
9.83E-06
4
−1.3
0.71
2014.43328
−4
7
5
3
7
2
6
4.78E-05
3
0.1
0.99
2016.79803
3
7
6
2
6
5
1
3.14E-02
3
0.0
1.04
2016.83476
−1
7
6
1
6
5
2
9.65E-02
3
2.5
1.04
2018.33750
0
9
5
4
8
4
5
2.92E-02
3
0.6
1.00
2019.07025
−2
9
3
6
8
2
7
1.50E-02
3
0.4
1.04
2019.7314
28
12
6
6
12
3
9
1.76E-06
7
−5.7
1.07
2019.92104
0
11
6
5
11
3
8
1.18E-05
4
−8.6
1.05
2020.53481
−3
8
4
5
8
1
8
9.45E-05
2
−5.1
1.02
2023.03012
2
10
5
6
9
4
5
1.01E-02
2
0.8
0.96
*2025.9381
−24
10
10
1
10
9
2
5.14E-06
10
4.4
0.75
2026.60225
0
7
4
4
6
1
5
5.21E-03
2
6.2
1.10
2026.8542
10
10
6
4
10
3
7
6.97E-06
4
−0.4
1.03
2027.02416
−3
5
4
1
4
1
4
1.85E-03
3
5.3
1.14
2027.0958
0
17
3
14
16
4
13
{1.91E-06}
0.66
2027.9902
64
13
6
7
13
3
10
1.63E-06
8
−1.6
1.11
*2028.8119
−1
11
10
1
11
9
2
2.28E-06
6
−8.4
0.69
2030.3442
−258
19
2
17
18
3
16
3.66E-07
15
26.8
0.66
*2031.4514
0
12
10
3
12
9
4
5.03E-07
15
−72.2
0.63
2034.03276
−6
8
5
4
8
2
7
7.85E-05
3
−1.2
1.02
2034.05604
2
11
5
7
10
4
6
1.01E-03
2
−0.9
0.92
2037.50672
−1
10
4
6
9
3
7
2.88E-03
2
2.9
1.00
2038.09424
6
9
6
3
9
3
6
2.60E-05
3
3.3
1.03
2038.7625
−16
13
5
8
13
2
11
2.02E-06
10
8.8
1.23
2041.28814
−18
8
6
3
7
5
2
3.91E-02
3
−1.6
1.03
2041.49557
2
8
6
2
7
5
3
1.37E-02
3
3.4
1.02
2041.51132
1
12
5
8
11
4
7
8.40E-04
4
−2.8
0.88
2043.94910
−2
8
3
6
7
0
7
1.12E-02
4
2.3
1.10
2046.51575
3
10
5
5
9
4
6
3.22E-03
3
5.2
0.98
2046.79545
−7
13
5
9
12
4
8
7.27E-05
3
−4.5
0.83
2047.7269
32
10
3
7
10
0
10
4.77E-06
10
−15.9
1.12
2050.3016
0
18
4
5
17
3
14
4.11E-07
15
18.5
0.63
2050.98456
−2
8
6
2
8
3
5
7.75E-06
3
2.2
1.04
2051.55499
4
14
5
10
13
4
9
5.45E-05
2
−2.9
0.78
2059.09042
0
9
5
5
9
2
8
1.03E-05
2
6.5
1.06
2060.48345
−2
8
4
5
7
1
6
9.76E-03
3
1.6
1.10
2063.07694
2
7
6
1
7
3
4
1.52E-05
3
0.6
1.07
2063.11298
−6
9
4
6
9
1
9
6.87E-06
7
−6.6
1.06
*2064.8534
−26
7
7
0
6
6
1
4.86E-02
10
−8.9
1.07
2065.01823
−2
9
6
4
8
5
3
5.03E-03
3
1.0
1.01
2065.6394
0
16
5
12
15
4
11
3.62E-06
15
28.1
0.67
2065.84654
−4
9
6
3
8
5
4
1.52E-02
2
1.9
1.01
2072.4139
−18
6
6
0
6
3
3
2.00E-06
10
−0.6
1.12
2072.54000
−7
6
4
2
5
1
5
5.14E-04
2
4.3
1.19
2074.23539
−7
9
2
7
8
1
8
5.10E-03
2
4.5
1.09
2078.56802
5
11
5
6
10
4
7
2.52E-03
2
3.4
0.96
2080.7954
15
5
5
0
5
0
5
8.28E-07
15
−42.5
1.04
2081.87349
0
10
3
7
9
2
8
1.18E-03
2
0.1
1.04
2084.9842
15
6
6
1
6
3
4
3.81E-06
15
−16.5
1.20
2087.40765
−4
10
6
5
9
5
4
5.20E-03
3
4.1
0.98
2088.7366
19
7
6
2
7
3
5
2.58E-06
4
−2.5
1.20
2089.63144
0
10
5
6
10
2
9
6.95E-06
4
2.6
1.14
2089.74222
2
11
4
7
10
3
8
1.78E-03
2
0.7
0.99
2090.02277
1
10
6
4
9
5
5
1.65E-03
4
−0.3
0.99
2090.1010
34
8
7
2
7
6
1
1.67E-02
10
1.0
1.07
2090.1059
19
8
7
1
7
6
2
5.58E-03
10
1.2
1.07
2090.36143
−5
5
5
1
4
2
2
8.95E-05
2
0.3
1.29
2095.0082
34
8
6
3
8
3
6
7.08E-06
10
−1.8
1.21
2097.36715
0
9
3
7
8
0
8
1.34E-03
2
2.7
1.10
2100.43275
1
9
4
6
8
1
7
1.54E-03
2
4.3
1.10
2104.6985
−1
9
6
4
9
3
7
1.56E-06
10
14.0
1.24
2105.78085
−2
5
5
0
4
2
3
2.09E-04
2
2.9
1.36
2106.1830
−27
6
5
1
6
0
6
{4.19E-07}
1.16
2106.34665
−4
6
5
2
5
2
3
7.07E-04
2
4.8
1.29
2107.54637
2
11
6
6
10
5
5
4.89E-04
2
−1.0
0.95
2109.9971
41
10
4
7
10
1
10
2.47E-06
6
−10.4
1.16
2113.9303
72
11
3
8
11
0
11
8.17E-07
15
−38.3
1.25
2114.42555
−4
11
6
5
10
5
6
1.47E-03
3
0.9
0.96
2114.98295
1
9
7
3
8
6
2
2.09E-03
3
2.2
1.05
2115.01602
1
9
7
2
8
6
3
6.25E-03
3
1.9
1.06
2116.22376
−15
12
5
7
11
4
8
1.70E-04
3
−4.4
0.93
2118.5771
36
10
6
5
10
3
8
1.60E-06
10
9.8
1.32
2121.26803
−3
7
5
3
6
2
4
3.61E-04
2
4.0
1.27
2124.28999
0
12
6
7
11
5
6
3.90E-04
2
−0.2
0.90
2124.88688
−2
7
4
3
6
1
6
7.77E-04
2
3.2
1.25
*2136.1433
−4
8
8
1
7
7
0
8.44E-03
5
4.5
1.17
2137.22320
−2
8
5
4
7
2
5
1.23E-03
4
5.3
1.24
2138.18842
−3
10
2
8
9
1
9
4.56E-04
3
−2.0
1.08
2139.32830
−5
10
7
4
9
6
3
2.06E-03
3
1.6
1.03
2139.47895
3
10
7
3
9
6
4
6.72E-04
2
−0.5
1.03
2139.81405
−12
12
6
6
11
5
7
1.22E-04
2
−1.8
0.92
2144.70972
4
14
6
9
13
5
8
1.94E-05
3
−2.2
0.79
2145.46705
0
10
4
7
9
1
8
1.62E-03
3
3.7
1.09
2147.40547
−7
11
3
8
10
2
9
7.74E-04
2
−0.2
1.03
2148.34184
3
12
4
8
11
3
9
1.06E-04
3
−1.0
0.96
2148.957
0
15
6
10
14
5
9
{1.30E-06}
0.73
2151.4140
0
16
6
11
15
5
10
6.67E-07
10
−7.0
0.66
2152.55804
−5
10
3
8
9
0
9
1.23E-03
3
0.8
1.09
2156.56414
−2
9
5
5
8
2
6
3.28E-04
3
3.0
1.20
2160.69611
0
13
5
8
12
4
9
9.18E-05
2
−3.7
0.89
*2161.7260
0
9
8
1
8
7
2
2.85E-03
4
−2.2
1.16
2162.88973
−1
11
7
5
10
6
4
2.03E-04
4
2.0
0.99
2163.43042
−3
11
7
4
10
6
5
6.10E-04
2
2.3
0.99
2167.34007
−8
13
6
7
12
5
8
7.90E-05
3
−3.7
0.87
2171.25575
−5
7
5
2
6
2
5
3.56E-04
2
3.2
1.55
2181.34395
−4
10
5
6
9
2
7
5.75E-04
2
3.6
1.16
2184.089
71
5
5
1
4
0
4
6.55E-07
15
−47.6
2.81
2185.21096
−12
8
4
4
7
1
7
8.12E-05
3
2.1
1.37
2185.27812
−1
12
7
6
11
6
5
1.60E-04
2
2.4
0.94
2186.89818
0
12
7
5
11
6
6
5.10E-05
3
−1.5
0.95
2186.92030
−1
10
8
3
9
7
2
7.04E-04
2
0.1
1.13
2186.9251
−4
10
8
2
9
7
3
2.35E-04
2
0.3
1.13
2194.38114
0
11
4
8
10
1
9
1.52E-04
2
2.3
1.07
2198.496
130
14
6
8
13
5
9
{5.06E-06}
0.82
2200.30575
1
11
2
9
10
1
10
3.46E-04
2
−5.3
1.06
*2205.2175
11
9
9
0
8
8
1
1.02E-03
9
7.5
1.40
2205.87851
0
13
7
7
12
6
6
1.18E-05
3
−2.5
0.88
2208.73761
5
11
3
9
10
0
10
1.05E-04
3
−6.2
1.07
2210.07038
4
13
7
6
12
6
7
3.70E-05
10
3.4
0.89
2210.52388
−3
8
5
3
7
2
6
7.10E-05
3
3.2
1.71
2211.53175
0
13
4
9
12
3
10
4.72E-05
3
−8.4
0.93
2211.60560
0
11
8
4
10
7
3
6.63E-05
2
−1.2
1.08
2211.63113
−4
11
8
3
10
7
4
2.02E-04
2
0.4
1.08
2212.03112
0
14
5
9
13
4
10
{4.63E-06}
0.85
2212.5404
−14
11
5
7
10
2
8
7.60E-05
3
0.0
1.12
2213.40727
2
12
3
9
11
2
10
5.13E-05
3
−1.3
1.00
2220.880
235
9
5
4
9
0
9
5.56E-07
15
17.4
0.61
2223.80791
0
14
7
8
13
6
7
7.91E-06
6
0.80
2225.1510
32
6
6
1
5
3
2
1.40E-05
5
1.1
9.29
2227.511
155
6
5
2
5
0
5
3.76E-06
10
−22.6
6.43
2229.9959
105
6
6
0
5
3
3
3.86E-06
10
−6.2
14.1
*2231.13708
0
10
9
2
9
8
1
2.75E-04
2
−5.9
1.36
2232.6000
0
14
7
7
13
6
8
3.05E-06
15
21.3
0.72
2234.722
338
15
6
9
14
5
10
2.79E-06
15
17.6
0.76
2235.64060
3
12
8
5
11
7
4
5.23E-05
3
2.3
1.02
2235.74192
−1
12
8
4
11
7
5
1.85E-05
4
8.3
1.02
2243.8820
18
7
6
2
6
3
3
9.00E-06
10
0.1
7.76
2246.03100
2
12
4
9
11
1
10
1.05E-04
3
−0.7
1.03
2249.8552
15
12
5
8
11
2
9
7.03E-05
4
2.6
1.07
2254.60372
−2
9
4
5
8
1
8
4.34E-05
8
−0.6
1.71
2255.44582
−1
9
5
4
8
2
7
8.30E-05
3
3.5
2.02
2256.4556
74
7
6
1
6
3
4
1.70E-05
10
−14.1
25.8
*2256.6177
0
11
9
2
10
8
3
8.00E-05
4
0.5
1.29
2258.7673
9
8
6
3
7
3
4
3.44E-05
2
1.0
5.14
2258.8434
0
13
8
6
12
7
5
4.20E-06
4
9.3
0.94
2259.1789
0
13
8
5
12
7
6
1.26E-05
3
9.5
0.94
2260.5491
−1
12
2
10
11
1
11
2.51E-05
10
−12.4
1.00
2265.31387
−7
12
3
10
11
0
11
7.40E-05
9
−8.6
1.01
2269.6806
0
15
5
10
14
4
11
1.84E-06
10
8.9
0.78
2270.7722
2
9
6
4
8
3
5
1.18E-05
3
3.2
3.36
*2271.7242
15
10
10
1
9
9
0
8.79E-05
10
1.9
1.95
2278.0597
−8
13
3
10
12
2
11
2.83E-05
5
1.9
0.94
2280.9542
0
14
8
7
13
7
6
2.80E-06
15
18.9
0.83
*2281.555
−10
12
9
4
11
8
3
{1.92E-05}
1.20
2281.7862
26
10
6
5
9
3
6
2.97E-05
8
4.5
2.38
2281.918
0
14
8
6
13
7
7
{7.54E-07}
0.84
2292.241
−15
13
5
9
12
2
10
6.20E-06
15
16.1
1.01
2294.1025
16
11
6
6
10
3
7
5.95E-06
10
−5.1
1.83
*2297.9776
0
11
10
1
10
9
2
2.12E-05
6
−3.4
1.84
2396.9099
11
8
6
3
7
1
6
8.80E-07
15
38.9
0.072
2400.309
181
15
3
12
14
2
13
5.17E-07
10
9.3
0.62
2403.9185
−47
9
7
2
8
4
5
5.57E-07
15
34.1
0.028
2438.040
52
9
6
4
8
1
7
6.37E-07
15
41.6
0.12
2458.182
76
7
6
1
6
1
6
6.73E-07
15
57.7
0.16
2463.0980
87
10
5
6
9
0
9
1.16E-06
15
18.8
0.20
2471.1214
−72
8
8
1
7
5
2
1.36E-06
15
32.2
0.10
2485.6256
8
10
6
5
9
1
8
1.75E-06
10
15.9
0.17
2496.5038
−70
9
8
2
8
5
3
5.76E-07
10
14.8
0.12
2497.2499
43
9
8
1
8
5
4
1.60E-06
10
5.6
0.12
2520.2116
70
10
8
3
9
5
4
1.20E-06
10
−15.0
0.14
2523.8854
0
8
7
2
7
2
5
4.35E-07
10
7.4
0.14
2535.9770
22
11
5
7
10
0
10
{3.65E-07}
0.30
2568.7896
−31
10
7
4
9
2
7
1.04E-06
10
−0.6
0.18
2576.8515
81
9
6
3
8
1
8
1.39E-06
15
49.4
0.20
2582.6183
−38
9
9
1
8
6
2
1.72E-07
15
−61.7
0.16
2582.6496
48
9
9
0
8
6
3
3.91E-07
15
−61.7
0.16
O − C, observed minus computed line positions in inverse centimeters × 105. The computed values are derived from energy levels given in Table 2. %’s are estimated uncertainties in the measured line strengths given in percent. Line strengths given within braces are computed values derived in this study. (O − C)%, observed minus computed line strength values given in percent. Computed values are derived from constants obtained in this work and given in Table 7. R ratio of the computed line strength derived in this study to that given in Ref. 28. Asterisks denote doubled absorption with the quantum assignment given for the stronger transition. The strength given represents the sum of the strengths of the two comparable transitions.
Tables (8)
Table 1
Experimental Conditions of Spectra Used in the H216O Measurements
A preceding asterisk indicates that the 2.39-m cell was evacuated and residue H216O absorptions observed were due to 0.018-Torr H216O pressure in the vacuum tank that enclosed the FTS and to atmospheric H216O (total pressure was 602 Torr) in the spaces between the infrared source and the entry to the tank. The open spaces were purged with cooled N2. The 7.25-Torr pressure represents the H216O partial pressure in the air spaces.
Table 2
Energy Levels of the (000) and (010) States of H216O (cm−1)a
J
Ka
Kc
(000)
(010)
0
0
0
1594.74635
1
1
0
1
23.794350
0.5
1618.55718
1
1
1
1
37.137118
0.5
1634.96711
1
1
1
0
42.371743
0.5
1640.50590
1
2
0
2
70.090805
0.5
1664.96460
2
2
1
2
79.49636
1
1677.06145
1
2
1
1
95.175932
0.5
1693.64998
1
2
2
1
134.90162
1
1742.30566
1
2
2
0
136.16390
1
1743.48638
1
3
0
3
136.76165
1
1731.89672
1
3
1
3
142.27848
1
1739.48375
1
3
1
2
173.36580
1
1772.41355
2
3
2
2
206.30144
1
1813.78761
1
3
2
1
212.15635
1
1819.33515
1
3
3
1
285.21939
1
1907.45145
1
3
3
0
285.41859
1
1907.61581
2
4
0
4
222.05276
2
1817.45124
2
4
1
4
224.83839
1
1821.59685
1
4
1
3
275.49706
1
1875.46973
2
4
2
3
300.36232
1
1908.01638
2
4
2
2
315.77957
2
1922.90116
2
4
3
2
382.51691
1
2004.81575
1
4
3
1
383.84254
2
2005.91712
2
4
4
1
488.10781
2
2129.59926
1
4
4
0
488.13428
1
2129.61871
2
5
0
5
325.34794
2
1920.76659
1
5
1
5
326.62551
1
1922.82909
1
5
1
4
399.45754
2
2000.86309
2
5
2
4
416.20876
2
2024.15272
1
5
2
3
446.51070
2
2053.96878
3
5
3
3
503.96820
2
2126.40778
2
5
3
2
508.81214
2
2130.49436
2
5
4
2
610.11451
2
2251.69542
5
5
4
1
610.34131
2
2251.86258
3
5
5
1
742.07315
2
2406.14105
3
5
5
0
742.07640
2
2406.14319
3
6
0
6
446.69657
2
2041.78057
2
6
1
6
447.25239
1
2042.75343
2
6
1
5
542.90582
2
2146.26374
2
6
2
5
552.91146
2
2161.28612
1
6
2
4
602.77350
2
2211.19069
2
6
3
4
648.97877
2
2271.71236
2
6
3
3
661.54897
2
2282.58968
2
6
4
3
756.72491
1
2398.38160
3
6
4
2
757.78029
3
2399.16558
5
6
5
2
888.59886
2
2552.85739
4
6
5
1
888.63279
3
2552.87986
3
6
6
1
1045.05809
3
2733.96282
3
6
6
0
1045.05850
3
2733.96305
6
7
0
7
586.24364
2
2180.64300
3
7
1
7
586.47921
1
2181.08994
3
7
1
6
704.21413
2
2309.73033
2
7
2
6
709.60824
2
2318.54002
3
7
2
5
782.40993
2
2392.59268
2
7
3
5
816.69438
2
2439.95452
3
7
3
4
842.35671
3
2462.87542
3
7
4
4
927.74401
3
2569.50807
2
7
4
3
931.23726
2
2572.13929
3
7
5
3
1059.64680
3
2724.04156
2
7
5
2
1059.83560
2
2724.16726
3
7
6
2
1216.18993
3
2905.43079
3
7
6
1
1216.19467
3
2905.43363
2
7
7
1
1394.81433
5
3109.91165
6
7
7
0
1394.81438
6
3109.91175
6
8
0
8
744.06374
3
2337.46341
3
8
1
8
744.16276
2
2337.66693
3
8
1
7
882.89047
4
2490.35413
2
8
2
7
885.60033
2
2495.16597
2
8
2
6
982.91177
4
2595.81300
4
8
3
6
1006.11606
2
2630.19276
2
8
3
5
1050.15777
3
2670.78972
3
8
4
5
1122.70866
2
2764.69760
3
8
4
4
1131.77565
3
2771.69029
2
8
5
4
1255.16687
3
2919.63315
3
8
5
3
1255.91170
3
2920.13215
3
8
6
3
1411.61162
3
3101.12392
8
8
6
2
1411.64206
3
3101.14235
5
8
7
2
1590.69034
5
3306.29533
4
8
7
1
1590.69088
3
3306.29564
6
8
8
1
1789.04335
30
3530.95772
12
8
8
0
1789.04372
15
3530.95772
12
9
0
9
920.16851
1
2512.28295
3
9
1
9
920.21017
3
2512.37580
2
9
1
8
1079.07969
2
2688.08010
3
9
2
8
1080.38551
3
2690.59372
3
9
2
7
1201.92165
2
2818.39822
5
9
3
7
1216.23144
4
2841.43089
2
9
3
6
1282.91927
5
2904.67060
4
9
4
6
1340.88504
2
2983.32321
2
9
4
5
1360.23554
3
2998.76650
3
9
5
5
1474.98101
3
3139.47593
3
9
5
4
1477.29752
5
3141.04616
3
9
6
4
1631.24563
3
3320.92995
4
9
6
3
1631.38321
5
3321.01345
5
9
7
3
1810.58355
6
3526.62500
5
9
7
2
1810.58811
10
3526.62763
6
9
8
2
2009.80509
12
3752.41620
20
9
8
1
2009.80525
18
3752.41634
12
9
9
1
2225.46960
40
3994.26074
35
9
9
0
2225.46960
40
3994.26074
35
10
0
10
1114.53242
4
2705.09705
2
10
1
10
1114.55005
3
2705.13973
3
10
1
9
1293.01830
3
2903.14617
5
10
2
9
1293.63420
4
2904.42836
3
10
2
8
1437.96866
3
3058.39862
2
10
3
8
1446.12847
3
3072.72660
5
10
3
7
1538.14967
4
3162.25900
3
10
4
7
1581.33627
2
3224.54674
2
10
4
6
1616.45318
7
3253.73817
5
10
5
6
1718.71904
6
3383.26564
3
10
5
5
1724.70566
8
3387.40076
3
10
6
5
1874.97326
5
3564.70521
4
10
6
4
1875.46195
6
3565.00377
2
10
7
4
2054.34548
12
3770.71156
4
10
7
3
2054.36894
10
3770.72455
4
10
8
3
2254.28407
6
3997.50842
4
10
8
2
2254.28455
6
3997.50869
5
10
9
2
2471.25531
25
4240.94233
6
10
9
1
2471.25531
25
4240.94233
6
10
10
1
2701.88936
30
4497.19365
25
10
10
0
2701.88936
30
4497.19365
25
11
0
11
1327.11016
3
2915.87447
3
11
1
11
1327.11779
3
2915.89445
4
11
1
10
1524.84807
2
3135.76489
3
11
2
10
1525.13619
5
3136.41268
3
11
2
9
1690.66460
3
3314.85579
2
11
3
9
1695.06886
3
3323.26998
6
11
3
8
1813.22359
3
3441.03974
6
11
4
8
1843.02981
3
3487.39944
3
11
4
7
1899.00834
6
3535.87067
3
11
5
7
1985.78512
3
3650.50920
4
11
5
6
1998.99553
3
3659.90424
4
11
6
6
2142.59790
6
3832.25201
3
11
6
5
2144.04656
7
3833.14463
4
11
7
5
2321.81324
6
4038.35169
3
11
7
4
2321.90608
10
4038.40371
6
11
8
4
2522.26143
8
4265.97454
6
11
8
3
2522.26545
40
4265.97665
5
11
9
3
2740.42090
20
4510.90177
35
11
9
2
2740.42100
10
4510.90177
35
11
10
2
2972.82735
40
4769.23291
30
11
10
1
2972.82735
40
4769.23291
30
11
11
1
3216.19418
300
5037.33340
500
11
11
0
3216.19418
300
5037.33340
500
12
0
12
1557.84462
5
3144.56941
4
12
1
12
1557.84789
10
3144.57892
4
12
1
11
1774.61649
5
3386.05253
7
12
2
11
1774.75134
4
3386.37963
2
12
2
10
1960.20734
9
3587.66690
6
12
3
10
1962.50712
5
3592.42410
3
12
3
9
2105.86817
8
3738.54344
3
12
4
9
2124.95165
6
3770.87905
3
12
4
8
2205.65297
8
3843.41067
4
12
5
8
2275.37304
4
3940.51965
3
12
5
7
2300.68559
6
3959.25372
15
12
6
7
2433.80069
5
4123.28552
5
12
6
6
2437.50240
9
4125.59929
8
12
7
6
2612.80001
10
4329.32469
3
12
7
5
2613.10489
15
4329.49608
7
12
8
5
2313.51265
4
4557.54665
8
12
8
4
2813.52439
5
4557.55517
3
12
9
4
3032.69024
35
4803.82055
20
12
9
3
3032.69100
100
4803.81559
30
12
10
3
3266.76420
150
5064.14164
80
12
10
2
3266.76420
150
5064.14164
80
12
11
2
3512.40130
300
12
11
1
3512.40130
300
13
0
13
1806.67025
4
3391.12631
3
13
1
13
1806.67177
4
3391.13077
5
13
1
12
2042.31078
3
3654.04911
3
13
2
12
2042.37415
8
3654.21528
3
13
2
11
2246.88510
5
3877.08877
4
13
3
11
2248.06476
4
3879.72084
3
13
3
10
2414.72363
7
4052.81112
3
13
4
10
2426.19643
5
4074.03884
3
13
4
9
2533.79337
4
4174.03887
6
13
5
9
2586.53000
10
4252.44849
5
13
5
8
2629.33470
9
4285.64776
5
13
6
8
2748.10002
6
4437.36800
300
13
6
7
2756.41553
8
4442.71319
6
13
7
7
2927.07546
20
4643.38091
5
13
7
6
2927.94162
12
4643.87103
4
13
8
6
3127.80589
10
4871.94829
16
13
8
5
3127.86215
20
4871.97891
40
13
9
5
3347.78075
100
5119.37130
300
13
9
4
3347.78155
35
5119.37300
300
14
0
14
2073.51507
6
3655.48283
8
14
1
14
2073.51575
5
3655.48536
7
14
1
13
2327.88399
4
3939.74656
3
14
2
13
2327.91431
4
3939.83207
4
14
2
12
2550.88255
4
4183.38924
3
14
3
12
2551.48382
4
4184.83151
3
14
3
11
2739.45102
15
4382.77976
7
14
4
11
2746.02377
6
4396.05169
7
14
4
10
2880.83399
25
4525.23970
7
14
5
10
2918.24536
13
4585.34832
10
14
5
9
2983.39644
200
4638.22755
12
14
6
9
3084.83699
25
4774.04438
5
14
6
8
3101.39838
7
4785.02730
150
14
7
8
3264.33798
50
4980.22344
15
14
7
7
3266.53760
50
4980.70002
30
14
8
7
3464.88624
35
5208.89582
50
14
8
6
3465.06010
150
5208.99346
300
14
9
6
3685.40320
300
14
9
5
3685.41400
300
15
0
15
2358.30190
25
3937.57270
15
15
1
15
2358.30220
25
3937.57270
15
15
1
14
2631.26912
5
4243.10988
4
15
2
14
2631.28495
30
4243.15431
8
15
2
13
2872.27435
30
4506.73415
3
15
3
13
2872.57160
60
4507.52265
7
15
3
12
3080.17905
7
4728.22150
5
15
4
12
3083.85400
300
4736.26442
35
15
4
11
3244.60104
9
4894.58616
7
15
5
11
3269.53110
300
4938.24110
300
15
5
10
3360.60072
45
5015.70437
45
15
6
10
3443.20520
300
5132.35344
300
15
6
9
3472.87815
300
5152.97074
35
15
7
9
3624.16330
300
15
7
8
3629.09527
100
15
8
8
3824.49550
300
15
8
7
3824.99430
300
16
0
16
2660.94550
65
4237.32140
45
16
1
16
2660.94570
39
4237.32140
45
16
1
15
2952.38700
40
4564.08762
8
16
2
15
2952.39426
15
4564.10991
30
16
2
14
3211.05635
100
4847.18009
8
16
3
14
3211.21322
11
4847.62213
8
16
3
13
3437.29742
40
5089.38249
50
16
4
13
3439.30697
50
5094.08461
8
16
4
12
3623.76499
300
5280.82060
300
16
5
12
3639.53872
300
5310.24044
50
16
5
11
3758.42880
300
16
6
11
3822.24560
300
5512.01472
40
16
6
10
3870.21160
300
17
0
17
2981.36320
200
4554.65170
300
17
1
17
2981.36320
200
4554.65170
300
17
1
16
3291.15042
100
4902.61457
12
17
2
16
3291.15300
300
4902.62698
12
17
2
15
3567.17585
300
5204.74922
35
17
3
15
3567.23690
400
5204.98855
35
17
3
14
3810.94020
300
5466.40277
50
17
4
14
3812.05050
300
17
4
13
4017.90890
300
5680.54940
200
18
0
18
3319.44690
100
4889.49150
35
18
1
18
3319.44690
100
4889.49150
35
18
1
17
3647.46320
300
5258.62780
300
18
2
17
3647.46510
300
5258.63390
300
18
2
16
3940.54400
300
5579.35920
300
18
3
16
3940.58722
600
19
0
19
3675.11600
300
5241.74200
300
19
1
19
3675.11600
300
5241.74200
300
19
1
18
4021.21770
300
5632.04710
300
20
0
20
4048.25240
300
5611.33600
300
20
1
20
4048.25240
300
5611.33600
300
The unceratainties of the level are in units of (inverse centimeters) × 105.
Table 3
Vibration-Rotation Energy-Level Parameters of the (000) and (010) States of H216O from a Least-Squares Fit of Experimental Data
Parameter
(000)
(010)
A
27.880692
31.130073
B
14.5214713
14.6869696
C
9.27788726
9.12945274
ΔK
3.2524317 × 10−2
5.84806398 × 10−2
ΔJK
−5.7932413 × 10−3
−7.8162903 × 10−3
Δj
1.2534582 × 10−3
1.401372 × 10−3
HK
1.260738 × 10−4
4.1614233 × 10−4
HKJ
−1.21938 × 10−5
−4.9221278 × 10−5
HJK
−3.750 × 10−6
0.0
HJ
5.33895 × 10−7
6.79864 × 10−7
LK
−8.2256 × 10−7
−4.2094 × 10−6
LKKJ
1.1394 × 10−7
0.0
PK
4.2031 × 10−9
3.0843 × 10−8
δK
1.2465 × 10−3
3.5924 × 10−3
δj
5.0771 × 10−4
5.81855 × 10−4
hK
1.92316 × 10−5
7.25278 × 10−5
hJK
−5.43662 × 10−7
−4.09175 × 10−7
hj
2.58626 × 10−7
3.56679 × 10−7
lK
−1.12545 × 10−7
−3.75136 × 10−7
Table 4
Transition Frequencies of H216O in the (010)–(010) and (000)–(000) Bands (cm−1)a
J
Ka
Kc
J
Ka
Kc
Observed Frequency
un
O − C
ud
*4
2
2
5
1
5
0.072049
1.0
−2.1
2
*4
2
3
3
3
0
0.400570
0.1
0.0
3
*5
3
2
4
4
1
0.895095
0.1
−0.5
2
*4
1
4
3
2
1
2.261685
0.3
−1.5
1
*4
4
0
5
3
3
3.210927
0.3
−0.3
3
*2
2
0
3
1
3
4.002634
0.3
0.4
1
*5
5
0
6
4
3
7.761593
0.2
0.3
4
*5
2
3
6
1
6
11.215346
0.7
−0.4
4
*4
2
2
3
3
1
15.449662
3.3
−4.8
2
*5
2
4
4
3
1
18.235636
3.3
3.6
2
*6
3
4
5
4
1
19.849726
3.3
−5.4
4
*1
1
0
1
0
1
21.948734
0.2
1.4
1
*3
2
1
2
1
2
142.27806
100
436
1
*8
1
8
7
0
7
157.02416
100
23
4
*3
3
0
2
2
1
165.30956
100
−59
2
*4
3
2
3
2
1
185.48075
100
15
1
*6
3
4
5
2
3
217.74277
100
−81
4
*4
4
1
3
3
0
221.98297
100
−48
2
*4
4
0
3
3
1
222.16626
100
−100
2
*5
3
2
4
2
3
222.47634
100
−164
3
*5
4
1
4
3
2
247.04784
100
101
3
*6
4
3
5
3
2
267.88396
100
−382
4
*7
4
4
6
3
3
286.92026
100
187
3
*7
4
3
6
3
4
300.42784
100
91
4
*6
5
2
5
4
1
300.99573
100
92
5
*7
5
2
6
4
3
325.78585
100
19
4
6
1
6
5
2
3
0.741682
0.3
−0.8
2
3
1
3
2
2
0
6.114567
0.3
−1.3
1
10
2
9
9
3
6
10.714934
0.3
0.4
6
5
1
5
4
2
2
10.845934
0.3
−0.6
2
4
1
4
3
2
1
12.682020
0.3
−2.0
1
10
3
7
11
2
10
13.013486
0.3
0.6
6
7
5
3
6
6
0
14.588315
0.3
1.5
4
6
4
3
5
5
0
14.648495
0.3
−1.5
2
7
5
2
6
6
1
14.777500
0.3
−1.0
4
4
2
3
3
3
0
14.943708
0.3
−2.2
1
6
4
2
5
5
1
15.707165
0.3
2.5
4
5
3
3
4
4
0
15.833925
0.3
0.5
2
6
2
4
7
1
7
16.294310
0.3
2.0
2
8
6
3
7
7
0
16.797238
0.3
−0.2
7
8
6
2
7
7
1
16.827731
0.3
0.1
6
1
1
0
1
0
1
18.577385
0.3
−0.8
1
5
3
2
4
4
1
20.704350
0.3
2.0
3
2
1
1
2
0
2
25.085128
0.3
0.1
1
4
2
2
3
3
1
30.560194
0.3
1.4
2
5
2
4
4
3
1
32.366225
0.3
0.5
3
2
0
2
1
1
1
32.953690
0.3
0.3
1
7
2
6
7
1
7
123.129033
0.3
0.3
2
3
1
2
3
0
3
36.60403
16
−12
1
1
1
1
0
0
0
37.13709
16
−3
1
3
1
2
2
2
1
38.46408
16
−10
1
6
3
4
5
4
1
38.63735
16
−11
3
3
2
1
3
1
2
38.79061
16
6
1
4
2
2
4
1
3
40.28243
16
−8
2
2
2
0
2
1
1
40.98795
16
−2
1
7
4
3
6
5
2
42.63838
16
−2
3
8
2
7
7
3
4
43.24340
16
−22
4
6
2
5
5
3
2
44.09924
16
−8
3
5
2
3
5
1
4
47.05316
16
0
3
7
2
6
6
3
3
48.05927
16
0
3
6
3
3
5
4
2
51.43437
16
−9
3
4
1
3
4
0
4
53.44416
16
−14
2
2
2
1
2
1
2
55.40533
16
7
1
2
1
2
1
0
1
55.70200
16
−1
1
4
3
2
5
0
5
57.16912
16
15
2
3
0
3
2
1
2
57.26528
16
−1
1
6
3
3
6
2
4
58.77541
16
−6
3
7
3
5
6
4
2
58.91410
16
1
4
6
2
4
6
1
5
59.86800
16
32
3
7
3
4
7
2
5
59.94692
16
14
4
5
3
2
5
2
3
62.30138
16
−6
3
8
4
5
7
5
2
62.87289
16
−17
3
5
2
3
4
3
2
63.99404
16
25
2
3
2
2
3
1
3
64.02304
16
8
1
8
3
5
8
2
6
67.24602
16
2
5
4
3
1
4
2
2
68.06300
16
3
3
4
1
3
3
2
2
69.19583
16
21
1
3
1
3
2
0
2
72.18770
16
2
1
3
3
0
3
2
1
73.26240
16
16
1
5
1
4
5
0
5
74.10959
16
−1
3
8
3
6
7
4
3
74.87896
16
16
3
4
2
3
4
1
4
75.52391
16
−2
1
9
4
5
9
3
6
77.31608
16
−19
6
7
2
5
7
1
6
78.19588
16
8
3
10
4
6
10
3
7
78.30365
16
14
8
3
3
1
3
2
2
78.91798
16
3
1
4
0
4
3
1
3
79.77428
16
0
2
9
3
6
9
2
7
80.99764
16
2
5
8
4
4
8
3
5
81.61791
16
3
4
4
3
2
4
2
3
82.15452
16
−7
1
12
4
9
13
1
12
82.63893
16
−194
7
9
3
7
8
4
4
84.45568
16
−11
5
7
3
4
6
4
3
85.63185
16
5
3
11
4
7
11
3
8
85.78477
16
2
7
10
3
8
9
4
5
85.89278
16
−15
4
5
3
3
5
2
4
87.75941
16
−3
3
4
1
4
3
0
3
88.07670
16
−4
1
7
4
3
7
3
4
88.88060
16
5
4
5
2
4
5
1
5
89.58323
16
−2
2
2
2
1
1
1
0
92.52981
16
−7
1
6
3
4
6
2
5
96.06730
16
−1
3
6
1
5
6
0
6
96.20908
16
−17
3
6
4
2
6
3
3
96.23115
16
−17
4
6
2
4
5
3
3
98.80528
16
−2
3
2
2
0
1
1
1
99.02676
16
−2
1
5
1
4
4
2
3
99.09500
16
−22
2
11
5
6
11
4
7
99.98710
16
−9
7
8
2
6
8
1
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3
8
7
9
7
2
8
4
5
687.87946
3
1
10
13
2
11
12
1
12
689.03703
3
−18
11
13
3
11
12
0
12
690.22009
3
−5
6
10
7
4
9
4
5
694.11012
3
18
12
10
4
6
9
1
9
696.24299
3
−2
8
14
3
11
13
2
12
697.05439
3
−2248
17
11
6
5
10
3
8
697.91815
3
6
8
14
4
11
13
1
12
703.71295
3
−4
7
8
6
3
7
1
6
707.39737
3
−12
4
10
7
3
9
4
6
713.48385
3
−5
10
12
7
6
11
4
7
713.79165
3
−2
12
un, O − C, and ud are in units of (inverse centimeters) × 105, where un is the uncertainty in the observed frequency, 0 − C is the observed minus the computed frequency, and ud is the estimated uncertainty in the computed frequency. The asterisks denote measurements in the (010)–(010) band. All other entries are measurements in the (000)–(000) band. Observed frequencies given to six places after the decimal are microwave measurements taken from Refs. 7–10 for the (000)–(000) band and from Refs. 11–14 for the (010)–(010) band. Other measurements are far-infrared observations taken from Ref. 4 for (000)–(000) transitions below 350 cm−1 and from Ref. 5 for the (000)–(000) band above 500 cm−1. Far-infrared measurements in the (010)–(010) band were taken from Ref. 6.
Table 5
Matrix Elements Used in the Expansion of the Dipole Moment for B-Type Transitions of Water Vapor
J′(J′ + 1) if m = 0 and J = Kc or J′ = Kc′, otherwise 0
18
1
J′(J′ + 1) if m = 0 and J = Kc or J′ = Kc′ −1, otherwise 0
19
1
J′(J′ + 1) if m ≠ 0 and J = Kc or J′ = Kc′, otherwise 0
Taken from Flaud and Camy-Peyret.29J′ − J = 0, ±1; m = [J′(J′ + 1) − J(J + 1)]/2; K′ − K = nΔK.
Table 6
Standard Deviation, σ%,a in Percent Resulting from Various Methods of Fitting the Measured Line Strengths of the (010)–(000) Band of H216O by Least Squares