Masashi Abe,1,*
Kana Iwakuni,1
Sho Okubo,1,2
and Hiroyuki Sasada1
1Department of Physics, Faculty of Science and Technology, Keio University, 3-14-1, Hiyoshi, Kohoku-ku, Yokohama 223-8522, Japan
2Current address: National Metrology Institute of Japan (NMIJ), National Institute of Advanced Industrial Science and Technology (AIST), Central 3, 1-1-1 Umezono, Tsukuba, Ibaraki 305-8563, Japan
Masashi Abe, Kana Iwakuni, Sho Okubo, and Hiroyuki Sasada, "Accurate transition frequency list of the ν3 band of methane from sub-Doppler resolution comb-referenced spectroscopy," J. Opt. Soc. Am. B 30, 1027-1035 (2013)
We have carried out sub-Doppler resolution spectroscopy of the band of using a difference-frequency-generation source, an enhanced cavity absorption cell, and an optical frequency comb, and we have added 150 lines to the transition frequency list published earlier [Opt. Express 19, 23878 (2011)]. It now covers 204 lines from the to transitions, involving 21 weak forbidden transitions, with a typical uncertainty of 3 kHz for allowed transitions and 12 kHz for forbidden transitions. The combination differences between the allowed and forbidden transitions enable us to determine a scalar rotational constant and three scalar distortion constants of the ground vibrational state with greatly reduced uncertainties.
Masashi Abe, Kana Iwakuni, Sho Okubo, and Hiroyuki Sasada, "Accurate transition frequency list of the ν3 band of methane from sub-Doppler resolution comb-referenced spectroscopy: erratum," J. Opt. Soc. Am. B 36, 896-896 (2019) https://opg.optica.org/josab/abstract.cfm?uri=josab-36-4-896
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Measured Allowed-Transition Frequencies of the Band of a
Trans.
Comp.
Measured fq. (kHz)
(kHz)
(MHz)
(MHz)
(MHz)
86, 789, 799, 611.8
2.2
0.99
—
86, 791, 594, 163.7
2.6
—
86, 793, 778, 037.9
2.5
—
86, 796, 911, 324.0
3.4
1.70
1.19
—
86, 812, 629, 581.6
2.4
4.14
—
86, 814, 710, 304.0
2.7
0.86
—
86, 825, 968, 892.3
2.3
—
86, 828, 886, 824.6
2.2
—
86, 849, 117, 224.2
2.6
11.76
—
86, 849, 278, 111.6
2.8
4.76
—
86, 849, 580, 677.0
3.9
5.65
—
87, 108, 705, 718.2
3.2
0.94
0.14
87, 110, 620, 556.3
2.2
0.88
0.02
87, 114, 104, 427.0
3.7
87, 128, 156, 558.2
2.6
0.00
87, 137, 341, 047.2
3.1
8.65
0.02
87, 139, 103, 696.4
2.7
0.84
0.96
87, 141, 721, 756.9
2.5
6.50
0.15
87, 159, 299, 076.0
2.7
9.34
0.06
87, 159, 743, 216.2
2.7
0.27
87, 425, 525, 323.3
2.2
87, 428, 529, 768.0
2.5
87, 431, 362, 196.0
2.6
1.10
0.04
87, 442, 078, 690.8
2.8
5.81
87, 448, 447, 306.4
2.5
1.22
87, 451, 442, 423.3
2.4
2.98
87, 468, 319, 166.8
2.9
0.25
87, 469, 023, 275.5
3.4
11.49
0.11
87, 469, 331, 371.0
2.1
0.37
0.53
87, 740, 265, 613.0
2.9
1.07
87, 742, 746, 571.0
2.9
2.25
0.03
87, 745, 808, 157.8
2.2
87, 751, 536, 553.0
2.2
3.41
0.01
87, 760, 424, 091.8
2.1
5.38
87, 762, 118, 601.8
2.4
1.64
87, 777, 197, 025.6
2.4
4.51
0.01
87, 778, 139, 172.4
2.6
0.15
88, 056, 079, 506.4
2.2
2.86
88, 058, 283, 911.6
2.5
1.18
0.15
88, 063, 885, 765.9
2.8
5.68
88, 072, 045, 716.7
2.5
0.01
88, 084, 799, 327.7
2.5
4.92
88, 085, 481, 994.5
2.4
4.97
88, 086, 573, 892.6
2.6
1.71
0.99
0.01
90, 203, 024, 781.0
2.9
—
90, 203, 035, 698.1
3.2
16.32
43.00
—
90, 242, 861, 404.3
3.4
2.93
—
90, 242, 873, 911.9
2.9
2.74
—
90, 242, 879, 440.2
3.7
2.67
41.86
—
90, 257, 624, 170.3
3.5
4.31
90, 264, 292, 311.8
2.9
25.23
0.17
90, 264, 855, 870.0
2.8
6.58
90, 280, 509, 345.2
3.4
19.66
—
90, 280, 575, 289.2
3.6
11.39
—
90, 295, 381, 907.5
3.2
0.16
90, 298, 367, 659.4
2.8
1.96
90, 299, 370, 976.1
2.8
3.22
0.43
0.10
90, 304, 361, 593.7
2.4
90, 312, 583, 519.2
3.6
0.35
90, 315, 860, 433.9
2.7
11.19
—
90, 315, 948, 508.9
3.5
—
90, 316, 123, 014.2
2.8
11.29
—
90, 318, 785, 246.3
3.3
0.77
90, 323, 055, 272.5
3.7
1.13
90, 324, 951, 182.1
3.2
0.01
90, 329, 810, 743.4
3.8
2.31
90, 331, 277, 255.7
3.5
90, 332, 130, 944.0
2.7
0.25
90, 332, 479, 746.6
3.4
0.00
90, 339, 694, 904.5
2.8
0.06
90, 342, 803, 013.4
2.5
0.93
90, 345, 235, 846.5
2.9
0.03
90, 348, 788, 925.6
3.1
3.42
90, 349, 167, 056.1
2.9
15.32
90, 351, 646, 408.7
2.9
0.08
90, 359, 262, 569.8
3.1
90, 360, 309, 720.9
3.7
0.05
90, 362, 596, 827.9
3.5
0.07
90, 365, 736, 365.8
3.2
3.03
0.37
90, 367, 765, 489.6
3.2
90, 376, 685, 393.8
2.7
2.04
90, 378, 783, 895.0
2.6
1.90
90, 379, 477, 644.7
2.9
1.93
90, 379, 843, 340.1
3.2
6.99
90, 382, 579, 209.2
3.9
0.27
90, 385, 664, 963.4
3.1
90, 387, 470, 162.5
3.3
1.43
90, 388, 941, 358.7
3.1
5.64
90, 390, 172, 416.6
2.3
90, 393, 517, 875.9
2.4
90, 405, 139, 447.6
2.7
90, 408, 600, 295.4
2.6
90, 411, 566, 109.6
2.9
2.77
90, 411, 883, 753.6
3.5
90, 417, 079, 294.9
3.2
2.86
0.00
90, 426, 450, 987.8
2.5
2.98
90, 428, 470, 084.7
3.0
90, 799, 708, 460.6
3.5
2.95
19.20
91, 091, 893, 215.7
2.9
21.16
0.02
91, 381, 337, 559.6
2.5
0.57
0.32
91, 381, 810, 593.2
2.9
0.24
91, 667, 162, 824.7
3.4
17.31
—
91, 668, 334, 226.7
3.1
0.98
15.10
—
91, 669, 360, 660.7
3.5
—
91, 951, 269, 127.0
3.1
—
91, 953, 374, 501.5
3.7
8.35
0.79
—
91, 954, 174, 062.0
2.7
9.92
—
91, 955, 347, 354.0
3.1
—
92, 232, 637, 852.8
3.5
0.59
—
92, 233, 215, 602.3
3.2
3.60
—
92, 236, 455, 591.8
3.4
3.68
1.25
—
92, 237, 899, 760.3
2.7
0.61
1.45
—
92, 510, 922, 578.0
2.7
—
92, 511, 775, 752.1
2.9
10.12
—
92, 512, 761, 043.9
3.7
6.77
—
92, 516, 874, 711.6
2.7
6.73
—
92, 518, 101, 968.7
3.3
5.45
—
92, 518, 525, 308.7
3.4
5.27
—
92, 787, 585, 459.3
3.7
5.85
—
92, 788, 887, 488.2
3.8
—
92, 789, 683, 445.0
3.6
1.22
—
92, 791, 139, 133.0
3.9
3.10
—
92, 796, 290, 802.2
3.8
14.15
2.88
—
92, 796, 888, 537.8
3.4
10.40
0.11
—
93, 061, 736, 347.4
4.3
6.89
—
93, 062, 191, 263.3
3.6
—
93, 064, 093, 212.4
3.7
2.17
—
93, 065, 667, 134.7
3.5
—
93, 072, 637, 303.6
3.7
—
93, 072, 814, 440.8
3.0
20.70
—
93, 073, 131, 925.9
3.9
—
Trans., transition; Comp., tetrahedral component; fq., frequency; , the standard deviation. =(frequency from the HITRAN 2008 database [7])-(Measured fq.), =(frequency from the FTIR data [8])-(Measured fq.), and =(frequency from the dual-comb data [9])-(Measured fq.).
Table 2.
Measured Forbidden-Transition Frequencies of the Band of a
Measured fq. (kHz)
(kHz)
(MHz)
(MHz)
18
90, 548, 872, 130.9
12.2
—
14
90, 551, 117, 470.5
13.7
—
15
90, 553, 920, 731.7
12.6
2.68
—
18
90, 560, 330, 445.5
14.2
—
12
90, 562, 349, 009.3
12.3
0.94
21
90, 565, 411, 735.9
13.4
6.35
—
22
90, 568, 553, 930.9
13.2
—
17
90, 569, 328, 656.2
11.9
2.53
—
14
90, 571, 670, 599.9
11.8
7.33
—
24
90, 572, 146, 826.7
12.0
2.08
48.76
10
90, 572, 599, 169.8
13.0
8.81
—
28
90, 572, 602, 576.4
16.4
6.12
—
10
90, 577, 562, 991.1
12.0
6.58
—
31
90, 580, 089, 029.6
13.3
2.19
—
37
90, 580, 299, 278.8
11.8
3.11
—
34
90, 580, 618, 339.2
11.8
3.75
27.58
23
90, 582, 066, 016.8
13.2
13.00
0.38
38
90, 582, 766, 396.5
12.8
2.24
0.29
15
90, 583, 538, 389.8
12.1
8.15
and are the total and rotational angular momentum quantum numbers, respectively, Comp. is the tetrahedral component, and is the multiplicity index. Double and single primes represent the lower and upper levels. fq., frequency; , uncertainty. =(frequency from the HITRAN 2008 database [7])-(Measured fq.), and =(frequency from the FTIR data [8])-(Measured fq.).
Table 3.
Measured Combination Differences in the Ground Vibrational State of a
Trans.
Comp.
Measured fq. (kHz)
Cal. (kHz)
(kHz)
1, 256, 225, 468.2
1, 256, 225, 446.2
22.0
1, 569, 839, 640.1
1, 569, 839, 656.9
1, 569, 748, 123.7
1, 569, 748, 130.3
1, 883, 203, 965.6
1, 883, 203, 968.1
1, 882, 961, 584.3
1, 882, 961, 582.3
1.9
2, 195, 965, 229.8
2, 195, 965, 224.3
5.5
2, 195, 510, 271.6
2, 195, 510, 275.5
2, 196, 179, 626.3
2, 196, 179, 622.5
3.8
2, 195, 965, 226.4
2, 195, 965, 224.3
2.0
2, 195, 510, 270.0
2, 195, 510, 275.5
2, 508, 716, 810.5
2, 508, 716, 815.5
2, 508, 043, 312.9
2, 508, 043, 316.5
2, 821, 062, 616.8
2, 821, 062, 601.5
15.3
2, 820, 194, 247.4
2, 820, 194, 246.7
0.6
2, 819, 947, 415.0
2, 819, 947, 410.3
4.7
3, 129, 591, 909.0
3, 129, 591, 916.0
3, 131, 851, 972.4
3, 131, 851, 979.9
3, 131, 323, 973.2
3, 131, 323, 966.6
6.6
3, 441, 816, 632.9
3, 441, 816, 637.6
3, 754, 206, 146.5
3, 754, 206, 144.1
2.4
, , and are the total and rotational angular momentum quantum numbers and the tetrahedral component of the lower levels of the forbidden transitions, respectivley. Trans., allowed transition; Comp., tetrahedral component of the allowed transition; fq., frequency; Cal., calculated. =(Measured fq.)-(Cal. fq.). Two combination differences marked with asterisks were measured in the previous work [18].
Tables (3)
Table 1.
Measured Allowed-Transition Frequencies of the Band of a
Trans.
Comp.
Measured fq. (kHz)
(kHz)
(MHz)
(MHz)
(MHz)
86, 789, 799, 611.8
2.2
0.99
—
86, 791, 594, 163.7
2.6
—
86, 793, 778, 037.9
2.5
—
86, 796, 911, 324.0
3.4
1.70
1.19
—
86, 812, 629, 581.6
2.4
4.14
—
86, 814, 710, 304.0
2.7
0.86
—
86, 825, 968, 892.3
2.3
—
86, 828, 886, 824.6
2.2
—
86, 849, 117, 224.2
2.6
11.76
—
86, 849, 278, 111.6
2.8
4.76
—
86, 849, 580, 677.0
3.9
5.65
—
87, 108, 705, 718.2
3.2
0.94
0.14
87, 110, 620, 556.3
2.2
0.88
0.02
87, 114, 104, 427.0
3.7
87, 128, 156, 558.2
2.6
0.00
87, 137, 341, 047.2
3.1
8.65
0.02
87, 139, 103, 696.4
2.7
0.84
0.96
87, 141, 721, 756.9
2.5
6.50
0.15
87, 159, 299, 076.0
2.7
9.34
0.06
87, 159, 743, 216.2
2.7
0.27
87, 425, 525, 323.3
2.2
87, 428, 529, 768.0
2.5
87, 431, 362, 196.0
2.6
1.10
0.04
87, 442, 078, 690.8
2.8
5.81
87, 448, 447, 306.4
2.5
1.22
87, 451, 442, 423.3
2.4
2.98
87, 468, 319, 166.8
2.9
0.25
87, 469, 023, 275.5
3.4
11.49
0.11
87, 469, 331, 371.0
2.1
0.37
0.53
87, 740, 265, 613.0
2.9
1.07
87, 742, 746, 571.0
2.9
2.25
0.03
87, 745, 808, 157.8
2.2
87, 751, 536, 553.0
2.2
3.41
0.01
87, 760, 424, 091.8
2.1
5.38
87, 762, 118, 601.8
2.4
1.64
87, 777, 197, 025.6
2.4
4.51
0.01
87, 778, 139, 172.4
2.6
0.15
88, 056, 079, 506.4
2.2
2.86
88, 058, 283, 911.6
2.5
1.18
0.15
88, 063, 885, 765.9
2.8
5.68
88, 072, 045, 716.7
2.5
0.01
88, 084, 799, 327.7
2.5
4.92
88, 085, 481, 994.5
2.4
4.97
88, 086, 573, 892.6
2.6
1.71
0.99
0.01
90, 203, 024, 781.0
2.9
—
90, 203, 035, 698.1
3.2
16.32
43.00
—
90, 242, 861, 404.3
3.4
2.93
—
90, 242, 873, 911.9
2.9
2.74
—
90, 242, 879, 440.2
3.7
2.67
41.86
—
90, 257, 624, 170.3
3.5
4.31
90, 264, 292, 311.8
2.9
25.23
0.17
90, 264, 855, 870.0
2.8
6.58
90, 280, 509, 345.2
3.4
19.66
—
90, 280, 575, 289.2
3.6
11.39
—
90, 295, 381, 907.5
3.2
0.16
90, 298, 367, 659.4
2.8
1.96
90, 299, 370, 976.1
2.8
3.22
0.43
0.10
90, 304, 361, 593.7
2.4
90, 312, 583, 519.2
3.6
0.35
90, 315, 860, 433.9
2.7
11.19
—
90, 315, 948, 508.9
3.5
—
90, 316, 123, 014.2
2.8
11.29
—
90, 318, 785, 246.3
3.3
0.77
90, 323, 055, 272.5
3.7
1.13
90, 324, 951, 182.1
3.2
0.01
90, 329, 810, 743.4
3.8
2.31
90, 331, 277, 255.7
3.5
90, 332, 130, 944.0
2.7
0.25
90, 332, 479, 746.6
3.4
0.00
90, 339, 694, 904.5
2.8
0.06
90, 342, 803, 013.4
2.5
0.93
90, 345, 235, 846.5
2.9
0.03
90, 348, 788, 925.6
3.1
3.42
90, 349, 167, 056.1
2.9
15.32
90, 351, 646, 408.7
2.9
0.08
90, 359, 262, 569.8
3.1
90, 360, 309, 720.9
3.7
0.05
90, 362, 596, 827.9
3.5
0.07
90, 365, 736, 365.8
3.2
3.03
0.37
90, 367, 765, 489.6
3.2
90, 376, 685, 393.8
2.7
2.04
90, 378, 783, 895.0
2.6
1.90
90, 379, 477, 644.7
2.9
1.93
90, 379, 843, 340.1
3.2
6.99
90, 382, 579, 209.2
3.9
0.27
90, 385, 664, 963.4
3.1
90, 387, 470, 162.5
3.3
1.43
90, 388, 941, 358.7
3.1
5.64
90, 390, 172, 416.6
2.3
90, 393, 517, 875.9
2.4
90, 405, 139, 447.6
2.7
90, 408, 600, 295.4
2.6
90, 411, 566, 109.6
2.9
2.77
90, 411, 883, 753.6
3.5
90, 417, 079, 294.9
3.2
2.86
0.00
90, 426, 450, 987.8
2.5
2.98
90, 428, 470, 084.7
3.0
90, 799, 708, 460.6
3.5
2.95
19.20
91, 091, 893, 215.7
2.9
21.16
0.02
91, 381, 337, 559.6
2.5
0.57
0.32
91, 381, 810, 593.2
2.9
0.24
91, 667, 162, 824.7
3.4
17.31
—
91, 668, 334, 226.7
3.1
0.98
15.10
—
91, 669, 360, 660.7
3.5
—
91, 951, 269, 127.0
3.1
—
91, 953, 374, 501.5
3.7
8.35
0.79
—
91, 954, 174, 062.0
2.7
9.92
—
91, 955, 347, 354.0
3.1
—
92, 232, 637, 852.8
3.5
0.59
—
92, 233, 215, 602.3
3.2
3.60
—
92, 236, 455, 591.8
3.4
3.68
1.25
—
92, 237, 899, 760.3
2.7
0.61
1.45
—
92, 510, 922, 578.0
2.7
—
92, 511, 775, 752.1
2.9
10.12
—
92, 512, 761, 043.9
3.7
6.77
—
92, 516, 874, 711.6
2.7
6.73
—
92, 518, 101, 968.7
3.3
5.45
—
92, 518, 525, 308.7
3.4
5.27
—
92, 787, 585, 459.3
3.7
5.85
—
92, 788, 887, 488.2
3.8
—
92, 789, 683, 445.0
3.6
1.22
—
92, 791, 139, 133.0
3.9
3.10
—
92, 796, 290, 802.2
3.8
14.15
2.88
—
92, 796, 888, 537.8
3.4
10.40
0.11
—
93, 061, 736, 347.4
4.3
6.89
—
93, 062, 191, 263.3
3.6
—
93, 064, 093, 212.4
3.7
2.17
—
93, 065, 667, 134.7
3.5
—
93, 072, 637, 303.6
3.7
—
93, 072, 814, 440.8
3.0
20.70
—
93, 073, 131, 925.9
3.9
—
Trans., transition; Comp., tetrahedral component; fq., frequency; , the standard deviation. =(frequency from the HITRAN 2008 database [7])-(Measured fq.), =(frequency from the FTIR data [8])-(Measured fq.), and =(frequency from the dual-comb data [9])-(Measured fq.).
Table 2.
Measured Forbidden-Transition Frequencies of the Band of a
Measured fq. (kHz)
(kHz)
(MHz)
(MHz)
18
90, 548, 872, 130.9
12.2
—
14
90, 551, 117, 470.5
13.7
—
15
90, 553, 920, 731.7
12.6
2.68
—
18
90, 560, 330, 445.5
14.2
—
12
90, 562, 349, 009.3
12.3
0.94
21
90, 565, 411, 735.9
13.4
6.35
—
22
90, 568, 553, 930.9
13.2
—
17
90, 569, 328, 656.2
11.9
2.53
—
14
90, 571, 670, 599.9
11.8
7.33
—
24
90, 572, 146, 826.7
12.0
2.08
48.76
10
90, 572, 599, 169.8
13.0
8.81
—
28
90, 572, 602, 576.4
16.4
6.12
—
10
90, 577, 562, 991.1
12.0
6.58
—
31
90, 580, 089, 029.6
13.3
2.19
—
37
90, 580, 299, 278.8
11.8
3.11
—
34
90, 580, 618, 339.2
11.8
3.75
27.58
23
90, 582, 066, 016.8
13.2
13.00
0.38
38
90, 582, 766, 396.5
12.8
2.24
0.29
15
90, 583, 538, 389.8
12.1
8.15
and are the total and rotational angular momentum quantum numbers, respectively, Comp. is the tetrahedral component, and is the multiplicity index. Double and single primes represent the lower and upper levels. fq., frequency; , uncertainty. =(frequency from the HITRAN 2008 database [7])-(Measured fq.), and =(frequency from the FTIR data [8])-(Measured fq.).
Table 3.
Measured Combination Differences in the Ground Vibrational State of a
Trans.
Comp.
Measured fq. (kHz)
Cal. (kHz)
(kHz)
1, 256, 225, 468.2
1, 256, 225, 446.2
22.0
1, 569, 839, 640.1
1, 569, 839, 656.9
1, 569, 748, 123.7
1, 569, 748, 130.3
1, 883, 203, 965.6
1, 883, 203, 968.1
1, 882, 961, 584.3
1, 882, 961, 582.3
1.9
2, 195, 965, 229.8
2, 195, 965, 224.3
5.5
2, 195, 510, 271.6
2, 195, 510, 275.5
2, 196, 179, 626.3
2, 196, 179, 622.5
3.8
2, 195, 965, 226.4
2, 195, 965, 224.3
2.0
2, 195, 510, 270.0
2, 195, 510, 275.5
2, 508, 716, 810.5
2, 508, 716, 815.5
2, 508, 043, 312.9
2, 508, 043, 316.5
2, 821, 062, 616.8
2, 821, 062, 601.5
15.3
2, 820, 194, 247.4
2, 820, 194, 246.7
0.6
2, 819, 947, 415.0
2, 819, 947, 410.3
4.7
3, 129, 591, 909.0
3, 129, 591, 916.0
3, 131, 851, 972.4
3, 131, 851, 979.9
3, 131, 323, 973.2
3, 131, 323, 966.6
6.6
3, 441, 816, 632.9
3, 441, 816, 637.6
3, 754, 206, 146.5
3, 754, 206, 144.1
2.4
, , and are the total and rotational angular momentum quantum numbers and the tetrahedral component of the lower levels of the forbidden transitions, respectivley. Trans., allowed transition; Comp., tetrahedral component of the allowed transition; fq., frequency; Cal., calculated. =(Measured fq.)-(Cal. fq.). Two combination differences marked with asterisks were measured in the previous work [18].