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. 2021 Jun 29;154(24):244310. doi: 10.1063/5.0055267

TABLE II.

Spectroscopic constants for isotopologues of thiophene  (S-reduced Hamiltonian, Ir representation).a

Isotopologue C4H4Sb [2-13C]b [3-13C]b [34S]b [33S]b [2-2H]b
A0(S) (MHz) 8 041.595 658(44) 7 852.775 54(31) 7 981.280 38(34) 8 041.715 07(20) 8 041.651 5(20) 7 437.197 29(20)
B0(S) (MHz) 5 418.262 629(36) 5 418.405 62(10) 5 319.305 933(98) 5 274.184 579(69) 5 344.297 61(59) 5 413.721 571(84)
C0(S) (MHz) 3 235.780 781  (39) 3 204.806 550(87) 3 190.618 898(88) 3 183.843 198(67) 3 209.258 34(13) 3 131.815 069(83)
DJ  (kHz) 0.703 074(26) 0.699 151(61) 0.675 952(59) 0.680 947(46) 0.691 62(14) 0.681 599(56)
DJK  (kHz) 0.535 835(27) 0.506 44(37) 0.551 34(32) 0.510 05(19) 0.521 62(77) 0.444 81(26)
DK  (kHz) 1.652 637(67) 1.583 22(56) 1.611 09(65) 1.699 58(45) 1.665 9(33) 1.269 81(35)
d1  (kHz) −0.3116416(36) −0.313 237(19) −0.298 436(19) −0.297 537(19) −0.304 257(86) −0.313 542(24)
d2  (kHz) −0.067 394 2(18) −0.068 193(11) −0.064 8635(97) −0.062 968 7(79) −0.065 028(28) −0.069 745 1(78)
HJ  (Hz) 0.000 212 5(54) 0.000 218(14) 0.000 203(14) 0.000 197(12) [0.000 212] 0.000 225(17)
HJK  (Hz) −0.001668(10) −0.001 54(18) −0.001 48(15) [–0.001 66] [–0.001 69] −0.001 82(18)
HKJ  (Hz) 0.002 158(32) 0.003 03(51) 0.001 79(36) 0.002 09(20) [0.002 18] 0.00247(37)
HK  (Hz) [0.000 672] [0.000 597] [0.000 672] [0.000 759] [0.000 716] [0.000 387]
h1  (Hz) 0.000 131 05(73) [0.000 128] [0.000 121] 0.000 122 0(61) [0.000 126] 0.000 122 4(73)
h2  (Hz) 0.000 043 05(56) [0.000 0360] [0.000 038 6] 0.000 041 4(25) [0.000 036 7] 0.000 032 9(50)
h3  (Hz) 0.000 022 52(14) [0.000 0221] [0.000 020 3] 0.000 021 08(86) [0.000 020 5] 0.000 021 9(10)
Nlinesc 3 270 965 983 1262 258 1350
σ  (MHz) 0.022 0.030 0.029 0.024 0.029 0.028
κd −0.917 −0.047 5 −0.111 −0.139 −0.116 0.060 0
Δi  (μÅ2)e 0.065 692 3(20) 0.066 543 0(53) 0.066 298 4(55) 0.066 441 0(39) 0.065 992(20) 0.064 984 2(49)
Isotopologue [3-2H]b [2,3-2H] [2,4-2H] [2,5-2H] [3,4-2H] [2,3,4-2H]
A0(S) (MHz) 7 855.997 58(11) 7 277.001 30(27) 7 288.383 17(21) 6 903.426 58(12) 7 616.557(16) 7 072.276 05(33)
B0(S) (MHz) 5 138.229 854(63) 5 137.627 501(97) 5 124.657 587(77) 5 410.698 544  (68) 4 914.679 4  (78) 4 909.469 19  (10)
C0(S) (MHz) 3 105.222 733  (72) 3 010.350 104  (87) 3 007.831 223  (83) 3 032.130 273  (70) 2 986.054 60  (18) 2 896.801 160  (94)
DJ  (kHz) 0.606 648  (43) 0.592 435  (59) 0.578 844  (46) 0.666 346  (46) 0.537 95  (23) 0.520 247  (60)
DJK  (kHz) 0.567 38  (10) 0.457 48  (34) 0.538 407  (90) 0.326 19  (15) [0.531] 0.469 51  (35)
DK  (kHz) 1.524 38  (13) 1.178 63  (53) 1.142 75  (32) 1.001 64  (15) [1.40] 1.075 91  (53)
d1  (kHz) −0.265 109  (10) −0.268 999  (28) −0.262 829  (14) −0.316 194  (18) −0.233 02  (18) −0.234 458  (26)
d2  (kHz) −0.058 206 4  (36) −0.060 220  (10) −0.060 718 8  (32) −0.070 902 5  (42) −0.050 945  (68) −0.053 293 1  (94)
HJ  (Hz) 0.000 146 5  (92) 0.000 142  (21) 0.000 120 9  (96) 0.000 236  (10) [0.000 123] 0.000 123  (19)
HJK  (Hz) −0.001 063  (43) −0.001 10  (18) [–0.000 752] −0.001 619  (44) [–0.000 972] −0.000 80  (11)
HKJ  (Hz) 0.001 17  (10) 0.001 43  (38) [0.000 762] 0.002 274  (91) [0.001 29] 0.001 23  (28)
HK  (Hz) [0.000 920] [0.000 530] [0.000 791] [0.000 116] [0.000 696] [0.000 472]
h1  (Hz) 0.0000964  (20) 0.000 084  (10) [0.000 087 8] 0.000 122 2  (46) [0.000 079 4] 0.000 082 1  (97)
h2  (Hz) 0.000 038 5  (12) 0.000 030 7  (52) [0.000 040 1] [0.000 030 9] [0.000 029 3] [0.000 029 2]
h3  (Hz) 0.000 016 76  (26) 0.000 018 1  (12) [0.000 016 8] 0.000 025 05  (58) [0.000 013 6] 0.000 015 9  (14)
Nlinesc 1 880 1 187 1 171 1 651 203 1 049
σ  (MHz) 0.029 0.030 0.030 0.027 0.038 0.032
κd −0.144 1 −0.002 8 −0.011 0 0.228 8 −0.167 0 −0.036 0
Δi  (μÅ2)e 0.064 312 3  (41) 0.063 507 3  (58) 0.063 593 3  (53) 0.063 937 3  (43) 0.063 22  (22) 0.062 244 6  (70)
Isotopologue [2,3,5-2H] [2,3,4,5-2H] [2,5-2H, 34S] [2,3,5-2H, 34S] [2,3,4,5-2H, 34S]f [2,5-2H, 2-13C]
A0(S) (MHz) 6 775.849 57 (12) 6 587.731 79 (20) 6 903.535 0 (11) 6 773.399 56 (92) 6 588.36 (32) 6 763.947 (25)
B0(S) (MHz) 5 124.449 058 (64) 4 905.808 107 (85) 5 268.343 08 (37) 4 992.253 90 (32) 4 777.72 (18) 5 410.781 (17)
C0(S) (MHz) 2 916.731 610 (66) 2 810.897 843 (77) 2 986.906 70 (30) 2 872.969 11 (23) 2 768.492 1 (18) 3 004.929 39 (26)
DJ (kHz) 0.567 721 (40) 0.507 404 (48) 0.645 38 (15) 0.552 89 (13) 0.487 0 (65) 0.667 44 (43)
DJK (kHz) 0.418 49 (19) 0.377 71 (25) 0.317 68 (78) 0.376 2 (24) [0.348] [0.271]
DK (kHz) 0.888 63 (18) 0.843 81 (29) 1.035 4 (14) 0.964 8 (52) [0.882] [0.996]
d1 (kHz) −0.266 630 (16) −0.236 303 (23) −0.302 494 (66) −0.255 757 (61) −0.222 5 (45) −0.318 45 (33)
d2 (kHz) −0.062 119 2 (50) −0.054 507 4 (35) −0.066 729 (35) −0.057 659 (83) −0.050 3 (12) −0.070 65 (11)
HJ (Hz) 0.000 151 (12) 0.000 144 (17) 0.000 237 (30) 0.000 111 (16) [0.000 116] [0.000 229]
HJK (Hz) −0.000 862 (70) −0.000 906 (94) −0.001 27 (36) [–0.000 792] [–0.000 780] [–0.001 54]
HKJ (Hz) [0.000 857] [0.001 05] [0.001 85] [0.000 895] [0.001 01] [0.002 03]
HK (Hz) [0.000 474] [0.000 270] [0.000 173] [0.000 473] [0.000 301] [0.000 068 2]
h1 (Hz) 0.000 093 6 (52) 0.000 080 2 (86) [0.000 116] [0.000 084 3] [0.000 071 7] [0.000 121]
h2 (Hz) 0.000 037 9 (16) [0.000 027 0] [0.000 029 2] [0.000 032 8] [0.000 024 9] [0.000 027 3]
h3 (Hz) 0.000 017 90 (55) 0.000 015 52 (66) [0.000 021 0] [0.000 015 8] [0.000 013 1] [0.000 023 6]
Nlinesc 1672 1 349 420 458 39 165
σ (MHz) 0.027 0.031 0.042 0.039 0.039 0.044
κd 0.144 2 0.109 3 0.165 0 0.086 7 0.052 0 0.280 0
Δi (μÅ2)e 0.062 470 0 (44) 0.061 092 5 (58) 0.064 788 (22) 0.063 317 (19) 0.060 8 (56) 0.064 52 (41)
Isotopologue [2,5-2H, 3-13C] [2-2H, 34S] [3-2H, 2-13C] [3-2H, 3-13C] [3-2H, 4-13C] [3-2H, 5-13C]
A0(S) (MHz) 6 860.081 (23) 7 436.863 (16) 7 681.747 (50) 7 816.981 (61) 7 775.956 (56) 7 671.947 (41)
B0(S) (MHz) 5 310.447 (15) 5 270.700 0 (92) 5 137.725 (24) 5 045.949 (27) 5 060.889 (25) 5 138.103 (19)
C0(S) (MHz) 2 992.158 23 (26) 3 083.341 37 (19) 3 077.431 02 (28) 3 065.287 40(28) 3 064.440 94 (27) 3 075.993 25 (24)
DJ (kHz) 0.641 97 (37) 0.663 89 (23) 0.605 49 (44) 0.585 84(48) 0.588 84 (51) 0.602 06 (37)
DJK (kHz) [0.329] [0.404] [0.520] [0.563] [0.552] [0.534]
DK (kHz) [0.989] [1.33] [1.47] [1.51] [1.49] [1.46]
d1 (kHz) −0.303 29 (28) −0.301 28 (18) −0.267 33 (34) −0.254 28 (37) −0.256 68 (39) −0.265 54 (28)
d2 (kHz) −0.067 76 (10) −0.065 200 (70) −0.058 59 (13) −0.055 59 (14) −0.056 13 (14) −0.058 44 (11)
HJ (Hz) [0.000 200] [0.000 203] [0.000 151] [0.000 134] [0.000 144] [0.000 147]
HJK (Hz) [–0.001 31] [–0.001 48] [–0.001 14] [–0.000 949] [–0.001 09] [–0.001 08]
HKJ (Hz) [0.001 71] [0.001 89] [0.001 39] [0.001 05] [0.001 39] [0.001 24]
HK (Hz) [0.000 166] [0.000 450] [0.000 827] [0.000 979] [0.000 771] [0.000 901]
h1 (Hz) [0.000 114] [0.000 119] [0.000 095 9] [0.000 090 4] [0.000 0931] [0.000 095 3]
h2 (Hz) [0.000 032 9] [0.000 034 0] [0.000 034 6] [0.000 036 8] [0.000 0346] [0.000 036 0]
h3 (Hz) [0.000 021 6] [0.000 020 3] [0.000 016 9] [0.000 015 5] [0.000 0159] [0.000 016 8]
Nlinesc 174 237 133 112 113 143
σ (MHz) 0.045 0.039 0.046 0.041 0.041 0.040
κd 0.198 7 0.004 9 −0.105 1 −0.166 3 −0.152 5 −0.102 6
Δi (μÅ2)e 0.064 70 (38) 0.065 73 (23) 0.065 19 (64) 0.064 83 (75) 0.064 95 (69) 0.065 15 (52)
Isotopologue [3-2H, 34S] [3-2H, 33S]f
A0(S) (MHz) 7 854.541 26 (65) 7 854.84 (47)
B0(S) (MHz) 5 003.229 49 (16) 5 069.12 (20)
C0(S) (MHz) 3 055.165 94 (14) 3079.662 92 (44)
DJ (kHz) 0.588 513 (76) 0.595 8 (15)
DJK (kHz) 0.537 56 (46) [0.534]
DK (kHz) 1.570 5 (12) [1.56]
d1 (kHz) −0.253 387 (27) −0.257 1 (11)
d2 (kHz) −0.054 331 (10) −0.054 93 (42)
HJ (Hz) 0.000 157 (17) [0.000 146]
HJK (Hz) −0.001 03 (16) [–0.001 103]
HKJ (Hz) [0.001 26] [0.001 28]
HK (Hz) [0.000 964] [0.000 942]
h1 (Hz) [0.000 092 2] [0.000 094 3]
h2 (Hz) [0.000 033 0] [0.000 034 5]
h3 (Hz) [0.000 015 0] [0.000 015 7]
Nlinesc 664 57
σ (MHz) 0.035 0.045
κd −0.188 2 −0.166 7
Δi (μÅ2)e 0.065 030 5 (99) 0.064 8 (56)
a

Values in square brackets held fixed at the CCSD(T)/cc-pCVTZ predicted value in the least-squares fit.

b

Includes previously reported transitions.24,25,31,32,34

c

Number of independent frequencies in the fit.

d

κ = (2BAC)/(AC), calculated using PLAN.

e

Δi = IcIbIa, calculated using PLAN.

f

Shaded columns indicate that the isotopologue is not included in structure determination.