SO2

Rotational and centrifugal distortion constants
for the ground vibrational state of 32S16O2 and 33S16O2
Watson's
Determinable
Parameters		 32S16O2 Valuea
[MHz]		 33S16O2 Valuea
[MHz]		 Ref.
A″ 60 778.5553(56) 59 856.4540(681) 78007
B″ 10 317.912 20(106) 10 318.1328(121)
C″ 8799.651 056(927) 8780.089 34(116)
τ1 0.388 3076(1118) 0.381 875 ± 0.0092
τ2 0.031 570 71(1652) 0.031 6319 ± 0.0014
τ3 b 0.727 84(44) 0.670 ± 0.032
τaaaa -9.917 148(221) -9.628 00 ± 0.014
τbbbb -0.040 045 91(753) -0.039 6980 ± 0.000 56
τcccc -0.012 829 24(624) -0.012 705 ± 0.000 35
HJ 0.137 29(1361) x 10-7 (-0.636 83 ± 0.36) x 10-6
HJK 0.1129(291) x 10-6 (-0.174 36 ± 0.089) x 10-4
HKJ -0.184 810(797) x 10-4 (0.500 98 ± 0.34) x 10-4
HK 0.354 211(587) x 10-3 (-0.1257 ± 0.25) x 10-3
hJ c 0.101 46(241) x 10-7 (-0.1553 ± 0.078) x 10-6
hJK 0.493 16(4775) x 10-6 (-0.5277 ± 0.46) x 10-5
hK 0.124 11(1467) x 10-4 (0.1324 ± 0.11) x 10-3
Std. dev. 0.086 0.111
No. lines fit 198 40
Derived Parameters
 (assuming planarity conditions)
A′ 60 778.5452(56) 59 856.444(68) 78007
B′ 10 317.9625(10) 10 318.1809(117)
C′ 8799.8050(9) 8780.2420(121)
τ′bbcc -0.020 151 3(60) -0.019 64(48)
τ′ccaa 0.100 672(34) 0.0962(23)
τ′aabb 0.307 787(94) 0.3053(65)
τaabb(1) 0.427 37(5) 0.4221(36)
τaabb(2) 0.419 48(9) 0.4059(34)
τaabb(3) 0.419 48(9) 0.4059(34)
τabab(1) -0.059 80(5) -0.0584(15)
τabab(2) -0.052 89(5) -0.0442(41)
τabab(3) -0.051 89(7) -0.0422(45)
Δτ -0.246(3) x10-3 -0.516(104) x10-3

a The uncertainties quoted are one standared deviation as estimated by the least squares fit. The number of significant figures quoted are necessary to reproduce the calculated transition frequencies within their standard deviations.

b Strictly speaking, τ3 is not a determinable parameter, but is calculated from τ1, τ2, τaaaa, and τbbbb using the planarity conditions.

c Watson uses 2hJ for this parameter.

Rotational and centrifugal distortion constants
for the (1,0,0) and (0,0,1) vibrational states of 32S16O2
Watson's
Determinable
Parameters		 32S16O2 υ1=1 Value a
[MHz]		 32S16O2 υ3=1 Value a
[MHz]		 Ref.
A″ 60 810.908(87) 60 158.405(86) 78007
B″ 10 268.097(15) 10 283.0482(192)
C″ 8757.3121(17) 8766.868 35(1655)
τ1 0.354 762 ± 0.0136 0.481 166 ± 0.023
τ2 0.027 035 ± 0.0020 0.044 701 9 ± 0.0034
τ3 b 0.821 ± 0.048 0.450 ± 0.080
τaaaa -10.0546 ± 0.024 -9.879 82 ± 0.034
τbbbb -0.041 052 5 ± 0.000 84 -0.036 2180 ± 0.0014
τcccc -0.013 630 ± 0.000 55 -0.011 006 ± 0.0008
HJ (0.661 87 ± 0.59) x 10-6 (-0.220 903 ± 0.079) x 10-5
HJK (0.127 98 ± 0.17) x 10-4 (-0.766 512 ± 0.23) x 10-4
HKJ (-0.519 19 ± 0.76-) x 10-4 (0.245 58 ± 0.081) x 10-3
HK (0.6008 ± 0.52) x 10-3 (-0.107 60 ± 0.052) x 10-2
hJ c (0.4347 ± 1.66) x 10-7 (-0.769 72 ± 0.23) x 10-6
hJK (0.1132 ± 0.064) x 10-4 (-0.4544 ± 0.73) x 10-5
hK (-0.1522 ± 0.13) x 10-3 (-0.6118 ± 1.31) x 10-4
Std. dev. 0.190 0.151
No. lines fit 41 33
Derived Parameters
 (assuming planarity conditions)
A′ 60 810.898(87) 60 158.397(86) 78007
B′ 10 268.146(15) 10 283.107(17)
C′ 8757.451(17) 8767.058(17)
τ′bbcc -0.021 04(72) -0.0167(12)
τ′ccaa 0.0972(34) 0.1180(60)
τ′aabb 0.2786(97) 0.380(16)
τaabb(1) 0.4245(52) 0.4533(92
τaabb(2) 0.4153(83) 0.4091(89)
τaabb(3) 0.4153(83) 0.4091(89)
τabab(1) -0.0730(25) -0.0368(35)
τabab(2) -0.0649(86) 0.002(13)
τabab(2) -0.0637(96) 0.007(14)
Δτ -0.287(242) x 10-3 -0.139(36) x 10-2

aThe uncertainties quoted are one standared deviation as estimated by the least squares fit. The number of significant figures quoted are necessary to reproduce the calculated transition frequencies within their standard deviations.

b Strictly speaking, τ3 is not a determinable parameter, but is calculated from τ1, τ2, τaaaa, and τbbbb using the planarity conditions.

c Watson uses 2hJ for this parameter.

Rotational and centrifugal distortion constants
for the (0,1,0) and (0,2,0) vibrational states of 32S16O2
Watson's
Determinable
Parameters		 32S16O2 υ2=1 Value a
[MHz]		 32S16O2 υ2=2 Value a
[MHz]		 Ref.
A″ 61 954.7930(177) 63 185.5876(656) 78007
B″ 10 320.2147(32) 10 322.1482(114)
C″ 8783.805 17(276) 8767.776 79(1004)
τ1 0.409 448 9(5437) 0.441 451 ± 0.0070
τ2 0.033 616 85(7973) 0.037 203 7 ± 0.0010
τ3 b 0.6996(21) 0.6355 ± 0.024
τaaaa -11.026 98(118) -12.283 9 ± 0.014
τbbbb -0.040 132 76(3566) -0.039 616 4 ± 0.000 40
τcccc -0.012 747 7(275) -0.012 326 ± 0.000 26
HJ (0.2793 ± 0.78) x 10-8 (-0.315 51 ± 0.16) x 10-6
HJK (-0.3777 ± 1.64) x 10-7 (-0.783 31 ± 0.42) x 10-5
HKJ (-0.210 90 ± 0.011) x 10-4 (0.1111 ± 0.19) x 10-4
HK (0.438 41 ± 0.010) x 10-3 (0.263 42 ± 0.14) x 10-3
hJ c (0.112 90 ± 0.0080) x 10-7 (-0.4662 ± 0.29) x 10-7
hJK (0.1301 ± 0.20) x 10-6 (-0.3455 ± 0.19) x 10-5
hK (0.1509 ± 0.048) x 10-4 (0.103 31 ± 0.038) x 10-3
Std. dev. 0.114 0.143
No. lines fit 90 52
Derived Parameters
 (assuming planarity conditions)
A′ 61 954.783(18) 63 185.578(66) 78007
B′ 10 320.2697(32) 10 322.210(11)
C′ 8783.9647(27) 8767.945(10)
τ′bbcc -0.019 572(29) -0.018 39(36)
τ′ccaa 0.110 04(17) 0.1231(17)
τ′aabb 0.318 98(45) 0.3368(49)
τaabb(1) 0.468 21(24) 0.5171(27)
τaabb(2) 0.446 20(31) 0.4752(18)
τaabb(3) 0.446 20(31) 0.4752(18)
τabab(1) -0.074 62(22) -0.0920(12)
τabab(2) -0.055 29(18) -0.0533(24)
τabab(3) -0.052 45(22) -0.0478(26)
Δτ -0.689(12) x 10-3 0.1312(54) x 10-2

a The uncertainties quoted are one standared deviation as estimated by the least squares fit. The number of significant figures quoted are necessary to reproduce the calculated transition frequencies within their standard deviations.

b Strictly speaking, τ3 is not a determinable parameter, but is calculated from τ1, τ2, τaaaa, and τbbbb using the planarity conditions.

c Watson uses 2hJ for this parameter.

Rotational and centrifugal distortion constants
for ground and (0,1,0) vibrational states of 34S16O2
Watson's
Determinable
Parameters		 34S16O2 (0,0,0) Value a
[MHz]		 34S16O2 (0,1,0) Value a
[MHz]		 Ref.
A″ 58 991.1970(150) 60 129.228(339) 78007
B″ 10 318.3582(28) 10 320.298(63)
C″ 8761.258 10(246) 8745.0711(513)
τ1 0.367 168(717) 0.379 64 ± 0.029
τ2 0.030 304 7(1098) 0.031 482 ± 0.0043
τ3 b 0.6542(24) 0.64 ± 0.09
τaaaa -9.338 295(1597) -10.2580 ± 0.043
τbbbb -0.040 071 8(447) -0.040 042 ± 0.0017
τcccc -0.012 533(35) -0.012 357 ± 0.0012
HJ (0.2242 ± 0.099) x 10-7  
HJK (0.3456 ± 0.63) x 10-6
HKJ (-0.213 18 ± 0.037) x 10-4
HK (0.361 97 ± 0.026) x 10-3
hJ c (0.672 ± 0.82) x 10-8
hJK (0.6369 ± 0.59) x 10-6
hK (0.7388 ± 1.74) x 10-5
Std. dev. 0.083 0.401
No. lines fit 59 24
Derived Parameters
 (assuming planarity conditions)
A′ 58 991.187(15) 60 129.218(338) 78007
B′ 10 318.4033(27) 10 320.347(61)
C′ 8761.4064(24) 8745.221(49)
τ′bbcc -0.019 739(40) -0.0191(15)
τ′ccaa 0.090 27(31) 0.0992(83)
τ′aabb 0.296 64(49) 0.300(19)
τaabb(1) 0.414 04(44) 0.451(13)
τaabb(2) 0.406 18(80) 0.431(9)
τaabb(3) 0.406 18(80) 0.431(9)
τabab(1) -0.058 71(25) -0.0755(33)
τabab(2) -0.051 84(78) -0.0588(66)
τabab(3) -0.050 83(88) -0.0563(71)
Δτ -0.256(29) x 10-3 -0.62(14) x 10-3

a The uncertainties quoted are one standared deviation as estimated by the least squares fit. The number of significant figures quoted are necessary to reproduce the calculated transition frequencies within their standard deviations.

b Strictly speaking, τ3 is not a determinable parameter, but is calculated from τ1, τ2, τaaaa, and τbbbb using the planarity conditions.

c Watson uses 2hJ for this parameter.

Rotational and quartic distortion constants for all isotopic species and vibrational states analyzed for SO2 by the Kielson and Wilson method a
Isotopic
Species		 Vib.
State		 A′ B′ C′ τ′aaaa τ′bbbb τ′aabb τ′abab Ref.
32S16O2 (0,0,0) 60 778.514 10 317.965 8799.804 -9.874 11 -0.040 090  0.421 71 -0.056 17 68036
(1,0,0) 60 811.038 10 268.174 8757.465 -10.023 97 -0.041 791  0.416 72 -0.071 40
(0,1,0) 61 954.687 10 320.256  8783.941 -10.966 07 -0.040 361  0.457 57 -0.066 49
(0,0,1) 60 158.431 10 283.159  8767.041 -9.714 37 -0.040 616  0.417 71 -0.045 10
(0,2,0) 63 185.787 10 322.313  8767.940 -11.920 63 -0.048 489  0.443 19 -0.099 91
(0,3,0) 64 474.75 10 323.98  8751.89   69039
(1,1,0) 61 993.90 10 270.61  8742.11
(0,1,1) 61 315.42 10 285.17  8750.50
(1,0,1) 60 183.04 10 233.31  8723.59
(2,0,0) 60 842.29 10 218.40  8715.38
(0,0,2) 59 544.76 10 247.91  8734.14
34S16O2 (0,0,0) 58 991.174 10 318.399  8761.394 -9.318 85 -0.040 074  0.409 44 -0.055 85 65015
(0,1,0) 60 130.514 10 320.598  8745.3716 -10.060 05 -0.049 991  0.363 70 -0.086 13 63016
33S16O2 (0,0,0) 59 856.387 10 318.283  8780.124 -9.540 37 -0.040 133  0.410 53 -0.055 66 68017
(0,1,0) 61 013.738 10 320.48  8764.2976 -10.325 46 -0.049 430  0.369 25 -0.084 74 64015
32S16O18O (0,0,0) 59 101.191  9724.523  8331.647 -9.344 27 -0.035 482  0.383 33 -0.050 35 65016
(0,1,0) 60 212.028  9726.741  8317.2379 -10.212 85 -0.037 730  0.394 44 -0.067 10 64012
32S18O2 (0,0,0) 57 384.526  9170.351  7889.6007 -8.737 36 -0.032 574  0.338 91 -0.045 38 63010
(0,1,0) 58 432.942  9172.691  7876.7265 -9.631 21 -0.034 810  0.355 94 -0.062 41 64012
34S16O18O (0,0,0) 57 314.690  9724.228  8294.697 -8.753 29 -0.035 421  0.371 85 -0.051 07 65016
(0,1,0) 58 390.506  9726.328  8280.1595 -9.601 74 -0.038 290  0.380 55 -0.068 21 64015
34S18O2 (0,0,0) 55 597.855  9170.815  7854.9773 -8.243 54 -0.031 857  0.339 22 -0.045 80 63017
(0,1,0) 56 611.880  9172.937  7841.8818 -9.016 47 -0.033 977  0.346 20 -0.058 32 64015
33S16O18O (0,0,0) 58 179.596  9724.495  8312.748 -8.983 94 -0.036 655  0.367 24 -0.051 99 68017
33S18O2 (0,0,0) 56 463.093 9170.713  7871.928 -8.512 91 -0.031 434  0.346 78 -0.043 55
32S16O17O (0,0,0) 59 883.544 10 008.076  8555.1956 -9.531 88 -0.037 835  0.397 29 -0.055 52 65017
(0,1,0) 61 024.922 10 010.312  8540.0787 -10.461 94 -0.041 371  0.401 71 -0.073 46
32S17O2 (0,0,0) 58 977.398 9709.1769 8317.7300 -9.230 91 -0.036 151  0.374 50 -0.051 03 68037
(0,1,0) 60 085.210  9711.4564  8305.4243 -10.229 63 -0.036 417  0.406 93 -0.060 79
34S16O17O (0,0,0) 58 096.578 10 008.3346  8517.6794 -9.859 11 -0.039 230  0.375 08 -0.056 12 65017
(0,1,0) 59 200.674 10 010.1790  8502.2035 -9.943 47 -0.037 375  0.425 98 -0.069 48
34S17O2 (0,0,0) 57 190.236  9709.6284  8281.2770 -8.597 31 -0.039 159  0.340 67 -0.056 60 68037
33S16O17O (0,0,0) 58 961.521 10 008.284  8535.969 -9.232 27 -0.038 835  0.383 87 -0.054 65 68017
(0,1,0) 60 085.026 10 010.5588  8520.9077 -10.192 03 -0.043 129  0.367 80 -0.055 01 68037
33S17O2 (0,0,0) 58 055.949  9709.489  8299.264 -8.950 79 -0.036 378  0.364 48 -0.048 53 68017
32S17O18O (0,0,0) 58 184.900  9435.2693  8100.7437 -9.070 95 -0.030 668  0.385 63 -0.042 98 65017
(0,1,0) 59 263.039  9437.7055  8087.1002 -9.875 86 -0.035 927  0.373 94 -0.058 95 68037
33S17O18O (0,0,0) 57 263.881  9435.627  8082.606 -8.720 74 -0.033 828  0.355 98 -0.047 05 68017
34S17O18O (0,0,0) 56 398.745  9435.6558  8065.1794 -8.442 91 -0.034 950  0.344 10 -0.050 96 65017
36S16O2 (0,0,0) 57 399.507 10 318.7849  8725.4710 -8.754 76 -0.041 953  0.381 62 -0.059 24 64014
(0,1,0) 58 507. 10 320.8  8709.3  

a No uncertainties are given in the references cited. See the previous SO2 tables for the constants and uncertainties determined in the present work.

Hyperfine coupling constants, Zeman constants and electric dipole moment for SO2
Parameter Isotopic Species Value Ref.
Hyperfine constants
χaa (33S) [MHz] 33S16O2 -1.91(13) 78007
χbb (33S) [MHz] 25.86(8)
χcc (33S) [MHz] -23.95(8)
χaa (17O) [MHz] a -1.0(1) 65017
χbb (17O) [MHz] 5.8(2)
χcc (17O) [MHz] -4.8(1)
Zeeman constants
gaa (µN) 32S16O2 -0.6037(5) 69027
gbb (µN) -0.1161(2)
gcc (µN) -0.0882(4)
χaa (erg/G2 · mol) -16.07(18)
χbb (erg/G2 · mol) -17.18(12)
χcc (erg/G2 · mol) -21.35(30)
Electric dipole moment
µb [C · m]
     µb [D]		 32S16O2 5.450(3) x 10-30
     1.634(1)		 69042

a Identical values were obtained from 32S16O17O, 34S16O17O, 32S17O18O, and 34S17O18O.




Additional reference for SO2 divided into general categories
Microwave
Spectrum		 Strack and Zeeman
Effect		 Line Width and
Pressure Broadening		 Other
[47009] [66029] [48009] [63012] [72042] [61010]
[51015] [67001] [51008] [63013] [73051] [62003]
[54010] [67017] [51009] [63014] [76026]
[57008] [69040] [59005] [69032]  
[59012] [70031] [65013] [69041]
[62017] [72031] [69043] [70032]
[64017] [73050]   [70033]
[66028] [76027] [70034]

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