O3

Rotational and Centrifugal Distortion Constants
for 16O3, 16O18O16O, and 16O16O18O
Watson's Determinable
Parameters		 16O3 Value a
[MHz]		 16O18O16O Value a
[MHz]		 16O16O18O Value a
[MHz]		 Ref.
A″ 106 536.259(6) 98 646.714 73(273) 104 573.1895(24) [78007]
B″ 13 349.028 73(100) 13 352.528 52(54) 12 591.322 08(44)
C″ 11 834.531 18(90) 11 731.946 24(49) 11 212.652 00(42)
τ1 0.058 0530(2314) -0.003 0321(1126) 0.081 5267(812)
τ2 -0.028 746 25(2927) -0.032 670 22(1513) -0.023 832 37(1013)
τ3 b 4.471(1) 3.8373(5) 4.3062(4)
τaaaa -25.213 39(125) -21. 591 49(66) -24.272 98(50)
τbbbb -0.071 214 05(1350) -0.071 187 73(691) -0.063 345 43(471)
τcccc -0.037 7270(103) -0.036 210 58(595) -0.034 258 90(470)
HJ 0.1001(261) × 10-7 0.1088(124) × 10-7 0.9030(916) × 10-8
HJK -0.2176(1027) × 10-6 -0.1227(869) × 10-6 -0.1506(619) × 10-6
HKJ -0.553 93(720) × 10-4 0.468 79(408) × 10-4 -0.509 00(385) × 10-4
HK 0.001 1741(101) 0.932 68(418) × 10-3 0.001 1095(41)
hJ c 0.1063(85) × 10-7 0.1127(66) × 10-7 0.9107(592) × 10-8
hJK 0.262(110) × 10-6 0.196(90) × 10-6 0.207(87) × 10-6
hK 0.6816(546) × 10-4 0.6137(539) × 10-4 0.6132(492) × 10-4
Std. dev. 0.056 0.028 0.035
No. lines fit 117 93 180
 Derived Parameters
(assuming planarity conditions)
A′ 106 536.234(6) 98 646.6909(27) 104 573.1673(24)
B′ 13 349.0901(10) 13 352.5730(5) 12 591.3846(4)
C′ 11 834.5235(9) 11 731.9241(5) 11 212.6524(4)
τ′bbcc -0.049 199(11) -0.047 7592(60) -0.044 4102(41)
τ′ccaa 0.122 657(81) 0.088 995(53) 0.125 122(40)
τ′aabb -0.015 41(19) -0.044 268(91) 0.000 815(69)
τaabb (1) 0.5585(1) 0.517 26(7) 0.515 46(5)
τaabb (2) 0.5378(2) 0.497 86(15) 0.497 13(16)
τaabb (3) 0.5378(2) 0.497 86(15) 0.497 13(16)
τabab (1) -0.286 94(10) -0.280 76(5) -0.257 32(4)
τabab (2) -0.268 31(21) -0.263 39(13) -0.240 74(14)
τabab (3) -0.266 23(23) -0.261 31(15) -0.238 94(15)
Δτ -0.4124(46) × 10-3 -0.4358(33) × 10-3 -0.3437(27) × 10-3

a The uncertainties quoted are one standard 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 18O16O18O, 16O18O18O, and 18O3
Watson's Determinable
Parameters		 18O16O18O Value a
[MHz]		 16O18O18O Value a
[MHz]		 18O3 Value a
[MHz]		 Ref.
A″ 102 579.249(4) 96 684.943 45(285) 94 689.3483(36) 78007
B″ 11 865.290 29(71) 12 593.158 86(54) 11 868.463 70(63)
C″ 10 612.004 96(64) 11 115.847 96(51) 10 522.877 86(64)
τ1 0.102 117(136) 0.023 2046(899) 0.046 0185(875)
τ2 -0.019 4586(167) -0.027 355 34(1171) -0.022 6809(113)
τ3 b 4.139(8) 3.6828(5) 3.5287(4)
τaaaa -23.345 56(98) -20.722 75(47) -19.868 88(72)
τbbbb -0.056 220 77(802) -0.063 286 26(558) -0.056 193 13(509)
τcccc -0.031 019 73(641) -0.032 863 21(514) -0.029 7610(57)
HJ 0.7463(1271) × 10-8 0.6106(846) × 10-8 0.5235(774) × 10-8
HJK -0.1758(482) × 10-6 -0.2335(808) × 10-6 -0.588(544) × 10-7
HKJ -0.457 81(417) × 10-4 -0.418 48(394) × 10-4 -0.390 20(370) × 10-4
HK 0.102 58(89) × 10-2 0.866 60(337) × 10-3 0.816 33(558) × 10-3
hJ c 0.7357(373) × 10-8 0.8671(613) × 10-8 0.9156(648) × 10-8
hJK  0.241(49) × 10-6 0.168(82) × 10-6 -0.433(740) × 10-7
hK 0.5262(346) × 10-4 0.5382(522) × 10-4 0.5495(366) × 10-4
Std. dev. 0.038 0.040 0.041
No. lines fit 97 180 103
Derived Parameters
(assuming planarity conditions)
A′ 102 579.229(40) 96 684.922(3) 94 689.329(4)
B′ 11 865.3536(7) 12 593.2054(5) 11 868.5117(6)
C′ 10 612.0127(6) 11 115.8345(5) 10 522.8723(6)
τ′bbcc -0.039 969(7) -0.043 111(5) -0.038 839(4)
τ′ccaa 0.126 66(7) 0.093 15(5) 0.096 01(6)
τ′aabb 0.015 43(12) -0.026 83(8) -0.011 15(7)
τaabb (1) 0.475 75(9) 0.476 72(6) 0.439 20(7)
τaabb (2) 0.459 39(17) 0.459 48(15) 0.424 37(21)
τaabb (3) 0.459 39(17) 0.459 48(15) 0.424 37(21)
τabab (1) -0.230 15(8) -0.251 77(5) -0.225 17(6)
τabab (2) -0.215 31(15) -0.236 29(13) -0.211 81(19)
τabab (3) -0.213 75(17) -0.234 49(14) -0.210 31(21)
Δτ -0.288(3) × 10-3 -0.365(3) × 10-3 -0.296(4) × 10-3

a The uncertainties quoted are one standard 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 16O3 in the υ1 = 1, υ2 = 1, and υ3 = 1 vibrational states.
Watson's
Determinable
Parameters		 Value for the
(1,0,0) State
[MHz]		 Value for the
(0,1,0) State
[MHz]		 Value for the
(0,0,1) State
[MHz]		 Value for the
(0,2,0) State
[MHz]
A″ 106 625.59(280) 108 137.69(29) 104 943.79(440) 109 795.91(300)
B″ 13 272.68(50) 13 311.1264(368) 13 229.59(70) 13 272.88(60)
C″ 11 764.82(30) a 11 765.1942(336) 11 726.05(50) a 11 694.26(60)
τ1   0.035 30(1702)    
τ2   -0.030 631(2017)    
τ3 b   4.48(6)    
τaaaa   -27.598(107)    
τbbbb   -0.071 546(680)    
τcccc   -0.038 352(530)    
Std. dev.   0.252    
No. Lines fit   17    
 Derived Parameters
 (assuming planarity conditions)
A′   108 137.66(29)    
B′   13 311.196(36)    
C′   11 765.166(34)    
τ′bbcc   -0.048 89(64)    
τ′ccaa   0.1399(47)    
τ′aabb   -0.0556(117)    
τaabb (1)   0.6190(76)    
τaabb (2)   0.5530(60)    
τaabb (3)   0.5530(60)    
τabab (1)   -0.3373(21)    
τabab (2)   -0.2777(39)    
τabab (3)   -0.2708(41)    
Δτ   -0.133(4) × 10-2    
Ref. 70048 78007 c 70048 70048

a This is the unperturbed rotational constant C.

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

c The uncertainties quoted are one standard 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.

 

 

Molecular Zeeman constants and electric dipole moment of 16O3
Parameters Value Ref.
Zeeman constants
gaa [µN] -2.968(35) 69027 a
gbb [µN] -0.228(7)
gcc [µN] -0.081(61)
2χaa - χbb - χcc [erg/G2 · mol] 98.0(56) x 10-6 69027
2χbb - χaa - χcc [erg/G2 · mol] -17.4(44) x 10-6
Electric dipole moment:
µb [C · m]
     µb [D]		 1.776(8) × 10-30 
     0.5324(24)		 71026

 
a The g-factors determined by Weiffenbach [58003] are: gaa = -2.9889(87) µN,   gbb = -0.2207(42) µN,   and   gcc = -0.0891(55) µN.

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