|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
SO2 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Sulfur
and Oxygen |
|
|
|
Nuclear
Quadrupole Coupling Constants |
|
|
|
in
Sulfur Dioxide |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
In
Tables 1-3, RMS is the root mean
square difference between calculated and experimental diagonal nqcc's
(percentage of the average of the magnitudes of the experimental
nqcc's).
RSD is the computational model residual standard deviation.
Subscripts a,b,c refer to the principal axes of the inertia tensor,
subscripts x,y,z to the principal axes of the nqcc tensor. In
Table 3, Ø
(degrees) is the angle between its subscripted parameters. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Table 1. 33S
nqcc's in SO2
(MHz). |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Calc. [a]
B3LYP/6-311G(3df,3p) |
|
|
|
|
Calc. [b]
B3LYP/TZV+(3df,3p) |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Calc. [a] |
|
Calc. [b] |
|
Expt. [1,2] |
|
|
|
|
|
|
|
|
|
|
|
|
|
Xaa(xx) |
- |
2.22 |
|
- 2.08 |
|
- 1.84643(141) |
|
|
|
Xbb(zz) |
|
26.47 |
|
26.08 |
|
25.70023(122) |
|
|
|
Xcc(yy) |
- |
24.25 |
- |
24.00 |
- |
23.85380(219) |
|
|
|
|
|
|
|
|
|
|
|
|
|
RMS |
|
0.55 (3.2 %) |
0.27 (1.6 %) |
|
|
|
|
RSD |
|
0.39 (1.7 %) |
0.39 (1.7 %) |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Table
2. 17O
nqcc's in 17OSO
(MHz). |
|
|
|
|
|
|
|
|
|
|
|
|
|
Calc. |
|
Expt. [1,2] |
|
|
|
|
|
|
|
|
|
|
|
B1B95/6-311++G(3df,3p)
Model |
|
|
|
|
|
|
|
|
|
|
17O |
Xaa |
- |
1.191 |
- |
1.1336(61) |
|
|
|
Xbb |
|
5.847 |
|
5.6224(51) |
|
|
|
Xcc |
- |
4.656 |
- |
4.4888(101) |
|
|
|
|Xab| |
|
2.845 |
|
|
|
|
|
|
|
|
|
|
|
|
|
RMS |
0.165 (4.4
%) |
|
|
|
RSD |
0.039 (1.4
%) |
|
|
|
|
|
|
|
|
|
|
|
B1LYP/6-311++G(3df,3p)
Model |
|
|
|
|
|
|
|
|
|
|
|
Xaa |
- |
1.185 |
- |
1.1336(61) |
|
|
|
Xbb |
|
5.877 |
|
5.6224(51) |
|
|
|
Xcc |
- |
4.691 |
- |
4.4888(101) |
|
|
|
|Xab| |
|
2.892 |
|
|
|
|
|
|
|
|
|
|
|
|
|
RMS |
|
0.190 (5.1
%) |
|
|
|
RSD |
|
0.041 (1.4
%) |
|
|
|
|
|
|
|
|
|
|
|
B3LYP/6-311++G(3df,3p)
Model |
|
|
|
|
|
|
|
|
|
|
|
Xaa |
- |
1.181 |
- |
1.1336(61) |
|
|
|
Xbb |
|
5.846 |
|
5.6224(51) |
|
|
|
Xcc |
- |
4.665 |
- |
4.4888(101) |
|
|
|
|Xab| |
|
2.860 |
|
|
|
|
|
|
|
|
|
|
|
|
|
RMS |
|
0.166 (4.4
%) |
|
|
|
RSD |
|
0.044 (1.5
%) |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Table
3. 17O
nqcc's in 17OSO
(MHz). PDF |
|
|
|
|
|
|
|
|
|
|
|
MP4(SDQ)/6-311++G(3df,3pd)
Model |
|
|
|
|
|
|
|
|
|
|
|
|
|
Calc. |
|
Expt. [1,2] |
|
|
|
|
|
|
|
|
|
|
17O |
Xaa |
- |
1.171 |
- |
1.1336(61) |
|
|
|
Xbb |
|
5.611 |
|
5.6224(51) |
|
|
|
Xcc |
- |
4.440 |
- |
4.4888(101) |
|
|
|
|Xab| |
|
2.775 |
|
|
|
|
|
|
|
|
|
|
|
|
|
RMS |
0.036 (0.97
%) |
|
|
|
RSD |
0.022 (0.77
%) |
|
|
|
|
|
|
|
|
|
|
|
Xxx |
- |
2.162 |
- |
2.127 * |
|
|
|
Xyy |
- |
4.440 |
- |
4.4888(101) |
|
|
|
Xzz |
|
6.602 |
|
6.616 |
|
|
|
ETA |
|
0.345 |
|
0.357 |
|
|
|
Øa,x |
|
19.65 |
|
19.70 |
|
|
|
Øa,OS |
|
29.73 |
|
29.73 |
|
|
|
Øx,OS |
|
10.08 |
|
10.03 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
*
Calculated here from the
experimental diagonal nqcc's and the calculated off-diagonal nqcc. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Molecular
Structure Parameters, re
[3,4] |
SO
= 1.43076 Å |
|
|
|
|
|
|
|
OSO
= 119.33o |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
[1]
H.S.P.Müller, J.Farhoomand,
E.A.Cohen, B.Brupbacher-Gatehouse, M.Schäfer, A.Bauder, and
G.Winnewisser, J.Mol.Spectrosc. 201,1(2000). |
|
|
[2]
E.A.Cohen, K.W.Hillig II, and
H.M.Pickett, J.Mol.Struct. 352/353,273 (1995). |
|
|
[3]
S.Saito, J.Mol.Spectrosc.
30,1(1969). |
|
|
[4]
J.-M.Flaud and W.J.Lafferty,
J.Mol.Spectrosc. 161,396(1993). |
|
|
|
|
|
|
|
|
|
|
|
|
T.Helgaker, J.Gauss, G.Cazzoli, and C.Puzzarini, J.Chem.Phys. 139,244308(2013). Xaa(33S) = -1.8471(15), Xbb = 25.6994(13), Xcc = -23.8523(13) MHz. |
|
|
W.J.Lafferty, J.-M.Flaud, El
H.A.Ngom, and R.L.Sams, J.Mol.Spectrosc. 253,51(2009). re
structure: SO = 1.4307932(40) Å, OSO = 119.32898(24)o. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
O3 |
|
SO |
|
SO3 |
|
O2 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Table of Contents |
|
|
|
|
|
Molecules/Sulfur |
|
|
|
|
|
Molecules/Oxygen |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
SO2.html |
|
|
|
|
|
|
Last
Modified 20 Nov 2008 |
|
|
|
|
|
|
|
|
|
|