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CH3SSCH3
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Sulfur
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Nuclear
Quadrupole Coupling Constants |
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in Dimethyl Disulfide |
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The complete nqcc tensor for 33S in CH333S32SCH3 was determined by Hartwig et al. [1]. A molecular ro
structure was derived by Sutter et al. [2]. Calculation of the
nqcc tensor was made here on this structure, and on this structure but
with the geometry of the methyl groups determined ab initio as described below.
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Calculated and experimental nqcc
tensors are compared in Tables 1 and 2. Structure parameters are
given in Table 3, atomic coordinates in Table 4. |
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In Tables 1 and 2, 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. Ø (degrees)
is the angle between its subscripted parameters. ETA = (Xxx
- Xyy)/Xzz. |
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RMS is the root mean square
difference between calculated and experimental nqcc's (percentage of
average experimental nqcc). RSD are the residual standard deviations
of calibration of the B3LYP/6-311G(3df,3p) and B3LYP/TZV+(3df,3p) models for calculation of
the nqcc's. |
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Table 1. 33S nqcc's in CH333S32SCH3 (MHz). Calculation was made with the B3LYP/6-311G(3df,3p) model on the ro and ro/ropt structures. |
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Calc. ro
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Calc. ro/ropt |
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Expt. [1] |
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Xaa |
- |
30.41 |
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29.94 |
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29.6475(42) |
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Xbb |
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13.26 |
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12.86 |
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12.807(31) |
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Xcc |
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17.15 |
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17.08 |
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16.840(26) |
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Xab* |
- |
21.52 |
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21.90 |
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20.2(13) |
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Xac* |
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15.63 |
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15.61 |
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18.3(12) |
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Xbc* |
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24.59 |
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24.73 |
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24.43(17) |
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RMS |
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0.54 (2.8 %) |
0.22 (1.1 %) |
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RSD |
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0.39 (1.7 %) |
0.39 (1.7 %) |
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Xxx |
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- 8.70 |
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- 8.97 |
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- 9.52(32) |
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Xyy |
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39.84 |
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39.69 |
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39.2(11) |
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Xzz |
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48.54 |
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48.66 |
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48.7(12) |
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ETA |
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0.641 |
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0.631 |
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Øz,n** |
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0.5 |
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0.3 |
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Øx,bi** |
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12.1 |
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11.4 |
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Here and in Table 2 below,
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* the algebraic signs of the off-diagonal nqcc's correspond to the atomic
coordinate given in Table 4. The experimental off-diagonal
components are absolute values.
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** the z-principal axis makes an angle of Øz,n with the normal (n) to the C(2)33S(1)S(2) plane, the x-axis makes an angle of Øx,bi with the bisector (bi) of the C(2)33S(1)S(2) angle. |
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Table 2. 33S nqcc's in CH333S32SCH3 (MHz). Calculation was made with the B3LYP/TZV+(3df,3p) model on the ro and ro/ropt structures. |
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Calc. ro
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Calc. ro/ropt |
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Expt. [1] |
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Xaa |
- |
30.46 |
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29.98 |
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29.6475(42) |
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Xbb |
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13.36 |
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12.96 |
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12.807(31) |
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Xcc |
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17.10 |
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17.03 |
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16.840(26) |
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Xab* |
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21.50 |
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21.88 |
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20.2(13) |
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Xac* |
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15.78 |
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15.76 |
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18.3(12) |
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Xbc* |
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24.60 |
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24.74 |
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24.43(17) |
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RMS |
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0.58 (3.0 %) |
0.24 (1.2 %) |
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RSD |
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0.35 (1.5 %) |
0.35 (1.5 %) |
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Xxx |
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- 8.74 |
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- 9.01 |
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- 9.52(32) |
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Xyy |
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39.89 |
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39.74 |
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39.2(11) |
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Xzz |
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48.62 |
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48.74 |
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48.7(12) |
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ETA |
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0.641 |
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0.630 |
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Øz,n** |
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0.4 |
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0.3 |
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Øx,bi** |
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12.4 |
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11.7 |
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For the ro structure, all CH bond lengths and SCH angles are assumed equal. For the ro/ropt structure,
methyl geometries are given by MP2/6-31G(d,p) optimization, with CH
bond lengths corrected using r(CH) = 1.001*ropt(CH) [3]. |
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Table 3. Molecular structure parameters, ro and ro/ropt (Å and degrees). Complete structures are given here in Z-matrix format. |
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ro |
ro/ropt |
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SS |
2.038 |
2.038 |
SC |
1.810 |
1.810 |
SSC |
102.8 |
102.8 |
CSSC |
84.7 |
84.7 |
CH(4,8) |
1.097 |
1.090 |
CH(5,9) |
1.097 |
1.088 |
CH(6,10) |
1.097 |
1.087 |
SCH(4,8) |
108.9 |
106.6 |
SCH(5,9) |
108.9 |
111.5 |
SCH(6.10) |
108.9 |
110.8 |
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Table 4. CH333S32SCH3 Atomic coordinates, ro/ropt. |
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a (Å) |
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b (Å) |
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c (Å) |
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33S |
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0.9099 |
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0.4308 |
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0.4326 |
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32S |
- |
0.9264 |
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0.4272 |
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0.4514 |
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C |
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1.7826 |
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0.8863 |
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0.4503 |
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H |
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2.7961 |
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0.9120 |
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0.0497 |
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H |
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1.3157 |
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1.8547 |
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0.2833 |
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H |
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1.8239 |
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0.6754 |
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1.5158 |
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C |
- |
1.8078 |
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0.8643 |
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0.4602 |
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H |
- |
2.8214 |
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0.8921 |
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0.0603 |
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H |
- |
1.3473 |
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1.8392 |
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0.3146 |
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H |
- |
1.8475 |
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0.6298 |
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1.5209 |
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1,2-Dithiin |
Disulfane |
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[1] H.Hartwig, U.Kretschmer, and H.Dreizler,
Z.Naturforsch. 50a,131(1995).
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[2] D.Sutter, H.Dreizler,
and H.D.Rudolph, Z.Naturforsch. 20a,1676(1965). |
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[3] J.Demaison and G.Wlodarczak, Struct.Chem. 5,57(1994). |
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Table of Contents |
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Molecules/Sulfur |
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CH3SSCH3.html |
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Last
Modified 18 April 2006 |
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