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2-Methylthiazole
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PDF
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Nitrogen and Sulfur
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Nuclear
Quadrupole Coupling Constants |
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in 2-Methylthiazole |
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Assuming Cs symmetry
for 2-methylthiazole, one methyl CH bond lies in the plane of the
thiazole ring. Calculation of the nitrogen and sulfur nqcc's
was made here on B3PW91/6-31G(2d,2pd) optimized molecular structures
corresponding to each of two possible orientations of the methyl group,
the in-plane CH bond being cis or trans with respect
to the nitrogen atom. These calculated nitrogen nqcc's
are compared in Tables 1 and 2 with the experimental nqcc's of Grabow
et al. [1]. Calculated sulfur nqcc's are given in Tables 3 and 4. Calculated
nitrogen nqcc's in the 33S isotopomer are given
in Table 5. Structure parameters are compared in Table 6. Atomic
coordinates for the lower energy cis conformer are
given in Table 7. Rotational constants are compared in Table 8. |
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Molecular energy: Ecis
< Etrans by 0.22 kcal/mol calculated at the B3PW91/6-31G(2d,2pd)
level of theory, 0.12 kcal/mol at B3PW91/ 6-311+G(df,pd), 0.15
kcal/mol at B3LYP/6-311G(3df,3p), and 0.09 kcal/mol at B3LYP/TZV+(3df,3p). |
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In Tables 1 and 5, 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.
The nqcc y-axis is chosen coincident with the inertia c-axis, these
are perpendicular to the plane of the molecule. Ø (degrees)
is the angle between its subscripted parameters. ETA = (Xxx
- Xyy)/Xzz. RSD is the residual standard deviation
of calibration of the model for calculation of
the nqcc's. |
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Table 1. Nitrogen
nqcc's in 2-Methylthiazole-32S in the cis
conformer (MHz). Calculation was made
on the B3PW91/6-31G(2d,2pd) ropt structure. |
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Calc. |
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Expt. [1] |
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14N |
Xaa |
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0.449 |
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0.5239(15) * |
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Xbb |
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2.859 |
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2.9134 |
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Xcc |
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2.410 |
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2.3895 |
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|Xab| |
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2.338 |
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2.2791(137) |
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RMS |
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0.055 (2.8 %) |
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RSD |
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0.030 (1.3 %) |
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Xxx |
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1.659 |
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1.660(11) |
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Xyy |
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2.410 |
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2.390(2) |
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Xzz |
- |
4.069 |
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4.0049(11) |
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ETA |
- |
0.184 |
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Øz,a |
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27.37 |
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26.49(10) |
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Øa,bi |
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27.42 |
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Øz,bi** |
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0.05 |
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* Calculated here from X+
= - 0.5239(15) and X - = - 5.3030(25) MHz [1]. |
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** The z-axis makes
an angle of 0.05o with the bisector ( 'bi' ) of the
CNC angle. |
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Table 2. Nitrogen
nqcc's in 2-Methylthiazole-32S in the trans
conformer (MHz). Calculation was made
on the B3PW91/6-31G(2d,2pd) ropt structure. |
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Calc. |
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Expt. [1] |
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14N |
Xaa |
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0.517 |
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0.5239(15) |
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Xbb |
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2.852 |
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2.9134 |
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Xcc |
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2.334 |
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2.3895 |
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|Xab| |
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2.307 |
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2.2791(137) |
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RMS |
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0.049 (2.5 %) |
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RSD |
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0.030 (1.3 %) |
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Xxx |
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1.690 |
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1.660(11) |
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Xyy |
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2.334 |
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2.390(2) |
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Xzz |
- |
4.024 |
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4.0049(11) |
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ETA |
- |
0.160 |
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Øz,a |
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26.93 |
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26.49(10) |
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Øa,bi |
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27.33 |
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Øz,bi |
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0.40 |
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Table 3.
33S nqcc's in 2-Methylthiazole in
the cis conformer (MHz). Calculation was made
on the B3PW91/6-31G(2d,2pd) ropt structure. |
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Calc. [a] B3LYP/6-311G(3df,3p) Model. |
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Calc. [b] B3LYP/TZV+(3df,3p)
Model. |
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Calc. [a]
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Calc. [b] |
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Expt. |
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Xaa |
- |
26.57 |
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26.71 |
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Xbb |
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5.51 |
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5.59 |
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Xcc |
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21.06 |
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21.12 |
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|Xab| |
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2.84 |
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2.93 |
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RSD |
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0.39 (1.7 %) |
0.35 (1.5 %) |
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Xxx |
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5.76 |
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5.85 |
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Xyy |
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21.06 |
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21.12 |
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Xzz |
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26.82 |
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26.97 |
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ETA |
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0.570 |
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0.566 |
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Øx,a |
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84.98 |
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84.85 |
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Øa,bi |
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83.59 |
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83.59 |
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Øx,bi* |
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1.38 |
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1.26 |
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* The x-axis makes
an angle of 1.38o / 1.26o with the bisector
( 'bi' ) of the CSC angle. |
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Table 4.
33S nqcc's in 2-Methylthiazole in
the trans conformer (MHz). Calculation was made
on the B3PW91/6-31G(2d,2pd) ropt structure. |
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Calc. [a] B3LYP/6-311G(3df,3p) Model. |
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Calc. [b] B3LYP/TZV+(3df,3p)
Model. |
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Calc. [a]
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Calc. [b] |
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Expt. |
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Xaa |
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25.94 |
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26.08 |
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Xbb |
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5.94 |
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6.01 |
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Xcc |
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20.00 |
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20.07 |
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|Xab| |
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3.04 |
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3.15 |
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RSD |
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0.39 (1.7 %) |
0.35 (1.5 %) |
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Xxx |
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6.23 |
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6.32 |
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Xyy |
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20.00 |
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20.07 |
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Xzz |
- |
26.23 |
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26.39 |
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ETA |
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0.525 |
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0.521 |
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Øx,a |
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84.60 |
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84.45 |
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Øa,bi |
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83.41 |
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83.41 |
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Øx,bi* |
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1.19 |
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1.04 |
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* The x-axis makes
an angle of 1.19o / 1.04o with the bisector
( 'bi' ) of the CSC angle. |
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Table 5. 14N nqcc's in 2-Methylthiazole-33S in
the cis and trans conformer (MHz). Calculation was made
on the B3PW91/6-31G(2d,2pd) ropt structure. |
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Calc/cis
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Calc/trans |
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Expt. |
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Xaa |
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0.422 |
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0.492 |
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Xbb |
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2.832 |
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2.826 |
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Xcc |
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2.410 |
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2.334 |
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|Xab| |
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2.357 |
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2.326 |
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RSD |
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0.030 (1.3 %) |
0.030 (1.3 %) |
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Table 6. 2-Methylthiazole. Structure parameters,
ropt (Å and degrees). |
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cis |
trans |
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S(1)C(2) |
1.7480 |
1.7436 |
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C(2)N(3) |
1.3004 |
1.3011 |
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N(3)C(4) |
1.3704 |
1.3681 |
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C(4)C(5) |
1.3609 |
1.3626 |
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C(5)S(1) |
1.7212 |
1.7193 |
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C(4)H(4) |
1.0818 |
1.0819 |
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C(5)H(5) |
1.0782 |
1.0780 |
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C(2)C |
1.4926 |
1.4938 |
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CH(7) |
1.0888 |
1.0892 |
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CH(8,9) |
1.0922 |
1.0921 |
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C(5)S(1)C(2) |
89.48 |
89.54 |
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S(1)C(2)N(3) |
113.77 |
113.91 |
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C(2)N(3)C(4) |
111.27 |
111.11 |
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N(3)C(4)C(5) |
116.15 |
116.23 |
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C(4)C(5)S(1) |
109.33 |
119.20 |
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C(4)C(5)H(5) |
129.17 |
129.17 |
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N(3)C(4)H(4) |
119.09 |
119.10 |
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S(1)C(2)C |
121.87 |
121.70 |
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C(2)CH(7) |
108.50 |
111.74 |
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C(2)CH(8,9) |
111.54 |
110.13 |
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Table 7. 2-Methylthiazole. Atomic coordinates, ropt.
32S isotopomer, cis conformer. |
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a (Å) |
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b (Å) |
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b (Å) |
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S(1) |
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0.2842 |
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1.1631 |
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0 |
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C(2) |
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0.7923 |
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0.2140 |
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0 |
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N(3) |
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0.1776 |
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1.3599 |
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0 |
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C(4) |
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1.1829 |
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1.1942 |
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0 |
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C(5) |
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1.6306 |
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0.0909 |
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0 |
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H(4) |
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1.8193 |
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2.0690 |
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0 |
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H(5) |
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2.6440 |
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0.4591 |
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C |
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2.2764 |
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0.0542 |
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0 |
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H(7) |
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2.7304 |
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1.0439 |
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0 |
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H(8,9) |
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2.6210 |
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0.4908 |
± |
0.8816 |
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Table 8. 2-Methylthiazole. Rotational Constants, ropt (MHz).
32S species. |
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Calc/cis |
Calc/trans |
Expt. [1] |
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A |
5340.7 |
5348.0 |
5343.883(74) |
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B |
3265.9 |
3270.7 |
3265.914(54) |
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C |
2052.4 |
2055.4 |
2052.252(51) |
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1] J.-U.Grabow, H.Hartwig, N.Heineking, W.Jäger,
H.Mäder, H.W.Nicolaisen, and W.Stahl, J.Mol.Struct. 612,349(2002). |
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Thiazole |
4-Fluorothiazole |
5-Fluorothiazole |
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2-Fluorothiazole |
4-Methylthiazole |
5-Methylthiazole |
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1,2,4-Thiadiazole |
1,2,5-Thiadiazole |
1,3,4-Thiadiazole |
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Pyrazole |
Imidazole |
Oxazole |
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Table of Contents |
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Molecules/Nitrogen |
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Molecules/Sulfur |
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2MeThiazole.html |
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Last
Modified 2 Oct 2004 |
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