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4-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 4-Methylthiazole |
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Assuming Cs symmetry
for 4-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 either trans or cis with respect
to the nitrogen atom. These calculated nitrogen
nqcc's are compared in Tables 1 and 2 with the experimental nqcc's
of Jäger and Mäder [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 trans conformer are
given in Table 7. |
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As for the molecular energy, Etrans
< Ecis by 0.85 kcal/mol calculated at the B3PW91/6-31G(2d,2pd)
level of theory, 1.0 kcal/mol at B3PW91/ 6-311+G(df,pd), 0.88 kcal/mol
at B3LYP/6-311G(3df,3p), and 0.96 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 4-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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0.319 |
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0.3097(60) |
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Xbb |
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2.229 |
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2.2288(66) |
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Xcc |
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2.548 |
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2.5385(66) |
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|Xab| |
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2.713 |
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RMS |
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0.008 (0.45 %) |
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RSD |
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0.030 (1.3 %) |
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Xxx |
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1.603 |
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1.608 * |
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Xyy |
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2.548 |
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2.5385 |
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Xzz |
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4.151 |
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4.147 |
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ETA |
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0.228 |
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0.224 |
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Øz,a |
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54.70 |
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54.74 |
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Øa,bi |
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56.15 |
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56.15 |
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Øz,bi** |
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1.45 |
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1.41 |
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* Calculated here from the experimental diagonal nqcc's
and the calculated |Xab|. |
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** Angle between the z-axis and the bisector ( 'bi' ) of the
CNC angle. |
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Table 2. Nitrogen
nqcc's in 4-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 |
- |
0.347 |
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0.3097(60) |
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Xbb |
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2.230 |
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2.2288(66) |
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Xcc |
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2.577 |
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2.5385(66) |
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|Xab| |
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2.722 |
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RMS |
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0.031 (1.8 %) |
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RSD |
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0.030 (1.3 %) |
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Xxx |
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1.591 |
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1.617 * |
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Xyy |
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2.577 |
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2.5385 |
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Xzz |
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4.168 |
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4.155 |
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ETA |
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0.236 |
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0.222 |
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Øz,a |
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54.54 |
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54.71 |
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Øa,bi |
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56.28 |
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56.28 |
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Øz,bi** |
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1.74 |
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1.57 |
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* Calculated here from the experimental diagonal nqcc's
and the calculated |Xab|. |
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** Angle between the z-axis and the bisector ( 'bi' ) of the
CNC angle. |
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Table 3.
33S nqcc's in 4-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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1.99 |
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2.07 |
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Xbb |
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21.50 |
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21.64 |
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Xcc |
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19.51 |
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19.58 |
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|Xab| |
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11.69 |
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11.71 |
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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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6.82 |
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6.88 |
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Xyy |
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19.51 |
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19.58 |
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Xzz |
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26.33 |
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26.45 |
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ETA |
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0.482 |
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0.480 |
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Øx,a |
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22.44 |
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22.32 |
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Øa,bi |
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20.86 |
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20.86 |
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Øx,bi* |
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1.58 |
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1.46 |
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* Angle between the x-axis and the bisector
( 'bi' ) of the CSC angle. |
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Table 4.
33S nqcc's in 4-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 |
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2.35 |
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2.44 |
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Xbb |
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21.15 |
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21.27 |
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Xcc |
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18.80 |
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18.84 |
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|Xab| |
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11.87 |
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11.91 |
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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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7.31 |
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7.38 |
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Xyy |
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18.80 |
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18.84 |
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Xzz |
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26.10 |
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26.22 |
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ETA |
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0.440 |
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0.437 |
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Øx,a |
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22.64 |
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22.56 |
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Øa,bi |
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20.99 |
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20.99 |
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Øx,bi* |
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1.65 |
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1.57 |
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* Angle between the x-axis and the bisector
( 'bi' ) of the CSC angle. |
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Table 5. 14N nqcc's in 4-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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0.343 |
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0.371 |
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Xbb |
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2.205 |
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2.206 |
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Xcc |
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2.548 |
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2.577 |
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|Xab| |
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2.722 |
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2.730 |
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RSD |
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0.030 (1.3 %) |
0.030 (1.3 %) |
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Table 6. 4-Methylthiazole. Structure parameters,
ropt (Å and degrees). |
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trans |
cis |
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S(1)C(2) |
1.7316 |
1.7291 |
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C(2)N(3) |
1.2964 |
1.2981 |
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N(3)C(4) |
1.3765 |
1.3752 |
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C(4)C(5) |
1.3665 |
1.3684 |
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C(5)S(1) |
1.7195 |
1.7169 |
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C(2)H(2) |
1.0815 |
1.0813 |
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C(5)H(5) |
1.0783 |
1.0785 |
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C(4)C(6) |
1.4949 |
1.4995 |
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C(6)H(7) |
1.0896 |
1.0885 |
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C(6)H(8,9) |
1.0923 |
1.0922 |
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C(5)S(1)C(2) |
88.70 |
88.84 |
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S(1)C(2)N(3) |
115.22 |
115.08 |
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C(2)N(3)C(4) |
110.94 |
111.06 |
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N(3)C(4)C(5) |
114.77 |
114.61 |
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C(4)C(5)S(1) |
110.37 |
110.39 |
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S(1)C(2)H(2) |
120.49 |
120.64 |
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C(4)C(5)H(5) |
128.57 |
128.66 |
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N(3)C(4)C(6) |
119.18 |
119.35 |
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C(4)C(6)H(7) |
111.40 |
109.31 |
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C(4)C(6)H(8,9) |
110.49 |
111.54 |
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Table 7. 4-Methylthiazole. Atomic coordinates, ropt.
32S isotopomer, trans 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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1.5073 |
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0.3948 |
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0 |
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C(2) |
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0.7882 |
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1.1805 |
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0 |
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N(3) |
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0.5080 |
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1.1959 |
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0 |
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C(4) |
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1.0152 |
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0.0837 |
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0 |
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C(5) |
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0.0727 |
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1.0731 |
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0 |
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H(2) |
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1.4082 |
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2.0667 |
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0 |
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H(5) |
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0.2194 |
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2.1414 |
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0 |
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C(6) |
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2.4971 |
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0.2805 |
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0 |
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H(7) |
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2.7577 |
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1.3385 |
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0 |
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H(8,9) |
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2.9452 |
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0.1891 |
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0.8786 |
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[1] W.Jäger and H.Mäder, Z.Naturforsch.
42a,1405(1987). |
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Thiazole |
4-Fluorothiazole |
5-Fluorothiazole |
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2-Fluorothiazole |
2-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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4MeThiazole.html |
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Last
Modified 3 Oct 2004 |
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