Isothiazole



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Nitrogen and Sulfur


Nuclear Quadrupole Coupling Constants


in Isothiazole


 








 


















Calculation of the 14N and 33S nqcc's in isothiazole was made on a structure obtained by mPW1PW91/aug-cc-pVTZ (G03) optimization.  These are compared with the experimental nqcc's of Gripp et al. [1] in Tables 1 - 4.  Structure parameters are given in Table 5, atomic coordinates in Table 6.

 








In Tables 1 and 4, 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.

 








RMS is the root mean square difference between calculated and experimental nqcc's (percentage of average experimental nqcc).  RSD is the residual stand deviation of calibration of the model for calculation of the nqcc's.

 








 








   







Table 1. Nitrogen nqcc's in Isothiazole-33S (MHz).  Calculation was made on the mPW1PW91/aug-cc-pVTZ ropt structure.
   










Calc.
Expt. [1]
   







14N Xaa
1.103
1.0732(19)


Xbb - 2.397 - 2.4753(46)


Xcc
1.294
1.4021


|Xab|
2.919



 







RMS
0.079 (4.8 %)




RSD
0.030 (1.3 %)



 







Xxx
2.756




Xyy
1.294




Xzz - 4.050




ETA - 0.361




Øz,a
60.47




Øa,bi
75.84




Øz,bi*
15.37



 






   








* Angle between the z-axis and the bisector ('bi') of the CNC angle.

 








 








   







Table 2. Nitrogen nqcc's in Isothiazole-32S (MHz).  Calculation was made on the mPW1PW91/aug-cc-pVTZ ropt structure.
   










Calc.
Expt. [1]
   







14N Xaa
1.095
1.0668(47)


Xbb - 2.388 - 2.465


Xcc
1.294
1.398


|Xab|
2.924



 







RMS
0.075 (4.6 %)




RSD
0.030 (1.3 %)



 







 








 








   







Table 3. Nitrogen nqcc's in Isothiazole-34S (MHz).  Calculation was made on the mPW1PW91/aug-cc-pVTZ ropt structure.
   










Calc.
Expt. [1]
   







14N Xaa
1.111
1.0807(15)


Xbb - 2.404 - 2.478


Xcc
1.294
1.397


|Xab|
2.914



 







RMS
0.075 (4.6 %)




RSD
0.030 (1.3 %)



 







 








 








   








Table 4.  33S nqcc's in Isothiazole (MHz).  Calculation was made on the mPW1PW91/aug-cc-pVTZ ropt structure.











Calc. [a] B3LYP/6-311G(3df,3p) Model.


Calc. [b] B3LYP/TZV+(3df,3p) Model.
   










Calc. [a]

Calc. [b]
Expt. [1]
   








Xaa
  8.75
  8.78
  8.7015(57)

Xbb - 33.03 - 33.16 - 32.9696(60)

Xcc
24.28
24.38
24.2681

|Xab|
  5.45
  5.66



 







RMS
0.05 (0.2 %) 0.13 (0.6 %)


RSD
0.39 (1.7 %) 0.35 (1.5 %)


 







Xxx
  9.45
  9.53
  9.43 *

Xyy
24.28
24.38
24.2681

Xzz - 33.73 - 33.91 - 33.70

ETA
0.440
0.438
0.440

Øx,a
7.31
7.54
7.46

Øa,bi
2.03
2.03
2.03

Øx,bi**
9.34
9.57
9.49

 








 








* Calculated here from the experimental diagonal nqcc's and 5.55 MHz for |Xab|.

** Angle between the x-axis and the bisector ( 'bi' ) of the CSN angle.

 








 


Table 5. Molecular structure parameters, mPW1PW91/aug-cc-pVTZ ropt (Å and degrees).
 




SN 1.6481


NC(3) 1.3116


C(3)C(4) 1.4137


C(4)C(5) 1.3643


C(5)S 1.6998


C(3)H(3) 1.0823


C(4)H(4) 1.0787


C(5)H(5) 1.0777


C(5)SN   95.42


SNC(3) 108.84


NC(3)C(4) 116.82


C(3)C(4)C(5) 110.10


C(4)C(5)S 108.83


NC(3)H(3) 118.40


C(3)C(4)H(4) 124.94


C(4)C(5)H(5) 128.62


 








 




Table 6. Atomic coordinates, mPW1PW91/aug-cc-pVTZ ropt, normal species.
(More figures are shown than are significant.)
 







   a (Å)
   b (Å)







S
1.095257
0.035142

N
0.031981 - 1.224068

C - 1.189694 - 0.746784

C - 1.324738
0.660423

C - 0.094118
1.249450

H - 2.015659 - 1.446129

H - 2.264028
1.190886

H
0.149158
2.299343


 








 








[1] J.Gripp, U.Kretschmer, and H.Dreizler, Z.Naturforsch. 49a,1059(1994).

 








J.Wiese and D.H.Sutter, Z.Naturforsch. 35a,712(1980): Xaa = 1.037(23), Xbb = -2.404(27), Xcc = 1.367(27) MHz.

 









 








1,2,4-Thiadiazole 1,2,5-Thiadiazole 1,3,4-Thiadiazole

Thiazole Oxazole Isoxazole

 Thiophene




 








 








Table of Contents




Molecules/Nitrogen




Molecules/Sulfur




 








 













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Last Modified 10 Feb 2005