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      3-Cl-C4H3S 
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      Chlorine and Sulfur 
       | 
      
      
       
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       | 
      Nuclear
Quadrupole Coupling Constants | 
       
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       | 
      in 3-Chlorothiophene | 
       
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      Calculation of the
chlorine
nqcc's in 3-chlorothiophene was
made on molecular structures obtained by B3PW91/6-31G(2d,2pd) and
B3P86/6-31G(3d,3p) optimization.  Comparison of the calculated and
experimental nqcc's [1] in Tables 1 and 2 suggests an error in the
assignment of experimental coupling constants with respect to intertial
axes.  This conclusion is strongly supported by an investigation
of the microwave spectrum of the title molecule by Caminati et al. [2],
wherein Xaa and Xbb respectively are reported as -73.2(5) and 38.2(3) MHz. 
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        | 
       
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      Calculated 33S nqcc's are given in Table 3.  Structure
parameters are given in Table 4, atomic coordinates in Table 5, and
rotational constants in Table 6. | 
       
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        | 
       
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      In Tables 1 - 3, 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. | 
       
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 | 
      RMS is the root mean square
difference between calculated and experimental nqcc's (percent of
average absolute experimental nqcc).  RSD is the residual standard deviation
of calibration of the model for calculation of
the nqcc's. | 
       
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            |   | 
              
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            Table 
1.   35Cl     nqcc's in 3-Chlorothiophene-32S
    (MHz).  RMS* is the root mean square difference between calculated and 
 experimental    nqcc's assuming the experimental Xbb and Xcc 
 to be   reversed (see Caminati et al. [2]). 
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            Calculation was made on | 
             
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            the [a] B3PW91/6-31G(2d,2pd) ropt structure, and | 
             
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            the [b] B3P86/6-31G(3d,3p)  ropt structure. | 
             
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            |   | 
              
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            Calc. [a] 
             | 
             
             | 
            Calc. [b] | 
             
             | 
            Expt. [1] | 
             
             | 
           
          
            |   | 
              
             | 
             
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            Xaa | 
            - | 
            73.26 | 
            - | 
            72.78 | 
            - | 
            72.62(16) | 
             
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            Xbb | 
             
 | 
            38.24 | 
             
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            38.08 | 
             
 | 
            34.59(90) | 
             
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            Xcc | 
             
 | 
            35.02 | 
             
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            34.70 | 
             
 | 
            38.03(91) | 
             
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            |Xab| | 
             
 | 
              9.58 | 
             
 | 
              9.63 | 
             
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              | 
             
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            RMS | 
             
 | 
            2.76 (5.7 %) | 
            
            2.79 (5.8 %) | 
            
             
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            RMS* | 
             
 | 
            0.46 (0.96 %) | 
            0.12 (0.25 %) | 
             
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            RSD | 
             
 | 
            0.49 (1.1 %) | 
            
            0.49 (1.1 %) | 
            
             
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              | 
             
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            Xxx | 
             
 | 
            39.06 | 
             
 | 
            38.92 | 
             
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            Xyy | 
             
 | 
            35.02 | 
             
 | 
            34.70 | 
             
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            Xzz | 
            - | 
            74.08 | 
            - | 
            73.62 | 
             
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            ETA | 
            - | 
            0.054 | 
            - | 
            0.057 | 
             
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            Øz,a | 
             
 | 
            4.87 | 
             
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            4.93 | 
             
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            Øa,CCl | 
             
 | 
            5.16 | 
             
 | 
            5.22 | 
             
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            Øz,CCl | 
             
 | 
            0.28 | 
             
 | 
            0.30 | 
             
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              | 
             
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        | 
       
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        | 
       
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      Because B3PW91/6-31G(2d,2pd)
optimization gives structures on which good agreement is obtained
between calculated and experimental 33S
nqcc's in thiophene and thiazole, and because  B3P86/6-31G(3d,3p)
works for chlorine substituted benzenes and pyridines, as well as
2-chlorothiophene, calculation was made on a structure consisting of
the B3PW91/6-31G(2d,2pd) ring with the B3P86/6-31G(3d,3p) CCl bond
length.  The results are given below in Table 2 for both 35Cl and 37Cl, and in Table 3 for 33S.
      | 
       
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            |   | 
              
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            Table 2.  Chlorine     nqcc's in 3-Chlorothiophene-32S
(MHz).  Calculation was made on the B3PW91/6-31G(2d,2pd) ring
structure with the B3P86/6-31G(3d,3p) optimized CCl bond length.
 RMS* is the root mean square difference between calculated and
experimental nqcc's assuming the experimental Xbb and Xcc 
 to be   reversed  (see Caminati et al. [2]). | 
             
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            |   | 
              
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            Calc. | 
             
             | 
            Expt. [1] | 
             
             | 
           
          
            |   | 
              
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            35Cl | 
            Xaa | 
            - | 
            72.74 | 
            - | 
            72.62(16) | 
             
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            Xbb | 
             
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            38.07 | 
             
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            34.59(90) | 
             
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            Xcc | 
             
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            34.67 | 
             
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            38.03(91) | 
             
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            |Xab| | 
             
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              9.56 | 
             
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              | 
             
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            RMS | 
             
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            2.79 (5.8 %) | 
            
             
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            RMS* | 
             
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            0.05 (0.11 %) | 
             
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            RSD | 
             
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            0.49 (1.1 %) | 
            
             
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              | 
             
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            Xxx | 
             
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            38.89 | 
             
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            Xyy | 
             
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            34.67 | 
             
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            Xzz | 
            - | 
            73.56 | 
             
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            ETA | 
            - | 
            0.057 | 
             
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            Øz,a | 
             
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            4.90 | 
             
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            Øa,CCl | 
             
 | 
            5.18 | 
             
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            Øz,CCl | 
             
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            0.28 | 
             
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              | 
              | 
             
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            37Cl | 
            Xaa | 
            - | 
            57.36 | 
            - | 
            57.57(16) | 
             
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            Xbb | 
             
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            30.03 | 
             
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            27.46(75) | 
             
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            Xcc | 
             
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            27.32 | 
             
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            30.11(76) | 
             
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            |Xab| | 
             
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              7.37 | 
             
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              | 
             
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            RMS | 
             
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            2.79 (5.7 %) | 
             
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            RMS* | 
             
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            0.15 (0.40 %) | 
             
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            RSD | 
             
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            0.44 (1.1 %) | 
             
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              | 
             
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        | 
       
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        | 
       
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            |   | 
              
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            Table 3. 
            33S nqcc's in 3-Chlorothiophene-35Cl
      (MHz).  Calculation was 
 made    on the B3PW91/6-31G(2d,2pd) ring structure with the B3P86/6-31G(3d,3p) optimized CCl bond length. | 
             
             | 
           
          
             
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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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            |   | 
              
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            Calc. [a] 
             | 
             
             | 
            Calc. [b] | 
             
             | 
            Expt. | 
             
             | 
           
          
            |   | 
              
             | 
             
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            Xaa | 
             
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            - 1.93 | 
             
 | 
            - 1.90 | 
             
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            Xbb | 
            - | 
            20.30 | 
            - | 
            20.37 | 
             
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 | 
            Xcc | 
             
 | 
            22.23 | 
             
 | 
            22.27 | 
             
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 | 
            |Xab| | 
             
 | 
            14.67 | 
             
 | 
            14.73 | 
             
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              | 
             
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            RSD | 
             
 | 
            0.39 (1.7 %) | 
            
            0.35 (1.5 %) | 
            
             
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              | 
             
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            Xxx | 
             
 | 
              6.20 | 
             
 | 
              6.25 | 
             
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            Xyy | 
             
 | 
            22.23 | 
             
 | 
            22.27 | 
             
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            Xzz | 
            - | 
            28.42 | 
             
 | 
            28.52 | 
             
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 | 
            ETA | 
             
 | 
            0.564 | 
             
 | 
            0.561 | 
             
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            Øx,a | 
             
 | 
            28.98 | 
             
 | 
            28.96 | 
             
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            Øa,bi | 
             
 | 
            27.79 | 
             
 | 
            27.79 | 
             
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            Øx,bi* | 
             
 | 
              1.19 | 
             
 | 
              1.17 | 
             
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        | 
       
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 | 
      * Angle between the x-axis and the bisector ( 'bi' 
)  of   the   CSC angle. | 
       
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        | 
       
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            |   | 
             
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            | Table 4.   3-Chlorothiophene and Thiophene.  Structure    parameters 
     (Å and degrees). | 
           
          
          
            |   | 
             
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 | 
           
          
            
             
 | 
             
 | 
            B3P86 | 
            B3PW91 | 
            B3PW91 | 
           
          
            
             
 | 
             
 | 
            X = Cl | 
            X = Cl | 
            X = H | 
           
          
            
             
 | 
             
 | 
             
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 | 
           
          
            
             
 | 
            S(1)C(2) | 
            1.7090 | 
            1.7181 | 
            1.7197 | 
           
          
            
             
 | 
            C(2)C(3) | 
            1.3663 | 
            1.3648 | 
            1.3660 | 
           
          
            
             
 | 
            C(3)C(4) | 
            1.4203 | 
            1.4222 | 
            1.4229 | 
           
          
            
             
 | 
            C(4)C(5) | 
            1.3646 | 
            1.3637 | 
            1.3660 | 
           
          
            
             
 | 
            C(5)S(1) | 
            1.7116 | 
            1.7199 | 
            1.7197 | 
           
          
            
             
 | 
            C(2)H(2) | 
            1.0786 | 
            1.0773 | 
            1.0787 | 
           
          
            
             
 | 
            C(3)X(3) | 
            1.7240 | 
            1.7331 | 
            1.0816 | 
           
          
            
             
 | 
            C(4)H(4) | 
            1.0815 | 
            1.0800 | 
            1.0816 | 
           
          
             
 | 
            C(5)H(5) | 
            1.0799 | 
            1.0786 | 
            1.0787 | 
           
          
            
             
 | 
            C(5)S(1)C(2) | 
              92.40 | 
              92.25 | 
              91.95 | 
           
          
            
             
 | 
            S(1)C(2)C(3) | 
            110.54 | 
            110.37 | 
            111.42 | 
           
          
            
             
 | 
            C(2)C(3)C(4) | 
            113.77 | 
            114.05 | 
            112.60 | 
           
          
            
             
 | 
            C(3)C(4)C(5) | 
            111.40 | 
            111.50 | 
            112.60 | 
           
          
            
             
 | 
            C(4)C(5)S(1) | 
            111.90 | 
            111.83 | 
            111.42 | 
           
          
            
             
 | 
            S(1)C(2)H(2) | 
            121.39 | 
            121.20 | 
            119.93 | 
           
          
             
 | 
            S(1)C(5)H(5) | 
            119.98 | 
            119.85 | 
            119.93 | 
           
          
            
             
 | 
            C(3)C(4)H(4) | 
            123.88 | 
            123.69 | 
            124.04 | 
           
          
            
             
 | 
            C(4)C(3)X(3) | 
            122.76 | 
            122.62 | 
            124.04 | 
           
          
          
          
          
          
          
          
        
        
        
        
        
        
        
        
        
        
        
        
        
        
        
        
        
        
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
       
       | 
       
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        | 
       
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        | 
       
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            | Table 5.   3-Chlorothiophene, normal species.      Atomic
 coordinates.  B3PW91/6-31G(2d,2pd) ring structure with the B3P86/6-31G(3d,3p) optimized CCl bond length.  | 
           
          
             
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 | 
              a (Å) | 
             
 | 
              b (Å) | 
           
          
             
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 | 
             
 | 
           
          
             
 | 
            S(1) | 
            - | 
            1.9310 | 
            - | 
            0.4933 | 
           
          
             
 | 
            C(2) | 
            - | 
            0.2982 | 
            - | 
            1.0281 | 
           
          
             
 | 
            C(3) | 
             
 | 
            0.5516 | 
             
 | 
            0.0399 | 
           
          
             
 | 
            C(4) | 
            - | 
            0.1038 | 
             
 | 
            1.3021 | 
           
          
             
 | 
            C(5) | 
            - | 
            1.4602 | 
             
 | 
            1.1609 | 
           
          
             
 | 
            H(2) | 
            - | 
            0.0546 | 
            - | 
            2.0774 | 
           
          
             
 | 
            Cl(3) | 
             
 | 
            2.2685 | 
            - | 
            0.1157 | 
           
          
             
 | 
            H(4) | 
             
 | 
            0.4177 | 
             
 | 
            2.2478 | 
           
          
             
 | 
            H(5) | 
            - | 
            2.2130 | 
             
 | 
            1.9334 | 
           
        
        
        
        
        
        
        
      
      
      
      
      
      
       
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            | Table 6.  3-Chlorothiophene, normal species.      Rotational Constants (MHz). | 
           
          
            |   | 
              | 
             
 | 
             
 | 
             
 | 
           
          
             
 | 
            [a] B3PW91/6-31G(2d,2pd)
      opt structure. | 
           
          
             
 | 
            [b] B3P86/6-31G(3d,3p)
     opt structure. | 
           
          
             
 | 
            [c] B3PW91/6-31G(2d,2pd)
      ring structure with the B3P86/6-31G(3d,3p) optimized CCl bond length. | 
           
          
            |   | 
             
 | 
             
 | 
             
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 | 
           
          
             
 | 
            Calc [a] | 
            Calc [b] | 
            Calc [c] | 
            Expt. [1] | 
           
          
             
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 | 
             
 | 
             
 | 
             
 | 
           
          
            | A | 
            7149.7 | 
            7184.0 | 
            7150.4 | 
            7144.19(41) | 
           
          
            | B | 
            1503.4 | 
            1512.0 | 
            1509.9 | 
            1508.3654(31) | 
           
          
            | C | 
            1242.2 | 
            1249.1 | 
            1246.6 | 
            1245.0304(31) | 
           
        
        
        
        
        
        
        
      
      
      
      
      
      
       
       
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         | 
       
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        | 
       
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 | 
      [1] Y.Niide and I.Ohkoshi, J.Mol.
   Spectrosc.  130,46(1988). | 
       
 | 
    
    
       
 | 
      [2] W.Caminati, B.Velino,
F.Caccinelli, R.S.Cataliotti, S.M.Murgia, G.Paliani, and S.Santucci,
J.Mol.Struct. 174,285(1988): X aa and Xbb respectively are reported as -73.2(5) and 38.2(3) MHz. | 
      
      
      
      
      
      
      
       
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 | 
      Thiophene | 
      Thiazole | 
      2-Bromothiophene | 
    
    
       
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      2-Chlorothiophene | 
      3-Bromothiophene | 
       
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       | 
      Table of Contents | 
       
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      Molecules/Chlorine | 
       
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      Molecules/Sulfur | 
       
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      3ClThioph.html | 
    
    
       
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      Last
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