| 
        | 
       
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       | 
       
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       | 
      3-Br-C4H3S 
       | 
       | 
      
      
       
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        | 
       
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        | 
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       | 
    
    
    
       
       | 
      Bromine and Sulfur 
       | 
      
      
       
       | 
    
    
       
       | 
      Nuclear
Quadrupole Coupling Constants | 
       
       | 
    
    
       
       | 
       
       | 
      in 3-Bromothiophene | 
       
       | 
       
       | 
    
    
       
       | 
        | 
       
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        | 
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       | 
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       | 
       | 
       | 
    
    
       | 
      Calculation of the bromine
nqcc's in 3-bromothiophene was
made on molecular structures obtained by B3PW91/6-31G(2d,2pd) and
B3P86/6-31G(3d,3p) optimization.  These are compared with the
experimental nqcc's [1] in Tables 1 and 2.  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. | 
       | 
    
    
       | 
        | 
       | 
       | 
       | 
       | 
       | 
       | 
       | 
       | 
    
    
    
    
       | 
      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. | 
       | 
    
    
    
    
       | 
      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.   79Br     nqcc's in 3-Bromothiophene-32S
    (MHz). | 
             
             | 
           
          
             | 
              | 
             | 
             | 
             | 
             | 
             | 
             | 
             | 
           
          
             | 
            Calculation was made on | 
             | 
           
          
             | 
             | 
            the [a] B3PW91/6-31G(2d,2pd) ropt structure, and | 
             | 
           
          
             | 
             | 
            the [b] B3P86/6-31G(3d,3p)  ropt structure. | 
             | 
           
          
            |   | 
              
             | 
             | 
             
             | 
             
             | 
             
             | 
             
             | 
             
             | 
             
             | 
           
          
             
             | 
             
             | 
             | 
            Calc. [a] 
             | 
             
             | 
            Calc. [b] | 
             
             | 
            Expt. [1] | 
             
             | 
           
          
            |   | 
              
             | 
             | 
             
             | 
             
             | 
             
             | 
             
             | 
             
             | 
             
             | 
           
          
          
          
             | 
            Xaa | 
             | 
            573.18 | 
             | 
            571.85 | 
             | 
            571.60(1) | 
             | 
           
          
             | 
            Xbb | 
            - | 
            293.74 | 
            - | 
            293.39 | 
            - | 
            292.98 | 
             | 
           
          
             | 
            Xcc | 
            - | 
            279.44 | 
            - | 
            278.46 | 
            - | 
            278.62(2) | 
             | 
           
          
             | 
            |Xab| | 
             | 
              54.12 | 
             | 
              53.54 | 
             | 
              54.1(6) | 
             | 
           
          
          
          
             | 
              | 
             | 
             | 
             | 
             | 
             | 
             | 
             | 
           
          
          
          
          
          
          
             | 
            RMS | 
             | 
            1.12 (0.29 %) | 
            
            0.29 (0.07 %) | 
            
             | 
             | 
           
          
          
             | 
            RSD | 
             | 
            1.58 (0.39 %) | 
            
            1.58 (0.39 %) | 
            
             | 
             | 
           
          
             | 
              | 
             | 
             | 
             | 
             | 
             | 
             | 
             | 
           
          
             | 
            Xxx | 
            - | 
            297.11 | 
            - | 
            296.69 | 
            - | 
            296.36(10) | 
             | 
           
          
             | 
            Xyy | 
            - | 
            279.44 | 
            - | 
            278.46 | 
            - | 
            278.62(2) | 
             | 
           
          
             | 
            Xzz | 
             | 
            576.55 | 
             | 
            575.15 | 
             | 
            574.97(9) | 
             | 
           
          
             | 
            ETA | 
            - | 
            0.0306 | 
            - | 
            0.0317 | 
             | 
             | 
             | 
           
          
             | 
            Øz,a | 
             | 
            3.56 | 
             | 
            3.53 | 
             | 
            3.57(4) | 
             | 
           
          
             | 
            Øa,CBr | 
             | 
            3.84 | 
             | 
            3.84 | 
             | 
             | 
             | 
           
          
             | 
            Øz,CBr | 
             | 
            0.28 | 
             | 
            0.31 | 
             | 
             | 
             | 
           
          
          
          
          
          
          
             | 
              | 
             | 
             | 
             | 
             | 
             | 
             | 
             | 
           
        
        
        
        
        
        
        
        
        
        
        
        
        
        
        
        
        
        
        
        
        
        
        
        
        
        
        
        
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
       
       | 
       | 
    
    
       | 
        | 
       | 
       | 
       | 
       | 
       | 
       | 
       | 
       | 
    
    
       | 
        | 
       | 
       | 
       | 
       | 
       | 
       | 
       | 
       | 
    
    
       | 
      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 bromine in bromine substituted benzene, furane, and pyridine; calculation was made on a structure consisting of
the B3PW91/6-31G(2d,2pd) ring with the B3P86/6-31G(3d,3p) CBr bond
length.  The results are given below in Table 2 for both 79Br and 81Br, and in Table 3 for 33S.
      | 
       | 
    
    
       | 
        | 
       | 
       | 
       | 
       | 
       | 
       | 
       | 
       | 
    
    
       | 
        | 
       | 
       | 
       | 
       | 
       | 
       | 
       | 
       | 
    
    
       | 
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
        
          
            |   | 
              
             | 
             
             | 
             
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             | 
           
          
             
             | 
            Table 2.  Bromine     nqcc's in 3-Bromothiophene-32S
    (MHz).  Calculation was 
 made    on the B3PW91/6-31G(2d,2pd) ring structure with the B3P86/6-31G(3d,3p) optimized CBr bond length. | 
             
             | 
           
          
            |   | 
              
             | 
             
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             | 
             
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             | 
             
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             | 
             
             | 
            Calc. | 
             
             | 
            Expt. [1] | 
             
             | 
           
          
            |   | 
              
             | 
             
             | 
             
             | 
             
             | 
             
             | 
             
             | 
             
             | 
           
          
          
          
             | 
            79Br | 
            Xaa | 
             | 
            571.21 | 
             | 
            571.60(1) | 
             | 
           
          
             | 
             | 
            Xbb | 
            - | 
            293.02 | 
            - | 
            292.98 | 
             | 
           
          
             | 
             | 
            Xcc | 
            - | 
            278.20 | 
            - | 
            278.62(2) | 
             | 
           
          
             | 
             | 
            |Xab| | 
             | 
              54.04 | 
             | 
              54.1(6) | 
             | 
           
          
          
          
             | 
              | 
             | 
             | 
             | 
             | 
             | 
             | 
           
          
          
          
          
          
          
             | 
             | 
            RMS | 
             | 
            0.33 (0.09 %) | 
            
             | 
             | 
           
          
          
             | 
             | 
            RSD | 
             | 
            1.58 (0.39 %) | 
            
             | 
             | 
           
          
             | 
              | 
             | 
             | 
             | 
             | 
             | 
             | 
           
          
             | 
             | 
            Xxx | 
            - | 
            296.38 | 
            - | 
            296.36(10) | 
             | 
           
          
             | 
             | 
            Xyy | 
            - | 
            278.20 | 
            - | 
            278.62(2) | 
             | 
           
          
             | 
             | 
            Xzz | 
             | 
            574.58 | 
             | 
            574.97(9) | 
             | 
           
          
             | 
             | 
            ETA | 
            - | 
            0.0316 | 
             | 
             | 
             | 
           
          
             | 
             | 
            Øz,a | 
             | 
            3.56 | 
             | 
            3.57(4) | 
             | 
           
          
             | 
             | 
            Øa,CBr | 
             | 
            3.85 | 
             | 
             | 
             | 
           
          
             | 
             | 
            Øz,CBr | 
             | 
            0.28 | 
             | 
             | 
             | 
           
          
          
          
          
          
          
             | 
              | 
              | 
             | 
             | 
             | 
             | 
             | 
           
          
             | 
            81Br | 
            Xaa | 
             | 
            477.26 | 
             | 
            477.57(1) | 
             | 
           
          
             | 
             | 
            Xbb | 
            - | 
            244.84 | 
            - | 
            244.81 | 
             | 
           
          
             | 
             | 
            Xcc | 
            - | 
            232.42 | 
            - | 
            232.76 | 
             | 
           
          
             | 
             | 
            |Xab| | 
             | 
              44.89 | 
             | 
             | 
             | 
           
          
             | 
             | 
              | 
             | 
             | 
             | 
             | 
             | 
           
          
             | 
             | 
            RMS | 
             | 
            0.26 (0.08 %) | 
             | 
             | 
             | 
           
          
          
             | 
             | 
            RSD | 
             | 
            1.38 (0.40 %) | 
             | 
             | 
             | 
           
          
             | 
             | 
              | 
             | 
             | 
             | 
             | 
             | 
           
        
        
        
        
        
        
        
        
        
        
        
        
        
        
        
        
        
        
        
        
        
        
        
        
        
        
        
        
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
       
       | 
       | 
    
    
      |   | 
        | 
       | 
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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-Bromothiophene-79Br
      (MHz).  Calculation was 
 made    on the B3PW91/6-31G(2d,2pd) ring structure with the B3P86/6-31G(3d,3p) optimized CBr bond length. | 
             
             | 
           
          
             | 
             | 
             | 
             | 
             | 
             | 
             | 
             | 
             | 
           
          
             | 
             | 
            Calc. [a] B3LYP/6-311G(3df,3p) Model. | 
             | 
           
          
             | 
             | 
            Calc. [b] B3LYP/TZV+(3df,3p) 
    Model. | 
             | 
           
          
            |   | 
              
             | 
             | 
             
             | 
             
             | 
             
             | 
             
             | 
             
             | 
             
             | 
           
          
             
             | 
             
             | 
             | 
            Calc. [a] 
             | 
             
             | 
            Calc. [b] | 
             
             | 
            Expt. | 
             
             | 
           
          
            |   | 
              
             | 
             | 
             
             | 
             
             | 
             
             | 
             
             | 
             
             | 
             
             | 
           
          
          
          
             | 
            Xaa | 
             | 
            - 2.60 | 
             | 
            - 2.58 | 
             | 
             | 
             | 
           
          
             | 
            Xbb | 
            - | 
            19.48 | 
            - | 
            19.54 | 
             | 
             | 
             | 
           
          
             | 
            Xcc | 
             | 
            22.08 | 
             | 
            22.12 | 
             | 
             | 
             | 
           
          
             | 
            |Xab| | 
             | 
            15.01 | 
             | 
            15.09 | 
             | 
             | 
             | 
           
          
          
          
             | 
              | 
             | 
             | 
             | 
             | 
             | 
             | 
             | 
           
          
          
          
          
          
          
             | 
            RSD | 
             | 
            0.39 (1.7 %) | 
            
            0.35 (1.5 %) | 
            
             | 
             | 
           
          
             | 
              | 
             | 
             | 
             | 
             | 
             | 
             | 
             | 
           
          
             | 
            Xxx | 
             | 
              6.18 | 
             | 
              6.25 | 
             | 
             | 
             | 
           
          
             | 
            Xyy | 
             | 
            22.08 | 
             | 
            22.12 | 
             | 
             | 
             | 
           
          
             | 
            Xzz | 
            - | 
            28.26 | 
             | 
            28.37 | 
             | 
             | 
             | 
           
          
             | 
            ETA | 
             | 
            0.563 | 
             | 
            0.560 | 
             | 
             | 
             | 
           
          
             | 
            Øx,a | 
             | 
            30.32 | 
             | 
            30.34 | 
             | 
             | 
             | 
           
          
             | 
            Øa,bi | 
             | 
            29.25 | 
             | 
            29.25 | 
             | 
             | 
             | 
           
          
             | 
            Øx,bi* | 
             | 
              1.08 | 
             | 
              1.07 | 
             | 
             | 
             | 
           
          
          
          
          
          
          
             | 
              | 
             | 
             | 
             | 
             | 
             | 
             | 
             | 
           
        
        
        
        
        
        
        
        
        
        
        
        
        
        
        
        
        
        
        
        
        
        
        
        
        
        
        
        
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
       
       | 
       | 
    
    
       | 
        | 
       | 
       | 
       | 
       | 
       | 
       | 
       | 
       | 
    
    
       | 
      * The x-axis makes an angle of 1.08o /
1.07o with    the external bisector ( 'bi' ) of  the   CSC angle
and tilts toward C(2). | 
       | 
    
    
    
       | 
        | 
       | 
       | 
       | 
       | 
       | 
       | 
       | 
       | 
    
    
    
    
    
    
    
    
       | 
      
      
      
      
      
      
      
      
      
      
      
      
        
          
            
            |   | 
             | 
             | 
             | 
             | 
           
          
            | Table 4.   3-Bromothiophene and Thiophene.  Structure    parameters 
     (Å and degrees). | 
           
          
          
            |   | 
             | 
             | 
             | 
             | 
           
          
            
             | 
             | 
            B3P86 | 
            B3PW91 | 
            B3PW91 | 
           
          
            
             | 
             | 
            X = Br | 
            X = Br | 
            X = H | 
           
          
            
             | 
             | 
             | 
             | 
             | 
           
          
            
             | 
            S(1)C(2) | 
            1.7093 | 
            1.7190 | 
            1.7197 | 
           
          
            
             | 
            C(2)C(3) | 
            1.3649 | 
            1.3645 | 
            1.3660 | 
           
          
            
             | 
            C(3)C(4) | 
            1.4190 | 
            1.4219 | 
            1.4229 | 
           
          
            
             | 
            C(4)C(5) | 
            1.3644 | 
            1.3640 | 
            1.3660 | 
           
          
            
             | 
            C(5)S(1) | 
            1.7108 | 
            1.7205 | 
            1.7197 | 
           
          
            
             | 
            C(2)H(2) | 
            1.0782 | 
            1.0773 | 
            1.0787 | 
           
          
            
             | 
            C(3)X(3) | 
            1.8662 | 
            1.8707 | 
            1.0816 | 
           
          
            
             | 
            C(4)H(4) | 
            1.0810 | 
            1.0799 | 
            1.0816 | 
           
          
             | 
            C(5)H(5) | 
            1.0798 | 
            1.0784 | 
            1.0787 | 
           
          
            
             | 
            C(5)S(1)C(2) | 
              92.34 | 
              92.16 | 
              91.95 | 
           
          
            
             | 
            S(1)C(2)C(3) | 
            110.67 | 
            110.51 | 
            111.42 | 
           
          
            
             | 
            C(2)C(3)C(4) | 
            113.60 | 
            113.91 | 
            112.60 | 
           
          
            
             | 
            C(3)C(4)C(5) | 
            111.59 | 
            111.62 | 
            112.60 | 
           
          
            
             | 
            C(4)C(5)S(1) | 
            111.80 | 
            111.79 | 
            111.42 | 
           
          
            
             | 
            S(1)C(2)H(2) | 
            120.89 | 
            121.02 | 
            119.93 | 
           
          
             | 
            S(1)C(5)H(5) | 
            120.04 | 
            119.93 | 
            119.93 | 
           
          
            
             | 
            C(3)C(4)H(4) | 
            124.13 | 
            123.75 | 
            124.04 | 
           
          
            
             | 
            C(4)C(3)X(3) | 
            122.84 | 
            122.76 | 
            124.04 | 
           
          
          
          
          
          
          
          
        
        
        
        
        
        
        
        
        
        
        
        
        
        
        
        
        
        
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
       
       | 
       | 
    
    
    
    
    
    
    
       | 
        | 
       | 
       | 
       | 
       | 
       | 
       | 
       | 
       | 
    
    
    
    
    
       | 
        | 
       | 
       | 
       | 
       | 
       | 
       | 
       | 
       | 
    
    
       | 
      
      
      
      
      
      
      
      
      
        
          
             | 
             | 
             | 
             | 
             | 
             | 
           
          
            | Table 5.   3-Bromothiophene, normal species.      Atomic
 coordinates.  B3PW91/6-31G(2d,2pd) ring structure with the B3P86/6-31G(3d,3p) optimized CBr bond length.  | 
           
          
             | 
             | 
             | 
             | 
             | 
             | 
           
          
             | 
             | 
             | 
              a (Å) | 
             | 
              b (Å) | 
           
          
             | 
             | 
             | 
             | 
             | 
             | 
           
          
             | 
            S(1) | 
             | 
            2.6055 | 
            - | 
            0.5185 | 
           
          
             | 
            C(2) | 
             | 
            0.9587 | 
            - | 
            1.0117 | 
           
          
             | 
            C(3) | 
             | 
            0.1341 | 
             | 
            0.0754 | 
           
          
             | 
            C(4) | 
             | 
            0.8215 | 
             | 
            1.3201 | 
           
          
             | 
            C(5) | 
             | 
            2.1745 | 
             | 
            1.1471 | 
           
          
             | 
            H(2) | 
             | 
            0.6918 | 
            - | 
            2.0554 | 
           
          
             | 
            Br(3) | 
            - | 
            1.7279 | 
            - | 
            0.0499 | 
           
          
             | 
            H(4) | 
             | 
            0.3254 | 
             | 
            2.2793 | 
           
          
             | 
            H(5) | 
             | 
            2.9445 | 
             | 
            1.9021 | 
           
        
        
        
        
        
        
        
      
      
      
      
      
      
       
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            | Table 6.  3-Bromothiophene, normal species.      Rotational Constants (MHz). | 
           
          
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            [a] B3PW91/6-31G(2d,2pd)
      opt structure. | 
           
          
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            [b] B3P86/6-31G(3d,3p)
     opt structure. | 
           
          
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            [c] B3PW91/6-31G(2d,2pd)
      ring structure with the B3P86/6-31G(3d,3p) optimized CBr bond length. | 
           
          
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            Calc [a] | 
            Calc [b] | 
            Calc [c] | 
               Expt. [1] | 
           
          
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            | A | 
            7119.2 | 
            7164.8 | 
            7119.5 | 
            7102.6529(42) | 
           
          
            | B | 
              937.1 | 
              940.5 | 
              939.2 | 
              933.1055(5) | 
           
          
            | C | 
              828.1 | 
              831.4 | 
              829.8 | 
              824.6167(5) | 
           
        
        
        
        
        
        
        
      
      
      
      
      
      
       
       
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      [1] D.Hübner, E.Fliege,
 and   D.H.Sutter, Z.Naturforsch. 38a,1238(1983). | 
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      Y.Sasada, M.Saitoh, and S.Tobita, J.Mol.Spectrosc. 92,363(1982).  In the normal species, Xaa, Xbb, Xcc, and |Xab| respectively for 79Br are 568.0(11), -284.4(23), -283.6(25), and 47(29) MHz; and for 81Br, 485.4(11), -243.4(24), -242.0(26), and 33(28) MHz. | 
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       | 
      Thiophene | 
      2-Bromofurane | 
      2-Chlorothiophene | 
    
    
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      Thiazole | 
      3-Bromofurane | 
      3-Chlorothiophene | 
    
    
    
    
    
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      2-Bromothiophene | 
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      Table of Contents | 
       
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      Molecules/Bromine | 
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      Molecules/Sulfur | 
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      3BrThioph.html | 
    
    
       
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      Last
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