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      2-Br-C4H3S 
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      Bromine and Sulfur 
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      Nuclear
Quadrupole Coupling Constants | 
       
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      in 2-Bromothiophene | 
       
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      Calculation of the bromine nqcc's in 2-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 Table 1.  33S nqcc's calculated on the B3PW91/6-31G(2d,2pd) ropt structure are given in Table 2.  Structure
parameters are given in Table 3, atomic coordinates in Table 4, and
rotational constants in Table 5. | 
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      In Tables 1 and 2, 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 the
average of the magnitudes of the experimental nqcc's).  RSD is the residual standard deviation
of calibration of the model for calculation of
the nqcc's. | 
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            Table 
1.   79Br     nqcc's in 2-Bromothiophene-32S
    (MHz). | 
             
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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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            Calc. [a] 
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            Calc. [b] | 
             
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            Expt. [1] | 
             
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            |   | 
              
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            Xaa | 
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            589.34 | 
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            586.81 | 
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            592.7(15) | 
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            Xbb | 
            - | 
            294.93 | 
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            293.69 | 
            - | 
            295.3(6) | 
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            Xcc | 
            - | 
            294.41 | 
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            293.12 | 
            - | 
            297.4(16) | 
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            |Xab| | 
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              85.20 | 
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              84.45 | 
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              80(9) | 
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            RMS | 
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            2.6 (0.66 %) | 
            
            4.3 (1.1 %) | 
            
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            RSD | 
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            1.58 (0.39 %) | 
            
            1.58 (0.39 %) | 
            
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            Xxx | 
            - | 
            303.06 | 
            - | 
            301.72 | 
            - | 
            302.4(27) | 
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            Xyy | 
            - | 
            294.41 | 
            - | 
            293.12 | 
            - | 
            297.4(16) | 
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            Xzz | 
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            597.48 | 
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            594.84 | 
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            599.8(22) | 
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            ETA | 
            - | 
            0.0145 | 
            - | 
            0.0145 | 
            - | 
            0.008(5) | 
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            Øz,a | 
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            5.45 | 
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            5.43 | 
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            5.11(56) | 
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            Øa,CBr | 
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            6.40 | 
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            6.35 | 
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            Øz,CBr | 
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            0.95 | 
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            0.92 | 
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            Table 2. 
            33S nqcc's in 3-Bromothiophene-79Br
      (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 | 
            - | 
            28.12 | 
            - | 
            28.21 | 
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            Xbb | 
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              3.95 | 
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              4.07 | 
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            Xcc | 
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            24.17 | 
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            24.14 | 
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            |Xab| | 
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              7.74 | 
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              7.77 | 
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            RSD | 
             | 
            0.39 (1.7 %) | 
            
            0.35 (1.5 %) | 
            
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            Xxx | 
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              5.72 | 
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              5.84 | 
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            Xyy | 
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            24.17 | 
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            24.14 | 
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            Xzz | 
            - | 
            29.89 | 
            - | 
            29.98 | 
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            ETA | 
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            0.617 | 
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            0.610 | 
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            Øx,a | 
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            77.13 | 
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            77.15 | 
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            Øa,bi | 
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            81.44 | 
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            81.44 | 
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            Øx,bi* | 
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              4.32 | 
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              4.29 | 
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      * The x-axis makes an angle of 4.32o / 4.29o with    the external bisector ( 'bi' ) of  the   CSC angle
and tilts toward C(2). | 
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            | Table 3.   2-Bromothiophene and Thiophene.  Structure    parameters 
     (Å and degrees). | 
           
          
          
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            B3P86 | 
            B3PW91 | 
            B3PW91 | 
           
          
            
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            X = Br | 
            X = Br | 
            X = H | 
           
          
            
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            S(1)C(2) | 
            1.7155 | 
            1.7262 | 
            1.7197 | 
           
          
            
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            C(2)C(3) | 
            1.3648 | 
            1.3648 | 
            1.3660 | 
           
          
            
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            C(3)C(4) | 
            1.4201 | 
            1.4227 | 
            1.4229 | 
           
          
            
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            C(4)C(5) | 
            1.3657 | 
            1.3652 | 
            1.3660 | 
           
          
            
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            C(5)S(1) | 
            1.7133 | 
            1.7221 | 
            1.7197 | 
           
          
            
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            C(2)X(2) | 
            1.8553 | 
            1.8590 | 
            1.0787 | 
           
          
            
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            C(3)H(3) | 
            1.0812 | 
            1.0804 | 
            1.0816 | 
           
          
            
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            C(4)H(4) | 
            1.0825 | 
            1.0814 | 
            1.0816 | 
           
          
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            C(5)H(5) | 
            1.0800 | 
            1.0789 | 
            1.0787 | 
           
          
            
             | 
            C(5)S(1)C(2) | 
              91.36 | 
              92.26 | 
              91.95 | 
           
          
            
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            S(1)C(2)C(3) | 
            112.43 | 
            112.18 | 
            111.42 | 
           
          
            
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            C(2)C(3)C(4) | 
            111.62 | 
            111.89 | 
            112.60 | 
           
          
            
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            C(3)C(4)C(5) | 
            112.83 | 
            113.00 | 
            112.60 | 
           
          
            
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            C(4)C(5)S(1) | 
            111.76 | 
            111.66 | 
            111.42 | 
           
          
            
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            S(1)C(2)X(2) | 
            120.32 | 
            120.42 | 
            119.93 | 
           
          
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            S(1)C(5)H(5) | 
            119.81 | 
            119.64 | 
            119.93 | 
           
          
            
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            C(3)C(4)H(4) | 
            123.89 | 
            123.58 | 
            124.04 | 
           
          
            
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            C(4)C(3)H(3) | 
            125.01 | 
            124.86 | 
            124.04 | 
           
          
          
          
          
          
          
          
        
        
        
        
        
        
        
        
        
        
        
        
        
        
        
        
        
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
       
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            | Table 4.   2-Bromothiophene, normal species.      Atomic
 coordinates.  B3PW91/6-31G(2d,2pd) ropt structure.  | 
           
          
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              a (Å) | 
             | 
              b (Å) | 
           
          
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            S(1) | 
             | 
            1.3017 | 
            - | 
            1.1555 | 
           
          
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            C(2) | 
             | 
            0.2670 | 
             | 
            0.2263 | 
           
          
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            C(3) | 
             | 
            0.9697 | 
             | 
            1.3963 | 
           
          
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            C(4) | 
             | 
            2.3745 | 
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            1.1714 | 
           
          
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            C(5) | 
             | 
            2.7025 | 
            - | 
            0.1538 | 
           
          
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            Br(2) | 
            - | 
            1.5804 | 
             | 
            0.0190 | 
           
          
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            H(3) | 
             | 
            0.5000 | 
             | 
            2.3693 | 
           
          
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            H(4) | 
             | 
            3.1075 | 
             | 
            1.9664 | 
           
          
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            H(5) | 
             | 
            3.6814 | 
            - | 
            0.6062 | 
           
        
        
        
        
        
        
      
      
      
      
      
       
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            | Table 5.  2-Bromothiophene, normal species.      Rotational Constants (MHz). | 
           
          
            |   | 
              | 
             | 
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            [a] B3PW91/6-31G(2d,2pd)
      opt structure. | 
           
          
             | 
            [b] B3P86/6-31G(3d,3p)
     opt structure. | 
           
          
          
            |   | 
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             | 
            Calc [a] | 
            Calc [b] | 
               Expt. [1] | 
           
          
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            A | 
            5410.9 | 
            5437.9 | 
            5403.432(111) | 
           
          
             | 
            B | 
            1142.4 | 
            1150.1 | 
            1139.0689(10) | 
           
          
             | 
            C | 
              943.2 | 
              949.3 | 
              940.5142(18) | 
           
        
        
        
        
        
        
      
      
      
      
      
       
       
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       | 
      [1] P.J.Mjöberg, W.M.Ralowski, and
S.O.Ljunggren, Z.Naturforsch. 30a,541 (1975). | 
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       | 
      Thiophene | 
      2-Bromofurane | 
      2-Chlorothiophene | 
    
    
       | 
      Thiazole | 
      3-Bromofurane | 
      3-Chlorothiophene | 
    
    
    
    
    
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      3-Bromothiophene | 
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       | 
      Table of Contents | 
       
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      Molecules/Bromine | 
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      Molecules/Sulfur | 
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      2BrThioph.html | 
    
    
       
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      Last
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