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      S=S=O
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       | 
      Sulfur 
       | 
      
      
       
       | 
    
    
       
       | 
      Nuclear
Quadrupole Coupling Constants | 
       
       | 
    
    
       
       | 
      in Disulfur Monoxide 
       | 
      
      
       
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        | 
       
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        | 
       
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        | 
       
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      Calculation of the nqcc tensors for 33S
in disulfur monoxide was made here on the effective [1], substitution
[2], and equilibrium [3] structures.  These are compared with the
experimental nqcc's of
Thornwirth et al. [2] in Tables 1 and 6.
 Structure parameters are shown in Table 7. 
       | 
       
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        | 
       
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      In Tables 1 and 6, 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.  Ø (degrees) 
  is the angle between     its subscripted parameters. ETA = (Xxx 
  - Xyy)/Xzz.   | 
       
 | 
    
    
    
    
       
 | 
      RMS is the root mean square
difference between calculated and experimental diagonal 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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        | 
       
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            |   | 
              
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             | 
            Table 1.  33S nqcc's in 33S=S=O  (MHz).  Calculation  was made on the ro structure [1]. | 
             
             | 
           
          
          
          
          
            |   | 
              
             | 
             
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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. [4] | 
             
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            |   | 
              
             | 
             
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            Xaa | 
            - | 
            15.23 | 
            - | 
            15.43 | 
            - | 
            14.5260(14) | 
             
 | 
           
          
             
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            Xbb | 
             
 | 
            34.33 | 
             
 | 
            35.01 | 
             
 | 
            33.90(13) | 
             
 | 
           
          
             
 | 
            Xcc | 
            - | 
            19.10 | 
            - | 
            19.57 | 
            - | 
            19.37(13) | 
             
 | 
           
          
             
 | 
            |Xab| | 
             
 | 
            11.65 | 
             
 | 
            11.90 | 
             
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              | 
             
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            RMS | 
             
 | 
            0.53 (2.2 %) | 
             
 | 
            0.83 (3.7 %) | 
             
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            RSD | 
             
 | 
            0.39 (1.7 %) | 
            
            0.35 (1.5 %) | 
            
             
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              | 
             
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       | 
       
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            |   | 
              
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             | 
            Table 2.  33S nqcc's in S=33S=O  (MHz).  Calculation  was made on the ro structure [1]. | 
             
             | 
           
          
          
          
          
            |   | 
              
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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. [4] | 
             
             | 
           
          
            |   | 
              
             | 
             
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 | 
            Xaa | 
             
 | 
            - 5.26 | 
             
 | 
            - 5.01 | 
             
 | 
            - 5.8442(14) | 
             
 | 
           
          
             
 | 
            Xbb | 
             
 | 
            23.46 | 
             
 | 
            22.87 | 
             
 | 
            22.21(15) | 
             
 | 
           
          
             
 | 
            Xcc | 
            - | 
            18.20 | 
            - | 
            17.87 | 
            - | 
            16.37(15) | 
             
 | 
           
          
             
 | 
            |Xab| | 
             
 | 
              7.86 | 
             
 | 
              7.88 | 
             
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              | 
             
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            RMS | 
             
 | 
            1.32 (8.9 %) | 
            1.06 (7.2 %) | 
             
 | 
             
 | 
           
          
             
 | 
            RSD | 
             
 | 
            0.39 (1.7 %) | 
            
            0.35 (1.5 %) | 
            
             
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              | 
             
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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 33S=S=O  (MHz).  Calculation  was made on the rs structure [2]. | 
             
             | 
           
          
          
          
          
            |   | 
              
             | 
             
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             | 
             
             | 
             
             | 
           
          
             
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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. [4] | 
             
             | 
           
          
            |   | 
              
             | 
             
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 | 
            Xaa | 
            - | 
            15.10 | 
            - | 
            15.30 | 
            - | 
            14.5260(14) | 
             
 | 
           
          
             
 | 
            Xbb | 
             
 | 
            34.23 | 
             
 | 
            34.91 | 
             
 | 
            33.90(13) | 
             
 | 
           
          
             
 | 
            Xcc | 
            - | 
            19.13 | 
            - | 
            19.60 | 
            - | 
            19.37(13) | 
             
 | 
           
          
             
 | 
            |Xab| | 
             
 | 
            11.72 | 
             
 | 
            11.98 | 
             
 | 
             
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              | 
             
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 | 
            RMS | 
             
 | 
            0.41 (1.8 %) | 
             
 | 
            0.75 (3.3 %) | 
             
 | 
             
 | 
             
 | 
           
          
             
 | 
            RSD | 
             
 | 
            0.39 (1.7 %) | 
            
            0.35 (1.5 %) | 
            
             
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              | 
             
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       | 
       
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 | 
      
      
      
      
      
        
          
            |   | 
              
             | 
             
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             | 
             
             | 
             
             | 
             
             | 
             
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             | 
           
          
             
             | 
            Table 4.  33S nqcc's in S=33S=O  (MHz).  Calculation  was made on the rs structure [2]. | 
             
             | 
           
          
          
          
          
            |   | 
              
             | 
             
 | 
             
             | 
             
             | 
             
             | 
             
             | 
             
             | 
             
             | 
           
          
             
 | 
             
 | 
             
 | 
            Calc [a] B3LYP/6-311G(3df,3p) model. | 
             
 | 
           
          
             
 | 
             
 | 
             
 | 
            Calc [b] B3LYP/TZV+(3df,3p) model. | 
             
 | 
           
          
             
 | 
              | 
             
 | 
             
 | 
             
 | 
             
 | 
             
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 | 
             
 | 
           
          
             
             | 
             
             | 
             
 | 
            Calc. [a]
             | 
             
             | 
            Calc. [b] | 
             
             | 
            Expt. [4] | 
             
             | 
           
          
            |   | 
              
             | 
             
 | 
             
             | 
             
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             | 
             
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 | 
            Xaa | 
             
 | 
            - 5.26 | 
             
 | 
            - 5.00 | 
             
 | 
            - 5.8442(14) | 
             
 | 
           
          
             
 | 
            Xbb | 
             
 | 
            23.43 | 
             
 | 
            22.84 | 
             
 | 
            22.21(15) | 
             
 | 
           
          
             
 | 
            Xcc | 
            - | 
            18.18 | 
            - | 
            17.84 | 
            - | 
            16.37(15) | 
             
 | 
           
          
             
 | 
            |Xab| | 
             
 | 
              7.98 | 
             
 | 
              8.00 | 
             
 | 
             
 | 
             
 | 
           
          
          
          
          
          
             
 | 
              | 
             
 | 
             
 | 
             
 | 
             
 | 
             
 | 
             
 | 
             
 | 
           
          
          
          
          
          
          
             
 | 
            RMS | 
             
 | 
            1.30 (8.8 %) | 
            1.05 (7.1 %) | 
             
 | 
             
 | 
           
          
             
 | 
            RSD | 
             
 | 
            0.39 (1.7 %) | 
            
            0.35 (1.5 %) | 
            
             
 | 
             
 | 
           
          
          
          
          
          
          
          
          
          
          
          
          
          
          
          
             
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              | 
             
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 | 
             
 | 
           
        
        
        
        
        
        
        
        
        
        
        
        
        
        
        
        
        
        
        
        
        
        
        
        
        
        
        
        
        
        
        
        
        
        
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
       
       | 
       
 | 
    
    
       
 | 
        | 
       
 | 
       
 | 
       
 | 
       
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 | 
       
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 | 
    
    
       
 | 
        | 
       
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 | 
       
 | 
       
 | 
    
    
       
 | 
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
        
          
            |   | 
              
             | 
             
 | 
             
             | 
             
             | 
             
             | 
             
             | 
             
             | 
             
             | 
           
          
             
             | 
            Table 5.  33S nqcc's in 33S=S=O  (MHz).  Calculation  was made on the re structure [3]. | 
             
             | 
           
          
          
          
          
            |   | 
              
             | 
             
 | 
             
             | 
             
             | 
             
             | 
             
             | 
             
             | 
             
             | 
           
          
             
 | 
             
 | 
             
 | 
            Calc [a] B3LYP/6-311G(3df,3p) model. | 
             
 | 
           
          
             
 | 
             
 | 
             
 | 
            Calc [b] B3LYP/TZV+(3df,3p) model. | 
             
 | 
           
          
             
 | 
              | 
             
 | 
             
 | 
             
 | 
             
 | 
             
 | 
             
 | 
             
 | 
           
          
             
             | 
             
             | 
             
 | 
            Calc. [a]
             | 
             
             | 
            Calc. [b] | 
             
             | 
            Expt. [4] | 
             
             | 
           
          
            |   | 
              
             | 
             
 | 
             
             | 
             
             | 
             
             | 
             
             | 
             
             | 
             
             | 
           
          
          
          
             
 | 
            Xaa | 
            - | 
            15.02 | 
            - | 
            15.22 | 
            - | 
            14.5260(14) | 
             
 | 
           
          
             
 | 
            Xbb | 
             
 | 
            34.16 | 
             
 | 
            34.84 | 
             
 | 
            33.90(13) | 
             
 | 
           
          
             
 | 
            Xcc | 
            - | 
            19.14 | 
            - | 
            19.62 | 
            - | 
            19.37(13) | 
             
 | 
           
          
             
 | 
            |Xab| | 
             
 | 
            11.71 | 
             
 | 
            11.97 | 
             
 | 
             
 | 
             
 | 
           
          
          
          
          
          
             
 | 
              | 
             
 | 
             
 | 
             
 | 
             
 | 
             
 | 
             
 | 
             
 | 
           
          
          
          
          
          
          
             
 | 
            RMS | 
             
 | 
            0.34 (1.5 %) | 
             
 | 
            0.69 (3.0 %) | 
             
 | 
             
 | 
             
 | 
           
          
             
 | 
            RSD | 
             
 | 
            0.39 (1.7 %) | 
            
            0.35 (1.5 %) | 
            
             
 | 
             
 | 
           
          
             
 | 
              | 
             
 | 
             
 | 
             
 | 
             
 | 
             
 | 
             
 | 
             
 | 
           
          
             
 | 
            Xxx | 
            - | 
            17.66 | 
            - | 
            17.93 | 
             
 | 
             
 | 
             
 | 
           
          
             
 | 
            Xyy | 
            - | 
            19.14 | 
            - | 
            19.62 | 
             
 | 
             
 | 
             
 | 
           
          
             
 | 
            Xzz | 
             
 | 
            36.81 | 
             
 | 
            37.55 | 
             
 | 
             
 | 
             
 | 
           
          
             
 | 
            ETA | 
             
 | 
            0.040 | 
             
 | 
            0.045 | 
             
 | 
             
 | 
             
 | 
           
          
             
 | 
            Øz,a | 
             
 | 
            77.26 | 
             
 | 
            77.22 | 
             
 | 
             
 | 
             
 | 
           
          
             
 | 
            Øa,S=S | 
             
 | 
            18.70 | 
             
 | 
            18.70 | 
             
 | 
             
 | 
             
 | 
           
          
             
 | 
            Øz,S=S | 
             
 | 
            95.96 | 
             
 | 
            95.92 | 
             
 | 
             
 | 
             
 | 
           
          
          
          
          
          
          
          
             
 | 
              | 
             
 | 
             
 | 
             
 | 
             
 | 
             
 | 
             
 | 
             
 | 
           
        
        
        
        
        
        
        
        
        
        
        
        
        
        
        
        
        
        
        
        
        
        
        
        
        
        
        
        
        
        
        
        
        
        
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
       
       | 
       
 | 
    
    
       
 | 
       
 | 
       
 | 
       
 | 
       
 | 
       
 | 
       
 | 
       
 | 
       
 | 
       
 | 
    
    
    
    
    
    
    
    
    
    
       
 | 
      
      
      
      
      
      
        
          
            |   | 
              
             | 
             
 | 
             
             | 
             
             | 
             
             | 
             
             | 
             
             | 
             
             | 
           
          
             
             | 
            Table 6.  33S nqcc's in S=33S=O  (MHz).  Calculation  was made on the re structure [3]. | 
             
             | 
           
          
          
          
          
            |   | 
              
             | 
             
 | 
             
             | 
             
             | 
             
             | 
             
             | 
             
             | 
             
             | 
           
          
             
 | 
             
 | 
             
 | 
            Calc [a] B3LYP/6-311G(3df,3p) model. | 
             
 | 
           
          
             
 | 
             
 | 
             
 | 
            Calc [b] B3LYP/TZV+(3df,3p) model. | 
             
 | 
           
          
             
 | 
              | 
             
 | 
             
 | 
             
 | 
             
 | 
             
 | 
             
 | 
             
 | 
           
          
             
             | 
             
             | 
             
 | 
            Calc. [a]
             | 
             
             | 
            Calc. [b] | 
             
             | 
            Expt. [4] | 
             
             | 
           
          
            |   | 
              
             | 
             
 | 
             
             | 
             
             | 
             
             | 
             
             | 
             
             | 
             
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            Xaa | 
             
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            - 5.20 | 
             
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            - 4.95 | 
             
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            - 5.8442(14) | 
             
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            Xbb | 
             
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            23.50 | 
             
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            22.92 | 
             
 | 
            22.21(15) | 
             
 | 
           
          
             
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            Xcc | 
            - | 
            18.30 | 
            - | 
            17.97 | 
            - | 
            16.37(15) | 
             
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            |Xab| | 
             
 | 
              7.92 | 
             
 | 
              7.94 | 
             
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              | 
             
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            RMS | 
             
 | 
            1.39 (9.4 %) | 
            1.13 (7.7 %) | 
             
 | 
             
 | 
           
          
             
 | 
            RSD | 
             
 | 
            0.39 (1.7 %) | 
            
            0.35 (1.5 %) | 
            
             
 | 
             
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              | 
             
 | 
             
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 | 
           
          
             
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            Xxx | 
             
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            - 7.24 | 
             
 | 
            - 7.05 | 
             
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 | 
             
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            Xyy | 
            - | 
            18.30 | 
            - | 
            17.97 | 
             
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 | 
             
 | 
           
          
             
 | 
            Xzz | 
             
 | 
            25.54 | 
             
 | 
            25.02 | 
             
 | 
             
 | 
             
 | 
           
          
             
 | 
            ETA | 
             
 | 
            0.433 | 
             
 | 
            0.436 | 
             
 | 
             
 | 
             
 | 
           
          
             
 | 
            Øz,a | 
             
 | 
            104.44 | 
             
 | 
            104.84 | 
             
 | 
             
 | 
             
 | 
           
          
             
 | 
            Øa,S=S | 
             
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              18.70 | 
             
 | 
              18.70 | 
             
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            Øz,S=S | 
             
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            123.14 | 
             
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            123.54 | 
             
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            Øz,bi * | 
             
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                2.08 | 
             
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                2.48 | 
             
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              | 
             
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      * Angle between the principal z-axis and the bisector ( bi ) of the S=S=O angle. | 
       
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            | Table 7.  S=S=O.  Structure parameters (Å and degrees). | 
           
          
          
            |   | 
             
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             ro [1] | 
             rs [2]  | 
            re [3] | 
           
          
             
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             | 
            S=S | 
            1.887(12) | 
            1.8852(22) | 
            1.88424(11) | 
            
           
          
            
             
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            S=O | 
            1.457(15) | 
            1.4586(19) | 
            1.45621(13) | 
            
           
          
            
             
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            S=S=O | 
            118.01(43) | 
            117.91(17) | 
            117.876(4) | 
            
           
          
          
          
          
          
          
          
          
          
          
          
          
          
          
          
          
          
          
          
          
        
        
        
        
        
        
        
        
        
        
        
        
        
        
        
        
        
        
        
        
        
        
        
        
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
      
       
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      [1] E.Tiemann, J.Hoeft, F.J.Lovas, and D.R.Johnson, J.Chem.Phys. 60,5000(1974). | 
       
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      [2] J.Lindenmayer, J.Mol.Spectrosc. 116,315(1986). | 
       
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      [3] J.Lindenmayer, H.D.Rudolph, and H.Jones, J.Mol.Spectrosc. 119,56(1986). | 
       
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      [4] S.Thornwirth, P.Theulé, C.A.Gottlieb, H.S.P.Müller, M.C.McCarthy, and P.Thaddeus, J.Mol.Struct. 795,219(2006). | 
       
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      CH3SSCH3 | 
      (CH3)2SO | 
      S=SF2 | 
      SO2 | 
       
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      Table of Contents | 
       
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      Molecules/Sulfur | 
       
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      SSO.html | 
    
    
       
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      Last
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