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Comparison of experiment and theory for dSSSS

18 10 24 13 42
Species with coordinate dSSSS
Species Name
S8 Octasulfur
The small subscript is the number of angles with completed calculations.
Click on an entry for a histogram of the difference distribution.
rms differences (calculated - experiment) in degrees
Methods with predefined basis sets

rms differences (calculated - experiment) in degrees
Methods with standard basis sets
STO-3G 3-21G 3-21G* 6-31G 6-31G* 6-31G** 6-31+G** 6-311G* 6-311G** 6-31G(2df,p) 6-311+G(3df,2p) TZVP cc-pVDZ cc-pVTZ aug-cc-pVDZ aug-cc-pVTZ cc-pV(T+d)Z daug-cc-pVTZ
hartree fock HF 4.91 4.71 8.21 7.21 8.71 8.71 8.81 8.51 8.51 8.51 8.51 8.31 7.81 8.41 7.81 8.51 8.61 8.51
density functional LSDA 7.61 7.71 10.11 9.71 10.81 10.81 10.91 10.71 10.71 9.91     9.61 9.81 9.51      
BLYP   8.31 10.41 9.91 16.81 11.01 11.11 11.01 10.91       10.21 10.41 10.11      
B1B95 6.51   9.21 8.81 9.81 9.91 9.91 9.91 9.91 9.31     8.81 9.11 8.61      
B3LYP 6.31 7.11 9.71 9.01 10.31 10.31 10.31 10.21   9.71 10.01 9.81 9.31 9.71 9.31 15.91 9.91  
B3LYPultrafine         10.21                 9.71   10.01    
B3PW91   6.91 9.61 9.01 10.21 10.21 10.31 10.21         9.21 9.51 9.11      
mPW1PW91 6.31 6.51 9.41 8.71 10.01 10.01 10.11 10.01 10.01       9.01 9.41        
M06-2X     8.41   8.91                          
PBEPBE                 10.91 10.21                
PBEPBEultrafine         10.91                          
PBE1PBE         10.11                          
HSEh1PBE   6.71     10.11   10.21             9.41        
TPSSh         16.11   16.11     15.61       15.61        
wB97X-D     15.11   15.61   15.71   15.61     15.71 15.71 15.21   15.21    
B97D3   17.61     16.11   16.11   16.11   15.41 9.91   15.61   9.81    
STO-3G 3-21G 3-21G* 6-31G 6-31G* 6-31G** 6-31+G** 6-311G* 6-311G** 6-31G(2df,p) 6-311+G(3df,2p) TZVP cc-pVDZ cc-pVTZ aug-cc-pVDZ aug-cc-pVTZ cc-pV(T+d)Z daug-cc-pVTZ
Moller Plesset perturbation MP2   6.11 9.11 8.21 15.61 9.51 9.71 15.51 9.61     8.91 8.31 8.61 8.11   8.81  
MP2=FULL   6.11 9.01 8.21 9.51 9.51 9.61           8.21 8.51     8.71  
MP3         8.91   15.61                      
MP3=FULL         15.61   15.61                      
MP4   6.41     9.51                          
B2PLYP         10.01                 15.61        
Configuration interaction CID   5.21     8.81                          
CISD   5.31     8.81                          
STO-3G 3-21G 3-21G* 6-31G 6-31G* 6-31G** 6-31+G** 6-311G* 6-311G** 6-31G(2df,p) 6-311+G(3df,2p) TZVP cc-pVDZ cc-pVTZ aug-cc-pVDZ aug-cc-pVTZ cc-pV(T+d)Z daug-cc-pVTZ
Quadratic configuration interaction QCISD   5.81 8.51 7.81 9.01 9.01 9.21 8.91                    
QCISD(T)         9.31                          
Coupled Cluster CCD   5.21 8.31 7.41 8.81 8.81 8.91 8.81                    
CCSD(T)         9.31                          
STO-3G 3-21G 3-21G* 6-31G 6-31G* 6-31G** 6-31+G** 6-311G* 6-311G** 6-31G(2df,p) 6-311+G(3df,2p) TZVP cc-pVDZ cc-pVTZ aug-cc-pVDZ aug-cc-pVTZ cc-pV(T+d)Z daug-cc-pVTZ

rms differences (calculated - experiment) in degrees
Methods with effective core potentials (select basis sets)
CEP-31G CEP-31G* CEP-121G CEP-121G* LANL2DZ SDD cc-pVTZ-PP aug-cc-pVTZ-PP Def2TZVPP
hartree fock HF 7.71 8.31 7.61 8.31 6.81 5.91     14.81
density functional B1B95 9.11 9.61              
B3LYP 9.41 9.91 9.41 9.91 8.51 8.11     15.51
PBEPBE                 15.61
Moller Plesset perturbation MP2 8.91 8.91 8.51 8.81 8.01 7.21     14.71
For descriptions of the methods (AM1, HF, MP2, ...) and basis sets (3-21G, 3-21G*, 6-31G, ...) see the glossary in section I.C. Predefined means the basis set used is determined by the method.