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Comparison of experiment and theory for aOSO

18 10 24 13 42
Species with coordinate aOSO
Species Name
C2H6O2S Dimethyl sulfone
SO2F2 Sulfuryl fluoride
SO2- Sulfur dioxide anion
SO2 Sulfur dioxide
SO2+ Sulfur dioxide cation
SO3-- Sulfate dianion
SO3- Sulfur trioxide anion
SO3 Sulfur trioxide
SO3+ Sulfur trioxide cation
H2SO4 Sulfuric acid
SO2Cl2 Sulfuryl chloride
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) 6-311+G(3df,2pd) TZVP cc-pVDZ cc-pVTZ cc-pVQZ aug-cc-pVDZ aug-cc-pVTZ aug-cc-pVQZ cc-pV(D+d)Z cc-pV(T+d)Z aug-cc-pV(T+d)Z aug-cc-p(Q+d)Z cc-pCVDZ cc-pCVTZ aug-cc-pCVTZ Sadlej_pVTZ daug-cc-pVDZ daug-cc-pVTZ
hartree fock HF 11.17 4.07 3.27 3.87 2.97 2.97 0.73 2.97 2.97 3.07 3.46 0.51 3.17 2.97 3.17 0.72 3.17 3.27 0.72 0.31 3.36 0.42     0.64 0.61 1.11 1.42 3.27
ROHF   5.51 0.81 6.31 0.71 0.71 0.91 0.81 0.81   0.51   1.71 1.71 1.21 0.91 2.01 1.31 0.91   0.32 0.42     0.42     1.91 1.31
density functional LSDA 6.47 5.36 3.27 3.47 2.67 2.67 2.87 2.67 2.67 2.67 0.52 0.21 1.93 2.87 2.87   2.97 1.33   0.11 0.75 0.22     0.22 0.41      
BLYP 6.57 5.37 2.77 3.67 4.37 2.67 2.77 2.57 2.57 2.67 0.33 0.21 1.64 2.87 3.25   3.06 0.83   0.01 0.65 0.22     0.12 0.31   1.32 0.92
B1B95 6.77 1.03 2.87 3.77 2.77 2.77 2.87 2.77 2.67 2.77 0.53 0.31 1.54 2.87 2.97   2.97 2.97   0.11 0.65 0.32     0.22 0.41   1.32 0.92
B3LYP 6.87 4.87 2.87 3.87 2.77 2.67 2.87 2.67 1.04 2.67 3.06 0.21 2.97 2.87 2.97 0.62 1.54 3.17 0.62 0.11 3.06 0.32     0.54 0.41 1.31 1.42 0.92
B3LYPultrafine 12.81 3.13 0.41 5.61 2.77 0.33 2.96 0.43 0.71 0.33 0.53 0.21 1.13 1.13 3.16   1.23 3.17     0.43 0.32     0.22 0.41   1.42 0.92
B3PW91 6.64 4.67 2.87 3.77 2.67 2.67 2.87 2.77 0.94 2.77 0.53 0.21 1.54 2.87 2.97   3.06 0.94   0.11 0.65 0.22     0.22 0.41   1.42 0.92
mPW1PW91 6.64 4.67 0.74 3.77 2.77 2.77 2.87 2.77 2.77 2.77 0.53 0.31 1.54 2.87 0.94   2.97 1.04   0.11 0.53 0.32     0.32 0.41   1.42 0.92
M06-2X 7.14 3.04 2.97 3.34 2.67 0.74 1.04 1.04 1.04 0.64 0.65 0.51 1.64 1.44 1.04   1.54 1.04     0.65 0.52     0.42 0.71   1.52 1.12
PBEPBE 6.24 5.17 0.64 2.54 2.67 2.67 2.77 2.57 2.57 2.67 0.75 0.21 1.54 2.77 2.87   1.54 1.04   0.11 0.23 0.12     0.12 0.31 1.11 1.22 0.82
PBEPBEultrafine 11.81 2.83 0.21 4.81 2.76 0.13 0.33 0.33 0.61 0.13 0.33 0.21 1.03 1.03 0.73   1.03 0.83     0.23 0.12     0.12 0.31   1.22 0.82
PBE1PBE 7.33 0.53 0.53 3.33 2.86 0.23 0.53 0.43 0.43 0.43 0.53 0.31 1.03 1.03 0.93   1.23 1.03     0.64 0.32     0.32 0.41   1.32 0.92
HSEh1PBE 6.64 4.67 0.74 2.94 2.77 0.74 2.87 0.94 0.94 0.64 0.53 0.31 1.54 1.44 2.97   1.54 1.04     0.65 0.32     0.32 0.41   1.42 0.92
TPSSh 7.13 3.03 0.33 3.13 2.67 0.23 2.77 0.33 0.33 2.67 0.43   1.03 1.03 2.97 0.62 1.13 0.93 0.62   0.43 0.32     0.22 0.41   1.32 0.92
wB97X-D 7.93 3.53 2.87 3.73 2.77 0.43 2.87 0.53 2.77 0.43 0.53   2.97 2.87 2.97 0.62 1.33 3.07 0.62   0.53 0.32     0.32 0.41   1.42 0.92
B97D3 6.93 4.57 0.23 2.93 2.87 0.23 2.97 0.43 2.87 0.23 2.87   2.87 1.03 2.97 0.52 1.13 2.87 0.62   0.23 0.22     0.22 0.41   1.32 1.05
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) 6-311+G(3df,2pd) TZVP cc-pVDZ cc-pVTZ cc-pVQZ aug-cc-pVDZ aug-cc-pVTZ aug-cc-pVQZ cc-pV(D+d)Z cc-pV(T+d)Z aug-cc-pV(T+d)Z aug-cc-p(Q+d)Z cc-pCVDZ cc-pCVTZ aug-cc-pCVTZ Sadlej_pVTZ daug-cc-pVDZ daug-cc-pVTZ
Moller Plesset perturbation MP2 7.24 5.07 2.67 3.77 4.17 2.57 2.67 4.17 2.57 2.57 0.43 0.41 2.87 2.57 0.95 0.22 1.44 2.67 0.22 0.71 2.86 0.22   0.61 0.74 0.11 0.41 0.82 0.52
MP2=FULL 7.24 2.84 0.84 2.94 4.27 2.57 2.67 2.57 1.14 0.74 0.43 0.41 1.76 1.44 0.86 0.12 1.44 0.74 0.12 0.71 2.86 0.22 0.31 0.61 0.64 0.01 0.41 0.82 0.52
ROMP2 13.91 0.51 0.51 5.51 0.41 0.41 0.21 0.01 0.01 0.41 0.31   1.41 0.91 0.51   1.41       0.32 0.12     0.32     1.21 0.71
MP3 18.81 7.61 0.51 8.41 2.77 0.51 2.87 0.71 0.71 0.11 0.53 0.11 1.23 0.93 0.73   2.11 1.21     0.55 0.22     0.12 0.41   0.01 0.01
MP3=FULL   1.32 0.62 0.02 2.87 0.22 2.87 0.12 0.02 0.32 0.62   0.52 0.12 0.52   0.42 0.01     0.33 0.22     0.12 0.41   0.01 0.01
MP4 12.01 1.74 0.31 2.31 0.94 0.11 0.41 0.21 1.24 0.11 0.33 0.11 1.03 0.73 0.84   0.93 0.73   0.41 0.23 0.12     0.74 0.21   0.01 0.01
MP4=FULL 12.01 1.73 0.31 2.31 0.13 0.01 0.51 0.21 0.43 0.11 0.33 0.11 1.71 0.73 0.43   0.93 0.72     0.23 0.12     0.64 0.21   0.01 0.01
B2PLYP 7.23 2.83 0.33 2.73 2.67 0.13 0.43 0.33 0.33 0.64 0.43   1.13 0.93 2.87   1.13 0.96     0.33 0.22     0.12 0.31   1.22 0.82
B2PLYP=FULL 7.23 2.83 0.33 2.73 0.13 0.13 0.43 0.33 0.33 0.23 0.43   1.13 0.93 0.73   1.13 0.83     0.33 0.22     0.12 0.31   1.22 0.82
B2PLYP=FULLultrafine 7.23 2.83 0.33 2.73 1.05 0.13 0.43 0.33 0.33 0.23 0.43   1.13 1.65 0.95   1.13 0.84     0.33 0.75 0.21   0.12 0.82   1.22 0.82
Configuration interaction CID 16.11 3.14 0.74 3.34 2.87 0.41 0.71 0.84 0.51 0.21 0.63 0.11 1.71 0.83 0.83   1.91 1.21     0.53 0.22     0.12 0.41   1.22 0.82
CISD 15.31 3.04 0.74 3.24 2.87   0.81 0.84 0.51 0.21 0.63 0.11 1.71 0.83 0.83   1.91 1.21     0.53 0.22     0.12 0.41   1.22 0.82
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) 6-311+G(3df,2pd) TZVP cc-pVDZ cc-pVTZ cc-pVQZ aug-cc-pVDZ aug-cc-pVTZ aug-cc-pVQZ cc-pV(D+d)Z cc-pV(T+d)Z aug-cc-pV(T+d)Z aug-cc-p(Q+d)Z cc-pCVDZ cc-pCVTZ aug-cc-pCVTZ Sadlej_pVTZ daug-cc-pVDZ daug-cc-pVTZ
Quadratic configuration interaction QCISD 15.11 4.87 0.84 3.04 0.86 0.84 1.04 1.04 2.77 0.74 0.53 0.11 1.66 1.46 0.76   1.54 0.84   0.11 0.55 0.22     0.12 0.41   1.32 0.92
QCISD(T) 16.41 5.91 0.41 5.61 1.06 0.41 0.81 0.43 0.61 0.11 0.33 0.11 1.95 1.56 0.86   1.54 0.94     0.23 0.22     0.02 0.41   1.22 0.82
QCISD(T)=FULL         0.23   0.53       0.33     0.93 0.53 0.42 1.13 0.82 0.52   0.23 0.22     0.02 0.41   1.22 0.82
QCISD(TQ) 18.61 6.61 0.41 6.81 0.41 0.41 0.81 0.61 0.61 0.01 0.01 0.01 2.01 1.41 0.81   1.91 1.11                      
Coupled Cluster CCD 16.61 3.34 0.74 3.44 4.37 0.74 0.94 0.94 0.94 0.64 0.43 0.01 1.56 1.34 0.74   1.44 0.94   0.21 0.55 0.12     0.54 0.31   1.22 0.82
CCSD 16.61 6.01 0.31 6.21 3.15 0.22 0.52 0.42 0.42 0.74 0.53 0.01 1.25 1.34 0.64 0.42 1.13 0.63 0.52   0.55 0.22     0.12 0.31   1.32 0.82
CCSD=FULL 16.61 6.01 0.31 6.21 0.74 0.31 0.81 0.51 0.51 0.74 0.43 0.01 1.13 0.83 0.64 0.42 1.23 0.83 0.42   0.55 0.21     0.02 0.31   1.22 0.82
CCSD(T) 18.61 6.21 0.41 6.11 2.67 0.23 0.53 0.43 0.43 0.13 0.33 0.01 1.76 1.56 0.86 0.42 1.54 1.03 0.42 0.21 0.23 0.22   1.11 0.64 0.31   1.22 0.82
CCSD(T)=FULL 18.61 6.21 0.41 6.11 1.06 0.31 0.81 0.61 0.61 0.11 0.33 0.01 1.76 1.44 0.74 0.42 1.54 0.82 0.42 0.21 0.23 0.22   1.11 0.64 0.41   1.22 0.72
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) 6-311+G(3df,2pd) TZVP cc-pVDZ cc-pVTZ cc-pVQZ aug-cc-pVDZ aug-cc-pVTZ aug-cc-pVQZ cc-pV(D+d)Z cc-pV(T+d)Z aug-cc-pV(T+d)Z aug-cc-p(Q+d)Z cc-pCVDZ cc-pCVTZ aug-cc-pCVTZ Sadlej_pVTZ daug-cc-pVDZ 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 4.77 3.07 4.37 3.07 4.57 4.27     3.27
ROHF                 0.71
density functional LSDA 5.51 0.81 5.31 1.01 5.91 5.41     0.61
BLYP 5.71 0.81 5.51 0.91 5.91 5.41     0.43
B1B95 4.66 3.06 6.51 1.01 6.91 6.31     0.63
B3LYP 4.47 2.97 4.27 2.97 4.57 4.27     3.07
B3LYPultrafine 6.71 1.01 6.51 1.11 6.81 6.21     0.63
B3PW91 6.81 1.01 6.51 1.11 6.81 6.21     0.63
mPW1PW91 6.91 1.01 6.61 1.11 7.01 6.31     0.63
M06-2X 7.51 0.91 7.21 1.11 7.61 6.91     0.73
PBEPBE 5.71 0.71 5.51 0.91 6.11 5.51     2.87
PBEPBEultrafine 5.81 0.71 5.51 0.91 6.11 5.61     0.43
PBE1PBE 6.91 1.01 6.61 1.11 7.01 6.31     0.63
HSEh1PBE 6.81 1.01 6.51 1.11 6.91 6.21     0.63
TPSSh                 0.53
wB97X-D 4.53 0.73 4.43 0.83 4.43 4.03     0.63
B97D3                 0.43
Moller Plesset perturbation MP2 4.57 2.77 4.17 2.77 4.57 4.17     2.57
MP2=FULL 6.81 0.31 6.41 0.51 6.91 6.11     0.33
ROMP2                 0.11
MP3 10.21 1.21 9.51 1.31 9.51 8.51     0.62
MP3=FULL                 0.62
MP4 3.01 0.51 2.81 0.81 3.61 3.11     0.32
MP4=FULL 3.01 0.51 2.81 0.81 3.61 3.01     0.32
B2PLYP                 0.53
B2PLYP=FULL                 0.53
B2PLYP=FULLultrafine                 0.53
Configuration interaction CID 8.11 1.01 7.61 1.21 7.81 6.91     0.73
CISD 7.71 1.01 7.31 1.21 7.51 6.71     0.73
Quadratic configuration interaction QCISD 6.71 1.01 6.41 1.31 7.01 6.31     0.53
QCISD(T) 6.71 0.91 6.41 1.21 7.11 6.41     0.43
QCISD(T)=FULL                 0.43
QCISD(TQ) 8.21 0.91 7.71 1.11 8.11 7.31      
Coupled Cluster CCD 8.31 0.91 7.81 1.11 8.01 7.11     0.53
CCSD 7.71 0.91 7.21 1.11 7.61 6.81     0.53
CCSD=FULL 7.71 0.91 7.21 1.11 7.61 6.81     0.53
CCSD(T) 7.51 0.91 7.01 1.21 7.61 6.71     0.43
CCSD(T)=FULL 7.51 0.91 7.01 1.21 7.61 6.71     0.43
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.