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Comparison of levels of theory for S-B


Click on an entry for a histogram of the values.
The subscript refers to how many bonds of that type have been calculated.
average calculated bond lengths (Å)
Methods with predefined basis sets
semi-empirical AM1 1.4771
4
PM3 1.5265
1
PM6 1.5993
4
composite G2 1.5857
3
G3 1.5857
3
G3B3 1.6066
3
G3MP2 1.6008
2
G4 1.6269
4
CBS-Q 1.5891
3

average calculated bond lengths (Å)
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 cc-pVQZ aug-cc-pVDZ aug-cc-pVTZ aug-cc-pVQZ cc-pV(T+d)Z aug-cc-pV(T+d)Z aug-cc-pCVTZ daug-cc-pVDZ daug-cc-pVTZ
hartree fock HF 1.5622
4
1.6436
4
1.6176
4
1.6568
4
1.6160
4
1.6161
4
1.6124
4
1.6128
4
1.6127
4
1.6128
4
1.5945
2
1.6105
4
1.6214
4
1.6093
4
1.6062
4
1.6212
4
1.6088
4
1.6060
4
1.5951
2
1.5916
1
1.5917
1
1.6054
1
1.6088
4
ROHF   1.6288
1
1.6053
1
  1.6022
1
1.6022
1
1.6024
1
1.6002
1
        1.6092
1
1.5986
1
                 
density functional LSDA 1.5957
4
1.6414
4
1.6325
4
1.6668
4
1.6334
4
1.6334
4
1.6271
4
1.6238
4
1.6238
4
1.6266
4
    1.6365
4
1.6188
4
1.6292
2
1.6322
4
1.6301
2
1.6272
2
  1.5953
1
1.5960
1
   
BLYP 1.6109
4
1.6707
4
1.6491
4
1.6857
4
1.6451
4
1.6504
4
1.6442
4
1.6427
4
1.6426
4
1.6435
4
1.6101
1
1.6165
1
1.6528
4
1.6359
4
  1.6328
2
1.6126
1
    1.6096
1
1.6104
1
1.6250
1
1.6126
1
B1B95 1.5891
4
1.6013
1
1.6293
4
1.6641
4
1.6286
4
1.6291
4
1.6236
4
1.6234
4
1.6234
4
1.6245
4
1.5938
1
1.5992
1
1.6329
4
1.6181
4
1.6301
2
1.6297
4
1.6196
3
1.6286
2
  1.5937
1
1.5943
1
1.6076
1
1.5962
1
B3LYP 1.5947
4
1.6564
4
1.6343
4
1.6710
4
1.6350
4
1.6350
4
1.6296
4
1.6281
4
1.6280
4
1.6289
4
1.6046
2
1.6249
4
1.6381
4
1.6224
4
1.6220
3
1.6349
4
1.6210
4
1.6183
4
1.6045
2
1.5989
1
1.5995
1
1.6135
1
1.6019
1
B3LYPultrafine   1.6254
1
    1.6350
4
1.6089
1
1.6096
1
1.6048
1
  1.6035
1
1.5991
1
1.6052
1
1.6143
1
1.6020
1
  1.6138
1
1.6204
4
    1.5989
1
1.5995
1
1.6135
1
1.6019
1
B3PW91 1.5921
4
1.6554
4
1.6333
4
1.6681
4
1.6325
4
1.6325
4
1.6272
4
1.6260
4
1.6260
4
1.6273
4
1.5984
1
1.6043
1
1.6362
4
1.6214
4
  1.6186
2
1.6012
1
    1.5983
1
1.5994
1
1.6125
1
1.6012
1
mPW1PW91 1.5884
4
1.6527
4
1.6305
4
1.6652
4
1.6294
4
1.6294
4
1.6243
4
1.6235
4
1.6234
4
1.6246
4
1.5964
1
1.6022
1
1.6332
4
1.6191
4
  1.6164
2
1.5994
1
    1.5965
1
1.5971
1
1.6105
1
1.5994
1
M06-2X 1.5526
1
1.6162
1
1.6249
4
1.6294
1
1.6249
4
1.6006
1
1.6012
1
1.5968
1
1.5966
1
1.5962
1
1.6107
4
1.5976
1
1.6065
1
1.5952
1
  1.6062
1
1.5948
1
    1.5920
1
1.5926
1
1.6060
1
1.5947
1
PBEPBE 1.6053
4
1.6675
4
1.6506
3
1.6855
3
1.6458
4
1.6458
4
1.6395
4
1.6389
4
1.6388
4
1.6402
4
1.6145
2
1.6144
1
1.6487
4
1.6334
4
1.6456
2
1.6230
1
1.6108
1
1.6436
2
1.6203
1
1.6084
1
1.6091
1
1.6227
1
1.6108
1
PBEPBEultrafine   1.6349
1
    1.6247
2
1.6182
1
1.6187
1
1.6139
1
  1.6128
1
1.6086
1
1.6144
1
1.6235
1
1.6109
1
  1.6230
1
1.6108
1
    1.6084
1
1.6091
1
1.6227
1
1.6108
1
PBE1PBE 1.5595
1
1.6054
1
1.6054
1
1.6350
1
1.6299
4
1.6055
1
1.6060
1
1.6022
1
1.6019
1
1.6012
1
1.5977
1
1.6029
1
1.6117
1
1.6003
1
  1.6113
1
1.6002
1
    1.5978
1
1.5983
1
1.6110
1
1.6002
1
HSEh1PBE 1.5600
1
1.6536
4
1.6056
1
1.6355
1
1.6305
4
1.6060
1
1.6252
4
1.6024
1
1.6022
1
1.6015
1
1.5979
1
1.6031
1
1.6121
1
1.6200
4
  1.6116
1
1.6004
1
    1.5975
1
1.5985
1
1.6113
1
1.6004
1
TPSSh 1.5658
1
1.6299
1
1.6109
1
1.6404
1
1.6341
4
1.6102
1
1.6298
4
1.6068
1
1.6066
1
1.6295
4
1.6022
1
1.6076
1
1.6169
1
1.6247
4
1.6023
1
1.6167
1
1.6044
1
1.6024
1
  1.6021
1
1.6025
1
1.6164
1
1.6044
1
wB97X-D 1.5581
1
1.6199
1
1.6275
4
1.6324
1
1.6270
4
1.6039
1
1.6225
4
1.6002
1
1.6219
4
1.5995
1
1.5953
1
1.6193
4
1.6240
4
1.6176
4
1.5953
1
1.6103
1
1.6165
4
1.5954
1
  1.5951
1
1.5957
1
1.6100
1
1.5981
1
B97D3 1.5765
1
1.6609
4
1.6169
1
1.6475
1
1.6416
4
1.6171
1
1.6368
4
1.6131
1
1.6362
4
1.6112
1
1.6273
4
1.6362
4
1.6228
1
1.6309
4
1.6076
1
1.6223
1
1.6319
4
1.6077
1
  1.6072
1
1.6078
1
1.6220
1
1.6318
4
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 cc-pVQZ aug-cc-pVDZ aug-cc-pVTZ aug-cc-pVQZ cc-pV(T+d)Z aug-cc-pV(T+d)Z aug-cc-pCVTZ daug-cc-pVDZ daug-cc-pVTZ
Moller Plesset perturbation MP2 1.5930
4
1.6713
4
1.6405
4
1.6840
4
1.6303
4
1.6326
4
1.6273
4
1.6281
4
1.6302
4
1.6338
4
1.6042
1
1.6281
4
1.6475
4
1.6301
4
1.6052
2
1.6487
4
1.6295
4
1.6057
2
1.6074
2
1.6056
1
1.6052
1
1.6252
1
1.6080
1
MP2=FULL 1.5908
4
1.6713
4
1.6461
3
1.6899
3
1.6302
4
1.6303
4
1.6251
4
1.6293
4
1.6292
4
1.6336
3
1.6004
1
1.6052
1
1.6460
4
1.6296
3
1.6007
2
1.6278
2
1.6016
1
1.5984
1
1.6014
2
1.5987
1
1.6014
1
1.6232
1
1.6015
1
MP3         1.6225
4
  1.6220
4
                        1.5990
1
1.5986
1
   
MP3=FULL         1.6200
4
  1.6158
4
                        1.5923
1
1.5953
1
   
MP4   1.7346
2
    1.6499
4
    1.6197
2
1.6774
2
        1.6448
4
          1.6136
1
1.6132
1
   
MP4=FULL                                       1.6060
1
1.6100
1
   
B2PLYP 1.5672
1
1.6312
1
1.6100
1
1.6448
1
1.6361
4
1.6090
1
1.6157
2
1.6060
1
1.6119
2
1.6056
1
1.6024
1
1.6069
1
1.6185
1
1.6256
4
  1.6195
1
1.6052
1
    1.6027
1
1.6030
1
1.6191
1
1.6052
1
B2PLYP=FULL 1.5671
1
1.6371
2
1.6098
1
1.6447
1
1.6137
2
1.6084
1
1.6141
2
1.6057
1
1.6054
1
1.6038
1
1.6013
1
1.6066
1
1.6181
1
1.6036
1
  1.6189
1
1.6034
1
    1.6003
1
1.6019
1
1.6185
1
1.6033
1
B2PLYP=FULLultrafine 1.5671
1
1.6312
1
1.6098
1
1.6447
1
1.6354
4
1.6084
1
1.6091
1
1.6057
1
1.6054
1
1.6038
1
1.6013
1
1.6066
1
1.6433
4
1.6258
4
  1.6189
1
1.6240
4
    1.6003
1
1.6019
1
1.6185
1
1.6033
1
Configuration interaction CID   1.6646
3
1.6332
3
1.6796
3
1.6220
4
    1.6195
4
    1.5944
1
  1.6133
1
1.5974
1
          1.5953
1
1.5949
1
1.6154
1
1.5976
1
CISD   1.6721
3
1.6377
3
1.6875
3
1.6265
4
    1.6284
3
    1.5967
1
  1.6167
1
1.5998
1
          1.5975
1
1.5971
1
1.6181
1
1.5998
1
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 cc-pVQZ aug-cc-pVDZ aug-cc-pVTZ aug-cc-pVQZ cc-pV(T+d)Z aug-cc-pV(T+d)Z aug-cc-pCVTZ daug-cc-pVDZ daug-cc-pVTZ
Quadratic configuration interaction QCISD   1.6797
4
1.6485
3
1.7025
3
1.6368
4
1.6422
3
1.6321
4
1.6350
4
1.6349
4
1.6403
3
1.6046
1
1.6092
1
1.6518
4
1.6307
4
  1.6277
1
1.6076
1
  1.6157
1
1.6052
1
1.6048
1
1.6274
1
1.6076
1
QCISD(T)         1.6426
4
    1.6205
2
    1.6101
1
1.6139
1
1.6635
3
1.6427
3
  1.6635
3
1.6419
3
    1.6108
1
1.6104
1
1.6329
1
1.6133
1
QCISD(T)=FULL         1.6111
1
  1.6122
1
      1.6061
1
  1.6291
1
1.6077
1
1.6026
1
1.6313
1
1.6064
1
1.6025
1
  1.6035
1
1.6067
1
1.6307
1
1.6063
1
Coupled Cluster CCD   1.6699
3
1.6386
3
1.6848
3
1.6261
4
1.6316
3
1.6252
3
1.6239
4
1.6289
3
1.6325
3
1.5982
1
1.6006
1
1.6460
3
1.6273
3
  1.6471
3
1.6267
3
    1.5992
1
1.5988
1
1.6196
1
1.6015
1
CCSD         1.6311
4
1.6050
1
1.6057
1
1.6100
2
1.6038
1
1.6042
1
1.6016
1
1.6051
1
1.6214
1
1.6045
1
1.5993
1
1.6236
1
1.6047
1
1.5997
1
  1.6024
1
1.6020
1
1.6232
1
1.6047
1
CCSD=FULL         1.6027
1
        1.5984
1
1.5980
1
1.6041
1
1.6200
1
1.5996
1
1.5945
1
1.6218
1
1.5983
1
1.5942
1
  1.5950
1
1.5984
1
1.6212
1
1.5981
1
CCSD(T)         1.6175
2
1.6177
2
1.6121
1
1.6175
2
1.6105
1
1.6104
1
1.6140
2
1.6117
1
1.6605
3
1.6361
4
1.6058
1
1.6608
3
1.6396
3
1.6063
1
  1.6095
1
1.6091
1
1.6309
1
1.6120
1
CCSD(T)=FULL         1.6424
3
          1.6042
1
1.6107
1
1.6270
1
1.6060
1
1.6012
1
1.6294
1
1.6048
1
1.6010
1
  1.6019
1
1.6049
1
1.6288
1
1.6047
1
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 cc-pVQZ aug-cc-pVDZ aug-cc-pVTZ aug-cc-pVQZ cc-pV(T+d)Z aug-cc-pV(T+d)Z aug-cc-pCVTZ daug-cc-pVDZ daug-cc-pVTZ

average calculated bond lengths (Å)
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 1.6731
4
1.6342
4
1.6682
4
1.6204
4
1.6549
4
1.6511
4
    1.6060
4
density functional BLYP                 1.6101
1
B1B95 1.6591
1
1.6333
1
            1.5939
1
B3LYP 1.6961
4
1.6584
4
1.6902
4
1.6454
4
1.6754
4
1.6678
4
    1.6182
4
B3LYPultrafine                 1.5993
1
B3PW91                 1.5992
1
mPW1PW91                 1.5969
1
M06-2X                 1.5924
1
PBEPBE                 1.6278
4
PBEPBEultrafine                 1.6087
1
PBE1PBE                 1.5980
1
HSEh1PBE                 1.5982
1
TPSSh                 1.6023
1
wB97X-D 1.6552
1
1.6295
1
1.6479
1
1.6159
1
1.6368
1
1.6270
1
    1.5956
1
B97D3                 1.6076
1
Moller Plesset perturbation MP2 1.7089
4
1.6580
4
1.6954
4
1.6409
4
1.6839
4
1.6802
4
    1.6235
4
MP2=FULL                 1.6014
1
B2PLYP                 1.6026
1
B2PLYP=FULL                 1.6017
1
B2PLYP=FULLultrafine                 1.6017
1
Configuration interaction CID                 1.5946
1
CISD                 1.5970
1
Quadratic configuration interaction QCISD                 1.6047
1
QCISD(T)                 1.6099
1
QCISD(T)=FULL                 1.6073
1
Coupled Cluster CCD                 1.5983
1
CCSD                 1.6017
1
CCSD=FULL                 1.5989
1
CCSD(T)                 1.6083
1
CCSD(T)=FULL                 1.6055
1
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.