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Comparison of levels of theory for S-As


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 PM3 1.9522
1
PM6 2.1086
1
composite G2 2.0008
1
G3 2.0056
1
G3B3 2.0556
1
G4 2.0393
1
CBS-Q 2.0015
1

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 daug-cc-pVTZ
hartree fock HF 1.9593
1
2.3314
1
2.1041
1
2.2892
1
2.0003
1
2.0003
1
2.0897
1
2.0039
1
2.0039
1
2.0623
1
2.0815
1
2.0037
1
2.0040
1
1.9961
1
2.0842
1
2.1075
1
1.9965
1
2.0840
1
1.9964
1
ROHF   2.0936
1
2.0016
1
2.0700
1
1.9954
1
1.9954
1
1.9907
1
2.0000
1
2.0000
1
  1.9904
1
2.0000
1
2.0008
1
1.9938
1
1.9911
1
2.0051
1
1.9944
1
1.9911
1
 
density functional LSDA 1.9888
1
  2.0271
1
2.0989
1
2.0235
1
2.0235
1
2.0179
1
2.0252
1
2.0252
1
2.0051
1
2.0116
1
2.0249
1
2.0306
1
2.0161
1
  2.0313
1
2.0157
1
   
BLYP 2.0146
1
2.1576
1
2.0663
1
2.1442
1
2.0660
1
2.0660
1
2.0600
1
2.0694
1
2.0694
1
2.0440
1
2.0534
1
2.0676
1
2.0717
1
2.0576
1
  2.0728
1
2.0574
1
   
B1B95 1.9849
1
  2.0178
1
2.0889
1
2.0127
1
2.0127
1
2.0073
1
2.0177
1
2.0177
1
1.9977
1
2.0058
1
2.0171
1
2.0195
1
2.0092
1
  2.0213
1
2.0092
1
   
B3LYP 1.9963
1
2.1292
1
2.0392
1
2.1131
1
2.0365
1
2.0365
1
2.0311
1
2.0400
1
2.0400
1
2.0181
1
2.0260
1
2.0390
1
2.0425
1
2.0301
1
2.0270
1
2.0441
1
2.0300
1
2.0268
1
 
B3LYPultrafine   2.1292
1
    2.0367
1
2.0367
1
2.0313
1
2.0402
1
    2.0260
1
2.0392
1
2.0427
1
2.0302
1
  2.0443
1
2.0302
1
   
B3PW91 1.9925
1
2.1214
1
2.0298
1
2.1008
1
2.0241
1
2.0241
1
2.0185
1
2.0274
1
2.0274
1
2.0073
1
2.0151
1
2.0270
1
2.0306
1
2.0190
1
  2.0322
1
2.0189
1
   
mPW1PW91 1.9881
1
2.1161
1
2.0243
1
2.0948
1
2.0181
1
2.0181
1
2.0127
1
2.0217
1
2.0217
1
2.0021
1
2.0098
1
2.0213
1
2.0246
1
2.0136
1
  2.0265
1
2.0136
1
   
M06-2X 1.9763
1
2.1081
1
2.0215
1
2.1100
1
2.0148
1
2.0148
1
2.0096
1
2.0209
1
2.0209
1
2.0014
1
2.0104
1
2.0203
1
2.0217
1
2.0134
1
  2.0248
1
2.0135
1
   
PBEPBE 2.0056
1
2.1442
1
2.0511
1
2.1252
1
2.0463
1
2.0463
1
2.0404
1
2.0506
1
2.0506
1
2.0269
1
2.0363
1
2.0492
1
2.0525
1
2.0402
1
  2.0537
1
2.0402
1
   
PBEPBEultrafine   2.1441
1
    2.0465
1
2.0465
1
2.0406
1
2.0508
1
    2.0363
1
2.0494
1
2.0527
1
2.0404
1
  2.0539
1
2.0403
1
   
PBE1PBE 1.9866
1
  2.0243
1
2.0950
1
2.0178
1
2.0178
1
2.0124
1
2.0219
1
2.0219
1
2.0017
1
2.0098
1
2.0214
1
2.0241
1
2.0136
1
  2.0261
1
2.0136
1
   
HSEh1PBE 1.9876
1
2.1176
1
2.0257
1
2.0974
1
2.0199
1
2.0199
1
2.0145
1
2.0238
1
2.0238
1
2.0034
1
2.0113
1
2.0233
1
2.0262
1
2.0153
1
  2.0281
1
2.0154
1
   
TPSSh 1.9960
1
2.1306
1
2.0351
1
2.1073
1
2.0283
1
2.0283
1
2.0226
1
2.0324
1
2.0324
1
2.0108
1
2.0195
1
2.0316
1
2.0351
1
2.0229
1
2.0201
1
2.0366
1
2.0227
1
2.0198
1
 
wB97X-D 1.9788
1
2.1015
1
2.0196
1
2.0833
1
2.0136
1
2.0136
1
2.0085
1
2.0170
1
2.0170
1
1.9983
1
2.0054
1
2.0170
1
2.0203
1
2.0095
1
2.0065
1
2.0227
1
2.0095
1
2.0063
1
 
B97D3 2.0193
1
2.1481
1
2.0516
1
2.1287
1
2.0470
1
2.0470
1
2.0411
1
2.0519
1
2.0519
1
2.0270
1
2.0361
1
2.0501
1
2.0528
1
2.0399
1
2.0369
1
2.0542
1
2.0395
1
2.0363
1
2.0397
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 daug-cc-pVTZ
Moller Plesset perturbation MP2 2.0178
1
2.1944
1
1.9285
1
2.1636
1
2.0500
1
2.0500
1
2.0456
1
2.0518
1
2.0518
1
2.0363
1
2.0403
1
2.0479
1
2.0550
1
2.0357
1
2.0303
1
1.9286
1
2.0364
1
2.0293
1
 
MP2=FULL 2.0174
1
2.1942
1
1.9268
1
2.1615
1
2.0466
1
2.0466
1
2.0423
1
2.0487
1
2.0487
1
2.0265
1
2.0336
1
2.0490
1
2.0537
1
2.0322
1
2.0276
1
1.9270
1
2.0305
1
2.0256
1
 
ROMP2 2.0175
1
  2.0349
1
2.1459
1
2.0348
1
2.0348
1
2.0294
1
2.0378
1
2.0378
1
2.0184
1
2.0253
1
2.0334
1
2.0415
1
2.0197
1
  2.0484
1
     
MP3         2.0373
1
  2.0332
1
      2.0277
1
2.0362
1
2.0425
1
2.0250
1
         
MP3=FULL   2.2074
1
1.9548
1
2.1739
1
2.0348
1
2.0348
1
2.0308
1
2.0369
1
2.0369
1
2.0183
1
2.0241
1
2.0377
1
2.0416
1
2.0224
1
  1.9558
1
2.0208
1
   
MP4   2.1824
1
    2.0658
1
          2.0515
1
2.0663
1
  2.0483
1
  1.9618
1
2.0486
1
   
MP4=FULL   2.1826
1
    2.0620
1
          2.0454
1
    2.0432
1
  1.9590
1
2.0409
1
   
B2PLYP 1.9590
1
2.0934
1
2.0346
1
2.0755
1
2.0328
1
2.0328
1
2.0292
1
2.0375
1
2.0375
1
2.0186
1
2.0271
1
2.0350
1
2.0376
1
2.0277
1
  2.0427
1
2.0283
1
   
B2PLYP=FULL 1.9588
1
2.0934
1
2.0343
1
2.0753
1
2.0317
1
2.0317
1
2.0280
1
2.0365
1
2.0365
1
2.0142
1
2.0245
1
2.0353
1
2.0372
1
2.0263
1
  2.0423
1
2.0260
1
   
B2PLYP=FULLultrafine 1.9588
1
2.0935
1
2.0344
1
2.0754
1
2.0318
1
2.0318
1
2.0280
1
2.0365
1
2.0365
1
2.0143
1
2.0246
1
2.0354
1
2.0373
1
2.0264
1
  2.0424
1
2.0260
1
   
Configuration interaction CID   2.2169
1
1.9884
1
2.1839
1
2.0301
1
    2.0310
1
    2.0182
1
               
CISD   2.1791
1
2.0058
1
  2.0315
1
    2.0327
1
    2.0185
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 daug-cc-pVTZ
Quadratic configuration interaction QCISD   2.1847
1
2.0357
1
2.1601
1
2.0455
1
2.0455
1
2.0395
1
2.0475
1
2.0475
1
2.0214
1
2.0281
1
2.0439
1
2.0496
1
2.0249
1
  2.0452
1
2.0248
1
   
QCISD(T)         2.0557
1
    2.0668
1
    2.0415
1
2.0553
1
2.0619
1
2.0377
1
  2.0536
1
2.0380
1
   
QCISD(T)=FULL         2.0515
1
          2.0345
1
  2.0601
1
2.0327
1
2.0244
1
2.0514
1
2.0294
1
   
QCISD(TQ)         2.0479
1
          2.0364
1
  2.0553
1
2.0337
1
2.0235
1
2.0634
1
2.0333
1
   
QCISD(TQ)=FULL         2.0447
1
  2.0391
1
          2.0537
1
2.0287
1
  2.0614
1
     
Coupled Cluster CCD   2.2046
1
1.9705
1
2.1730
1
2.0377
1
2.0377
1
2.0335
1
2.0386
1
2.0386
1
2.0238
1
2.0262
1
2.0362
1
2.0424
1
2.0232
1
  1.9717
1
2.0234
1
   
CCSD         2.0370
1
        2.0169
1
2.0229
1
2.0357
1
2.0423
1
2.0197
1
2.0112
1
2.0454
1
2.0197
1
2.0097
1
 
CCSD=FULL         2.0333
1
        2.0059
1
2.0164
1
2.0369
1
2.0408
1
2.0153
1
2.0079
1
2.0436
1
2.0124
1
2.0049
1
 
CCSD(T)         2.0527
1
2.0527
1
2.0531
1
2.0616
1
2.0616
1
2.0307
1
2.0388
1
2.0521
1
2.0590
1
2.0354
1
2.0261
1
2.0539
1
2.0357
1
   
CCSD(T)=FULL         2.0487
1
          2.0324
1
2.0537
1
2.0573
1
2.0305
1
2.0227
1
2.0521
1
2.0276
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 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 2.0886
1
  2.0897
1
  2.3793
1
2.0872
1
    1.9904
1
density functional B3LYP 2.1365
1
  2.1360
1
  2.1525
1
2.1281
1
    2.0355
1
PBEPBE                 2.0473
1
wB97X-D 2.1089
1
  2.1089
1
  2.1230
1
2.1006
1
     
Moller Plesset perturbation MP2 2.1680
1
  2.1706
1
  2.2335
1
2.1675
1
    2.1335
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.