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Comparison of levels of theory for Ge-S


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 2.0505
3
PM3 1.9057
3
PM6 1.9879
3
composite G2 1.9852
3
G3 1.9930
3
G3B3 2.0349
3
G4 2.0187
3
CBS-Q 1.9831
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 daug-cc-pVTZ
hartree fock HF 1.9024
3
2.0671
3
1.9971
3
2.0519
3
1.9908
3
1.9908
3
1.9864
3
1.9937
3
1.9937
3
1.9805
3
  1.9953
3
1.9973
3
1.9924
3
1.9897
3
2.0017
3
1.9928
3
1.9899
3
1.9927
3
density functional LSDA 1.8853
3
  2.0099
3
2.0572
3
2.0032
3
2.0032
3
1.9979
3
2.0044
3
2.0044
3
1.9887
3
  2.0069
3
2.0138
3
2.0002
3
  2.0142
3
1.9999
3
   
BLYP 1.9095
3
2.1090
3
2.0518
3
2.1021
3
2.0485
3
2.0445
3
2.0393
3
2.0485
3
2.0485
3
2.0292
3
  2.0499
3
2.0559
3
2.0425
3
  2.0686
1
2.0547
1
   
B1B95 1.8930
3
  2.0070
3
2.0558
3
1.9995
3
1.9995
3
1.9945
3
2.0033
3
2.0033
3
1.9875
3
  2.0044
3
2.0089
3
1.9995
3
  2.0107
3
1.9999
3
   
B3LYP 1.8989
3
2.0871
3
2.0272
3
2.0778
3
2.0203
3
2.0203
3
2.0154
3
2.0235
3
2.0235
3
2.0064
3
  2.0252
3
2.0303
3
2.0189
3
2.0160
3
2.0318
3
2.0191
3
2.0159
3
 
B3LYPultrafine   2.0993
1
    2.0204
3
2.0290
1
2.0221
1
2.0349
1
      2.0359
1
2.0304
3
2.0189
3
  2.0319
3
2.0191
3
   
B3PW91 1.8976
3
2.0793
3
2.0179
3
2.0654
3
2.0089
3
2.0089
3
2.0040
3
2.0117
3
2.0117
3
1.9957
3
  2.0136
3
2.0186
3
2.0082
3
  2.0321
1
2.0202
1
   
mPW1PW91 1.8956
3
2.0749
3
2.0130
3
2.0604
3
2.0039
3
2.0039
3
1.9990
3
2.0070
3
2.0070
3
1.9914
3
  2.0086
3
2.0134
3
2.0036
3
  2.0153
3
2.0038
3
   
M06-2X 1.8886
3
2.0681
3
2.0091
3
2.0618
3
2.0045
3
2.0045
3
1.9999
3
2.0094
3
2.0094
3
1.9948
3
2.0045
3
2.0114
3
2.0128
3
2.0073
3
  2.0162
3
2.0076
3
   
PBEPBE 1.9039
3
2.0968
3
2.0372
3
2.0837
3
2.0270
3
2.0270
3
2.0218
3
2.0310
3
2.0310
3
2.0125
3
  2.0323
3
2.0376
3
2.0260
3
  2.0388
3
2.0263
3
   
PBEPBEultrafine   2.1138
1
    2.0271
3
2.0388
1
2.0313
1
2.0454
1
      2.0461
1
2.0377
3
2.0260
3
  2.0389
3
2.0263
3
   
PBE1PBE 1.8941
3
  2.0132
3
2.0605
3
2.0040
3
2.0040
3
1.9990
3
2.0072
3
2.0072
3
1.9911
3
  2.0087
3
2.0131
3
2.0037
3
  2.0151
3
2.0039
3
   
HSEh1PBE 1.8944
3
2.0762
3
2.0144
3
2.0625
3
2.0058
3
2.0058
3
2.0007
3
2.0085
3
2.0085
3
1.9926
3
  2.0104
3
2.0149
3
2.0050
3
  2.0167
3
2.0052
3
   
TPSSh 1.8578
1
2.1000
1
2.0347
1
2.0823
1
2.0221
1
2.0221
1
2.0146
1
2.0277
1
2.0277
1
1.9962
3
  2.0284
1
2.0334
1
2.0225
1
2.0200
1
2.0357
1
2.0228
1
2.0200
1
 
wB97X-D 1.8507
1
2.0767
1
2.0088
3
2.0625
1
2.0000
3
2.0095
1
1.9944
3
2.0137
1
2.0028
3
2.0023
1
  2.0051
3
2.0001
3
1.9993
3
2.0078
1
2.0232
1
1.9994
3
2.0078
1
 
B97D3   2.0939
2
    2.0238
2
  2.0187
2
  2.0268
2
  2.0252
3
2.0253
2
  2.0199
2
    2.0172
2
  2.0241
3
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 1.9382
3
2.1054
3
2.0184
3
2.0921
3
2.0212
3
2.0182
3
2.0137
3
2.0211
3
2.0187
3
2.0097
3
  2.0137
3
2.0257
3
2.0083
3
2.0006
3
2.0325
3
2.0090
3
1.9989
3
 
MP2=FULL 1.9368
3
2.1055
3
2.0167
3
2.0915
3
2.0132
3
2.0132
3
2.0086
3
2.0110
3
2.0110
3
1.9889
3
  2.0150
3
2.0238
3
2.0018
3
1.9903
3
2.0299
3
1.9980
3
1.9844
3
 
MP3         2.0089
3
  2.0045
3
        2.0136
1
2.0241
1
2.0095
1
         
MP3=FULL   2.0967
1
2.0157
1
2.0814
1
2.0108
1
2.0108
1
2.0045
1
2.0134
1
2.0134
1
1.9961
1
  2.0163
1
2.0230
1
2.0054
1
  2.0325
1
2.0032
1
   
MP4   2.1395
3
    2.0354
3
      2.0363
3
    2.0329
3
2.0439
3
2.0226
3
  2.0489
3
2.0231
3
   
MP4=FULL   2.1399
3
    2.0307
3
      2.0300
3
      2.0418
3
2.0155
3
  2.0460
3
2.0115
3
   
B2PLYP 1.8919
1
2.1161
1
2.0397
1
2.1037
1
2.0324
1
2.0324
1
2.0254
1
2.0377
1
2.0377
1
2.0248
1
  2.0360
1
2.0430
1
2.0299
1
  2.0478
1
2.0308
1
   
B2PLYP=FULL 1.8910
1
2.1162
1
2.0392
1
2.1034
1
2.0305
1
2.0305
1
2.0234
1
2.0347
1
2.0347
1
2.0179
1
  2.0365
1
2.0424
1
2.0278
1
  2.0472
1
2.0275
1
   
B2PLYP=FULLultrafine 1.8911
1
2.1162
1
2.0394
1
2.1035
1
2.0197
3
2.0306
1
2.0234
1
2.0348
1
2.0348
1
2.0179
1
  2.0366
1
2.0299
3
2.0152
3
  2.0473
1
2.0143
3
   
Configuration interaction CID   2.0891
3
2.0046
3
2.0759
3
2.0031
3
    2.0028
3
                     
CISD   2.0968
3
2.0081
3
2.0834
3
2.0069
3
    2.0065
3
                     
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   2.1205
3
2.0241
3
2.1074
3
2.0231
3
2.0231
3
2.0183
3
2.0228
3
2.0228
3
2.0088
3
  2.0197
3
2.0298
3
2.0093
3
  2.0346
3
2.0090
3
   
QCISD(T)         2.0313
3
    2.0463
1
      2.0288
3
2.0393
3
2.0189
3
  2.0446
3
2.0190
3
   
QCISD(T)=FULL         2.0385
1
  2.0312
1
          2.0518
1
2.0258
1
2.0144
1
2.0584
1
2.0224
1
2.0115
1
 
QCISD(TQ)         2.0323
1
  2.0255
1
          2.0427
1
2.0247
1
2.0163
1
2.0505
1
2.0254
1
2.0146
1
 
QCISD(TQ)=FULL         2.0282
1
                    2.0488
1
     
Coupled Cluster CCD   2.0960
3
2.0109
3
2.0830
3
2.0105
3
2.0105
3
2.0060
3
2.0099
3
2.0099
3
2.0009
3
  2.0077
3
2.0179
3
2.0015
3
  2.0244
3
2.0016
3
   
CCSD         2.0170
3
        2.0174
1
  2.0137
3
2.0240
3
2.0057
3
1.9964
3
2.0296
3
2.0056
3
1.9948
3
 
CCSD=FULL         2.0127
3
        2.0001
1
  2.0154
3
2.0223
3
2.0002
3
1.9880
3
2.0272
3
1.9961
3
1.9828
3
 
CCSD(T)         2.0280
3
2.0385
1
  2.0411
1
      2.0252
3
2.0359
3
2.0165
3
2.0071
3
2.0416
3
2.0167
3
2.0057
3
 
CCSD(T)=FULL         2.0236
3
            2.0271
3
2.0340
3
2.0106
3
1.9987
3
2.0390
3
2.0067
3
1.9931
3
 
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 2.0640
3
  2.0649
3
  2.0699
3
2.0736
3
    1.9847
3
density functional B3LYP 2.0971
3
  2.0957
3
  2.1015
3
2.1000
3
    2.0201
3
PBEPBE                 2.0285
3
wB97X-D 2.0787
1
  2.0784
1
  2.0910
1
2.0856
1
     
Moller Plesset perturbation MP2 2.1084
3
  2.1106
3
  2.1074
3
2.1170
3
    2.0079
3
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.