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Comparison of levels of theory for O-Ge


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 1.6653
4
PM3 1.6326
4
PM6 1.5535
4
composite G2 1.5999
3
G3 1.6113
4
G3B3 1.6440
4
G4 1.6365
4
CBS-Q 1.6267
4

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 daug-cc-pVDZ daug-cc-pVTZ
hartree fock HF 1.5038
4
1.6303
4
1.6411
4
1.6560
4
1.6269
4
1.6269
4
1.6282
4
1.6135
4
1.6135
4
1.6102
4
1.5892
3
1.6145
4
1.6248
4
1.6088
4
1.6077
4
1.6273
4
1.6100
4
1.6077
4
1.5911
1
1.5930
1
1.6050
3
1.6099
4
ROHF   1.6786
1
1.7050
1
1.7213
1
1.6994
1
1.6994
1
1.6964
1
1.6829
1
1.6829
1
    1.6797
1
1.6975
1
1.6727
1
1.6706
1
1.6974
1
1.6734
1
1.6705
1
  1.5926
1
   
density functional LSDA 1.4804
4
1.6494
3
1.6544
4
1.6633
4
1.6396
4
1.6396
4
1.6411
4
1.6234
4
1.6234
4
1.6220
4
1.6245
1
1.6315
2
1.6370
4
1.6180
4
  1.6391
4
1.6188
4
  1.6229
1
1.6242
1
   
BLYP 1.4997
4
1.6616
4
1.6841
4
1.6962
4
1.6731
4
1.6731
4
1.6752
4
1.6583
4
1.6583
4
1.6531
4
1.6482
3
1.6610
4
1.6706
4
1.6527
4
  1.6735
4
1.6541
4
  1.6526
1
1.6547
1
1.6668
3
1.6490
3
B1B95 1.4915
4
1.6444
3
1.6551
4
1.6662
4
1.6409
4
1.6409
4
1.6421
4
1.6266
4
1.6266
4
1.6233
4
1.6140
3
1.6276
4
1.6383
4
1.6207
4
  1.6403
4
1.6218
4
  1.6179
1
1.6195
1
1.6307
3
1.6139
3
B3LYP 1.4898
4
1.6469
4
1.6658
4
1.6777
4
1.6528
4
1.6528
4
1.6548
4
1.6383
4
1.6383
4
1.6346
4
1.6256
3
1.6405
4
1.6504
4
1.6330
4
1.6316
4
1.6531
4
1.6343
4
1.6316
4
1.6295
1
1.6314
1
1.6433
3
1.6263
3
B3LYPultrafine   1.6468
4
    1.6527
4
1.6527
4
1.6548
4
1.6382
4
  1.6256
3
1.6256
3
1.6405
4
1.6504
4
1.6329
4
  1.6529
4
1.6342
4
  1.6295
1
1.6314
1
1.6433
3
1.6263
3
B3PW91 1.4923
4
1.6435
4
1.6613
4
1.6710
4
1.6462
4
1.6462
4
1.6472
4
1.6314
4
1.6314
4
1.6280
4
1.6194
3
1.6325
4
1.6437
4
1.6257
4
  1.6454
4
1.6267
4
  1.6239
1
1.6254
1
1.6365
3
1.6197
3
mPW1PW91 1.4906
4
1.6408
4
1.6579
4
1.6678
4
1.6424
4
1.6424
4
1.6435
4
1.6278
4
1.6278
4
1.6244
4
1.6151
3
1.6289
4
1.6400
4
1.6221
4
  1.6417
4
1.6232
4
  1.6195
1
1.6211
1
1.6322
3
1.6155
3
M06-2X 1.4884
4
1.6401
4
1.6558
4
1.6656
4
1.6385
4
1.6385
4
1.6403
4
1.6277
4
1.6277
4
1.6234
4
1.6240
4
1.6290
4
1.6358
4
1.6232
4
  1.6387
4
1.6246
4
  1.6192
1
1.6212
1
1.6309
3
1.6173
3
PBEPBE 1.5000
4
1.6568
4
1.6776
4
1.6870
4
1.6632
4
1.6632
4
1.6646
4
1.6481
4
1.6481
4
1.6434
4
1.6390
3
1.6500
4
1.6608
4
1.6419
4
  1.6626
4
1.6430
4
  1.6443
1
1.6461
1
1.6573
3
1.6393
3
PBEPBEultrafine   1.6568
4
    1.6631
4
1.6631
4
1.6644
4
1.6480
4
  1.6382
3
1.6390
3
1.6499
4
1.6607
4
1.6418
4
  1.6626
4
1.6430
4
  1.6443
1
1.6461
1
1.6573
3
1.6393
3
PBE1PBE 1.4899
4
1.6481
3
1.6585
4
1.6683
4
1.6425
4
1.6425
4
1.6437
4
1.6279
4
1.6279
4
1.6245
4
1.6155
3
1.6292
4
1.6402
4
1.6222
4
  1.6420
4
1.6233
4
  1.6198
1
1.6215
1
1.6327
3
1.6158
3
HSEh1PBE 1.4892
4
1.6416
4
1.6595
4
1.6696
4
1.6441
4
1.6441
4
1.6454
4
1.6294
4
1.6294
4
1.6260
4
1.6166
3
1.6309
4
1.6418
4
1.6239
4
  1.6437
4
1.6250
4
  1.6211
1
1.6227
1
1.6339
3
1.6170
3
TPSSh 1.4945
4
1.6475
4
1.6663
4
1.6751
4
1.6515
4
1.6515
4
1.6524
4
1.6366
4
1.6366
4
1.6323
4
1.6255
3
1.6370
4
1.6487
4
1.6302
4
1.6287
4
1.6503
4
1.6312
4
1.6287
4
1.6297
1
1.6312
1
1.6431
3
1.6257
3
wB97X-D 1.4865
4
1.6373
4
1.6563
4
1.6652
4
1.6403
4
1.6403
4
1.6417
4
1.6259
4
1.6259
4
1.6232
4
1.6117
3
1.6276
4
1.6378
4
1.6211
4
1.6193
4
1.6400
4
1.6221
4
1.6192
4
1.6161
1
1.6177
1
1.6286
3
1.6125
3
B97D3 1.5329
3
1.6566
3
1.6661
3
1.6807
3
1.6547
3
1.6547
3
1.6570
3
1.6395
3
1.6395
3
1.6343
3
1.6763
4
1.6417
3
1.6515
3
1.6335
3
1.6321
3
1.6539
3
1.6349
3
1.6321
3
1.6393
1
1.6411
1
1.6532
3
1.6394
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 daug-cc-pVDZ daug-cc-pVTZ
Moller Plesset perturbation MP2 1.5448
4
1.6677
4
1.6797
4
1.6958
4
1.6709
4
1.6709
4
1.6741
4
1.6530
4
1.6530
4
1.6533
4
1.6472
3
1.6436
4
1.6580
4
1.6368
4
1.6296
4
1.6654
4
1.6395
4
1.6283
4
1.6411
1
1.6450
1
1.6579
3
1.6329
3
MP2=FULL 1.5430
4
1.6668
4
1.6802
4
1.6912
4
1.6617
4
1.6617
4
1.6647
4
1.6414
4
1.6414
4
1.6383
4
1.6324
3
1.6438
4
1.6576
4
1.6337
4
1.6206
4
1.6648
4
1.6348
4
1.6168
4
1.6382
1
1.6401
1
1.6573
3
1.6277
3
ROMP2 1.5165
1
  1.7066
1
1.7287
1
1.7007
1
1.7007
1
1.7003
1
1.6817
1
1.6817
1
1.6796
1
  1.6661
1
1.6871
1
1.6588
1
  1.6916
1
      1.6437
1
   
MP3         1.6487
4
  1.6481
4
      1.6189
1
1.6366
2
1.6525
2
1.6304
2
        1.6036
1
1.6062
1
   
MP3=FULL   1.6461
2
1.6702
2
1.6809
2
1.6389
4
1.6559
2
1.6418
4
1.6372
2
1.6372
2
1.6370
2
1.6081
1
1.6379
2
1.6522
2
1.6285
2
  1.6585
2
1.6291
2
  1.6023
1
1.6039
1
   
MP4   1.7884
4
    1.7112
4
      1.6886
4
  1.7090
1
1.6920
2
1.7375
2
1.6600
4
  1.7165
2
1.6761
2
  1.6854
1
1.6884
1
   
MP4=FULL   1.8785
2
    1.7257
2
      1.6974
2
  1.6887
1
  1.7342
2
1.6691
2
  1.7149
2
1.6688
2
  1.6800
1
1.6794
1
   
B2PLYP 1.5119
4
1.6608
4
1.6758
4
1.6917
4
1.6627
4
1.6627
4
1.6646
4
1.6470
4
1.6470
4
1.6434
4
1.6388
3
1.6445
4
1.6567
4
1.6366
4
  1.6599
4
1.6384
4
  1.6391
1
1.6419
1
1.6540
3
1.6337
3
B2PLYP=FULL 1.5115
4
1.6605
4
1.6760
4
1.6893
4
1.6588
4
1.6588
4
1.6607
4
1.6425
4
1.6425
4
1.6380
4
1.6332
3
1.6446
4
1.6566
4
1.6358
4
  1.6597
4
1.6370
4
  1.6386
1
1.6404
1
1.6538
3
1.6321
3
B2PLYP=FULLultrafine 1.5115
4
1.6605
4
1.6760
4
1.6893
4
1.6588
4
1.6588
4
1.6607
4
1.6425
4
1.6425
4
1.6380
4
1.6332
3
1.6446
4
1.6565
4
1.6358
4
  1.6597
4
1.6370
4
  1.6386
1
1.6404
1
1.6538
3
1.6321
3
Configuration interaction CID   1.6451
4
1.6567
4
1.6746
4
1.6478
4
    1.6293
4
    1.6130
3
  1.6198
3
1.6006
3
        1.6061
1
1.6083
1
1.6255
3
1.6010
3
CISD   1.6496
4
1.6614
4
1.6791
4
1.6498
4
    1.6315
4
    1.6156
3
  1.6241
3
1.6026
3
        1.6090
1
1.6109
1
1.6287
3
1.6028
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 cc-pV(T+d)Z aug-cc-pV(T+d)Z daug-cc-pVDZ daug-cc-pVTZ
Quadratic configuration interaction QCISD   1.6705
4
1.6852
4
1.7054
4
1.6712
4
1.6700
4
1.6717
4
1.6498
4
1.6498
4
1.6480
4
1.6376
3
1.6405
4
1.6580
4
1.6303
4
  1.6616
4
1.6317
4
  1.6306
1
1.6321
1
1.6534
3
1.6234
3
QCISD(T)         1.6750
4
    1.6559
4
    1.6468
3
1.6462
4
1.6637
4
1.6370
4
  1.6672
4
1.6388
4
  1.6380
1
1.6400
1
1.6605
3
1.6324
3
QCISD(T)=FULL         1.6659
4
  1.6669
4
      1.6333
3
  1.6632
4
1.6346
4
1.6213
4
1.6667
4
1.6348
4
1.6178
4
1.6358
1
1.6363
1
1.6598
3
1.6279
3
QCISD(TQ)         1.6837
1
  1.6818
1
          1.6738
1
1.6455
1
1.6377
1
1.6752
1
1.6462
1
1.6351
1
       
QCISD(TQ)=FULL         1.6741
1
  1.6718
1
          1.6736
1
1.6435
1
  1.6748
1
1.6423
1
         
Coupled Cluster CCD   1.6411
3
1.6498
3
1.6662
3
1.6434
3
1.6414
3
1.6455
3
1.6233
3
1.6233
3
1.6248
3
1.6243
3
1.6170
3
1.6288
3
1.6106
3
  1.6368
3
1.6127
3
  1.6141
1
1.6168
1
1.6361
3
1.6114
3
CCSD         1.6586
4
1.6493
3
1.6531
3
1.6309
3
1.6309
3
1.6391
4
1.6301
3
1.6313
4
1.6467
4
1.6236
4
1.6157
4
1.6520
4
1.6251
4
1.6144
4
1.6197
1
1.6218
1
1.6431
3
1.6164
3
CCSD=FULL         1.6509
4
        1.6261
4
1.6170
3
1.6319
4
1.6464
4
1.6209
4
1.6086
4
1.6517
4
1.6210
4
1.6052
4
1.6177
1
1.6185
1
1.6426
3
1.6151
1
CCSD(T)         1.6710
4
1.6710
4
1.6666
3
1.6519
4
1.6446
3
1.6425
3
1.6435
3
1.6424
4
1.6593
4
1.6338
4
1.6261
4
1.6638
4
1.6358
4
1.6249
4
1.6341
1
1.6365
1
1.6570
3
1.6294
3
CCSD(T)=FULL         1.5886
4
          1.6302
3
1.6433
4
1.6589
4
1.6316
4
1.6187
4
1.6633
4
1.6320
4
1.6152
4
1.6320
1
1.6328
1
1.6565
3
1.6250
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 cc-pV(T+d)Z aug-cc-pV(T+d)Z 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 1.6415
4
  1.6414
4
  1.6403
4
1.6637
4
1.5839
3
  1.6098
4
density functional LSDA             1.6151
3
   
BLYP             1.6468
3
  1.6497
3
B1B95             1.6111
3
  1.6147
3
B3LYP 1.6640
4
  1.6635
4
  1.6638
4
1.6846
4
1.6233
3
  1.6352
4
B3LYPultrafine             1.6233
3
  1.6270
3
B3PW91             1.6167
3
  1.6204
3
mPW1PW91             1.6121
3
  1.6160
3
M06-2X             1.6141
3
  1.6176
3
PBEPBE             1.6368
3
  1.6441
4
PBEPBEultrafine             1.6368
3
  1.6402
3
PBE1PBE             1.6123
3
  1.6164
3
HSEh1PBE             1.6137
3
  1.6177
3
TPSSh             1.6227
3
  1.6261
3
wB97X-D 1.6573
4
  1.6570
4
  1.6570
4
1.6774
4
1.6093
3
  1.6134
3
B97D3             1.6336
3
  1.6358
3
Moller Plesset perturbation MP2 1.6839
4
  1.6847
4
  1.6874
4
1.7079
4
1.6272
3
  1.6379
4
MP2=FULL             1.6241
3
  1.6312
3
MP3             1.5989
3
   
MP3=FULL             1.5967
3
   
MP4             1.6558
3
   
MP4=FULL             1.6511
3
   
B2PLYP             1.6296
3
  1.6339
3
B2PLYP=FULL             1.6287
3
  1.6338
3
B2PLYP=FULLultrafine             1.6287
3
  1.6338
3
Configuration interaction CID             1.5965
3
  1.6002
3
CISD             1.5986
3
  1.6020
3
Quadratic configuration interaction QCISD             1.6195
3
  1.6240
3
QCISD(T)             1.6280
3
  1.6326
3
QCISD(T)=FULL             1.6251
3
  1.6325
3
Coupled Cluster CCD             1.6065
3
  1.6110
3
CCSD             1.6121
3
  1.6164
3
CCSD=FULL             1.6094
3
  1.6162
3
CCSD(T)             1.6247
3
  1.6293
3
CCSD(T)=FULL             1.6219
3
  1.6292
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.