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Comparison of levels of theory for O-K


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 2.1892
5
PM6 2.4477
7
composite G2 2.4905
7
G3 2.4706
7
G3B3 2.4426
7
G4 2.4514
7
CBS-Q 2.7027
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
hartree fock HF 2.3254
7
2.4383
7
2.4054
7
2.4698
7
2.4237
7
2.4236
7
2.4615
7
2.4004
7
2.4008
7
2.4074
7
2.3315
5
2.4928
7
 
ROHF   2.6465
2
2.5989
2
2.7088
2
2.6314
2
2.6314
2
2.6742
2
2.6184
2
2.6184
2
    2.7278
2
 
density functional LSDA 2.5105
2
2.3811
3
2.3811
3
2.4736
3
2.4357
3
2.4359
3
2.4198
3
2.3809
3
2.3816
3
2.3968
3
2.1416
1
2.5414
3
 
BLYP 2.4019
7
2.5287
7
2.4307
7
2.5214
7
2.5092
7
2.4360
7
2.4767
7
2.3861
7
2.3864
7
2.4036
7
2.3322
5
2.5296
7
 
B1B95 2.3808
7
  2.1490
2
2.2610
2
2.3222
5
2.2150
1
2.4777
6
2.1515
2
2.1527
2
2.1679
2
2.2989
5
2.4868
7
 
B3LYP 2.3826
7
2.4795
7
2.4052
7
2.4811
7
2.4094
7
2.4094
7
2.4512
7
2.3681
7
2.3684
7
2.3823
7
2.3147
5
2.4984
7
 
B3LYPultrafine   2.5227
3
    2.4089
7
2.4089
7
2.4506
7
2.3674
7
  2.3115
5
2.3147
5
2.4974
7
 
B3PW91 2.3841
7
2.4806
7
2.4067
7
2.4832
7
2.4083
7
2.4084
7
2.4498
7
2.3640
7
2.3644
7
2.3795
7
2.3009
5
2.4992
7
 
mPW1PW91 2.3797
7
2.4633
7
2.3966
7
2.4689
7
2.4006
7
2.4006
7
2.4405
7
2.3585
7
2.3588
7
2.3719
7
2.2966
5
2.4888
7
 
M06-2X 2.3233
7
2.4374
7
2.3873
7
2.4430
7
2.3864
7
2.3864
7
2.4258
7
2.3599
7
2.3603
7
2.3673
7
2.3736
7
2.4723
7
 
PBEPBE 2.4990
6
2.5494
7
2.4432
7
2.5007
7
2.4569
7
2.4570
7
2.4558
7
2.4198
3
2.4206
3
2.4347
3
2.3086
5
2.5094
7
 
PBEPBEultrafine   2.5059
7
    2.4171
7
2.4171
7
2.4552
7
2.3624
7
  2.3123
5
2.3086
5
2.5092
7
 
PBE1PBE 2.3345
7
2.3605
4
2.3924
7
2.4630
7
2.3958
7
2.3958
7
2.4354
7
2.3530
7
2.3534
7
2.3675
7
2.2957
5
2.4819
7
 
HSEh1PBE 2.4238
7
2.4876
7
2.3921
7
2.4626
7
2.3941
7
2.3941
7
2.4338
7
2.3523
7
2.3526
7
2.3662
7
2.2969
5
2.4814
7
 
TPSSh 2.3146
5
2.4794
7
2.4030
7
2.4796
7
2.4083
7
2.4084
7
2.4457
7
2.3605
7
2.2827
5
2.4665
7
2.2989
5
2.4947
7
 
wB97X-D 2.3008
5
2.3784
5
2.4802
7
2.3752
5
2.4878
7
2.3312
5
2.5245
7
2.2893
5
2.4581
7
2.3067
5
2.3138
5
2.5551
7
2.9053
2
B97D3 2.3770
4
2.6020
7
2.3610
5
2.4279
5
2.5083
7
2.3631
5
2.5428
7
2.3052
5
2.4663
7
2.3261
5
2.4831
7
2.4489
5
 
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
Moller Plesset perturbation MP2 2.3371
7
2.5704
7
2.4910
6
2.5112
7
2.5124
7
2.4197
7
2.4686
7
2.4787
7
2.3839
7
2.3775
7
2.3258
5
2.5817
7
 
MP2=FULL 2.3318
7
2.4959
7
2.4320
7
2.5111
7
2.4188
7
2.4189
7
2.4675
7
2.3810
7
2.3817
7
2.3753
7
2.3222
5
2.5206
7
 
ROMP2 2.1636
1
  3.0388
1
3.1576
1
2.6003
2
2.6003
2
2.6491
2
2.5730
2
2.5730
2
2.5583
2
  3.2196
1
 
MP3         2.4729
3
  2.5244
3
      2.2151
1
2.7229
3
 
MP3=FULL   2.2381
1
2.1693
1
2.2721
1
2.4718
3
2.2208
1
2.5232
3
2.1847
1
2.1893
1
2.1748
1
2.2120
1
2.5967
3
 
MP4   2.6026
3
    2.4759
3
      2.4473
3
  2.2227
1
2.7344
3
 
MP4=FULL   2.5454
3
    2.4748
3
      2.4445
3
  2.2190
1
   
B2PLYP 2.3640
6
2.5011
7
2.4382
7
2.4877
7
2.4105
7
2.4105
7
2.4545
7
2.3729
7
2.3733
7
2.3796
7
2.3201
5
2.5359
7
 
B2PLYP=FULL 2.3351
7
2.4828
7
2.4114
7
2.4877
7
2.4102
7
2.4103
7
2.4542
7
2.3723
7
2.3727
7
2.3790
7
2.3191
5
2.5014
7
 
B2PLYP=FULLultrafine 2.3069
5
2.4166
5
2.3458
5
2.4041
5
2.3416
5
2.3417
5
2.3823
5
2.3000
5
2.3006
5
2.3098
5
2.3190
5
2.4199
5
 
Configuration interaction CID   2.5338
7
2.4670
6
2.4936
7
2.4116
7
    2.3818
7
    2.3150
5
   
CISD   2.5427
7
2.4713
6
2.4978
7
2.4123
7
    2.3821
7
    2.3154
5
   
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
Quadratic configuration interaction QCISD   2.5940
3
2.4919
6
2.5859
3
2.4205
7
2.4205
7
2.4638
7
2.3898
7
2.3904
7
2.3791
7
2.3289
5
2.5830
7
 
QCISD(T)         2.4187
7
    2.3128
5
    2.3296
5
2.5944
7
 
QCISD(T)=FULL         2.4179
7
  2.4638
7
      2.3266
5
   
QCISD(TQ)         2.5980
2
  2.6498
2
           
QCISD(TQ)=FULL         2.5966
2
  2.2703
1
           
Coupled Cluster CCD   2.5468
7
2.4754
6
2.4994
7
2.4133
7
2.4133
7
2.4577
7
2.3840
7
2.3847
7
2.3757
7
2.3234
5
2.5687
7
 
CCSD         2.4164
7
2.3727
4
2.4099
4
2.3400
4
2.3400
4
2.3022
5
2.3260
5
2.5781
7
 
CCSD=FULL         2.4156
7
        2.3001
5
2.3228
5
2.5137
7
 
CCSD(T)         2.4188
7
2.3468
5
2.3901
5
2.3119
5
2.3127
5
2.3048
5
2.3288
5
2.5944
7
 
CCSD(T)=FULL         2.4180
7
          2.3258
5
2.5190
7
 
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

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 2.4601
7
  2.4592
7
  2.4889
7
2.4753
7
    2.5037
7
density functional LSDA                 2.1697
1
BLYP                 2.3588
5
B1B95                 2.3206
5
B3LYP 2.4863
7
  2.4870
7
  2.4874
7
2.4763
7
    2.4956
7
B3LYPultrafine                 2.3382
5
B3PW91                 2.3268
5
mPW1PW91                 2.3214
5
M06-2X                 2.3263
5
PBEPBE                 2.4932
7
PBEPBEultrafine                 2.3366
5
PBE1PBE                 2.3196
5
HSEh1PBE                 2.3202
5
TPSSh                 2.3251
5
wB97X-D 2.3762
5
  2.3778
5
  2.3867
5
2.3859
5
    2.3351
5
B97D3                 2.3538
5
Moller Plesset perturbation MP2 2.5016
7
  2.5008
7
  2.5460
7
2.5391
7
    2.5998
7
MP2=FULL                 2.3470
5
MP3                 2.3194
1
MP3=FULL                 2.2324
1
MP4                 2.3335
1
MP4=FULL                 2.2372
1
B2PLYP                 2.2619
1
B2PLYP=FULL                 2.3424
5
B2PLYP=FULLultrafine                 2.3423
5
Configuration interaction CID                 2.3782
5
CISD                 2.3813
5
Quadratic configuration interaction QCISD                 2.4074
5
QCISD(T)                 2.4201
5
QCISD(T)=FULL                 2.3497
5
Coupled Cluster CCD                 2.3957
5
CCSD                 2.4035
5
CCSD=FULL                 2.3451
5
CCSD(T)                 2.4193
5
CCSD(T)=FULL                 2.3486
5
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.