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III.G.1.a.

Comparison of levels of theory for O-O


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 1.1752
11
PM3 1.3090
20
PM6 1.3077
32
composite G2 1.3568
28
G3 1.3514
29
G3B3 1.3861
27
CBS-Q 1.3440
27

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 cc-pCVDZ cc-pCVTZ Sadlej_pVTZ
hartree fock HF 1.4002
28
1.4467
28
1.4470
27
1.4155
27
1.3412
31
1.3577
28
1.3504
30
1.3368
29
1.3434
28
1.3481
28
1.2840
11
1.3354
35
1.3412
29
1.3484
29
1.2661
19
1.2870
25
1.2817
28
1.2373
12
1.2737
1
    1.1640
1
ROHF 1.3049
9
1.4625
16
1.4604
16
1.4179
16
1.3504
18
1.3712
16
1.3700
16
1.3610
16
1.3887
13
1.2306
9
1.1508
1
  1.3648
16
1.3619
16
1.2223
9
1.2468
11
1.2441
11
1.2309
8
       
density functional LSDA 1.4444
27
1.4860
28
1.4867
28
1.4786
26
1.4149
27
1.4171
27
1.4253
27
1.4099
27
1.4105
27
1.3420
25
    1.4083
27
1.4081
27
1.2674
8
1.3478
25
1.3764
12
1.2730
7
       
SVWN   1.4121
22
    1.3358
20
  1.3270
22
                             
BLYP 1.4953
29
1.5340
29
1.5355
30
1.5164
29
1.4578
28
1.4603
29
1.4671
28
1.4876
28
1.4496
28
1.4545
28
    1.4567
30
1.4518
29
  1.3443
9
           
B1B95 1.4488
27
1.5029
28
1.5043
28
1.4769
27
1.4013
26
1.3947
27
1.3907
28
1.3876
27
1.3879
27
1.3890
24
    1.3899
27
1.3862
27
1.2614
8
1.3099
23
1.3083
12
1.2591
8
       
B3LYP 1.4788
29
1.5009
31
1.5052
30
1.4804
29
1.3955
30
1.3977
29
1.4207
30
1.3909
29
1.4277
20
1.3867
28
1.2878
8
1.3789
35
1.4017
29
1.3962
29
1.2906
12
1.3424
25
1.3567
26
1.2887
12
1.1950
1
    1.2123
1
B3LYPultrafine         1.3903
26
  1.2923
7
                             
B3PW91 1.4749
20
1.4969
30
1.4986
30
1.4714
29
1.3847
28
1.3869
29
1.3861
29
1.3796
29
1.4162
20
1.3767
28
    1.3842
30
1.3864
28
  1.3007
9
           
mPW1PW91 1.4794
19
1.4659
29
1.4993
21
1.4637
29
1.3784
28
1.3868
28
1.3794
29
1.3728
29
1.3731
29
1.3703
28
    1.3822
28
1.3709
28
  1.3063
11
1.3839
3
         
M06-2X 1.9774
3
1.9910
3
1.9910
3
1.9822
3
1.3954
24
1.9398
3
1.9406
3
1.9376
3
1.9377
3
1.9342
3
    1.9391
3
1.9345
3
  1.4242
1
1.4239
1
         
PBEPBE 1.4901
21
1.5207
29
1.5630
21
1.5455
20
1.4387
27
1.4317
28
1.4638
27
1.4466
28
1.4413
29
1.4346
28
1.3219
9
  1.4505
28
1.4360
28
1.2910
8
1.7167
3
1.4548
12
1.2979
7
      1.2110
1
PBEPBEultrafine         1.3490
10
  1.2819
2
                             
HSEh1PBE 1.9889
3
1.9955
3
1.9955
3
1.9908
3
1.3973
25
1.9436
3
1.9446
3
1.9413
3
1.9417
3
1.9386
3
    1.9440
3
1.9386
3
  1.4318
1
1.4310
1
         
Moller Plesset perturbation MP2FC 1.5060
17
1.5139
29
1.5161
28
1.5010
27
1.4179
30
1.4178
29
1.4212
31
1.3993
30
1.3998
30
1.4112
27
  1.3875
36
1.4083
30
1.3977
29
1.2520
5
1.3475
24
1.3709
16
1.2503
5
1.2664
1
1.3168
4
1.3100
4
1.2388
1
MP2FU 1.5059
17
1.5171
25
1.5502
20
1.5377
20
1.4164
30
1.4170
29
1.4204
31
1.3980
30
1.4304
21
1.4300
21
    1.4121
28
1.4181
23
1.2844
6
1.3186
12
1.3434
12
1.2636
2
1.2613
1
1.3159
4
1.3079
4
 
ROMP2 1.7219
9
1.7696
9
1.8224
8
1.6846
11
1.6162
11
1.6153
11
1.6155
11
1.5943
11
1.5950
11
1.5950
11
    1.6026
11
1.5963
11
1.3170
6
1.3265
8
1.2990
8
1.3169
3
       
MP3         1.3926
27
                                 
MP4   1.5850
17
1.4887
2
1.4909
2
1.4434
24
1.3406
1
1.3437
1
1.3168
5
1.4517
17
      1.3310
1
1.3458
16
               
B2PLYP 1.9953
3
2.0095
3
2.0095
3
2.0126
3
1.4268
25
1.9586
3
1.4278
25
1.9542
3
1.9548
3
1.9235
3
    1.9594
3
1.9607
3
  1.4606
1
1.4045
1
         
Configuration interaction CID   1.5115
20
1.5123
20
1.4709
21
1.3823
29
1.3238
1
1.3244
1
1.3704
26
        1.3131
1
1.3069
1
               
CISD   1.5027
23
1.5031
23
1.4837
22
1.3863
29
1.3293
1
1.3300
1
1.3943
22
        1.3188
1
1.3106
1
               
Quadratic configuration interaction QCISD 1.4838
2
1.5514
25
1.5812
19
1.5528
19
1.4144
27
1.4449
22
1.4138
27
1.4010
27
1.4089
22
1.4211
19
1.2480
2
  1.4146
27
1.3665
22
  1.3534
5
1.3966
3
         
QCISD(T)   1.4760
1
1.4760
1
  1.4375
26
1.3535
1
1.3757
4
1.3114
5
1.5250
1
  1.2707
2
  1.4388
18
1.4304
18
  1.3026
10
1.3746
2
         
QCISD(TQ)         1.2733
3
                      1.2138
1
         
Coupled Cluster CCD 1.4804
2
1.5314
20
1.5328
20
1.4972
22
1.3977
29
1.4285
21
1.4136
23
1.3867
27
1.4070
19
1.4071
19
1.2347
2
  1.3946
28
1.4048
17
  1.3080
14
1.3662
5
         
CCSD   1.4580
1
1.4580
1
1.4392
1
1.3994
26
1.3442
1
1.3525
4
1.2930
5
1.4700
2
  1.2440
2
  1.5607
8
1.5489
8
  1.2592
2
           
CCSD(T)   1.2943
2
    1.4233
26
1.3302
5
1.3210
6
1.3097
5
1.2848
3
1.2116
1
1.2482
3
  1.4344
20
1.3782
24
1.3129
1
1.3372
16
1.3501
6
    1.2614
3
1.2539
3
 
CCSD(T)=FULL         1.5045
13
              1.5595
8
1.1584
8
  1.3760
5
1.2830
4
    1.2605
3
1.2520
3
 

average calculated bond lengths (Å)
Methods with effective core potentials (select basis sets)
CEP-31G CEP-31G* CEP-121G CEP-121G* LANL2DZ SDD
hartree fock HF 1.4170
27
1.3684
28
1.4152
27
1.3653
28
1.4130
27
1.4129
27
density functional B1B95 1.3828
11
1.3310
11
       
B3LYP 1.4923
28
1.4199
28
1.5047
28
1.4162
28
1.4971
27
1.4902
28
Moller Plesset perturbation MP2FC 1.5106
27
1.4375
28
1.5211
24
1.4340
28
1.5086
27
1.5214
25
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.