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III.G.1.a.

Comparison of levels of theory for F-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 1.2663
3
PM3 1.3753
9
PM6 1.4396
9
composite G2 1.3532
7
G3 1.5478
9
G3B3 1.4199
9
CBS-Q 1.5162
9

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
hartree fock HF 1.4424
9
1.6543
8
1.6543
8
1.6827
7
1.5330
9
1.3528
8
1.5709
9
1.5665
8
1.5382
9
1.3368
8
1.6563
6
1.5793
9
1.5223
9
1.3396
8
1.3380
7
1.3452
8
1.5899
9
1.3384
5
ROHF   1.4130
1
1.4130
1
  1.3249
1
1.3249
1
1.3270
1
1.3100
1
        1.3218
1
1.3125
1
       
density functional LSDA 1.4506
7
1.4736
7
1.4736
7
1.4612
6
1.3909
6
1.3909
6
1.3968
6
1.3925
6
1.3927
6
1.3779
6
    1.3921
6
1.3871
6
  1.3895
6
   
SVWN   1.4656
9
    1.4110
8
  1.4110
9
                     
BLYP 1.5739
9
1.5035
9
1.5035
9
1.5186
9
1.4552
9
1.4553
9
1.4414
8
1.4374
8
1.4643
9
1.4434
9
    1.4604
9
1.4571
9
  1.4760
6
   
B1B95 1.3961
9
1.4639
9
1.4639
9
1.4978
9
1.4007
9
1.4035
9
1.4126
9
1.4287
9
1.4288
9
1.3910
9
    1.4110
9
1.3980
9
1.3551
2
1.4071
9
1.3689
3
1.3507
2
B3LYP 1.5842
9
1.4744
9
1.4745
9
1.5081
9
1.4198
9
1.4200
9
1.4306
9
1.4436
9
1.3975
3
1.4072
9
1.4324
6
1.4306
9
1.4017
8
1.3960
8
1.3899
5
1.4261
8
1.4216
8
1.3879
5
B3LYPultrafine         1.4198
9
  1.4739
4
                     
B3PW91 1.3930
3
1.4681
9
1.4681
9
1.4975
9
1.4084
9
1.4083
9
1.4160
9
1.4272
9
1.3840
3
1.3959
9
    1.4141
9
1.3831
8
  1.4255
6
   
mPW1PW91 1.3869
3
1.4617
9
1.4514
3
1.5029
9
1.4005
9
1.3826
8
1.4103
9
1.4325
9
1.4330
9
1.3881
9
    1.3832
8
1.3993
8
  1.4221
6
   
M06-2X         1.3858
9
                         
PBEPBE 1.4134
3
1.4915
9
1.4793
3
1.4801
3
1.4359
9
1.4359
9
1.4462
9
1.4430
9
1.4432
9
1.4242
9
1.4490
6
  1.4248
7
1.4355
9
1.3873
2
  1.4126
4
1.3820
2
PBEPBEultrafine         1.4482
6
  1.4550
1
                     
HSEh1PBE         1.4014
9
                         
Moller Plesset perturbation MP2FC 1.3647
3
1.4693
9
1.4520
9
1.4832
9
1.5540
9
1.4189
9
1.4070
9
1.3848
9
1.5343
9
1.3691
5
  1.5300
9
1.3955
9
1.3796
8
1.3352
3
1.3973
7
1.3603
4
1.3336
3
MP2FU 1.3647
3
1.4533
7
1.4382
3
1.4490
3
1.4214
9
1.4003
9
1.4243
9
1.3840
9
1.3700
3
1.3647
3
    1.3933
7
1.3641
3
1.3338
3
1.4655
8
  1.3334
2
MP3         1.5399
9
                         
MP4   1.4568
3
    1.4325
8
    1.4701
2
1.3972
3
        1.5587
8
       
B2PLYP         1.4142
9
  1.4216
9
                     
Configuration interaction CID   1.4361
3
1.4361
3
1.4357
3
1.3975
9
    1.3560
5
                   
CISD   1.4694
4
1.4611
3
1.4618
3
1.3871
9
1.4255
1
  1.3610
3
                   
Quadratic configuration interaction QCISD   1.5059
9
1.4887
3
1.5059
3
1.4190
7
1.4204
3
1.4464
8
1.3981
7
1.4023
6
1.3800
2
    1.4369
8
1.4090
7
       
QCISD(T)         1.3958
7
    1.4042
2
        1.4018
2
1.3859
2
  1.4093
2
1.3882
2
 
Coupled Cluster CCD   1.4476
3
1.4476
3
1.4516
3
1.4133
9
1.3863
3
1.3892
3
1.3789
4
1.3484
2
1.3424
2
    1.4223
7
1.3439
2
  1.3576
2
1.3417
2
 
CCSD         1.4214
8
    1.3866
2
                   
CCSD(T)   1.5260
1
    1.4424
8
1.4274
4
1.4691
1
1.4005
2
1.4442
1
  1.3501
1
  1.4064
4
1.4181
7
1.3764
2
1.4113
4
1.3907
4
1.3753
2
CCSD(T)=FULL         1.4010
2
                  1.3742
2
    1.3726
2

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 2.1964
7
1.3564
8
2.1961
7
1.3556
8
2.1639
7
2.1664
7
density functional B1B95 1.5192
6
1.4214
6
       
B3LYP 1.4593
8
1.4101
8
1.4599
8
1.4093
8
1.4613
8
1.4615
8
Moller Plesset perturbation MP2FC 1.4727
8
1.4111
8
1.4709
8
1.4097
8
1.4756
8
1.4756
8
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.