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III.G.1.a.

Comparison of levels of theory for F-B


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 1.2317
8
PM6 1.3348
25
composite G2 1.3411
25
G3 1.3412
25
G3B3 1.3563
25
CBS-Q 1.3546
20

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-pCVDZ cc-pCVTZ
hartree fock HF 1.3432
25
1.3649
25
1.3649
25
1.3801
25
1.3413
25
1.3412
25
1.3249
25
1.3372
25
1.3372
25
1.3305
25
1.2910
10
1.3239
22
1.3486
25
1.3291
25
1.3190
14
1.3357
21
1.3149
25
1.3044
9
1.2985
4
1.2825
4
ROHF 1.3589
6
1.3903
9
1.3903
9
1.4058
9
1.3691
9
1.3691
9
1.3320
9
1.3642
9
1.3642
9
1.3400
6
    1.3753
9
1.3532
9
1.3405
9
1.3398
9
1.3224
9
1.3347
6
   
density functional LSDA 1.3677
23
1.3687
23
1.3687
23
1.3814
23
1.3502
23
1.3502
23
1.3421
23
1.3492
23
1.3492
23
1.3409
23
    1.3557
23
1.3447
23
1.3235
6
1.3479
23
1.3396
9
1.3114
6
   
SVWN   1.3517
16
    1.3268
15
  1.3322
16
                         
BLYP 1.3852
25
1.3864
25
1.3864
25
1.4022
25
1.3694
25
1.3691
25
1.3593
25
1.3679
25
1.3679
25
1.3582
25
    1.3741
25
1.3631
25
  1.3406
10
       
B1B95 1.3549
21
1.3643
21
1.3643
21
1.3780
21
1.3420
21
1.3427
21
1.3271
21
1.3393
21
1.3394
21
1.3329
21
    1.3481
21
1.3325
21
1.3307
8
1.3326
21
1.3292
8
1.2858
5
   
B3LYP 1.3696
25
1.3752
25
1.3752
25
1.3900
25
1.3563
25
1.3563
25
1.3454
25
1.3543
25
1.3811
15
1.3460
25
1.3097
10
1.3445
22
1.3618
25
1.3494
25
1.3476
12
1.3545
21
1.3394
21
1.3216
12
1.3129
4
1.3140
3
B3LYPultrafine         1.3563
25
  1.3253
2
                         
B3PW91 1.3978
15
1.3754
25
1.3754
25
1.3899
25
1.3554
25
1.3557
25
1.3434
25
1.3531
25
1.3798
15
1.3455
25
    1.3614
25
1.3477
25
  1.3267
10
       
mPW1PW91 1.3940
15
1.3726
25
1.3896
16
1.3868
25
1.3528
25
1.3528
25
1.3402
25
1.3500
25
1.3501
25
1.3427
25
    1.3586
25
1.3499
21
  1.3435
13
1.3978
3
     
M06-2X         1.3481
19
                             
PBEPBE 1.4106
15
1.3843
25
1.4067
15
1.4253
15
1.3658
25
1.3658
25
1.3553
25
1.3704
21
1.3642
25
1.3557
25
1.3194
10
  1.3717
25
1.3589
25
1.3321
8
1.4197
3
1.3477
9
1.3115
8
   
PBEPBEultrafine         1.3251
10
                             
HSEh1PBE         1.3367
16
                             
Moller Plesset perturbation MP2FC 1.3847
15
1.3812
25
1.3812
25
1.4064
25
1.3626
25
1.3629
25
1.3514
25
1.3545
25
1.3544
25
1.3604
12
  1.3451
22
1.3676
25
1.3457
19
1.3437
6
1.3653
21
1.3359
6
1.3296
6
1.3180
4
1.3023
4
MP2FU 1.3846
15
1.3861
21
1.3983
16
1.4269
16
1.3605
25
1.3669
21
1.3526
21
1.3539
25
1.3802
15
1.3763
9
    1.3730
21
1.3671
10
1.3402
6
1.3636
9
1.4002
3
1.3385
5
1.3171
4
1.3002
4
ROMP2 1.3906
9
1.4112
9
1.4112
9
1.4414
9
1.3950
9
1.3950
9
1.3607
9
1.3861
9
1.3861
9
1.3780
9
    1.3992
9
1.3644
6
1.3551
6
1.3733
9
1.3199
3
     
MP3         1.3566
25
                             
MP4   1.4027
16
    1.3702
22
      1.3843
15
        1.3479
19
           
B2PLYP         1.3408
16
  1.3418
16
                         
Configuration interaction CID   1.3916
16
1.3916
16
1.4166
16
1.3518
25
    1.3520
20
                       
CISD   1.3931
16
1.3931
16
1.4183
16
1.3527
25
    1.3635
16
                       
Quadratic configuration interaction QCISD   1.3819
25
1.3992
16
1.4276
16
1.3615
25
1.3818
16
1.3570
18
1.3529
25
1.3590
21
1.3802
9
    1.3532
11
1.3346
9
  1.4242
3
1.4008
3
     
QCISD(T)         1.3689
22
    1.3224
4
        1.3875
11
1.3649
5
  1.3334
8
1.2685
2
     
Coupled Cluster CCD   1.3955
16
1.3955
16
1.4230
16
1.3582
25
1.3785
16
1.3564
16
1.3586
20
1.3757
15
1.3777
9
    1.3655
14
1.3590
5
  1.3512
11
1.3430
5
  1.3144
4
1.2970
4
CCSD         1.3705
19
              1.4266
3
1.4051
3
           
CCSD(T)   1.3200
1
    1.3616
16
1.3272
6
1.2908
1
1.3217
4
1.2735
1
  1.2665
1
  1.3687
15
1.3368
9
1.3583
5
1.3521
15
1.3269
9
1.2581
2
1.3189
4
1.3017
4
CCSD(T)=FULL         1.3529
9
              1.3681
7
1.3434
7
1.2856
2
1.3837
6
1.3497
6
1.2534
2
1.3180
4
1.2997
4

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 1.3658
22
1.3319
22
1.3636
22
1.3390
25
1.3839
25
1.3907
22
density functional B1B95 1.3484
10
1.3190
10
       
B3LYP 1.3929
25
1.3547
25
1.3917
25
1.3538
25
1.3968
25
1.3967
25
Moller Plesset perturbation MP2FC 1.4103
25
1.3621
25
1.4068
25
1.3609
25
1.4172
25
1.4169
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.