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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 1.2500
14
PM3 1.3623
28
PM6 1.3344
32
composite G2 1.3496
24
G3 1.3460
25
G3B3 1.3427
30
G4 1.3396
38
CBS-Q 1.3592
21

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) 6-311+G(3df,2pd) TZVP cc-pVDZ cc-pVTZ cc-pVQZ aug-cc-pVDZ aug-cc-pVTZ aug-cc-pVQZ cc-pCVDZ cc-pCVTZ aug-cc-pCVTZ daug-cc-pVDZ daug-cc-pVTZ
hartree fock HF 1.3460
33
1.3702
33
1.3705
33
1.3950
33
1.3411
38
1.3475
33
1.3415
31
1.3480
33
1.3480
33
1.3409
33
1.3109
17
1.2796
4
1.3283
35
1.3570
33
1.3380
33
1.3373
17
1.3512
29
1.3300
33
1.3297
15
1.2985
4
1.2825
4
1.2480
1
1.3787
4
1.3178
44
ROHF 1.4022
3
1.3932
14
1.3932
14
1.4349
14
1.3725
14
1.3725
14
1.3512
14
1.3781
14
1.3781
14
1.3970
3
1.3608
5
  1.3404
8
1.3830
14
1.3595
14
1.3636
11
1.3571
14
1.3394
14
1.3675
8
      1.4142
3
1.3990
3
density functional LSDA 1.3616
31
1.3650
31
1.3650
31
1.3775
31
1.3452
31
1.3452
31
1.3404
31
1.3442
31
1.3442
31
1.3359
31
1.2945
6
1.2925
4
1.3178
15
1.3511
31
1.3404
31
1.3137
7
1.3466
31
1.3275
21
1.3034
7
1.3158
3
1.2952
4
1.2588
1
   
BLYP 1.3782
33
1.3829
33
1.3831
33
1.3974
33
1.3628
46
1.3641
33
1.3608
33
1.3641
33
1.3641
33
1.3538
33
1.3195
11
1.3122
4
1.3373
17
1.3701
33
1.3605
33
1.3133
4
1.3500
20
1.3370
14
1.3137
4
1.3354
3
1.3140
4
1.2766
1
1.3312
4
1.3173
4
B1B95 1.3555
29
1.3633
29
1.3633
29
1.3836
29
1.3403
29
1.3408
29
1.3334
29
1.3391
29
1.3391
29
1.3318
29
1.3016
11
1.2944
4
1.3193
17
1.3474
29
1.3340
29
1.3338
7
1.3356
26
1.3302
20
1.2959
4
1.3188
3
1.2966
4
1.2624
1
1.2861
1
1.2632
1
B3LYP 1.3676
32
1.3745
32
1.3747
32
1.3887
32
1.3548
32
1.3548
32
1.3499
32
1.3541
32
1.3678
23
1.3451
32
1.3126
16
1.2990
4
1.3415
34
1.3611
32
1.3504
32
1.3494
14
1.3596
28
1.3458
28
1.3314
14
1.3231
3
1.3012
4
1.2643
1
1.3264
3
1.3145
3
B3LYPultrafine 1.3182
4
1.3500
14
1.3323
4
1.3427
4
1.3548
32
1.3251
14
1.3301
14
1.3238
14
1.3037
4
1.3034
11
1.3054
11
1.2990
4
1.3247
17
1.3328
17
1.3218
19
1.3003
4
1.3378
17
1.3384
37
1.3006
4
1.3231
3
1.3012
4
1.2643
1
1.3264
3
1.3145
3
B3PW91 1.3759
24
1.3726
33
1.3728
33
1.3867
33
1.3515
33
1.3517
33
1.3458
33
1.3503
33
1.3624
24
1.3422
33
1.3070
11
1.2976
4
1.3226
17
1.3583
33
1.3460
33
1.2990
4
1.3356
20
1.3213
14
1.2992
4
1.3223
3
1.3000
4
1.2646
1
1.3161
4
1.3005
4
mPW1PW91 1.3781
24
1.3703
33
1.3810
24
1.3906
33
1.3492
33
1.3492
33
1.3431
33
1.3479
33
1.3479
33
1.3399
33
1.3024
11
1.2948
4
1.3204
17
1.3561
33
1.3473
29
1.2964
4
1.3432
26
1.3315
20
1.2966
4
1.3198
3
1.2973
4
1.2621
1
1.3209
4
1.3010
4
M06-2X 1.3407
17
1.3569
17
1.3638
46
1.3749
17
1.3462
32
1.3339
17
1.3379
17
1.3348
17
1.3348
17
1.3267
17
1.3322
35
1.2943
4
1.3309
17
1.3428
17
1.3303
17
1.2957
4
1.3462
17
1.3310
17
1.2959
4
  1.2606
1
1.2618
1
1.3681
4
1.3525
4
PBEPBE 1.3864
24
1.3808
33
1.3865
27
1.4068
24
1.3611
33
1.3611
33
1.3569
33
1.3646
29
1.3607
33
1.3516
33
1.3213
21
1.3091
4
1.3337
17
1.3678
33
1.3566
33
1.3332
7
1.3617
17
1.3421
22
1.3180
7
1.3332
3
1.3111
4
1.2754
1
1.3291
4
1.3140
4
PBEPBEultrafine 1.3298
4
1.3595
14
1.3418
4
1.3531
4
1.3356
22
1.3353
14
1.3406
14
1.3344
14
1.3142
4
1.3139
11
1.3161
11
1.3092
4
1.3337
17
1.3419
17
1.3309
17
1.3105
4
1.3471
17
1.3323
17
1.3108
4
1.3332
3
1.3111
4
1.2754
1
1.3390
3
1.3265
3
PBE1PBE 1.3429
17
1.3506
17
1.3506
17
1.3744
17
1.3311
32
1.3229
17
1.3266
17
1.3213
17
1.3213
17
1.3144
17
1.3024
11
1.2950
4
1.3207
17
1.3310
17
1.3188
17
1.2966
4
1.3361
17
1.3199
17
1.2968
4
1.3201
3
1.2974
4
1.2621
1
1.3197
4
1.3009
4
HSEh1PBE 1.3433
17
1.3582
29
1.3523
17
1.3750
17
1.3333
29
1.3233
17
1.3350
29
1.3217
17
1.3217
17
1.3146
17
1.3026
11
1.2954
4
1.3213
17
1.3313
17
1.3282
29
1.2969
4
1.3364
17
1.3203
17
1.2971
4
1.3204
3
1.2978
4
1.2623
1
1.3195
4
1.3007
4
TPSSh 1.3429
10
1.3616
13
1.3622
13
1.3739
13
1.3516
37
1.3334
13
1.3468
37
1.3314
13
1.3355
10
1.3588
34
1.3125
7
  1.3309
13
1.3407
13
1.3458
37
1.3139
5
1.3473
13
1.3315
13
1.3140
5
  1.2692
1
1.2704
1
1.3303
3
1.3171
3
wB97X-D 1.3472
11
1.3559
11
1.3727
46
1.3918
11
1.3523
46
1.3276
11
1.3493
46
1.3291
11
1.3519
46
1.3184
11
1.3041
8
  1.3463
46
1.3506
46
1.3465
46
1.3046
6
1.3505
11
1.3427
46
1.3044
6
  1.2633
1
1.2642
1
1.3438
4
1.3058
4
B97D3 1.3519
10
1.3860
45
1.3701
10
1.3823
10
1.3660
45
1.3434
10
1.3606
45
1.3425
10
1.3644
45
1.3337
10
1.3505
45
  1.3494
45
1.3514
10
1.3604
45
1.3226
5
1.3574
10
1.3433
45
1.3226
5
  1.2768
1
1.2782
1
1.3402
3
1.3399
30
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) 6-311+G(3df,2pd) TZVP cc-pVDZ cc-pVTZ cc-pVQZ aug-cc-pVDZ aug-cc-pVTZ aug-cc-pVQZ cc-pCVDZ cc-pCVTZ aug-cc-pCVTZ daug-cc-pVDZ daug-cc-pVTZ
Moller Plesset perturbation MP2 1.3703
24
1.3854
33
1.3856
33
1.4164
33
1.3549
46
1.3674
33
1.3633
33
1.3496
46
1.3616
33
1.3589
23
1.3319
11
1.2989
4
1.3483
35
1.3737
33
1.3508
30
1.3539
12
1.3773
29
1.3509
20
1.3531
12
1.3180
4
1.3023
4
1.2702
1
1.4001
4
1.3712
4
MP2=FULL 1.3647
27
1.3895
29
1.3926
27
1.4259
27
1.3652
33
1.3704
29
1.3654
29
1.3611
33
1.3764
24
1.3558
24
1.3289
11
1.2965
4
1.3410
17
1.3782
29
1.3548
24
1.3499
12
1.3705
22
1.3436
23
1.3486
12
1.3171
4
1.3002
4
1.2679
1
1.3969
4
1.3609
4
ROMP2 1.3843
14
1.4090
14
1.4090
14
1.4531
14
1.3917
14
1.3917
14
1.3728
14
1.3868
14
1.3868
14
1.3799
14
1.3669
5
  1.3566
8
1.3991
14
1.3688
11
1.3947
3
1.3841
14
          1.4316
3
1.4047
3
MP3 1.3042
4
1.3331
4
1.3331
4
1.3514
4
1.3641
31
1.3071
4
1.3607
32
1.2973
4
1.2973
4
1.2918
4
1.3264
9
1.2909
4
1.3363
15
1.3530
15
1.3331
15
1.2921
4
1.3217
4
1.2972
4
1.2577
1
1.3210
3
1.2944
4
1.2625
1
1.4189
3
1.3912
3
MP3=FULL   1.3910
8
1.3910
8
1.4369
8
1.3531
36
1.3686
8
1.3478
36
1.3669
8
1.3664
8
1.3698
8
1.3514
5
  1.3491
11
1.3669
11
1.3426
11
  1.3850
8
1.3537
8
    1.2574
1
1.2601
1
1.4157
3
1.3801
3
MP4 1.3136
4
1.3962
27
1.3413
4
1.3624
4
1.3696
33
1.3154
4
1.3205
4
1.3073
4
1.3724
27
1.3003
4
1.3377
9
1.3015
4
1.3475
15
1.3627
15
1.3513
30
1.3026
4
1.3730
15
1.3467
15
1.3037
4
1.3295
3
1.3044
4
1.2764
1
1.4328
3
1.4037
3
MP4=FULL 1.3136
4
1.3782
15
1.3412
4
1.3622
4
1.3520
15
1.3134
4
1.3184
4
1.3065
4
1.3487
15
1.2933
4
1.3345
9
1.2990
4
1.3074
4
1.3618
15
1.3387
15
1.2992
4
1.3711
15
1.3402
15
1.2997
4
1.3287
3
1.3024
4
1.2738
1
1.4293
3
1.3910
3
B2PLYP 1.3469
14
1.3698
14
1.3703
14
1.3961
14
1.3479
25
1.3445
14
1.3513
14
1.3460
14
1.3459
14
1.3359
14
1.3324
8
1.2609
1
1.3423
14
1.3546
14
1.3624
35
1.2621
1
1.3609
14
1.3414
14
1.2627
1
  1.2639
1
1.2660
1
1.3808
4
1.3574
4
B2PLYP=FULL 1.3469
14
1.3698
14
1.3703
14
1.3960
14
1.3438
14
1.3438
14
1.3506
14
1.3457
14
1.3456
14
1.3342
14
1.3314
8
1.2600
1
1.3419
14
1.3544
14
1.3384
14
1.2610
1
1.3603
14
1.3395
14
1.2614
1
  1.2632
1
1.2653
1
1.3798
4
1.3539
4
B2PLYP=FULLultrafine 1.3526
10
1.3777
10
1.3784
10
1.4084
10
1.3546
36
1.3543
10
1.3627
10
1.3591
10
1.3590
10
1.3457
10
1.3416
7
  1.3538
10
1.3625
36
1.3463
36
  1.3721
10
1.3375
36
    1.2632
1
1.2973
3
1.4091
3
1.3836
3
Configuration interaction CID 1.3052
4
1.3861
27
1.3863
27
1.4159
27
1.3567
33
1.3036
4
1.3064
4
1.3530
31
1.2944
4
1.2880
4
1.3179
11
1.2865
4
1.2950
4
1.3430
11
1.3209
11
1.2875
4
1.3167
4
1.2924
4
1.2562
1
1.3168
3
1.2902
4
1.2610
1
1.3852
4
1.3562
4
CISD 1.3080
4
1.3873
27
1.3875
27
1.4174
27
1.3573
33
1.3045
4
1.3074
4
1.3601
27
1.2954
4
1.2887
4
1.3184
11
1.2873
4
1.2960
4
1.3438
11
1.3213
11
1.2882
4
1.3178
4
1.2932
4
1.2576
1
1.3176
3
1.2909
4
1.2625
1
1.3857
4
1.3564
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) 6-311+G(3df,2pd) TZVP cc-pVDZ cc-pVTZ cc-pVQZ aug-cc-pVDZ aug-cc-pVTZ aug-cc-pVQZ cc-pCVDZ cc-pCVTZ aug-cc-pCVTZ daug-cc-pVDZ daug-cc-pVTZ
Quadratic configuration interaction QCISD 1.3107
4
1.3856
33
1.3928
27
1.4261
27
1.3650
33
1.3798
24
1.3684
26
1.3588
33
1.3640
29
1.3523
24
1.3237
11
1.2964
4
1.3368
17
1.3623
22
1.3438
20
1.2972
4
1.3717
20
1.3450
20
1.2662
1
1.3260
3
1.2996
4
1.2713
1
1.3894
4
1.3561
4
QCISD(T) 1.3134
4
1.3401
4
1.3401
4
1.3603
4
1.3613
38
1.3136
4
1.3180
4
1.3399
18
1.3055
4
1.2986
4
1.3263
11
1.2991
4
1.3393
17
1.3683
28
1.3421
22
1.3002
4
1.3550
25
1.3309
19
1.3011
4
1.3276
3
1.3022
4
1.2745
1
1.3914
4
1.3587
4
QCISD(T)=FULL         1.3607
10
  1.3679
10
      1.3385
7
    1.3719
10
1.3461
10
1.3479
5
1.3798
10
1.3471
10
1.3481
5
  1.2682
1
1.2720
1
1.4149
3
1.3750
3
QCISD(TQ) 1.3106
4
1.3387
4
1.3387
4
1.3585
4
1.3151
6
1.3124
4
1.3164
4
1.3041
4
1.3041
4
1.2973
4
1.3000
6
1.2976
4
1.3049
4
1.3189
4
1.3016
4
1.2661
1
1.3329
6
1.3042
4
  1.3266
3
1.3115
3
     
QCISD(TQ)=FULL                     1.3022
2
          1.3849
5
             
Coupled Cluster CCD 1.3065
4
1.3925
26
1.3927
26
1.4244
26
1.3655
32
1.3751
26
1.3671
26
1.3622
30
1.3653
27
1.3514
24
1.3247
11
1.2936
4
1.3358
17
1.3711
24
1.3429
20
1.2946
4
1.3649
23
1.3440
20
1.2629
1
1.3229
3
1.2970
4
1.2679
1
1.4224
3
1.3946
3
CCSD 1.3086
4
1.3371
4
1.3371
4
1.3571
4
1.3645
32
1.3442
9
1.3497
9
1.3402
9
1.3402
9
1.3344
14
1.3240
11
1.2951
4
1.3364
17
1.3643
20
1.3435
20
1.3276
9
1.3614
17
1.3348
17
1.2907
3
1.3247
3
1.2985
4
1.2696
1
1.3901
4
1.2704
1
CCSD=FULL 1.3086
4
1.3370
4
1.3370
4
1.3569
4
1.3429
17
1.3091
4
1.3127
4
1.3013
4
1.3013
4
1.3373
14
1.3210
11
1.2927
4
1.3352
17
1.3524
17
1.3282
17
1.3232
9
1.3595
17
1.3288
17
1.2865
3
1.3238
3
1.2964
4
1.2670
1
1.3870
4
1.3483
4
CCSD(T) 1.3122
4
1.3396
4
1.3395
4
1.3596
4
1.3547
34
1.3422
20
1.3550
14
1.3395
18
1.3443
14
1.3359
14
1.3263
11
1.2986
4
1.3390
17
1.3677
28
1.3418
22
1.3401
14
1.3628
28
1.3394
22
1.3175
11
1.3189
4
1.3017
4
1.2737
1
1.3917
4
1.3599
4
CCSD(T)=FULL 1.3122
4
1.3394
4
1.3394
4
1.3593
4
1.3536
22
1.3111
4
1.3152
4
1.3040
4
1.3040
4
1.2912
4
1.3234
11
1.2961
4
1.3377
17
1.3664
20
1.3418
20
1.3183
11
1.3731
20
1.3356
17
1.2875
8
1.3180
4
1.2997
4
1.2712
1
1.3885
4
1.3491
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) 6-311+G(3df,2pd) TZVP cc-pVDZ cc-pVTZ cc-pVQZ aug-cc-pVDZ aug-cc-pVTZ aug-cc-pVQZ cc-pCVDZ cc-pCVTZ aug-cc-pCVTZ 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 1.3971
30
1.3431
30
1.3941
30
1.3480
33
1.4062
33
1.4061
33
    1.3385
46
ROHF                 1.3990
3
density functional LSDA 1.3502
4
1.3203
4
1.3476
4
1.3178
4
1.3433
4
1.3427
4
     
BLYP 1.3573
4
1.3265
4
1.3552
4
1.3245
4
1.3637
4
1.3638
4
    1.3207
6
B1B95 1.3484
10
1.3190
10
1.3361
4
1.3069
4
1.3462
4
1.3461
4
    1.3026
6
B3LYP 1.4037
32
1.3556
32
1.4026
32
1.3551
32
1.4059
32
1.4058
32
    1.3482
45
B3LYPultrafine 1.3452
4
1.3152
4
1.3428
4
1.3131
4
1.3506
4
1.3505
4
    1.3145
5
B3PW91 1.3432
4
1.3130
4
1.3407
4
1.3110
4
1.3498
4
1.3497
4
    1.2971
3
mPW1PW91 1.3402
4
1.3100
4
1.3376
4
1.3080
4
1.3471
4
1.3470
4
    1.3041
6
M06-2X 1.3343
4
1.3062
4
1.3317
4
1.3034
4
1.3462
4
1.3462
4
    1.3362
6
PBEPBE 1.3548
4
1.3237
4
1.3523
4
1.3215
4
1.3616
4
1.3615
4
    1.3547
46
PBEPBEultrafine 1.3548
4
1.3237
4
1.3523
4
1.3215
4
1.3616
4
1.3615
4
    1.3257
5
PBE1PBE 1.3408
4
1.3104
4
1.3381
4
1.3083
4
1.3476
4
1.3475
4
    1.3040
6
HSEh1PBE 1.3416
4
1.3110
4
1.3389
4
1.3089
4
1.3481
4
1.3480
4
    1.3043
6
TPSSh                 1.3169
5
wB97X-D 1.4036
11
1.3484
11
1.4014
11
1.3477
11
1.4095
11
1.4093
11
    1.3078
6
B97D3                 1.3259
5
Moller Plesset perturbation MP2 1.4328
33
1.3690
33
1.4061
30
1.3683
33
1.4351
33
1.4150
30
    1.3550
46
MP2=FULL 1.3601
4
1.3161
4
1.3562
4
1.3137
4
1.3687
4
1.3684
4
    1.3492
6
ROMP2                 1.4036
3
MP3 1.3540
4
1.3101
4
1.3489
4
1.3071
4
1.3621
4
1.3617
4
    1.3904
3
MP3=FULL                 1.3878
3
MP4 1.3662
4
1.3191
4
1.3627
4
1.3168
4
1.3749
4
1.3747
4
     
MP4=FULL 1.3662
4
1.3191
4
1.3627
4
1.3168
4
1.3747
4
1.3743
4
    1.3990
3
B2PLYP 1.3420
1
1.2894
1
1.3364
1
1.2839
1
1.3537
1
1.3537
1
    1.3422
6
B2PLYP=FULL 1.3420
1
1.2894
1
1.3364
1
1.2839
1
1.3536
1
1.3536
1
    1.3413
6
B2PLYP=FULLultrafine                 1.3566
5
Configuration interaction CID 1.3505
4
1.3062
4
1.3457
4
1.3033
4
1.3588
4
1.3585
4
    1.3380
6
CISD 1.3523
4
1.3072
4
1.3473
4
1.3043
4
1.3605
4
1.3602
4
    1.3383
6
Quadratic configuration interaction QCISD 1.3623
4
1.3157
4
1.3582
4
1.3130
4
1.3711
4
1.3709
4
    1.3408
6
QCISD(T) 1.3632
4
1.3166
4
1.3596
4
1.3143
4
1.3719
4
1.3716
4
    1.3430
6
QCISD(T)=FULL                 1.3541
5
QCISD(TQ) 1.3609
4
1.3151
4
1.3569
4
1.3127
4
1.3695
4
1.3692
4
     
Coupled Cluster CCD 1.3575
4
1.3126
4
1.3534
4
1.3098
4
1.3662
4
1.3659
4
    1.3599
5
CCSD 1.3597
4
1.3140
4
1.3556
4
1.3113
4
1.3686
4
1.3683
4
    1.3422
6
CCSD=FULL 1.3597
4
1.3140
4
1.3556
4
1.3113
4
1.3683
4
1.3679
4
    1.3393
6
CCSD(T) 1.3623
4
1.3161
4
1.3586
4
1.3137
4
1.3710
4
1.3707
4
    1.3436
6
CCSD(T)=FULL 1.3623
4
1.3161
4
1.3586
4
1.3137
4
1.3708
4
1.3703
4
    1.3407
6
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.