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III.G.1.a.

Comparison of levels of theory for C-F


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 1.4480
43
PM3 1.3339
94
PM6 1.3366
135
composite G2 1.3137
103
G3 1.3178
112
G3B3 1.3398
111
CBS-Q 1.3159
105

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 1.3610
114
1.3484
121
1.3495
121
1.3611
121
1.3174
122
1.3175
121
1.3184
121
1.3123
121
1.3113
115
1.3059
115
1.3086
66
1.3123
169
1.3166
121
1.3094
121
1.3015
40
1.3199
115
1.3101
111
1.2912
29
1.3551
10
1.2874
5
1.2774
5
1.3132
14
ROHF 1.3369
10
1.3383
22
1.3310
21
1.3439
17
1.3051
22
1.3051
22
1.3043
22
1.2904
21
1.3011
18
1.2926
10
    1.3041
22
1.2946
22
1.2768
11
1.2955
14
1.2831
14
1.2507
11
       
density functional LSDA 1.3755
117
1.3566
117
1.3567
117
1.3699
115
1.3286
115
1.3286
115
1.3331
115
1.3270
115
1.3272
115
1.3191
115
    1.3292
115
1.3252
115
1.2831
8
1.3334
109
1.3079
20
1.2992
6
       
SVWN   1.3559
107
    1.3289
105
  1.3328
107
                             
BLYP 1.4023
116
1.3830
123
1.3849
116
1.4007
122
1.3574
123
1.3574
123
1.3645
123
1.3578
116
1.3564
117
1.3452
117
    1.3585
123
1.3552
123
  1.3636
49
           
B1B95 1.3780
116
1.3623
121
1.3625
121
1.3759
121
1.3279
117
1.3327
121
1.3363
121
1.3303
121
1.3289
116
1.3222
109
    1.3328
121
1.3273
121
1.2894
11
1.3372
107
1.3147
35
1.2824
11
       
B3LYP 1.3860
116
1.3691
118
1.3687
121
1.3832
121
1.3407
120
1.3407
121
1.3455
121
1.3390
118
1.3388
68
1.3296
114
1.3321
48
1.3410
169
1.3412
121
1.3368
121
1.3282
34
1.3472
97
1.3363
85
1.3176
29
1.3823
10
1.3129
5
1.3034
5
1.3421
14
B3LYPultrafine         1.3397
106
  1.3661
23
                             
B3PW91 1.3825
68
1.3652
114
1.3663
114
1.3799
114
1.3365
114
1.3365
114
1.3409
107
1.3340
114
1.3338
61
1.3255
108
    1.3367
114
1.3319
114
  1.3389
49
           
mPW1PW91 1.3770
77
1.3614
121
1.3640
81
1.3757
121
1.3330
121
1.3327
121
1.3361
121
1.3300
121
1.3292
115
1.3220
115
    1.3327
121
1.3290
101
  1.3336
58
1.3199
10
         
M06-2X 1.3829
5
1.3601
5
1.3624
5
1.3712
5
1.3379
114
1.3303
5
1.3348
5
1.3288
5
1.3288
5
1.3236
5
    1.3304
5
1.3280
5
  1.3336
2
1.3266
2
         
PBEPBE 1.3921
75
1.3766
120
1.3796
75
1.3942
72
1.3490
120
1.3490
120
1.3545
120
1.3478
120
1.3473
115
1.3381
115
1.3417
44
  1.3506
117
1.3460
120
1.3075
11
1.3651
16
1.3549
44
1.2986
11
      1.3471
14
PBEPBEultrafine         1.3476
66
                                 
HSEh1PBE 1.3879
5
1.3602
5
1.3626
5
1.3755
5
1.3324
107
1.3319
5
1.3372
5
1.3302
5
1.3303
5
1.3247
5
    1.3326
5
1.3286
5
  1.3360
2
1.3262
4
         
Moller Plesset perturbation MP2FC 1.3783
75
1.3750
121
1.3759
121
1.4003
121
1.3456
121
1.3451
120
1.3509
121
1.3349
121
1.3336
115
1.3274
81
  1.3380
169
1.3402
121
1.3335
95
1.3025
6
1.3567
87
1.3213
30
1.2509
3
1.3780
10
1.3108
5
1.2993
5
1.3428
14
MP2FU 1.3784
67
1.3773
101
1.3783
79
1.4026
79
1.3440
121
1.3443
114
1.3502
114
1.3339
121
1.3335
68
1.3276
64
    1.3408
101
1.3311
79
1.2969
5
1.3350
35
1.2995
14
1.2377
2
1.3750
10
1.3100
5
1.2973
5
 
ROMP2 1.3432
11
1.3469
11
1.3469
11
1.3685
11
1.3144
11
1.3141
11
1.3168
11
1.3005
11
1.3003
11
1.2961
11
    1.3084
11
1.2982
11
1.3037
5
1.3186
11
1.3059
5
1.2483
5
       
MP3         1.3364
110
                                 
MP4 1.3752
6
1.3836
71
1.3625
2
1.3771
2
1.3519
84
    1.3290
3
1.3408
44
1.3269
6
      1.3229
37
               
B2PLYP 1.3918
5
1.3672
5
1.3692
5
1.3874
5
1.3414
108
1.3394
5
1.3456
114
1.3301
5
1.3301
5
1.3122
2
    1.3390
5
1.3356
2
  1.3095
2
1.3396
2
         
Configuration interaction CID 1.3970
2
1.3674
75
1.3704
62
1.3902
62
1.3320
116
  1.4621
1
1.3254
68
1.3636
2
1.3119
6
    1.4750
1
1.4372
1
               
CISD 1.3982
2
1.3705
66
1.3720
62
1.3921
62
1.3341
102
  1.4858
1
1.3272
62
1.3664
2
1.3130
6
    1.4803
1
1.4408
1
               
Quadratic configuration interaction QCISD 1.3839
14
1.3775
102
1.3823
65
1.4046
69
1.3474
95
1.3482
69
1.3560
72
1.3367
89
1.3319
88
1.3344
36
    1.3369
73
1.3273
43
  1.3487
9
1.3277
9
         
QCISD(T) 1.4550
1
1.4204
5
    1.3518
64
1.3324
1
1.3379
1
1.3262
4
1.3464
12
1.4650
1
    1.3412
31
1.3304
25
  1.3333
9
1.2689
5
         
Coupled Cluster CCD 1.3834
14
1.3760
69
1.3777
65
1.3989
69
1.3425
109
1.3449
66
1.3479
75
1.3325
72
1.3315
41
1.3306
36
    1.3324
75
1.3265
41
  1.3363
21
1.3052
16
    1.3071
5
1.2936
5
 
CCSD   1.4162
5
    1.3441
71
1.3282
1
1.3336
1
1.3208
4
1.3301
11
      1.3460
17
1.3187
15
               
CCSD(T) 1.4543
1
1.4066
6
    1.3484
86
1.3411
9
1.3194
2
1.3250
4
1.3406
13
1.4636
1
1.2739
1
  1.3405
34
1.3212
30
1.3120
4
1.3402
19
1.3028
13
1.2692
2
  1.3158
3
1.3024
5
 
CCSD(T)=FULL         1.3495
19
              1.3335
11
1.3229
12
1.2891
2
1.3496
5
1.3168
3
1.2644
2
  1.3150
3
1.3004
5
 

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 1.3702
121
1.3221
109
1.3688
121
1.3217
109
1.3668
121
1.3669
121
density functional B1B95 1.3903
65
1.3449
65
1.4037
1
1.3490
1
1.4016
1
1.4015
1
B3LYP 1.4005
121
1.3509
109
1.3993
121
1.3510
109
1.3930
121
1.3929
121
Moller Plesset perturbation MP2FC 1.4208
121
1.3521
109
1.4177
121
1.3515
109
1.4155
121
1.4155
121
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.