return to home page Computational Chemistry Comparison and Benchmark DataBase Release 22 (May 2022) Standard Reference Database 101 National Institute of Standards and Technology
You are here: Calculated > Geometry > Calculated geometry > One type of bond

Comparison of levels of theory for F-S


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 1.6287
61
PM3 1.5673
62
PM6 1.5647
68
composite G2 1.5880
64
G3 1.5880
64
G3B3 1.6267
65
G3MP2 1.5734
15
G4 1.5782
56
CBS-Q 1.5915
64

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(D+d)Z cc-pV(T+d)Z aug-cc-pV(T+d)Z aug-cc-p(Q+d)Z cc-pCVDZ cc-pCVTZ aug-cc-pCVTZ daug-cc-pVDZ daug-cc-pVTZ
hartree fock HF 1.7639
66
1.6604
66
1.5915
66
1.7050
66
1.5875
68
1.5834
66
1.5877
59
1.5813
66
1.5813
66
1.5594
66
1.5446
17
1.5800
68
1.6020
66
1.5644
66
1.5908
34
1.5988
66
1.5655
66
1.5737
32
1.6101
5
1.5474
33
1.5499
14
  1.6464
1
1.5633
12
1.5402
4
1.5824
15
1.5673
60
ROHF   1.7794
14
1.6991
14
1.7730
14
1.6560
14
1.6560
14
1.6685
14
1.6625
14
1.6625
14
  1.5258
2
1.6656
14
1.6795
14
1.6428
14
1.6384
14
1.6805
14
1.6460
14
1.6011
12
  1.5622
5
1.5683
1
    1.5625
9
1.5233
2
1.5705
2
1.5305
2
density functional LSDA 1.7438
64
1.6351
33
1.6078
64
1.7558
64
1.6167
64
1.6167
64
1.6300
64
1.6277
64
1.6277
64
1.5927
64
1.6597
1
1.6374
42
1.6388
64
1.6097
64
1.7144
1
1.6442
64
1.6136
47
1.7089
1
1.6580
5
1.5974
27
1.5993
14
  1.7058
1
1.6059
12
1.5750
4
   
BLYP 1.7835
66
1.7487
66
1.6537
66
1.7988
64
1.6476
68
1.6627
66
1.6716
64
1.6782
66
1.6782
66
1.6379
66
1.6318
16
1.6720
54
1.6857
66
1.6572
66
  1.6633
36
1.6302
35
  1.7095
5
1.6430
27
1.6468
14
  1.7635
1
1.6497
12
1.6141
4
1.6664
15
1.6362
15
B1B95 1.7334
66
1.6187
28
1.6046
66
1.7460
66
1.6112
66
1.6117
66
1.6216
66
1.6191
66
1.6191
66
1.5897
66
1.5787
15
1.6098
54
1.6332
66
1.6003
66
1.6102
2
1.6372
64
1.6013
64
1.6076
2
1.6502
5
1.5886
27
1.5895
14
  1.6940
1
1.5971
12
1.5689
4
1.6355
3
1.5899
14
B3LYP 1.7486
66
1.7085
66
1.6238
66
1.7591
64
1.6311
66
1.6311
66
1.6441
66
1.6409
66
1.6414
65
1.6064
66
1.5975
17
1.6434
68
1.6526
66
1.6214
66
1.6473
34
1.6574
65
1.6239
66
1.6317
32
1.6706
5
1.6025
33
1.6100
14
  1.7191
1
1.6163
12
1.5857
4
1.6341
15
1.6038
15
B3LYPultrafine   1.6846
35
    1.6311
66
1.6058
35
1.6148
36
1.6118
35
  1.5943
16
1.5990
16
1.6159
40
1.6526
54
1.6214
55
  1.6571
54
1.6129
67
  1.6961
1
1.6031
23
1.5974
10
  1.7192
1
1.6164
12
1.5857
4
1.6341
15
1.6038
15
B3PW91 1.7435
65
1.7019
66
1.6161
66
1.7523
64
1.6227
66
1.6228
66
1.6243
64
1.6309
66
1.6313
65
1.5995
66
1.5906
16
1.6337
56
1.6438
66
1.6119
66
  1.6187
36
1.5851
37
  1.6617
5
1.5995
27
1.6006
14
  1.7074
1
1.6078
12
1.5774
4
1.6254
15
1.5955
15
mPW1PW91 1.7354
65
1.6932
66
1.6096
65
1.7438
64
1.6159
66
1.6159
66
1.6259
66
1.6229
66
1.6229
66
1.5929
66
1.5842
16
1.6258
56
1.6367
66
1.6051
65
  1.6364
60
1.6049
59
  1.6535
5
1.5924
27
1.5934
14
  1.6979
1
1.6009
12
1.5718
4
1.6190
15
1.5893
15
M06-2X 1.7039
54
1.6666
54
1.6009
76
1.7273
56
1.6051
65
1.6062
56
1.6045
54
1.6124
56
1.6119
56
1.5857
56
1.5904
57
1.6051
54
1.6259
56
1.5974
56
  1.6171
54
1.5990
56
  1.6416
5
1.5872
27
1.5881
14
  1.6811
1
1.5964
12
1.5692
4
1.6096
15
1.5835
15
PBEPBE 1.7702
65
1.7361
66
1.6380
65
1.7826
63
1.6460
66
1.6460
66
1.6621
66
1.6595
66
1.6595
66
1.6239
66
1.6156
17
1.6643
56
1.6685
66
1.6394
66
1.6442
2
1.6710
60
1.6387
60
1.6413
2
1.6917
5
1.6270
27
1.6297
14
  1.7412
1
1.6339
12
1.6002
4
1.6514
15
1.6215
15
PBEPBEultrafine   1.7079
35
    1.6450
55
1.6220
35
1.6330
35
1.6311
35
  1.6118
16
1.6168
16
1.6362
40
1.6679
54
1.6398
54
  1.6745
54
1.6427
49
  1.7177
1
1.6214
23
1.6151
10
  1.7412
1
1.6339
12
1.6002
4
1.6514
15
1.6215
15
PBE1PBE 1.7365
54
1.5911
25
1.5995
52
1.7415
52
1.6136
66
1.6152
54
1.6255
54
1.6221
54
1.6221
54
1.5932
54
1.5839
16
1.6267
54
1.6359
54
1.6049
54
  1.6384
54
1.6069
54
  1.6748
1
1.5876
23
1.5821
10
  1.6964
1
1.6003
12
1.5716
4
1.6186
15
1.5889
15
HSEh1PBE 1.7386
56
1.6941
64
1.5999
54
1.7497
56
1.6161
64
1.6156
56
1.6268
64
1.6227
56
1.6227
56
1.5929
56
1.5857
16
1.6276
56
1.6365
56
1.6055
64
  1.6391
56
1.6072
56
  1.6552
5
1.5940
27
1.5952
14
  1.6996
1
1.6024
12
1.5734
4
1.6205
15
1.5907
15
TPSSh 1.7398
35
1.6883
40
1.5988
40
1.7469
40
1.6253
68
1.6062
40
1.6318
68
1.6115
40
1.6112
35
1.6060
68
1.5982
16
1.6145
40
1.6249
40
1.6149
68
1.6008
16
1.6267
40
1.5950
40
1.6013
16
1.6956
1
1.5957
18
1.5939
8
  1.7176
1
1.6065
9
1.5853
4
1.6331
15
1.6028
15
wB97X-D 1.7212
35
1.6706
35
1.6195
76
1.7271
35
1.6224
76
1.5920
35
1.6283
76
1.5953
35
1.6263
76
1.5693
35
1.5838
16
1.6285
76
1.6341
76
1.6119
76
1.5961
10
1.6113
35
1.6131
76
1.5862
16
1.6753
1
1.5839
12
1.5907
2
  1.6972
1
1.5906
8
1.5621
3
1.6188
15
1.5884
15
B97D3 1.7589
26
1.7223
67
1.6228
26
1.7747
26
1.6544
67
1.6310
26
1.6549
65
1.6389
26
1.6525
65
1.6080
26
1.6314
66
1.6617
65
1.6501
26
1.6458
67
1.6163
16
1.6544
26
1.6485
67
1.6170
16
1.7199
1
1.6207
8
1.6172
2
  1.7442
1
1.6217
8
1.5879
3
1.6490
15
1.6422
57
B97D3ultrafine                                 1.6452
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) TZVP cc-pVDZ cc-pVTZ cc-pVQZ aug-cc-pVDZ aug-cc-pVTZ aug-cc-pVQZ cc-pV(D+d)Z cc-pV(T+d)Z aug-cc-pV(T+d)Z aug-cc-p(Q+d)Z cc-pCVDZ cc-pCVTZ aug-cc-pCVTZ daug-cc-pVDZ daug-cc-pVTZ
Moller Plesset perturbation MP2 1.7328
68
1.6920
66
1.6124
66
1.7630
64
1.6280
76
1.6236
66
1.6386
66
1.6149
68
1.6224
66
1.5970
55
1.5887
16
1.6277
68
1.6435
66
1.6031
65
1.6382
24
1.6534
62
1.6110
52
1.6434
16
1.6732
5
1.5880
33
1.5979
14
  1.7404
1
1.6023
12
1.5774
4
1.6303
15
1.5905
15
MP2=FULL 1.7241
62
1.6919
65
1.6118
65
1.7610
60
1.6190
66
1.6208
66
1.6361
66
1.6226
66
1.6222
65
1.5886
65
1.5867
16
1.6277
56
1.6420
65
1.5996
65
1.6356
24
1.6483
61
1.6000
49
1.6191
22
1.6725
5
1.5883
29
1.5952
18
1.5886
2
1.7396
1
1.6007
12
1.5888
8
1.6277
15
1.5843
15
ROMP2 1.7701
12
1.7002
4
1.6760
14
1.8139
14
1.6796
14
1.6796
14
1.7069
14
1.6916
14
1.6916
14
1.6544
14
1.5586
2
1.7462
9
1.7084
14
1.6673
14
  1.7189
14
      1.5964
5
1.6037
1
    1.5967
5
1.5568
2
1.6087
2
1.5640
2
MP3         1.6157
65
  1.6130
68
      1.5768
14
1.5880
39
1.6085
39
1.5648
29
        1.6539
5
1.5777
27
1.5800
14
  1.6969
1
1.5867
12
1.5653
4
1.6199
13
1.5802
13
MP3=FULL   1.6639
33
1.5840
33
1.7369
33
1.6090
68
1.5897
33
1.6158
68
1.5828
33
1.5828
33
1.5559
33
1.5748
14
1.5871
39
1.6074
39
1.5627
29
  1.6059
23
1.5810
14
  1.6768
1
1.5659
18
1.5670
8
  1.6956
1
1.5771
9
1.5633
4
1.6174
13
1.5745
13
MP4 1.7643
4
1.7036
57
    1.6301
57
    1.6397
1
1.6328
57
1.6074
4
1.5961
10
1.6470
43
1.6558
43
1.6132
45
  1.6720
34
1.6530
25
  1.6817
5
1.6007
27
1.6061
14
  1.7468
1
1.6103
12
1.5874
4
1.6644
3
1.5931
9
MP4=FULL   1.7068
43
    1.6313
43
      1.6373
43
  1.5940
10
  1.6442
41
1.6166
39
  1.6663
39
1.6394
30
  1.7222
1
1.5933
23
1.5893
10
  1.7456
1
1.6088
12
1.5853
4
1.6287
9
1.5864
9
B2PLYP 1.7227
40
1.6781
40
1.5927
40
1.7464
40
1.6036
51
1.6023
40
1.6146
42
1.6045
40
1.6043
38
1.5722
32
1.5943
16
1.6092
40
1.6205
40
1.5872
54
  1.6249
40
1.5907
34
  1.6704
3
1.5927
20
1.5961
10
  1.7282
1
1.6019
9
1.5823
4
1.6314
15
1.5977
15
B2PLYP=FULL 1.7226
40
1.6770
45
1.5926
40
1.7462
40
1.6024
45
1.6014
40
1.6115
45
1.6044
40
1.6044
40
1.5749
40
1.5937
16
1.6089
40
1.6202
40
1.5859
40
  1.6240
40
1.5884
40
  1.7043
1
1.5893
18
1.5883
8
  1.7280
1
1.6014
9
1.5818
4
1.6306
15
1.5958
15
B2PLYP=FULLultrafine 1.7229
35
1.6787
35
1.5930
35
1.7463
35
1.6222
68
1.6011
35
1.6106
35
1.6041
35
1.6041
35
1.5748
35
1.5937
16
1.6086
35
1.6447
67
1.6097
67
  1.6239
35
1.6129
67
  1.7044
1
1.5929
12
1.5938
9
1.5979
2
1.7280
1
1.6010
8
1.5872
10
1.6306
15
1.5958
15
Configuration interaction CID 1.7378
4
1.6686
65
1.5976
65
1.7301
65
1.5996
66
    1.5942
65
1.5996
4
1.5748
4
1.5588
16
  1.6082
16
1.5644
16
        1.6650
1
1.5600
23
1.5555
10
  1.6833
1
1.5754
12
1.5568
4
1.6011
15
1.5744
9
CID=FULL         1.6264
1
                            1.5962
1
1.5988
1
    1.5971
1
     
CISD 1.7384
4
1.6646
63
1.5991
65
1.7329
65
1.6005
66
    1.5954
65
1.6006
4
1.5754
4
1.5599
16
  1.6096
16
1.5654
16
        1.6671
1
1.5610
23
1.5564
10
  1.6852
1
1.5767
12
1.5587
4
1.5952
11
1.5719
5
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(D+d)Z cc-pV(T+d)Z aug-cc-pV(T+d)Z aug-cc-p(Q+d)Z cc-pCVDZ cc-pCVTZ aug-cc-pCVTZ daug-cc-pVDZ daug-cc-pVTZ
Quadratic configuration interaction QCISD 1.7586
4
1.6892
64
1.6148
65
1.7673
65
1.6249
55
1.6217
65
1.6335
65
1.6198
65
1.6164
62
1.5929
51
1.5811
16
1.6220
56
1.6407
65
1.5999
48
  1.6490
46
1.6059
42
  1.6630
5
1.5854
27
1.5877
14
  1.7113
1
1.5957
12
1.5747
4
1.6257
15
1.5953
9
QCISD(T)         1.6304
55
    1.5976
25
    1.5895
16
1.6361
46
1.6512
48
1.6055
45
  1.6579
48
1.6285
37
  1.7070
1
1.5894
23
1.5861
10
  1.7271
1
1.6039
12
1.5825
4
1.6485
9
1.5920
15
QCISD(T)=FULL         1.6005
19
  1.6083
25
      1.5872
16
  1.6186
25
1.5679
21
1.5839
16
1.6212
21
1.5932
16
1.5976
10
1.7053
1
1.5836
12
1.5953
2
  1.7257
1
1.5925
8
1.5709
3
1.6304
15
1.5855
15
QCISD(TQ)         1.6612
2
  1.6840
2
      1.6619
1
  1.6924
2
1.6366
2
1.6031
1
1.7021
2
1.6148
1
1.6045
1
                 
QCISD(TQ)=FULL         1.6581
2
  1.6806
2
          1.6910
2
  1.6011
1
1.6987
2
1.6097
1
                   
Coupled Cluster CCD 1.7561
4
1.6843
65
1.6086
65
1.7518
65
1.6140
66
1.6163
65
1.6311
55
1.6131
65
1.6105
61
1.5874
51
1.5752
16
1.6154
56
1.6344
65
1.5945
48
  1.6420
48
1.6002
44
  1.6548
5
1.5796
27
1.5817
14
  1.7021
1
1.5889
12
1.5676
4
1.6112
11
1.5885
9
CCSD         1.6186
65
1.6052
15
1.6136
15
1.5991
15
1.5990
15
1.5604
27
1.5785
16
1.6112
52
1.6289
56
1.5868
46
1.6262
23
1.6476
44
1.6214
32
1.6394
11
1.6869
1
1.5749
31
1.5784
12
  1.7059
1
1.5926
12
1.5713
4
1.6226
15
1.5921
9
CCSD=FULL         1.6147
58
        1.5552
27
1.5762
16
1.6199
54
1.6373
56
1.5942
48
1.6337
16
1.6472
41
1.6129
34
1.6428
8
1.6853
1
1.5723
31
1.5746
12
1.5797
2
1.7042
1
1.5824
9
1.5687
4
1.6122
11
1.5790
5
CCSD(T)         1.6285
53
1.6005
25
1.6275
16
1.5962
25
1.6134
16
1.5870
16
1.5881
16
1.6360
41
1.6523
52
1.6079
52
1.6668
14
1.6616
48
1.6257
39
1.6419
9
1.7038
1
1.5825
29
1.5846
10
  1.7240
1
1.6021
12
1.5808
4
1.6408
5
1.5946
5
CCSD(T)=FULL         1.6287
49
          1.5812
12
1.6350
41
1.6510
41
1.6025
46
1.6333
20
1.6524
46
1.6316
30
1.6075
15
1.6716
5
1.5844
33
1.5910
10
  1.7228
1
1.6003
12
1.5785
4
1.6208
11
1.5768
11
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(D+d)Z cc-pV(T+d)Z aug-cc-pV(T+d)Z aug-cc-p(Q+d)Z 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 1.9934
69
1.5918
66
1.7913
63
1.5918
66
1.7668
64
1.7621
64
    1.5823
66
ROHF                 1.5220
2
density functional LSDA                 1.6531
1
BLYP                 1.6299
16
B1B95 1.7658
14
1.6170
14
            1.5786
16
B3LYP 1.7971
64
1.6476
66
1.7936
64
1.6486
66
1.7771
63
1.7773
66
    1.6203
66
B3LYPultrafine                 1.5975
16
B3PW91                 1.5892
16
mPW1PW91                 1.5829
16
M06-2X                 1.5773
16
PBEPBE                 1.6323
66
PBEPBEultrafine                 1.6151
16
PBE1PBE                 1.5825
16
HSEh1PBE                 1.5844
16
TPSSh                 1.5965
16
wB97X-D 1.7628
35
1.6048
35
1.7583
35
1.6044
35
1.7410
35
1.7328
35
    1.5821
16
B97D3                 1.6116
16
Moller Plesset perturbation MP2 1.8228
63
1.6446
66
1.8185
66
1.6445
66
1.7937
66
1.7940
66
    1.6105
66
MP2=FULL                 1.5828
16
ROMP2                 1.5527
2
MP3                 1.5739
14
MP3=FULL                 1.5721
14
MP4                 1.5935
13
MP4=FULL                 1.5933
14
B2PLYP                 1.5918
16
B2PLYP=FULL                 1.5913
16
B2PLYP=FULLultrafine                 1.5913
16
Configuration interaction CID                 1.5567
16
CISD                 1.5577
16
Quadratic configuration interaction QCISD                 1.5774
16
QCISD(T)                 1.5851
16
QCISD(T)=FULL                 1.5831
16
QCISD(TQ)                 1.6479
1
Coupled Cluster CCD                 1.5719
16
CCSD                 1.5750
16
CCSD=FULL                 1.5729
16
CCSD(T)                 1.5837
16
CCSD(T)=FULL                 1.5817
16
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.