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You are here: Calculated > Geometry > Calculated geometry > One type of bond

Comparison of levels of theory for Al-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 1.5748
4
PM3 1.6865
6
PM6 1.6265
9
composite G2 1.6293
4
G3 1.6293
4
G3B3 1.6442
7
G3MP2 1.6487
1
G4 1.6388
9
CBS-Q 1.6418
4

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-pV(D+d)Z cc-pV(T+d)Z aug-cc-pV(T+d)Z cc-pCVDZ cc-pCVTZ daug-cc-pVDZ daug-cc-pVTZ
hartree fock HF 1.5993
7
1.6352
7
1.6212
7
1.6723
7
1.6308
9
1.6248
7
1.6373
4
1.6358
7
1.6358
7
1.6184
7
1.6210
7
1.6147
3
1.6380
9
1.6624
7
1.6256
7
1.6203
4
1.6387
7
1.6230
7
1.6199
4
1.6310
3
1.6152
7
1.6442
1
1.6630
4
1.6208
4
1.6713
1
1.6222
9
density functional LSDA 1.6246
7
1.6542
7
1.6289
7
1.6886
7
1.6373
7
1.6373
7
1.6513
7
1.6503
7
1.6503
7
1.6276
7
1.6293
3
1.6293
3
1.6410
3
1.6739
7
1.6432
7
1.6276
3
1.6598
7
1.6339
3
1.6274
3
1.6383
3
1.6240
3
1.6625
1
1.6650
3
1.6275
3
   
BLYP 1.6394
7
1.6736
7
1.6481
7
1.7099
7
1.6544
9
1.6590
7
1.6764
7
1.6741
7
1.6741
7
1.6477
7
1.6666
4
1.6560
3
1.6777
4
1.6936
7
1.6684
7
1.6538
3
1.6845
7
1.6710
4
1.6542
3
1.6612
3
1.6498
3
1.6943
1
1.6856
3
1.6530
3
1.7228
1
1.7025
1
B1B95 1.6244
7
1.6491
1
1.6328
7
1.6855
7
1.6400
7
1.6407
7
1.6528
7
1.6520
7
1.6520
7
1.6339
7
1.6428
4
1.6328
3
1.6533
4
1.6736
7
1.6452
7
1.6304
3
1.6582
7
1.6759
1
1.6303
3
1.6434
3
1.6277
3
1.6675
1
1.6668
3
1.6306
3
1.6963
1
1.6757
1
B3LYP 1.6250
7
1.6575
7
1.6353
7
1.6936
7
1.6442
7
1.6442
7
1.6592
7
1.6582
7
1.6606
4
1.6363
7
1.6441
7
1.6390
3
1.6663
9
1.6797
7
1.6515
7
1.6461
4
1.6661
7
1.6498
7
1.6463
4
1.6470
3
1.6396
7
1.6747
1
1.6801
4
1.6365
3
1.7026
1
1.6831
1
B3LYPultrafine 1.6310
3
1.6576
4
1.6308
3
1.6841
3
1.6442
7
1.6464
4
1.6623
4
1.6607
4
1.6513
3
1.6386
4
1.6492
4
1.6391
3
1.6600
4
1.6819
4
1.6510
7
1.6371
3
1.6693
4
1.6508
9
1.6372
3
1.6471
3
1.6334
3
1.6747
1
1.6716
3
1.6365
3
1.7026
1
1.6831
1
B3PW91 1.6284
4
1.6590
7
1.6369
7
1.6941
7
1.6441
7
1.6440
7
1.6571
7
1.6570
7
1.6593
4
1.6362
7
1.6467
4
1.6370
3
1.6576
4
1.6807
7
1.6496
7
1.6348
3
1.6643
7
1.6504
4
1.6347
3
1.6480
3
1.6317
3
1.6707
1
1.6726
3
1.6346
3
1.6997
1
1.6795
1
mPW1PW91 1.6251
4
1.6553
7
1.6364
4
1.6905
7
1.6407
7
1.6407
7
1.6537
7
1.6534
7
1.6534
7
1.6322
7
1.6431
4
1.6335
3
1.6538
4
1.6776
7
1.6458
7
1.6313
3
1.6606
7
1.6468
4
1.6313
3
1.6450
3
1.6282
3
1.6665
1
1.6695
3
1.6310
3
1.6954
1
1.6752
1
M06-2X 1.6232
4
1.6446
4
1.6311
9
1.6836
4
1.6416
9
1.6376
4
1.6497
4
1.6496
4
1.6496
4
1.6312
4
1.6399
9
1.6280
3
1.6473
4
1.6736
4
1.6420
4
1.6261
3
1.6564
4
1.6402
4
1.6263
3
1.6399
3
1.6231
3
1.6620
1
1.6632
3
1.6261
3
1.6873
1
1.6692
1
PBEPBE 1.6401
4
1.6720
7
1.6655
1
1.7452
1
1.6537
7
1.6537
7
1.6676
7
1.6658
7
1.6707
7
1.6487
7
1.6579
7
1.6521
3
1.6735
4
1.6932
7
1.6600
7
1.6497
3
1.7184
1
1.6635
7
1.6500
3
1.6609
3
1.6549
4
1.6878
1
1.6852
3
1.6491
3
1.7178
1
1.6964
1
PBEPBEultrafine 1.6454
3
1.6736
4
1.6433
3
1.6991
3
1.6528
7
1.6590
4
1.6758
4
1.6733
4
1.6640
3
1.6511
4
1.6624
4
1.6523
3
1.6736
4
1.6955
4
1.6672
4
1.6499
3
1.6842
4
1.6664
4
1.6501
3
1.6611
3
1.6461
3
1.6878
1
1.6853
3
1.6492
3
1.7178
1
1.6964
1
PBE1PBE 1.6292
4
1.6507
1
1.6350
4
1.6927
4
1.6467
9
1.6431
4
1.6570
4
1.6559
4
1.6559
4
1.6357
4
1.6435
4
1.6340
3
1.6542
4
1.6802
4
1.6487
4
1.6318
3
1.6638
4
1.6470
4
1.6317
3
1.6456
3
1.6284
3
1.6667
1
1.6698
3
1.6313
3
1.6958
1
1.6755
1
HSEh1PBE 1.6293
4
1.6640
9
1.6350
4
1.6927
4
1.6468
9
1.6432
4
1.6611
9
1.6562
4
1.6562
4
1.6358
4
1.6438
4
1.6342
3
1.6546
4
1.6799
4
1.6539
9
1.6322
3
1.6642
4
1.6476
4
1.6321
3
1.6452
3
1.6288
3
1.6674
1
1.6695
3
1.6318
3
1.6963
1
1.6762
1
TPSSh 1.6457
1
1.6911
1
1.6575
1
1.7330
1
1.6460
9
1.6709
1
1.6559
9
1.6898
1
1.6898
1
1.6396
9
1.6795
1
  1.6920
1
1.7105
1
1.6500
9
1.6723
1
1.7033
1
1.6830
1
1.6731
1
    1.6743
1
    1.7030
1
1.6828
1
wB97X-D 1.6374
1
1.6810
1
1.6362
9
1.7242
1
1.6406
9
1.6647
1
1.6506
9
1.6833
1
1.6509
9
1.6571
1
1.6725
1
  1.6485
9
1.6523
9
1.6450
9
1.6657
1
1.6953
1
1.6423
9
1.6659
1
    1.6669
1
    1.6953
1
1.6754
1
B97D3 1.6592
1
1.6806
9
1.6684
1
1.7465
1
1.6630
9
1.6821
1
1.6763
9
1.7019
1
1.6748
9
1.6732
1
1.6635
9
  1.6802
9
1.7218
1
1.6701
9
1.6850
1
1.7175
1
1.6692
9
1.6860
1
    1.6870
1
    1.7172
1
1.6667
9
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-pV(D+d)Z cc-pV(T+d)Z aug-cc-pV(T+d)Z cc-pCVDZ cc-pCVTZ daug-cc-pVDZ daug-cc-pVTZ
Moller Plesset perturbation MP2 1.6113
4
1.6531
7
1.6353
7
1.6974
7
1.6467
9
1.6490
7
1.6626
7
1.6512
9
1.6546
7
1.6392
7
1.6524
4
1.6434
3
1.6667
9
1.6850
7
1.6521
7
1.6474
4
1.6721
7
1.6562
4
1.6484
4
1.6552
3
1.6416
7
1.6757
1
1.6853
4
1.6471
4
1.7065
1
1.6834
1
MP2=FULL 1.6139
4
1.6539
7
1.6366
4
1.6995
4
1.6489
7
1.6493
7
1.6648
7
1.6543
7
1.6563
4
1.6398
4
1.6488
4
1.6392
3
1.6607
4
1.6856
7
1.6530
4
1.6327
4
1.6716
7
1.6493
4
1.6280
4
1.6545
3
1.6371
7
1.6715
1
1.6851
4
1.6425
4
1.7037
1
1.6724
1
MP3 1.6165
3
1.6393
3
1.6268
3
1.6812
3
1.6420
7
1.6372
3
1.6441
9
1.6396
3
1.6396
3
1.6279
3
1.6313
3
1.6313
3
1.6395
3
1.6714
3
1.6347
3
1.6271
3
1.6539
3
1.6344
3
1.6274
3
1.6465
3
1.6248
3
1.6613
1
1.6694
3
1.6272
3
   
MP3=FULL         1.6410
9
  1.6490
9
                            1.6575
1
       
MP4 1.6213
3
1.6655
5
1.6337
3
1.6903
3
1.6564
9
1.6454
3
1.6598
3
1.6581
4
1.6630
5
1.6376
3
1.6446
3
1.6446
3
1.6524
3
1.6818
3
1.6653
6
1.6397
3
1.6672
3
1.6481
3
1.6406
3
1.6570
3
1.6367
3
1.6786
1
1.6800
3
1.6390
3
   
MP4=FULL 1.6221
3
1.6470
3
1.6345
3
1.6909
3
1.6456
3
1.6456
3
1.6583
3
1.6491
3
1.6491
3
1.6340
3
1.6405
3
1.6405
3
1.6520
3
1.6824
3
1.6446
3
1.6244
3
1.6665
3
1.6411
3
1.6231
3
1.6566
3
1.6321
3
1.6743
1
1.6796
3
1.6344
3
   
B2PLYP 1.6321
1
1.6803
1
1.6494
1
1.7281
1
1.6494
9
1.6668
1
1.6952
1
1.6843
1
1.6843
1
1.6591
1
1.6777
1
  1.6896
1
1.7069
1
1.6494
6
  1.7019
1
1.6816
1
      1.6731
1
    1.7019
1
1.6814
1
B2PLYP=FULL 1.6325
1
1.6805
1
1.6498
1
1.7284
1
1.6670
1
1.6670
1
1.6951
1
1.6844
1
1.6844
1
1.6583
1
1.6770
1
  1.6898
1
1.7071
1
1.6795
1
  1.7017
1
1.6795
1
      1.6719
1
    1.7010
1
1.6786
1
B2PLYP=FULLultrafine 1.6325
1
1.6805
1
1.6498
1
1.7284
1
1.6495
9
1.6670
1
1.6951
1
1.6844
1
1.6844
1
1.6583
1
1.6770
1
  1.6898
1
1.6874
9
1.6565
9
  1.7017
1
1.6518
9
      1.6719
1
    1.7010
1
1.6786
1
Configuration interaction CID 1.6172
3
1.6461
4
1.6300
4
1.6899
4
1.6382
7
1.6331
3
1.6428
3
1.6455
4
1.6364
3
1.6229
3
1.6352
4
1.6252
3
1.6350
3
1.6760
4
1.6389
4
1.6212
3
1.6477
3
1.6281
3
1.6212
3
1.6424
3
1.6195
3
1.6603
1
1.6651
3
1.6218
3
1.6920
1
1.6681
1
CISD 1.6193
3
1.6475
4
1.6313
4
1.6912
4
1.6393
7
1.6337
3
1.6435
3
1.6465
4
1.6370
3
1.6233
3
1.6360
4
1.6257
3
1.6357
3
1.6771
4
1.6395
4
1.6216
3
1.6483
3
1.6286
3
1.6216
3
1.6431
3
1.6200
3
1.6618
1
1.6659
3
1.6223
3
1.6941
1
1.6697
1
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-pV(D+d)Z cc-pV(T+d)Z aug-cc-pV(T+d)Z cc-pCVDZ cc-pCVTZ daug-cc-pVDZ daug-cc-pVTZ
Quadratic configuration interaction QCISD 1.6216
3
1.6531
7
1.6358
4
1.6985
4
1.6461
7
1.6701
1
1.6959
1
1.6518
7
1.6516
7
1.6395
4
1.6462
4
1.6369
3
1.6557
4
1.6853
4
1.6466
4
1.6321
3
1.6706
4
1.6492
4
1.6325
3
1.6525
3
1.6382
4
1.6689
1
1.6753
3
1.6325
3
1.7022
1
1.6768
1
QCISD(T) 1.6227
3
1.6450
3
1.6321
3
1.6878
3
1.6580
6
1.6428
3
1.6554
3
1.6555
4
1.6469
3
1.6345
3
1.6496
4
1.6403
3
1.6583
4
1.6975
6
1.6613
6
1.6356
3
1.6801
6
1.6587
6
1.6362
3
1.6542
3
1.6330
3
1.6728
1
1.6771
3
1.6354
3
1.7047
1
1.6805
1
QCISD(T)=FULL         1.6714
1
  1.6966
1
      1.6750
1
    1.7118
1
1.6759
1
1.6535
1
1.7037
1
1.6746
1
1.6399
1
    1.6685
1
    1.7021
1
1.6696
1
QCISD(TQ) 1.6224
3
      1.6416
3
      1.6457
3
1.6331
3
1.6384
3
1.6384
3
    1.6414
3
  1.6608
3
1.6417
3
  1.6527
3
1.6314
3
  1.6756
3
1.6338
3
   
Coupled Cluster CCD 1.6184
3
1.6489
4
1.6324
4
1.6946
4
1.6432
7
1.6458
4
1.6604
4
1.6506
4
1.6507
4
1.6366
4
1.6429
4
1.6339
3
1.6522
4
1.6815
4
1.6458
4
1.6296
3
1.6666
4
1.6460
4
1.6299
3
1.6489
3
1.6274
3
1.6651
1
1.6796
4
1.6379
4
1.6969
1
1.6729
1
CCSD 1.6202
3
1.6423
3
1.6298
3
1.6853
3
1.6505
9
1.6473
4
1.6622
4
1.6525
4
1.6525
4
1.6380
4
1.6446
4
1.6355
3
1.6540
4
1.6836
4
1.6473
4
1.6388
4
1.6685
4
1.6476
4
1.6394
4
1.6509
3
1.6289
3
1.6668
1
1.6737
3
1.6312
3
1.6991
1
1.6746
1
CCSD=FULL 1.6209
3
1.6431
3
1.6305
3
1.6860
3
1.6477
4
1.6407
3
1.6507
3
1.6435
3
1.6435
3
1.6347
4
1.6411
4
1.6317
3
1.6539
4
1.6842
4
1.6454
4
1.6247
4
1.6679
4
1.6411
4
1.6199
4
1.6504
3
1.6245
3
1.6625
1
1.6733
3
1.6267
3
1.6966
1
1.6639
1
CCSD(T) 1.6218
3
1.6537
4
1.6317
3
1.6874
3
1.6533
9
1.6493
4
1.6651
4
1.6550
4
1.6549
4
1.6408
4
1.6489
4
1.6397
3
1.6575
4
1.6967
6
1.6606
6
1.6430
4
1.6792
6
1.6578
6
1.6439
4
1.6536
3
1.6405
4
1.6718
1
1.6845
4
1.6431
4
1.7037
1
1.6795
1
CCSD(T)=FULL 1.6227
3
1.6453
3
1.6325
3
1.6880
3
1.6620
6
1.6426
3
1.6534
3
1.6460
3
1.6460
3
1.6305
3
1.6453
4
1.6358
3
1.6574
4
1.6870
4
1.6490
4
1.6285
4
1.6717
4
1.6457
4
1.6392
1
1.6532
3
1.6280
3
1.6676
1
1.6844
4
1.6389
4
1.7010
1
1.6687
1
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-pV(D+d)Z cc-pV(T+d)Z aug-cc-pV(T+d)Z cc-pCVDZ 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 1.6918
7
1.6381
7
1.6826
7
1.6343
7
1.6791
7
1.6774
7
    1.6189
9
density functional LSDA 1.7089
3
1.6633
3
1.7083
3
1.6630
3
1.6943
3
1.6785
3
     
BLYP 1.7100
3
1.6641
3
1.7098
3
1.6637
3
1.7014
3
1.7033
3
    1.6898
1
B1B95 1.7000
7
1.6560
7
1.6908
3
1.6464
3
1.6845
3
1.6805
3
    1.6647
1
B3LYP 1.7107
7
1.6594
7
1.7075
7
1.6587
7
1.6980
7
1.6966
7
    1.6398
9
B3LYPultrafine 1.6975
3
1.6525
3
1.6963
3
1.6513
3
1.6883
3
1.6870
3
    1.6709
1
B3PW91 1.6974
3
1.6514
3
1.6960
3
1.6502
3
1.6884
3
1.6865
3
    1.6677
1
mPW1PW91 1.6941
3
1.6483
3
1.6925
3
1.6469
3
1.6858
3
1.6832
3
    1.6635
1
M06-2X 1.6826
3
1.6398
3
1.6801
3
1.6384
3
1.6817
3
1.6736
3
    1.6588
1
PBEPBE 1.7096
3
1.6627
3
1.7091
3
1.6621
3
1.7020
3
1.7013
3
    1.6491
9
PBEPBEultrafine 1.7096
3
1.6627
3
1.7091
3
1.6621
3
1.7019
3
1.7013
3
    1.6841
1
PBE1PBE 1.6948
3
1.6488
3
1.6930
3
1.6474
3
1.6868
3
1.6838
3
    1.6637
1
HSEh1PBE 1.6951
3
1.6495
3
1.6933
3
1.6481
3
1.6868
3
1.6838
3
    1.6643
1
TPSSh                 1.6711
1
wB97X-D 1.7605
1
1.6882
1
1.7521
1
1.6879
1
1.7348
1
1.7277
1
    1.6639
1
B97D3                 1.6836
1
Moller Plesset perturbation MP2 1.7257
7
1.6693
7
1.7174
7
1.6663
7
1.7094
7
1.7072
7
    1.6404
9
MP2=FULL 1.7120
3
1.6625
3
1.7065
3
1.6589
3
1.7002
3
1.6985
3
    1.6667
1
MP3 1.7046
3
1.6533
3
1.6968
3
1.6489
3
1.6921
3
1.6896
3
     
MP4 1.7153
3
1.6635
3
1.7103
3
1.6603
3
1.7022
3
1.6997
3
     
MP4=FULL 1.7153
3
1.6635
3
1.7103
3
1.6603
3
1.7022
3
1.7006
3
     
B2PLYP                 1.6682
1
B2PLYP=FULL                 1.6676
1
B2PLYP=FULLultrafine                 1.6676
1
Configuration interaction CID 1.7002
3
1.6476
3
1.6925
3
1.6433
3
1.6885
3
1.6860
3
    1.6548
1
CISD 1.7013
3
1.6481
3
1.6937
3
1.6439
3
1.6894
3
1.6869
3
    1.6564
1
Quadratic configuration interaction QCISD 1.7111
3
1.6589
3
1.7047
3
1.6549
3
1.6985
3
1.6960
3
    1.6627
1
QCISD(T) 1.7116
3
1.6597
3
1.7058
3
1.6562
3
1.6989
3
1.6964
3
    1.6656
1
QCISD(T)=FULL                 1.6635
1
QCISD(TQ) 1.7100
3
1.6581
3
1.7035
3
1.6544
3
1.6976
3
1.6950
3
     
Coupled Cluster CCD 1.7070
3
1.6557
3
1.7001
3
1.6515
3
1.6949
3
1.6923
3
    1.6590
1
CCSD 1.7089
3
1.6570
3
1.7023
3
1.6529
3
1.6967
3
1.6942
3
    1.6608
1
CCSD=FULL 1.7089
3
1.6570
3
1.7023
3
1.6529
3
1.6967
3
1.6950
3
    1.6587
1
CCSD(T) 1.7112
3
1.6592
3
1.7051
3
1.6556
3
1.6985
3
1.6959
3
    1.6647
1
CCSD(T)=FULL 1.7112
3
1.6592
3
1.7051
3
1.6556
3
1.6985
3
1.6968
3
    1.6627
1
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.