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Comparison of levels of theory for O-Br


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 1.8397
6
PM3 1.7769
8
PM6 1.7809
9
composite G2 1.8830
13
G3 1.9735
11
G3B3 1.8543
13
G4 1.8350
13
CBS-Q 1.9282
11

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 daug-cc-pVDZ daug-cc-pVTZ
hartree fock HF 1.8545
12
1.9508
11
1.7957
12
1.9794
11
1.7615
12
1.7596
12
1.7457
11
1.7566
12
1.7570
12
1.7134
12
1.7110
3
1.7444
12
1.7685
12
1.7271
12
1.7171
11
1.7543
12
1.7254
12
1.7161
11
1.7101
2
1.7310
13
ROHF   1.8249
8
1.7738
9
1.8614
8
1.7379
9
1.7377
9
1.7315
9
1.7312
9
1.7314
9
  1.6363
4
1.6631
5
1.7450
9
1.7075
9
1.7046
9
1.7376
9
1.7078
9
1.7045
9
1.6733
4
1.6391
4
density functional LSDA 1.8776
11
1.8145
7
1.8057
11
1.8832
11
1.7929
11
1.7926
11
1.7869
11
1.7954
11
1.7957
11
1.7456
11
  1.7871
5
1.8004
11
1.7675
11
  1.7920
11
1.7663
11
     
BLYP 1.9067
11
1.8966
12
1.8489
12
1.9281
12
1.8374
13
1.8362
12
1.8301
12
1.8416
12
1.8417
12
1.7860
12
1.7111
2
1.8209
6
1.8442
12
1.8118
12
  1.7366
2
1.7123
2
  1.7357
2
1.7119
2
B1B95 1.8652
12
1.7056
4
1.7993
12
1.8705
12
1.7791
12
1.7791
12
1.7723
12
1.7805
12
1.7807
12
1.7351
12
1.6464
4
1.7351
8
1.7864
12
1.7532
12
  1.7883
11
1.7517
12
  1.6737
4
1.6479
4
B3LYP 1.8806
12
1.8640
12
1.8205
12
1.8935
12
1.8038
12
1.8035
12
1.7967
12
1.8057
12
1.8060
12
1.7565
12
1.6667
4
1.7948
12
1.8108
12
1.7775
12
1.7680
11
1.8003
12
1.7758
12
1.7671
11
1.6952
4
1.6682
4
B3LYPultrafine   1.7979
5
    1.8032
12
1.7295
5
1.7243
5
1.7261
5
  1.6557
4
1.6667
4
1.7181
5
1.7757
8
1.7407
8
  1.7646
8
1.7791
12
  1.6952
4
1.6682
4
B3PW91 1.8739
12
1.8524
12
1.8083
12
1.8800
12
1.7896
12
1.7893
12
1.7824
12
1.7909
12
1.7912
12
1.7442
12
1.6719
2
1.7737
6
1.7965
12
1.7632
12
  1.6978
2
1.7239
3
  1.6966
2
1.6730
2
mPW1PW91 1.8675
12
1.8454
12
1.8022
12
1.8727
12
1.7825
12
1.7822
12
1.7753
12
1.7833
12
1.7836
12
1.7379
12
1.6666
2
1.7671
6
1.7892
12
1.7559
12
  1.7792
12
1.7547
12
  1.6916
2
1.6680
2
M06-2X 1.8389
8
1.8176
8
1.8006
13
1.8380
8
1.7398
8
1.7394
8
1.7331
8
1.7403
8
1.7407
8
1.6999
8
1.7566
13
1.7321
8
1.7470
8
1.7162
8
  1.7383
8
1.7149
8
  1.6710
4
1.6462
4
PBEPBE 1.8934
12
1.8773
12
1.8283
12
1.9067
12
1.8134
12
1.8131
12
1.8071
12
1.8176
12
1.8178
12
1.7657
12
1.7157
5
1.7699
8
1.8210
12
1.7885
12
  1.8108
12
1.7870
12
  1.7076
4
1.6816
4
PBEPBEultrafine   1.8107
5
    1.7769
8
1.7401
5
1.7349
5
1.7386
5
  1.6678
4
1.6804
4
1.7299
5
1.7845
8
1.7506
8
  1.7744
8
1.7490
8
  1.7076
4
1.6816
4
PBE1PBE 1.8550
8
1.7079
4
1.7711
8
1.8486
8
1.7811
12
1.7466
8
1.7396
8
1.7460
8
1.7464
8
1.7028
8
1.6482
4
1.7362
8
1.7535
8
1.7191
8
  1.7434
8
1.7176
8
  1.6758
4
1.6498
4
HSEh1PBE 1.8572
8
1.8255
8
1.7740
8
1.8520
8
1.7495
8
1.7491
8
1.7424
8
1.7494
8
1.7499
8
1.7051
8
1.6504
4
1.7395
8
1.7568
8
1.7222
8
  1.7464
8
1.7204
8
  1.6784
4
1.6522
4
TPSSh 1.8364
4
1.8188
6
1.7725
6
1.8479
6
1.8329
11
1.7504
6
1.7958
10
1.7483
6
1.6906
4
1.7573
12
1.6666
4
1.7165
5
1.8285
7
1.7771
10
1.6653
4
1.7494
6
1.7236
6
1.6650
4
1.6944
4
1.6680
4
wB97X-D 1.8196
4
1.7539
4
1.8076
13
1.7829
4
1.7847
13
1.6710
4
1.7789
13
1.6642
4
1.7864
13
1.6341
4
1.6430
4
1.7773
13
1.7815
13
1.7613
13
1.6418
4
1.6712
4
1.7604
13
1.6415
4
1.6701
4
1.6447
4
B97D3 1.8510
4
1.8784
13
1.7350
4
1.8256
4
1.8228
13
1.7094
4
1.8172
13
1.7038
4
1.8248
13
1.6663
4
1.7976
13
1.8315
13
1.7146
4
1.7987
13
1.6768
4
1.7088
4
1.8090
13
1.6765
4
1.7077
4
1.8075
13
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 daug-cc-pVDZ daug-cc-pVTZ
Moller Plesset perturbation MP2 1.8692
12
1.8628
12
1.8178
12
1.8873
12
1.8007
13
1.7933
12
1.7879
12
1.7923
13
1.7856
12
1.7411
12
1.6425
2
1.7774
12
1.7951
12
1.7345
10
1.7143
5
1.7864
12
1.7326
10
1.7104
5
1.6723
2
1.6400
2
MP2=FULL 1.8691
12
1.8624
12
1.8174
12
1.8857
12
1.7901
12
1.7904
12
1.7847
12
1.7850
12
1.7854
12
1.7299
12
1.6398
2
1.7591
6
1.7938
12
1.7311
10
1.7119
5
1.7839
12
1.7361
11
1.7062
5
1.6704
2
1.6317
2
ROMP2 1.8134
5
1.7060
4
1.7112
5
1.7664
5
1.6824
5
1.6823
5
1.6796
5
1.6698
5
1.6704
5
1.6424
5
1.6378
4
1.6672
5
1.6829
5
1.6490
5
  1.6815
5
    1.6696
4
1.6368
4
MP3         1.8069
11
  1.8044
11
      1.6159
2
1.7177
4
1.7385
4
1.6935
4
        1.6567
2
1.6166
2
MP3=FULL   1.7702
2
1.6995
2
1.8018
2
1.8074
9
1.6583
2
1.8016
9
1.6403
2
1.6403
2
1.6043
2
1.6139
2
1.7171
4
1.7373
4
1.6899
4
  1.6561
2
1.6116
2
  1.6544
2
1.6100
2
MP4 1.9059
1
1.8984
11
    1.8280
11
      1.7990
8
  1.6545
2
1.7746
7
1.7935
7
1.7607
8
  1.7809
7
1.7439
7
  1.6910
2
1.6545
2
MP4=FULL   1.9059
5
    1.8251
5
      1.8269
5
      1.8332
5
1.7814
5
  1.8137
5
1.7712
5
     
B2PLYP 1.8488
6
1.8193
6
1.7773
6
1.8514
6
1.7526
6
1.7535
6
1.7490
6
1.7492
6
1.7496
6
1.7066
6
1.6647
4
1.7417
6
1.7585
6
1.7747
10
  1.7520
6
1.7210
6
  1.6966
4
1.6653
4
B2PLYP=FULL 1.8488
6
1.8192
6
1.7772
6
1.8510
6
1.7530
6
1.7527
6
1.7481
6
1.7493
6
1.7497
6
1.7043
6
1.6641
4
1.7416
6
1.7581
6
1.7208
6
  1.7513
6
1.7193
6
  1.6958
4
1.6628
4
B2PLYP=FULLultrafine 1.8305
4
1.7770
4
1.7306
4
1.8081
4
1.8475
17
1.6978
4
1.6941
4
1.6914
4
1.6914
4
1.6517
4
1.6641
4
1.6853
4
1.8547
17
1.7681
17
  1.6972
4
1.7652
17
  1.6958
4
1.6628
4
Configuration interaction CID   1.8481
12
1.8044
12
1.8716
12
1.7772
12
    1.7677
12
    1.6541
2
  1.6953
2
1.6546
2
        1.6856
2
1.6511
2
CISD   1.8606
12
1.8112
12
1.8886
12
1.7826
12
    1.7731
12
    1.6597
2
  1.7076
2
1.6592
2
        1.6946
2
1.6554
2
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 daug-cc-pVDZ daug-cc-pVTZ
Quadratic configuration interaction QCISD 1.9111
1
1.9030
12
1.8501
12
1.9370
12
1.8156
12
1.8157
12
1.8092
12
1.8081
12
1.8086
12
1.7513
12
1.6636
4
1.7643
8
1.8206
12
1.7629
12
  1.8046
12
1.7600
12
  1.7103
4
1.6612
4
QCISD(T)         1.8239
12
    1.7334
2
1.8795
1
1.8230
1
1.6907
2
1.8012
6
1.8295
12
1.7742
12
  1.8072
6
1.7649
6
  1.7321
2
1.6877
2
QCISD(T)=FULL         1.7498
5
  1.7436
5
      1.6679
4
  1.7573
5
1.6981
5
1.6609
4
1.7441
5
1.6629
4
1.6565
4
1.7116
4
1.6599
4
QCISD(TQ)         1.8807
1
              1.8846
1
             
Coupled Cluster CCD 1.9094
1
1.8619
12
1.8179
12
1.8857
12
1.7917
12
1.7918
12
1.7851
12
1.7830
12
1.7834
12
1.7380
12
1.6370
4
1.7348
8
1.7941
12
1.7480
12
  1.7822
12
1.7449
12
  1.6719
4
1.6359
4
CCSD         1.8065
12
1.7243
2
1.7159
2
1.7133
2
1.7636
3
1.7154
3
1.6760
2
1.7853
6
1.8105
12
1.7576
12
1.7323
5
1.7922
6
1.7500
6
1.7282
5
1.7142
2
1.6730
2
CCSD=FULL         1.7677
8
        1.6689
5
1.6488
4
1.7515
8
1.7745
8
1.7182
8
1.6976
7
1.7597
8
1.7122
8
1.6926
7
1.6900
4
1.6423
4
CCSD(T)         1.8207
12
1.7328
2
1.7243
2
1.7223
2
1.7745
3
1.7252
3
1.6840
2
1.7972
6
1.8252
12
1.7717
12
1.7514
10
1.8096
12
1.7638
11
1.7744
6
1.7228
2
1.6813
2
CCSD(T)=FULL         1.8172
12
          1.6621
4
1.7655
8
1.8235
12
1.7677
12
1.7110
7
1.8069
12
1.7487
10
1.7045
6
1.7033
4
1.6547
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 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 2.3926
12
  2.3916
12
  2.4035
12
2.2090
12
1.6816
2
  1.7309
13
ROHF             1.6422
4
  1.6386
4
density functional LSDA             1.6587
4
   
BLYP             1.7154
2
  1.7121
2
B1B95 1.9305
1
          1.6497
4
  1.6473
4
B3LYP 1.9054
12
  1.9036
12
  1.9097
12
1.8987
12
1.6708
4
  1.7860
13
B3LYPultrafine             1.6708
4
  1.6678
4
B3PW91             1.6757
2
  1.6727
2
mPW1PW91             1.6707
2
  1.6677
2
M06-2X             1.6486
4
  1.6453
4
PBEPBE             1.6838
4
  1.7975
13
PBEPBEultrafine             1.6838
4
  1.6812
4
PBE1PBE             1.6515
4
  1.6493
4
HSEh1PBE             1.6541
4
  1.6516
4
TPSSh             1.6699
4
  1.6677
4
wB97X-D 1.8024
4
  1.8019
4
  1.8044
4
1.7957
4
1.6463
4
  1.6440
4
B97D3             1.6831
4
  1.6795
4
Moller Plesset perturbation MP2 1.8958
12
  1.8925
12
  1.9009
12
1.8896
12
1.6435
2
  1.7610
13
MP2=FULL             1.6411
2
  1.6416
2
ROMP2             1.6385
4
  1.6390
4
MP3             1.6387
4
  1.6177
2
MP3=FULL             1.6358
4
  1.6140
2
MP4             1.6603
4
  1.6558
2
MP4=FULL             1.6623
2
   
B2PLYP             1.6681
4
  1.6659
4
B2PLYP=FULL             1.6671
4
  1.6650
4
B2PLYP=FULLultrafine             1.6671
4
  1.6650
4
Configuration interaction CID             1.6550
2
  1.6541
2
CISD             1.6598
2
  1.6580
2
Quadratic configuration interaction QCISD             1.6655
4
  1.6644
4
QCISD(T)             1.6928
2
  1.6918
2
QCISD(T)=FULL             1.6690
4
  1.6681
4
Coupled Cluster CCD             1.6386
4
  1.6386
4
CCSD             1.6779
2
  1.6772
2
CCSD=FULL             1.6502
4
  1.6497
4
CCSD(T)             1.6858
2
  1.6853
2
CCSD(T)=FULL             1.6630
4
  1.6625
4
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.