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Comparison of levels of theory for Br-H


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 1.5207
5
PM3 1.5703
5
PM6 1.6148
5
composite G2 1.7872
5
G3 2.0047
5
G3B3 1.7823
5
G3MP2 2.3985
3
G4 1.7736
5
CBS-Q 1.7859
5

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 1.6306
5
1.7984
5
1.7595
5
1.7743
5
1.7939
5
1.7486
5
2.0336
5
1.9531
5
1.8921
5
1.7654
5
1.8980
5
1.9017
5
1.7831
5
1.8402
5
1.8524
5
1.8571
5
1.8648
5
1.4222
3
1.8570
5
1.8647
5
ROHF   2.0664
3
2.0199
3
2.0591
3
2.0745
3
2.0182
3
2.4729
3
2.3370
3
2.2581
3
  2.2719
3
2.2744
3
2.0760
3
2.1739
3
2.1885
3
2.1909
3
2.2067
3
2.2060
3
2.1933
3
2.2062
3
density functional LSDA 1.6369
5
1.7307
3
1.6194
5
1.6296
5
1.6267
5
1.6037
5
1.5816
5
1.6086
5
1.5971
5
1.6000
5
  1.4599
2
1.6102
5
1.5943
5
1.7942
2
1.5320
5
1.5031
4
1.5329
2
   
BLYP 1.6577
5
1.6906
5
1.6585
5
1.6631
5
1.6627
5
1.6470
5
1.6422
5
1.6487
5
1.6391
5
1.6387
5
1.6378
5
1.6368
5
1.6540
5
1.6378
5
  1.6126
5
1.6001
5
  1.4849
5
1.4719
5
B1B95 1.6352
5
1.6326
5
1.6285
5
1.6335
5
1.6361
5
1.6258
5
1.6273
5
1.6245
5
1.6173
5
1.6135
5
1.7375
3
1.6161
5
1.6246
5
1.6164
5
1.8801
2
1.6058
5
1.5914
5
1.8209
2
1.6000
5
1.5893
5
B3LYP 1.6383
5
1.6637
5
1.6360
5
1.6415
5
1.6436
5
1.6258
5
1.6295
5
1.6323
5
1.6228
5
1.6193
5
1.6235
5
1.6219
5
1.6325
5
1.6216
5
1.6177
5
1.6082
5
1.5961
5
1.5940
5
1.6035
5
1.5945
5
B3LYPultrafine   1.6623
5
    1.6428
5
1.6248
5
1.6284
5
1.6314
5
  1.6183
5
1.6235
5
1.6212
5
1.6312
5
1.6207
5
  1.6081
5
1.7741
5
  1.6035
5
1.5945
5
B3PW91 1.6368
5
1.6539
5
1.6254
5
1.6319
5
1.6332
5
1.6142
5
1.6198
5
1.6221
5
1.6109
5
1.6089
5
1.6111
5
1.6098
5
1.6194
5
1.6095
5
  1.5933
5
1.5819
5
  1.5865
5
1.5761
5
mPW1PW91 1.6353
5
1.6491
5
1.6212
5
1.6283
5
1.6298
5
1.6105
5
1.6190
5
1.6199
5
1.6085
5
1.6055
5
1.6099
5
1.6079
5
1.6152
5
1.6073
5
  1.5924
5
1.5804
5
  1.5868
5
1.5762
5
M06-2X 1.6233
5
1.6588
5
1.6309
5
1.6388
5
1.6441
5
1.6259
5
1.6380
5
1.6339
5
1.6263
5
1.6203
5
1.6313
5
1.6268
5
1.6305
5
1.6247
5
  1.6268
5
1.6114
5
  1.6235
5
1.6100
5
PBEPBE 1.6515
5
1.6708
5
1.6385
5
1.6459
5
1.6456
5
1.6266
5
1.6242
5
1.6319
5
1.6199
5
1.6207
5
1.6169
5
1.6181
5
1.6319
5
1.6181
5
1.8495
2
1.5754
5
1.5051
5
1.5401
2
1.4749
5
1.4654
5
PBEPBEultrafine   1.6683
5
    1.6440
5
1.6248
5
1.6210
5
1.6298
5
  1.6189
5
1.6169
5
1.6182
5
1.6297
5
1.6165
5
  1.5755
5
1.5052
5
  1.4749
5
1.4654
5
PBE1PBE 1.6307
5
1.6210
5
1.6210
5
1.6281
5
1.6303
5
1.6289
5
1.6178
5
1.6190
5
1.6074
5
1.6048
5
1.6102
5
1.6081
5
1.6135
5
1.6062
5
  1.5896
5
1.5777
5
  1.5836
5
1.5724
5
HSEh1PBE 1.6314
5
1.6509
5
1.6233
5
1.6302
5
1.6310
5
1.6119
5
1.6218
5
1.6209
5
1.6098
5
1.6068
5
1.6125
5
1.6105
5
1.6162
5
1.6087
5
  1.5928
5
1.5811
5
  1.5870
5
1.5762
5
TPSSh 1.6365
5
1.6551
5
1.6288
5
1.6317
5
1.6424
5
1.6172
5
1.6294
5
1.6278
5
1.6183
5
1.6116
5
1.6204
5
1.6187
5
1.6260
5
1.6317
5
1.6134
5
1.6091
5
1.5990
5
1.5974
5
1.6062
5
1.5970
5
wB97X-D 1.6257
5
1.6488
5
1.6246
5
1.6291
5
1.6330
5
1.6137
5
1.6244
5
1.6238
5
1.6143
5
1.6086
5
1.6192
5
1.6153
5
1.6171
5
1.6149
5
1.6115
5
1.6096
5
1.5966
5
1.5941
5
1.6060
5
1.5945
5
B97D3 1.6574
5
1.6731
5
1.6409
5
1.6458
5
1.6471
5
1.6286
5
1.6225
5
1.6371
5
1.6263
5
1.6217
5
1.6250
5
1.6253
5
1.6398
5
1.6255
5
1.6208
5
1.6106
5
1.5987
5
1.5968
5
1.5975
5
1.5843
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 daug-cc-pVDZ daug-cc-pVTZ
Moller Plesset perturbation MP2 1.6425
5
1.7511
5
1.7183
5
1.7273
5
1.6657
5
1.6810
5
2.0259
5
1.6554
5
1.6599
5
1.6748
5
1.6998
5
1.6753
5
1.6498
5
1.6259
5
1.6280
5
1.6849
5
1.6164
5
1.6116
5
1.6801
5
1.6085
5
MP2=FULL 1.6425
5
1.7503
5
1.7163
5
1.7243
5
1.7480
5
1.6768
5
2.0215
5
1.8189
5
1.6562
5
1.6597
5
1.6935
5
1.6737
5
1.6473
5
1.6151
5
1.6229
5
1.6778
5
1.5946
5
1.5993
5
1.6732
5
1.5787
5
ROMP2 1.4836
1
2.1414
2
2.1414
2
2.1737
2
2.2236
2
2.0834
2
2.9359
2
2.4840
2
2.3314
2
2.0726
2
2.1711
2
2.1416
2
1.9812
2
1.9369
2
  2.1263
2
    2.1155
2
1.8840
2
MP3         1.7404
5
  1.6338
5
      1.6640
5
1.6427
5
1.6322
5
1.6114
5
        1.6480
5
1.5906
5
MP3=FULL   1.7441
5
1.7073
5
1.7176
5
1.6664
5
1.6672
5
1.6384
5
1.7927
5
1.6297
5
1.6497
5
1.6597
5
1.6409
5
1.6302
5
1.6031
5
  1.6489
5
1.5803
5
  1.6428
5
1.5679
5
MP4   1.7412
5
    1.7322
5
      1.6231
5
  1.6483
5
1.6295
5
1.6258
5
1.6045
5
  1.6364
5
1.5896
5
  1.6316
5
1.5837
5
MP4=FULL   1.7404
5
    1.7279
5
      1.6199
5
  1.6436
5
  1.6237
5
1.5963
5
  1.6312
5
1.5724
5
  1.6266
5
1.5612
5
B2PLYP 1.6274
5
1.6638
5
1.6376
5
1.6449
5
1.6500
5
1.6236
5
1.6419
5
1.6384
5
1.6169
5
1.6163
5
1.6261
5
1.6178
5
1.6234
5
1.6281
5
  1.6160
5
1.5967
5
  1.6129
5
1.5939
5
B2PLYP=FULL 1.6274
5
1.6646
5
1.6375
5
1.6445
5
1.6489
5
1.6228
5
1.6411
5
1.6382
5
1.6161
5
1.6139
5
1.6249
5
1.6175
5
1.6229
5
1.6110
5
  1.6150
5
1.5921
5
  1.6118
5
1.5879
5
B2PLYP=FULLultrafine 1.6275
5
1.6638
5
1.6376
5
1.6446
5
1.6485
5
1.6228
5
1.6403
5
1.6383
5
1.6162
5
1.6139
5
1.6250
5
1.6176
5
1.6230
5
1.6112
5
  1.6151
5
1.5922
5
  1.6119
5
1.5879
5
Configuration interaction CID   1.7443
5
1.7103
5
1.7190
5
1.7422
5
    1.7973
5
    1.6794
5
  1.6370
5
1.6251
5
        1.6571
5
1.6078
5
CISD   1.7369
5
1.7070
5
1.7119
5
1.7354
5
    1.7631
5
    1.6654
5
  1.6337
5
1.6214
5
        1.6452
5
1.6037
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 daug-cc-pVDZ daug-cc-pVTZ
Quadratic configuration interaction QCISD   1.7359
5
1.7016
5
1.7109
5
1.7282
5
1.6625
5
2.0209
5
1.7220
5
1.6236
5
1.6517
5
1.6405
5
1.6283
5
1.6284
5
1.6079
5
  1.6293
5
1.5898
5
  1.6252
5
1.5849
5
QCISD(T)         1.7231
5
    1.7101
5
    1.6367
5
1.6239
5
1.6260
5
1.6053
5
  1.6240
5
1.5883
5
  1.6210
5
1.5834
5
QCISD(T)=FULL         1.7197
5
  2.0172
5
      1.6322
5
  1.6240
5
1.5982
5
1.5997
5
1.6201
5
1.5728
5
1.5775
5
1.6172
5
1.5635
5
QCISD(TQ)         1.4590
3
  1.4282
3
      1.4229
1
  1.4396
3
1.4289
3
1.4278
3
1.4422
3
1.4294
3
1.4109
1
1.4265
1
1.4133
1
QCISD(TQ)=FULL         1.4585
3
  1.4266
3
      1.4201
1
  1.4384
3
1.4247
3
  1.4405
3
1.4065
1
  1.4250
1
 
Coupled Cluster CCD   1.7437
5
1.7058
5
1.7184
5
1.7371
5
1.6692
5
2.0270
5
1.7600
5
1.6271
5
1.6591
5
1.6528
5
1.6349
5
1.6296
5
1.6093
5
  1.6432
5
1.5943
5
  1.6370
5
1.5883
5
CCSD         1.7285
5
1.6626
5
2.0219
5
1.7206
5
1.6230
5
1.6518
5
1.6403
5
1.6280
5
1.6283
5
1.6079
5
1.6068
5
1.6294
5
1.5902
5
1.5899
5
1.6254
5
1.5853
5
CCSD=FULL         1.7250
5
        1.6399
5
1.6368
5
1.6261
5
1.6264
5
1.6001
5
1.6017
5
1.6254
5
1.5746
5
1.5802
5
1.6216
5
1.5651
5
CCSD(T)         1.7233
5
1.6594
5
2.0216
5
1.7097
5
1.6198
5
1.6491
5
1.6365
5
1.6238
5
1.6260
5
1.6053
5
1.6047
5
1.6239
5
1.5883
5
1.5876
5
1.6209
5
1.5834
5
CCSD(T)=FULL         1.6470
5
          1.6321
5
1.6221
5
1.6240
5
1.5982
5
1.5996
5
1.6200
5
1.5728
5
1.5777
5
1.6170
5
1.5635
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 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 2.0729
5
  1.9957
5
  1.9102
5
2.1502
5
1.8046
5
  1.8257
5
ROHF             2.1239
3
  2.1509
3
density functional LSDA             1.5947
5
   
BLYP             1.6353
5
  1.6367
5
B1B95 1.4575
1
          1.6107
5
  1.6160
5
B3LYP 1.6967
5
  1.6580
5
  1.6791
5
1.6906
5
1.6170
5
  1.6211
5
B3LYPultrafine             1.6170
5
  1.6209
5
B3PW91             1.6042
5
  1.6090
5
mPW1PW91             1.6012
5
  1.6070
5
M06-2X             1.6179
5
  1.6258
5
PBEPBE             1.6139
5
  1.6174
5
PBEPBEultrafine             1.6139
5
  1.6169
5
PBE1PBE             1.6013
5
  1.6072
5
HSEh1PBE             1.6039
5
  1.6095
5
TPSSh             1.6143
5
  1.6181
5
wB97X-D 1.6958
5
  1.6504
5
  1.6688
5
1.6904
5
1.6090
5
  1.6155
5
B97D3             1.6243
5
  1.6261
5
Moller Plesset perturbation MP2 2.0549
5
  1.9088
5
  1.8698
5
2.1731
5
1.6109
5
  1.6358
5
MP2=FULL             1.6049
5
  1.6279
5
ROMP2             1.7255
3
  1.9625
2
MP3             1.5991
5
  1.6192
5
MP3=FULL             1.5944
5
  1.6125
5
MP4             1.5943
5
  1.6117
5
MP4=FULL             1.5891
5
  1.6047
5
B2PLYP             1.6070
5
  1.6153
5
B2PLYP=FULL             1.6056
5
  1.6138
5
B2PLYP=FULLultrafine             1.6056
5
  1.6138
5
Configuration interaction CID             1.6099
5
  1.6356
5
CISD             1.6077
5
  1.6314
5
Quadratic configuration interaction QCISD             1.5987
5
  1.6144
5
QCISD(T)             1.5968
5
  1.6115
5
QCISD(T)=FULL             1.5921
5
  1.6054
5
QCISD(TQ)                 1.4156
1
QCISD(TQ)=FULL                 1.4128
1
Coupled Cluster CCD             1.5981
5
  1.6163
5
CCSD             1.5988
5
  1.6144
5
CCSD=FULL             1.5939
5
  1.6080
5
CCSD(T)             1.5968
5
  1.6114
5
CCSD(T)=FULL             1.5921
5
  1.6054
5
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.