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Comparison of levels of theory for Br-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 2.2133
3
PM3 2.4801
3
PM6 2.3821
3
composite G2 2.5002
5
G3 2.5101
5
G3B3 2.5577
5
G3MP2 2.4613
3
G4 2.5454
5
CBS-Q 2.4947
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 2.4299
3
2.5846
3
2.4291
3
2.5618
3
2.4555
3
2.4555
3
2.4578
3
2.4672
3
2.4672
3
2.4320
3
2.4502
3
2.4702
3
2.4683
3
2.4525
3
2.4499
3
2.4729
3
2.4514
3
2.4488
3
2.4724
3
2.4513
3
ROHF   2.6519
2
2.5062
2
2.6251
2
2.5356
2
2.5356
2
2.5364
2
2.5487
2
2.5487
2
  2.5293
2
2.5501
2
2.5507
2
2.5329
2
2.5293
2
2.5519
2
2.5296
2
2.5276
2
2.5508
2
2.5295
2
density functional LSDA 2.4730
3
2.4664
3
2.4045
3
2.5662
3
2.4431
3
2.4431
3
2.4398
3
2.4564
3
2.4564
3
2.4145
3
    2.4604
3
2.4353
3
  2.4540
3
2.5100
2
     
BLYP 2.5385
3
2.6931
3
2.5067
3
2.6625
3
2.5389
3
2.5559
3
2.5501
3
2.5760
3
2.5758
3
2.5186
3
2.5496
3
2.5761
3
2.5776
3
2.5561
3
  2.5702
3
2.5504
3
  2.5700
3
2.5501
3
B1B95 2.4774
3
2.4931
3
2.4320
3
2.5830
3
2.4651
3
2.4661
3
2.5967
2
2.4809
3
2.4809
3
2.4389
3
2.4552
3
2.4805
3
2.4843
3
2.4611
3
  2.4801
3
2.4580
3
  2.6143
2
2.4565
3
B3LYP 2.5011
3
2.6411
3
2.4678
3
2.6173
3
2.5077
3
2.5077
3
2.5056
3
2.5229
3
2.5227
3
2.4767
3
2.4999
3
2.5246
3
2.5247
3
2.5046
3
2.5008
3
2.5212
3
2.5010
3
2.4991
3
2.5212
3
2.5010
3
B3LYPultrafine   2.6421
3
    2.5079
3
2.5079
3
2.5057
3
2.5229
3
  2.4766
3
2.4999
3
2.5246
3
2.5249
3
2.5046
3
  2.5214
3
2.4950
3
  2.5212
3
2.5010
3
B3PW91 2.4885
3
2.6168
3
2.4412
3
2.5931
3
2.4766
3
2.4766
3
2.4745
3
2.4892
3
2.4890
3
2.4488
3
2.4660
3
2.4908
3
2.4932
3
2.4706
3
  2.4896
3
2.4675
3
  2.4892
3
2.4673
3
mPW1PW91 2.4440
3
2.6044
3
2.4307
3
2.5818
3
2.4644
3
2.4644
3
2.4630
3
2.4767
3
2.4766
3
2.4379
3
2.4539
3
2.4785
3
2.4805
3
2.4585
3
  2.4775
3
2.4552
3
  2.4772
3
2.4551
3
M06-2X 2.4536
3
2.5966
3
2.4358
3
2.5619
3
2.4496
3
2.4499
3
2.4496
3
2.4636
3
2.4636
3
2.4271
3
2.4440
3
2.4688
3
2.4655
3
2.4494
3
  2.4644
3
2.4471
3
  2.4643
3
2.4467
3
PBEPBE 2.5115
3
2.6448
3
2.4615
3
2.6212
3
2.5018
3
2.5018
3
2.4984
3
2.5178
3
2.5175
3
2.4717
3
2.4916
3
2.5191
3
2.5212
3
2.4975
3
  2.5160
3
2.4929
3
  2.5154
3
2.4925
3
PBEPBEultrafine   2.6456
3
    2.5022
3
2.5022
3
2.4986
3
2.5178
3
  2.4718
3
2.4916
3
2.5191
3
2.5214
3
2.4976
3
  2.5157
3
2.4929
3
  2.5154
3
2.4925
3
PBE1PBE 2.4732
3
2.4272
3
2.4272
3
2.5803
3
2.4607
3
2.4605
3
2.4592
3
2.4733
3
2.4733
3
2.4342
3
2.4499
3
2.4752
3
2.4772
3
2.4548
3
  2.4743
3
2.4516
3
  2.4739
3
2.4514
3
HSEh1PBE 2.4761
3
2.6088
3
2.4333
3
2.5870
3
2.4673
3
2.4673
3
2.4659
3
2.4814
3
2.4814
3
2.4402
3
2.4578
3
2.4832
3
2.4845
3
2.4625
3
  2.4813
3
2.4593
3
  2.4809
3
2.4591
3
TPSSh 2.4978
3
2.6273
3
2.4493
3
2.6014
3
2.5239
5
2.4837
3
2.4819
3
2.4977
3
2.4977
3
2.4543
3
2.4745
3
2.4997
3
2.5503
5
2.4770
3
2.4758
3
2.4971
3
2.4761
3
2.4740
3
2.4969
3
2.4759
3
wB97X-D 2.4704
3
2.5925
3
2.4305
3
2.5723
3
2.4620
3
2.4620
3
2.4624
3
2.4755
3
2.4755
3
2.4368
3
2.4567
3
2.4781
3
2.4765
3
2.4603
3
2.4576
3
2.4771
3
2.4581
3
2.4561
3
2.4767
3
2.4577
3
B97D3 2.5360
3
2.6732
3
2.4888
3
2.6428
3
2.5337
3
2.5337
3
2.5305
3
2.5519
3
2.5519
3
2.4999
3
2.5292
3
2.5529
3
2.5511
3
2.5327
3
2.5290
3
2.5471
3
2.5287
3
2.5268
3
2.5470
3
2.5284
3
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 2.4600
3
2.6430
3
2.4355
3
2.6297
3
2.4774
3
2.4717
3
2.4738
3
2.4757
3
2.4728
3
2.4301
3
2.4393
3
2.4706
3
2.4788
3
2.4313
3
2.4144
3
2.4852
3
2.4290
3
2.4125
3
2.4839
3
2.4271
3
MP2=FULL 2.4599
3
2.6431
3
2.4338
3
2.6294
3
2.4648
3
2.4648
3
2.4667
3
2.4681
3
2.4681
3
2.4177
3
2.4278
3
2.4695
3
2.4773
3
2.4243
3
2.4108
3
2.4843
3
2.4158
3
2.4066
3
2.4826
3
2.4114
3
ROMP2 2.5343
2
2.5122
2
2.5122
2
2.7086
2
2.5531
2
2.5531
2
2.5563
2
2.5590
2
2.5591
2
2.5138
2
2.5222
2
2.5530
2
2.5625
2
2.5120
2
  2.5704
2
    2.5675
2
2.5047
2
MP3         2.4837
3
  2.4895
3
      2.4572
3
2.4843
3
2.4903
3
2.4499
3
        2.4992
3
2.4463
3
MP3=FULL   2.6467
3
2.4446
3
2.6324
3
2.4833
3
2.4773
3
2.4869
3
2.4823
3
2.4823
3
2.4336
3
2.4494
3
2.4839
3
2.4891
3
2.4440
3
  2.4998
3
2.4368
3
  2.4979
3
2.4325
3
MP4   2.6532
3
    2.4862
3
      2.4925
3
  2.4606
3
2.4913
3
2.4952
3
2.4534
3
  2.5051
3
2.4507
3
  2.5040
3
2.4495
3
MP4=FULL   2.6530
3
    2.4792
3
      2.4891
3
  2.2498
2
  2.4935
3
2.4456
3
  2.5040
3
2.2490
2
  2.5019
3
2.4335
3
B2PLYP 2.4787
3
2.6361
3
2.4499
3
2.6178
3
2.4875
3
2.4873
3
2.4885
3
2.4986
3
2.4986
3
2.4541
3
2.4727
3
2.4992
3
2.5008
3
2.4742
3
  2.5025
3
2.4700
3
  2.5019
3
2.4692
3
B2PLYP=FULL 2.4787
3
2.6359
3
2.4494
3
2.6177
3
2.4851
3
2.4850
3
2.4861
3
2.4973
3
2.4973
3
2.4502
3
2.4692
3
2.4989
3
2.5002
3
2.4700
3
  2.5021
3
2.4657
3
  2.5013
3
2.4640
3
B2PLYP=FULLultrafine 2.4787
3
2.6361
3
2.4494
3
2.6177
3
2.5270
5
2.4850
3
2.4859
3
2.4973
3
2.4973
3
2.4502
3
2.4692
3
2.4989
3
2.5516
5
2.5198
5
  2.5021
3
2.5158
5
  2.5013
3
2.4640
3
Configuration interaction CID   2.6381
3
2.4373
3
2.6232
3
2.4726
3
    2.4744
3
    2.4442
3
  2.4792
3
2.4362
3
        2.4830
3
2.4310
3
CISD   2.6415
3
2.4381
3
2.6271
3
2.4735
3
    2.4764
3
    2.4455
3
  2.4804
3
2.4369
3
        2.4842
3
2.4318
3
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   2.6498
3
2.4457
3
2.6367
3
2.4825
3
2.4825
3
2.4867
3
2.4864
3
2.4864
3
2.4438
3
2.4570
3
2.4848
3
2.4902
3
2.4493
3
  2.4993
3
2.4464
3
  2.4979
3
2.4445
3
QCISD(T)         2.4876
3
    2.4942
3
    2.4633
3
2.4926
3
2.4971
3
2.4553
3
  2.5077
3
2.4539
3
  2.5065
3
2.4516
3
QCISD(T)=FULL         2.4808
3
  2.4861
3
      2.4541
3
  2.4955
3
2.4482
3
2.4339
3
2.5066
3
2.4401
3
2.4308
3
2.5051
3
2.4362
3
Coupled Cluster CCD   2.6457
3
2.4441
3
2.6318
3
2.4807
3
2.4807
3
2.4846
3
2.4828
3
2.4828
3
2.4415
3
2.4537
3
2.4816
3
2.4877
3
2.4464
3
  2.4963
3
2.4441
3
  2.4949
3
2.4421
3
CCSD         2.4824
3
2.4824
3
2.4866
3
2.4858
3
2.4858
3
2.4436
3
2.4567
3
2.4844
3
2.4899
3
2.4490
3
2.4317
3
2.4991
3
2.4464
3
2.4298
3
2.4977
3
2.4446
3
CCSD=FULL         2.4756
3
        2.4325
3
2.4472
3
2.4829
3
2.4883
3
2.4425
3
2.4281
3
2.4980
3
2.4341
3
2.4241
3
2.4959
3
2.4295
3
CCSD(T)         2.4874
3
2.4876
3
2.4932
3
2.4939
3
2.4939
3
2.4489
3
2.4631
3
2.4924
3
2.4968
3
2.4555
3
2.4377
3
2.5072
3
2.4539
3
2.4355
3
2.5063
3
2.4515
3
CCSD(T)=FULL         2.4807
3
          2.4539
3
2.4909
3
2.4954
3
2.4481
3
2.4338
3
2.5064
3
2.4400
3
2.4301
3
2.5049
3
2.4361
3
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 2.5564
3
  2.5564
3
  2.6058
3
2.5624
3
2.4469
3
  2.4550
3
ROHF             2.4415
3
  2.5361
2
density functional LSDA             2.5552
2
   
BLYP             2.5549
3
  2.5578
3
B1B95 2.4281
1
          2.4592
3
  2.4626
3
B3LYP 2.6218
3
  2.6218
3
  2.6733
3
2.6257
3
2.5030
3
  2.5066
3
B3LYPultrafine             2.5030
3
  2.5066
3
B3PW91             2.4692
3
  2.4728
3
mPW1PW91             2.4567
3
  2.4607
3
M06-2X             2.4475
3
  2.4524
3
PBEPBE             2.4970
3
  2.5000
3
PBEPBEultrafine             2.4970
3
  2.5000
3
PBE1PBE             2.4531
3
  2.4573
3
HSEh1PBE             2.4609
3
  2.4648
3
TPSSh             2.4778
3
  2.4813
3
wB97X-D 2.5699
3
  2.5699
3
  2.6205
3
2.5735
3
2.4588
3
  2.4623
3
B97D3             2.5325
3
  2.5347
3
Moller Plesset perturbation MP2 2.6359
3
  2.6359
3
  2.6759
3
2.6357
3
2.4259
3
  2.4344
3
MP2=FULL             2.4223
3
  2.4302
3
ROMP2             2.5054
2
  2.5180
2
MP3             2.4443
3
  2.4533
3
MP3=FULL             2.4409
3
  2.4499
3
MP4             2.4475
3
  2.4562
3
MP4=FULL             2.4432
3
  2.4520
3
B2PLYP             2.4691
3
  2.4754
3
B2PLYP=FULL             2.4678
3
  2.4739
3
B2PLYP=FULLultrafine             2.4678
3
  2.4739
3
Configuration interaction CID             2.4307
3
  2.4370
3
CISD             2.4316
3
  2.4378
3
Quadratic configuration interaction QCISD             2.4436
3
  2.4528
3
QCISD(T)             2.4495
3
  2.4584
3
QCISD(T)=FULL             2.4456
3
  2.4540
3
Coupled Cluster CCD             2.4408
3
  2.4498
3
CCSD             2.4434
3
  2.4526
3
CCSD=FULL             2.4397
3
  2.4481
3
CCSD(T)             2.4493
3
  2.4582
3
CCSD(T)=FULL             2.4456
3
  2.4540
3
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.