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Comparison of levels of theory for B-C


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 1.3456
9
PM3 1.4486
7
PM6 1.4050
11
composite G2 1.4579
8
G3 1.4702
9
G3B3 1.4699
9
G4 1.4683
10
CBS-Q 1.4737
9

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-pCVDZ cc-pCVTZ cc-pCVQZ aug-cc-pCVTZ daug-cc-pVDZ daug-cc-pVTZ
hartree fock HF 1.4522
9
1.4876
9
1.4876
9
1.4863
9
1.4866
11
1.4769
9
1.4788
9
1.4743
9
1.4740
9
1.4749
9
1.6123
1
1.4809
11
1.4822
9
1.4734
9
1.4718
9
1.4821
9
1.4737
9
1.4721
9
1.6213
1
1.6142
1
1.6124
1
  1.6204
1
1.4823
11
ROHF   1.4511
1
1.4511
1
1.4515
1
1.4338
1
1.4338
1
1.4335
1
1.4313
1
1.4313
1
    1.4280
1
1.4404
1
1.4318
1
1.4295
1
1.4402
1
1.4312
1
1.4295
1
1.6213
1
1.6142
1
1.6124
1
     
density functional LSDA 1.4565
8
1.4688
8
1.4688
8
1.4674
8
1.4636
8
1.4627
8
1.4640
8
1.4562
8
1.4559
8
1.4596
8
  1.4590
6
1.4667
8
1.4552
8
  1.4644
8
1.4553
8
  1.4864
1
1.4747
1
1.4737
1
     
BLYP 1.4717
9
1.4832
9
1.4832
9
1.4823
9
1.4592
11
1.4854
9
1.4869
9
1.4801
9
1.4798
9
1.4821
9
1.5156
1
1.4812
6
1.4888
9
1.4780
9
  1.4816
5
1.4765
5
  1.5297
1
1.5175
1
1.5154
1
  1.5245
1
1.5171
1
B1B95 1.4544
9
1.4732
9
1.4732
9
1.4719
9
1.4666
9
1.4666
9
1.4673
9
1.4618
9
1.4615
9
1.4636
9
1.5148
1
1.4704
6
1.4694
9
1.4605
9
1.4390
3
1.4679
9
1.4608
9
1.4399
3
1.5233
1
1.5162
1
1.5153
1
  1.5212
1
1.5161
1
B3LYP 1.4607
9
1.4756
9
1.4756
9
1.4747
9
1.4694
9
1.4686
9
1.4703
9
1.4642
9
1.4639
9
1.4658
9
1.5194
1
1.4642
11
1.4726
9
1.4623
9
1.4610
9
1.4708
9
1.4626
9
1.4614
9
1.5313
1
1.5208
1
1.5197
1
  1.5280
1
1.5207
1
B3LYPultrafine   1.4784
5
    1.4694
9
1.4783
5
1.4797
5
1.4738
5
  1.5207
1
1.5194
1
1.4730
5
1.4828
6
1.4739
6
  1.4800
6
1.4720
10
  1.5313
1
1.5208
1
1.5197
1
  1.5280
1
1.5207
1
B3PW91 1.4564
9
1.4748
9
1.4748
9
1.4734
9
1.4683
9
1.4675
9
1.4687
9
1.4630
9
1.4626
9
1.4651
9
1.5117
1
1.4723
6
1.4710
9
1.4614
9
  1.4750
5
1.4701
5
  1.5224
1
1.5133
1
1.5123
1
  1.5199
1
1.5130
1
mPW1PW91 1.4536
9
1.4733
9
1.4733
9
1.4719
9
1.4666
9
1.4658
9
1.4670
9
1.4615
9
1.4612
9
1.4635
9
1.5128
1
1.4709
6
1.4693
9
1.4601
9
  1.4763
6
1.4706
6
  1.5226
1
1.5142
1
1.5132
1
  1.5206
1
1.5140
1
M06-2X 1.4743
6
1.4847
6
1.4801
11
1.4816
6
1.4709
11
1.4817
6
1.4825
6
1.4770
6
1.4765
6
1.4774
6
1.4874
14
1.4759
6
1.4834
6
1.4752
6
  1.4812
6
1.4751
6
  1.5491
1
1.5392
1
1.5379
1
  1.5459
1
1.5384
1
PBEPBE 1.4636
9
1.4806
9
1.4806
9
1.4791
9
1.4832
9
1.4824
9
1.4835
9
1.4774
9
1.4770
9
1.4798
9
1.5036
1
1.4771
6
1.4854
9
1.4758
9
1.4733
3
1.4799
8
1.4730
8
1.4744
3
1.5147
1
1.5050
1
1.5038
1
  1.5115
1
1.5049
1
PBEPBEultrafine   1.4800
5
    1.4844
6
1.4785
5
1.4797
5
1.4738
5
  1.5057
1
1.5036
1
1.4731
5
1.4847
6
1.4764
6
  1.4821
6
1.4764
6
  1.5147
1
1.5049
1
1.5038
1
  1.5115
1
1.5049
1
PBE1PBE 1.4711
6
1.4818
6
1.4818
6
1.4787
6
1.4686
11
1.4784
6
1.4778
6
1.4725
6
1.4720
6
1.4740
6
1.5114
1
1.4713
6
1.4789
6
1.4711
6
  1.4766
6
1.4711
6
  1.5211
1
1.5129
1
1.5117
1
  1.5189
1
1.5126
1
HSEh1PBE 1.4717
6
1.4741
10
1.4815
6
1.4786
6
1.4685
11
1.4771
6
1.4739
10
1.4724
6
1.4719
6
1.4738
6
1.5115
1
1.4711
6
1.4789
6
1.4606
10
  1.4765
6
1.4709
6
  1.5216
1
1.5129
1
1.5119
1
  1.5192
1
1.5126
1
TPSSh 1.4891
3
1.4825
5
1.4825
5
1.4793
5
1.4571
11
1.4823
5
1.4571
11
1.4777
5
1.4886
3
1.4518
9
1.5257
1
1.4767
5
1.4835
5
1.4505
11
1.4854
3
1.4812
5
1.4759
5
1.4854
3
1.5353
1
1.5263
1
1.5251
1
  1.5341
1
1.5268
1
wB97X-D 1.4750
5
1.4788
5
1.4569
11
1.4764
5
1.4534
11
1.4795
5
1.4533
11
1.4752
5
1.4480
11
1.4759
5
1.5228
1
1.4472
11
1.4535
11
1.4467
11
1.4727
5
1.4786
5
1.4467
11
1.4728
5
1.5330
1
1.5228
1
1.5224
1
  1.5312
1
1.5243
1
B97D3 1.5383
1
1.4582
7
1.5238
1
1.5176
1
1.4509
7
1.5293
1
1.4512
7
1.5258
1
1.4463
7
1.5226
1
1.4529
11
1.4938
7
1.5336
1
1.4444
7
1.5201
1
1.5300
1
1.4944
7
1.5200
1
1.5316
1
1.5213
1
1.5203
1
  1.5296
1
1.5065
14
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-pCVDZ cc-pCVTZ cc-pCVQZ aug-cc-pCVTZ daug-cc-pVDZ daug-cc-pVTZ
Moller Plesset perturbation MP2 1.4678
9
1.4896
9
1.4896
9
1.4847
9
1.4583
11
1.4679
9
1.4705
9
1.4584
11
1.4702
9
1.4647
9
1.5404
1
1.4598
11
1.4811
9
1.4662
9
1.4624
9
1.4809
9
1.4669
9
1.4795
6
1.5661
1
1.5433
1
1.5381
1
  1.5640
1
1.5427
1
MP2=FULL 1.4675
9
1.4893
9
1.4893
9
1.4877
9
1.4656
9
1.4655
9
1.4681
9
1.4679
9
1.4684
9
1.4584
9
1.5337
1
1.4813
6
1.4797
9
1.4593
9
1.4571
9
1.4902
8
1.4569
10
1.4730
6
1.5626
1
1.5377
1
1.5312
1
  1.5605
1
1.5351
1
ROMP2 1.4868
1
1.5226
1
1.5226
1
1.5231
1
1.4827
1
1.4827
1
1.4820
1
1.4872
1
1.4872
1
1.4849
1
  1.4771
1
1.5031
1
1.4822
1
  1.5016
1
    1.5655
1
1.5438
1
1.5387
1
     
MP3         1.4688
9
  1.4574
11
        1.4861
5
1.5009
5
1.4848
5
        1.5791
1
1.5556
1
1.5501
1
     
MP3=FULL   1.5008
5
1.5008
5
1.4994
5
1.4544
11
1.4862
5
1.4565
11
1.4864
5
1.4883
5
1.4761
5
  1.4843
5
1.4992
5
1.4770
5
  1.4986
5
1.4783
5
  1.5757
1
1.5502
1
       
MP4   1.5009
7
    1.4788
9
      1.4772
8
    1.4939
6
1.5046
5
1.4820
8
  1.5040
5
1.4931
6
  1.5789
1
1.5521
1
1.5463
1
     
MP4=FULL   1.5064
5
    1.4931
6
      1.4916
5
      1.5028
5
1.4832
6
  1.5020
5
1.4827
6
  1.5754
1
1.5464
1
1.5393
1
     
B2PLYP 1.4835
5
1.4860
5
1.4860
5
1.4838
5
1.4707
10
1.4820
5
1.4833
5
1.4788
5
1.4788
5
1.4772
5
1.5302
1
1.4773
5
1.4864
5
1.4531
9
  1.4844
5
1.4767
5
1.5297
1
1.5463
1
1.5315
1
1.5292
1
  1.5438
1
1.5318
1
B2PLYP=FULL 1.4834
5
1.4859
5
1.4859
5
1.4836
5
1.4821
5
1.4812
5
1.4825
5
1.4781
5
1.4781
5
1.4748
5
1.5280
1
1.4766
5
1.4859
5
1.4742
5
  1.4838
5
1.4747
5
  1.5453
1
1.5299
1
1.5265
1
  1.5429
1
1.5295
1
B2PLYP=FULLultrafine 1.4834
5
1.4859
5
1.4859
5
1.4836
5
1.4954
14
1.4812
5
1.4825
5
1.4781
5
1.4781
5
1.4748
5
1.5280
1
1.4767
5
1.5013
14
1.4889
14
1.5278
1
1.4838
5
1.4891
14
1.5273
1
1.5453
1
1.5306
1
1.5265
1
1.5295
1
1.5429
1
1.5295
1
Configuration interaction CID   1.4929
9
1.4929
9
1.4862
9
1.4690
9
    1.4714
9
    1.5615
1
  1.5897
1
1.5634
1
        1.5877
1
1.5651
1
1.5599
1
  1.5862
1
1.5635
1
CISD   1.4912
9
1.4912
9
1.4923
9
1.4725
9
    1.4743
9
    1.5612
1
  1.5898
1
1.5631
1
        1.5877
1
1.5648
1
1.5595
1
  1.5862
1
1.5633
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) TZVP cc-pVDZ cc-pVTZ cc-pVQZ aug-cc-pVDZ aug-cc-pVTZ aug-cc-pVQZ cc-pCVDZ cc-pCVTZ cc-pCVQZ aug-cc-pCVTZ daug-cc-pVDZ daug-cc-pVTZ
Quadratic configuration interaction QCISD   1.5044
9
1.5044
9
1.5051
9
1.4821
9
1.4828
9
1.4849
9
1.4848
9
1.4861
9
1.4785
9
1.5589
1
1.4904
6
1.4983
9
1.4785
9
  1.5059
6
1.4887
6
  1.5881
1
1.5624
1
1.5564
1
  1.5871
1
1.5612
1
QCISD(T)         1.4829
9
    1.4931
5
    1.5534
1
1.4935
6
1.4997
9
1.4730
8
  1.4996
9
1.4804
9
  1.5824
1
1.5564
1
1.5502
1
  1.5815
1
1.5547
1
QCISD(T)=FULL         1.4900
5
  1.4922
5
      1.5455
1
  1.5043
5
1.4807
5
1.4787
5
1.5032
5
1.4820
5
1.4785
5
1.5788
1
1.5509
1
1.5433
1
  1.5777
1
1.5463
1
QCISD(TQ)         1.4926
5
  1.4950
5
          1.5061
5
1.4463
3
1.3841
1
1.5054
5
1.3886
1
             
QCISD(TQ)=FULL         1.4899
5
  1.4922
5
          1.5293
4
1.4926
3
1.3794
1
1.4845
4
               
Coupled Cluster CCD   1.4862
8
1.4862
8
1.4940
9
1.4715
9
1.4721
9
1.4747
9
1.4748
9
1.4762
9
1.4692
9
  1.4875
6
1.4878
9
1.4699
9
  1.4877
9
1.4706
9
  1.5880
1
1.5634
1
1.5577
1
  1.5873
1
1.5625
1
CCSD         1.4843
8
1.5738
1
1.5729
1
1.5674
1
1.5770
1
1.4872
5
1.5592
1
1.4900
6
1.5067
6
1.4881
6
1.4835
6
1.5056
6
1.4884
6
1.4822
1
1.5881
1
1.5628
1
1.5569
1
  1.5870
1
1.5615
1
CCSD=FULL         1.4894
6
        1.4788
5
1.5512
1
1.4879
6
1.5050
6
1.4797
6
1.4773
6
1.5036
6
1.4798
6
1.4750
1
1.5844
1
1.5571
1
  1.5548
1
1.5831
1
1.5519
1
CCSD(T)         1.4901
8
1.4934
5
1.5661
1
1.4928
5
1.5716
1
1.5543
1
1.5535
1
1.4935
6
1.4954
9
1.4828
8
1.4698
9
1.4952
9
1.4753
9
1.4787
8
1.5825
1
1.5565
1
1.5504
1
  1.5815
1
1.5548
1
CCSD(T)=FULL         1.4864
8
          1.5456
1
1.4915
6
1.5087
6
1.4833
6
1.4718
8
1.5074
6
1.4834
6
1.4721
8
1.5789
1
1.5509
1
1.5434
1
  1.5778
1
1.5464
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) TZVP cc-pVDZ cc-pVTZ cc-pVQZ aug-cc-pVDZ aug-cc-pVTZ aug-cc-pVQZ cc-pCVDZ cc-pCVTZ cc-pCVQZ 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 1.5178
9
1.4990
9
1.5177
9
1.4864
9
1.5005
9
1.5007
9
    1.4490
11
density functional BLYP                 1.5166
1
B1B95                 1.5153
1
B3LYP 1.5052
9
1.4960
9
1.4941
9
1.4828
9
1.4862
9
1.4868
9
    1.4471
11
B3LYPultrafine                 1.5202
1
B3PW91                 1.5125
1
mPW1PW91                 1.5135
1
M06-2X                 1.5386
1
PBEPBE                 1.4515
11
PBEPBEultrafine                 1.5044
1
PBE1PBE                 1.5120
1
HSEh1PBE                 1.5121
1
TPSSh                 1.5263
1
wB97X-D 1.5010
5
1.5032
5
1.4868
5
1.4888
5
1.4820
5
1.4821
5
    1.5238
1
B97D3                 1.5207
1
Moller Plesset perturbation MP2 1.5192
9
1.4944
9
1.4962
9
1.4770
9
1.5012
9
1.5004
9
    1.4550
11
MP2=FULL                 1.5354
1
B2PLYP                 1.5314
1
B2PLYP=FULL                 1.5292
1
B2PLYP=FULLultrafine                 1.5292
1
Configuration interaction CID                 1.5631
1
CISD                 1.5628
1
Quadratic configuration interaction QCISD                 1.5609
1
QCISD(T)                 1.5552
1
QCISD(T)=FULL                 1.5472
1
Coupled Cluster CCD                 1.5621
1
CCSD                 1.5611
1
CCSD=FULL                 1.5529
1
CCSD(T)                 1.5553
1
CCSD(T)=FULL                 1.5473
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.