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III.G.1.a.

Comparison of levels of theory for C-B


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 1.3015
5
PM3 1.9557
3
PM6 1.2846
5
composite G2 1.4820
5
G3 1.4820
5
G3B3 1.4577
5
CBS-Q 1.4866
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) TZVP cc-pVDZ cc-pVTZ cc-pVQZ aug-cc-pVDZ aug-cc-pVTZ aug-cc-pVQZ
hartree fock HF 1.4560
5
1.4733
5
1.4733
5
1.4712
5
1.4820
5
1.4820
5
1.4839
5
1.4785
5
1.4785
5
1.4862
5
1.4762
5
1.4922
5
1.4777
5
1.4747
5
1.4936
5
1.4788
5
1.4756
5
ROHF 1.3318
1
1.4075
1
1.4075
1
1.4070
1
1.3919
1
1.3919
1
1.3985
1
1.3897
1
1.3897
1
1.3890
1
  1.4004
1
1.3904
1
1.3888
1
1.4027
1
1.3926
1
1.3910
1
density functional LSDA 1.4448
4
1.4708
4
1.4708
4
1.4727
4
1.4586
4
1.4586
4
1.4608
4
1.4515
4
1.4515
4
1.4576
4
  1.4657
4
1.4509
4
1.4535
2
1.4652
4
1.4517
4
1.4543
2
SVWN   1.4619
5
    1.4336
1
  1.4505
5
                   
BLYP 1.4515
5
1.4762
5
1.4762
5
1.4783
5
1.4796
5
1.4796
5
1.4816
5
1.4733
5
1.4733
5
1.4781
5
  1.4854
5
1.4714
5
       
B1B95 1.4368
5
1.4642
5
1.4642
5
1.4653
5
1.4497
5
1.4497
5
1.4445
4
1.4463
5
1.4463
5
1.4493
5
  1.4567
5
1.4454
5
1.4435
5
1.4568
5
1.4536
5
1.4519
5
B3LYP 1.4423
5
1.4730
5
1.4730
5
1.4747
5
1.4577
5
1.4577
5
1.4604
5
1.4531
5
1.4531
5
1.4568
5
1.4518
5
1.4645
5
1.4516
5
1.4498
5
1.4647
5
1.4524
5
1.4508
5
B3LYPultrafine         1.4577
5
                       
B3PW91 1.4387
5
1.4739
5
1.4739
5
1.4650
5
1.4581
5
1.4581
5
1.4602
5
1.4539
5
1.4539
5
1.4576
5
  1.4647
5
1.4529
5
       
mPW1PW91 1.4353
5
1.4617
5
1.4617
5
1.4627
5
1.4562
5
1.4562
5
1.4582
5
1.4523
5
1.4523
5
1.4558
5
  1.4629
5
1.4432
5
       
M06-2X         1.4568
5
                       
PBEPBE 1.4489
5
1.4756
5
1.4756
5
1.4766
5
1.4787
5
1.4787
5
1.4801
5
1.4776
5
1.4776
5
1.4821
5
  1.4833
5
1.4765
5
1.4750
5
1.4736
2
1.4627
2
1.4761
5
HSEh1PBE         1.4567
5
                       
Moller Plesset perturbation MP2FC 1.4230
4
1.4536
4
1.4536
4
1.4499
4
1.4417
4
1.4417
4
1.4458
4
1.4462
4
1.4462
4
1.4411
4
1.4315
5
1.4548
4
1.4437
4
1.4407
4
1.4568
4
1.4446
4
 
MP2FU 1.4228
4
1.4535
4
1.4535
4
1.4498
4
1.4403
4
1.4403
4
1.4444
4
1.4454
4
1.4454
4
1.4378
4
  1.4541
4
1.4391
4
1.4374
4
1.4703
2
1.4566
3
 
ROMP2 1.4120
1
1.4979
1
1.4979
1
1.4900
1
1.4521
1
1.4521
1
1.4512
1
1.4542
1
1.4542
1
1.4547
1
  1.4738
1
1.4478
1
1.4407
1
1.4734
1
1.4490
1
1.4429
1
MP3         1.4462
4
                       
MP4   1.4864
3
    1.4449
5
      1.4507
5
      1.4489
2
       
B2PLYP         1.4585
5
  1.4619
5
                   
Configuration interaction CID   1.4515
3
1.4515
3
1.4491
3
1.4330
3
    1.4393
3
                 
CISD   1.4568
3
1.4568
3
1.4642
3
1.4494
4
    1.4544
4
                 
Quadratic configuration interaction QCISD   1.4937
5
1.4937
5
1.4949
5
1.4534
4
1.4627
5
1.4661
5
1.4744
5
1.4744
5
1.4643
5
  1.4817
5
1.4506
4
       
QCISD(T)         1.4579
3
            1.4925
4
1.4170
2
  1.4803
3
1.4571
3
 
Coupled Cluster CCD   1.4354
4
1.4354
4
1.4496
5
1.4425
5
1.4425
5
1.4472
5
1.4383
5
1.4383
5
1.4302
4
  1.4590
5
1.4433
5
  1.4614
5
1.4275
4
 
CCSD         1.4614
4
                       
CCSD(T)         1.4810
3
            1.4779
4
1.4692
3
1.4487
4
1.4795
4
1.4552
4
1.4524
2
CCSD(T)=FULL         1.4581
3
                1.4445
2
    1.4459
2

average calculated bond lengths (Å)
Methods with effective core potentials (select basis sets)
CEP-31G CEP-31G* CEP-121G CEP-121G* LANL2DZ SDD
hartree fock HF 1.5087
5
1.4660
5
1.5962
5
1.4532
5
1.4937
5
1.4949
5
density functional B3LYP 1.5121
5
1.4885
5
1.5048
5
1.4765
5
1.4932
5
1.4944
5
Moller Plesset perturbation MP2FC 1.4813
4
1.4617
4
1.4703
4
1.4477
4
1.4631
4
1.4624
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.