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III.G.1.a.

Comparison of levels of theory for Be-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 1.3555
2
PM3 1.3076
5
PM6 1.3402
5
composite G2 1.3654
5
G3 1.3654
5
G3B3 1.3665
5
CBS-Q 1.3668
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 cc-pCVDZ cc-pCVTZ
hartree fock HF 1.3153
5
1.3720
5
1.3720
5
1.3725
5
1.3655
5
1.3646
5
1.3486
5
1.3574
5
1.3543
5
1.3589
5
1.3340
3
1.3493
5
1.3657
5
1.3745
2
1.3478
5
1.3688
2
1.3450
5
1.3434
5
1.3372
2
1.3315
2
ROHF 1.3003
1
1.3541
1
1.3541
1
1.3516
1
1.3459
1
1.3451
1
1.3444
1
1.3447
1
1.3411
1
1.3411
1
1.3391
1
  1.3503
1
1.3419
1
  1.3455
1
1.3400
1
     
density functional LSDA 1.3435
5
1.3926
5
1.3926
5
1.3923
5
1.3837
5
1.3825
5
1.3682
5
1.3716
5
1.3699
5
1.3754
5
    1.3863
5
1.3655
5
  1.3712
5
       
SVWN   1.3926
5
    1.3838
5
  1.3683
5
                         
BLYP 1.3491
4
1.3815
5
1.3815
5
1.3809
5
1.3734
5
1.3715
5
1.3576
5
1.3616
5
1.3593
5
1.3652
5
    1.3731
5
1.3846
2
  1.3421
3
       
B1B95 1.3364
5
1.3782
5
1.3782
5
1.3781
5
1.3711
5
1.3699
5
1.3551
5
1.3603
5
1.3576
5
1.3635
5
    1.3713
5
1.3537
5
1.3774
2
1.3563
5
1.3680
2
1.3654
2
   
B3LYP 1.3345
5
1.3741
5
1.3741
5
1.3738
5
1.3666
5
1.3648
5
1.3510
5
1.3557
5
1.3842
2
1.3588
5
1.3313
3
1.3525
5
1.3666
5
1.3764
2
1.3466
5
1.3763
2
1.3434
5
1.3420
5
1.3328
2
1.3253
2
B3LYPultrafine         1.3666
5
                             
B3PW91 1.3755
2
1.3811
5
1.3811
5
1.3808
5
1.3727
5
1.3714
5
1.3567
5
1.3624
5
1.3910
2
1.3653
5
    1.4115
2
1.3831
2
  1.3434
3
       
mPW1PW91 1.3552
3
1.3796
5
1.4245
2
1.3794
5
1.3715
5
1.3703
5
1.3556
5
1.3618
5
1.3590
5
1.3640
5
    1.4099
2
1.3821
2
  1.3425
3
       
M06-2X         1.3672
5
                             
PBEPBE 1.3905
2
1.3907
5
1.4390
2
1.4462
2
1.3821
5
1.3807
5
1.3659
5
1.3713
5
1.3690
5
1.3741
5
1.3445
3
  1.3827
5
1.3646
5
1.3897
2
    1.3771
2
   
PBEPBEultrafine         1.3490
3
                             
HSEh1PBE         1.3737
5
                             
Moller Plesset perturbation MP2FC 1.3671
2
1.3811
5
1.3811
5
1.3825
5
1.3649
5
1.3570
5
1.3428
5
1.3606
5
1.3527
5
1.3719
3
  1.3455
5
1.3652
5
1.3751
2
1.3597
3
1.3668
3
1.3449
5
1.3529
3
1.3352
2
1.3289
2
MP2FU 1.3672
2
1.3809
5
1.4246
2
1.4324
2
1.3642
5
1.3562
5
1.3419
5
1.3600
5
1.3793
2
1.3849
2
    1.3988
2
1.3536
3
1.3542
3
1.3520
5
  1.3537
2
1.3342
2
1.3260
2
MP3         1.3673
5
                             
MP4   1.3904
5
    1.3700
5
    1.3453
3
1.3853
2
        1.3551
5
           
B2PLYP         1.3643
5
  1.3471
5
                         
Configuration interaction CID   1.4364
2
1.4364
2
1.4450
2
1.3708
5
    1.3692
5
                       
CISD   1.3931
5
1.4393
2
1.4479
2
1.3721
5
    1.4062
2
                       
Quadratic configuration interaction QCISD   1.3937
5
1.3923
5
1.4487
2
1.3723
5
1.3597
5
1.3450
5
1.3712
5
1.3563
5
1.3911
2
    1.3693
5
1.3564
5
           
QCISD(T)         1.3729
5
1.3329
3
1.3336
3
1.3482
3
        1.4060
2
1.3835
2
  1.3834
2
1.3701
2
     
Coupled Cluster CCD   1.3916
5
1.4370
2
1.4455
2
1.3708
5
1.3581
5
1.3436
5
1.3696
5
1.3856
2
1.3896
2
    1.3678
5
1.3822
2
  1.3817
2
1.3683
2
  1.3358
2
1.3320
2
CCSD         1.3412
4
1.3324
3
1.3332
3
1.3476
3
                       
CCSD(T)   1.3806
1
    1.3729
5
1.3328
3
1.3336
3
1.3482
3
1.3471
1
  1.3501
1
  1.3698
5
1.3570
5
1.3780
2
1.3611
5
1.3511
5
1.3671
2
1.3369
2
1.3326
2
CCSD(T)=FULL         1.4138
2
                  1.3722
2
    1.3605
2
1.3358
2
1.3295
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 1.3822
5
1.3615
5
1.3593
5
1.3589
5
1.3702
5
1.3562
5
density functional B1B95 1.3561
3
1.3418
3
       
B3LYP 1.3829
5
1.3659
5
1.3662
5
1.3639
5
1.3710
5
1.3589
5
Moller Plesset perturbation MP2FC 1.3954
5
1.3692
5
1.3713
5
1.3624
5
1.3809
5
1.3647
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.