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III.G.1.a.

Comparison of levels of theory for S-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 1.3205
4
PM3 1.3021
32
PM6 1.2702
37
composite G2 1.3289
27
G3 1.3285
35
G3B3 1.3536
32
CBS-Q 1.3294
23
molecular mechanics DREIDING 1.3599
3

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-pV(D+d)Z cc-pV(T+d)Z aug-cc-pV(T+d)Z cc-pCVDZ cc-pCVTZ Sadlej_pVTZ
hartree fock HF 1.3366
35
1.3544
35
1.3290
35
1.3566
35
1.3904
37
1.3297
35
1.3300
35
1.3338
35
1.3338
35
1.3303
35
1.3267
28
1.2801
38
1.3424
35
1.3326
35
1.3335
17
1.3424
35
1.3324
35
1.3339
16
1.3348
4
1.3301
12
1.3274
4
1.3394
4
1.3279
4
1.3431
2
ROHF 1.3648
2
1.3526
4
1.3327
4
1.3639
2
1.3336
5
1.3349
4
1.3357
4
1.3389
4
1.3455
2
1.3419
2
    1.3489
4
1.3397
4
1.3436
2
1.3566
2
1.3460
2
1.3436
2
  1.3301
1
       
density functional LSDA 1.3715
34
1.3889
35
1.3629
34
1.3950
35
1.3639
35
1.3624
35
1.3627
35
1.3661
35
1.3627
35
1.3600
35
    1.3718
34
1.3599
35
1.3813
3
1.3712
33
1.3708
9
1.3813
3
1.3649
4
1.3509
2
       
SVWN   1.2961
33
    1.3773
30
  1.2788
33
                                 
BLYP 1.3825
35
1.3921
34
1.3650
26
1.3971
35
1.3666
33
1.3642
35
1.3642
35
1.3683
26
1.3634
35
1.3613
35
    1.3741
35
1.3597
35
  1.3684
28
    1.3675
4
         
B1B95 1.3632
34
1.3674
34
1.3469
34
1.3763
34
1.3467
35
1.3462
34
1.3457
33
1.3503
34
1.3476
34
1.3451
34
    1.3567
34
1.3444
34
1.3578
4
1.3541
33
1.3583
7
1.3576
4
1.3488
4
1.3407
4
1.3433
2
1.3574
2
1.3444
2
 
B3LYP 1.3685
35
1.3785
35
1.3517
35
1.3830
35
1.3534
35
1.3520
35
1.3520
35
1.3550
35
1.3644
7
1.3498
33
1.3429
28
1.2930
38
1.3623
35
1.3494
34
1.3515
16
1.3637
21
1.3515
21
1.3513
16
1.3556
4
1.3464
12
1.3466
2
1.3624
2
1.3478
2
1.3584
2
B3LYPultrafine         1.3533
34
  1.3492
8
                                 
B3PW91 1.3806
10
1.3769
35
1.3502
35
1.3796
35
1.3505
35
1.3494
35
1.3508
26
1.3540
34
1.3633
7
1.3481
34
    1.3600
35
1.3488
35
  1.3561
28
    1.3533
4
         
mPW1PW91 1.3772
10
1.3738
34
1.3520
10
1.3763
35
1.3476
35
1.3467
34
1.3468
35
1.3513
35
1.3488
35
1.3455
35
    1.3574
35
1.3493
21
  1.3551
31
1.3577
3
  1.3507
4
         
M06-2X         1.2669
33
                                     
PBEPBE 1.3923
10
1.3900
35
1.3674
10
1.3995
10
1.3634
34
1.3614
35
1.3616
35
1.3661
35
1.3624
35
1.3597
34
1.3535
28
  1.3714
34
1.3598
35
1.3731
4
1.3747
6
1.3593
17
1.3729
4
1.3651
4
1.3543
6
1.3590
2
1.3732
2
1.3602
2
1.3678
2
PBEPBEultrafine         1.3610
28
  1.3567
2
                                 
HSEh1PBE         1.2666
32
                          1.3555
2
         
Moller Plesset perturbation MP2FC 1.3686
10
1.3745
35
1.3411
35
1.3791
35
1.3435
35
1.3343
35
1.3349
35
1.3462
32
1.3383
35
1.3407
26
  1.2834
38
1.3517
35
1.3404
31
1.3426
9
1.3563
21
1.3443
16
1.3439
8
1.3439
4
1.3366
12
1.3355
4
1.3483
4
1.3348
4
1.3579
2
MP2FU 1.3768
7
1.3750
21
1.3488
7
1.3828
7
1.3435
35
1.3341
26
1.3345
26
1.3462
35
1.3481
7
1.3487
7
    1.3523
19
1.3440
11
1.3433
7
1.3534
12
1.3434
8
1.3450
6
1.3419
4
1.3332
12
1.3307
4
1.3476
4
1.3328
4
 
ROMP2 1.3821
2
1.3804
2
1.3496
2
1.3838
2
1.3505
2
1.3441
2
1.3449
2
1.3549
2
1.3502
2
1.3535
2
    1.3647
2
1.3543
2
1.3525
2
1.3684
2
1.3551
2
1.3529
2
           
MP3         1.3470
35
                          1.3452
4
         
MP4   1.3843
13
    1.3523
17
    1.3518
9
1.3525
7
        1.3482
16
        1.3480
4
         
B2PLYP         1.2680
33
  1.2655
33
                      1.3518
2
         
Configuration interaction CID   1.3855
7
1.3525
7
1.3895
7
1.3439
26
    1.3515
16
          1.3369
6
                   
CISD   1.3846
13
1.3529
7
1.3914
7
1.3443
26
    1.3591
7
          1.3375
6
                   
Quadratic configuration interaction QCISD   1.3838
30
1.3710
13
1.3944
7
1.4030
21
1.3423
13
1.3417
15
1.3550
21
1.3461
14
1.3545
7
    1.3594
17
1.3477
15
  1.3675
3
    1.3477
4
1.3375
7
       
QCISD(T)         1.3541
17
1.3370
6
1.3376
6
1.3540
9
        1.3626
13
1.3507
13
  1.3747
4
1.3605
4
    1.3376
2
       
Coupled Cluster CCD   1.3853
13
1.3552
7
1.3921
7
1.3501
28
1.3415
13
1.3417
13
1.3553
16
1.3519
7
1.3538
7
    1.3584
17
1.3479
13
  1.3657
9
1.3510
6
  1.3467
4
1.3376
4
  1.3498
2
1.3357
2
 
CCSD         1.3518
16
1.3365
6
1.3363
6
1.3515
9
        1.3566
9
1.3444
9
                   
CCSD(T)   1.3815
2
    1.3515
13
1.3377
10
1.3376
6
1.3540
9
1.3392
2
  1.3437
2
  1.3618
15
1.3498
15
1.3465
1
1.3670
11
1.3531
11
1.3520
4
1.3496
4
1.3430
10
1.3407
4
1.3539
4
1.3398
4
 
CCSD(T)=FULL         1.3646
10
              1.3597
6
1.3443
8
1.3445
1
1.3606
8
1.3396
5
1.3442
1
1.3474
4
1.3374
6
1.3362
4
1.3531
4
1.3380
4
 

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 1.3644
35
1.3397
35
1.3692
35
1.3400
35
1.3552
35
1.3542
35
density functional B1B95 1.3898
28
1.3612
28
1.3936
3
1.3600
3
1.3812
3
1.3705
3
B3LYP 1.3939
35
1.3649
35
1.3966
35
1.3629
34
1.3829
35
1.3779
35
Moller Plesset perturbation MP2FC 1.3881
35
1.3556
35
1.3920
35
1.3540
35
1.3751
35
1.3737
35
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.