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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 1.3506
48
PM3 1.3423
49
PM6 1.3192
68
composite G2 1.3907
52
G3 1.3970
50
G3B3 1.4029
70
G3MP2 1.3302
10
G4 1.4302
67
CBS-Q 1.3970
50
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 cc-pV(Q+d)Z aug-cc-pV(T+d)Z cc-pCVDZ cc-pCVTZ cc-pCVQZ aug-cc-pCVTZ Sadlej_pVTZ daug-cc-pVDZ daug-cc-pVTZ
hartree fock HF 1.3557
67
1.3934
68
1.3706
68
1.4024
68
1.3764
70
1.3725
68
1.3496
48
1.3914
68
1.3791
67
1.3723
67
1.3518
54
1.3345
70
1.3712
68
1.3635
68
1.3858
41
1.3790
68
1.3689
67
1.3899
41
1.3895
23
1.3675
34
1.3344
4
1.3759
27
1.3995
21
1.3736
29
1.3271
3
1.4291
12
1.3431
2
1.4012
20
1.3715
63
ROHF 1.3648
2
1.4774
16
1.4526
16
1.5188
15
1.4746
16
1.4595
16
1.3335
14
1.5297
16
1.4830
15
1.3419
2
1.3381
8
1.4220
15
1.4152
16
1.4126
16
1.4239
15
1.4554
15
1.4403
15
1.4353
15
1.3440
6
1.3393
9
1.3421
2
1.3370
8
1.3497
3
1.3366
10
1.3293
1
    1.3387
1
1.3294
1
density functional LSDA 1.3890
39
1.3752
30
1.3791
40
1.4109
40
1.3783
42
1.3765
43
1.3593
43
1.3780
42
1.3741
43
1.3756
43
1.3694
8
1.3962
27
1.3847
42
1.3708
43
1.3813
3
1.3670
41
1.3560
31
1.3813
3
1.4179
23
1.3953
33
1.3636
4
1.4017
27
1.4320
19
1.4006
29
1.3525
3
1.4485
12
  1.3648
2
1.3542
2
BLYP 1.4029
67
1.4191
67
1.3976
60
1.4238
67
1.4035
71
1.3922
68
1.3888
68
1.3970
60
1.3900
67
1.3898
67
1.3943
32
1.4104
48
1.4035
68
1.3863
68
  1.3920
59
1.3890
43
  1.4181
23
1.3964
31
1.3622
4
1.3999
27
1.4319
19
1.3989
29
1.3531
3
1.4471
12
  1.4264
20
1.4150
20
B1B95 1.3818
67
1.3891
28
1.3743
67
1.4010
67
1.3753
67
1.3750
67
1.3718
65
1.3751
67
1.3730
67
1.3718
67
1.3817
30
1.3928
48
1.3824
67
1.3702
67
1.3575
4
1.3685
66
1.3642
50
1.3573
4
1.4019
23
1.3795
33
1.3470
4
1.3863
27
1.4108
21
1.3848
29
1.3379
3
1.4355
12
  1.3573
9
1.4043
19
B3LYP 1.3880
67
1.4039
68
1.3794
68
1.4080
68
1.3933
70
1.3788
68
1.3766
68
1.3802
68
1.3890
49
1.3813
70
1.3677
53
1.3443
70
1.3883
68
1.3747
68
1.3918
41
1.3780
56
1.3548
67
1.3699
41
1.4070
23
1.3835
33
1.3518
4
1.3900
27
1.4158
21
1.3887
29
1.3429
3
1.4382
12
1.3584
2
1.4158
20
1.4052
20
B3LYPultrafine   1.4039
43
    1.3805
67
1.3807
43
1.3792
45
1.3827
43
  1.3904
29
1.3840
32
1.3835
43
1.4092
46
1.3922
49
  1.3892
46
1.3623
68
  1.4172
19
1.3918
27
1.3517
4
1.3974
23
1.4214
19
1.3886
29
1.3428
3
1.4381
12
  1.4158
20
1.4052
20
B3PW91 1.3939
51
1.4017
68
1.3778
68
1.4045
68
1.3771
68
1.3761
68
1.3776
60
1.3792
67
1.3871
49
1.3755
66
1.3847
32
1.3966
48
1.3856
68
1.3738
68
  1.3802
59
1.3798
42
  1.4062
23
1.3870
31
1.3516
4
1.3910
27
1.4209
19
1.3895
29
1.3425
3
1.4404
12
  1.4161
20
1.4065
20
mPW1PW91 1.3903
51
1.3989
67
1.3844
51
1.4014
67
1.3740
68
1.3735
67
1.3711
68
1.3760
68
1.3750
67
1.3754
67
1.3827
32
1.3941
48
1.3828
68
1.3776
56
  1.3710
67
1.3672
49
  1.4038
23
1.3849
31
1.3495
4
1.3891
27
1.4186
19
1.3875
29
1.3405
3
1.4387
12
  1.4139
20
1.4045
20
M06-2X 1.3918
46
1.4120
48
1.3761
71
1.4171
48
1.3328
68
1.3907
48
1.3885
48
1.3904
48
1.3893
48
1.3884
49
1.3728
62
1.3908
48
1.4003
47
1.3856
49
  1.3814
48
1.3694
49
  1.4112
19
1.3802
31
1.3458
4
1.3843
27
1.4152
19
1.3829
29
1.3367
3
1.4327
12
  1.4097
20
1.3993
20
PBEPBE 1.4070
51
1.4163
67
1.4058
51
1.4284
51
1.3914
66
1.3891
67
1.3766
67
1.3916
67
1.3883
67
1.3877
66
1.3783
55
1.4084
48
1.3985
66
1.3854
67
1.3731
4
1.3907
51
1.3782
55
1.3729
4
1.4180
23
1.3956
33
1.3627
4
1.4022
27
1.4266
21
1.4010
29
1.3530
3
1.4511
12
1.3678
2
1.4273
20
1.4175
20
PBEPBEultrafine   1.4169
43
    1.3969
64
1.3916
43
1.3917
43
1.3952
43
  1.4016
29
1.3960
32
1.3948
43
1.4187
46
1.4056
46
  1.4001
46
1.3892
46
  1.4281
19
1.4042
27
1.3627
4
1.4096
23
1.4321
19
1.4009
29
1.3529
3
1.4510
12
  1.4274
20
1.4175
20
PBE1PBE 1.3995
46
1.3917
28
1.3966
46
1.4229
46
1.3858
68
1.3959
46
1.3919
46
1.3975
46
1.3969
46
1.3945
46
1.3844
32
1.3974
46
1.4046
46
1.3933
46
  1.3874
46
1.3773
46
  1.4162
19
1.3868
31
1.3509
4
1.3910
27
1.4204
19
1.3894
29
1.3417
3
1.4409
12
  1.4156
20
1.4065
20
HSEh1PBE 1.3985
48
1.3546
67
1.3951
48
1.4218
48
1.3354
67
1.3940
48
1.3324
67
1.3959
48
1.3951
48
1.3930
48
1.3843
32
1.3959
48
1.4033
48
1.3331
67
  1.3866
48
1.3767
47
  1.4106
21
1.3867
31
1.3510
4
1.3908
27
1.4206
19
1.3893
29
1.3420
3
1.4406
12
  1.4157
20
1.4063
20
TPSSh 1.3886
40
1.4220
45
1.3983
45
1.4238
45
1.3699
70
1.3965
45
1.3662
70
1.3996
45
1.3820
40
1.3880
69
1.3838
32
1.3822
43
1.4071
45
1.3685
70
1.3832
34
1.3879
45
1.3771
45
1.3831
34
1.4145
19
1.3914
27
1.3512
4
1.3971
23
1.4187
19
1.3893
28
1.3425
3
1.4381
12
  1.4145
20
1.4049
20
wB97X-D 1.3838
40
1.3983
40
1.3869
71
1.4011
40
1.3865
71
1.3769
40
1.3857
71
1.3794
40
1.3874
71
1.3762
40
1.3803
32
1.3896
71
1.3902
71
1.3852
71
1.3823
32
1.3881
40
1.3829
71
1.3810
33
1.4128
19
1.3902
26
1.3474
4
1.4026
20
1.4173
19
1.3880
27
1.3390
3
1.4361
12
  1.4125
20
1.4022
20
B97D3 1.3999
38
1.4076
69
1.3894
38
1.4155
38
1.3828
69
1.3877
38
1.3734
69
1.3912
38
1.3800
69
1.3860
38
1.3677
71
1.3902
69
1.3987
38
1.3773
69
1.3911
31
1.3976
38
1.3666
67
1.3925
30
1.4249
18
1.4085
21
1.3550
4
1.4244
16
1.4291
18
1.4069
21
1.3447
2
1.4441
12
  1.4210
20
1.3683
61
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 cc-pV(Q+d)Z aug-cc-pV(T+d)Z cc-pCVDZ cc-pCVTZ cc-pCVQZ aug-cc-pCVTZ Sadlej_pVTZ daug-cc-pVDZ daug-cc-pVTZ
Moller Plesset perturbation MP2 1.3825
51
1.4052
68
1.3735
68
1.4108
68
1.3852
72
1.3633
68
1.3453
66
1.3872
71
1.3640
67
1.3733
62
1.3764
32
1.3324
70
1.3768
68
1.3667
65
1.3894
39
1.3710
56
1.3596
52
1.3721
38
1.3967
23
1.3733
35
1.3417
4
1.3826
27
1.4060
21
1.3795
29
1.3330
3
1.4318
12
1.3579
2
1.4099
20
1.3982
20
MP2=FULL 1.3844
49
1.4121
56
1.3866
49
1.4240
48
1.3752
68
1.3673
60
1.3497
58
1.3799
68
1.3738
49
1.3812
50
1.3747
32
1.3842
48
1.3815
56
1.3713
50
1.3770
39
1.3709
51
1.3623
50
1.3582
39
1.3949
23
1.3696
35
1.3392
4
1.3776
27
1.4053
21
1.3771
29
1.3306
3
1.4285
12
1.3587
2
1.4075
20
1.3943
20
ROMP2 1.3725
9
1.9900
2
1.4647
11
1.5234
11
1.4639
11
1.4335
11
1.6691
11
1.4593
11
1.4137
11
1.4410
11
1.3496
4
1.4146
11
1.4292
11
1.4116
11
1.3525
2
1.3638
11
1.3551
2
1.3529
2
1.3544
3
1.3513
6
1.3510
2
1.3473
5
1.3593
3
1.3464
7
1.3348
1
       
MP3         1.3795
67
  1.3752
70
      1.3838
28
1.3718
43
1.3819
43
1.3706
43
        1.4027
21
1.3844
27
1.3438
4
1.3916
23
1.4132
19
1.3807
29
1.3354
3
1.3369
4
  1.4215
17
1.4144
16
MP3=FULL   1.4060
39
1.3768
38
1.4121
38
1.3705
70
1.3373
30
1.3564
69
1.3811
38
1.3700
39
1.3709
39
1.3821
28
1.3716
43
1.3813
42
1.3681
42
  1.3854
39
1.3722
37
  1.4067
19
1.3807
27
1.3418
4
1.3868
23
1.4126
19
1.3815
27
1.3329
3
1.4303
12
  1.4189
17
1.3423
6
MP4   1.4313
52
    1.3974
52
    1.3518
9
1.3777
47
  1.3981
22
1.3933
41
1.4043
41
1.3803
47
  1.3889
41
1.3788
38
  1.4065
20
1.3922
24
1.3467
4
1.4011
20
1.4252
16
1.3876
26
1.3382
3
1.4361
12
  1.4247
17
1.4132
17
MP4=FULL   1.4393
41
    1.4080
41
      1.3907
40
  1.3991
21
  1.4029
41
1.3929
38
  1.3875
40
1.3456
30
  1.4188
16
1.3908
23
1.3446
4
1.3410
10
1.4248
16
1.3875
25
1.3361
3
1.4333
12
  1.4219
17
1.4094
17
B2PLYP 1.3816
43
1.3997
43
1.3744
43
1.4041
43
1.3179
63
1.3726
43
1.3727
43
1.3774
43
1.3743
43
1.3730
44
1.3796
32
1.3775
43
1.3857
43
1.3502
63
  1.3859
43
1.3722
46
  1.4059
21
1.3841
29
1.3466
4
1.3892
25
1.4160
19
1.3850
28
1.3380
3
1.4343
12
  1.4119
20
1.4011
20
B2PLYP=FULL 1.3816
43
1.3992
43
1.3743
43
1.4041
43
1.3757
43
1.3723
43
1.3724
43
1.3774
43
1.3742
43
1.3729
43
1.3791
32
1.3774
43
1.3853
43
1.3729
43
  1.3853
43
1.3729
43
  1.4110
19
1.3860
27
1.3460
4
1.3918
23
1.4158
19
1.3843
28
1.3374
3
1.4333
12
  1.4112
20
1.4000
20
B2PLYP=FULLultrafine 1.3831
40
1.4015
40
1.3764
40
1.4057
40
1.3744
75
1.3743
40
1.3744
40
1.3794
40
1.3762
40
1.3750
40
1.3791
32
1.3795
40
1.3904
63
1.3764
63
  1.3874
40
1.3595
63
  1.4110
19
1.3879
26
1.3459
4
1.3895
24
1.4158
19
1.3859
27
1.3373
3
1.4333
12
  1.4112
20
1.4000
20
Configuration interaction CID   1.4168
49
1.3853
49
1.4217
49
1.3799
60
    1.3824
52
    1.3384
21
  1.3946
26
1.3740
32
        1.4060
19
1.3803
27
1.3414
4
1.3875
23
1.4107
19
1.3765
29
1.3327
3
1.3328
4
  1.4089
19
1.3372
10
CISD   1.4163
51
1.3856
49
1.4222
49
1.3813
59
1.3312
3
  1.3852
49
    1.3791
28
  1.3972
25
1.3744
32
        1.4139
17
1.3807
27
1.3421
4
1.3404
15
1.4112
19
1.3794
27
1.3335
3
1.4485
10
  1.4093
19
1.3371
11
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 cc-pV(Q+d)Z aug-cc-pV(T+d)Z cc-pCVDZ cc-pCVTZ cc-pCVQZ aug-cc-pCVTZ Sadlej_pVTZ daug-cc-pVDZ daug-cc-pVTZ
Quadratic configuration interaction QCISD   1.4148
64
1.3935
52
1.4303
49
1.3873
56
1.3753
52
1.3732
52
1.3870
56
1.3767
49
1.3816
50
1.3461
21
1.3873
48
1.3886
52
1.3759
52
  1.3772
49
1.3644
46
  1.4001
23
1.3778
33
1.3454
4
1.3445
19
1.4155
19
1.3828
29
1.3369
3
1.3387
4
  1.4166
19
1.3457
10
QCISD(T)         1.4008
51
1.3370
6
1.3376
6
1.3867
38
    1.4047
20
1.3944
42
1.3988
51
1.3890
48
  1.3888
44
1.3772
41
  1.4143
18
1.3828
30
1.3475
4
1.3923
24
1.4269
16
1.3887
26
1.3388
3
1.3411
4
  1.4273
16
1.4183
16
QCISD(T)=FULL         1.3859
36
  1.3716
37
      1.4028
20
  1.3896
36
1.3799
33
1.3485
17
1.3905
37
1.3463
26
1.3495
13
1.4203
16
1.3917
23
1.3454
4
1.4004
19
1.4263
16
1.3923
23
1.3366
3
1.3393
4
  1.4271
16
1.3455
7
QCISD(TQ)         1.3577
14
  1.3465
14
      1.3621
5
  1.3655
14
1.3532
14
1.3542
10
1.3682
14
1.3572
8
1.3511
7
  1.3425
1
  1.3436
1
  1.3428
1
      1.3967
1
1.3844
1
QCISD(TQ)=FULL         1.3577
14
  1.3452
14
      1.3612
5
  1.3638
14
1.3508
12
1.3488
7
1.3664
14
1.3486
7
1.3506
3
  1.3392
1
  1.3383
1
  1.3411
1
      1.3947
1
 
Coupled Cluster CCD   1.4212
52
1.3901
49
1.4286
49
1.3860
62
1.3740
52
1.3725
52
1.3882
52
1.3750
49
1.3815
49
1.3832
29
1.3857
48
1.3871
52
1.3747
52
  1.3759
49
1.3643
44
  1.3992
23
1.3770
33
1.3447
4
1.3437
19
1.4146
19
1.3819
29
1.3361
3
1.4346
12
  1.4189
18
1.3456
8
CCSD         1.3901
52
1.3761
31
1.3761
31
1.3868
34
1.3887
25
1.3713
44
1.3841
29
1.3891
46
1.3884
52
1.3758
52
1.3997
34
1.3868
44
1.3725
45
1.3477
23
1.4048
21
1.3804
31
1.3453
4
1.3855
27
1.4155
19
1.3827
29
1.3367
3
1.4352
12
  1.4199
18
1.4163
16
CCSD=FULL         1.4010
47
        1.3691
44
1.3444
21
1.3888
46
1.3995
45
1.3837
46
1.3968
33
1.3604
37
1.3434
37
1.3459
22
1.4087
19
1.3825
27
1.3429
4
1.3884
23
1.4146
19
1.3818
28
1.3342
3
1.4321
12
  1.4210
17
1.3420
9
CCSD(T)   1.3815
2
    1.4017
50
1.3713
38
1.3730
36
1.3866
38
1.3804
32
1.3863
29
1.3990
22
1.3943
42
1.3984
51
1.3825
46
1.4007
34
1.3802
48
1.3690
43
1.3363
25
1.4080
20
1.3816
31
1.3475
4
1.3923
24
1.4190
18
1.3886
26
1.3387
3
1.4371
12
  1.4255
17
1.4182
16
CCSD(T)=FULL         1.4006
46
          1.4030
20
1.3931
43
1.3924
47
1.3808
44
1.4039
30
1.3781
47
1.3364
33
1.3481
20
1.4062
20
1.3823
28
1.3454
4
1.3875
24
1.4184
18
1.3884
25
1.3366
3
1.3392
4
  1.4231
17
1.3459
7
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 cc-pV(Q+d)Z aug-cc-pV(T+d)Z cc-pCVDZ cc-pCVTZ cc-pCVQZ aug-cc-pCVTZ Sadlej_pVTZ 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 1.4183
68
1.3959
68
1.4088
68
1.3701
68
1.3954
68
1.3925
68
    1.3731
71
ROHF                 1.3373
6
density functional LSDA                 1.3698
5
BLYP                 1.3971
29
B1B95 1.3891
25
1.3610
25
1.3905
2
1.3576
2
1.3774
2
1.3677
2
    1.3830
29
B3LYP 1.4196
68
1.3926
68
1.4191
68
1.3882
68
1.4061
68
1.4026
68
    1.3860
71
B3LYPultrafine                 1.3870
29
B3PW91                 1.3879
29
mPW1PW91                 1.3858
29
M06-2X                 1.3813
29
PBEPBE                 1.3964
71
PBEPBEultrafine                 1.3991
29
PBE1PBE                 1.3877
29
HSEh1PBE                 1.3875
29
TPSSh                 1.3867
29
wB97X-D 1.4130
40
1.3905
40
1.4169
40
1.3907
40
1.4005
40
1.3970
40
    1.3836
29
B97D3                 1.3918
29
Moller Plesset perturbation MP2 1.4364
68
1.4046
68
1.4183
68
1.3821
68
1.4051
68
1.4030
68
    1.3781
71
MP2=FULL                 1.3751
29
ROMP2                 1.3462
2
MP3                 1.3860
25
MP3=FULL                 1.3836
25
MP4                 1.4067
18
MP4=FULL                 1.4007
19
B2PLYP                 1.3821
29
B2PLYP=FULL                 1.3813
29
B2PLYP=FULLultrafine                 1.3813
29
Configuration interaction CID                 1.3792
26
CISD                 1.3817
25
Quadratic configuration interaction QCISD                 1.3862
26
QCISD(T)                 1.4039
19
QCISD(T)=FULL                 1.4135
16
QCISD(TQ)                 1.3624
3
QCISD(TQ)=FULL                 1.3602
3
Coupled Cluster CCD                 1.3853
26
CCSD                 1.3860
26
CCSD=FULL                 1.3834
26
CCSD(T)                 1.4038
19
CCSD(T)=FULL                 1.3433
12
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.