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Comparison of levels of theory for Si-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 1.4898
87
PM3 1.5228
96
PM6 1.5240
103
composite G2 1.5098
81
G3 1.5090
85
G3B3 1.5231
91
G3MP2 1.4733
20
G4 1.5193
97
CBS-Q 1.5089
85

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 aug-cc-p(Q+d)Z cc-pCVDZ cc-pCVTZ aug-cc-pCVTZ daug-cc-pVDZ daug-cc-pVTZ
hartree fock HF 1.4564
96
1.5183
96
1.5040
98
1.5262
93
1.5071
99
1.5074
95
1.5071
91
1.5067
95
1.5080
95
1.5071
95
1.5104
74
1.5127
100
1.5181
95
1.5100
95
1.5105
86
1.5178
95
1.5094
95
1.5102
86
1.4819
10
1.4748
39
1.4743
4
1.4738
28
  1.4907
11
1.4764
19
1.4720
19
1.5286
63
1.5094
100
ROHF 1.4610
10
1.5153
19
1.4955
19
1.5233
19
1.4978
19
1.4983
19
1.4958
19
1.4975
19
1.4994
19
1.4991
10
1.4727
7
1.4912
12
1.5108
19
1.5017
19
1.4969
19
1.5080
19
1.4992
19
1.4958
19
  1.4843
7
  1.4757
11
    1.4865
4
1.4684
10
1.4972
4
1.4889
4
density functional LSDA 1.4657
52
1.5190
46
1.5069
52
1.5264
52
1.5084
52
1.5075
52
1.5068
52
1.5056
52
1.5057
52
1.5043
52
1.4842
3
1.5061
25
1.5180
52
1.5044
52
1.5257
12
1.5148
52
1.5097
34
1.5244
12
1.5019
10
1.4943
23
1.4877
4
1.4918
28
  1.5067
6
1.4949
17
1.4917
19
   
BLYP 1.4981
98
1.5470
98
1.5285
98
1.5548
95
1.5323
100
1.5309
95
1.5300
95
1.5293
95
1.5285
95
1.5269
95
1.5307
66
1.5331
80
1.5413
95
1.5268
95
  1.5397
78
1.5301
72
  1.4999
10
1.4918
23
1.4852
4
1.4887
28
  1.5049
6
1.4926
17
1.4881
19
1.5472
63
1.5361
63
B1B95 1.4801
98
1.5204
71
1.5147
98
1.5376
95
1.5173
95
1.5173
95
1.5157
95
1.5155
95
1.5153
95
1.5139
95
1.5207
63
1.5199
80
1.5264
95
1.5147
95
1.5127
12
1.5270
89
1.5146
93
1.5113
12
1.4884
10
1.4810
25
1.4771
4
1.4791
28
  1.4934
6
1.4828
17
1.4782
19
1.5535
43
1.5236
63
B3LYP 1.4855
98
1.5321
96
1.5177
98
1.5437
95
1.5208
93
1.5201
95
1.5191
95
1.5186
95
1.5200
91
1.5178
100
1.5176
74
1.5225
100
1.5304
95
1.5174
95
1.5173
86
1.5275
95
1.5167
96
1.5170
86
1.4910
10
1.4818
39
1.4781
4
1.4804
28
  1.4996
11
1.4829
19
1.4795
19
1.5372
63
1.5268
63
B3LYPultrafine   1.5349
73
    1.5217
95
1.5241
72
1.5233
74
1.5225
72
  1.5243
66
1.5213
66
1.5228
79
1.5323
80
1.5187
81
  1.5298
80
1.5167
95
  1.4910
10
1.4849
18
1.4782
4
1.4809
23
  1.4961
6
1.4843
17
1.4795
19
1.5372
63
1.5268
63
B3PW91 1.4868
94
1.5373
98
1.5197
98
1.5434
95
1.5221
95
1.5211
95
1.5201
95
1.5210
95
1.5220
91
1.5187
95
1.5238
66
1.5256
80
1.5312
95
1.5199
95
  1.5316
78
1.5221
75
  1.4930
10
1.4868
23
1.4818
4
1.4839
28
  1.4983
6
1.4863
19
1.4831
19
1.5390
63
1.5294
63
mPW1PW91 1.4837
94
1.5348
98
1.5186
94
1.5410
95
1.5196
95
1.5188
95
1.5177
95
1.5188
95
1.5185
95
1.5166
95
1.5220
66
1.5237
80
1.5289
95
1.5181
95
  1.5277
84
1.5199
80
  1.4911
10
1.4853
23
1.4805
4
1.4825
28
  1.4964
6
1.4862
17
1.4816
19
1.5369
63
1.5276
63
M06-2X 1.4747
83
1.5251
83
1.5072
103
1.5362
80
1.5064
100
1.5156
80
1.5147
80
1.5128
80
1.5132
80
1.5114
83
1.5137
100
1.5161
80
1.5242
80
1.5107
83
  1.5229
80
1.5105
83
  1.4853
10
1.4764
25
1.4746
4
1.4745
28
  1.4902
6
1.4767
19
1.4734
19
1.5305
63
1.5197
63
PBEPBE 1.4983
94
1.5492
98
1.5330
94
1.5577
91
1.5347
95
1.5333
95
1.5323
95
1.5329
95
1.5319
95
1.5303
95
1.5324
72
1.5368
80
1.5440
94
1.5312
95
1.5290
12
1.5422
82
1.5312
84
1.5274
12
1.5039
10
1.4983
26
1.4912
4
1.4946
28
  1.5088
6
1.4970
19
1.4941
19
1.5501
63
1.5403
63
PBEPBEultrafine   1.5527
75
    1.5342
86
1.5371
72
1.5361
72
1.5367
72
  1.5374
66
1.5361
64
1.5362
79
1.5453
80
1.5330
80
  1.5429
80
1.5327
80
  1.5038
10
1.4988
18
1.4912
4
1.4951
23
  1.5087
6
1.4982
17
1.4940
19
1.5501
63
1.5403
63
PBE1PBE 1.4846
83
1.5245
71
1.5212
83
1.5455
80
1.5216
96
1.5240
80
1.5222
80
1.5230
80
1.5227
80
1.5212
80
1.5243
66
1.5260
80
1.5331
80
1.5225
80
  1.5317
80
1.5223
80
  1.4936
10
1.4879
23
1.4830
4
1.4851
28
  1.4988
6
1.4887
17
1.4841
19
1.5391
63
1.5299
63
HSEh1PBE 1.4852
83
1.5294
103
1.5213
83
1.5460
80
1.5140
100
1.5234
80
1.5133
100
1.5230
80
1.5227
80
1.5211
80
1.5240
66
1.5259
80
1.5334
80
1.5117
96
  1.5319
80
1.5220
80
  1.4936
10
1.4874
23
1.4824
4
1.4844
28
  1.4988
6
1.4881
17
1.4835
19
1.5392
63
1.5296
63
TPSSh 1.4858
75
1.5332
82
1.5155
82
1.5392
79
1.5168
100
1.5174
79
1.5151
100
1.5188
79
1.5207
72
1.5148
100
1.5205
66
1.5213
79
1.5276
79
1.5165
100
1.5186
69
1.5266
79
1.5176
79
1.5185
69
1.4886
10
1.4836
23
1.4786
4
1.4808
28
  1.4938
6
1.4845
17
1.4799
19
1.5346
63
1.5257
63
wB97X-D 1.4851
75
1.5313
73
1.5161
103
1.5376
70
1.5177
100
1.5207
72
1.5162
100
1.5193
72
1.5163
100
1.5184
72
1.5191
66
1.5194
100
1.5230
100
1.5160
100
1.5176
69
1.5292
72
1.5157
100
1.5228
60
1.4891
10
1.4794
13
1.4779
4
1.4673
18
  1.4947
6
1.4837
14
1.4783
16
1.5348
63
1.5249
63
B97D3 1.5016
72
1.5455
103
1.5321
72
1.5570
69
1.5297
96
1.5332
69
1.5269
96
1.5337
69
1.5289
100
1.5312
67
1.5224
96
1.5297
96
1.5430
69
1.5329
100
1.5292
66
1.5409
69
1.5250
96
1.5355
57
1.4976
10
1.4870
13
1.4853
4
1.4828
14
  1.5031
6
1.4937
10
1.4865
16
1.5452
63
1.5256
98
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 aug-cc-p(Q+d)Z cc-pCVDZ cc-pCVTZ aug-cc-pCVTZ daug-cc-pVDZ daug-cc-pVTZ
Moller Plesset perturbation MP2 1.4758
94
1.5345
98
1.5106
98
1.5443
95
1.5163
100
1.5056
95
1.5043
95
1.5129
100
1.5061
95
1.5080
92
1.5154
66
1.5116
100
1.5199
95
1.5096
95
1.5125
77
1.5215
94
1.5106
93
1.5121
74
1.4830
10
1.4757
39
1.4737
4
1.4751
28
  1.4916
11
1.4764
19
1.4731
19
1.5312
63
1.5202
63
MP2=FULL 1.4757
94
1.5346
98
1.5116
94
1.5461
91
1.5153
95
1.5044
95
1.5031
95
1.5121
95
1.5066
91
1.5051
92
1.5124
66
1.5116
80
1.5192
95
1.5056
95
1.4997
77
1.5187
82
1.5084
94
1.4966
74
1.4814
10
1.4710
39
1.4603
4
1.4701
28
  1.4911
11
1.4727
19
1.4689
22
1.5276
63
1.5147
63
ROMP2 1.4663
19
1.4821
9
1.4975
19
1.5312
19
1.5019
19
1.4918
19
1.4899
19
1.4988
19
1.4932
19
1.4923
19
1.4752
7
1.4853
10
1.5077
19
1.4971
19
1.4993
10
1.5075
19
1.5024
10
1.4989
10
  1.4734
8
  1.4719
10
    1.4859
4
1.4748
7
1.5003
4
1.4892
4
MP3         1.4924
76
  1.4814
81
      1.4756
36
1.4789
57
1.4884
57
1.4797
57
        1.4838
10
1.4794
23
1.4757
4
1.4768
28
  1.4897
6
1.4796
17
1.4750
19
1.4886
33
1.4777
24
MP3=FULL   1.4995
46
1.4818
46
1.5079
46
1.4945
81
1.4711
46
1.4816
81
1.4810
46
1.4716
46
1.4723
46
1.4727
36
1.4778
57
1.4878
57
1.4762
57
  1.4846
46
1.4741
46
  1.4824
10
1.4749
23
1.4626
4
1.4721
28
  1.4893
6
1.4763
17
1.4714
19
1.4839
24
1.4737
24
MP4   1.5161
70
    1.4974
77
    1.4911
25
1.4831
64
  1.4781
36
1.4829
55
1.4925
55
1.4842
55
  1.4946
55
1.4848
52
  1.4855
10
1.4830
20
1.4776
4
1.4798
25
  1.4917
6
1.4820
17
1.4773
19
1.4897
24
1.4804
24
MP4=FULL   1.5080
58
    1.4917
58
      1.4774
58
  1.4739
27
  1.4914
58
1.4801
49
  1.4907
58
1.4802
58
  1.4840
10
1.4786
20
1.4642
4
1.4752
25
  1.4913
6
1.4789
17
1.4740
19
1.4862
24
1.4763
24
B2PLYP 1.4807
78
1.5348
78
1.5145
78
1.5434
75
1.5093
98
1.5152
75
1.5141
75
1.5161
75
1.5142
75
1.5124
78
1.5172
66
1.5178
75
1.5264
75
1.5133
95
  1.5256
75
1.5124
81
  1.4861
10
1.4750
21
1.4750
4
1.4734
24
  1.4916
6
1.4788
19
1.4755
19
1.5330
63
1.5226
63
B2PLYP=FULL 1.4807
78
1.5351
78
1.5144
78
1.5434
75
1.5191
75
1.5148
75
1.5138
75
1.5161
75
1.5139
75
1.5129
75
1.5164
65
1.5175
75
1.5261
75
1.5138
75
  1.5245
75
1.5135
75
  1.4856
10
1.4746
19
1.4710
4
1.4720
24
  1.4915
6
1.4791
17
1.4744
19
1.5318
63
1.5211
63
B2PLYP=FULLultrafine 1.4824
75
1.5368
75
1.5159
75
1.5455
72
1.5159
102
1.5165
72
1.5155
72
1.5178
72
1.5156
72
1.5146
72
1.5164
66
1.5192
72
1.5246
102
1.5109
102
  1.5261
72
1.5101
98
  1.4856
10
1.4750
13
1.4710
4
1.4704
14
1.4469
1
1.4915
6
1.4795
14
1.4733
19
1.5318
63
1.5211
63
Configuration interaction CID   1.5374
92
1.5141
94
1.5474
89
1.5176
95
    1.5151
94
    1.5166
62
  1.5288
62
1.5161
68
        1.4823
10
1.4772
23
1.4747
4
1.4737
28
  1.4876
6
1.4779
17
1.4724
19
1.5326
59
1.5295
50
CISD   1.5381
92
1.5146
94
1.5481
89
1.5181
95
    1.5167
91
    1.5170
62
  1.5293
62
1.5165
68
        1.4827
10
1.4776
23
1.4750
4
1.4741
28
  1.4880
6
1.4783
17
1.4727
19
1.5329
59
1.5349
46
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 aug-cc-p(Q+d)Z cc-pCVDZ cc-pCVTZ aug-cc-pCVTZ daug-cc-pVDZ daug-cc-pVTZ
Quadratic configuration interaction QCISD 1.4491
2
1.5420
96
1.5214
94
1.5542
89
1.5236
95
1.5102
91
1.5089
91
1.5205
95
1.5098
93
1.5119
90
1.5226
62
1.5159
80
1.5246
94
1.5164
90
  1.5277
80
1.5191
74
  1.4857
10
1.4823
26
1.4777
4
1.4791
28
  1.4919
6
1.4805
19
1.4771
19
1.5386
59
1.5353
50
QCISD(T)   1.5087
2
    1.5258
92
1.4878
12
1.4869
12
1.5237
79
    1.5242
62
1.5215
71
1.5287
87
1.5191
87
  1.5304
87
1.5171
85
  1.4883
6
1.4832
23
  1.4805
28
  1.4932
6
1.4831
17
1.4785
19
1.5403
59
1.5370
50
QCISD(T)=FULL         1.5283
72
  1.5117
72
      1.5285
53
  1.5282
72
1.5157
72
1.5125
58
1.5274
72
1.4898
59
1.5142
52
1.4868
6
1.4758
16
  1.4739
20
  1.4928
6
1.4801
17
1.4751
19
1.5445
50
1.5315
50
QCISD(TQ)         1.4940
20
  1.4781
14
      1.4791
11
  1.4941
14
1.4851
14
1.4821
14
1.4967
20
1.4856
14
1.4953
5
                1.4934
2
1.4836
2
QCISD(TQ)=FULL         1.4937
20
  1.4775
12
      1.4695
5
  1.4939
18
1.4823
12
1.4675
13
1.4932
14
1.4820
14
1.4937
1
  1.4775
3
               
Coupled Cluster CCD 1.4489
2
1.5424
92
1.5181
94
1.5530
89
1.5228
95
1.5092
91
1.5078
91
1.5200
94
1.5104
89
1.5113
89
1.5217
62
1.5150
80
1.5235
94
1.5161
89
  1.5278
87
1.5190
73
  1.4850
10
1.4812
23
1.4772
4
1.4785
28
  1.4941
11
1.4814
17
1.4766
19
1.5377
59
1.5345
50
CCSD   1.5079
2
    1.5232
95
1.5174
67
1.5162
67
1.5273
70
1.5218
59
1.5128
75
1.5224
62
1.5158
80
1.5258
80
1.5150
83
1.5236
62
1.5276
80
1.5190
74
1.4998
39
1.4857
10
1.4806
25
1.4776
4
1.4790
28
  1.4918
6
1.4803
19
1.4771
19
1.5385
59
1.5383
47
CCSD=FULL         1.5235
83
        1.5098
75
1.5195
62
1.5147
80
1.5249
80
1.5110
83
1.5142
57
1.5239
80
1.5158
71
1.4849
41
1.4842
10
1.4760
25
1.4644
4
1.4742
28
  1.4913
6
1.4770
19
1.4734
19
1.5426
50
1.5330
47
CCSD(T)   1.5087
2
    1.5245
91
1.5117
79
1.5133
73
1.5235
79
1.5179
65
1.5196
65
1.5241
62
1.5172
80
1.5276
89
1.5180
89
1.5242
63
1.5294
89
1.5174
87
1.5312
54
1.4883
6
1.4819
27
  1.4804
28
  1.4961
11
1.4831
17
1.4785
19
1.5403
59
1.5291
59
CCSD(T)=FULL         1.5266
87
          1.5214
62
1.5162
80
1.5264
80
1.5139
80
1.5113
63
1.5255
80
1.5210
72
1.5187
51
1.4854
10
1.4788
23
1.4652
4
1.4764
25
  1.4958
11
1.4800
17
1.4751
19
1.5444
50
1.5351
47
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 aug-cc-p(Q+d)Z cc-pCVDZ cc-pCVTZ 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 1.5328
96
1.5222
91
1.5278
96
1.5228
91
1.5047
96
1.5149
96
1.4805
4
  1.5066
103
ROHF                 1.4727
7
density functional LSDA             1.5035
4
  1.4838
3
BLYP             1.5005
4
  1.5286
69
B1B95 1.5160
27
1.5037
30
1.5152
2
1.5062
2
1.4924
2
1.4974
2
1.4897
4
  1.5165
69
B3LYP 1.5491
98
1.5338
91
1.5481
98
1.5355
91
1.5187
96
1.5313
98
1.4910
4
  1.5135
103
B3LYPultrafine             1.4910
4
  1.5194
69
B3PW91             1.4945
4
  1.5220
69
mPW1PW91             1.4928
4
  1.5203
69
M06-2X             1.4836
4
  1.5129
69
PBEPBE             1.5065
4
  1.5262
103
PBEPBEultrafine             1.5065
4
  1.5330
69
PBE1PBE             1.4954
4
  1.5226
69
HSEh1PBE             1.4950
4
  1.5223
69
TPSSh             1.4903
4
  1.5186
69
wB97X-D 1.5463
73
1.5388
68
1.5444
73
1.5403
68
1.5202
73
1.5260
73
1.4899
4
  1.5174
69
B97D3             1.4992
4
  1.5278
69
Moller Plesset perturbation MP2 1.5521
98
1.5310
91
1.5461
98
1.5304
91
1.5224
98
1.5300
98
1.4840
4
  1.5062
103
MP2=FULL             1.4804
4
  1.5083
69
ROMP2                 1.4735
7
MP3             1.4855
4
  1.4739
36
MP3=FULL             1.4818
4
  1.4708
36
MP4             1.4887
4
  1.4738
20
MP4=FULL             1.4851
4
  1.4734
36
B2PLYP             1.4866
4
  1.5148
69
B2PLYP=FULL             1.4855
4
  1.5138
69
B2PLYP=FULLultrafine             1.4855
4
  1.5138
69
Configuration interaction CID             1.4812
4
  1.5127
65
CISD             1.4815
4
  1.5130
65
Quadratic configuration interaction QCISD             1.4878
4
  1.5185
65
QCISD(T)             1.4896
4
  1.5199
65
QCISD(T)=FULL             1.4860
4
  1.5168
65
QCISD(TQ)                 1.4704
5
QCISD(TQ)=FULL                 1.4620
3
Coupled Cluster CCD             1.4871
4
  1.5177
65
CCSD             1.4876
4
  1.5183
65
CCSD=FULL             1.4839
4
  1.5212
56
CCSD(T)             1.4895
4
  1.5198
65
CCSD(T)=FULL             1.4859
4
  1.5230
56
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.