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Comparison of levels of theory for S-C


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 1.6461
74
PM3 1.6924
70
PM6 1.7151
162
composite G2 1.7306
70
G3 1.7279
67
G3B3 1.7838
154
G3MP2 1.7591
15
G4 1.7701
158
CBS-Q 1.7264
65

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 aug-cc-pCVTZ Sadlej_pVTZ daug-cc-pVDZ daug-cc-pVTZ
hartree fock HF 1.7503
155
1.8284
165
1.7571
157
1.8217
155
1.7606
166
1.7591
154
1.7295
81
1.7601
156
1.7599
155
1.7554
156
1.7660
132
1.7330
164
1.7653
156
1.7557
155
1.6874
41
1.7666
156
1.7562
155
1.6892
40
1.7439
3
1.7068
32
1.6670
5
1.6662
5
1.7197
13
  1.8117
2
1.7279
23
1.7559
136
ROHF 1.6293
4
1.7649
13
1.6983
14
1.7598
13
1.6777
15
1.7039
14
1.7031
14
1.7031
14
1.6947
13
1.6020
4
1.7691
5
1.7381
9
1.7085
14
1.6988
14
1.6876
12
1.6917
13
1.6704
13
1.6651
12
  1.5895
1
    1.6964
2
    1.8356
1
1.8259
1
density functional LSDA 1.7876
109
1.8345
106
1.7662
108
1.8276
110
1.7628
122
1.7651
123
1.7646
123
1.7624
120
1.7653
121
1.7551
123
1.7445
5
1.7242
16
1.7681
122
1.7556
123
1.5937
4
1.7674
121
1.7045
33
1.5874
4
1.7317
3
1.7007
18
1.6564
5
1.8054
2
1.7368
11
       
BLYP 1.8120
153
1.8679
157
1.7776
107
1.8666
156
1.7853
171
1.7996
156
1.7987
154
1.7792
104
1.7987
155
1.7899
155
1.7521
38
1.7671
57
1.8020
153
1.7893
154
  1.8164
137
1.7651
53
  1.7765
3
1.7405
18
1.6922
5
1.8627
2
1.7827
11
    1.7652
23
1.7528
23
B1B95 1.7737
153
1.7422
42
1.7588
153
1.8192
153
1.7567
153
1.7590
152
1.7591
154
1.7574
152
1.7577
152
1.7509
150
1.7147
37
1.7298
57
1.7621
152
1.7499
153
1.5808
6
1.7680
145
1.7280
79
1.5932
4
1.7382
3
1.6898
20
1.6630
5
1.6666
5
1.7153
13
    1.7146
17
1.7078
21
B3LYP 1.7891
156
1.8465
165
1.7752
158
1.8406
157
1.7799
164
1.7778
156
1.7788
161
1.7763
156
1.7354
76
1.7720
164
1.7788
122
1.7426
164
1.7813
156
1.7702
154
1.6975
40
1.7548
88
1.7707
163
1.6898
38
1.7571
3
1.7187
32
1.6759
5
1.6805
5
1.7310
13
  1.8234
2
1.7449
23
1.7331
23
B3LYPultrafine   1.8148
54
    1.7758
154
1.7541
53
1.7690
71
1.7520
53
  1.7364
37
1.7333
38
1.7559
53
1.7494
57
1.7635
93
  1.7496
57
1.7686
166
  1.8292
2
1.7213
18
1.6759
5
1.8403
2
1.7631
11
    1.7449
23
1.7331
23
B3PW91 1.7448
77
1.8306
155
1.7644
156
1.8271
155
1.7812
154
1.7816
154
1.7475
102
1.7640
153
1.7258
76
1.7587
155
1.7242
38
1.7380
57
1.7698
153
1.7569
152
  1.7830
137
1.7392
58
  1.7456
3
1.7126
18
1.6681
5
1.8253
2
1.7529
11
    1.7352
23
1.7240
23
mPW1PW91 1.7364
78
1.8255
156
1.7259
84
1.8221
156
1.7613
157
1.7618
155
1.7616
156
1.7607
156
1.7608
155
1.7546
155
1.7205
38
1.7341
57
1.7645
153
1.7278
88
  1.7753
142
1.7282
58
  1.7413
3
1.7089
18
1.6651
5
1.8201
2
1.7491
11
    1.7309
23
1.7200
23
M06-2X 1.7325
57
1.7845
56
1.7641
168
1.7852
57
1.7260
154
1.7324
57
1.7316
57
1.7308
57
1.7309
57
1.7284
62
1.7186
102
1.7338
57
1.7337
56
1.7266
63
  1.7357
57
1.7284
62
  1.7445
3
1.7090
18
1.6673
5
1.8241
2
1.7510
11
    1.7303
23
1.7198
23
PBEPBE 1.7608
77
1.8457
157
1.7333
73
1.7972
72
1.7780
155
1.7795
155
1.7790
155
1.7780
155
1.7785
155
1.7713
153
1.7992
128
1.7498
57
1.7810
149
1.7710
156
1.5967
6
1.7578
60
1.7599
76
1.5922
6
1.7565
3
1.7011
21
1.6789
5
1.7000
4
1.7335
13
  1.8216
2
1.7474
23
1.7364
23
PBEPBEultrafine   1.8146
55
    1.7869
147
1.7562
53
1.7554
53
1.7540
53
  1.7391
37
1.7358
38
1.7576
53
1.7514
57
1.7382
58
  1.7514
57
1.7401
57
  1.8247
2
1.7250
18
1.6789
5
1.8350
2
1.7644
11
    1.7474
23
1.7364
23
PBE1PBE 1.7404
58
1.7297
41
1.7279
58
1.7852
58
1.7593
157
1.7314
57
1.7302
57
1.7291
57
1.7293
57
1.7240
57
1.7197
38
1.7331
57
1.7343
57
1.7219
58
  1.7347
57
1.7239
57
  1.8079
2
1.7073
15
1.6648
5
1.8181
2
1.7480
11
    1.7299
23
1.7192
23
HSEh1PBE 1.7415
58
1.7715
156
1.7282
58
1.7864
58
1.7237
153
1.7319
57
1.7201
151
1.7300
56
1.7301
57
1.7247
57
1.7208
37
1.7339
57
1.7352
57
1.7181
154
  1.7355
57
1.7229
56
  1.7411
3
1.7089
18
1.6653
5
1.8195
2
1.7489
11
    1.7307
23
1.7199
23
TPSSh 1.7653
54
1.8118
55
1.7460
55
1.8097
54
1.7661
166
1.7511
53
1.7665
165
1.7492
53
1.7495
53
1.7675
168
1.7311
38
1.7534
53
1.7548
52
1.7597
166
1.7335
29
1.7548
53
1.7435
53
1.7331
29
1.8252
2
1.7265
17
1.6749
5
1.8359
2
1.7609
11
    1.7419
23
1.7306
23
wB97X-D 1.7520
54
1.7978
54
1.7601
171
1.7972
53
1.7610
170
1.7420
53
1.7613
167
1.7403
53
1.7602
169
1.7351
53
1.7226
38
1.7630
169
1.7625
169
1.7547
170
1.7206
27
1.7459
53
1.7554
169
1.7278
27
1.8136
2
1.7178
17
1.6669
5
1.8244
2
1.7510
11
    1.7329
23
1.7219
23
B97D3 1.7830
50
1.8245
167
1.7556
51
1.8254
50
1.7754
168
1.7628
49
1.7760
167
1.7604
49
1.7745
167
1.7549
49
1.7630
167
1.7863
167
1.7657
49
1.7683
168
1.7379
26
1.7663
49
1.7754
167
1.7410
24
1.8312
2
1.7391
16
1.6792
5
1.8427
2
1.7814
9
    1.7489
23
1.7391
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 aug-cc-pV(T+d)Z cc-pCVDZ cc-pCVTZ aug-cc-pCVTZ Sadlej_pVTZ daug-cc-pVDZ daug-cc-pVTZ
Moller Plesset perturbation MP2 1.7462
77
1.8505
166
1.7695
158
1.8454
156
1.7589
172
1.7584
156
1.7609
164
1.7572
168
1.7563
155
1.7455
114
1.7209
38
1.7326
164
1.7700
156
1.7439
122
1.7067
34
1.7498
89
1.7236
81
1.7064
34
1.7508
3
1.7100
32
1.6707
5
1.6797
5
1.7214
13
  1.8198
2
1.7408
23
1.7228
23
MP2=FULL 1.7460
77
1.8201
92
1.7312
80
1.8059
79
1.7532
156
1.7404
105
1.7401
105
1.7555
155
1.7179
76
1.7116
76
1.7166
38
1.7341
57
1.7452
90
1.7191
87
1.7028
34
1.7378
59
1.7116
68
1.7071
33
1.7484
3
1.7009
34
1.6639
5
1.6775
5
1.7173
13
  1.8186
2
1.7384
23
1.7163
23
ROMP2 1.7368
8
1.7220
4
1.6987
8
1.7810
8
1.6913
8
1.6909
8
1.6892
8
1.6871
8
1.6870
8
1.6839
8
1.7700
2
1.7109
6
1.7026
8
1.6853
8
1.6361
1
1.7047
8
1.6336
3
1.6361
1
  1.6095
1
1.5556
1
  1.7741
1
       
MP3         1.7600
154
  1.7550
164
      1.7140
34
1.7427
51
1.7477
51
1.7314
52
        1.7534
3
1.7194
17
1.6720
5
1.8322
2
1.7544
11
    1.7230
19
1.6983
15
MP3=FULL   1.8164
48
1.7414
47
1.8075
48
1.7546
162
1.7303
47
1.7544
160
1.7300
47
1.7315
48
1.7255
48
1.7058
30
1.7421
49
1.7438
48
1.7215
47
  1.7488
48
1.7032
33
  1.8208
2
1.7132
17
1.6657
5
1.8302
2
1.7439
10
    1.7183
17
1.6791
13
MP4   1.8099
63
1.5812
1
1.6758
1
1.7285
71
1.5723
1
1.5692
1
1.6728
3
1.7208
61
  1.7183
27
1.7423
49
1.7455
49
1.6885
42
  1.7520
49
1.7197
31
  1.7612
3
1.7294
17
1.6819
5
1.8376
2
1.7632
11
    1.7289
13
1.7105
13
MP4=FULL   1.8088
43
    1.7343
52
      1.7218
42
  1.7100
26
  1.7469
48
1.7219
41
  1.7456
46
1.7031
30
  1.8250
2
1.7293
14
1.6402
4
1.8353
2
1.7527
10
    1.7224
14
1.7037
13
B2PLYP 1.7582
56
1.8106
57
1.7408
57
1.8099
56
1.7328
152
1.7440
55
1.7455
60
1.7424
55
1.7446
60
1.7409
60
1.7293
38
1.7479
55
1.7502
55
1.7611
165
  1.7522
55
1.7414
60
  1.8237
2
1.7256
17
1.6749
5
1.8335
2
1.7593
11
    1.7433
23
1.7298
23
B2PLYP=FULL 1.7580
56
1.8127
63
1.7407
57
1.8098
56
1.7455
62
1.7432
55
1.7474
61
1.7420
55
1.7419
55
1.7349
54
1.7280
38
1.7475
55
1.7496
55
1.7342
56
  1.7514
55
1.7362
55
  1.8228
2
1.7236
17
1.6731
5
1.8328
2
1.7581
11
    1.7426
23
1.7278
23
B2PLYP=FULLultrafine 1.7617
54
1.8141
55
1.7440
55
1.8134
54
1.7644
164
1.7467
53
1.7461
53
1.7455
53
1.7454
53
1.7392
53
1.7280
38
1.7511
53
1.7442
103
1.7315
103
  1.7550
53
1.7307
103
  1.8228
2
1.7236
17
1.7557
11
1.8328
2
1.7581
11
1.6092
1
  1.7426
23
1.7278
23
Configuration interaction CID   1.7952
77
1.7245
77
1.7944
77
1.7381
104
1.7597
5
1.5277
1
1.7142
73
    1.7093
35
  1.7268
37
1.7036
36
        1.8182
2
1.7039
18
1.6650
5
1.8269
2
1.7468
11
    1.7195
20
1.7038
15
CISD   1.7971
76
1.7233
75
1.7981
74
1.7386
103
1.7651
6
1.5331
1
1.7119
70
    1.7073
34
  1.7255
36
1.7047
36
        1.8195
2
1.7051
18
1.6663
5
1.8283
2
1.7479
11
    1.7208
20
1.6943
17
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 aug-cc-pCVTZ Sadlej_pVTZ daug-cc-pVDZ daug-cc-pVTZ
Quadratic configuration interaction QCISD 1.8861
4
1.8381
116
1.7355
78
1.8128
75
1.7354
83
1.7306
76
1.7309
77
1.7411
88
1.7384
87
1.7249
73
1.7174
33
1.7410
55
1.7412
74
1.7175
68
  1.7496
55
1.7217
48
  1.7578
3
1.6934
21
1.6762
5
1.8352
2
1.7583
11
    1.7336
20
1.7156
15
QCISD(T)   1.6206
1
1.5647
1
1.6250
1
1.7231
66
1.5564
1
1.5531
1
1.7421
47
1.8177
2
  1.7197
28
1.7448
50
1.7332
59
1.6895
47
  1.7402
58
1.6979
41
  1.8301
2
1.7331
16
1.6810
5
1.8397
2
1.7628
11
    1.7364
16
1.7136
14
QCISD(T)=FULL         1.7434
46
  1.7374
40
      1.7154
25
  1.7557
46
1.7121
34
1.7088
17
1.7528
38
1.7174
28
1.6719
12
1.8269
2
1.7345
15
1.6744
5
1.8373
2
1.7526
10
    1.7340
16
1.7079
14
QCISD(TQ)         1.6853
5
  1.7073
4
      1.5687
1
  1.7188
4
1.6823
5
1.5683
1
1.7250
4
1.5984
2
                1.5916
1
1.5742
1
QCISD(TQ)=FULL         1.6833
5
  1.7051
4
          1.7168
4
1.5930
2
  1.7226
4
1.6174
1
                1.5893
1
 
Coupled Cluster CCD 1.8544
4
1.8027
75
1.7298
75
1.8021
75
1.7637
108
1.7225
74
1.7218
74
1.7223
75
1.7167
66
1.7165
68
1.7131
33
1.7353
55
1.7344
73
1.6942
58
  1.7271
62
1.6836
45
  1.7535
3
1.6960
20
1.6720
5
1.6783
5
1.7227
13
    1.7287
20
1.6862
13
CCSD   1.6020
1
1.5506
1
1.6072
1
1.7305
70
1.7176
33
1.7167
33
1.7193
34
1.7265
34
1.7401
56
1.7159
33
1.7392
55
1.7407
56
1.7304
61
1.6944
24
1.7479
55
1.7196
40
1.6185
12
1.8258
2
1.7155
18
1.6749
5
1.8348
2
1.7569
11
    1.7236
17
1.7020
13
CCSD=FULL         1.7327
61
        1.7328
56
1.7202
33
1.7382
55
1.7414
54
1.7150
54
1.6870
23
1.7344
47
1.7150
43
1.6159
12
1.8228
2
1.7157
17
1.6681
5
1.8323
2
1.7462
10
    1.7213
17
1.6863
14
CCSD(T)   1.6223
4
1.5620
1
1.6212
1
1.7373
59
1.7434
49
1.7385
38
1.7426
49
1.7516
46
1.7355
35
1.7162
28
1.7464
52
1.7302
61
1.6895
50
1.7081
23
1.7269
53
1.6913
40
1.6933
19
1.7624
3
1.7069
19
1.6805
5
1.6884
5
1.7313
13
    1.7400
15
1.7130
14
CCSD(T)=FULL         1.7329
52
          1.7109
27
1.7440
50
1.7513
48
1.7083
39
1.6902
22
1.7425
43
1.7105
31
1.6489
16
1.7597
3
1.7129
17
1.6401
7
1.6861
5
1.7196
12
    1.7376
15
1.6982
13
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 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 1.8259
155
1.7728
156
1.8247
156
1.7711
156
1.8160
155
1.8129
157
1.5244
1
  1.7487
168
ROHF                 1.7694
5
density functional LSDA             1.5502
1
  1.7258
4
BLYP             1.5680
1
  1.7432
38
B1B95 1.8619
112
1.8013
111
1.8837
4
1.8222
4
1.8761
4
1.8664
4
1.5446
1
  1.7094
38
B3LYP 1.8538
156
1.7935
155
1.8501
157
1.7909
148
1.8401
155
1.8306
154
1.5523
1
  1.7591
168
B3LYPultrafine             1.5523
1
  1.7250
38
B3PW91             1.5494
1
  1.7166
38
mPW1PW91             1.5464
1
  1.7130
38
M06-2X             1.5402
1
  1.7139
38
PBEPBE             1.5639
1
  1.7612
168
PBEPBEultrafine             1.5639
1
  1.7280
38
PBE1PBE             1.5473
1
  1.7122
38
HSEh1PBE             1.5476
1
  1.7128
38
TPSSh             1.5547
1
  1.7233
38
wB97X-D 1.8095
54
1.7616
53
1.8059
54
1.7580
53
1.7902
55
1.7869
54
1.5444
1
  1.7148
38
B97D3             1.5598
1
  1.7288
38
Moller Plesset perturbation MP2 1.8580
157
1.7793
155
1.8543
157
1.7742
155
1.8460
157
1.8435
157
1.5662
1
  1.7478
168
MP2=FULL             1.5613
1
  1.7117
38
ROMP2                 1.7716
2
MP3             1.5432
1
  1.7113
33
MP3=FULL             1.5385
1
  1.7033
29
MP4             1.5840
1
  1.7230
21
MP4=FULL             1.5784
1
  1.7121
26
B2PLYP             1.5596
1
  1.7220
38
B2PLYP=FULL             1.5582
1
  1.7210
38
B2PLYP=FULLultrafine             1.5582
1
  1.7210
38
Configuration interaction CID             1.5365
1
  1.7016
35
CISD             1.5383
1
  1.6994
34
Quadratic configuration interaction QCISD             1.5523
1
  1.7096
33
QCISD(T)             1.5623
1
  1.7216
29
QCISD(T)=FULL             1.5574
1
  1.7042
26
QCISD(TQ)                 1.5679
1
Coupled Cluster CCD             1.5467
1
  1.7053
33
CCSD             1.5495
1
  1.7081
33
CCSD=FULL             1.5445
1
  1.7113
34
CCSD(T)             1.5615
1
  1.7182
30
CCSD(T)=FULL             1.5564
1
  1.7179
29
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.