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Comparison of levels of theory for Cl-S


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 1.9767
9
PM3 2.0229
9
PM6 2.0307
15
composite G2 2.0153
11
G3 2.0153
11
G3B3 2.0888
18
G4 2.0529
18
CBS-Q 2.0151
11

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(T+d)Z aug-cc-pV(T+d)Z cc-pCVDZ cc-pCVTZ aug-cc-pCVTZ daug-cc-pVDZ daug-cc-pVTZ
hartree fock HF 2.1082
15
2.3641
15
2.0134
16
2.1984
15
2.0147
16
2.0161
16
2.0002
7
2.0293
16
2.0271
15
2.0109
16
2.0015
12
2.0356
16
2.0361
16
2.0150
16
1.9871
8
2.0355
16
2.0122
15
1.9865
8
2.0159
13
1.9918
6
2.0371
2
1.9647
3
1.8747
1
1.9656
2
2.0141
16
ROHF   2.2191
4
1.9908
4
2.1598
3
1.9952
4
1.9952
4
1.9982
4
2.0083
4
1.9903
3
  1.8801
1
1.9946
3
2.0145
4
1.9942
4
1.9706
3
1.9992
3
1.9771
3
1.9703
3
1.9675
3
1.9674
3
2.0368
2
1.9680
3
1.8823
1
1.9141
1
1.8919
1
density functional LSDA 2.1802
15
2.2169
13
2.0518
15
2.2362
15
2.0565
15
2.0565
15
2.0571
15
2.0702
15
2.0702
15
2.0287
15
  2.0550
5
2.0654
15
2.0364
15
1.9880
2
2.0612
15
2.0014
8
1.9856
2
1.9910
6
1.9906
6
2.1018
1
1.9643
2
1.8782
1
   
BLYP 2.2306
15
2.3446
16
2.1310
16
2.3102
16
2.0816
16
2.1282
16
2.1297
16
2.1476
16
2.1413
15
2.0861
13
1.9816
2
2.0954
7
2.1365
16
2.1078
16
  2.1206
8
2.0429
4
  2.0555
6
2.0545
6
2.1196
2
2.0243
3
1.9201
1
2.0186
2
1.9962
2
B1B95 2.1665
16
1.9470
2
2.0434
16
2.2263
16
2.0343
14
2.0462
16
2.0471
16
2.0586
16
2.0586
16
2.0254
16
  2.0242
7
2.0571
16
2.0280
16
1.9504
3
2.0512
16
2.0164
13
1.9488
3
1.9913
6
1.9909
6
2.0440
2
1.9623
3
  1.9629
2
1.9421
2
B3LYP 2.1875
15
2.2967
16
2.0792
16
2.2588
16
2.0805
16
2.0805
16
2.0815
16
2.0961
16
2.0801
11
2.0585
16
1.9986
5
2.0930
16
2.0857
16
2.0650
16
2.0173
8
2.0867
14
2.0585
15
2.0160
8
2.0614
13
2.0222
6
2.0805
2
1.9926
3
1.8940
1
1.9901
2
1.9682
2
B3LYPultrafine   2.2425
4
    2.0650
13
2.0277
4
2.0737
11
2.0392
4
  1.9674
2
1.9545
2
2.0583
7
2.0576
7
2.0703
14
  2.0550
7
2.0380
15
  2.0227
6
2.0221
6
2.0799
2
1.9925
3
1.8940
1
1.9901
2
1.9682
2
B3PW91 2.1564
11
2.2760
15
2.0561
16
2.2380
16
2.0581
16
2.0581
16
2.0588
16
2.0703
16
2.0559
11
2.0314
14
1.9393
2
2.0377
7
2.0690
16
2.0425
16
  2.0612
9
2.0230
8
  2.0036
6
2.0032
6
2.0583
2
1.9740
3
1.8815
1
1.9738
2
1.9524
2
mPW1PW91 2.1469
11
2.2671
16
2.0412
13
2.2228
15
2.0478
16
2.0478
16
2.0484
16
2.0593
16
2.0552
15
2.0252
15
1.9336
2
2.0300
7
2.0591
16
2.0334
14
  2.0468
11
2.0081
7
  1.9967
6
1.9963
6
2.0497
2
1.9673
3
1.8762
1
1.9677
2
1.9470
2
M06-2X 2.1140
7
2.2221
7
2.0358
16
2.1813
7
2.0432
16
2.0182
7
2.0189
7
2.0272
7
2.0272
7
2.0186
9
2.0247
18
2.0267
7
2.0275
7
2.0200
9
  2.0266
7
2.0196
9
  1.9957
6
1.9954
6
2.0473
2
1.9660
3
1.8741
1
1.9656
2
1.9449
2
PBEPBE 2.1817
11
2.3090
15
2.0706
11
2.2485
11
2.0751
13
2.0751
13
2.0749
13
2.0883
13
2.0985
15
2.0573
15
2.0652
10
2.0598
7
2.0919
15
2.0557
13
1.9784
3
2.0398
8
2.0552
12
1.9765
3
2.0226
6
2.0220
6
2.0808
2
1.9934
3
1.8992
1
1.9911
2
1.9698
2
PBEPBEultrafine   2.2510
4
    2.0948
14
2.0312
4
2.0305
4
2.0419
4
  1.9677
2
1.9556
2
2.0597
7
2.0591
7
2.0354
7
  2.0553
7
2.0346
7
  2.0225
6
2.0218
6
2.0802
2
1.9931
3
1.8992
1
1.9911
2
1.9698
2
PBE1PBE 2.1289
7
1.9500
2
2.0126
7
2.1902
7
2.0450
16
2.0186
7
2.0196
7
2.0284
7
2.0284
7
2.0029
7
1.9321
2
2.0276
7
2.0275
7
2.0063
7
  2.0258
7
2.0058
7
  1.9948
6
1.9944
6
2.0464
2
1.9654
3
1.8753
1
1.9659
2
1.9452
2
HSEh1PBE 2.1311
7
2.2817
15
2.0149
7
2.1941
7
2.0553
14
2.0210
7
2.0557
14
2.0309
7
2.0309
7
2.0048
7
1.9334
2
2.0299
7
2.0298
7
2.0412
14
  2.0279
7
2.0079
7
  1.9965
6
1.9961
6
2.0496
2
1.9673
3
1.8764
1
1.9675
2
1.9470
2
TPSSh 2.1353
3
2.2597
7
2.0369
7
2.2152
7
2.0692
18
2.0393
7
2.0543
16
2.0485
7
2.0283
3
2.0362
16
1.9461
2
2.0468
7
2.0790
9
2.0415
16
1.9948
3
2.0445
7
2.0226
7
1.9939
3
2.0113
6
2.0107
6
2.0693
2
1.9822
3
1.8872
1
1.9811
2
1.9590
2
wB97X-D 2.1087
3
2.2113
3
2.0329
16
2.1583
3
2.0357
16
1.9985
3
2.0361
16
2.0068
3
2.0424
16
1.9840
3
1.9356
2
2.0435
16
2.0385
16
2.0283
16
1.9809
3
2.0092
3
2.0281
16
1.9802
3
1.9668
3
1.9665
3
2.0488
2
1.9685
3
1.8770
1
1.9696
2
1.9486
2
B97D3 2.1683
3
2.1898
16
2.0433
3
2.2268
3
2.0700
16
2.0437
3
2.0699
16
2.0545
3
2.0777
16
2.0192
3
2.0436
16
2.1098
16
2.0506
3
2.0560
16
2.0137
3
2.0455
3
2.0786
16
2.0125
3
1.9977
2
1.9970
2
2.0933
2
1.9992
3
1.8983
1
1.9954
2
2.0918
18
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(T+d)Z aug-cc-pV(T+d)Z cc-pCVDZ cc-pCVTZ aug-cc-pCVTZ daug-cc-pVDZ daug-cc-pVTZ
Moller Plesset perturbation MP2 2.1526
11
2.3140
15
2.0467
16
2.2848
16
2.0357
16
2.0461
16
2.0470
16
2.0432
16
2.0602
16
2.0217
14
1.9311
2
2.0611
16
2.0682
16
2.0324
14
2.0026
7
2.0739
14
2.0207
13
2.0015
7
2.0337
14
1.9978
6
2.0644
2
1.9697
3
1.8738
1
1.9785
2
1.9453
2
MP2=FULL 2.1523
11
2.2858
14
2.0428
13
2.2594
13
2.0446
16
2.0453
16
2.0466
16
2.0593
16
2.0488
11
2.0102
11
1.9274
2
2.0318
7
2.0659
14
2.0230
13
1.9988
7
2.0669
13
2.0019
10
1.9969
7
2.0250
14
1.9875
6
2.0624
2
1.9655
3
1.8702
1
1.9777
2
1.9388
2
ROMP2 2.0838
3
1.9336
2
1.9972
3
2.2039
3
1.9951
3
1.9951
3
1.9958
3
2.0073
3
2.0073
3
1.9770
3
1.8648
1
2.0069
3
2.0162
3
1.9790
3
  2.0217
3
    1.9685
3
1.9665
3
2.0674
2
1.9672
3
1.8681
1
1.9093
1
1.8780
1
MP3         2.0311
13
  2.0388
16
      2.0024
1
2.0588
6
2.0649
6
2.0361
6
        2.0049
6
2.0041
6
2.0641
2
1.9738
3
1.8783
1
2.0512
1
2.0168
1
MP3=FULL   2.2390
3
2.0369
3
2.2076
3
2.0377
16
2.0372
3
2.0401
16
2.0514
3
2.0514
3
2.0195
3
1.9991
1
2.0582
6
2.0644
6
2.0306
6
  2.0673
3
2.0202
3
  1.9981
6
1.9951
6
2.0625
2
1.9710
3
1.8755
1
2.0510
1
2.0091
1
MP4   2.2748
11
    2.0656
14
    2.0309
1
2.0486
9
  2.0085
1
2.0720
6
2.0775
6
2.0457
9
  2.0833
6
2.0448
6
  2.0143
6
2.0135
6
2.0822
2
1.9856
3
1.8885
1
2.0596
1
2.0227
1
MP4=FULL   2.2966
6
    2.0553
6
      2.0716
6
  2.0048
1
  2.0767
6
2.0393
6
  2.0828
6
2.0354
6
  2.0064
6
2.0033
6
2.0807
2
1.9823
3
1.8854
1
2.0593
1
2.0158
1
B2PLYP 2.1485
5
2.2690
5
2.0247
5
2.2259
5
2.0615
16
2.0296
5
2.0306
5
2.0428
5
2.0428
5
2.0336
9
1.9468
2
2.0414
5
2.0427
5
2.0409
16
  2.0435
5
2.0361
9
  2.0058
4
2.0049
4
2.0734
2
1.9847
3
1.8890
1
1.9865
2
1.9605
2
B2PLYP=FULL 2.1484
5
2.2692
5
2.0247
5
2.2260
5
2.0296
5
2.0296
5
2.0304
5
2.0425
5
2.0425
5
2.0135
5
1.9457
2
2.0411
5
2.0425
5
2.0167
5
  2.0433
5
2.0151
5
  2.0034
4
2.0017
4
2.0729
2
1.9836
3
1.8879
1
1.9863
2
1.9584
2
B2PLYP=FULLultrafine 2.1116
4
2.2459
4
2.0146
4
2.2049
4
2.0793
18
2.0168
4
2.0168
4
2.0290
4
2.0290
4
1.9973
4
1.9457
2
2.0270
4
2.0941
18
2.0611
18
  2.0309
4
2.0770
22
  1.9817
3
1.9804
3
2.0725
2
1.9835
3
1.8879
1
1.9863
2
1.9584
2
Configuration interaction CID 2.2543
2
2.2628
11
2.0215
11
2.2253
11
2.0282
16
    2.0341
11
    1.9299
2
  1.9712
2
1.9431
2
        1.9911
6
1.9898
6
2.0532
2
1.9644
3
1.8737
1
1.9754
2
1.9426
2
CISD 2.2474
2
2.2826
11
2.0243
11
2.2415
11
2.0318
16
    2.0366
11
    1.9317
2
  1.9742
2
1.9451
2
        1.9921
6
1.9908
6
2.0548
2
1.9294
2
1.8765
1
1.9781
2
1.9443
2
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(T+d)Z aug-cc-pV(T+d)Z cc-pCVDZ cc-pCVTZ aug-cc-pCVTZ daug-cc-pVDZ daug-cc-pVTZ
Quadratic configuration interaction QCISD   2.3387
12
2.0503
13
2.2881
10
2.0420
16
2.0493
13
2.0555
14
2.0672
14
2.0652
16
2.0248
11
1.9466
2
2.0438
7
2.0716
12
2.0337
13
  2.0545
7
2.0285
9
  2.0083
6
2.0071
6
2.0715
2
1.9810
3
1.8921
1
1.9971
2
1.9604
2
QCISD(T)         2.0656
14
    2.0647
6
    1.9522
2
2.0528
7
2.0770
11
2.0410
11
  2.0644
9
2.0253
9
  2.0159
6
2.0154
6
2.0820
2
1.9887
3
1.8983
1
2.0035
2
1.9664
2
QCISD(T)=FULL         2.0197
4
  2.0208
4
      1.9491
2
  2.0415
4
1.9754
3
1.9872
3
2.0467
4
1.9986
4
1.9852
3
1.9822
3
1.9791
3
2.0798
2
1.9853
3
1.8950
1
2.0028
2
1.9593
2
Coupled Cluster CCD 2.2814
2
2.2879
13
2.0403
13
2.2549
13
2.0402
16
2.0412
13
2.0429
13
2.0536
13
2.0478
11
2.0220
11
1.9382
2
2.0372
7
2.0579
11
2.0248
11
  2.0465
9
2.0104
9
  2.0034
6
2.0023
6
2.0646
2
1.9735
3
1.8783
1
1.9859
2
1.9518
2
CCSD         2.0441
16
1.9683
2
1.9688
2
1.9921
3
1.9750
2
2.0212
8
1.9434
2
2.0412
7
2.0472
7
2.0277
9
1.9934
6
2.0519
7
2.0228
8
1.9932
6
2.0061
6
2.0050
6
2.0683
2
1.9778
3
1.8866
1
1.9923
2
1.9570
2
CCSD=FULL         2.0352
9
        2.0155
8
1.9397
2
2.0401
7
2.0463
7
2.0228
9
1.9900
6
2.0513
7
2.0195
9
1.9779
5
1.9986
6
1.9953
6
2.0656
2
1.9735
3
1.8825
1
1.9918
2
1.9498
2
CCSD(T)         2.0652
14
2.0392
5
2.0174
3
2.0703
6
2.0310
3
2.0015
3
1.9640
3
2.0510
7
2.0752
11
2.0456
13
1.9854
7
2.0625
9
2.0238
9
1.9885
5
2.0146
6
2.0138
6
2.0797
2
1.9864
3
1.8946
1
2.0008
2
1.9644
2
CCSD(T)=FULL         2.0508
8
          1.9470
2
2.0500
7
2.0501
6
2.0189
7
1.9821
7
2.0611
7
2.0090
6
1.9844
5
2.0069
6
2.0038
6
2.0776
2
1.9830
3
1.8913
1
2.0000
2
1.9573
2
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(T+d)Z aug-cc-pV(T+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 2.1853
15
2.0301
16
2.1889
15
2.0304
16
2.2821
13
2.2653
13
    2.0099
16
ROHF                 1.8800
1
density functional BLYP                 1.9838
2
B1B95 2.2611
10
2.0869
10
            1.9313
2
B3LYP 2.2588
16
2.0920
16
2.2587
16
2.0906
16
2.2827
15
2.2882
16
    2.0383
16
B3LYPultrafine                 1.9570
2
B3PW91                 1.9412
2
mPW1PW91                 1.9355
2
M06-2X                 1.9356
2
PBEPBE                 2.0395
16
PBEPBEultrafine                 1.9576
2
PBE1PBE                 1.9340
2
HSEh1PBE                 1.9354
2
TPSSh                 1.9476
2
wB97X-D 2.1605
3
2.0625
2
2.1620
3
2.0620
2
2.1925
3
2.1958
3
    1.9377
2
B97D3                 1.9605
2
Moller Plesset perturbation MP2 2.2733
16
2.0591
16
2.2722
16
2.0598
16
2.2873
16
2.2925
16
    2.0194
16
MP2=FULL                 1.9306
2
ROMP2                 1.8650
1
MP3                 2.0066
1
MP3=FULL                 2.0046
1
MP4=FULL                 2.0107
1
B2PLYP                 1.9486
2
B2PLYP=FULL                 1.9475
2
B2PLYP=FULLultrafine                 1.9475
2
Configuration interaction CID                 1.9323
2
CISD                 1.9341
2
Quadratic configuration interaction QCISD                 1.9488
2
QCISD(T)                 1.9546
2
QCISD(T)=FULL                 1.9519
2
Coupled Cluster CCD                 1.9408
2
CCSD                 1.9456
2
CCSD=FULL                 1.9425
2
CCSD(T)                 1.9525
2
CCSD(T)=FULL                 1.9499
2
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.