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III.G.1.a.

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 1.8966
3
PM3 2.0282
13
PM6 2.0218
13
composite G2 2.0167
11
G3 2.0140
13
G3B3 2.0780
13
CBS-Q 2.0090
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
hartree fock HF 2.1027
13
2.3387
13
2.0128
13
2.1984
12
2.0028
12
2.0141
13
2.0157
13
2.0266
13
2.0266
13
2.0066
13
2.0153
10
2.0330
13
2.0344
13
2.0111
13
1.9862
7
2.0333
13
2.0104
13
1.9593
4
2.0141
12
ROHF   2.2398
1
2.0507
1
  2.0471
1
2.0471
1
2.0499
1
2.0620
1
        2.0696
1
2.0458
1
         
density functional LSDA 2.1677
13
2.2169
13
2.0475
13
2.2310
13
2.0526
13
2.0526
13
2.0536
13
2.0663
13
2.0663
13
2.0238
13
    2.0614
13
2.0319
13
1.9880
2
2.0578
13
1.9575
3
1.9856
2
 
SVWN   2.2598
13
    2.0713
11
  2.0562
13
                       
BLYP 2.2223
13
2.3440
12
2.1277
13
2.3137
12
2.1256
13
2.1256
13
2.1282
13
2.1453
13
2.1455
13
2.0854
11
    2.1343
13
2.1051
13
  2.1612
6
     
B1B95 2.1596
13
2.2137
13
2.0428
13
2.2250
13
2.0287
9
2.0451
13
2.0461
13
2.0575
13
2.0575
13
2.0228
13
    2.0563
13
2.0252
13
1.9504
3
2.0497
13
1.9556
3
1.9488
3
 
B3LYP 2.1805
13
2.2893
13
2.0767
13
2.2554
13
2.0781
13
2.0781
13
2.0796
13
2.0936
13
2.0750
7
2.0545
13
2.0488
4
2.0912
13
2.0822
13
2.0618
13
1.9839
4
2.0843
11
2.0602
11
1.9824
4
2.0612
12
B3LYPultrafine         2.0654
11
  2.1003
7
                       
B3PW91 2.1421
7
2.2673
12
2.0536
13
2.2348
13
2.0555
13
2.0555
13
2.0565
13
2.0678
13
2.0512
7
2.0251
11
    2.0667
13
2.0392
13
  2.0836
6
     
mPW1PW91 2.1338
7
2.2601
13
2.0422
9
2.2233
13
2.0452
13
2.0452
13
2.0461
13
2.0568
13
2.0569
13
2.0241
13
    2.0568
13
2.0293
11
  2.0726
6
     
M06-2X         2.0406
13
                           
PBEPBE 2.1625
7
2.2987
13
2.0651
7
2.2395
7
2.0764
11
2.0764
11
2.0774
11
2.0905
11
2.1019
13
2.0573
13
2.0709
6
  2.0859
13
2.0558
11
1.9784
3
1.9290
1
2.0721
9
1.9765
3
 
PBEPBEultrafine         2.0937
4
                           
HSEh1PBE         2.0544
11
                           
Moller Plesset perturbation MP2FC 2.1529
7
2.3179
12
2.0442
13
2.2915
13
2.0433
13
2.0435
13
2.0446
13
2.0572
13
2.0571
13
2.0182
11
  2.0584
13
2.0657
13
2.0285
11
1.9813
3
2.0714
11
1.9653
4
1.9798
3
2.0296
12
MP2FU 2.1526
7
2.2823
11
2.0436
9
2.2712
9
2.0427
13
2.0427
13
2.0441
13
2.0562
13
2.0439
7
2.0058
7
    2.0624
11
2.0216
9
1.9776
3
2.0789
9
1.8763
1
2.0887
1
2.0214
12
MP3         2.0277
9
                           
MP4   2.2651
7
    2.0639
11
    2.0309
1
2.0266
5
        2.0366
6
         
B2PLYP         2.0667
13
  2.0684
13
                       
Configuration interaction CID 2.2543
2
2.2670
7
2.0190
7
2.2305
7
2.0261
13
    2.0273
8
                     
CISD 2.2474
2
2.2861
7
2.0224
7
2.2472
7
2.0303
13
    2.0320
7
                     
Quadratic configuration interaction QCISD   2.3306
9
2.0517
9
2.2805
6
2.0433
13
2.0500
9
2.0539
11
2.0651
11
2.0629
13
2.0227
7
    2.0679
9
2.0319
8
         
QCISD(T)         2.0645
11
    2.0952
3
        2.0756
5
2.0349
5
  2.0269
3
1.9861
3
   
Coupled Cluster CCD 2.2814
2
2.2935
9
2.0407
9
2.2615
9
2.0406
13
2.0402
9
2.0415
9
2.0490
10
2.0422
7
2.0154
7
    2.0576
9
2.0133
5
  2.0011
3
1.9647
3
   
CCSD         2.0358
11
    2.0264
1
                     
CCSD(T)         2.0792
10
2.0719
2
  2.1097
3
    1.9917
1
  2.0672
6
2.0413
8
1.8900
1
2.0291
4
1.9891
4
   
CCSD(T)=FULL         2.0404
2
                  1.8871
1
       

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 2.1848
12
2.0271
13
2.1882
12
2.0277
13
2.2932
11
2.2707
11
density functional B1B95 2.2611
10
2.0869
10
       
B3LYP 2.2569
13
2.0894
13
2.2565
13
2.0884
13
2.2776
12
2.2835
13
Moller Plesset perturbation MP2FC 2.2802
13
2.0564
13
2.2779
13
2.0572
13
2.2921
13
2.2958
13
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.