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III.G.1.a.

Comparison of levels of theory for Cl-O


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 1.6400
6
PM3 1.5636
17
PM6 1.5833
40
composite G2 1.5757
31
G3 1.5531
32
G3B3 1.6185
32
CBS-Q 1.5486
31
molecular mechanics DREIDING 1.6465
1

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-pCVDZ cc-pCVTZ
hartree fock HF 1.9152
28
1.9011
30
1.5695
31
2.0197
25
1.5498
40
1.5502
32
1.5569
34
1.6085
32
1.5430
31
1.5242
32
1.5247
11
1.5553
40
1.6253
32
1.5346
34
1.5462
14
1.5534
30
1.5138
30
1.5349
9
1.6688
1
1.4768
18
1.6543
2
1.5853
1
ROHF 1.7232
3
1.7099
8
1.5719
8
1.7165
4
1.5440
9
1.5498
8
1.5492
8
1.5483
8
1.5371
4
1.4762
3
    1.5636
8
1.5293
8
1.5149
4
1.5530
4
1.5219
4
1.5148
4
       
density functional LSDA 1.8285
29
1.7099
32
1.6197
32
1.7788
29
1.6020
32
1.6018
32
1.6047
32
1.6081
32
1.6072
32
1.5723
32
  1.6993
7
1.6158
32
1.5799
32
1.5321
4
1.6134
31
1.5753
11
1.5320
4
1.6959
1
  1.7084
1
1.6777
1
SVWN   1.7286
35
    1.5916
33
1.6840
7
1.5894
35
1.6970
7
1.6927
7
1.6509
7
    1.6977
7
1.6616
7
  1.7076
6
1.5495
3
         
BLYP 1.8874
29
1.8169
32
1.6819
29
1.8403
32
1.6575
32
1.6573
32
1.6631
32
1.6705
29
1.6669
32
1.6263
32
  1.7757
7
1.6729
32
1.6372
29
  1.6779
11
    1.7596
1
  1.7710
1
1.7396
1
B1B95 1.8223
22
1.6995
25
1.6393
25
1.8080
22
1.6024
24
1.6309
25
1.6427
22
1.6374
25
1.6365
25
1.5786
24
  1.6796
7
1.6534
22
1.6094
25
1.4961
5
1.6386
24
1.5475
10
1.4960
5
1.6980
1
1.5631
1
1.7083
1
1.6775
1
B3LYP 1.8531
29
1.7843
31
1.6363
29
1.8081
29
1.6345
34
1.6233
32
1.6373
34
1.6304
32
1.6102
21
1.5933
32
1.6205
11
1.6313
40
1.6375
32
1.6107
34
1.5854
9
1.6515
28
1.6073
27
1.5849
9
1.7228
1
1.5525
18
1.6809
2
1.6419
2
B3LYPultrafine         1.6235
32
  1.7562
7
                             
B3PW91 1.8594
22
1.7602
32
1.6228
29
1.7931
29
1.6140
29
1.6138
29
1.6109
32
1.6149
32
1.5954
21
1.5780
32
  1.6952
7
1.6227
32
1.5893
29
  1.6412
11
    1.7070
1
  1.7180
1
1.6868
1
mPW1PW91 1.8541
21
1.7558
32
1.6064
22
1.7888
29
1.6096
29
1.6092
29
1.6114
29
1.6082
32
1.6076
32
1.5817
29
  1.6833
7
1.6168
32
1.5825
32
  1.6662
18
1.5727
4
  1.6995
1
  1.7103
1
1.6796
1
M06-2X 1.7623
1
1.8824
4
1.7759
4
1.9047
4
1.5869
35
1.6570
7
1.7507
4
1.6632
7
1.6594
7
1.6325
7
  1.6647
7
1.7549
4
1.7268
4
  1.6705
6
1.5222
3
  1.6925
1
1.6735
1
1.7016
1
1.6737
1
PBEPBE 1.8859
19
1.8078
26
1.6566
19
1.8244
19
1.6362
29
1.6360
29
1.6368
32
1.6411
32
1.6403
32
1.6045
32
1.6094
11
1.7401
7
1.6473
32
1.6108
32
1.5474
5
1.7229
9
1.6540
13
1.5471
5
1.7317
1
1.6480
2
1.7431
1
1.7119
1
PBEPBEultrafine         1.6469
11
  1.7369
1
                             
HSEh1PBE 1.9877
4
1.8422
7
1.7903
4
1.9481
4
1.5933
31
1.7627
4
1.7698
4
1.6817
7
1.6780
7
1.6443
7
  1.6841
7
1.7740
4
1.6515
7
  1.6904
6
1.5351
3
  1.7002
1
1.6795
1
1.7109
1
1.6801
1
Moller Plesset perturbation MP2FC 1.8983
19
1.7519
33
1.6182
31
1.7739
29
1.6004
34
1.5911
32
1.6046
34
1.5927
29
1.5888
32
1.5631
26
  1.5941
40
1.6056
32
1.5750
34
1.5559
1
1.6256
28
1.5896
14
1.5540
1
1.7180
1
1.5099
18
1.6725
2
1.6240
2
MP2FU 1.9044
18
1.7605
28
1.6106
20
1.7911
18
1.5983
34
1.5890
32
1.6053
31
1.5888
32
1.5848
21
1.5517
21
  1.6969
7
1.6207
29
1.5716
24
1.5523
1
1.7029
13
1.5698
9
  1.7169
1
1.5068
18
1.6713
2
1.6211
2
ROMP2 1.7828
3
1.8281
1
1.5224
2
1.7377
3
1.5412
3
1.5412
3
1.5426
3
1.5471
3
1.5471
3
1.5133
3
    1.5750
3
1.5173
3
1.4405
2
1.5737
3
1.5185
3
1.5059
3
       
MP3         1.5817
32
                            1.6857
1
   
MP4   1.7236
14
    1.6421
28
    1.6992
3
1.6120
20
        1.6577
18
        1.7344
1
1.7037
1
1.7436
1
1.7035
1
B2PLYP 1.7921
1
1.8970
7
1.7256
7
1.9465
7
1.5929
35
1.7902
4
1.5974
32
1.7113
7
1.7075
7
1.6649
7
  1.7161
7
1.7163
7
1.6734
7
  1.7292
6
    1.7204
1
1.6973
1
1.7307
1
1.6976
1
Configuration interaction CID   1.7515
21
1.5863
21
1.7808
18
1.5690
32
    1.5719
24
                           
CISD   1.7684
21
1.5923
21
1.7961
20
1.5772
29
1.7054
1
  1.5614
21
                           
Quadratic configuration interaction QCISD   1.7790
19
1.6254
20
1.8153
12
1.6237
29
1.5987
21
1.6165
28
1.6109
28
1.5883
30
1.5649
21
  1.6883
7
1.6660
21
1.6231
18
  1.7103
7
1.6979
1
  1.7242
1
1.6365
2
1.7333
1
1.6892
1
QCISD(T)         1.6144
32
  1.5287
4
1.6871
2
1.5141
4
    1.7139
7
1.6869
14
1.6221
13
  1.6786
12
1.5232
5
  1.7374
1
1.6894
1
1.7467
1
1.7021
1
Coupled Cluster CCD   1.7590
21
1.6001
21
1.7853
21
1.5839
32
1.5782
21
1.5812
21
1.5883
24
1.5730
21
1.5464
21
  1.6683
7
1.6470
22
1.5919
14
  1.6311
13
1.5185
9
  1.7176
1
1.6306
2
1.7264
1
1.6843
1
CCSD         1.6014
32
    1.6748
2
        1.6975
8
1.6494
8
               
CCSD(T)   1.8453
2
    1.5967
34
1.7170
5
1.6257
8
1.7023
3
1.5696
6
  1.5777
1
1.7077
7
1.7020
12
1.6444
19
1.5984
2
1.6764
14
1.5581
7
1.4959
1
1.7371
1
1.6431
2
1.6956
2
1.6430
2
CCSD(T)=FULL         1.6852
11
            1.7058
7
1.7143
9
1.6928
4
1.4925
1
1.7291
7
1.7073
1
1.4923
1
1.7357
1
1.6389
2
1.6940
2
1.6397
2

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 1.9044
27
1.5632
31
2.1037
28
1.5611
31
1.9511
27
2.0758
28
density functional B1B95 1.8329
11
1.6559
11
1.8179
1
1.7123
1
1.8199
1
1.8186
1
B3LYP 1.8300
29
1.6472
28
1.8230
29
1.6400
31
1.7706
24
1.7910
26
Moller Plesset perturbation MP2FC 1.7671
23
1.6106
31
1.7439
26
1.6073
31
1.7663
22
1.7430
26
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.