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Comparison of levels of theory for Cl-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 1.7264
130
PM3 1.7185
142
PM6 1.7366
225
composite G2 1.7534
135
G3 1.7551
141
G3B3 1.7765
227
G3MP2 1.7586
7
G4 1.7651
219
CBS-Q 1.7568
139

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 1.8046
230
1.8424
229
1.7714
230
1.8299
222
1.7538
261
1.7538
222
1.7490
153
1.7642
225
1.7612
223
1.7528
222
1.7457
131
1.7653
236
1.7682
222
1.7513
213
1.7410
59
1.7608
204
1.7528
204
1.7425
53
1.7831
1
1.7325
65
1.7771
4
1.7897
1
1.7628
10
1.7829
1
1.7720
13
1.7481
27
1.7611
201
ROHF   1.8947
35
1.8187
32
1.8304
29
1.7601
35
1.7600
35
1.7574
35
1.8134
35
1.8266
31
  1.7565
6
1.8938
14
1.7679
35
1.7583
35
1.7732
14
1.7738
20
1.7632
20
1.7718
14
              1.7680
6
1.7589
6
density functional LSDA 1.8246
90
1.8271
54
1.7667
91
1.8273
90
1.7497
107
1.7512
105
1.7471
108
1.7481
110
1.7481
109
1.7398
108
1.7286
12
1.7472
44
1.7510
108
1.7386
108
1.7223
7
1.7514
102
1.7365
69
1.7188
7
1.7627
1
1.7511
14
1.7631
4
1.7710
1
1.7548
6
1.7621
1
1.7658
5
1.7782
1
1.7670
1
BLYP 1.8679
229
1.8940
230
1.8137
212
1.8742
221
1.7902
238
1.8019
222
1.7996
222
1.7994
207
1.8021
223
1.7939
222
1.7790
55
1.7979
113
1.8030
222
1.7936
222
  1.8033
159
1.7865
89
  1.8165
1
1.8038
14
1.8195
4
1.8248
1
1.8040
6
1.8188
1
1.8128
5
1.7819
27
1.7734
27
B1B95 1.8249
230
1.7661
69
1.7679
230
1.8239
222
1.7562
215
1.7554
222
1.7536
222
1.7549
225
1.7548
222
1.7495
222
1.7380
54
1.7531
113
1.7575
222
1.7483
222
1.7303
7
1.7554
203
1.7511
158
1.7280
7
1.7720
1
1.7587
14
1.7725
4
1.7798
1
1.7607
6
1.7739
1
1.7689
5
1.7405
27
1.7332
27
B3LYP 1.8429
230
1.8656
230
1.7893
230
1.8475
222
1.7761
217
1.7768
222
1.7751
226
1.7771
225
1.7730
158
1.7711
227
1.7630
123
1.7737
236
1.7793
222
1.7692
217
1.7602
52
1.7719
164
1.7661
227
1.7558
52
1.7959
1
1.7459
59
1.7956
4
1.8037
1
1.7815
6
1.7968
1
1.7935
13
1.7609
27
1.7528
27
B3LYPultrafine   1.8625
107
    1.7766
219
1.7719
99
1.7661
120
1.7724
102
1.7821
1
1.7716
58
1.7573
55
1.7770
102
1.7745
110
1.7646
152
  1.7739
110
1.7656
223
  1.7958
1
1.7765
11
1.7964
1
1.8037
1
1.7815
6
1.7967
1
1.7901
5
1.7609
27
1.7528
27
B3PW91 1.8345
164
1.8496
227
1.7756
227
1.8319
219
1.7629
219
1.7629
219
1.7585
200
1.7623
222
1.7584
155
1.7569
218
1.7449
55
1.7617
113
1.7653
219
1.7563
219
  1.7660
157
1.7515
109
  1.7812
1
1.7672
14
1.7810
4
1.7877
1
1.7695
6
1.7802
1
1.7783
5
1.7490
27
1.7414
27
mPW1PW91 1.8283
168
1.8431
230
1.7657
173
1.8256
222
1.7576
221
1.7577
222
1.7558
221
1.7571
225
1.7570
223
1.7522
222
1.7404
55
1.7568
113
1.7602
222
1.7466
182
  1.7624
186
1.7504
115
  1.7757
1
1.7623
14
1.7762
4
1.7832
1
1.7647
6
1.7766
1
1.7731
5
1.7444
27
1.7371
27
M06-2X 1.8187
136
1.8332
135
1.7774
247
1.8170
128
1.7467
217
1.7560
128
1.7546
128
1.7560
131
1.7557
129
1.7512
145
1.7453
229
1.7576
113
1.7585
127
1.7497
144
  1.7572
113
1.7487
126
  1.7793
1
1.7632
14
1.7771
4
1.7849
1
1.7637
6
1.7781
1
1.7722
5
1.7450
27
1.7374
27
PBEPBE 1.8508
167
1.8662
230
1.7902
161
1.8448
153
1.7772
222
1.7773
222
1.7751
222
1.7766
225
1.7766
223
1.7695
219
1.7927
130
1.7744
113
1.7791
219
1.7689
220
1.7561
7
1.7756
119
1.7627
143
1.7532
7
1.7900
1
1.7701
15
1.7941
4
1.7980
1
1.7823
6
1.7921
1
1.7940
13
1.7608
27
1.7524
26
PBEPBEultrafine   1.8621
107
    1.7738
186
1.7722
99
1.7701
99
1.7718
102
1.7823
1
1.7714
58
1.7569
55
1.7764
102
1.7735
110
1.7646
110
  1.7726
110
1.7650
109
  1.7899
1
1.7761
11
1.7916
1
1.7979
1
1.7823
6
1.7920
1
1.7910
5
1.7608
27
1.7533
27
PBE1PBE 1.8221
121
1.7680
69
1.7623
121
1.8164
113
1.7517
214
1.7508
113
1.7493
113
1.7506
116
1.7502
114
1.7457
113
1.7389
55
1.7550
113
1.7531
113
1.7450
113
  1.7537
110
1.7464
109
  1.7733
1
1.7672
12
1.7743
4
1.7812
1
1.7633
6
1.7749
1
1.7713
5
1.7427
27
1.7357
27
HSEh1PBE 1.8268
136
1.8289
225
1.7652
136
1.8201
128
1.7498
213
1.7543
128
1.7475
217
1.7542
131
1.7539
129
1.7495
128
1.7399
55
1.7561
113
1.7568
128
1.7432
217
  1.7553
113
1.7474
109
  1.7747
1
1.7617
14
1.7756
4
1.7824
1
1.7641
6
1.7760
1
1.7723
5
1.7437
27
1.7366
27
TPSSh 1.8410
91
1.8601
110
1.7830
110
1.8383
102
1.7650
236
1.7681
102
1.7631
234
1.7676
105
1.7639
84
1.7574
220
1.7529
55
1.7726
102
1.7714
104
1.7587
234
1.7482
31
1.7697
102
1.7621
101
1.7479
31
1.7916
1
1.7826
12
1.7912
4
1.7992
1
1.7770
6
1.7924
1
1.7856
5
1.7566
27
1.7491
27
wB97X-D 1.8297
100
1.8362
100
1.7695
245
1.8170
92
1.7607
235
1.7582
92
1.7598
237
1.7587
95
1.7606
238
1.7539
92
1.7458
55
1.7641
237
1.7617
237
1.7558
235
1.7403
31
1.7613
92
1.7560
236
1.7377
29
1.7828
1
1.7721
9
1.7819
1
1.7905
1
1.7704
6
1.7821
1
1.7796
5
1.7499
27
1.7423
27
B97D3 1.8632
76
1.8413
220
1.7957
76
1.8518
67
1.7743
213
1.7807
68
1.7731
213
1.7800
71
1.7734
214
1.7754
68
1.7700
232
1.7997
215
1.7819
68
1.7679
213
1.7565
31
1.7810
68
1.7726
213
1.7516
28
1.7974
1
1.7885
9
1.7985
1
1.8056
1
1.7872
6
1.7989
1
1.7967
5
1.7645
27
1.7699
222
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 1.8419
167
1.8733
229
1.7791
229
1.8525
221
1.7479
238
1.7504
219
1.7497
219
1.7479
233
1.7505
221
1.7447
191
1.7382
55
1.7549
234
1.7616
222
1.7475
211
1.7347
42
1.7599
161
1.7474
153
1.7281
40
1.7767
1
1.7293
57
1.7750
4
1.7837
1
1.7619
12
1.7761
1
1.7849
13
1.7512
27
1.7354
27
MP2=FULL 1.8404
162
1.8698
189
1.7757
166
1.8478
160
1.7498
222
1.7468
202
1.7451
204
1.7503
223
1.7463
156
1.7379
162
1.7325
55
1.7545
113
1.7559
182
1.7392
182
1.7301
42
1.7603
129
1.7397
140
1.7249
39
1.7743
1
1.7252
60
1.7650
4
1.7818
1
1.7574
12
1.7562
3
1.7835
13
1.7493
27
1.7285
27
ROMP2 1.8569
13
1.7591
4
1.8046
13
1.8822
13
1.7483
16
1.7478
16
1.7414
16
1.7532
16
1.7619
13
1.7512
13
1.7326
5
1.7471
11
1.7637
16
1.7405
16
  1.7747
13
      1.7759
3
1.7745
3
        1.7406
4
1.7213
4
MP3         1.7565
213
  1.7490
234
1.7727
3
1.7610
1
  1.7370
43
1.7594
89
1.7616
89
1.7498
89
        1.7826
1
1.7726
10
1.7793
4
1.7883
1
1.7631
4
1.7817
1
1.7837
5
1.7290
14
1.7126
14
MP3=FULL   1.8551
58
1.7616
58
1.8324
58
1.7486
215
1.7378
58
1.7448
203
1.7413
61
1.7390
59
1.7346
58
1.7300
35
1.7519
66
1.7539
66
1.7386
65
  1.7564
60
1.7292
50
  1.7807
1
1.7670
6
1.7699
4
1.7865
1
1.7603
4
1.7768
1
1.7826
5
1.7113
11
1.6912
11
MP4 1.8517
6
1.8812
129
    1.7547
144
    1.7622
5
1.7566
111
  1.7332
30
1.7609
74
1.7618
72
1.7519
95
  1.7686
74
1.7409
54
  1.7867
1
1.7594
5
1.7872
1
1.7934
1
1.7688
4
1.7868
1
1.7894
5
1.7210
11
1.6987
10
MP4=FULL   1.8754
84
    1.7537
84
    1.7811
3
1.7536
85
  1.7246
26
  1.7630
79
1.7453
74
  1.7684
74
1.7278
40
  1.7843
1
1.7695
7
1.7781
1
1.7914
1
1.7658
4
1.7834
1
1.7883
5
1.7192
11
1.7020
9
B2PLYP 1.8364
111
1.8616
110
1.7800
111
1.8410
102
1.7577
186
1.7624
103
1.7602
104
1.7642
104
1.7630
104
1.7594
118
1.7499
55
1.7689
102
1.7683
103
1.7571
212
  1.7698
102
1.7634
146
  1.7874
1
1.7788
12
1.7876
4
1.7954
1
1.7723
6
1.7883
1
1.7845
5
1.7566
27
1.7462
27
B2PLYP=FULL 1.8363
110
1.8672
111
1.7797
110
1.8408
101
1.7611
103
1.7616
102
1.7595
103
1.7631
105
1.7623
103
1.7575
100
1.7482
55
1.7685
102
1.7681
100
1.7575
100
  1.7692
102
1.7567
101
  1.7868
1
1.7769
12
1.7844
4
1.7948
1
1.7713
6
1.7805
5
1.7842
5
1.7560
27
1.7440
27
B2PLYP=FULLultrafine 1.8366
100
1.8617
100
1.7774
100
1.8398
92
1.7860
272
1.7606
90
1.7590
92
1.7617
95
1.7609
93
1.7559
92
1.7482
55
1.7670
92
1.7898
245
1.7782
246
  1.7677
92
1.7767
246
  1.7867
1
1.7743
9
1.7727
5
1.7947
1
1.7713
6
1.7624
5
1.7842
5
1.7560
27
1.7440
27
Configuration interaction CID   1.8554
155
1.7734
153
1.8345
144
1.7461
203
    1.7452
155
1.7544
1
  1.7284
45
  1.7547
48
1.7417
48
        1.7792
1
1.7548
14
1.7689
4
1.7848
1
1.7547
6
1.7744
1
1.7708
5
1.7258
17
1.7115
17
CISD 1.8400
6
1.8585
152
1.7748
153
1.8371
144
1.7470
200
    1.7469
149
1.7553
1
  1.7291
45
  1.7555
48
1.7423
48
        1.7809
1
1.7553
14
1.7693
4
1.7866
1
1.7554
6
1.7755
1
1.7714
5
1.7268
17
1.7073
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
Quadratic configuration interaction QCISD 1.8512
6
1.8778
220
1.7809
160
1.8640
154
1.7536
184
1.7538
154
1.7525
157
1.7550
178
1.7533
183
1.7487
152
1.7406
44
1.7620
106
1.7675
150
1.7513
153
  1.7720
110
1.7502
105
  1.7857
1
1.7568
13
1.7806
4
1.7916
1
1.7637
4
1.7827
1
1.7842
5
1.7421
18
1.7258
18
QCISD(T)         1.7562
131
    1.7541
77
1.7684
1
  1.7411
38
1.7654
98
1.7704
114
1.7543
114
  1.7688
87
1.7380
57
  1.7888
1
1.7716
12
1.7859
4
1.7953
1
1.7683
4
1.7875
1
1.7891
5
1.7433
17
1.7248
16
QCISD(T)=FULL         1.7518
76
  1.7467
68
1.7794
3
1.7667
1
  1.7305
35
  1.7630
75
1.7404
57
1.7094
11
1.7614
61
1.7251
35
1.7176
10
  1.7674
8
    1.7640
5
  1.7880
5
1.7258
13
1.7063
13
QCISD(TQ)         1.7927
2
  1.7748
2
          1.8197
2
1.7561
1
  1.8131
2
1.8184
1
                   
QCISD(TQ)=FULL         1.7893
2
  1.7718
2
          1.8164
2
    1.8103
2
                     
Coupled Cluster CCD 1.8497
6
1.8698
161
1.7833
162
1.8483
153
1.7525
212
1.7503
154
1.7500
152
1.7514
162
1.7496
136
1.7489
129
1.7375
46
1.7572
100
1.7631
145
1.7509
122
1.6759
2
1.7667
115
1.7480
98
1.6757
2
1.7824
1
1.7644
12
1.7780
4
1.7881
1
1.7615
4
1.7789
1
1.7821
5
1.7382
18
1.7228
18
CCSD         1.7484
167
1.7532
46
1.7529
46
1.7537
50
1.7536
47
1.7477
105
1.7354
40
1.7624
99
1.7656
123
1.7510
138
1.7233
27
1.7668
95
1.7426
89
1.7131
13
1.7851
1
1.7657
12
1.7798
4
1.7910
1
1.7629
4
1.7820
1
1.7835
5
1.7378
17
1.7220
17
CCSD=FULL         1.7494
120
    1.7737
3
1.7617
1
1.7408
105
1.7317
42
1.7604
100
1.7606
94
1.7432
111
1.7170
23
1.7645
92
1.7345
89
1.6746
11
1.7830
1
1.7662
12
1.7700
4
1.7889
1
1.7615
6
1.7524
2
1.7823
5
1.7250
14
1.6975
12
CCSD(T)   1.8327
2
    1.7562
165
1.7507
77
1.7529
53
1.7544
79
1.7544
56
1.7553
54
1.7389
40
1.7635
92
1.7717
122
1.7512
120
1.7415
26
1.7741
100
1.7414
60
1.7146
17
1.7885
1
1.7656
11
1.7854
4
1.7950
1
1.7679
4
1.7871
1
1.7887
5
1.7319
13
1.7172
13
CCSD(T)=FULL         1.7573
123
    1.7787
3
1.7661
1
  1.7294
36
1.7631
88
1.7697
114
1.7505
99
1.7294
22
1.7739
90
1.7305
46
1.7122
16
1.7862
1
1.7711
12
1.7783
1
1.7930
1
1.7481
7
1.7838
1
1.7876
5
1.7301
13
1.7049
11
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 1.8328
227
1.7640
203
1.8348
230
1.7637
205
1.8266
230
1.8343
230
1.7630
12
  1.7501
240
ROHF             1.7596
2
  1.7527
6
density functional LSDA             1.7498
12
  1.7439
4
BLYP             1.7984
12
  1.7869
66
B1B95 1.8389
91
1.7764
88
        1.7584
12
  1.7454
66
B3LYP 1.8576
227
1.7909
205
1.8550
230
1.7897
205
1.8443
230
1.8473
230
1.7786
12
  1.7622
240
B3LYPultrafine             1.7786
12
  1.7659
66
B3PW91             1.7663
12
  1.7538
66
mPW1PW91             1.7618
12
  1.7494
66
M06-2X             1.7640
12
  1.7503
66
PBEPBE             1.7774
12
  1.7619
240
PBEPBEultrafine             1.7774
12
  1.7655
66
PBE1PBE             1.7602
12
  1.7478
66
HSEh1PBE             1.7612
12
  1.7487
66
TPSSh             1.7740
12
  1.7615
66
wB97X-D 1.8295
97
1.7683
80
1.8274
100
1.7670
80
1.8175
100
1.8212
100
1.7703
12
  1.7550
66
B97D3             1.7795
12
  1.7689
66
Moller Plesset perturbation MP2 1.8653
227
1.7682
205
1.8628
230
1.7668
205
1.8520
229
1.8676
230
1.7642
12
  1.7472
240
MP2=FULL             1.7588
12
  1.7452
66
ROMP2                 1.7149
4
MP3             1.7674
12
  1.7475
46
MP3=FULL             1.7627
11
  1.7294
25
MP4             1.7773
10
  1.7264
21
MP4=FULL             1.7711
10
  1.7351
27
B2PLYP             1.7731
12
  1.7590
66
B2PLYP=FULL             1.7715
12
  1.7580
66
B2PLYP=FULLultrafine             1.7715
12
  1.7580
66
Configuration interaction CID             1.7576
12
  1.7393
55
CISD             1.7581
12
  1.7401
56
Quadratic configuration interaction QCISD             1.7697
12
  1.7524
57
QCISD(T)             1.7742
12
  1.7522
48
QCISD(T)=FULL             1.7687
11
  1.7440
39
Coupled Cluster CCD             1.7673
12
  1.7479
51
CCSD             1.7687
12
  1.7515
57
CCSD=FULL             1.7632
12
  1.7482
56
CCSD(T)             1.7737
12
  1.7474
42
CCSD(T)=FULL             1.7678
12
  1.7493
44
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.