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Comparison of levels of theory for Cl-N


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 1.6561
10
PM3 1.6607
11
PM6 1.6983
12
composite G2 1.7073
11
G3 1.7073
11
G3B3 1.7682
12
G3MP2 1.7470
5
G4 1.7547
13
CBS-Q 1.7089
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(D+d)Z 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 1.8211
11
1.9568
11
1.7905
11
2.0166
11
1.7299
12
1.7099
11
1.7037
10
1.7194
11
1.7193
11
1.7008
11
1.7273
9
1.7352
12
1.7270
11
1.7033
11
1.6916
10
1.7223
11
1.7024
11
1.6908
10
1.6577
1
1.7394
6
1.7749
2
1.6707
1
1.6392
1
1.9155
1
1.7857
4
1.7122
12
ROHF 1.7166
2
1.7228
2
1.6151
2
1.7009
2
1.5758
2
1.5758
2
1.5759
2
1.5760
2
1.5760
2
1.5663
2
1.6445
1
1.6738
1
1.5851
2
1.5683
2
1.5627
2
1.5854
2
1.5682
2
1.5625
2
1.6577
1
1.6389
1
1.6481
1
1.6745
1
1.6392
1
     
density functional LSDA 1.8524
8
1.8237
8
1.7807
8
1.8538
8
1.7406
8
1.7406
8
1.7353
8
1.7486
8
1.7486
8
1.7190
8
1.7464
3
1.7807
3
1.7494
8
1.7227
8
1.5427
2
1.7386
8
1.6564
6
1.5417
2
1.6136
1
1.5901
1
1.7607
2
1.6304
1
1.5916
1
1.9357
1
   
BLYP 1.8993
11
1.9292
11
1.8546
11
1.9216
11
1.7989
12
1.8146
11
1.8099
11
1.8239
11
1.8241
11
1.7949
11
1.8177
8
1.8503
8
1.8212
11
1.7986
11
  1.8596
9
1.8283
8
  1.6652
1
1.6421
1
1.8401
2
1.6813
1
1.6427
1
2.0435
1
1.8835
4
1.8702
4
B1B95 1.8443
11
1.8093
8
1.7769
11
1.8511
11
1.7401
11
1.7410
11
1.7370
11
1.7480
11
1.7481
11
1.7260
11
1.7474
8
1.7746
8
1.7515
11
1.7276
11
1.5570
3
1.7429
11
1.7505
10
1.5559
3
1.6260
1
1.6066
1
1.7785
2
1.6403
1
1.6071
1
1.9537
1
1.8105
4
1.7962
4
B3LYP 1.8630
11
1.8888
11
1.8064
11
1.8773
11
1.7688
11
1.7688
11
1.7644
11
1.7764
11
1.7601
10
1.7523
11
1.7874
9
1.7792
12
1.7783
11
1.7551
11
1.7329
10
1.7696
11
1.7525
11
1.7315
10
1.6451
1
1.8073
6
1.8053
2
1.6606
1
1.6234
1
1.9921
1
1.8402
4
1.8268
4
B3LYPultrafine   1.9174
8
    1.7689
11
1.8008
8
1.8082
9
1.8080
8
  1.7838
8
1.7748
8
1.8044
8
1.8092
8
1.8005
9
  1.8020
8
1.7568
12
  1.6451
1
1.6230
1
1.8054
2
1.6611
1
1.6241
1
1.9921
1
1.8402
4
1.8268
4
B3PW91 1.8408
10
1.8737
11
1.7879
11
1.8613
11
1.7509
11
1.7508
11
1.7467
11
1.7572
11
1.7417
10
1.7356
11
1.7574
8
1.7858
8
1.7612
11
1.7379
11
  1.7958
9
1.7807
9
  1.6324
1
1.6118
1
1.7863
2
1.6478
1
1.6123
1
1.9640
1
1.8206
4
1.8068
4
mPW1PW91 1.8330
10
1.8641
11
1.7654
10
1.8513
11
1.7413
11
1.7412
11
1.7375
11
1.7476
11
1.7478
11
1.7267
11
1.7488
8
1.7761
8
1.7516
11
1.7291
11
  1.7859
9
1.7586
8
  1.6287
1
1.6088
1
1.7780
2
1.6438
1
1.6093
1
1.9503
1
1.8112
4
1.7973
4
M06-2X 1.8409
8
1.8801
8
1.7801
12
1.8649
8
1.7404
12
1.7645
8
1.7614
8
1.7711
8
1.7712
8
1.7633
9
1.7128
12
1.7688
8
1.7746
8
1.7643
9
  1.7691
8
1.7628
9
  1.6376
1
1.6160
1
1.7746
2
1.6518
1
1.6169
1
1.9374
1
1.8043
4
1.7894
4
PBEPBE 1.8645
10
1.9042
11
1.8095
10
1.8820
10
1.7840
11
1.7839
11
1.7791
11
1.7918
11
1.7920
11
1.7650
11
1.8015
9
1.8174
8
1.7912
11
1.7681
11
1.5754
3
1.7908
9
1.7901
10
1.5739
3
1.6419
1
1.6212
1
1.8069
2
1.6577
1
1.6218
1
1.9967
1
1.8492
4
1.8355
4
PBEPBEultrafine   1.9325
8
    1.8300
9
1.8147
8
1.8103
8
1.8222
8
  1.7951
8
1.7860
8
1.8174
8
1.8210
8
1.7987
8
  1.8123
8
1.7963
8
  1.6421
1
1.6214
1
1.8070
2
1.6583
1
1.6221
1
1.9967
1
1.8492
4
1.8355
4
PBE1PBE 1.8547
8
1.8083
8
1.8083
8
1.8795
8
1.7465
12
1.7701
8
1.7666
8
1.7763
8
1.7765
8
1.7553
8
1.7467
8
1.7737
8
1.7795
8
1.7579
8
  1.7732
8
1.7562
8
  1.6265
1
1.6070
1
1.7746
2
1.6419
1
1.6080
1
1.9453
1
1.8087
4
1.7945
4
HSEh1PBE 1.8569
8
1.8884
11
1.8111
8
1.8829
8
1.7627
11
1.7724
8
1.7528
11
1.7793
8
1.7794
8
1.7575
8
1.7490
8
1.7764
8
1.7822
8
1.7444
11
  1.7757
8
1.7587
8
  1.6280
1
1.6081
1
1.7786
2
1.6430
1
1.6086
1
1.9523
1
1.8117
4
1.7977
4
TPSSh 1.8794
8
1.9202
8
1.8460
8
1.9105
8
1.7779
12
1.8019
8
1.7741
12
1.8084
8
1.8087
8
1.7565
12
1.7766
8
1.8056
8
1.8105
8
1.7657
12
1.7816
8
1.8037
8
1.7863
8
1.7801
8
1.6447
1
1.6240
1
1.8068
2
1.6600
1
1.6247
1
1.9924
1
1.8418
4
1.8274
4
wB97X-D 1.8550
8
1.8834
8
1.7727
12
1.8699
8
1.7451
12
1.7685
8
1.7418
12
1.7753
8
1.7514
12
1.7548
8
1.7469
8
1.7488
12
1.7474
12
1.7368
12
1.7525
8
1.7734
8
1.7346
12
1.7513
8
1.6308
1
1.6112
1
1.7758
2
1.6462
1
1.6121
1
1.9436
1
1.8080
4
1.7959
4
B97D3 1.9044
8
1.9233
12
1.8692
8
1.9372
8
1.7970
12
1.8248
8
1.7906
12
1.8322
8
1.8049
12
1.8058
8
1.7611
12
1.8015
12
1.8317
8
1.7778
12
1.8017
8
1.8233
8
1.7751
12
1.8001
8
1.6464
1
1.6248
1
1.8243
2
1.6631
1
1.6259
1
2.0278
1
1.8628
4
1.7744
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 daug-cc-pVDZ daug-cc-pVTZ
Moller Plesset perturbation MP2 1.8583
10
1.9323
11
1.8106
11
1.9179
11
1.7587
12
1.7475
11
1.7429
11
1.7621
12
1.7531
11
1.7357
11
1.7609
8
1.7564
12
1.7688
11
1.7354
11
1.7408
9
1.7671
11
1.7344
11
1.7627
8
1.6403
1
1.7471
8
1.8143
2
1.6532
1
1.6114
1
2.0201
1
1.8508
4
1.8179
4
MP2=FULL 1.8581
10
1.9323
11
1.7913
10
1.9015
10
1.7463
11
1.7453
11
1.7409
11
1.7513
11
1.7312
10
1.7280
11
1.7542
8
1.7873
8
1.7674
11
1.7305
11
1.7356
9
1.7961
10
1.7364
12
1.7561
8
1.6385
1
1.7407
8
1.8052
2
1.6516
1
  2.0154
1
1.8482
4
1.8097
4
ROMP2 1.6613
1
  1.5217
1
1.6134
1
1.4953
1
1.4953
1
1.4945
1
1.4879
1
1.4879
1
1.4830
1
    1.5050
1
1.4838
1
1.4755
1
1.5084
1
1.4837
1
1.4756
1
1.6383
1
1.6085
1
           
MP3         1.7338
11
  1.7503
12
      1.7213
7
1.7491
7
1.7626
7
1.7336
7
        1.6543
1
1.6260
1
1.7857
2
1.6679
1
1.6256
1
1.9495
1
1.7792
3
1.7484
3
MP3=FULL   1.8900
7
1.7951
7
1.8787
7
1.7533
12
1.7443
7
1.7463
12
1.7410
7
1.7409
7
1.7268
7
1.7155
7
1.7478
7
1.7611
7
1.7286
7
  1.7632
7
1.7257
7
  1.6524
1
1.6209
1
1.7775
2
1.6665
1
1.6209
1
1.9448
1
1.7768
3
1.7417
3
MP4   1.9195
8
    1.7839
10
      1.7226
8
  1.7643
6
1.7927
6
1.8066
6
1.7726
9
  1.8102
6
1.7770
6
  1.6558
1
1.6259
1
2.0361
1
    2.0370
1
1.7999
3
1.7687
3
MP4=FULL   1.9711
6
    1.7856
6
      1.7844
6
  1.7577
6
  1.8048
6
1.7716
6
  1.8078
6
1.7689
6
      2.0236
1
    2.0304
1
1.7973
3
1.7611
3
B2PLYP 1.8716
8
1.9304
8
1.8419
8
1.9214
8
1.7705
12
1.7931
8
1.7896
8
1.8000
8
1.8002
8
1.7931
9
1.7702
8
1.7982
8
1.8058
8
1.7587
12
  1.8030
8
1.7939
9
  1.6421
1
1.6184
1
1.8068
2
1.6571
1
1.6220
1
1.9995
1
1.8426
4
1.8228
4
B2PLYP=FULL 1.8715
8
1.9307
8
1.8418
8
1.9214
8
1.7927
8
1.7924
8
1.7890
8
1.7994
8
1.7997
8
1.7766
8
1.7682
8
1.7976
8
1.8053
8
1.7803
8
  1.8023
8
1.7781
8
  1.6416
1
1.6169
1
1.8043
2
1.6570
1
1.6175
1
1.9982
1
1.8418
4
1.8200
4
B2PLYP=FULLultrafine 1.8715
8
1.9304
8
1.8418
8
1.9214
8
1.7683
13
1.7924
8
1.7890
8
1.7995
8
1.7997
8
1.7766
8
1.7683
8
1.7976
8
1.7814
13
1.7527
13
  1.8024
8
1.7478
13
  1.6416
1
1.6170
1
1.8043
2
1.6571
1
1.6176
1
1.9982
1
1.8418
4
1.8200
4
Configuration interaction CID   1.8961
10
1.7551
10
1.8765
10
1.7195
11
    1.7126
10
    1.7279
8
  1.7746
8
1.7400
8
        1.6530
1
1.6228
1
1.7657
2
1.6666
1
1.6228
1
1.9132
1
1.8083
4
1.7752
4
CISD   1.9027
9
1.7609
10
1.8906
9
1.7230
11
    1.7164
10
    1.7294
8
  1.7769
8
1.7415
8
        1.6534
1
1.6219
1
1.7665
2
1.6675
1
1.6221
1
1.9156
1
1.8101
4
1.7771
4
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 daug-cc-pVDZ daug-cc-pVTZ
Quadratic configuration interaction QCISD   1.9241
11
1.7970
10
1.9070
10
1.7520
11
1.7386
10
1.7352
10
1.7513
11
1.7512
11
1.7367
11
1.7529
8
1.7845
8
1.7573
10
1.7353
11
  1.7992
8
1.7750
9
  1.6590
1
1.6280
1
1.7820
2
1.6731
1
1.6274
1
1.9409
1
1.8337
4
1.8002
4
QCISD(T)   1.9303
1
    1.7640
9
1.7763
1
1.7719
1
1.8210
7
    1.7913
7
1.8203
7
1.7827
9
1.7491
9
  1.7821
9
1.7479
9
  1.6628
1
1.6316
1
1.9768
1
    1.9780
1
1.8536
4
1.8201
4
QCISD(T)=FULL         1.8146
7
  1.8108
7
      1.7840
7
  1.8360
7
1.7970
7
1.8057
4
1.8346
7
1.8125
4
1.8024
4
    1.9660
1
    1.9725
1
1.9046
2
1.8638
2
Coupled Cluster CCD   1.9110
10
1.7790
10
1.8934
10
1.7397
11
1.7260
10
1.7229
10
1.7265
10
1.7264
10
1.7128
10
1.7476
8
1.7772
8
1.7440
10
1.7121
10
  1.7434
10
1.7102
10
  1.6555
1
1.6258
1
1.7813
2
1.6686
1
1.6254
1
1.9417
1
1.8292
4
1.7962
4
CCSD   1.9151
1
    1.7490
11
1.7782
8
1.7743
8
1.7806
8
1.7806
8
1.7757
9
1.7509
8
1.7820
8
1.7986
8
1.7748
9
1.7525
8
1.7972
8
1.7725
9
1.7547
5
1.6566
1
1.6258
1
1.7787
2
1.6712
1
1.6257
1
1.9371
1
1.8317
4
1.7981
4
CCSD=FULL         1.7873
9
        1.7667
9
1.7440
8
1.7799
8
1.7969
8
1.7693
9
1.7510
5
1.7948
8
1.7653
9
1.7480
5
1.6543
1
1.6200
1
1.7705
2
1.6691
1
1.6199
1
  1.8290
4
1.7904
4
CCSD(T)   1.9300
1
    1.8240
8
1.8150
7
1.8114
7
1.8192
7
1.8193
7
1.8009
7
1.7900
7
1.8185
7
1.7803
9
1.7466
9
1.7208
6
1.7797
9
1.7454
9
1.7526
8
1.6606
1
1.6296
1
1.9741
1
    1.9749
1
1.8523
4
1.8188
4
CCSD(T)=FULL         1.8595
7
          1.7828
7
1.8164
7
1.8345
7
1.7958
7
1.7164
6
1.8332
7
1.8111
4
1.7396
5
1.6585
1
1.6240
1
1.9637
1
    1.9699
1
1.8496
4
1.8103
4
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 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 2.0335
11
1.7174
11
2.0428
11
1.7202
11
2.0214
11
2.0240
11
    1.7114
12
ROHF                 1.6474
1
density functional LSDA                 1.7481
3
BLYP                 1.8204
8
B1B95 1.9764
2
1.9082
2
            1.7485
8
B3LYP 1.8743
11
1.7775
11
1.8710
11
1.7757
11
1.8725
11
1.8729
11
    1.7494
12
B3LYPultrafine                 1.7767
8
B3PW91                 1.7593
8
mPW1PW91                 1.7505
8
M06-2X                 1.7445
8
PBEPBE                 1.7560
12
PBEPBEultrafine                 1.7880
8
PBE1PBE                 1.7482
8
HSEh1PBE                 1.7505
8
TPSSh                 1.7783
8
wB97X-D 1.8680
8
1.7767
8
1.8653
8
1.7760
8
1.8698
8
1.8697
8
    1.7491
8
B97D3                 1.7982
8
Moller Plesset perturbation MP2 1.9073
11
1.7617
11
1.9047
11
1.7606
11
1.8899
11
1.8960
11
    1.7376
12
MP2=FULL                 1.7605
8
MP3                 1.7257
7
MP3=FULL                 1.7224
7
MP4                 1.7693
6
MP4=FULL                 1.7653
6
B2PLYP                 1.7722
8
B2PLYP=FULL                 1.7711
8
B2PLYP=FULLultrafine                 1.7711
8
Configuration interaction CID                 1.7317
8
CISD                 1.7331
8
Quadratic configuration interaction QCISD                 1.7572
8
QCISD(T)                 1.7947
7
QCISD(T)=FULL                 1.8084
4
Coupled Cluster CCD                 1.7522
8
CCSD                 1.7554
8
CCSD=FULL                 1.7510
8
CCSD(T)                 1.7932
7
CCSD(T)=FULL                 1.7892
7
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.