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Comparison of levels of theory for Li-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 1.7412
8
PM3 1.8128
8
PM6 1.7439
10
composite G2 1.7683
8
G3 1.7683
8
G3B3 1.7683
8
G3MP2 1.8943
1
G4 1.8222
10
CBS-Q 1.7691
8

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 daug-cc-pVDZ daug-cc-pVTZ
hartree fock HF 1.7622
9
1.7658
9
1.7658
9
2.1078
9
1.7734
9
1.7733
9
1.7613
9
1.7475
9
1.7473
9
1.7542
9
1.7962
2
1.8050
9
1.7757
9
1.7437
9
1.7565
6
1.7646
9
1.7446
9
1.7580
6
1.8113
2
1.8255
11
ROHF   1.8682
1
1.8682
1
1.9006
1
1.8740
1
1.8740
1
1.8637
1
1.8466
1
1.8466
1
  1.8448
1
1.8698
1
1.8814
1
1.8399
1
1.8391
1
1.8645
1
1.8433
1
1.8415
1
1.8592
1
1.8429
1
density functional LSDA 1.7199
7
1.7498
7
1.7498
7
1.7586
7
1.7524
7
1.7524
7
1.7385
7
1.7247
7
1.7247
7
1.7346
7
  1.7104
6
1.7538
7
1.7200
7
  1.7417
7
1.7193
7
     
BLYP 1.7580
9
1.7821
9
1.7821
9
1.7945
9
1.8536
11
1.7896
9
1.7830
9
1.7665
9
1.7662
9
1.7728
9
1.8124
2
1.7622
8
1.7915
9
1.7605
9
  1.8332
2
1.8111
2
  1.8253
2
1.8112
2
B1B95 1.7495
9
1.7745
8
1.7663
9
1.7834
9
1.7766
9
1.7766
9
1.7681
9
1.7409
8
1.7405
8
1.7585
9
1.7973
2
1.7455
8
1.7800
9
1.7609
6
1.8334
1
1.7710
9
1.7367
7
1.8380
1
1.8116
2
1.7953
2
B3LYP 1.7441
9
1.7665
9
1.7665
9
1.7802
9
1.7743
9
1.7742
9
1.7664
9
1.7500
9
1.7497
9
1.7566
9
1.7956
2
1.8113
9
1.7760
9
1.7450
9
1.7586
6
1.7683
9
1.7462
9
1.7605
6
1.8088
2
1.7941
2
B3LYPultrafine   1.7575
8
    1.7743
9
1.7645
8
1.7546
8
1.7398
8
  1.7963
2
1.7956
2
1.7454
8
1.7660
8
1.7346
8
  1.7570
8
1.8029
10
  1.8088
2
1.7941
2
B3PW91 1.7497
9
1.7703
9
1.7703
9
1.7845
9
1.7772
9
1.7772
9
1.7690
9
1.7533
9
1.7530
9
1.7606
9
1.7978
2
1.7480
8
1.7802
9
1.7483
9
  1.8189
2
1.7959
2
  1.8119
2
1.7958
2
mPW1PW91 1.7468
9
1.7658
9
1.7658
9
1.7808
9
1.7740
9
1.7739
9
1.7656
9
1.7493
9
1.7489
9
1.7569
9
1.7941
2
1.7445
8
1.7767
9
1.7445
9
  1.7566
8
1.7343
8
  1.8083
2
1.7919
2
M06-2X 1.7273
8
1.7499
8
1.8392
11
1.7624
8
1.7585
8
1.7585
8
1.7487
8
1.7352
8
1.7350
8
1.7404
8
1.8683
8
1.7418
8
1.7602
8
1.7316
8
  1.7507
8
1.7321
8
  1.8046
2
1.7900
2
PBEPBE 1.7581
9
1.7822
9
1.7822
9
1.7958
9
1.7904
9
1.7904
9
1.7819
9
1.7652
9
1.7649
9
1.7727
9
1.8095
2
1.7611
8
1.7920
9
1.7591
9
1.8479
1
1.7836
9
1.7601
9
1.8532
1
1.8240
2
1.8080
2
PBEPBEultrafine   1.7724
8
    1.7800
8
1.7800
8
1.7694
8
1.7542
8
  1.8126
2
1.8095
2
1.7611
8
1.7812
8
1.7480
8
  1.7715
8
1.7484
8
  1.8240
2
1.8080
2
PBE1PBE 1.7360
8
1.7562
8
1.7562
8
1.7691
8
1.8246
9
1.7637
8
1.7531
8
1.7382
8
1.7379
8
1.7458
8
1.7932
2
1.7435
8
1.7658
8
1.7331
8
  1.7559
8
1.7336
8
  1.8077
2
1.7912
2
HSEh1PBE 1.7367
8
1.7573
8
1.7573
8
1.7702
8
1.7648
8
1.7647
8
1.7545
8
1.7395
8
1.7392
8
1.7468
8
1.7941
2
1.7448
8
1.7669
8
1.7346
8
  1.7572
8
1.7350
8
  1.8083
2
1.7921
2
TPSSh 1.8325
2
1.7629
8
1.7629
8
1.7737
8
1.8218
10
1.7692
8
1.8128
10
1.7453
8
1.7975
2
1.9126
4
1.7991
2
1.7506
8
1.7717
8
1.7944
10
1.7915
2
1.7622
8
1.7404
8
1.7953
2
1.8126
2
1.7969
2
wB97X-D 1.8522
2
1.8048
2
1.8523
11
1.8353
2
1.8602
11
1.8231
2
1.8558
11
1.8061
2
1.8455
11
1.8075
2
1.8078
2
1.8513
11
1.8554
11
1.8415
11
1.7996
2
1.8285
2
1.8421
11
1.8029
2
1.8220
2
1.8056
2
B97D3 1.8409
2
1.8626
11
1.8361
2
1.8618
2
1.9223
11
1.8492
2
1.9408
11
1.8336
2
1.9066
11
1.8320
2
1.8840
11
1.9266
11
1.8526
2
1.8772
11
1.8237
2
1.8517
2
1.8832
11
1.8274
2
1.8446
2
1.9587
8
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 daug-cc-pVDZ daug-cc-pVTZ
Moller Plesset perturbation MP2 1.7910
9
1.8103
9
1.8103
9
1.8327
9
1.8910
11
1.8154
9
1.8067
9
1.8631
11
1.7852
9
1.7955
9
1.8154
2
1.8458
9
1.8219
9
1.7856
9
1.7925
6
1.8175
9
1.7903
9
1.7840
5
1.8374
2
1.8160
2
MP2=FULL 1.7904
9
1.8096
9
1.8096
9
1.8307
9
1.8066
9
1.8069
9
1.7752
9
1.7775
9
1.7773
9
1.7716
9
1.8036
2
1.7786
8
1.8144
9
1.7697
9
1.7703
6
1.7682
8
1.8543
11
1.7676
6
1.8108
2
1.7919
2
ROMP2 1.9742
1
1.8940
1
1.8940
1
1.9350
1
1.9012
1
1.9012
1
1.9006
1
1.8704
1
1.8704
1
1.8776
1
1.8748
1
1.8947
1
1.9100
1
1.8673
1
  1.9052
1
    1.8985
1
1.8756
1
MP3         1.7817
9
  1.8175
10
      1.7448
1
1.7216
7
1.7578
7
1.7234
7
        1.7648
1
1.7452
1
MP3=FULL   1.7244
1
1.7244
1
1.7554
1
1.8176
10
1.7447
1
1.7887
10
1.7249
1
1.7233
1
1.7281
1
1.7328
1
1.7189
7
1.7491
7
1.7096
7
  1.7364
1
1.7239
1
  1.7477
1
1.7241
1
MP4   1.8650
10
    1.8854
10
      1.8486
10
  1.7536
1
1.7966
7
1.8265
7
1.8444
9
  1.8132
7
1.7819
7
  1.7742
1
1.7547
1
MP4=FULL   1.8072
7
    1.8074
7
      1.7764
7
  1.7416
1
  1.8175
7
1.7598
7
  1.7595
7
1.7488
7
  1.7555
1
1.7325
1
B2PLYP 1.7494
8
1.7749
8
1.7749
8
1.7892
8
1.7882
5
1.7881
5
1.7699
8
1.7544
8
1.7542
8
1.7616
8
1.8011
2
1.7567
8
1.7839
8
1.8026
10
  1.7747
8
1.7628
5
  1.8170
2
1.8002
2
B2PLYP=FULL 1.7492
8
1.7747
8
1.7747
8
1.7885
8
1.7856
5
1.7855
5
1.7605
8
1.7519
8
1.7516
8
1.7540
8
1.7969
2
1.7556
8
1.7810
8
1.7459
8
  1.7727
5
1.7552
5
  1.8083
2
1.7928
2
B2PLYP=FULLultrafine 1.8580
2
1.8040
2
1.8040
2
1.8327
2
1.9128
8
1.8169
2
1.8191
2
1.7956
2
1.7945
2
1.7974
2
1.7969
2
1.8174
2
1.9189
8
1.8725
8
  1.8129
2
1.8699
8
  1.8083
2
1.7928
2
Configuration interaction CID   1.7847
9
1.7847
9
1.8047
9
1.7861
9
    1.7566
9
    1.8058
2
  1.8342
2
1.7981
2
        1.8312
2
1.8058
2
CISD   1.7894
9
1.7894
9
1.8097
9
1.7890
9
    1.7594
9
    1.8093
2
  1.8398
2
1.8010
2
        1.8350
2
1.8092
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 daug-cc-pVDZ daug-cc-pVTZ
Quadratic configuration interaction QCISD   1.8099
5
1.8099
5
1.8323
5
1.8041
5
1.8040
5
1.7967
5
1.7738
5
1.7735
5
1.7901
6
1.8151
2
1.7641
8
1.8105
5
1.7797
6
  1.8034
5
1.7718
5
  1.8414
2
1.8151
2
QCISD(T)         1.8170
6
    1.8155
2
    1.8192
2
1.7807
5
1.8232
6
1.7733
9
  1.8205
6
1.7903
6
  1.8464
2
1.8198
2
QCISD(T)=FULL         1.7987
5
  1.7663
5
      1.8067
2
  1.8060
5
1.7493
8
1.7472
5
1.7636
5
1.7523
5
1.7432
5
1.8118
2
1.7930
2
QCISD(TQ)         1.7644
3
              1.7697
3
1.7403
6
1.7382
3
1.7626
3
1.7416
3
     
QCISD(TQ)=FULL         1.7553
3
  1.7106
3
          1.7602
3
1.7253
6
1.7118
3
1.7229
3
1.7157
3
     
Coupled Cluster CCD   1.7835
8
1.7835
8
1.8011
8
1.7917
9
1.7917
9
1.7840
9
1.7619
9
1.7618
9
1.7715
9
1.8098
2
1.7540
8
1.7983
9
1.7608
9
  1.7934
9
1.7645
9
  1.8350
2
1.8100
2
CCSD         1.7973
9
1.8387
2
1.8430
2
1.8101
2
1.8094
2
1.8131
2
1.8141
2
1.7592
8
1.7937
8
1.7547
8
1.7619
5
1.7859
8
1.7573
8
1.8093
2
1.8400
2
1.8141
2
CCSD=FULL         1.7803
8
        1.8040
2
1.8019
2
1.7562
8
1.7857
8
1.7399
8
1.7389
5
1.7441
8
1.7321
8
1.8488
1
1.8069
2
1.7879
2
CCSD(T)         1.8109
9
1.8429
2
1.8478
2
1.8145
2
1.8134
2
1.8162
2
1.8185
2
1.7777
8
1.8157
9
1.7723
9
1.7820
6
1.8091
9
1.7761
9
1.7848
6
1.8454
2
1.8191
2
CCSD(T)=FULL         1.8808
9
          1.8060
2
1.7740
8
1.8601
9
1.8013
9
1.8231
7
1.8127
9
1.7901
9
1.8179
7
1.8112
2
1.7924
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 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 2.2112
9
1.8063
9
1.7364
9
1.7300
9
1.7958
9
1.7858
9
    1.8319
11
ROHF                 1.8403
1
density functional BLYP                 1.8106
2
B1B95                 1.7932
2
B3LYP 1.8377
9
1.8162
9
1.7549
9
1.7501
9
1.7875
9
1.7851
9
    1.8337
11
B3LYPultrafine                 1.7926
2
B3PW91                 1.7939
2
mPW1PW91                 1.7897
2
M06-2X                 1.7898
2
PBEPBE 1.9783
1
1.9435
1
1.8675
1
1.8482
1
1.9106
1
1.9152
1
    1.8331
11
PBEPBEultrafine                 1.8067
2
PBE1PBE                 1.7890
2
HSEh1PBE                 1.7898
2
TPSSh                 1.7940
2
wB97X-D 1.9041
2
1.8776
2
1.7957
2
1.7855
2
1.8523
2
1.8490
2
    1.8024
2
B97D3                 1.8295
2
Moller Plesset perturbation MP2 1.8730
9
1.8408
9
1.7829
9
1.7668
9
1.8420
9
1.8309
9
    1.8520
11
MP2=FULL                 1.7992
2
ROMP2                 1.8666
1
MP3                 1.7375
1
MP3=FULL                 1.7299
1
MP4                 1.7441
1
MP4=FULL                 1.7363
1
B2PLYP                 1.7959
2
B2PLYP=FULL                 1.7936
2
B2PLYP=FULLultrafine                 1.7936
2
Configuration interaction CID                 1.7990
2
CISD                 1.8022
2
Quadratic configuration interaction QCISD                 1.8074
2
QCISD(T)                 1.8109
2
QCISD(T)=FULL                 1.8029
2
Coupled Cluster CCD                 1.8026
2
CCSD                 1.8064
2
CCSD=FULL                 1.7984
2
CCSD(T)                 1.8102
2
CCSD(T)=FULL                 1.8023
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.