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Comparison of levels of theory for Li-Ne


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 PM6 2.3191
1
composite G2 2.0016
1
G3 2.0016
1
G3B3 1.9397
1
G4 1.9464
1
CBS-Q 2.0521
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 daug-cc-pVTZ
hartree fock HF 1.6892
1
1.9243
1
1.9243
1
2.1109
1
2.0023
1
2.0022
1
2.1130
1
2.0816
1
2.0816
1
1.9976
1
2.0623
1
2.2486
1
2.1045
1
2.1198
1
2.0515
1
2.1088
1
2.0745
1
2.0434
1
 
density functional BLYP 1.6726
1
1.8825
1
1.8825
1
2.0321
1
1.9422
1
1.9422
1
2.1424
1
2.0066
1
2.0066
1
1.9506
1
2.0666
1
2.1824
1
2.0109
1
2.0570
1
  2.1356
1
2.0652
1
   
B1B95 1.6926
1
1.9418
1
1.9418
1
2.1161
1
1.9770
1
1.9770
1
2.1781
1
  2.0745
1
1.9802
1
2.1219
1
2.3029
1
  2.1282
1
  2.1755
1
2.1258
1
   
B3LYP 1.6683
1
1.8800
1
1.8800
1
2.0313
1
1.9397
1
1.9397
1
2.1083
1
2.0052
1
2.0052
1
1.9464
1
2.0391
1
2.1713
1
2.0144
1
2.0500
1
2.0148
1
2.1012
1
2.0418
1
2.0122
1
 
B3LYPultrafine   1.8830
1
    1.9420
1
1.9420
1
2.1094
1
2.0065
1
  1.9481
1
2.0391
1
2.1677
1
2.0162
1
2.0521
1
  2.1025
1
2.0437
1
   
B3PW91 1.6897
1
1.9298
1
1.9298
1
2.1062
1
1.9968
1
1.9968
1
2.1886
1
2.0745
1
2.0745
1
1.9979
1
2.1151
1
2.2759
1
2.0872
1
2.1300
1
  2.1875
1
2.1187
1
   
mPW1PW91 1.6851
1
1.9155
1
1.9155
1
2.0824
1
1.9774
1
1.9774
1
2.1511
1
2.0510
1
2.0510
1
1.9801
1
2.0819
1
2.2243
1
2.0654
1
2.1004
1
  2.1485
1
2.0862
1
   
M06-2X 1.6747
1
1.8902
1
1.8902
1
2.0745
1
1.9658
1
1.9658
1
2.1201
1
2.0431
1
2.0431
1
1.9681
1
2.0623
1
2.2174
1
2.0510
1
2.1021
1
  2.1150
1
2.0801
1
   
PBEPBE 1.6790
1
1.8999
1
1.8999
1
2.0482
1
1.9548
1
1.9548
1
2.1439
1
2.0167
1
2.0167
1
1.9624
1
2.0745
1
2.1849
1
2.0285
1
2.0679
1
  2.1403
1
2.0745
1
   
PBEPBEultrafine   1.9004
1
    1.9580
1
1.9580
1
2.1434
1
2.0187
1
  1.9654
1
2.0745
1
2.1841
1
2.0310
1
2.0685
1
  2.1391
1
2.0745
1
   
PBE1PBE 1.6782
1
1.9028
1
1.9028
1
2.0584
1
1.9594
1
1.9594
1
2.1200
1
2.0256
1
2.0256
1
1.9640
1
2.0533
1
2.1888
1
2.0435
1
2.0745
1
  2.1160
1
2.0581
1
   
HSEh1PBE 1.6787
1
1.9017
1
1.9017
1
2.0571
1
1.9582
1
1.9582
1
2.1169
1
2.0248
1
2.0248
1
1.9623
1
2.0508
1
2.1905
1
2.0427
1
2.0745
1
  2.1121
1
2.0568
1
   
TPSSh 1.6846
1
1.9151
1
1.9151
1
2.0745
1
1.9713
1
1.9713
1
2.1445
1
2.0444
1
2.0444
1
1.9743
1
2.0745
1
2.2036
1
2.0596
1
2.0957
1
2.0513
1
2.1417
1
2.0833
1
2.0505
1
 
wB97X-D 1.7176
1
1.9989
1
1.9989
1
2.2108
1
2.1011
1
2.1011
1
2.3081
1
2.2103
1
2.2103
1
2.0924
1
2.2652
1
2.3919
1
2.1878
1
2.2749
1
2.2384
1
2.3093
1
2.2713
1
2.2338
1
 
B97D3 1.7151
1
1.9563
1
1.9563
1
2.1314
1
2.0346
1
2.0346
1
2.2440
1
2.1084
1
2.1084
1
2.0340
1
2.1755
1
2.5111
1
2.1101
1
2.1660
1
2.1329
1
2.2432
1
2.1799
1
2.1399
1
2.1547
1
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-pVTZ
Moller Plesset perturbation MP2 1.6764
1
1.9037
1
1.9037
1
2.0936
1
1.9925
1
1.9925
1
2.1437
1
2.0410
1
2.0410
1
1.9814
1
2.0810
1
2.2514
1
2.0745
1
2.1045
1
2.0669
1
2.1371
1
2.0956
1
2.0658
1
 
MP2=FULL 1.6767
1
1.9031
1
1.9031
1
2.0926
1
1.9861
1
1.9861
1
2.1073
1
2.0288
1
2.0288
1
1.9697
1
2.0431
1
2.2466
1
2.0745
1
2.0745
1
2.0431
1
2.0745
1
2.0362
1
2.0137
1
 
MP3         1.9937
1
  2.1319
1
      2.0745
1
2.2497
1
2.0803
1
2.1028
1
         
MP3=FULL   1.9058
1
1.9058
1
2.0971
1
1.9868
1
1.9868
1
2.0919
1
2.0314
1
2.0314
1
1.9671
1
2.0298
1
2.2448
1
2.0745
1
2.0745
1
  2.0528
1
2.0199
1
   
B2PLYP 1.6659
1
1.8770
1
1.8770
1
2.0377
1
1.9451
1
1.9451
1
2.0987
1
2.0047
1
2.0047
1
1.9479
1
2.0349
1
2.1749
1
2.0224
1
2.0521
1
  2.0904
1
2.0420
1
   
B2PLYP=FULL 1.6660
1
1.8769
1
1.8769
1
2.0374
1
1.9433
1
1.9433
1
2.0861
1
2.0013
1
2.0013
1
1.9446
1
2.0239
1
2.1739
1
2.0218
1
2.0441
1
  2.0745
1
2.0258
1
   
B2PLYP=FULLultrafine 1.6628
1
1.8792
1
1.8792
1
2.0394
1
1.9448
1
1.9448
1
2.0885
1
2.0020
1
2.0020
1
1.9459
1
2.0256
1
2.1714
1
2.0232
1
2.0452
1
  2.0745
1
2.0261
1
   
Configuration interaction CID   1.9067
1
1.9067
1
2.0984
1
1.9939
1
    2.0461
1
    2.0688
1
  2.0810
1
2.1034
1
         
CISD   1.9053
1
1.9053
1
2.0952
1
1.9914
1
    2.0438
1
    2.0745
1
  2.0745
1
2.1021
1
         
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-pVTZ
Quadratic configuration interaction QCISD   1.9039
1
1.9039
1
2.0938
1
1.9906
1
1.9906
1
2.1405
1
2.0422
1
2.0422
1
1.9790
1
2.0745
1
2.2502
1
2.0745
1
2.1021
1
  2.1314
1
2.0884
1
   
Coupled Cluster CCD   1.9055
1
1.9055
1
2.0977
1
1.9937
1
1.9937
1
2.1340
1
2.0453
1
2.0453
1
1.9802
1
2.0745
1
2.2501
1
2.0795
1
2.1035
1
  2.1264
1
2.0844
1
   
CCSD         1.9916
1
1.9916
1
2.1373
1
2.0432
1
2.0432
1
1.9793
1
2.0745
1
2.2500
1
2.0745
1
2.1025
1
2.0597
1
2.1292
1
2.0869
1
2.0571
1
 
CCSD=FULL         1.9848
1
        1.9670
1
2.0335
1
2.2456
1
2.0745
1
2.0745
1
2.0338
1
2.0594
1
2.0238
1
1.9980
1
 
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-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 2.3569
1
  2.2924
1
  2.2548
1
2.2471
1
    2.1212
1
density functional BLYP                 2.0638
1
B1B95                 2.1328
1
B3LYP 2.2953
1
  2.2472
1
  2.1423
1
2.1265
1
    2.0514
1
B3LYPultrafine                 2.0514
1
B3PW91                 2.1432
1
mPW1PW91                 2.1055
1
M06-2X                 2.1115
1
PBEPBE                 2.0745
1
PBEPBEultrafine                 2.0745
1
PBE1PBE                 2.0745
1
HSEh1PBE                 2.0745
1
TPSSh                 2.0986
1
wB97X-D 2.3454
1
  2.3172
1
  2.3405
1
2.3304
1
    2.3178
1
B97D3                 2.1852
1
Moller Plesset perturbation MP2 2.3305
1
  2.2447
1
  2.2307
1
2.2227
1
    2.1264
1
MP2=FULL                 2.1064
1
MP3                 2.1219
1
MP3=FULL                 2.0995
1
B2PLYP                 2.0557
1
B2PLYP=FULL                 2.0504
1
B2PLYP=FULLultrafine                 2.0509
1
Configuration interaction CID                 2.1217
1
CISD                 2.1223
1
Quadratic configuration interaction QCISD                 2.1236
1
Coupled Cluster CCD                 2.1230
1
CCSD                 2.1232
1
CCSD=FULL                 2.1015
1
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.