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Comparison of levels of theory for Al-Li


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 2.3911
1
PM3 2.5801
1
PM6 1.6325
1
composite G2 2.9271
1
G3 2.9271
1
G3B3 2.8994
1
G4 2.8868
1
CBS-Q 2.9271
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-pVDZ daug-cc-pVTZ
hartree fock HF 2.7788
1
2.9580
1
2.9394
1
2.9498
1
2.9271
1
2.9271
1
2.9218
1
2.9245
1
2.9245
1
2.9193
1
2.9235
1
2.9256
1
2.9327
1
2.9256
1
2.9217
1
2.9275
1
2.9236
1
2.9215
1
2.9279
1
2.9237
1
density functional BLYP 2.7392
1
2.9344
1
2.9261
1
2.9371
1
2.9226
1
2.9226
1
2.9192
1
2.9142
1
2.9142
1
2.9097
1
2.9086
1
2.9218
1
2.9191
1
2.9091
1
  2.9133
1
2.9079
1
  2.9118
1
2.9081
1
B1B95 2.7262
1
2.9013
1
2.9013
1
2.9109
1
2.8969
1
2.8969
1
2.8933
1
2.8908
1
2.8908
1
2.8871
1
2.8867
1
2.8965
1
2.8966
1
2.8878
1
  2.8915
1
2.8863
1
  2.8905
1
2.8867
1
B3LYP 2.7374
1
2.9138
1
2.9039
1
2.9153
1
2.8994
1
2.8994
1
2.8957
1
2.8910
1
2.8910
1
2.8868
1
2.8865
1
2.8959
1
2.8971
1
2.8871
1
2.8800
1
2.8912
1
2.8856
1
2.8804
1
2.8898
1
2.8858
1
B3LYPultrafine   2.9138
1
    2.8994
1
2.8994
1
2.8957
1
2.8910
1
  2.8868
1
2.8865
1
2.8959
1
2.8971
1
2.8871
1
  2.8912
1
2.8856
1
  2.8898
1
2.8858
1
B3PW91 2.7327
1
2.9240
1
2.9138
1
2.9226
1
2.9071
1
2.9071
1
2.9047
1
2.9019
1
2.9019
1
2.8973
1
2.8978
1
2.9031
1
2.9067
1
2.8952
1
  2.9019
1
2.8940
1
  2.9006
1
2.8948
1
mPW1PW91 2.7298
1
2.9200
1
2.9095
1
2.9184
1
2.9026
1
2.9026
1
2.8997
1
2.8980
1
2.8980
1
2.8935
1
2.8940
1
2.8989
1
2.9024
1
2.8917
1
  2.8976
1
2.8902
1
  2.8964
1
2.8910
1
M06-2X 2.7284
1
2.8908
1
2.8783
1
2.8862
1
2.8692
1
2.8692
1
2.8642
1
2.8671
1
2.8671
1
2.8590
1
2.8633
1
2.8718
1
2.8765
1
2.8663
1
  2.8701
1
2.8640
1
  2.8696
1
2.8644
1
PBEPBE 2.7240
1
2.9331
1
2.9251
1
2.9333
1
2.9192
1
2.9192
1
2.9163
1
2.9138
1
2.9138
1
2.9077
1
2.9081
1
2.9179
1
2.9178
1
2.9063
1
  2.9122
1
2.9046
1
  2.9107
1
2.9051
1
PBEPBEultrafine   2.9331
1
    2.9192
1
2.9192
1
2.9163
1
2.9138
1
  2.9077
1
2.9081
1
2.9179
1
2.9178
1
2.9063
1
  2.9122
1
2.9046
1
  2.9107
1
2.9051
1
PBE1PBE 2.7272
1
2.9081
1
2.9081
1
2.9171
1
2.9012
1
2.9012
1
2.8983
1
2.8964
1
2.8964
1
2.8916
1
2.8922
1
2.8980
1
2.9009
1
2.8905
1
  2.8959
1
2.8889
1
  2.8947
1
2.8896
1
HSEh1PBE 2.7290
1
2.9222
1
2.9118
1
2.9210
1
2.9049
1
2.9049
1
2.9020
1
2.8994
1
2.8994
1
2.8942
1
2.8951
1
2.9016
1
2.9041
1
2.8936
1
  2.8989
1
2.8921
1
  2.8977
1
2.8927
1
TPSSh 2.7292
1
2.9291
1
2.9163
1
2.9291
1
2.9110
1
2.9110
1
2.9091
1
2.9067
1
2.9067
1
2.9024
1
2.9026
1
2.9096
1
2.9118
1
2.9001
1
2.8965
1
2.9079
1
2.8988
1
2.8968
1
2.9065
1
2.8997
1
wB97X-D 2.7473
1
2.9196
1
2.9080
1
2.9081
1
2.8937
1
2.8937
1
2.8891
1
2.8856
1
2.8856
1
2.8808
1
2.8841
1
2.8865
1
2.8954
1
2.8853
1
2.8821
1
2.8881
1
2.8835
1
2.8824
1
2.8873
1
2.8840
1
B97D3 2.7605
1
3.1887
1
3.1796
1
3.1863
1
3.1767
1
3.1767
1
3.1761
1
3.1764
1
3.1764
1
3.1703
1
3.1719
1
3.1783
1
3.1767
1
3.1709
1
3.1680
1
3.1742
1
3.1701
1
3.1681
1
3.1735
1
3.1698
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-pVDZ daug-cc-pVTZ
Moller Plesset perturbation MP2 2.7561
1
2.9688
1
2.9189
1
2.9682
1
2.8869
1
2.8869
1
2.8832
1
2.8766
1
2.8766
1
2.8951
1
2.8906
1
2.8958
1
2.9184
1
2.8920
1
2.8822
1
2.9147
1
2.8899
1
2.8825
1
2.9144
1
2.8900
1
MP2=FULL 2.7498
1
2.9673
1
2.9169
1
2.9655
1
2.8752
1
2.8752
1
2.8736
1
2.8710
1
2.8710
1
2.8594
1
2.8775
1
2.8937
1
2.9083
1
2.8656
1
2.8197
1
2.9000
1
2.8510
1
2.8047
1
2.8984
1
2.8515
1
MP3         2.8733
1
  2.8702
1
      2.8804
1
2.8852
1
2.9128
1
2.8822
1
        2.9092
1
2.8802
1
MP3=FULL   2.9785
1
2.9109
1
2.9807
1
2.8623
1
2.8623
1
2.8613
1
2.8561
1
2.8561
1
2.8522
1
2.8686
1
2.8845
1
2.9031
1
2.8566
1
  2.8952
1
2.8414
1
  2.8935
1
2.8418
1
MP4   2.9843
1
    2.8701
1
      2.8555
1
  2.8786
1
2.8847
1
2.9121
1
2.8805
1
  2.9088
1
2.8786
1
  2.9086
1
2.8787
1
MP4=FULL   2.9830
1
    2.8582
1
      2.8516
1
  2.8667
1
  2.9020
1
2.8545
1
  2.8940
1
2.8388
1
  2.8923
1
2.8395
1
B2PLYP 2.7372
1
2.9246
1
2.9016
1
2.9276
1
2.8886
1
2.8886
1
2.8848
1
2.8786
1
2.8786
1
2.8842
1
2.8820
1
2.8889
1
2.8977
1
2.8831
1
  2.8927
1
2.8816
1
  2.8916
1
2.8818
1
B2PLYP=FULL 2.7350
1
2.9241
1
2.9008
1
2.9267
1
2.8846
1
2.8846
1
2.8815
1
2.8766
1
2.8766
1
2.8722
1
2.8776
1
2.8881
1
2.8942
1
2.8747
1
  2.8877
1
2.8693
1
  2.8862
1
2.8696
1
B2PLYP=FULLultrafine 2.7350
1
2.9241
1
2.9008
1
2.9267
1
2.8846
1
2.8846
1
2.8815
1
2.8766
1
2.8766
1
2.8722
1
2.8776
1
2.8881
1
2.8942
1
2.8747
1
  2.8877
1
2.8693
1
  2.8862
1
2.8696
1
Configuration interaction CID   2.9755
1
2.9029
1
2.9816
1
2.8640
1
    2.8509
1
    2.8694
1
  2.9016
1
2.8713
1
        2.8970
1
2.8692
1
CISD   2.9710
1
2.9068
1
2.9793
1
2.8684
1
    2.8547
1
    2.8723
1
  2.9040
1
2.8742
1
        2.8991
1
2.8719
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-pVDZ daug-cc-pVTZ
Quadratic configuration interaction QCISD   2.9774
1
2.9063
1
2.9883
1
2.8648
1
2.8648
1
2.8620
1
2.8493
1
2.8493
1
2.8765
1
2.8671
1
2.8789
1
2.9006
1
2.8691
1
  2.8965
1
2.8665
1
  2.8961
1
2.8665
1
QCISD(T)         2.8641
1
    2.8474
1
    2.8660
1
2.8802
1
2.9013
1
2.8677
1
  2.8975
1
2.8651
1
  2.8973
1
2.8651
1
QCISD(T)=FULL         2.8524
1
  2.8517
1
      2.8539
1
  2.8907
1
2.8409
1
2.7936
1
2.8819
1
2.8247
1
2.7790
1
2.8801
1
2.8251
1
Coupled Cluster CCD   2.9827
1
2.9001
1
2.9903
1
2.8582
1
2.8582
1
2.8559
1
2.8440
1
2.8440
1
2.8735
1
2.8639
1
2.8711
1
2.8976
1
2.8659
1
  2.8939
1
2.8635
1
  2.8935
1
2.8636
1
CCSD         2.8650
1
2.8650
1
2.8623
1
2.8495
1
2.8495
1
2.8758
1
2.8664
1
2.8780
1
2.8999
1
2.8683
1
2.8603
1
2.8958
1
2.8657
1
2.8605
1
2.8955
1
2.8658
1
CCSD=FULL         2.8540
1
        2.8400
1
2.8566
1
2.8777
1
2.8903
1
2.8440
1
2.7984
1
2.8813
1
2.8278
1
2.7836
1
2.8797
1
2.8283
1
CCSD(T)         2.8642
1
2.8642
1
2.8620
1
2.8474
1
2.8474
1
2.8755
1
2.8655
1
2.8795
1
2.9008
1
2.8672
1
2.8589
1
2.8971
1
2.8646
1
2.8592
1
2.8969
1
2.8646
1
CCSD(T)=FULL         2.8525
1
          2.8535
1
2.8789
1
2.8903
1
2.8406
1
2.7933
1
2.8815
1
2.8244
1
2.7787
1
2.8797
1
2.8248
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-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 2.9268
1
2.9196
1
2.9475
1
2.9286
1
2.9560
1
2.9805
1
    2.9329
1
density functional BLYP                 2.9168
1
B1B95                 2.8954
1
B3LYP 2.9285
1
2.9134
1
2.9345
1
2.9150
1
2.9271
1
2.9351
1
    2.8933
1
B3LYPultrafine                 2.8933
1
B3PW91                 2.9044
1
mPW1PW91                 2.9012
1
M06-2X                 2.8697
1
PBEPBE                 2.9159
1
PBEPBEultrafine                 2.9159
1
PBE1PBE                 2.8996
1
HSEh1PBE                 2.9020
1
TPSSh                 2.9105
1
wB97X-D 2.8971
1
2.8884
1
2.9063
1
2.8914
1
2.9251
1
2.9361
1
    2.8902
1
B97D3                 3.1760
1
Moller Plesset perturbation MP2 2.9658
1
2.8979
1
2.9586
1
2.8896
1
2.9669
1
2.9911
1
    2.9012
1
MP2=FULL                 2.8896
1
MP3                 2.8921
1
MP3=FULL                 2.8822
1
MP4                 2.8913
1
MP4=FULL                 2.8819
1
B2PLYP                 2.8902
1
B2PLYP=FULL                 2.8864
1
B2PLYP=FULLultrafine                 2.8864
1
Configuration interaction CID                 2.8816
1
CISD                 2.8857
1
Quadratic configuration interaction QCISD                 2.8817
1
QCISD(T)                 2.8812
1
QCISD(T)=FULL                 2.8730
1
Coupled Cluster CCD                 2.8767
1
CCSD                 2.8808
1
CCSD=FULL                 2.8737
1
CCSD(T)                 2.8807
1
CCSD(T)=FULL                 2.8725
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.