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Comparison of levels of theory for Al-B


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 1.6638
1
PM3 2.4471
1
PM6 1.9865
1
composite G2 2.0400
1
G3 2.0400
1
G3B3 2.0349
1
G4 2.0302
1
CBS-Q 2.0444
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 cc-pV(T+d)Z aug-cc-pV(T+d)Z daug-cc-pVTZ
hartree fock HF 1.8802
1
2.1075
1
2.0368
1
2.1071
1
2.0458
1
2.0458
1
2.0513
1
2.0565
1
2.0565
1
2.0553
1
  2.0521
1
2.0742
1
2.0708
1
2.0676
1
2.0840
1
2.0719
1
2.0677
1
2.0669
1
2.0680
1
2.0720
1
ROHF   2.1411
1
2.0751
1
2.1307
1
2.0673
1
2.0673
1
2.0818
1
2.0778
1
2.0778
1
    2.0848
1
2.0974
1
2.0878
1
2.0829
1
2.1025
1
2.0886
1
2.0830
1
2.0837
1
2.0846
1
 
density functional LSDA 1.8770
1
2.0243
1
2.0243
1
2.0629
1
2.0247
1
2.0247
1
2.0297
1
2.0241
1
2.0241
1
2.0174
1
  2.0267
1
2.0395
1
2.0252
1
  2.0405
1
2.0245
1
  2.0207
1
2.0201
1
 
BLYP 1.9069
1
2.1021
1
2.0584
1
2.1033
1
2.0625
1
2.0625
1
2.0690
1
2.0639
1
2.0639
1
2.0549
1
  2.0662
1
2.0759
1
2.0631
1
  2.0773
1
2.0629
1
  2.0588
1
2.0586
1
 
B1B95 1.8756
1
  2.0330
1
2.0760
1
2.0334
1
2.0334
1
  2.0357
1
2.0357
1
2.0309
1
  2.0394
1
2.0511
1
2.0409
1
  2.0531
1
2.0410
1
  2.0371
1
2.0373
1
 
B3LYP 1.8914
1
2.0908
1
2.0429
1
2.0891
1
2.0460
1
2.0460
1
2.0530
1
2.0487
1
2.0487
1
2.0400
1
  2.0516
1
2.0621
1
2.0500
1
2.0448
1
2.0639
1
2.0499
1
2.0449
1
2.0455
1
2.0455
1
 
B3LYPultrafine   2.0911
1
    2.0459
1
2.0459
1
2.0529
1
2.0486
1
      2.0514
1
2.0621
1
2.0498
1
  2.0638
1
2.0497
1
  2.0453
1
2.0453
1
 
B3PW91 1.8807
1
2.0719
1
2.0275
1
2.0678
1
2.0291
1
2.0291
1
2.0344
1
2.0308
1
2.0308
1
2.0248
1
  2.0339
1
2.0446
1
2.0332
1
  2.0465
1
2.0332
1
  2.0288
1
2.0289
1
 
mPW1PW91 1.8758
1
2.0648
1
2.0210
1
2.0596
1
2.0218
1
2.0218
1
2.0271
1
2.0237
1
2.0237
1
2.0177
1
  2.0269
1
2.0370
1
2.0263
1
  2.0391
1
2.0265
1
  2.0220
1
2.0222
1
 
M06-2X 1.8739
1
2.0865
1
2.0336
1
2.0833
1
2.0361
1
2.0361
1
2.0440
1
2.0417
1
2.0417
1
2.0334
1
2.0421
1
2.0445
1
2.0587
1
2.0483
1
  2.0616
1
2.0479
1
  2.0447
1
2.0444
1
 
PBEPBE 1.8916
1
2.0869
1
2.0438
1
2.0846
1
2.0459
1
2.0459
1
2.0507
1
2.0464
1
2.0464
1
2.0406
1
  2.0491
1
2.0585
1
2.0475
1
  2.0601
1
2.0476
1
  2.0434
1
2.0435
1
 
PBEPBEultrafine   2.0872
1
    2.0458
1
2.0458
1
2.0506
1
2.0463
1
      2.0490
1
2.0584
1
2.0473
1
  2.0600
1
2.0474
1
  2.0433
1
2.0434
1
 
PBE1PBE 1.8743
1
  2.0226
1
2.0612
1
2.0228
1
2.0228
1
2.0283
1
2.0247
1
2.0247
1
2.0191
1
  2.0282
1
2.0382
1
2.0279
1
  2.0402
1
2.0281
1
  2.0236
1
2.0239
1
 
HSEh1PBE 1.8759
1
2.0688
1
2.0236
1
2.0635
1
2.0246
1
2.0246
1
2.0300
1
2.0265
1
2.0265
1
2.0204
1
  2.0298
1
2.0401
1
2.0292
1
  2.0420
1
2.0294
1
  2.0248
1
2.0250
1
 
TPSSh   2.0730
1
2.0293
1
2.0668
1
2.0289
1
2.0289
1
2.0337
1
2.0298
1
      2.0333
1
2.0431
1
2.0319
1
  2.0448
1
2.0321
1
  2.0279
1
2.0281
1
 
wB97X-D 1.8713
1
2.0615
1
2.0188
1
2.0533
1
2.0173
1
2.0173
1
2.0239
1
2.0211
1
2.0211
1
2.0166
1
  2.0225
1
2.0361
1
2.0252
1
2.0204
1
2.0381
1
2.0254
1
2.0205
1
2.0208
1
2.0211
1
 
B97D3                     2.0511
1
                  2.0534
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 cc-pV(T+d)Z aug-cc-pV(T+d)Z daug-cc-pVTZ
Moller Plesset perturbation MP2 1.8682
1
2.0691
1
2.0048
1
2.0726
1
2.0000
1
2.0000
1
1.9991
1
2.0034
1
2.0034
1
1.9985
1
  1.9966
1
2.0185
1
2.0057
1
2.0012
1
2.0274
1
2.0071
1
2.0016
1
2.0028
1
2.0037
1
 
MP2=FULL 1.8679
1
2.0686
1
2.0021
1
2.0719
1
1.9964
1
1.9964
1
1.9961
1
2.0000
1
2.0000
1
1.9905
1
  1.9954
1
2.0171
1
1.9953
1
1.9664
1
2.0251
1
1.9921
1
1.9584
1
1.9897
1
1.9864
1
 
ROMP2 1.8770
1
  2.0427
1
2.1137
1
2.0370
1
2.0370
1
2.0446
1
2.0451
1
2.0451
1
2.0367
1
  2.0491
1
2.0687
1
2.0506
1
  2.0755
1
    2.0469
1
2.0481
1
 
MP3         1.9987
1
  1.9973
1
        1.9954
1
2.0196
1
2.0079
1
        2.0045
1
2.0064
1
 
MP3=FULL   2.0678
1
1.9967
1
2.0738
1
1.9962
1
1.9962
1
1.9948
1
2.0017
1
2.0017
1
1.9937
1
  1.9948
1
2.0186
1
1.9978
1
  2.0281
1
1.9955
1
  1.9930
1
1.9903
1
 
MP4   2.0663
1
    2.0012
1
      2.0045
1
    1.9966
1
2.0210
1
2.0085
1
  2.0315
1
2.0105
1
  2.0058
1
2.0076
1
 
MP4=FULL   2.0659
1
    1.9977
1
      2.0027
1
      2.0200
1
1.9986
1
  2.0295
1
1.9962
1
  1.9936
1
1.9903
1
 
B2PLYP 1.8847
1
2.1004
1
2.0440
1
2.0974
1
2.0465
1
2.0465
1
2.0543
1
2.0527
1
2.0527
1
2.0456
1
  2.0556
1
2.0712
1
2.0578
1
  2.0751
1
2.0586
1
  2.0535
1
2.0543
1
 
B2PLYP=FULL 1.8846
1
2.1004
1
2.0436
1
2.0974
1
2.0455
1
2.0455
1
2.0533
1
2.0522
1
2.0522
1
2.0426
1
  2.0556
1
2.0706
1
2.0535
1
  2.0741
1
2.0522
1
  2.0492
1
2.0479
1
 
B2PLYP=FULLultrafine 1.8846
1
2.1007
1
2.0436
1
2.0975
1
2.0454
1
2.0454
1
2.0532
1
2.0521
1
2.0521
1
2.0425
1
  2.0555
1
2.0706
1
2.0534
1
  2.0741
1
2.0521
1
  2.0491
1
2.0478
1
 
Configuration interaction CID   2.0730
1
2.0029
1
2.0784
1
2.0049
1
    2.0103
1
                    2.0133
1
2.0151
1
 
CISD   2.0768
1
2.0106
1
2.0801
1
2.0145
1
    2.0208
1
                    2.0242
1
2.0257
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 cc-pV(T+d)Z aug-cc-pV(T+d)Z daug-cc-pVTZ
Quadratic configuration interaction QCISD   2.0860
1
2.0223
1
2.0882
1
2.0223
1
2.0223
1
2.0249
1
2.0295
1
2.0295
1
2.0282
1
  2.0249
1
2.0523
1
2.0379
1
  2.0626
1
2.0394
1
  2.0345
1
2.0360
1
 
QCISD(T)         2.0347
1
    2.0412
1
      2.0416
1
2.0836
1
2.0595
1
  2.0743
1
2.0493
1
  2.0438
1
2.0452
1
 
QCISD(T)=FULL         2.0310
1
  2.0363
1
          2.0823
1
2.0330
1
1.9926
1
2.0714
1
2.0276
1
1.9826
1
2.0265
1
2.0212
1
 
QCISD(TQ)         2.0416
1
  2.0502
1
          2.0854
1
2.0608
1
2.0458
1
2.0873
1
2.0574
1
2.0464
1
     
QCISD(TQ)=FULL         2.0377
1
  2.0461
1
          2.0836
1
2.0399
1
1.9973
1
2.0845
1
2.0339
1
1.9864
1
     
Coupled Cluster CCD   2.0742
1
2.0026
1
2.0801
1
2.0043
1
2.0043
1
2.0031
1
2.0092
1
2.0092
1
2.0082
1
  2.0020
1
2.0272
1
2.0152
1
  2.0381
1
2.0170
1
  2.0118
1
2.0136
1
 
CCSD         2.0277
1
        2.0327
1
  2.0313
1
2.0586
1
2.0435
1
2.0370
1
2.0693
1
2.0450
1
2.0374
1
2.0401
1
2.0416
1
 
CCSD=FULL         2.0245
1
        2.0232
1
  2.0305
1
2.0573
1
2.0308
1
1.9938
1
2.0667
1
2.0262
1
1.9842
1
2.0248
1
2.0201
1
 
CCSD(T)         2.0352
1
2.0352
1
  2.0424
1
      2.0428
1
2.0843
1
2.0601
1
2.0395
1
2.0908
1
2.0498
1
2.0401
1
2.0444
1
2.0459
1
 
CCSD(T)=FULL         2.0315
1
            2.0421
1
2.0826
1
2.0337
1
1.9930
1
2.0729
1
2.0288
1
1.9829
1
2.0270
1
2.0217
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 cc-pV(T+d)Z aug-cc-pV(T+d)Z 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 2.1237
1
2.0565
1
2.1189
1
2.0571
1
2.1151
1
2.0395
1
    2.0532
1
density functional B3LYP 2.1139
1
2.0766
1
2.1122
1
2.0709
1
2.0951
1
2.0882
1
    2.0333
1
PBEPBE                 2.0338
1
wB97X-D 2.1050
1
2.0692
1
2.1012
1
2.0623
1
2.0733
1
2.0567
1
     
Moller Plesset perturbation MP2 2.0858
1
2.0065
1
2.0747
1
2.0013
1
2.0821
1
2.0686
1
    2.0019
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.