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Comparison of levels of theory for Br-K


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 2.9960
1
composite G3B3 2.8386
1
G4 2.8384
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
hartree fock HF   2.9977
1
2.8809
1
2.9666
1
2.8941
1
2.8947
1
2.9302
1
2.9120
1
2.9120
1
2.8920
1
2.9130
1
2.9918
1
 
density functional LSDA 2.7363
1
2.9006
1
2.7667
1
2.8698
1
2.7827
1
2.7827
1
2.8151
1
2.7573
1
2.7573
1
2.7593
1
     
BLYP   2.9883
1
2.8515
1
2.9513
1
2.8718
1
2.8684
1
2.9072
1
2.8572
1
2.8572
1
2.8483
1
     
B1B95         2.8376
1
               
B3LYP   2.9674
1
2.8388
1
2.9332
1
2.8526
1
2.8526
1
2.8891
1
2.8475
1
2.8475
1
2.8363
1
  2.9618
1
 
B3LYPultrafine         2.8525
1
               
B3PW91   2.9629
1
2.8354
1
2.9268
1
2.8439
1
2.8439
1
2.8769
1
2.8345
1
2.8345
1
2.8272
1
     
mPW1PW91   2.9545
1
2.8294
1
  2.8390
1
2.8390
1
2.8725
1
2.8307
1
2.8307
1
2.8230
1
     
M06-2X     2.8277
1
  2.8343
1
          2.8422
1
   
PBEPBE   2.9664
1
2.8330
1
2.9309
1
2.8459
1
2.8459
1
2.8811
1
2.8287
1
2.8287
1
2.8261
1
     
PBEPBEultrafine         2.8461
1
               
PBE1PBE         2.8363
1
               
HSEh1PBE         2.8371
1
  2.8705
1
           
TPSSh         2.8483
1
  2.8814
1
    2.8293
1
     
wB97X-D     2.8472
1
  2.8526
1
  2.8894
1
  2.8517
1
    2.9550
1
2.8894
1
B97D3   2.9730
1
    2.8723
1
  2.9062
1
  2.8574
1
  2.8574
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
Moller Plesset perturbation MP2   3.0156
1
2.9076
1
2.9794
1
2.8745
1
2.8682
1
2.9056
1
2.8546
1
2.8532
1
2.8363
1
  3.0127
1
 
MP2=FULL   3.0112
1
2.8752
1
2.9793
1
2.8712
1
2.8651
1
2.9027
1
2.8472
1
         
MP3         2.8699
1
  2.8765
1
           
MP3=FULL         2.8735
1
  2.9097
1
           
MP4   3.0205
1
    2.8685
1
               
B2PLYP         2.8539
1
               
B2PLYP=FULLultrafine         2.8529
1
               
Configuration interaction CID   3.0168
1
2.9066
1
2.9797
1
2.8718
1
    2.8685
1
         
CISD   3.0184
1
2.9068
1
2.9808
1
2.8713
1
    2.8684
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
Quadratic configuration interaction QCISD   3.0202
1
2.9097
1
2.9822
1
2.8697
1
2.8697
1
2.9069
1
2.8636
1
         
QCISD(T)         2.8687
1
               
Coupled Cluster CCD   3.0177
1
2.9090
1
2.9806
1
2.8768
1
2.8702
1
2.9072
1
2.8633
1
         
CCSD         2.8698
1
               
CCSD(T)         2.8683
1
               
CCSD(T)=FULL         2.8653
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

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 3.0739
1
  3.0739
1
  3.0146
1
3.0306
1
    2.9205
1
density functional B1B95 3.0529
1
               
B3LYP 3.0694
1
  3.0694
1
  2.9821
1
2.9984
1
    2.8687
1
PBEPBE                 2.8537
1
Moller Plesset perturbation MP2 3.0909
1
  3.0909
1
  3.0167
1
3.0384
1
    2.9788
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.