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III.G.1.a.

Comparison of levels of theory for Br-O


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 PM3 1.8260
1
PM6 1.8109
8
composite G2 1.7603
8
G3 1.7499
7
G3B3 1.7995
7
CBS-Q 1.7544
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
hartree fock HF 1.8397
8
1.9550
8
1.7884
8
1.9764
8
1.7627
8
1.7601
8
1.7540
8
1.7548
8
1.7550
8
1.7178
8
1.7808
1
1.7517
9
1.7659
8
1.7301
8
1.7271
8
1.7574
8
1.7301
8
1.7269
8
ROHF   1.9706
7
1.7832
7
1.9911
7
1.7533
7
1.7533
7
1.7472
7
1.7475
7
1.7475
7
      1.7589
7
1.7228
7
1.7198
7
1.7507
7
1.7228
7
1.7196
7
density functional LSDA 1.8785
7
1.8145
7
1.8089
7
1.8836
7
1.7987
7
1.7984
7
1.7942
7
1.7999
7
1.8002
7
1.7522
7
    1.8047
7
1.7738
7
  1.7985
7
1.7661
6
 
SVWN   1.8948
1
    1.8415
1
  1.8371
1
                     
BLYP 1.9115
7
1.8980
8
1.8543
8
1.9337
8
1.8445
8
1.8443
8
1.8400
8
1.8488
8
1.8490
8
1.7953
8
    1.8512
8
1.8206
8
       
B1B95 1.8687
7
1.7968
7
1.7968
7
1.8692
7
1.7781
7
1.7781
7
1.7808
8
1.7780
7
1.7780
7
1.7348
7
    1.7843
7
1.7521
7
  1.7765
7
1.7518
7
 
B3LYP 1.8858
8
1.8578
7
1.8251
8
1.8985
8
1.8107
8
1.8104
8
1.8053
8
1.8115
8
1.8117
8
1.7643
8
  1.8077
9
1.8164
8
1.7849
8
1.7815
8
1.8084
8
1.7842
8
1.7812
8
B3LYPultrafine         1.8022
7
                         
B3PW91 1.8789
8
1.8540
8
1.8137
8
1.8855
8
1.7969
8
1.7967
8
1.7911
8
1.7974
8
1.7976
8
1.7523
8
    1.8028
8
1.7709
8
       
mPW1PW91 1.8727
8
1.8471
8
1.8074
8
1.8782
8
1.7896
8
1.7894
8
1.7838
8
1.7896
8
1.7898
8
1.7458
8
    1.7953
8
1.7634
8
  1.7797
7
1.7550
7
 
M06-2X         1.8353
1
                         
PBEPBE 1.8981
8
1.8792
8
1.8347
8
1.9128
8
1.8221
8
1.8218
8
1.8171
8
1.8254
8
1.8255
8
1.7751
8
1.8573
1
  1.8287
8
1.7976
8
  1.8123
7
1.7970
8
 
PBEPBEultrafine         1.8765
1
                         
HSEh1PBE         1.8467
1
                         
Moller Plesset perturbation MP2FC 1.8776
8
1.8716
8
1.8345
8
1.9050
8
1.8119
8
1.8116
8
1.8073
8
1.8025
8
1.8028
8
1.7567
8
  1.8000
9
1.8127
8
1.7445
6
  1.8053
8
1.7432
6
 
MP2FU 1.8776
8
1.8712
8
1.8340
8
1.9034
8
1.8088
8
1.8085
8
1.8039
8
1.8023
8
1.8026
8
1.7446
8
    1.8113
8
1.7408
6
  1.8027
8
1.7195
5
 
ROMP2 1.8538
3
1.7393
3
1.7393
3
1.8133
3
1.7053
3
1.7053
3
1.7031
3
1.6929
3
1.6929
3
1.6557
3
    1.7075
3
1.6658
3
  1.7054
3
   
MP3         1.8037
8
                         
MP4 1.9059
1
1.8877
8
    1.8268
8
      1.7541
4
        1.7443
5
       
B2PLYP         1.8668
1
  1.8623
1
                     
Configuration interaction CID   1.8531
8
1.8038
7
1.8729
7
1.7874
8
    1.7674
7
                   
CISD   1.8623
8
1.8080
7
1.8867
7
1.7901
8
    1.7704
7
                   
Quadratic configuration interaction QCISD 1.9111
1
1.9019
8
1.8411
7
1.9610
6
1.8170
8
1.8167
8
1.8116
8
1.8079
8
1.8081
8
1.7567
8
    1.8195
8
1.7671
8
  1.7993
7
1.7571
7
 
QCISD(T)         1.8308
8
      1.8795
1
1.8230
1
    1.8274
7
1.7728
7
       
Coupled Cluster CCD 1.9094
1
1.8698
8
1.8212
7
1.8992
8
1.8051
8
1.8048
8
1.7992
8
1.7946
8
1.7949
8
1.7492
8
    1.8058
8
1.7590
8
  1.7874
7
1.7484
7
 
CCSD         1.8133
8
              1.8072
7
1.7558
7
       
CCSD(T)         1.8281
8
      1.8790
1
1.8226
1
    1.8235
7
1.7706
7
1.7525
6
1.8095
7
1.7689
7
1.7941
3
CCSD(T)=FULL         1.8166
7
              1.8216
7
1.7665
7
  1.8134
6
1.7498
6
 

average calculated bond lengths (Å)
Methods with effective core potentials (select basis sets)
CEP-31G CEP-31G* CEP-121G CEP-121G* LANL2DZ SDD
hartree fock HF 2.6927
8
  2.6029
8
  2.6832
8
2.4012
8
density functional B1B95 1.9305
1
         
B3LYP 1.9115
8
  1.9098
8
  1.9156
8
1.9038
8
Moller Plesset perturbation MP2FC 1.9154
8
  1.9124
8
  1.9205
8
1.9075
8
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.