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Comparison of levels of theory for Ca-Br


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 2.6972
3
PM6 2.5794
3
composite G2 2.6885
3
G3 2.6722
3
G3B3 2.6148
3
G4 2.6130
3
CBS-Q 2.6856
3

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
hartree fock HF 2.6996
3
2.8282
3
2.6684
3
2.7859
3
2.6884
3
2.6885
3
2.7075
3
2.6694
3
2.6694
3
2.6778
3
2.6696
3
2.7691
3
2.6755
3
2.6698
3
2.6709
1
ROHF   2.8517
1
2.7123
1
2.8249
1
2.7151
1
2.7151
1
2.7337
1
2.6808
1
2.6808
1
  2.6754
1
2.8009
1
2.6840
1
2.6741
1
2.6709
1
density functional BLYP 2.7180
3
2.8463
3
2.6611
3
2.7936
3
2.6879
3
2.6879
3
2.7107
3
2.6246
3
2.6246
3
2.6624
3
2.6248
3
2.7893
3
2.6216
3
2.6233
3
 
B1B95 2.6938
3
2.6363
3
2.6363
3
2.7636
3
2.6572
3
2.6572
3
2.6631
2
2.6022
3
2.6022
3
2.6376
3
2.6023
3
2.7486
3
2.6049
3
2.6019
3
 
B3LYP 2.7038
3
2.8262
3
2.6478
3
2.7765
3
2.6723
3
2.6723
3
2.6934
3
2.6183
3
2.6183
3
2.6502
3
2.6177
3
2.7674
3
2.6166
3
2.6170
3
2.6022
1
B3LYPultrafine   2.8261
3
    2.6723
3
2.6723
3
2.6934
3
2.6184
3
  2.6502
3
2.6177
3
2.7674
3
2.6167
3
2.6171
3
 
B3PW91 2.6991
3
2.8197
3
2.6417
3
2.7705
3
2.6634
3
2.6634
3
2.6816
3
2.6054
3
2.6054
3
2.6419
3
2.6043
3
2.7549
3
2.6076
3
2.6037
3
 
mPW1PW91 2.6946
3
2.8141
3
2.6385
3
2.7663
3
2.6596
3
2.6596
3
2.6779
3
2.6036
3
2.6036
3
2.6390
3
2.6027
3
2.7490
3
2.6063
3
2.6022
3
 
M06-2X 2.6811
3
2.8033
3
2.6388
3
2.7551
3
2.6607
3
2.6607
3
2.6778
3
2.6232
3
2.6232
3
2.6478
3
2.6248
3
2.7449
3
2.6264
3
2.6260
3
 
PBEPBE 2.7062
3
2.8314
3
2.6471
3
2.7799
3
2.6703
3
2.6703
3
2.6906
3
2.6027
3
2.6027
3
2.6461
3
2.6024
3
2.7679
3
2.6047
3
2.6013
3
 
PBEPBEultrafine   2.8315
3
    2.6703
3
2.6703
3
2.6905
3
2.6029
3
  2.6462
3
2.6024
3
2.7678
3
2.6048
3
2.6014
3
 
PBE1PBE 2.6934
3
2.6374
3
2.6374
3
2.7655
3
2.6584
3
2.6584
3
2.6768
3
2.6026
3
2.6026
3
2.6380
3
2.6017
3
2.7482
3
2.6057
3
2.6014
3
 
HSEh1PBE 2.6939
3
2.8152
3
2.6392
3
2.7672
3
2.6600
3
2.6600
3
2.6784
3
2.6044
3
2.6044
3
2.6392
3
2.6035
3
2.7513
3
2.6069
3
2.6032
3
 
TPSSh 2.7001
3
2.8221
3
2.6465
3
2.7740
3
2.6666
3
2.6666
3
2.6846
3
2.6060
3
2.6060
3
2.6455
3
2.6055
3
2.7567
3
2.6096
3
2.6047
3
2.5867
1
wB97X-D 2.6961
3
2.8116
3
2.6421
3
2.7646
3
2.6612
3
2.6612
3
2.6808
3
2.6147
3
2.6147
3
2.6435
3
2.6142
3
2.7501
3
2.6171
3
2.6137
3
2.5998
1
B97D3 2.7191
3
2.8464
3
2.6579
3
2.7934
3
2.6884
3
2.6884
3
2.6895
2
2.6210
2
2.6201
3
2.6628
3
2.6145
3
2.7883
3
2.6133
3
2.6126
3
2.5908
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
Moller Plesset perturbation MP2 2.7072
3
2.8456
3
2.6751
3
2.8020
3
2.6850
3
2.6850
3
2.7036
3
2.6327
3
2.6327
3
2.6625
3
2.6315
3
2.7734
3
2.6752
3
2.6645
3
2.6619
1
MP2=FULL 2.7090
3
2.8464
3
2.6687
3
2.8017
3
2.6813
3
2.6813
3
2.6998
3
2.6279
3
2.6279
3
2.6547
3
2.6232
3
2.7685
3
2.6444
3
2.6244
3
2.6030
1
MP3         2.6858
3
  2.7042
3
      2.6414
3
2.7731
3
2.6758
3
2.6665
3
 
MP3=FULL   2.8470
3
2.6685
3
2.8024
3
2.6823
3
2.6823
3
2.7006
3
2.6358
3
2.6358
3
2.6592
3
2.6356
3
2.7689
3
2.6477
3
2.6348
3
 
MP4   2.8406
2
    2.6730
2
      2.6341
2
  2.6383
2
2.7621
2
2.6756
2
2.6674
2
 
MP4=FULL   2.8415
2
    2.6690
2
          2.6314
2
  2.6474
2
2.6331
2
 
B2PLYP 2.7022
3
2.8288
3
2.6545
3
2.7816
3
2.6737
3
2.6737
3
2.6936
3
2.6235
3
2.6235
3
2.6530
3
2.6231
3
2.7648
3
2.6365
3
2.6337
3
 
B2PLYP=FULL 2.7029
3
2.8291
3
2.6525
3
2.7815
3
2.6721
3
2.6721
3
2.6924
3
2.6221
3
2.6221
3
2.6504
3
2.6207
3
2.7633
3
2.6264
3
2.6211
3
 
B2PLYP=FULLultrafine 2.7028
3
2.8291
3
2.6525
3
2.7816
3
2.6721
3
2.6721
3
2.6923
3
2.6222
3
2.6222
3
2.6505
3
2.6207
3
2.7633
3
2.6265
3
2.6212
3
 
Configuration interaction CID   2.8451
3
2.6725
3
2.8017
3
2.6851
3
    2.6436
3
    2.6419
3
  2.6747
3
2.6641
3
 
CISD   2.8471
3
2.6728
3
2.8031
3
2.6851
3
    2.6436
3
    2.6416
3
  2.6748
3
2.6640
3
 
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
Quadratic configuration interaction QCISD   2.8506
3
2.6754
3
2.8060
3
2.6864
3
2.6864
3
2.7048
3
2.6413
3
2.6413
3
2.6669
3
2.6422
3
2.7745
3
2.6770
3
2.6669
3
 
QCISD(T)         2.6735
2
    2.6355
2
    2.6398
2
2.7627
2
2.6762
2
2.6677
2
 
QCISD(T)=FULL         2.6695
2
  2.6883
2
      2.6339
2
  2.6484
2
2.6344
2
 
Coupled Cluster CCD   2.8470
3
2.6745
3
2.8035
3
2.6859
3
2.6859
3
2.7042
3
2.6407
3
2.6407
3
2.6658
3
2.6424
3
2.7735
3
2.6762
3
2.6668
3
 
CCSD         2.6863
3
2.6863
3
2.7046
3
2.6411
3
2.6411
3
2.6664
3
2.6422
3
2.7744
3
2.6767
3
2.6668
3
2.6622
1
CCSD=FULL         2.6827
3
        2.6595
3
2.6359
3
2.7702
3
2.6491
3
2.6356
3
2.6160
1
CCSD(T)         2.6734
2
2.6734
2
2.6918
2
2.6354
2
2.6354
2
2.6600
2
2.6397
2
2.7627
2
2.6760
2
2.6676
2
 
CCSD(T)=FULL         2.6694
2
          2.6338
2
2.7580
2
2.6482
2
2.6343
2
 
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

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 2.7894
3
  2.7894
3
  2.8371
3
2.7063
3
2.6622
2
  2.6702
3
ROHF                 2.6763
1
density functional LSDA             2.5633
2
   
BLYP             2.6309
2
  2.6283
3
B1B95             2.6070
2
  2.6055
3
B3LYP 2.7972
3
  2.7972
3
  2.8302
3
2.6519
3
2.6214
2
  2.6212
3
B3LYPultrafine             2.6214
2
  2.6212
3
B3PW91             2.6092
2
  2.6082
3
mPW1PW91             2.6070
2
  2.6063
3
M06-2X             2.6274
2
  2.6287
3
PBEPBE             2.6104
2
  2.6064
3
PBEPBEultrafine             2.6104
2
  2.6064
3
PBE1PBE             2.6062
2
  2.6053
3
HSEh1PBE             2.6083
2
  2.6072
3
TPSSh             2.6112
2
  2.6091
3
wB97X-D 2.7909
3
  2.7909
3
  2.8176
3
2.6526
3
2.6169
2
  2.6178
3
B97D3             2.6221
2
  2.6271
2
Moller Plesset perturbation MP2 2.8140
3
  2.8140
3
  2.8445
3
2.6990
3
2.6600
2
  2.6670
3
MP2=FULL             2.6216
2
  2.6301
3
MP3             2.6618
2
  2.6688
3
MP3=FULL             2.6311
2
  2.6398
3
MP4             2.6635
2
  2.6681
2
MP4=FULL             2.6305
2
   
B2PLYP             2.6338
2
  2.6371
3
B2PLYP=FULL             2.6219
2
  2.6255
3
B2PLYP=FULLultrafine             2.6219
2
  2.6255
3
Configuration interaction CID             2.6583
2
  2.6653
3
CISD             2.6582
2
  2.6653
3
Quadratic configuration interaction QCISD             2.6625
2
  2.6691
3
QCISD(T)             2.6638
2
  2.6684
2
QCISD(T)=FULL             2.6317
2
  2.6374
2
Coupled Cluster CCD             2.6621
2
  2.6688
3
CCSD             2.6623
2
  2.6690
3
CCSD=FULL             2.6322
2
  2.6406
3
CCSD(T)             2.6637
2
  2.6683
2
CCSD(T)=FULL             2.6315
2
  2.6373
2
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.