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Comparison of levels of theory for O-Ca


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 1.8754
1
PM6 2.0306
4
composite G2 2.0501
2
G3 1.8220
1
G3B3 1.9862
4
G3MP2 1.8220
1
G4 1.9836
4

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 cc-pCVTZ
hartree fock HF 2.3095
4
2.1557
4
2.0951
4
2.1733
4
2.0994
4
2.0962
4
2.1095
4
1.9996
4
2.0000
4
2.0434
4
1.8161
1
2.1727
4
1.8316
1
1.8143
1
1.8086
1
1.8076
1
density functional LSDA 2.2164
3
2.1406
3
2.1019
3
2.1728
3
2.0870
3
2.0870
3
2.1023
3
1.9467
3
1.9467
3
2.0237
3
          1.7758
1
BLYP 2.2125
4
2.1722
4
2.1241
4
2.1959
4
2.1375
4
2.1220
4
2.1435
4
1.9900
4
1.9903
4
2.0646
4
1.8353
1
2.1470
1
1.8469
1
1.8333
1
  1.8288
1
B1B95 2.2215
3
2.0388
1
2.1100
3
2.1766
3
2.0972
3
2.0979
3
2.1159
3
1.9685
3
1.9685
3
2.0417
3
1.7957
1
2.1183
1
1.8117
1
1.7945
1
  1.7889
1
B3LYP 2.2630
5
2.1752
5
2.1027
4
2.1672
4
2.1006
4
2.1005
4
2.1227
4
1.9784
4
1.9789
4
2.0474
4
1.8123
1
2.1800
4
1.8262
1
1.8110
1
1.8060
1
1.8056
1
B3LYPultrafine 2.2785
2
2.1751
5
    2.0330
1
2.0330
1
2.0531
1
1.8270
1
  1.9625
1
1.8123
1
2.1291
1
1.8262
1
1.8110
1
  1.8056
1
B3PW91 2.2299
6
2.1440
6
2.0955
4
2.1584
4
2.0929
4
2.0929
4
2.1134
4
1.9691
4
1.9695
4
2.0378
4
1.7962
1
2.1194
1
1.8134
1
1.7958
1
  1.7900
1
mPW1PW91 2.1853
4
2.1206
4
2.0905
4
2.1528
4
2.0889
4
2.0890
4
2.1098
4
1.9674
4
1.9678
4
2.0344
4
1.7937
1
2.1156
1
1.8108
1
1.7934
1
  1.7874
1
M06-2X 2.1573
1
2.1031
1
2.1097
6
2.1219
1
2.0896
4
2.0252
1
2.0416
1
1.8134
1
1.8134
1
1.9522
1
1.9701
4
2.1204
1
1.8149
1
1.7981
1
  1.7920
1
PBEPBE 2.2072
4
2.1562
4
2.1130
4
2.1844
4
2.1104
4
2.1104
4
2.1312
4
1.9756
4
1.9760
4
2.0512
4
1.8144
1
2.1351
1
1.8312
1
1.8133
1
  1.8078
1
PBEPBEultrafine   2.1197
1
    2.0426
1
2.0426
1
2.0599
1
1.8301
1
  1.9684
1
1.8144
1
  1.8312
1
1.8133
1
  1.8078
1
PBE1PBE 2.1368
1
2.0373
1
2.0373
1
2.1179
1
2.0898
4
2.0193
1
2.0387
1
1.8099
1
1.8099
1
1.9460
1
1.7939
1
2.1165
1
1.8122
1
1.7932
1
  1.7871
1
HSEh1PBE 2.1371
1
2.1237
4
2.0387
1
2.1191
1
2.0908
4
2.0204
1
2.1114
4
1.8133
1
1.8133
1
1.9483
1
1.7974
1
2.1180
1
1.8151
1
1.9571
4
  1.7908
1
TPSSh 2.1365
1
2.1013
1
2.0448
1
2.1238
1
2.0998
4
2.0258
1
2.1227
4
1.8235
1
1.8235
1
2.0555
4
1.8103
1
2.1209
1
1.8260
1
2.0185
4
1.8037
1
1.8041
1
wB97X-D 2.1350
1
2.0879
1
2.1113
6
2.1118
1
2.1076
6
2.0152
1
2.1296
6
1.8054
1
2.0310
6
1.9431
1
1.7938
1
2.1781
6
2.0924
6
2.0306
6
1.7890
1
1.7876
1
B97D3 2.1415
1
2.2064
6
2.0591
1
2.1441
1
2.1423
6
2.0440
1
2.1551
6
1.8258
1
2.0345
6
1.9682
1
2.0333
6
2.2438
6
1.8266
1
2.0320
6
1.8053
1
1.8048
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 cc-pCVTZ
Moller Plesset perturbation MP2 2.2436
4
2.1333
4
2.1287
4
2.1509
4
2.1162
4
2.1087
4
2.1504
4
2.0528
4
2.0115
4
2.0823
4
1.8397
1
2.2047
4
1.9370
1
1.9232
1
1.9218
1
1.9098
1
MP2=FULL 2.2326
4
2.1106
4
2.1025
4
2.1509
4
2.1084
4
2.1084
4
2.1500
4
2.0098
4
2.0108
4
2.0807
4
1.8370
1
2.0710
1
1.8868
1
1.8492
1
1.8295
1
1.8227
1
MP3         2.1738
1
  2.1391
4
      1.8028
1
2.1897
1
1.8578
1
1.8566
1
  1.8465
1
MP3=FULL   2.0397
1
2.1495
1
2.1217
1
2.1389
4
2.1736
1
2.1512
4
1.8226
1
1.8226
1
1.9152
1
1.8008
1
2.1781
1
1.8267
1
1.8069
1
  1.7887
1
MP4 2.2368
4
2.1490
4
    2.0899
4
      2.0675
4
2.0749
4
2.2290
1
2.0648
1
2.2239
1
2.2215
1
  2.2249
1
MP4=FULL   2.0052
1
    1.9574
1
      2.1182
1
  2.2287
1
  2.2270
1
2.2256
1
  2.2260
1
B2PLYP 2.0772
1
2.0715
1
2.0591
1
2.1071
1
2.1056
4
2.0481
1
2.0785
1
1.8784
1
  2.0031
1
1.8386
1
2.1264
1
1.8768
1
2.0344
4
  1.8504
1
B2PLYP=FULL 2.0748
1
2.0688
1
2.0566
1
2.1071
1
2.0478
1
2.0480
1
2.0785
1
1.8784
1
1.8784
1
2.0027
1
1.8378
1
2.1217
1
1.8651
1
1.8409
1
  1.8286
1
B2PLYP=FULLultrafine 2.0748
1
2.0685
1
2.0566
1
2.1071
1
2.1056
4
2.0480
1
2.0784
1
1.8784
1
1.8784
1
2.0027
1
1.8378
1
2.1217
1
1.9901
4
1.9809
4
  1.8286
1
Configuration interaction CID   2.1294
4
2.0954
1
2.1012
1
2.1148
4
    1.8382
1
1.9957
4
2.0402
4
1.8083
1
  1.8760
1
1.8704
1
  1.8599
1
CISD   2.1501
4
2.1042
1
2.1458
1
2.1130
4
    1.8448
1
1.9975
4
2.0424
4
1.8101
1
  1.8847
1
1.8744
1
  1.8632
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 cc-pCVTZ
Quadratic configuration interaction QCISD 2.1471
2
2.1319
2
  2.1240
2
2.0754
1
2.0748
1
2.1145
1
2.0527
3
2.0538
3
2.0230
1
  2.1910
1
       
QCISD(T)   2.2375
2
2.0810
1
2.0228
2
2.1335
3
  2.1581
3
2.0508
3
2.0519
3
2.0988
2
1.6855
1
2.2018
1
1.6957
1
1.7789
1
  1.7856
1
QCISD(T)=FULL                     1.6904
1
    1.6718
1
1.7117
1
1.6967
1
Coupled Cluster CCD 2.2714
4
2.1321
4
2.1014
1
2.1570
4
2.1262
4
2.1259
4
2.1581
4
1.9993
4
2.0002
4
2.0498
4
1.8193
1
2.1594
1
1.8866
1
1.8822
1
  1.8716
1
CCSD   2.1761
3
2.1653
3
2.1850
3
2.1235
4
2.1058
1
2.1535
3
2.0509
3
2.0520
3
2.0713
3
1.8317
1
2.1939
1
1.9005
1
1.8907
1
1.8885
1
1.8791
1
CCSD=FULL         2.1054
1
        1.9776
1
1.8289
1
2.1739
1
1.8711
1
1.8399
1
1.8178
1
1.8159
1
CCSD(T)     2.1309
4
2.1951
4
2.0945
4
1.9794
1
2.0943
4
2.0419
4
2.0426
4
2.0497
4
1.8586
1
2.1934
1
1.9683
1
1.9270
1
1.9185
1
1.9112
1
CCSD(T)=FULL         1.9795
1
          1.8554
1
2.1628
1
2.0319
1
1.8815
1
1.8405
1
1.8414
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 cc-pCVTZ

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 2.0419
4
  2.0413
4
  2.1718
4
2.0156
4
    2.0472
6
density functional BLYP                 1.8471
1
B1B95 1.9984
1
              1.8065
1
B3LYP 2.0414
4
  2.0449
4
  2.1613
4
1.9835
4
    2.0369
6
B3LYPultrafine                 1.8241
1
B3PW91                 1.8070
1
mPW1PW91                 1.8041
1
M06-2X                 1.8114
1
PBEPBE                 2.0360
6
PBEPBEultrafine                 1.8266
1
PBE1PBE                 1.8045
1
HSEh1PBE                 1.8083
1
TPSSh                 1.8203
1
wB97X-D 1.9939
1
  2.0023
1
  2.0995
1
1.8156
1
    1.8053
1
B97D3                 1.8227
1
Moller Plesset perturbation MP2 2.0549
4
  2.0563
4
  2.1588
4
2.0445
4
    2.1677
6
MP2=FULL                 1.8645
1
MP3                 1.8648
1
MP3=FULL                 1.8184
1
MP4                 2.2222
1
MP4=FULL                 2.2263
1
B2PLYP                 1.8733
1
B2PLYP=FULL                 1.8569
1
B2PLYP=FULLultrafine                 1.8569
1
Configuration interaction CID                 1.8786
1
CISD                 1.8827
1
Quadratic configuration interaction QCISD(T)                 1.7625
1
QCISD(T)=FULL                 1.6564
1
Coupled Cluster CCD                 1.8906
1
CCSD                 1.9004
1
CCSD=FULL                 1.8547
1
CCSD(T)                 1.9437
1
CCSD(T)=FULL                 1.9158
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.