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Comparison of levels of theory for H-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 1.9062
2
PM6 1.9837
4
composite G2 2.0971
4
G3 1.9821
2
G3B3 1.9852
4
G4 1.9833
4
CBS-Q 2.0856
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
hartree fock HF 2.0234
4
2.1358
4
2.1455
4
2.1336
4
2.0975
4
2.0958
4
2.0957
4
2.0359
4
2.0379
4
2.0769
4
2.0816
2
2.1275
4
1.9916
2
1.9892
2
1.9860
2
ROHF   2.1669
1
2.1764
1
2.1676
1
2.1240
1
2.1224
1
2.1238
1
2.0511
1
2.0540
1
    2.1720
1
2.0527
1
2.0503
1
2.0468
1
density functional LSDA 2.0554
4
2.1360
4
2.1342
4
2.1347
4
2.0875
4
2.0854
4
2.0852
4
1.9809
6
1.9809
6
2.0581
4
2.0308
2
2.1111
2
1.9156
2
1.9025
2
 
BLYP 2.0716
4
2.1560
4
2.1484
4
2.1486
4
2.0065
6
2.1039
4
2.1038
4
2.0069
6
2.0078
6
2.0779
4
2.0339
4
2.1291
2
1.9416
2
1.9299
2
 
B1B95 2.0475
4
  2.1331
4
2.1308
4
2.0859
4
2.0855
4
2.0744
3
2.0295
5
2.0070
6
2.0599
4
  2.1088
2
1.9338
2
1.9254
2
 
B3LYP 2.0530
4
2.1393
4
2.1354
4
2.1332
4
2.0917
4
2.0897
4
2.0896
4
2.0061
6
2.0076
6
2.0644
4
2.0336
4
2.1223
4
1.9377
2
1.9283
2
1.9260
2
B3LYPultrafine         2.0976
6
    2.0266
2
    2.0336
4
  1.9375
2
1.9281
2
 
B3PW91 2.0519
4
2.1383
4
2.1358
4
2.1325
4
2.0941
6
2.0858
4
2.0918
6
2.0017
6
2.0027
6
2.0608
4
2.0303
4
2.1094
2
1.9298
2
1.9207
2
 
mPW1PW91 2.0475
4
2.1348
4
2.1339
4
2.1295
4
2.0853
4
2.0833
4
2.0832
4
2.0026
6
2.0039
6
2.0587
4
2.0309
4
2.1057
2
1.9307
2
1.9222
2
 
M06-2X 2.0391
2
2.1165
2
2.1262
4
2.1162
2
2.0672
2
2.0664
2
2.0662
2
1.9580
2
1.9599
2
2.0396
2
2.0421
5
2.1077
2
1.9535
2
1.9483
2
 
PBEPBE 2.0693
4
2.1563
4
2.1496
4
2.1491
4
2.1034
4
2.1008
4
2.1006
4
2.0025
6
2.0027
6
2.0751
4
2.0300
4
2.1258
2
1.9342
2
1.9227
2
 
PBEPBEultrafine         2.0852
2
              1.9339
2
1.9225
2
 
PBE1PBE 2.0525
2
  2.1266
2
2.1246
2
2.0891
4
2.0700
2
2.0684
2
1.9397
2
1.9397
2
2.0358
2
  2.1093
2
1.9342
2
1.9256
2
 
HSEh1PBE 2.0526
2
2.1279
2
2.1261
2
2.1245
2
2.0703
2
2.0689
2
2.0687
2
1.9404
2
1.9405
2
2.0359
2
  2.1095
2
1.9348
2
1.9260
2
 
TPSSh   2.1259
2
2.1283
2
2.1231
2
1.9406
4
2.0670
2
1.9396
4
1.9334
2
  1.9020
3
    1.9307
2
1.8675
4
 
wB97X-D     2.0211
5
  1.9843
6
  1.9830
6
  1.9302
5
    2.0139
6
1.9830
6
1.9338
6
 
B97D3   2.0446
6
    2.0053
6
  2.0038
6
  1.9429
6
  1.9390
6
2.1451
4
  1.9383
6
 
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 2.0424
4
2.1560
4
2.1594
4
2.1517
4
1.9482
4
2.0867
4
2.0863
4
1.8956
4
2.0082
4
2.0637
4
  2.1221
4
1.9882
2
1.9870
2
1.9848
2
MP2=FULL 2.0445
4
2.1567
4
2.1602
4
2.1517
4
2.1044
4
2.0867
4
2.0863
4
2.0245
4
2.0073
4
2.0638
4
  2.1025
2
1.9567
2
1.9570
2
1.9347
2
ROMP2 2.0605
1
2.1860
1
2.1860
1
2.1792
1
2.1263
1
2.1092
1
2.1087
1
2.0357
1
2.0192
1
2.0831
1
  2.1585
1
2.0458
1
2.0437
1
 
MP3         2.1111
4
  1.9396
4
               
MP3=FULL         1.9209
3
  1.9107
3
               
MP4 2.0812
1
2.1773
4
    2.1169
4
      2.0123
4
2.0920
1
  2.1167
2
1.9918
2
1.9938
2
 
MP4=FULL   2.1692
2
    2.0986
2
      2.0231
1
      1.9586
2
1.9655
2
 
B2PLYP         2.1231
1
                1.8123
2
 
B2PLYP=FULLultrafine         2.1158
3
              2.0370
5
2.0343
5
 
Configuration interaction CID   2.1801
4
2.1774
4
2.1709
4
2.1176
4
    2.0320
4
2.0233
1
2.0889
1
         
CISD   2.1889
4
2.1834
4
2.1792
4
2.1235
4
    2.0335
4
2.0246
1
2.0920
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
Quadratic configuration interaction QCISD 2.1123
1
2.1906
4
2.1848
4
2.1813
4
2.1262
4
2.0991
4
2.0985
4
2.0466
4
2.0185
4
2.0774
4
  2.1275
2
1.9966
2
1.9970
2
 
QCISD(T)   2.2212
1
2.2158
1
2.2143
1
2.1277
4
2.1253
1
2.1246
1
2.0606
1
2.0302
1
2.1010
1
  2.1281
2
1.9968
2
1.9971
2
 
Coupled Cluster CCD   2.1813
4
2.1784
4
2.1723
4
2.1191
4
2.0933
4
2.0928
4
2.0398
4
2.0138
4
2.0710
4
  2.1188
2
1.9931
2
1.9951
2
 
CCSD         2.1261
4
            2.1273
2
1.9966
2
1.9969
2
1.9962
2
CCSD=FULL         2.1104
2
            2.1207
2
1.9650
2
1.9710
2
1.9503
2
CCSD(T)     2.2154
1
2.2137
1
2.1277
4
2.1252
1
2.1252
1
2.0604
1
2.0301
1
2.1008
1
2.0553
4
2.1280
2
1.9968
2
2.0576
6
1.9959
2
CCSD(T)=FULL         2.0918
4
            2.1221
2
1.9654
2
2.0318
6
1.9487
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 2.0959
4
  2.1190
4
  2.1192
4
2.0563
4
    1.9572
6
density functional B3LYP 2.1035
4
  2.1206
4
  2.1159
4
2.0204
6
    1.9360
6
PBEPBE                 1.9365
6
Moller Plesset perturbation MP2 2.1119
4
  2.1317
4
  2.1385
4
2.0595
4
    1.9529
6
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.