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Comparison of levels of theory for Ca-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 3.5739
1
PM6 3.3962
1
composite G2 4.7588
1
G3 4.7588
1
G3B3 4.5221
1
G4 4.5153
1
CBS-Q 4.7588
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 cc-pVTZ cc-pVQZ
hartree fock HF 4.4075
1
7.0677
1
6.6235
1
7.9626
1
7.9626
1
7.9626
1
7.9626
1
7.9626
1
7.9626
1
7.9626
1
  8.4966
1
7.4287
1
7.9583
1
7.9575
1
density functional LSDA 3.9158
1
4.1614
1
4.1614
1
4.2665
1
4.1788
1
4.1788
1
4.1814
1
4.0026
1
4.0026
1
4.1624
1
  4.2441
1
3.9688
1
3.9498
1
 
BLYP 4.1166
1
4.6865
1
4.4878
1
4.8451
1
4.6111
1
4.6503
1
4.6553
1
4.3285
1
4.3285
1
4.5668
1
  4.7623
1
4.2311
1
4.2085
1
 
B1B95 4.0356
1
  4.3448
1
4.5294
1
4.4365
1
4.4365
1
4.4395
1
4.3177
1
4.3177
1
4.3983
1
  4.4703
1
4.2256
1
4.2302
1
 
B3LYP 4.1250
1
4.6944
1
4.4973
1
4.8553
1
4.6636
1
4.6636
1
4.6700
1
4.4192
1
4.4192
1
4.5834
1
  4.7808
1
4.3246
1
4.3094
1
4.3101
1
B3LYPultrafine         4.6671
1
            4.7715
1
4.3208
1
4.3052
1
 
B3PW91 4.0380
1
4.4564
1
4.3496
1
4.5159
1
4.4061
1
4.4061
1
4.4094
1
4.2691
1
4.2691
1
4.3795
1
  4.4668
1
4.1980
1
4.1924
1
 
mPW1PW91 4.0285
1
4.4478
1
4.3441
1
4.5036
1
4.3959
1
4.3959
1
4.3981
1
4.2737
1
4.2737
1
4.3701
1
  4.4547
1
4.2049
1
4.2013
1
 
M06-2X 4.0869
1
4.4843
1
4.3934
1
4.5968
1
4.5316
1
4.5316
1
4.5335
1
4.4090
1
4.4090
1
4.5049
1
4.3598
1
4.5577
1
4.3424
1
4.3531
1
 
PBEPBE 3.9914
1
4.3820
1
4.2888
1
4.4206
1
4.3333
1
4.3333
1
4.3355
1
4.1599
1
4.1599
1
4.3093
1
  4.3830
1
4.1001
1
4.0912
1
 
PBEPBEultrafine         4.3296
1
            4.3809
1
4.1027
1
4.0937
1
 
PBE1PBE 4.0197
1
  4.3358
1
4.4918
1
4.3876
1
4.3876
1
4.3905
1
4.2683
1
4.2683
1
4.3619
1
  4.4431
1
4.2016
1
4.1980
1
 
HSEh1PBE 4.0185
1
4.4185
1
4.3184
1
4.4729
1
4.3705
1
4.3705
1
4.3735
1
4.2464
1
4.2464
1
4.3449
1
  4.4268
1
4.1838
1
4.1777
1
 
TPSSh   4.4192
1
4.3113
1
4.4712
1
4.3665
1
4.3665
1
4.3688
1
4.2273
1
  4.4788
1
  4.4086
1
4.1469
1
4.1437
1
 
wB97X-D     4.5572
1
  4.6183
1
  4.6216
1
  4.5713
1
    4.6486
1
4.6216
1
4.5275
1
 
B97D3   4.5154
1
    4.4951
1
  4.4963
1
  4.4412
1
  4.4412
1
4.4901
1
  4.4412
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 4.3962
1
5.6886
1
4.6620
1
5.9581
1
4.6901
1
5.1561
1
5.2170
1
4.6850
1
5.1209
1
4.5594
1
  5.9026
1
4.7718
1
5.8657
1
4.5310
1
MP2=FULL 4.3562
1
5.6623
1
4.5851
1
5.9579
1
5.1534
1
5.1534
1
5.2153
1
5.1106
1
5.1106
1
4.5534
1
  5.8267
1
4.5609
1
4.8573
1
4.3038
1
MP3         5.2506
1
  5.3406
1
        6.0020
1
4.7033
1
4.4948
1
 
MP3=FULL         5.2481
1
  5.3394
1
        5.9596
1
4.5622
1
4.3160
1
 
MP4   6.1831
1
    5.4315
1
      5.5193
1
    6.2600
1
4.6648
1
4.4377
1
 
MP4=FULL   6.1654
1
    5.4285
1
      5.5000
1
      4.5243
1
4.2478
1
 
B2PLYP=FULLultrafine         4.8498
1
              4.4655
1
4.3686
1
 
Configuration interaction CID   6.4587
1
4.6547
1
6.5224
1
5.9228
1
    6.0357
1
             
CISD   6.4291
1
4.6370
1
6.4991
1
5.9384
1
    6.0395
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   6.6412
1
4.6931
1
6.6798
1
6.1895
1
6.1895
1
6.0834
1
6.2584
1
6.2584
1
4.6466
1
  6.7458
1
4.9036
1
4.6225
1
 
QCISD(T)         5.8008
1
            6.5673
1
4.6876
1
4.4268
1
 
Coupled Cluster CCD   6.6870
1
4.7096
1
6.7236
1
6.2157
1
6.2157
1
6.0898
1
6.3798
1
6.3798
1
4.6369
1
  6.7657
1
4.9070
1
4.6504
1
 
CCSD         6.1807
1
            6.7313
1
4.9075
1
4.6317
1
4.5721
1
CCSD=FULL         6.1784
1
            6.6509
1
4.6568
1
4.4294
1
4.4303
1
CCSD(T)         5.7943
1
            6.5609
1
4.6890
1
4.4309
1
4.3893
1
CCSD(T)=FULL         5.7925
1
            6.4751
1
4.5381
1
4.2633
1
4.2606
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

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 8.4966
1
  8.4966
1
  6.7248
1
7.9586
1
    4.7588
1
density functional B3LYP 4.7554
1
  4.7554
1
  4.8698
1
4.3660
1
    4.5215
1
PBEPBE                 4.4412
1
Moller Plesset perturbation MP2 5.8990
1
  5.8990
1
  5.8769
1
4.7153
1
    4.6325
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.