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III.G.1.a.

Comparison of levels of theory for C-P


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 AM1 1.4437
3
PM3 1.5083
7
PM6 1.6015
7
composite G2 1.6274
6
G3 1.6257
7
G3B3 1.6370
7
CBS-Q 1.6263
7

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 cc-pV(T+d)Z
hartree fock HF 1.6475
6
1.6747
7
1.6259
6
1.6760
7
1.6258
7
1.6256
7
1.6264
7
1.6219
7
1.6219
7
1.6155
6
1.6498
4
1.6278
7
1.6326
7
1.6218
7
1.6159
6
1.6349
7
1.6223
7
1.6161
6
1.5849
3
ROHF   1.5661
1
1.5249
1
  1.5522
2
1.5241
1
1.5252
1
1.5216
1
        1.5330
1
1.5221
1
         
density functional LSDA 1.6552
7
1.6550
7
1.6329
7
1.6757
7
1.6347
7
1.6346
7
1.6342
7
1.6279
7
1.6281
7
1.6268
7
    1.6407
7
1.6258
7
1.5961
1
1.6405
7
1.5916
3
1.5944
1
 
SVWN   1.6736
7
    1.6478
6
  1.6341
7
                       
BLYP 1.6658
6
1.6964
7
1.6533
7
1.6992
7
1.6558
7
1.6556
7
1.6556
7
1.6502
7
1.6502
7
1.6416
6
    1.6608
7
1.6471
7
  1.6854
3
     
B1B95 1.6203
7
1.6509
7
1.6286
7
1.6726
7
1.6288
7
1.6298
7
1.6294
7
1.6255
7
1.6256
7
1.6238
7
    1.6360
7
1.6230
7
1.5679
2
1.6356
7
1.5880
3
1.5675
2
 
B3LYP 1.6449
7
1.6785
7
1.6352
7
1.6808
7
1.6371
7
1.6369
7
1.6371
7
1.6321
7
1.5947
3
1.6236
6
1.7075
2
1.6356
7
1.6428
7
1.6298
7
1.6323
5
1.6435
7
1.6298
7
1.6323
5
1.5829
3
B3LYPultrafine         1.6370
7
  1.8768
1
                       
B3PW91 1.6113
4
1.6878
6
1.6326
7
1.6888
6
1.6334
7
1.6332
7
1.6330
7
1.6283
7
1.5916
3
1.6207
6
    1.6393
7
1.6268
7
  1.6635
3
     
mPW1PW91 1.6197
5
1.6721
7
1.6117
4
1.6732
7
1.6297
7
1.6296
7
1.6294
7
1.6249
7
1.6252
7
1.6173
6
    1.6355
7
1.6236
7
  1.6602
3
     
M06-2X         1.6249
7
                           
PBEPBE 1.6283
4
1.6904
7
1.6320
4
1.6780
4
1.6491
7
1.6489
7
1.6486
7
1.6438
7
1.6439
7
1.6362
6
1.6627
4
  1.6545
7
1.6418
7
1.5856
2
1.5766
1
1.6470
5
1.5849
2
1.5668
1
PBEPBEultrafine         1.6747
4
                           
HSEh1PBE         1.6443
6
                           
Moller Plesset perturbation MP2FC 1.6785
4
1.7042
7
1.6444
7
1.7076
7
1.6388
7
1.6385
7
1.6383
7
1.6338
7
1.6340
7
1.6069
5
  1.6405
7
1.6521
7
1.6268
6
1.5533
2
1.6548
7
1.6334
7
1.5069
1
1.5785
3
MP2FU 1.6783
4
1.7044
7
1.6346
4
1.6992
4
1.6369
7
1.6365
7
1.6364
7
1.6326
7
1.6079
3
1.6017
3
    1.6507
7
1.6191
4
1.5482
2
1.5828
3
1.6003
1
  1.5724
3
MP3         1.6261
7
                           
MP4 1.6790
1
1.7004
3
    1.6612
6
    1.6609
4
1.6212
3
        1.6039
5
         
B2PLYP         1.6373
7
  1.6373
7
                       
Configuration interaction CID   1.6570
3
1.5947
3
1.6611
3
1.6261
7
    1.6218
7
                     
CISD   1.6369
4
1.5974
3
1.6369
2
1.6293
7
1.5379
1
  1.5892
3
                     
Quadratic configuration interaction QCISD 1.6831
1
1.6999
7
1.6279
4
1.6751
4
1.6410
7
1.6241
4
1.6405
7
1.6374
7
1.6309
6
1.5995
3
    1.6542
7
1.6076
5
        1.5601
1
QCISD(T)         1.6643
5
    1.6697
4
        1.6313
3
1.6117
3
  1.6201
2
1.5988
2
   
Coupled Cluster CCD 1.6827
1
1.6809
4
1.6217
4
1.6858
4
1.6321
7
1.6171
4
1.6168
4
1.6276
7
1.5945
3
1.5916
3
    1.6604
6
1.6113
4
  1.6168
3
1.5926
3
   
CCSD         1.6553
5
    1.6624
4
                     
CCSD(T)   1.6285
1
    1.6727
4
1.6717
4
1.5756
1
1.6690
4
1.5712
1
  1.5624
1
  1.6305
3
1.6005
4
1.5699
1
1.6327
3
1.6107
3
  1.5653
1
CCSD(T)=FULL         1.6287
2
                           

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 1.6869
7
1.6471
7
1.6847
7
1.6407
7
1.6949
5
1.6681
7
density functional B1B95 1.7128
4
1.7140
3
       
B3LYP 1.6974
7
1.6578
7
1.6950
7
1.6538
7
1.7159
5
1.6737
7
Moller Plesset perturbation MP2FC 1.7275
7
1.6676
7
1.7188
7
1.6568
7
1.7883
5
1.7022
7
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.