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III.G.1.a.

Comparison of levels of theory for Be-N


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 1.5470
3
PM3 1.4682
4
PM6 1.3657
5
composite G2 1.4932
4
G3 1.4932
4
G3B3 1.5258
4
CBS-Q 1.4926
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) TZVP cc-pVDZ cc-pVTZ cc-pVQZ aug-cc-pVDZ aug-cc-pVTZ aug-cc-pVQZ
hartree fock HF 1.5190
4
1.5353
4
1.5353
4
1.5286
4
1.5130
4
1.4932
4
1.4960
4
1.4883
4
1.4883
4
1.4899
4
1.6083
5
1.4962
4
1.4907
4
1.4886
4
1.5023
4
1.4931
4
1.4899
4
ROHF 1.4977
4
1.5282
4
1.5282
4
1.5216
4
1.4883
4
1.4883
4
1.4906
4
1.4828
4
1.4828
4
1.4534
3
  1.4907
4
1.4858
4
1.4635
2
1.4640
3
1.4564
3
1.4651
2
density functional LSDA 1.5603
3
1.5701
3
1.5701
3
1.5663
3
1.5358
3
1.5358
3
1.5386
3
1.5285
3
1.5285
3
1.4989
2
  1.5396
3
1.5298
3
1.4946
2
1.5087
2
1.4999
2
1.4960
2
SVWN   1.5737
5
    1.5284
4
  1.5377
5
                   
BLYP 1.5601
4
1.5716
4
1.5716
4
1.5684
4
1.5402
4
1.5402
4
1.5435
4
1.5327
4
1.5327
4
1.5368
4
  1.5424
4
1.5345
4
       
B1B95 1.5421
4
1.5611
4
1.5611
4
1.5573
4
1.5266
4
1.5266
4
1.5293
4
1.5200
4
1.5200
4
1.5231
4
  1.5301
4
1.5216
4
1.5184
4
1.5085
3
1.5330
3
1.5198
4
B3LYP 1.5433
4
1.5597
4
1.5597
4
1.5555
4
1.5258
4
1.5258
4
1.5284
4
1.5186
4
1.5186
4
1.5226
4
1.5531
5
1.5283
4
1.5205
4
1.5174
4
1.5324
4
1.5226
4
1.5189
4
B3LYPultrafine         1.5258
4
                       
B3PW91 1.5431
4
1.5637
4
1.5637
4
1.5592
4
1.5281
4
1.5281
4
1.5302
4
1.5220
4
1.5220
4
1.5249
4
  1.5320
4
1.5233
4
       
mPW1PW91 1.5396
4
1.5623
4
1.5623
4
1.5578
4
1.5263
4
1.5263
4
1.5284
4
1.5202
4
1.5202
4
1.5229
4
  1.5303
4
1.5217
4
       
M06-2X         1.5335
5
                       
PBEPBE 1.5568
4
1.5740
4
1.5740
4
1.5703
4
1.5408
4
1.5408
4
1.5433
4
1.5339
4
1.5339
4
1.5373
4
  1.5444
4
1.5351
4
1.5317
4
    1.5333
4
HSEh1PBE         1.5279
3
                       
Moller Plesset perturbation MP2FC 1.5388
4
1.5661
4
1.5661
4
1.5681
4
1.5348
4
1.5348
4
1.5426
4
1.5389
4
1.5389
4
1.5314
4
1.5715
5
1.5440
4
1.5394
4
1.5350
4
1.5550
4
1.5407
4
1.5493
3
MP2FU 1.5388
4
1.5660
4
1.5660
4
1.5680
4
1.5327
4
1.5327
4
1.5405
4
1.5377
4
1.5377
4
1.5240
4
  1.5427
4
1.5310
4
1.5299
4
  1.5242
2
1.5420
3
ROMP2 1.5112
2
1.5582
2
1.5582
2
1.5522
2
1.5223
2
1.5223
2
1.5315
2
1.5336
2
1.5336
2
1.5184
2
  1.5354
2
1.5330
2
1.5277
2
1.5432
2
1.5309
2
1.5271
2
MP3         1.5383
4
                       
MP4   1.5758
4
    1.5411
4
      1.5455
4
      1.5328
2
       
B2PLYP         1.5474
5
  1.5503
5
                   
Configuration interaction CID   1.5714
4
1.5714
4
1.5727
4
1.5296
4
    1.5326
4
                 
CISD   1.5844
4
1.5844
4
1.5854
4
1.5340
4
    1.5359
4
                 
Quadratic configuration interaction QCISD   1.5705
4
1.5705
4
1.5628
4
1.5145
4
1.5145
4
1.5920
2
1.5118
3
1.5118
3
1.5110
3
  1.5240
3
1.5128
3
       
QCISD(T)         1.5598
4
            1.5767
4
1.5523
4
  1.5804
4
1.5527
4
 
Coupled Cluster CCD   1.5752
4
1.5752
4
1.5776
4
1.5361
4
1.5361
4
1.5428
4
1.5390
4
1.5390
4
1.5306
4
  1.5462
4
1.5377
4
  1.5564
4
1.5385
4
 
CCSD         1.5542
3
                       
CCSD(T)         1.5703
3
            1.5424
4
1.5296
4
1.5242
4
1.5540
4
1.5335
4
1.5593
2
CCSD(T)=FULL         1.5015
3
                1.5167
4
1.6348
1
  1.5505
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 1.5361
4
1.5010
4
1.5227
4
1.4927
4
1.5433
4
1.5429
4
density functional B3LYP 1.5706
4
1.5406
4
1.5592
4
1.5326
4
1.5701
4
1.5698
4
Moller Plesset perturbation MP2FC 1.5837
4
1.5492
4
1.5707
4
1.5426
4
1.5816
4
1.5804
4
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.