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Comparison of levels of theory for B-Si


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 1.7596
2
PM3 1.9747
2
PM6 1.9471
2
composite G2 1.8156
1
G3 1.8416
2
G3B3 1.8730
2
G4 1.8676
2
CBS-Q 1.8417
2

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 daug-cc-pVTZ
hartree fock HF 1.9112
2
1.8909
2
1.8558
2
1.8934
2
1.8656
2
1.8416
2
1.8602
2
1.8426
2
1.8426
2
1.8382
2
1.8389
2
1.8449
2
1.8552
2
1.8436
2
1.8393
2
1.8571
2
1.8437
2
1.8394
2
1.8436
2
ROHF   1.8813
2
1.8367
2
1.8875
2
1.8379
2
1.8379
2
1.8410
2
1.8377
2
1.8377
2
  1.8358
2
1.8413
2
1.8523
2
1.8409
2
1.8364
2
1.8543
2
1.8410
2
1.8365
2
 
density functional LSDA 1.8427
2
1.9253
2
1.9253
2
1.9100
2
1.9278
2
1.9278
2
1.9285
2
1.9201
2
1.9201
2
1.9193
2
1.9130
2
1.9215
2
1.9348
2
1.9184
2
  1.9343
2
1.9177
2
   
BLYP 1.8646
2
1.9915
2
1.9507
2
2.0011
2
1.9549
2
1.9549
2
1.9560
2
1.9483
2
1.9483
2
1.9456
2
1.9399
2
1.9487
2
1.9601
2
1.9444
2
  1.9595
2
1.9438
2
   
B1B95 1.7702
2
1.8193
1
1.8655
2
1.9110
2
1.8686
2
1.8686
2
1.8702
2
1.8659
2
1.8659
2
1.8652
2
1.8620
2
1.8679
2
1.8790
2
1.8664
2
  1.8795
2
1.8662
2
   
B3LYP 1.7806
2
1.9111
2
1.8736
2
1.9199
2
1.8778
2
1.8778
2
1.8799
2
1.8741
2
1.8741
2
1.8719
2
1.8681
2
1.8759
2
1.8869
2
1.8725
2
1.8681
2
1.8872
2
1.8723
2
1.8681
2
 
B3LYPultrafine   1.9111
2
    1.8778
2
1.8778
2
1.8800
2
1.8742
2
  1.8719
2
1.8681
2
1.8759
2
1.8869
2
1.8725
2
  1.8872
2
1.8723
2
   
B3PW91 1.7746
2
1.9049
2
1.8686
2
1.9119
2
1.8710
2
1.8710
2
1.8724
2
1.8676
2
1.8676
2
1.8662
2
1.8628
2
1.8698
2
1.8805
2
1.8669
2
  1.8809
2
1.8668
2
   
mPW1PW91 1.7693
2
1.9006
2
1.8642
2
1.9071
2
1.8660
2
1.8660
2
1.8676
2
1.8630
2
1.8630
2
1.8615
2
1.8587
2
1.8654
2
1.8756
2
1.8627
2
  1.8762
2
1.8626
2
   
M06-2X 1.7588
2
1.8951
2
1.8552
2
1.9018
2
1.8608
2
1.8608
2
1.8627
2
1.8576
2
1.8576
2
1.8550
2
1.8537
2
1.8592
2
1.8717
2
1.8577
2
  1.8724
2
1.8572
2
   
PBEPBE 1.8546
2
1.9847
2
1.9436
2
1.9919
2
1.9455
2
1.9455
2
1.9462
2
1.9400
2
1.9400
2
1.9383
2
1.9333
2
1.9414
2
1.9513
2
1.9376
2
  1.9510
2
1.9372
2
   
PBEPBEultrafine   1.9849
2
    1.9458
2
1.9458
2
1.9464
2
1.9402
2
  1.9385
2
1.9333
2
1.9416
2
1.9515
2
1.9378
2
  1.9512
2
1.9374
2
   
PBE1PBE 1.7689
2
1.8196
1
1.8655
2
1.9086
2
1.8672
2
1.8672
2
1.8689
2
1.8644
2
1.8644
2
1.8630
2
1.8602
2
1.8669
2
1.8769
2
1.8644
2
  1.8774
2
1.8643
2
   
HSEh1PBE 1.7699
2
1.9032
2
1.8662
2
1.9099
2
1.8683
2
1.8683
2
1.8699
2
1.8653
2
1.8653
2
1.8639
2
1.8608
2
1.8677
2
1.8780
2
1.8650
2
  1.8785
2
1.8649
2
   
TPSSh 1.7792
2
1.9129
2
1.8750
2
1.9164
2
1.8747
2
1.8747
2
1.8761
2
1.8717
2
1.8717
2
1.8703
2
1.8672
2
1.8740
2
1.8845
2
1.8708
2
1.8674
2
1.8849
2
1.8708
2
1.8673
2
 
wB97X-D 1.7641
2
1.8934
2
1.8568
2
1.9005
2
1.8594
2
1.8594
2
1.8610
2
1.8570
2
1.8570
2
1.8559
2
1.8529
2
1.8588
2
1.8712
2
1.8571
2
1.8525
2
1.8717
2
1.8569
2
1.8525
2
 
B97D3 1.8631
2
1.9988
2
1.9527
2
2.0021
2
1.9499
2
1.9499
2
1.9504
2
1.9401
2
1.9401
2
1.9432
2
1.9390
2
1.9393
2
1.9576
2
1.9424
2
1.9386
2
1.9570
2
1.9416
2
1.9385
2
1.9417
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 aug-cc-pVDZ aug-cc-pVTZ aug-cc-pVQZ daug-cc-pVTZ
Moller Plesset perturbation MP2 1.7992
2
1.9096
2
1.8676
2
1.9458
2
1.8881
2
1.8881
2
1.8947
2
1.8921
2
1.8921
2
1.8836
2
1.8845
2
1.8943
2
1.9096
2
1.8900
2
1.8831
2
1.9117
2
1.8904
2
1.8835
2
 
MP2=FULL 1.7989
2
1.9096
2
1.8667
2
1.9457
2
1.8853
2
1.8853
2
1.8920
2
1.8906
2
1.8906
2
1.8749
2
1.8794
2
1.8933
2
1.9077
2
1.8807
2
1.8739
2
1.9092
2
1.8769
2
1.8729
2
 
ROMP2 1.8297
1
  1.9105
1
1.9755
1
1.9085
1
1.9085
1
1.9116
1
1.9116
1
1.9116
1
1.9111
1
1.9077
1
1.9147
1
1.9370
1
1.9150
1
  1.9396
1
     
MP3         1.8860
2
  1.8928
2
      1.8826
2
1.8939
2
1.9132
2
1.8881
2
         
MP3=FULL   1.9174
2
1.8732
2
1.9495
2
1.8831
2
1.8831
2
1.8900
2
1.8897
2
1.8897
2
1.8738
2
1.8774
2
1.8929
2
1.9112
2
1.8784
2
  1.9134
2
1.8746
2
   
MP4   1.9949
1
    1.9273
1
      1.9328
1
  1.9242
1
1.9364
1
1.9612
1
1.9319
1
  1.9633
1
1.9318
1
   
MP4=FULL   1.9950
1
    1.9234
1
      1.9307
1
  1.9177
1
  1.9586
1
1.9197
1
  1.9598
1
1.9141
1
   
B2PLYP 1.9539
2
1.9199
2
1.8846
2
1.9283
2
1.8802
2
1.8802
2
1.8830
2
1.8790
2
1.8790
2
1.8769
2
1.8746
2
1.8819
2
1.8951
2
1.8796
2
  1.8965
2
1.8797
2
   
B2PLYP=FULL 1.9536
2
1.9199
2
1.8843
2
1.9282
2
1.8791
2
1.8791
2
1.8820
2
1.8785
2
1.8785
2
1.8740
2
1.8729
2
1.8815
2
1.8945
2
1.8765
2
  1.8957
2
1.8753
2
   
B2PLYP=FULLultrafine 1.9536
2
1.9096
2
1.8843
2
1.9282
2
1.8792
2
1.8792
2
1.8820
2
1.8785
2
1.8785
2
1.8740
2
1.8729
2
1.8815
2
1.8945
2
1.8766
2
  1.8957
2
1.8753
2
   
Configuration interaction CID   1.9166
2
1.8721
2
1.9458
2
1.8771
2
    1.8813
2
    1.8702
2
  1.9016
2
1.8754
2
         
CISD   1.9728
1
1.8734
2
1.9415
2
1.8755
2
    1.8793
2
    1.8689
2
  1.9002
2
1.8747
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 aug-cc-pVDZ aug-cc-pVTZ aug-cc-pVQZ daug-cc-pVTZ
Quadratic configuration interaction QCISD   1.9336
2
1.8817
2
1.9449
2
1.8753
2
1.8753
2
1.8800
2
1.8779
2
1.8779
2
1.8754
2
1.8717
2
1.8827
2
1.9057
2
1.8781
2
  1.9082
2
1.8783
2
   
QCISD(T)         1.9252
1
    1.9291
1
    1.9219
1
1.9324
1
1.9563
1
1.9292
1
  1.9587
1
1.9291
1
   
QCISD(T)=FULL         1.9216
1
  1.9240
1
      1.9156
1
  1.9537
1
1.9176
1
1.9089
1
1.9554
1
1.9121
1
1.9076
1
 
QCISD(TQ)         1.9251
1
  1.9276
1
      1.9231
1
  1.9573
1
1.9303
1
1.9206
1
1.9601
1
1.9303
1
1.9209
1
 
QCISD(TQ)=FULL         1.9214
1
          1.9167
1
      1.9097
1
1.9568
1
1.9133
1
   
Coupled Cluster CCD   1.9196
2
1.8752
2
1.9536
2
1.8847
2
1.8847
2
1.8911
2
1.8893
2
1.8893
2
1.8797
2
1.8785
2
1.8920
2
1.9117
2
1.8840
2
  1.9137
2
1.8844
2
   
CCSD         1.8752
2
        1.8749
2
1.8717
2
1.8827
2
1.9051
2
1.8780
2
1.8687
2
1.9077
2
1.8781
2
1.8690
2
 
CCSD=FULL         1.8719
2
        1.8651
2
1.8655
2
1.8812
2
1.9025
2
1.8672
2
1.8584
2
1.9049
2
1.8627
2
1.8571
2
 
CCSD(T)         1.9231
1
1.9231
1
1.9257
1
1.9271
1
1.9271
1
1.9246
1
1.9206
1
1.9305
1
1.9547
1
1.9279
1
1.9183
1
1.9573
1
1.9278
1
1.9187
1
 
CCSD(T)=FULL         1.9195
1
          1.9144
1
1.9292
1
1.9521
1
1.9163
1
1.9082
1
1.9541
1
1.9110
1
1.9063
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 aug-cc-pVDZ aug-cc-pVTZ aug-cc-pVQZ daug-cc-pVTZ

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 1.9319
2
1.8737
2
1.9179
2
1.8561
2
1.8800
2
1.8990
2
    1.8404
2
density functional B3LYP 1.9506
2
1.9114
2
1.9443
2
1.8980
2
1.9035
2
1.9169
2
    1.8665
2
PBEPBE                 1.9217
2
wB97X-D 1.9356
2
1.8985
2
1.9265
2
1.8819
2
1.8871
2
1.8971
2
     
Moller Plesset perturbation MP2 1.9020
2
1.9251
2
1.9371
2
1.9069
2
1.9061
2
1.9176
2
    1.8826
2
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.