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Comparison of levels of theory for N-Br


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 1.8278
4
PM3 1.8197
4
PM6 2.0091
4
composite G2 1.9154
5
G3 1.9175
5
G3B3 1.9702
5
G4 1.9896
4
CBS-Q 1.9019
5

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-pVDZ daug-cc-pVTZ
hartree fock HF 1.9112
5
2.1148
5
2.0618
5
2.1519
5
1.9196
5
1.9196
5
1.9124
5
1.9247
5
1.9247
5
1.8723
5
1.8628
3
1.9170
5
1.9321
5
1.9066
5
1.9039
5
1.9222
5
1.9050
5
1.9028
5
1.8834
3
1.9050
5
ROHF   2.4371
2
2.3146
2
2.4911
2
1.9709
2
1.9709
2
1.9598
2
1.9971
2
1.9971
2
    1.8329
1
2.0007
2
1.9705
2
1.9684
2
1.9794
2
1.9669
2
1.9661
2
   
density functional LSDA 1.9718
5
1.9763
4
1.9436
5
2.0181
5
1.9365
5
1.9365
5
1.9258
5
1.9448
5
1.9448
5
1.8868
5
  1.8874
4
1.9463
5
1.9207
5
  1.9337
5
1.9171
5
     
BLYP 2.0184
5
2.0596
5
2.0125
5
2.0866
5
2.0115
5
2.0113
5
2.0012
5
2.0252
5
2.0252
5
1.9648
5
1.9925
3
1.9632
4
2.0229
5
2.0014
5
  2.0080
3
1.9930
3
  2.0077
3
1.9927
3
B1B95 1.9593
5
1.9400
3
1.9462
5
2.0166
5
1.9385
5
1.9385
5
1.9294
5
1.9456
5
1.9456
5
1.8921
5
1.9057
3
1.8863
4
1.9491
5
1.9253
5
  1.9377
5
1.9226
5
    1.9064
3
B3LYP 1.9795
5
2.0180
5
1.9732
5
2.0444
5
1.9691
5
1.9691
5
1.9596
5
1.9773
5
1.9773
5
1.9219
5
1.9395
3
1.9684
5
1.9784
5
1.9563
5
1.9516
5
1.9675
5
1.9527
5
1.9500
5
1.9575
3
1.9401
3
B3LYPultrafine   2.0121
3
    1.9691
5
1.9626
3
1.9542
3
1.9617
3
  1.9109
3
1.9395
3
1.9546
3
1.9290
4
1.9041
4
  1.9198
4
1.9531
5
  1.9575
3
1.9401
3
B3PW91 1.9711
5
2.0038
5
1.9575
5
2.0287
5
1.9511
5
1.9511
5
1.9414
5
1.9579
5
1.9579
5
1.9041
5
1.9203
3
1.8984
4
1.9605
5
1.9370
5
  1.9390
3
1.9209
3
  1.9383
3
1.9208
3
mPW1PW91 1.9616
5
1.9937
5
1.9483
5
2.0188
5
1.9415
5
1.9415
5
1.9323
5
1.9478
5
1.9478
5
1.8952
5
1.9095
3
1.8892
4
1.9512
5
1.9277
5
  1.9400
5
1.9252
5
  1.9275
3
1.9101
3
M06-2X 1.9285
4
1.9556
4
1.9433
5
1.9690
4
1.8889
4
1.8889
4
1.8814
4
1.8884
4
1.8884
4
1.8459
4
1.9190
5
1.8833
4
1.8943
4
1.8719
4
  1.8876
4
1.8707
4
  1.9166
3
1.9003
3
PBEPBE 1.9995
5
2.0344
5
1.9853
5
2.0599
5
1.9801
5
1.9801
5
1.9695
5
1.9911
5
1.9911
5
1.9328
5
1.9582
3
1.9309
4
1.9906
5
1.9671
5
  1.9778
5
1.9636
5
  1.9742
3
1.9582
3
PBEPBEultrafine   2.0338
3
    1.9355
4
1.9787
3
1.9694
3
1.9834
3
  1.9274
3
1.9582
3
1.9756
3
1.9415
4
1.9171
4
  1.9312
4
1.9148
4
  1.9742
3
1.9582
3
PBE1PBE 1.9443
4
1.9412
3
1.9148
4
1.9800
4
1.9393
5
1.8950
4
1.8871
4
1.8935
4
1.8935
4
1.8490
4
1.9074
3
1.8872
4
1.8995
4
1.8753
4
  1.8916
4
1.8740
4
  1.9255
3
1.9080
3
HSEh1PBE 1.9466
4
1.9643
4
1.9179
4
1.9842
4
1.8986
4
1.8986
4
1.8906
4
1.8976
4
1.8976
4
1.8520
4
1.9113
3
1.8911
4
1.9033
4
1.8791
4
  1.8953
4
1.8776
4
  1.9296
3
1.9121
3
TPSSh 1.9949
3
2.0140
3
1.9695
3
2.0321
3
2.0111
4
1.9588
3
2.0024
4
1.9595
3
1.9600
3
1.9257
5
1.9378
3
1.9525
3
1.9637
3
1.9957
4
1.9360
3
1.9555
3
1.9383
3
1.9354
3
1.9552
3
1.9383
3
wB97X-D 1.9641
3
1.9722
3
1.9524
5
1.9921
3
1.9379
5
1.9222
3
1.9301
5
1.9188
3
1.9390
5
1.8734
3
1.9002
3
1.9329
5
1.9358
5
1.9223
5
1.8988
3
1.9192
3
1.9203
5
1.8983
3
1.9185
3
1.9014
3
B97D3 2.0213
3
2.0473
5
1.9953
3
2.0641
3
1.9947
5
1.9908
3
1.9856
5
1.9955
3
2.0011
5
1.9385
3
1.9770
5
1.9967
5
1.9963
3
1.9800
5
1.9681
3
1.9872
3
1.9783
5
1.9673
3
1.9867
3
1.9784
5
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-pVDZ daug-cc-pVTZ
Moller Plesset perturbation MP2 1.9792
5
2.0611
5
2.0043
5
2.0961
5
1.9845
5
1.9855
5
1.9768
5
1.9702
5
1.9754
5
1.9189
5
1.9226
3
1.9681
5
1.9857
5
1.9420
5
1.8729
4
1.9764
5
1.9376
5
1.8679
4
1.9550
3
1.9157
3
MP2=FULL 1.9791
5
2.0606
5
2.0033
5
2.0935
5
1.9801
5
1.9801
5
1.9709
5
1.9726
5
1.9726
5
1.8965
5
1.9127
3
1.9042
4
1.9835
5
1.9349
5
1.8675
4
1.9732
5
1.9225
5
1.7519
1
1.9514
3
1.8985
3
ROMP2 1.9647
4
1.9902
3
1.9611
4
2.0574
4
1.9310
4
1.9310
4
1.9211
4
1.9111
4
1.9112
4
1.8634
4
1.9214
3
1.9067
4
1.9255
4
1.8825
4
  1.9192
4
    1.9554
3
1.9159
3
MP3         1.9613
5
  1.9938
4
      1.8987
3
1.9156
3
1.9363
3
1.8958
3
        1.9282
3
1.8915
3
MP3=FULL   1.9955
3
1.9546
3
2.0154
3
1.9939
4
1.9368
3
1.9862
4
1.9199
3
1.9199
3
1.8595
3
1.8908
3
1.9148
3
1.9340
3
1.8897
3
  1.9270
3
1.8810
3
  1.9254
3
1.8784
3
MP4   2.0960
5
    2.0102
5
      2.0022
5
    1.9316
4
1.9502
4
1.9644
5
  1.8140
1
1.7782
1
     
MP4=FULL   2.0349
4
    1.9488
4
      1.9362
4
  1.9374
3
  1.9470
4
1.8987
4
  1.8117
1
1.7718
1
     
B2PLYP 1.9877
3
2.0287
3
1.9767
3
2.0545
3
1.9665
3
1.9665
3
1.9575
3
1.9592
3
1.9592
3
1.9077
3
1.9360
3
1.9526
3
1.9665
3
1.9947
4
  1.9592
3
1.9350
3
  1.9573
3
1.9343
3
B2PLYP=FULL 1.9877
3
2.0285
3
1.9763
3
2.0538
3
1.9647
3
1.9647
3
1.9557
3
1.9585
3
1.9585
3
1.9003
3
1.9330
3
1.9522
3
1.9657
3
1.9345
3
  1.9583
3
1.9303
3
  1.9562
3
1.9288
3
B2PLYP=FULLultrafine 1.9881
3
2.0281
3
1.9764
3
2.0535
3
1.9731
5
1.9649
3
1.9559
3
1.9587
3
1.9587
3
1.9001
3
1.9330
3
1.9525
3
1.9808
5
1.9501
5
  1.9588
3
1.9445
5
  1.9562
3
1.9288
3
Configuration interaction CID   1.9977
5
1.9503
5
2.0235
5
1.9413
5
    1.9324
5
    1.8745
3
  1.9131
3
1.8694
3
        1.9041
3
1.8652
3
CISD   2.0104
5
1.9541
5
2.0399
5
1.9434
5
    1.9345
5
    1.8760
3
  1.9154
3
1.8705
3
        1.9056
3
1.8661
3
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-pVDZ daug-cc-pVTZ
Quadratic configuration interaction QCISD   2.0516
5
1.9893
5
2.0826
5
1.9737
5
1.9737
5
1.9628
5
1.9643
5
1.9643
5
1.9048
5
1.9129
3
1.9066
4
1.9754
5
1.9275
5
  1.9600
5
1.9209
5
  1.9444
3
1.9049
3
QCISD(T)         1.9943
5
    1.9674
3
    1.9341
3
1.9245
4
1.9969
5
1.9471
5
  1.9325
4
1.8926
4
  1.9654
3
1.9264
3
QCISD(T)=FULL         1.9768
3
  1.9661
3
          1.9762
3
1.9244
3
  1.9638
3
       
QCISD(TQ)         1.9818
3
  1.9720
3
                         
Coupled Cluster CCD   2.0294
5
1.9795
5
2.0558
5
1.9660
5
1.9660
5
1.9567
5
1.9544
5
1.9544
5
1.9000
5
1.9038
3
1.8957
4
1.9667
5
1.9213
5
  1.9540
5
1.9159
5
  1.9348
3
1.8963
3
CCSD         1.9710
5
1.9592
3
1.9499
3
1.9404
3
1.9404
3
1.8899
3
1.9105
3
1.9038
4
1.9729
5
1.9250
5
1.7778
1
1.9134
4
1.8735
4
1.7743
1
  1.9027
3
CCSD=FULL         1.9222
4
        1.8683
3
1.9012
3
1.9023
4
1.9217
4
1.8716
4
1.7744
1
1.9102
4
1.8618
4
1.7695
1
   
CCSD(T)         1.9921
5
1.9820
3
1.9708
3
1.9654
3
1.9653
3
1.9096
3
1.9326
3
1.9225
4
1.9949
5
1.9456
5
1.9567
2
1.9781
5
1.9395
5
1.9497
2
   
CCSD(T)=FULL         1.9860
5
          1.9237
3
1.9210
4
1.9926
5
1.9389
5
1.7773
1
1.9750
5
1.9267
5
1.7727
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-pVDZ 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 2.3431
5
  2.3886
5
  2.3359
5
2.3308
5
1.8638
3
  1.8979
5
density functional LSDA             1.9155
3
   
BLYP             1.9951
3
  1.9923
3
B1B95             1.9083
3
  1.9053
3
B3LYP 2.0467
5
  2.0468
5
  2.0613
5
2.0430
5
1.9423
3
  1.9533
5
B3LYPultrafine             1.9423
3
  1.9391
3
B3PW91             1.9226
3
  1.9195
3
mPW1PW91             1.9116
3
  1.9088
3
M06-2X             1.9027
3
  1.8996
3
PBEPBE             1.9605
3
  1.9657
5
PBEPBEultrafine             1.9605
3
  1.9575
3
PBE1PBE             1.9096
3
  1.9068
3
HSEh1PBE             1.9137
3
  1.9107
3
TPSSh             1.9397
3
  1.9373
3
wB97X-D 2.0067
3
  2.0051
3
  2.0170
3
1.9982
3
1.9031
3
  1.9003
3
B97D3             1.9731
3
  1.9698
3
Moller Plesset perturbation MP2 2.0977
5
  2.0957
5
  2.1133
5
2.0913
5
1.9195
3
  1.9380
5
MP2=FULL             1.9141
3
  1.9130
3
ROMP2                 1.9173
3
MP3             1.8951
3
  1.8943
3
MP3=FULL             1.8908
3
  1.8911
3
B2PLYP             1.9369
3
  1.9341
3
B2PLYP=FULL             1.9353
3
  1.9328
3
B2PLYP=FULLultrafine             1.9353
3
  1.9328
3
Configuration interaction CID             1.8691
3
  1.8658
3
CISD             1.8702
3
  1.8668
3
Quadratic configuration interaction QCISD             1.9101
3
  1.9086
3
QCISD(T)             1.9312
3
  1.9292
3
QCISD(T)=FULL             1.9260
3
  1.9242
3
Coupled Cluster CCD             1.9006
3
  1.8993
3
CCSD             1.9077
3
  1.9063
3
CCSD=FULL             1.9024
3
  1.9019
3
CCSD(T)             1.9298
3
  1.9270
3
CCSD(T)=FULL             1.9248
3
  1.9235
3
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.