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Comparison of levels of theory for Br-Be


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 1.8970
2
PM3 1.8143
2
PM6 1.9148
2
composite G2 1.9255
2
G3 1.9616
2
G3B3 1.9580
2
G4 1.9536
2
CBS-Q 1.9330
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-pVDZ daug-cc-pVTZ
hartree fock HF 1.8828
2
1.9626
2
1.9342
2
1.9456
2
1.9255
2
1.9255
2
1.9436
2
1.9600
2
1.9600
2
1.9325
2
1.9582
2
1.9681
2
1.9656
2
1.9603
2
1.9579
2
1.9640
2
1.9600
2
1.9580
2
1.9628
2
1.9599
2
density functional BLYP 1.8820
2
1.9583
2
1.9309
2
1.9452
2
1.9268
2
1.9268
2
1.9465
2
1.9620
2
1.9620
2
1.9301
2
1.9599
2
1.9719
2
1.9703
2
1.9611
2
  1.9667
2
1.9607
2
  1.9657
2
1.9607
2
B1B95 1.8723
2
1.9168
2
1.9168
2
1.9287
2
1.9094
2
1.9094
2
1.9276
2
1.9441
2
1.9441
2
1.9162
2
1.9424
2
1.9527
2
1.9516
2
1.9439
2
  1.9485
2
1.9435
2
  1.9471
2
1.9435
2
B3LYP 1.8761
2
1.9492
2
1.9231
2
1.9367
2
1.9175
2
1.9175
2
1.9365
2
1.9521
2
1.9521
2
1.9222
2
1.9503
2
1.9608
2
1.9600
2
1.9518
2
1.9494
2
1.9566
2
1.9513
2
1.9497
2
1.9556
2
1.9513
2
B3LYPultrafine   1.9492
2
    1.9175
2
1.9175
2
1.9365
2
1.9521
2
  1.9222
2
1.9503
2
1.9608
2
1.9600
2
1.9518
2
  1.9566
2
1.9513
2
  1.9556
2
1.9513
2
B3PW91 1.8752
2
1.9486
2
1.9225
2
1.9338
2
1.9149
2
1.9149
2
1.9332
2
1.9500
2
1.9500
2
1.9210
2
1.9480
2
1.9572
2
1.9573
2
1.9497
2
  1.9542
2
1.9491
2
  1.9528
2
1.9491
2
mPW1PW91 1.8734
2
1.9465
2
1.9209
2
1.9318
2
1.9127
2
1.9127
2
1.9309
2
1.9476
2
1.9476
2
1.9191
2
1.9457
2
1.9550
2
1.9549
2
1.9475
2
  1.9519
2
1.9465
2
  1.9507
2
1.9465
2
M06-2X 1.8702
2
1.9517
2
1.9232
2
1.9330
2
1.9134
2
1.9134
2
1.9314
2
1.9470
2
1.9470
2
1.9207
2
1.9456
2
1.9559
2
1.9548
2
1.9477
2
  1.9525
2
1.9465
2
  1.9510
2
1.9465
2
PBEPBE 1.8766
2
1.9532
2
1.9266
2
1.9382
2
1.9194
2
1.9194
2
1.9382
2
1.9548
2
1.9548
2
1.9244
2
1.9536
2
1.9638
2
1.9628
2
1.9544
2
  1.9594
2
1.9540
2
  1.9580
2
1.9540
2
PBEPBEultrafine   1.9532
2
    1.9194
2
1.9194
2
1.9382
2
1.9548
2
  1.9244
2
1.9536
2
1.9638
2
1.9628
2
1.9544
2
  1.9594
2
1.9540
2
  1.9580
2
1.9540
2
PBE1PBE 1.8720
2
1.9204
2
1.9204
2
1.9312
2
1.9118
2
1.9118
2
1.9300
2
1.9465
2
1.9465
2
1.9182
2
1.9449
2
1.9545
2
1.9540
2
1.9465
2
  1.9515
2
1.9465
2
  1.9499
2
1.9465
2
HSEh1PBE 1.8723
2
1.9471
2
1.9216
2
1.9325
2
1.9130
2
1.9130
2
1.9313
2
1.9482
2
1.9482
2
1.9192
2
1.9465
2
1.9562
2
1.9555
2
1.9481
2
  1.9524
2
1.9476
2
  1.9514
2
1.9476
2
TPSSh 1.8754
2
1.9519
2
1.9260
2
1.9361
2
1.9174
2
1.9174
2
1.9359
2
1.9525
2
1.9525
2
1.9229
2
1.9508
2
1.9605
2
1.9603
2
1.9521
2
1.9501
2
1.9574
2
1.9520
2
1.9503
2
1.9558
2
1.9519
2
wB97X-D 1.8760
2
1.9524
2
1.9266
2
1.9355
2
1.9176
2
1.9176
2
1.9362
2
1.9528
2
1.9528
2
1.9241
2
1.9516
2
1.9606
2
1.9598
2
1.9530
2
1.9511
2
1.9568
2
1.9525
2
1.9513
2
1.9556
2
1.9524
2
B97D3 1.8897
2
1.9641
2
1.9334
2
1.9472
2
1.9289
2
1.9289
2
1.9487
2
1.9655
2
1.9655
2
1.9332
2
1.9632
2
1.9734
2
1.9719
2
1.9644
2
1.9622
2
1.9690
2
1.9637
2
1.9623
2
1.9680
2
1.9637
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-pVDZ daug-cc-pVTZ
Moller Plesset perturbation MP2 1.8834
2
1.9608
2
1.9342
2
1.9481
2
1.9223
2
1.9223
2
1.9412
2
1.9513
2
1.9513
2
1.9247
2
1.9541
2
1.9640
2
1.9601
2
1.9465
2
1.9387
2
1.9622
2
1.9457
2
1.9371
2
1.9602
2
1.9452
2
MP2=FULL 1.8833
2
1.9602
2
1.9322
2
1.9456
2
1.9146
2
1.9146
2
1.9337
2
1.9458
2
1.9458
2
1.8968
2
1.9426
2
1.9617
2
1.9566
2
1.9348
2
1.9269
2
1.9588
2
1.9337
2
1.9238
2
1.9563
2
1.9336
2
B2PLYP 1.8784
2
1.9522
2
1.9256
2
1.9392
2
1.9180
2
1.9180
2
1.9368
2
1.9504
2
1.9504
2
1.9222
2
1.9506
2
1.9605
2
1.9586
2
1.9491
2
  1.9574
2
1.9488
2
  1.9561
2
1.9486
2
B2PLYP=FULL 1.8783
2
1.9520
2
1.9250
2
1.9386
2
1.9156
2
1.9156
2
1.9345
2
1.9490
2
1.9490
2
1.9137
2
1.9465
2
1.9598
2
1.9575
2
1.9452
2
  1.9563
2
1.9448
2
  1.9548
2
1.9447
2
B2PLYP=FULLultrafine 1.8783
2
1.9520
2
1.9250
2
1.9386
2
1.9156
2
1.9156
2
1.9345
2
1.9490
2
1.9490
2
1.9137
2
1.9465
2
1.9598
2
1.9575
2
1.9452
2
  1.9563
2
1.9448
2
  1.9548
2
1.9447
2
Configuration interaction CID   1.9607
2
1.9340
2
1.9480
2
1.9212
2
    1.9520
2
    1.9529
2
  1.9601
2
1.9465
2
        1.9584
2
1.9444
2
CISD   1.9620
2
1.9343
2
1.9487
2
1.9214
2
    1.9525
2
    1.9531
2
  1.9605
2
1.9465
2
        1.9588
2
1.9446
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-pVDZ daug-cc-pVTZ
Quadratic configuration interaction QCISD   1.9643
2
1.9370
2
1.9510
2
1.9239
2
1.9239
2
1.9426
2
1.9544
2
1.9544
2
1.9276
2
1.9573
2
1.9687
2
1.9632
2
1.9505
2
  1.9651
2
1.9488
2
  1.9631
2
1.9483
2
QCISD(T)         1.9235
2
    1.9549
2
    1.9585
2
1.9700
2
1.9636
2
1.9509
2
  1.9657
2
1.9500
2
  1.9640
2
1.9496
2
QCISD(T)=FULL         1.9158
2
  1.9351
2
      1.9485
2
  1.9601
2
1.9388
2
1.9315
2
1.9628
2
1.9382
2
1.9290
2
1.9602
2
1.9386
2
Coupled Cluster CCD   1.9617
2
1.9359
2
1.9489
2
1.9228
2
1.9228
2
1.9417
2
1.9529
2
1.9529
2
1.9265
2
1.9562
2
1.9672
2
1.9616
2
1.9494
2
  1.9636
2
1.9477
2
  1.9615
2
1.9473
2
CCSD         1.9234
2
1.9234
2
1.9420
2
1.9538
2
1.9538
2
1.9271
2
1.9569
2
1.9683
2
1.9625
2
1.9501
2
1.9419
2
1.9644
2
1.9484
2
1.9406
2
1.9624
2
1.9479
2
CCSD=FULL         1.9159
2
        1.8989
2
1.9465
2
1.9662
2
1.9592
2
1.9378
2
1.9304
2
1.9612
2
1.9365
2
1.9277
2
1.9587
2
1.9368
2
CCSD(T)         1.9232
2
1.9232
2
1.9424
2
1.9545
2
1.9545
2
1.9278
2
1.9582
2
1.9697
2
1.9632
2
1.9506
2
1.9433
2
1.9653
2
1.9497
2
1.9420
2
1.9636
2
1.9493
2
CCSD(T)=FULL         1.9155
2
          1.9480
2
1.9676
2
1.9598
2
1.9386
2
1.9313
2
1.9624
2
1.9379
2
1.9288
2
1.9598
2
1.9383
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-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 1.9818
2
  1.9801
2
  1.9961
2
1.9783
2
1.9559
2
  1.9661
2
density functional LSDA             1.9317
2
   
BLYP             1.9614
2
  1.9681
2
B1B95             1.9434
2
  1.9505
2
B3LYP 1.9862
2
  1.9836
2
  1.9924
2
1.9758
2
1.9511
2
  1.9579
2
B3LYPultrafine             1.9511
2
  1.9579
2
B3PW91             1.9491
2
  1.9553
2
mPW1PW91             1.9465
2
  1.9533
2
M06-2X             1.9477
2
  1.9546
2
PBEPBE             1.9552
2
  1.9613
2
PBEPBEultrafine             1.9552
2
  1.9613
2
PBE1PBE             1.9456
2
  1.9528
2
HSEh1PBE             1.9472
2
  1.9541
2
TPSSh             1.9522
2
  1.9578
2
wB97X-D 1.9755
2
  1.9731
2
  1.9917
2
1.9738
2
1.9525
2
  1.9587
2
B97D3             1.9656
2
  1.9702
2
Moller Plesset perturbation MP2 1.9939
2
  1.9842
2
  1.9964
2
1.9811
2
1.9421
2
  1.9613
2
MP2=FULL             1.9327
2
  1.9576
2
MP3             1.9448
2
   
MP3=FULL             1.9350
2
   
MP4             1.9465
2
   
MP4=FULL             1.9360
2
   
B2PLYP             1.9465
2
  1.9581
2
B2PLYP=FULL             1.9436
2
  1.9570
2
B2PLYP=FULLultrafine             1.9436
2
  1.9570
2
Configuration interaction CID             1.9427
2
  1.9594
2
CISD             1.9429
2
  1.9597
2
Quadratic configuration interaction QCISD             1.9465
2
  1.9656
2
QCISD(T)             1.9465
2
  1.9672
2
QCISD(T)=FULL             1.9365
2
  1.9639
2
Coupled Cluster CCD             1.9451
2
  1.9643
2
CCSD             1.9458
2
  1.9652
2
CCSD=FULL             1.9356
2
  1.9619
2
CCSD(T)             1.9465
2
  1.9669
2
CCSD(T)=FULL             1.9362
2
  1.9635
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.