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Comparison of levels of theory for Al-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 2.2640
1
PM3 2.4115
1
PM6 2.2914
1
composite G2 2.3082
1
G3 2.3355
1
G3B3 2.3447
1
G4 2.3366
1
CBS-Q 2.3080
1

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 2.2777
1
2.4217
1
2.2808
1
2.4197
1
2.3082
1
2.3082
1
2.3230
1
2.3315
1
2.3315
1
2.3040
1
2.3272
1
2.3403
1
2.3585
1
2.3355
1
2.3291
1
2.3718
1
2.3365
1
2.3293
1
2.3715
1
2.3364
1
density functional BLYP 2.2882
1
2.4298
1
2.2987
1
2.4266
1
2.3369
1
2.3369
1
2.3541
1
2.3633
1
2.3633
1
2.3251
1
2.3559
1
2.3699
1
2.3820
1
2.3632
1
  2.3937
1
2.3638
1
  2.3934
1
2.3635
1
B1B95 2.2669
1
2.2664
1
2.2664
1
2.3934
1
2.2965
1
2.2965
1
2.3092
1
2.3181
1
2.3181
1
2.2908
1
2.3140
1
2.3265
1
2.3434
1
2.3221
1
  2.3526
1
2.3225
1
  2.3522
1
2.3223
1
B3LYP 2.2778
1
2.4135
1
2.2825
1
2.4111
1
2.3171
1
2.3171
1
2.3325
1
2.3412
1
2.3412
1
2.3069
1
2.3347
1
2.3485
1
2.3631
1
2.3422
1
2.3361
1
2.3738
1
2.3429
1
2.3362
1
2.3735
1
2.3427
1
B3LYPultrafine   2.4137
1
    2.3173
1
2.3173
1
2.3327
1
2.3413
1
  2.3071
1
2.3347
1
2.3481
1
2.3626
1
2.3424
1
  2.3736
1
2.3430
1
  2.3735
1
2.3427
1
B3PW91 2.2723
1
2.4069
1
2.2761
1
2.4018
1
2.3049
1
2.3049
1
2.3181
1
2.3269
1
2.3269
1
2.2970
1
2.3212
1
2.3345
1
2.3518
1
2.3287
1
  2.3604
1
2.3291
1
  2.3600
1
2.3290
1
mPW1PW91 2.2693
1
2.4030
1
2.2725
1
2.3979
1
2.3005
1
2.3005
1
2.3130
1
2.3216
1
2.3216
1
2.2932
1
2.3160
1
2.3296
1
2.3470
1
2.3239
1
  2.3565
1
2.3244
1
  2.3560
1
2.3243
1
M06-2X 2.2714
1
2.4083
1
2.2748
1
2.4033
1
2.3083
1
2.3083
1
2.3227
1
2.3302
1
2.3302
1
2.3030
1
2.3246
1
2.3396
1
2.3551
1
2.3334
1
  2.3654
1
2.3340
1
  2.3650
1
2.3338
1
PBEPBE 2.2764
1
2.4157
1
2.2860
1
2.4099
1
2.3172
1
2.3172
1
2.3313
1
2.3400
1
2.3400
1
2.3082
1
2.3339
1
2.3475
1
2.3634
1
2.3413
1
  2.3730
1
2.3423
1
  2.3726
1
2.3420
1
PBEPBEultrafine   2.4158
1
    2.3174
1
2.3174
1
2.3315
1
2.3402
1
  2.3084
1
2.3339
1
2.3476
1
2.3633
1
2.3415
1
  2.3729
1
2.3424
1
  2.3726
1
2.3420
1
PBE1PBE 2.2679
1
2.2717
1
2.2717
1
2.3973
1
2.2996
1
2.2996
1
2.3121
1
2.3210
1
2.3210
1
2.2925
1
2.3160
1
2.3292
1
2.3463
1
2.3235
1
  2.3560
1
2.3241
1
  2.3556
1
2.3239
1
HSEh1PBE 2.2691
1
2.4058
1
2.2743
1
2.4008
1
2.3028
1
2.3028
1
2.3160
1
2.3248
1
2.3248
1
2.2950
1
2.3191
1
2.3330
1
2.3498
1
2.3270
1
  2.3592
1
2.3275
1
  2.3588
1
2.3274
1
TPSSh 2.2712
1
2.4095
1
2.2781
1
2.4010
1
2.3048
1
2.3048
1
2.3171
1
2.3266
1
2.3266
1
2.2978
1
2.3209
1
2.3343
1
2.3519
1
2.3284
1
2.3229
1
2.3606
1
2.3289
1
2.3230
1
2.3602
1
2.3288
1
wB97X-D 2.2672
1
2.3969
1
2.2687
1
2.3940
1
2.2950
1
2.2950
1
2.3078
1
2.3160
1
2.3160
1
2.2867
1
2.3101
1
2.3246
1
2.3416
1
2.3188
1
2.3117
1
2.3520
1
2.3195
1
2.3117
1
2.3516
1
2.3194
1
B97D3 2.2922
1
2.4280
1
2.2953
1
2.4185
1
2.3271
1
2.3271
1
2.3422
1
2.3537
1
2.3537
1
2.3180
1
2.3467
1
2.3607
1
2.3729
1
2.3537
1
2.3470
1
2.3838
1
2.3543
1
2.3471
1
2.3837
1
2.3540
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
Moller Plesset perturbation MP2 2.2779
1
2.4237
1
2.2700
1
2.4243
1
2.3051
1
2.3051
1
2.3193
1
2.3096
1
2.3096
1
2.2945
1
2.3146
1
2.3226
1
2.3438
1
2.3160
1
2.3058
1
2.3690
1
2.3217
1
2.3081
1
2.3691
1
2.3217
1
MP2=FULL 2.2775
1
2.4236
1
2.2659
1
2.4230
1
2.2984
1
2.2984
1
2.3118
1
2.3058
1
2.3058
1
2.2752
1
2.3028
1
2.3217
1
2.3401
1
2.3051
1
2.2690
1
2.3649
1
2.3046
1
2.2659
1
2.3641
1
2.3000
1
MP3         2.3055
1
  2.3196
1
      2.3153
1
2.3234
1
2.3439
1
2.3176
1
        2.3697
1
2.3229
1
MP3=FULL   2.4266
1
2.2666
1
2.4271
1
2.2994
1
2.2994
1
2.3129
1
2.3070
1
2.3070
1
2.2784
1
2.3067
1
2.3238
1
2.3406
1
2.3084
1
  2.3658
1
2.3078
1
  2.3651
1
2.3030
1
B2PLYP 2.2757
1
2.4154
1
2.2753
1
2.4139
1
2.3090
1
2.3090
1
2.3244
1
2.3267
1
2.3267
1
2.2994
1
2.3247
1
2.3364
1
2.3530
1
2.3303
1
  2.3696
1
2.3329
1
  2.3695
1
2.3328
1
B2PLYP=FULL 2.2755
1
2.4154
1
2.2741
1
2.4135
1
2.3065
1
2.3065
1
2.3221
1
2.3253
1
2.3253
1
2.2938
1
2.3212
1
2.3360
1
2.3517
1
2.3268
1
  2.3682
1
2.3278
1
  2.3678
1
2.3262
1
B2PLYP=FULLultrafine 2.2757
1
2.4152
1
2.2741
1
2.4133
1
2.2459
4
2.3067
1
2.3222
1
2.3255
1
2.3255
1
2.2939
1
2.3213
1
2.3362
1
2.2812
4
2.2594
4
  2.3676
1
2.2593
4
  2.3672
1
2.3263
1
Configuration interaction CID   2.4287
1
2.2714
1
2.4299
1
2.3057
1
    2.3124
1
    2.3150
1
  2.3461
1
2.3181
1
        2.3685
1
2.3219
1
CISD   2.4304
1
2.2718
1
2.4320
1
2.3059
1
    2.3131
1
    2.3160
1
  2.3470
1
2.3185
1
        2.3692
1
2.3221
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
Quadratic configuration interaction QCISD   2.4344
1
2.2728
1
2.4344
1
2.3078
1
2.3078
1
2.3218
1
2.3131
1
2.3131
1
2.2986
1
2.3176
1
2.3261
1
2.3482
1
2.3203
1
  2.3735
1
2.3248
1
  2.3735
1
2.3248
1
Coupled Cluster CCD   2.4298
1
2.2715
1
2.4322
1
2.3068
1
2.3068
1
2.3208
1
2.3116
1
2.3116
1
2.2969
1
2.3160
1
2.3249
1
2.3458
1
2.3190
1
  2.3706
1
2.3237
1
  2.3707
1
2.3237
1
CCSD         2.3070
1
2.3070
1
2.3209
1
2.3123
1
2.3123
1
2.2977
1
2.3168
1
2.3254
1
2.3471
1
2.3196
1
2.3082
1
2.3716
1
2.3241
1
2.3106
1
2.3717
1
2.3241
1
CCSD=FULL         2.3006
1
        2.2796
1
2.3068
1
2.3251
1
2.3435
1
2.3091
1
2.2718
1
2.3677
1
2.3082
1
2.2691
1
2.3670
1
2.3033
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 2.4597
1
  2.4625
1
  2.4673
1
2.4422
1
    2.3302
1
density functional BLYP                 2.3569
1
B1B95                 2.3169
1
B3LYP 2.4618
1
  2.4628
1
  2.4680
1
2.4402
1
    2.3362
1
B3LYPultrafine                 2.3362
1
B3PW91                 2.3234
1
mPW1PW91                 2.3188
1
M06-2X                 2.3298
1
PBEPBE                 2.3359
1
PBEPBEultrafine                 2.3359
1
PBE1PBE                 2.3183
1
HSEh1PBE                 2.3216
1
TPSSh                 2.3234
1
wB97X-D 2.4447
1
  2.4460
1
  2.4523
1
2.4121
1
    2.3129
1
B97D3                 2.3482
1
Moller Plesset perturbation MP2 2.4777
1
  2.4756
1
  2.4691
1
2.4496
1
    2.3102
1
MP2=FULL                 2.3052
1
MP3                 2.3120
1
MP3=FULL                 2.3093
1
B2PLYP                 2.3247
1
B2PLYP=FULL                 2.3231
1
B2PLYP=FULLultrafine                 2.3232
1
Configuration interaction CID                 2.3119
1
CISD                 2.3122
1
Quadratic configuration interaction QCISD                 2.3146
1
Coupled Cluster CCD                 2.3133
1
CCSD                 2.3140
1
CCSD=FULL                 2.3096
1
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.