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Comparison of levels of theory for Li-P


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 2.2884
2
PM3 1.9879
2
PM6 2.1903
2
composite G2 2.3617
2
G3 2.3617
2
G3B3 2.3421
2
G4 2.3218
2
CBS-Q 2.3617
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 2.2715
2
2.4062
2
2.3785
2
2.4112
2
2.3617
2
2.3617
2
2.3666
2
2.3455
2
2.3455
2
2.3385
2
2.3342
2
2.3582
2
2.3522
2
2.3343
2
2.3354
2
2.3541
2
2.3385
2
2.3370
2
2.3519
2
2.3384
2
ROHF   2.4115
1
2.3865
1
2.4129
1
2.3671
1
2.3671
1
2.3707
1
2.3513
1
2.3513
1
  2.3390
1
2.3655
1
2.3577
1
2.3400
1
2.3405
1
2.3573
1
2.3426
1
2.3413
1
2.3549
1
2.3425
1
density functional BLYP 2.1994
2
2.3891
2
2.3725
2
2.3924
2
2.3577
2
2.3577
2
2.3652
2
2.3456
2
2.3456
2
2.3381
2
2.3357
2
2.3600
2
2.3490
2
2.3340
2
  2.3544
2
2.3362
2
  2.3511
2
2.3361
2
B1B95 2.1850
2
2.3594
2
2.3594
2
2.3813
2
2.3421
2
2.3421
2
2.3383
1
2.3266
2
2.3266
2
2.3215
2
2.3162
2
2.3406
2
2.3363
2
2.3154
2
  2.3396
2
2.3180
2
  2.3286
1
2.3104
1
B3LYP 2.1853
2
2.3763
2
2.3579
2
2.3789
2
2.3421
2
2.3421
2
2.3486
2
2.3286
2
2.3286
2
2.3218
2
2.3188
2
2.3419
2
2.3337
2
2.3175
2
2.3168
2
2.3378
2
2.3201
2
2.3180
2
2.3349
2
2.3200
2
B3LYPultrafine   2.3763
2
    2.3420
2
2.3420
2
2.3485
2
2.3285
2
  2.3217
2
2.3188
2
2.3417
2
2.3336
2
2.3174
2
  2.3378
2
2.3200
2
  2.3349
2
2.3200
2
B3PW91 2.1878
2
2.3862
2
2.3671
2
2.3870
2
2.3477
2
2.3477
2
2.3525
2
2.3310
2
2.3310
2
2.3267
2
2.3204
2
2.3458
2
2.3407
2
2.3207
2
  2.3421
2
2.3224
2
  2.3396
2
2.3222
2
mPW1PW91 2.1846
2
2.3834
2
2.3640
2
2.3844
2
2.3448
2
2.3448
2
2.3497
2
2.3275
2
2.3275
2
2.3239
2
2.3168
2
2.3424
2
2.3378
2
2.3171
2
  2.3397
2
2.3189
2
  2.3364
2
2.3188
2
M06-2X 2.1742
2
2.3632
2
2.3436
2
2.3708
2
2.3316
2
2.3316
2
2.3370
2
2.3181
2
2.3181
2
2.3124
2
2.3100
2
2.3308
2
2.3244
2
2.3087
2
  2.3295
2
2.3114
2
  2.3270
2
2.3113
2
PBEPBE 2.1965
2
2.3913
2
2.3744
2
2.3932
2
2.3560
2
2.3560
2
2.3620
2
2.3394
2
2.3394
2
2.3352
2
2.3288
2
2.3550
2
2.3486
2
2.3283
2
  2.3508
2
2.3300
2
  2.3474
2
2.3299
2
PBEPBEultrafine   2.3910
2
    2.3557
2
2.3557
2
2.3617
2
2.3393
2
  2.3350
2
2.3288
2
2.3547
2
2.3483
2
2.3281
2
  2.3505
2
2.3297
2
  2.3474
2
2.3299
2
PBE1PBE 2.1834
2
2.3622
2
2.3622
2
2.3825
2
2.3430
2
2.3430
2
2.3478
2
2.3255
2
2.3255
2
2.3216
2
2.3147
2
2.3399
2
2.3356
2
2.3148
2
  2.3371
2
2.3169
2
  2.3341
2
2.3168
2
HSEh1PBE 2.1847
2
2.3821
2
2.3627
2
2.3838
2
2.3445
2
2.3445
2
2.3495
2
2.3275
2
2.3275
2
2.3231
2
2.3167
2
2.3418
2
2.3369
2
2.3168
2
  2.3385
2
2.3188
2
  2.3355
2
2.3187
2
TPSSh 2.1918
2
2.3915
2
2.3719
2
2.3918
2
2.3521
2
2.3521
2
2.3567
2
2.3343
2
2.3343
2
2.3325
2
2.3242
2
2.3507
2
2.3456
2
2.3249
2
2.3255
2
2.3479
2
2.3268
2
2.3260
2
2.3447
2
2.3267
2
wB97X-D 2.1857
2
2.3988
2
2.3802
2
2.3982
2
2.3600
2
2.3600
2
2.3666
2
2.3463
2
2.3463
2
2.3387
2
2.3352
2
2.3601
2
2.3519
2
2.3337
2
2.3338
2
2.3576
2
2.3374
2
2.3349
2
2.3548
2
2.3373
2
B97D3 2.2215
2
2.4167
2
2.3970
2
2.4186
2
2.3802
2
2.3802
2
2.3858
2
2.3676
2
2.3676
2
2.3618
2
2.3586
2
2.3813
2
2.3710
2
2.3573
2
2.3565
2
2.3758
2
2.3593
2
2.3575
2
2.3723
2
2.3587
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 2.2511
2
2.4116
2
2.3778
2
2.4238
2
2.3508
2
2.3508
2
2.3566
2
2.3297
2
2.3297
2
2.3399
2
2.3377
2
2.3561
2
2.3634
2
2.3375
2
2.3356
2
2.3743
2
2.3447
2
2.3390
2
2.3726
2
2.3445
2
MP2=FULL 2.2491
2
2.4117
2
2.3771
2
2.4232
2
2.3452
2
2.3452
2
2.3505
2
2.3241
2
2.3241
2
2.3112
2
2.3239
2
2.3543
2
2.3591
2
2.3171
2
2.3171
2
2.3375
2
2.3143
2
2.3176
2
2.3253
2
2.3127
2
MP3         2.3469
2
  2.3525
2
      2.3337
2
2.3548
2
2.3636
2
2.3338
2
        2.3739
2
2.3408
2
MP3=FULL   2.4131
2
2.3762
2
2.4277
2
2.3417
2
2.3417
2
2.3468
2
2.3184
2
2.3184
2
2.3057
2
2.3203
2
2.3535
2
2.3595
2
2.3131
2
  2.3355
2
2.3103
2
  2.3209
2
2.3085
2
B2PLYP 2.1890
2
2.3854
2
2.3608
2
2.3917
2
2.3413
2
2.3413
2
2.3473
2
2.3245
2
2.3245
2
2.3242
2
2.3214
2
2.3419
2
2.3397
2
2.3204
2
  2.3461
2
2.3248
2
  2.3437
2
2.3247
2
B2PLYP=FULL 2.1885
2
2.3855
2
2.3605
2
2.3915
2
2.3395
2
2.3395
2
2.3454
2
2.3227
2
2.3227
2
2.3151
2
2.3171
2
2.3413
2
2.3379
2
2.3140
2
  2.3347
2
2.3155
2
  2.3293
2
2.3150
2
B2PLYP=FULLultrafine 2.1886
2
2.3855
2
2.3605
2
2.3915
2
2.3394
2
2.3394
2
2.3453
2
2.3227
2
2.3227
2
2.3151
2
2.3171
2
2.3412
2
2.3379
2
2.3140
2
  2.3347
2
2.3154
2
  2.3292
2
2.3149
2
Configuration interaction CID   2.4147
2
2.3772
2
2.4304
2
2.3464
2
    2.3230
2
    2.3278
2
  2.3609
2
2.3287
2
        2.3678
2
2.3354
2
CISD   2.4204
2
2.3799
2
2.4372
2
2.3486
2
    2.3248
2
    2.3283
2
  2.3623
2
2.3292
2
        2.3683
2
2.3356
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   2.4258
2
2.3831
2
2.4439
2
2.3499
2
2.3499
2
2.3547
2
2.3251
2
2.3251
2
2.3343
2
2.3294
2
2.3586
2
2.3647
2
2.3301
2
  2.3734
2
2.3368
2
  2.3714
2
2.3368
2
Coupled Cluster CCD   2.4182
2
2.3789
2
2.4345
2
2.3465
2
2.3465
2
2.3514
2
2.3223
2
2.3223
2
2.3334
2
2.3287
2
2.3564
2
2.3625
2
2.3295
2
  2.3725
2
2.3368
2
  2.3706
2
2.3367
2
CCSD         2.3494
2
2.3494
2
2.3541
2
2.3246
2
2.3246
2
2.3339
2
2.3292
2
2.3582
2
2.3642
2
2.3300
2
2.3276
2
2.3731
2
2.3369
2
2.3303
2
2.3711
2
2.3368
2
CCSD=FULL         2.3440
2
        2.3025
2
2.3162
2
2.3566
2
2.3600
2
2.3098
2
2.3093
2
2.3327
2
2.3063
2
2.3090
2
2.3169
2
2.3046
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 2.4146
2
2.3693
2
2.3935
2
2.3479
2
2.4214
2
2.4154
2
    2.3330
2
ROHF                 2.3386
1
density functional BLYP                 2.3330
2
B1B95                 2.3139
2
B3LYP 2.4068
2
2.3693
2
2.3883
2
2.3502
2
2.3927
2
2.3826
2
    2.3166
2
B3LYPultrafine                 2.3166
2
B3PW91                 2.3191
2
mPW1PW91                 2.3154
2
M06-2X                 2.3109
2
PBEPBE                 2.3267
2
PBEPBEultrafine                 2.3267
2
PBE1PBE                 2.3133
2
HSEh1PBE                 2.3153
2
TPSSh                 2.3235
2
wB97X-D 2.4026
2
2.3641
2
2.3851
2
2.3446
2
2.4145
2
2.4048
2
    2.3324
2
B97D3                 2.3574
2
Moller Plesset perturbation MP2 2.4361
2
2.3784
2
2.4036
2
2.3482
2
2.4216
2
2.4196
2
    2.3353
2
MP2=FULL                 2.3249
2
MP3                 2.3318
2
MP3=FULL                 2.3221
2
B2PLYP                 2.3190
2
B2PLYP=FULL                 2.3158
2
B2PLYP=FULLultrafine                 2.3157
2
Configuration interaction CID                 2.3271
2
CISD                 2.3276
2
Quadratic configuration interaction QCISD                 2.3286
2
Coupled Cluster CCD                 2.3280
2
CCSD                 2.3285
2
CCSD=FULL                 2.3192
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.