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III.G.1.a.

Comparison of levels of theory for N-N


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 1.1997
8
PM3 1.4649
41
PM6 1.3204
45
composite G2 1.2680
37
G3 1.2762
43
G3B3 1.3706
42
CBS-Q 1.2377
26

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 cc-pCVDZ cc-pCVTZ Sadlej_pVTZ
hartree fock HF 1.3945
43
1.3116
43
1.3115
43
1.2933
43
1.3241
44
1.2759
43
1.3265
43
1.2736
43
1.3242
43
1.3235
43
1.3509
35
1.2907
45
1.2759
43
1.2610
41
1.1963
12
1.2770
43
1.2653
41
1.2161
9
1.1503
5
1.1423
5
1.0846
2
ROHF 1.1479
1
1.1187
3
1.1187
3
1.1329
2
1.1196
5
1.1124
3
1.1120
3
1.1063
3
1.0723
1
1.0720
1
1.1576
1
  1.1119
3
1.1032
3
1.0676
1
1.0793
1
1.0688
1
1.0676
1
     
density functional LSDA 1.4523
43
1.3907
43
1.3906
43
1.3766
43
1.3582
43
1.3581
43
1.3569
43
1.3538
43
1.3539
43
1.3543
43
    1.3578
43
1.3506
43
1.1522
1
1.3569
43
1.1219
2
1.1521
1
     
SVWN   1.3579
38
    1.3469
36
  1.3351
38
                           
BLYP 1.4986
43
1.4262
43
1.3348
26
1.3622
43
1.3387
40
1.3399
43
1.3386
43
1.2958
26
1.3856
43
1.3853
43
    1.3429
42
1.3324
43
  1.4229
31
         
B1B95 1.4737
42
1.3965
42
1.3964
42
1.3800
42
1.3593
42
1.3612
42
1.3606
42
1.3585
42
1.3585
42
1.3580
42
1.1290
1
  1.3612
42
1.3532
42
1.1547
2
1.3585
42
1.2120
9
1.1379
2
     
B3LYP 1.4574
42
1.3540
39
1.3523
43
1.3355
43
1.3654
43
1.3651
43
1.3142
43
1.3120
43
1.2583
14
1.3098
37
1.3992
30
1.3213
45
1.3650
43
1.3018
40
1.2462
9
1.2512
19
1.2111
16
1.2422
9
1.1722
5
1.1618
5
1.1218
2
B3LYPultrafine         1.3770
40
  1.4290
10
                           
B3PW91 1.3375
14
1.3476
43
1.3474
43
1.3294
43
1.3050
41
1.3087
43
1.2713
26
1.3057
43
1.2535
14
1.3559
43
    1.3084
43
1.3027
43
  1.3939
31
         
mPW1PW91 1.3302
14
1.3421
43
1.2811
15
1.3728
43
1.3021
40
1.3570
43
1.3031
43
1.3010
43
1.3513
43
1.3511
43
    1.3035
43
1.2381
20
  1.3850
31
1.0836
1
       
M06-2X         1.3218
43
                               
PBEPBE 1.3645
14
1.4161
43
1.3065
14
1.2975
14
1.3785
43
1.3783
43
1.3771
43
1.3749
43
1.3748
43
1.3736
41
1.3925
33
  1.3847
41
1.3719
43
1.1784
2
1.1102
1
1.2038
10
1.1658
2
    1.1319
2
PBEPBEultrafine         1.4158
34
                               
HSEh1PBE         1.3326
38
                               
Moller Plesset perturbation MP2FC 1.3692
14
1.3886
43
1.3885
43
1.3704
43
1.3773
43
1.3276
43
1.3283
43
1.3206
43
1.3197
40
1.3206
38
  1.3286
45
1.3774
43
1.2899
27
1.1360
4
1.2702
18
1.1904
9
1.1307
4
1.1874
6
1.1734
6
1.1557
2
MP2FU 1.3690
14
1.3209
20
1.3313
15
1.3193
15
1.3746
41
1.2885
25
1.2902
26
1.3191
43
1.2667
14
1.2638
14
    1.2721
20
1.2476
15
1.1334
4
1.2363
13
1.1352
4
1.1383
2
1.1867
6
1.1713
6
 
ROMP2 1.2464
1
1.1564
1
1.1564
1
1.1630
1
1.1530
1
1.1530
1
1.1525
1
1.1473
1
1.1473
1
      1.1561
1
1.1460
1
  1.1597
1
1.1470
1
       
MP3         1.3064
39
                               
MP4 1.2843
2
1.2495
12
    1.2817
19
    1.2795
2
1.2946
13
1.3592
5
      1.2798
10
             
B2PLYP         1.3461
38
  1.3401
39
                           
Configuration interaction CID 1.2891
3
1.2678
14
1.2381
12
1.2288
12
1.2578
25
    1.2114
14
1.1972
3
1.2677
5
                     
CISD 1.2901
3
1.2733
14
1.2436
12
1.2343
12
1.2581
23
    1.2066
12
1.1990
3
1.2694
5
                     
Quadratic configuration interaction QCISD 1.3627
6
1.3406
28
1.2661
12
1.2935
14
1.2720
24
1.2766
16
1.2593
18
1.2472
19
1.2611
20
1.2237
10
    1.2664
16
1.2017
12
  1.1098
1
1.0928
1
       
QCISD(T)         1.2643
15
1.2649
1
1.2638
1
1.2695
3
1.3706
4
1.2575
1
    1.1891
4
1.1755
4
  1.1840
2
1.1666
2
       
Coupled Cluster CCD 1.3461
6
1.2830
14
1.2509
12
1.2768
14
1.3199
26
1.2517
14
1.2514
14
1.2467
16
1.2132
10
1.2106
10
    1.2560
16
1.2181
9
  1.1335
3
1.1181
3
  1.1928
4
1.1790
4
 
CCSD         1.2542
15
1.2557
1
1.2545
1
1.2618
3
1.1908
3
1.2477
1
    1.2553
1
1.2433
1
             
CCSD(T)   1.1400
2
    1.2673
16
1.2447
4
1.1668
4
1.2366
4
1.2853
6
1.2571
1
1.1035
1
  1.2059
11
1.2222
14
1.1456
2
1.1652
7
1.1485
7
1.1369
2
1.1819
6
1.1681
6
 
CCSD(T)=FULL         1.1767
8
    1.1087
1
        1.1764
6
1.1639
5
1.1432
2
1.1177
2
1.1410
3
1.1751
1
1.1811
6
1.1662
6
 

average calculated bond lengths (Å)
Methods with effective core potentials (select basis sets)
CEP-31G CEP-31G* CEP-121G CEP-121G* LANL2DZ SDD
hartree fock HF 1.3120
43
1.2916
43
1.3086
43
1.2845
43
1.3019
43
1.3020
43
density functional B1B95 1.4207
35
1.3987
35
1.2105
1
1.1833
1
1.2061
1
1.2063
1
B3LYP 1.3565
43
1.3323
43
1.3527
43
1.3255
43
1.3438
43
1.3434
42
Moller Plesset perturbation MP2FC 1.4018
43
1.3454
43
1.3946
43
1.3396
43
1.3892
43
1.3894
43
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.