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Comparison of levels of theory for N-C


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 1.3326
285
PM3 1.3397
264
PM6 1.3515
474
composite G2 1.3279
311
G3 1.3214
302
G3B3 1.3447
475
G3MP2 1.2093
19
G4 1.3410
484
CBS-Q 1.3120
295
molecular mechanics DREIDING 1.4603
6

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) 6-311+G(3df,2pd) TZVP cc-pVDZ cc-pVTZ cc-pVQZ aug-cc-pVDZ aug-cc-pVTZ aug-cc-pVQZ cc-pV(T+d)Z cc-pCVDZ cc-pCVTZ cc-pCVQZ aug-cc-pCVTZ Sadlej_pVTZ daug-cc-pVDZ daug-cc-pVTZ
hartree fock HF 1.3574
460
1.3316
484
1.3312
459
1.3286
459
1.3244
509
1.3198
462
1.3105
332
1.3182
462
1.3198
464
1.3177
466
1.3247
270
1.3096
5
1.3185
500
1.3224
459
1.3159
452
1.2790
137
1.3223
433
1.3141
427
1.2753
121
1.2379
6
1.1939
3
1.1598
11
1.1356
2
1.1582
1
1.4140
8
1.2510
43
1.3332
478
ROHF 1.3225
8
1.2661
41
1.2514
37
1.2573
36
1.2577
40
1.2470
38
1.2430
38
1.2412
38
1.2559
42
1.2675
9
1.1995
15
  1.2387
34
1.2481
38
1.2389
38
1.2449
27
1.2556
40
1.2476
40
1.2369
26
  1.1379
1
1.1400
4
1.1272
1
    1.2008
8
1.1924
8
density functional LSDA 1.3690
247
1.3370
326
1.3263
253
1.3250
252
1.3279
337
1.3262
334
1.3264
334
1.3216
333
1.3229
332
1.3231
334
1.3107
31
  1.3041
146
1.3285
330
1.3209
330
1.4817
1
1.3266
304
1.3185
193
1.4817
1
1.3372
1
1.1697
2
1.1675
9
1.1565
2
1.1785
1
  1.1659
1
1.1542
1
BLYP 1.4095
454
1.3610
458
1.3594
381
1.3584
458
1.3516
528
1.3493
456
1.3494
453
1.3430
383
1.3470
456
1.3463
454
1.2937
86
  1.3284
264
1.3510
449
1.3433
453
  1.3566
288
1.3223
161
  1.3583
1
1.1781
2
1.1764
9
1.1650
2
1.1873
1
  1.2793
43
1.2706
43
B1B95 1.3802
481
1.3467
461
1.3442
484
1.3414
484
1.3307
463
1.3321
484
1.3332
475
1.3282
484
1.3289
486
1.3304
477
1.2780
85
  1.3129
276
1.3333
479
1.3262
480
1.2909
10
1.3374
437
1.3186
305
1.2725
9
1.3387
1
1.1618
2
1.1635
8
1.1503
2
1.1742
1
  1.2655
30
1.2532
42
B3LYP 1.3925
465
1.3493
484
1.3484
460
1.3459
465
1.3378
486
1.3374
465
1.3384
485
1.3329
457
1.3277
338
1.3343
497
1.3433
226
1.3214
5
1.3323
500
1.3390
462
1.3320
451
1.2916
122
1.3340
331
1.3322
489
1.2870
118
1.2616
6
1.1656
2
1.1652
9
1.1530
2
1.1763
1
1.4252
8
1.2671
43
1.2587
43
B3LYPultrafine   1.3204
184
    1.3372
458
1.3130
184
1.3174
215
1.3080
185
  1.2798
73
1.2810
86
1.3228
3
1.3077
212
1.3254
240
1.3263
308
  1.3206
232
1.3278
466
  1.3457
1
1.1656
2
1.1652
9
1.1530
2
1.1763
1
  1.2671
43
1.2587
43
B3PW91 1.3730
327
1.3436
454
1.3436
454
1.3405
458
1.3319
452
1.3317
455
1.3298
382
1.3292
453
1.3218
332
1.3298
454
1.2776
87
  1.3138
270
1.3334
452
1.3262
451
  1.3392
287
1.3145
168
  1.3424
1
1.1649
2
1.1657
9
1.1530
2
1.1770
1
  1.2655
43
1.2575
43
mPW1PW91 1.3703
341
1.3405
453
1.3373
343
1.3383
461
1.3289
450
1.3310
454
1.3286
454
1.3251
455
1.3274
458
1.3271
454
1.2753
87
  1.3105
268
1.3310
449
1.3207
358
  1.3303
381
1.3072
243
  1.3398
1
1.1623
2
1.1637
9
1.1506
2
1.1751
1
  1.2632
43
1.2554
43
M06-2X 1.3586
276
1.3322
278
1.3559
521
1.3287
277
1.3331
485
1.3197
277
1.3195
277
1.3160
278
1.3167
279
1.3173
296
1.3294
369
  1.3146
274
1.3216
274
1.3164
292
  1.3193
248
1.3138
264
  1.3426
1
1.1573
2
1.1611
9
1.1460
2
1.1732
1
  1.2682
41
1.2611
41
PBEPBE 1.3848
330
1.3543
458
1.3470
332
1.3442
333
1.3425
452
1.3424
451
1.3424
454
1.3390
454
1.3407
458
1.3447
447
1.4271
254
1.3282
5
1.3240
268
1.3425
440
1.3373
449
1.3200
9
1.3304
253
1.3240
274
1.3015
8
1.2603
2
1.1772
2
1.1771
9
1.1654
2
1.1885
1
1.4277
8
1.2763
43
1.2684
43
PBEPBEultrafine   1.3314
190
    1.3442
398
1.3209
184
1.3218
189
1.3158
185
  1.2894
73
1.2886
87
1.3291
3
1.3159
212
1.3334
239
1.3258
241
  1.3282
232
1.3214
232
  1.3524
1
1.1772
2
1.1771
9
1.1654
2
1.1885
1
  1.2763
43
1.2684
43
PBE1PBE 1.3703
261
1.3300
248
1.3275
261
1.3247
262
1.3280
476
1.3156
259
1.3149
259
1.3111
260
1.3119
261
1.3128
261
1.2758
87
  1.3094
257
1.3173
256
1.3107
257
  1.3154
238
1.3085
237
  1.3399
1
1.1632
2
1.1659
9
1.1518
2
1.1761
1
  1.2637
43
1.2561
43
HSEh1PBE 1.3657
278
1.3633
484
1.3308
277
1.3287
280
1.3316
483
1.3193
277
1.3320
485
1.3152
278
1.3160
279
1.3166
279
1.2756
87
  1.3140
274
1.3213
274
1.3487
482
  1.3190
248
1.3121
247
  1.3399
1
1.1630
2
1.1643
9
1.1514
2
1.1757
1
  1.2635
43
1.2558
43
TPSSh 1.3610
127
1.3372
230
1.3375
230
1.3342
232
1.3394
506
1.3236
229
1.3396
504
1.3199
229
1.3120
127
1.3603
461
1.2830
87
  1.3152
218
1.3264
227
1.3348
502
1.2747
52
1.3203
218
1.3172
223
1.2748
52
1.3472
1
1.1691
2
1.1698
9
1.1574
2
1.1811
1
  1.2759
41
1.2680
41
wB97X-D 1.3599
150
1.3229
152
1.3540
527
1.3223
151
1.3440
521
1.3134
147
1.3352
518
1.3092
150
1.3414
525
1.3113
151
1.2761
87
  1.3303
520
1.3363
515
1.3396
521
1.2637
55
1.3157
144
1.3394
518
1.2720
56
1.3409
1
1.1622
2
1.1585
3
1.1498
2
1.1747
1
  1.2641
43
1.2585
42
B97D3 1.3690
98
1.3631
488
1.3094
98
1.3139
100
1.3529
488
1.3039
97
1.3531
488
1.2989
97
1.3495
490
1.3014
99
1.3487
523
  1.3465
484
1.3084
94
1.3484
484
1.2817
49
1.3068
94
1.3476
478
1.2832
46
1.3518
1
1.1746
2
1.1706
3
1.1623
2
1.1749
2
  1.2801
41
1.3313
356
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) 6-311+G(3df,2pd) TZVP cc-pVDZ cc-pVTZ cc-pVQZ aug-cc-pVDZ aug-cc-pVTZ aug-cc-pVQZ cc-pV(T+d)Z cc-pCVDZ cc-pCVTZ cc-pCVQZ aug-cc-pCVTZ Sadlej_pVTZ daug-cc-pVDZ daug-cc-pVTZ
Moller Plesset perturbation MP2 1.3843
333
1.3621
486
1.3608
458
1.3606
462
1.3601
512
1.3402
461
1.3423
484
1.3604
506
1.3398
460
1.3317
407
1.2847
86
1.3234
2
1.3354
500
1.3461
460
1.3352
394
1.2825
98
1.3423
328
1.3224
296
1.2709
88
1.3141
4
1.2152
3
1.1891
11
1.1430
2
1.1890
1
1.4294
8
1.2764
42
1.2649
41
MP2=FULL 1.3819
330
1.3573
367
1.3558
353
1.3554
355
1.3465
463
1.3358
382
1.3377
387
1.3363
458
1.3300
334
1.3237
348
1.2817
86
  1.3220
275
1.3414
365
1.3245
364
1.2790
100
1.3327
275
1.3177
273
1.2783
95
1.2607
6
1.2144
3
1.1869
11
1.1409
2
1.1859
3
1.4278
8
1.2753
42
1.2577
42
ROMP2 1.3273
35
1.3081
30
1.2985
33
1.3032
34
1.2825
34
1.2823
34
1.2799
34
1.2762
34
1.2763
34
1.2788
33
1.2511
10
  1.2795
31
1.2886
33
1.2726
30
1.1695
1
1.2863
32
1.1710
1
1.1680
1
    1.1830
4
      1.2595
7
1.2441
7
MP3         1.3351
448
  1.3326
489
1.1547
1
    1.2841
73
  1.3047
201
1.3167
198
1.3041
197
        1.3428
1
1.1507
2
1.1604
9
1.1340
2
1.1604
2
  1.2731
36
1.2411
24
MP3=FULL   1.3395
137
1.3398
137
1.3392
139
1.3359
492
1.3225
136
1.3330
458
1.3199
136
1.3219
137
1.3155
138
1.2820
73
  1.3110
200
1.3234
196
1.3059
195
  1.3299
131
1.3115
102
  1.3377
1
1.1502
2
1.1586
9
1.1321
2
1.1725
1
  1.2665
30
1.2279
22
MP4 1.3376
6
1.3504
278
1.3825
4
1.3388
3
1.3353
281
    1.2499
5
1.3296
257
1.2519
4
1.2956
54
  1.3274
202
1.3344
194
1.3081
203
  1.3345
191
1.3113
154
  1.3528
1
1.1805
1
1.1859
8
1.1641
1
1.1856
2
  1.2760
25
1.2517
26
MP4=FULL   1.3487
212
    1.3221
198
    1.1808
1
1.3231
201
  1.2902
63
    1.3338
202
1.3141
175
  1.3320
193
1.3065
154
    1.1799
1
1.1839
8
1.1619
1
1.1836
2
  1.2753
28
1.2372
20
B2PLYP 1.3723
219
1.3364
220
1.3367
220
1.3368
221
1.3389
429
1.3235
218
1.3242
217
1.3196
219
1.3209
219
1.3216
239
1.2832
87
  1.3183
218
1.3273
215
1.3334
428
  1.3265
213
1.3278
237
  1.3463
1
1.1754
2
1.1722
9
1.1614
2
1.1816
1
  1.2730
43
1.2641
42
B2PLYP=FULL 1.3716
220
1.3360
220
1.3366
220
1.3367
221
1.3227
219
1.3231
218
1.3230
218
1.3192
219
1.3202
220
1.3188
220
1.2838
86
  1.3180
218
1.3269
215
1.3158
214
  1.3261
213
1.3134
207
  1.3452
1
1.1752
2
1.1716
9
1.1607
2
1.1810
1
  1.2727
43
1.2626
41
B2PLYP=FULLultrafine 1.3684
152
1.3325
153
1.3329
153
1.3332
154
1.3736
502
1.3205
151
1.3202
151
1.3162
152
1.3176
153
1.3162
153
1.2823
87
  1.3153
151
1.3771
390
1.3680
390
  1.3249
148
1.3677
386
  1.3452
1
1.1752
2
1.1683
3
1.1607
2
1.3132
6
  1.2727
43
1.2626
41
Configuration interaction CID 1.3923
2
1.3360
335
1.3372
335
1.3362
338
1.3247
378
1.3529
5
1.3535
5
1.3155
330
1.3228
9
1.2308
4
1.2681
83
    1.2848
77
1.2675
72
        1.3346
1
1.1501
2
1.1578
9
1.1328
2
1.1545
2
  1.2594
42
1.2246
27
CISD 1.4384
4
1.3394
340
1.3391
335
1.3380
338
1.3243
377
1.3990
9
1.3541
5
1.3178
331
1.3235
9
1.2315
4
1.2661
84
    1.2856
78
1.2664
74
        1.3352
1
1.1586
2
1.1608
9
1.1395
2
1.1558
2
  1.2612
42
1.2502
32
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) 6-311+G(3df,2pd) TZVP cc-pVDZ cc-pVTZ cc-pVQZ aug-cc-pVDZ aug-cc-pVTZ aug-cc-pVQZ cc-pV(T+d)Z cc-pCVDZ cc-pCVTZ cc-pCVQZ aug-cc-pCVTZ Sadlej_pVTZ daug-cc-pVDZ daug-cc-pVTZ
Quadratic configuration interaction QCISD 1.2957
16
1.3630
403
1.3491
331
1.3480
336
1.3374
369
1.3260
329
1.3271
326
1.3285
347
1.3236
338
1.3184
304
1.2803
82
  1.3207
269
1.3346
326
1.3131
286
  1.3292
241
1.3101
213
  1.2519
2
1.1763
2
1.1718
10
1.1567
2
1.1811
1
  1.2745
42
1.2426
29
QCISD(T)         1.3254
281
  1.3099
2
1.3179
128
1.2912
5
  1.2795
57
  1.3198
227
1.3245
227
1.3100
210
  1.3295
196
1.3121
155
    1.1746
1
1.1782
8
1.1568
1
1.1751
2
  1.2826
37
1.2651
35
QCISD(T)=FULL         1.3132
159
  1.3108
153
1.1711
1
    1.2651
54
    1.3163
147
1.2913
134
1.2465
47
1.3139
136
1.2779
95
1.2277
36
  1.1739
1
1.1769
9
1.1545
1
1.1861
1
  1.2827
33
1.2489
28
QCISD(TQ)         1.2522
32
  1.2509
30
      1.1847
7
    1.2648
26
1.2165
23
1.1928
5
1.2532
22
1.1927
10
1.1682
2
            1.1964
3
1.1520
2
QCISD(TQ)=FULL         1.2518
32
  1.2426
26
      1.1862
5
    1.2699
27
1.2310
16
1.1714
4
1.2358
23
1.1924
8
1.1535
1
            1.1956
3
1.1477
2
Coupled Cluster CCD 1.2933
16
1.3461
328
1.3477
327
1.3455
332
1.3422
397
1.3246
322
1.3261
319
1.3245
328
1.3209
292
1.3153
289
1.2777
86
  1.3188
263
1.3313
317
1.3092
267
  1.3218
229
1.3038
186
  1.3434
1
1.1539
2
1.1647
10
1.1365
2
1.1670
3
  1.2706
40
1.2436
29
CCSD         1.3280
308
1.2797
66
1.2799
68
1.2751
66
1.2801
67
1.3143
184
1.2843
83
  1.3150
228
1.3242
248
1.3119
252
1.2462
64
1.3266
207
1.3046
172
1.2117
32
1.3448
1
1.1754
2
1.1704
10
1.1558
2
1.1793
1
  1.2721
39
1.2465
27
CCSD=FULL         1.3248
257
    1.1680
2
  1.3085
184
1.2700
76
  1.3175
233
1.3285
232
1.3081
240
1.2343
56
1.3319
218
1.2994
171
1.2165
32
1.3392
1
1.1746
2
1.1684
10
1.1531
2
1.1685
4
  1.2689
37
1.2466
27
CCSD(T)   1.1780
2
    1.3229
279
1.3279
135
1.2929
77
1.3149
124
1.2905
83
1.2933
74
1.2823
65
  1.3167
221
1.3251
238
1.3058
223
1.2541
68
1.3300
215
1.3116
156
1.2457
56
1.2578
2
1.2437
2
1.1906
10
1.1563
1
1.1744
2
  1.2748
34
1.2498
31
CCSD(T)=FULL         1.3148
235
    1.1703
1
    1.2792
67
  1.3190
221
1.3208
224
1.3021
199
1.2493
64
1.3285
195
1.2993
137
1.2318
47
  1.2428
2
1.1862
11
1.1539
1
1.1766
6
  1.2711
33
1.2447
32
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) 6-311+G(3df,2pd) TZVP cc-pVDZ cc-pVTZ cc-pVQZ aug-cc-pVDZ aug-cc-pVTZ aug-cc-pVQZ cc-pV(T+d)Z cc-pCVDZ cc-pCVTZ cc-pCVQZ aug-cc-pCVTZ Sadlej_pVTZ 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 1.3470
462
1.3349
457
1.3408
459
1.3289
457
1.3364
458
1.3363
458
1.1277
2
  1.3279
523
ROHF                 1.2084
14
density functional LSDA             1.1599
2
  1.3105
18
BLYP             1.1671
2
  1.2876
73
B1B95 1.3908
193
1.3824
187
1.4393
5
1.4315
5
1.4363
5
1.4363
5
1.1510
2
  1.2676
74
B3LYP 1.3643
460
1.3536
454
1.3597
463
1.3475
456
1.3547
461
1.3551
455
1.1537
2
  1.3430
522
B3LYPultrafine 1.5066
6
1.4859
6
1.5020
6
1.4829
6
1.4942
6
1.4942
6
1.1537
2
  1.2732
74
B3PW91             1.1545
2
  1.2714
74
mPW1PW91             1.1521
2
  1.2691
74
M06-2X             1.1487
2
  1.2691
74
PBEPBE             1.1684
2
  1.3499
522
PBEPBEultrafine             1.1684
2
  1.2843
73
PBE1PBE             1.1533
2
  1.2697
74
HSEh1PBE             1.1530
2
  1.2694
74
TPSSh             1.1592
2
  1.2769
74
wB97X-D 1.3376
149
1.3348
146
1.3328
152
1.3269
146
1.3289
150
1.3291
150
1.1498
2
  1.2697
74
B97D3             1.1648
2
  1.2811
74
Moller Plesset perturbation MP2 1.3846
457
1.3581
454
1.3763
461
1.3521
455
1.3734
460
1.3733
460
1.1761
2
  1.3449
518
MP2=FULL             1.1719
2
  1.2777
72
ROMP2                 1.2306
9
MP3             1.1506
2
  1.2736
67
MP3=FULL             1.1472
2
  1.2776
59
MP4             1.1776
2
  1.3001
29
MP4=FULL             1.1734
2
  1.2811
50
B2PLYP             1.1622
2
  1.2773
74
B2PLYP=FULL             1.1611
2
  1.2766
74
B2PLYP=FULLultrafine             1.1611
2
  1.2766
74
Configuration interaction CID             1.1441
2
  1.2568
70
CISD             1.1454
2
  1.2640
72
Quadratic configuration interaction QCISD             1.1590
2
  1.2762
73
QCISD(T)             1.1672
2
  1.2781
60
QCISD(T)=FULL             1.1633
2
  1.2698
57
QCISD(TQ)                 1.1932
6
QCISD(TQ)=FULL                 1.1869
4
Coupled Cluster CCD             1.1553
2
  1.2729
72
CCSD             1.1577
2
  1.2732
70
CCSD=FULL             1.1540
2
  1.2723
69
CCSD(T)             1.1664
2
  1.2738
61
CCSD(T)=FULL             1.1626
2
  1.2693
60
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.