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Comparison of levels of theory for N-I


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 1.9269
3
PM3 1.9044
3
PM6 1.9048
4

average calculated bond lengths (Å)
Methods with standard basis sets
STO-3G 3-21G 3-21G* 6-311G*
hartree fock HF 2.1197
4
2.1072
4
2.1002
4
2.0684
3
density functional LSDA 2.2255
4
2.2726
1
2.2726
1
2.1423
3
BLYP 2.2755
4
2.3187
4
2.2598
4
2.2309
3
B1B95 2.2073
4
2.1429
3
2.1807
4
2.1289
3
B3LYP 2.2303
4
2.2617
4
2.2158
4
2.1694
3
B3LYPultrafine 2.2094
3
2.2632
4
  2.1694
3
B3PW91 2.2228
4
2.2321
4
2.1970
4
2.1483
3
mPW1PW91 2.2113
4
2.2175
4
2.1843
4
2.1351
3
M06-2X 2.1832
4
2.1906
4
2.1641
4
2.1145
3
PBEPBE 2.2585
4
2.2778
4
2.2274
4
2.1937
3
PBEPBEultrafine 2.2327
3
2.2859
4
  2.1937
3
PBE1PBE 2.2099
4
2.1459
3
2.1828
4
2.1335
3
HSEh1PBE 2.2036
4
2.2230
4
2.1891
4
2.1401
3
TPSSh 2.2366
4
2.2585
4
2.2102
4
2.1647
3
wB97X-D 2.2030
4
2.1970
4
2.1722
4
2.1215
3
B97D3 2.2700
4
2.2987
4
2.2471
4
2.2077
3
STO-3G 3-21G 3-21G* 6-311G*
Moller Plesset perturbation MP2 2.2621
4
2.3607
4
2.2916
4
2.1756
3
MP2=FULL 2.2621
4
2.3589
4
2.2896
4
2.1758
3
MP3 2.1974
3
    2.1192
3
MP3=FULL 2.1972
3
2.2323
4
2.2120
4
2.1188
3
MP4 2.2314
3
2.4289
4
   
MP4=FULL 2.2313
3
2.4289
4
   
B2PLYP 2.2382
4
2.2896
4
2.2385
4
2.1779
3
B2PLYP=FULL 2.2382
4
2.2891
4
2.2377
4
2.1780
3
B2PLYP=FULLultrafine 2.2373
4
2.2891
4
2.2370
4
2.1780
3
Configuration interaction CID 2.1997
3
2.2141
4
2.1789
4
2.0894
3
CISD 2.2006
3
2.2228
4
2.1806
4
2.0917
3
STO-3G 3-21G 3-21G* 6-311G*
Quadratic configuration interaction QCISD 2.2301
3
2.2807
4
2.2321
4
2.1569
3
QCISD(T) 2.2327
3
    2.1845
3
QCISD(T)=FULL 2.2326
3
     
Coupled Cluster CCD 2.2275
3
2.2701
4
2.2297
4
2.1353
3
CCSD 2.2307
3
    2.1507
3
CCSD=FULL 2.2306
3
    2.1492
3
CCSD(T) 2.2347
3
    2.1819
3
CCSD(T)=FULL 2.2345
3
     
STO-3G 3-21G 3-21G* 6-311G*

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 2.1066
4
  2.1072
4
  2.1018
4
2.1122
4
2.0474
3
  2.1124
4
density functional LSDA             2.1086
3
  2.1481
4
BLYP             2.1951
3
  2.2404
4
B1B95             2.1002
3
  2.1493
4
B3LYP 2.2549
4
  2.2533
4
  2.2472
4
2.2568
4
2.1380
3
  2.1858
4
B3LYPultrafine             2.1380
3
  2.1858
4
B3PW91             2.1164
3
  2.1636
4
mPW1PW91             2.1046
3
  2.1523
4
M06-2X             2.0895
3
  2.1403
4
PBEPBE             2.1575
3
  2.2028
4
PBEPBEultrafine             2.1575
3
  2.2028
4
PBE1PBE             2.1027
3
  2.1500
4
HSEh1PBE             2.1085
3
  2.1566
4
TPSSh             2.1329
3
  2.1812
4
wB97X-D 2.2084
4
  2.2079
4
  2.2034
4
2.2107
4
2.0935
3
  2.1419
4
B97D3             2.1731
3
  2.2216
4
Moller Plesset perturbation MP2 2.3549
4
  2.3476
4
  2.3441
4
2.3553
4
2.1256
3
  2.3936
1
MP2=FULL             2.1213
3
  2.1741
4
MP3             2.0786
3
  2.1338
4
MP3=FULL             2.0751
3
  2.1279
4
MP4             2.1612
3
  2.2138
4
MP4=FULL             2.1560
3
  2.2061
4
B2PLYP             2.1392
3
  2.1866
4
B2PLYP=FULL             2.1380
3
  2.1849
4
B2PLYP=FULLultrafine             2.1380
3
  2.1843
4
Configuration interaction CID             2.0549
3
  2.0957
4
CISD             2.0563
3
  2.0965
4
Quadratic configuration interaction QCISD             2.1033
3
  2.3114
1
QCISD(T)             2.1289
3
  2.1769
4
QCISD(T)=FULL             2.1245
3
  2.3562
1
Coupled Cluster CCD             2.0901
3
  2.1379
4
CCSD             2.0999
3
  2.1423
4
CCSD=FULL             2.0955
3
  2.1358
4
CCSD(T)             2.1275
3
  2.1752
4
CCSD(T)=FULL             2.1231
3
  2.1686
4
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.