National Institute of Standards and Technology
Computational Chemistry Comparison and Benchmark DataBase
Release 22May 2022
NIST Standard Reference Database 101
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XIXIndex of properties
XXH-bond dimers
XXIOddities

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IV.D.4. (XII.A.2.)

Comparison of experiment and theory for aHCN

Species with coordinate aHCN
Species Name
C3H7NO dimethylformamide
HCN- Hydrogen cyanide anion
HCN Hydrogen cyanide
HCN+ hydrogen cyanide cation
CHONH2 formamide
CH2NOH formaldoxime
N(CH3)3 Trimethylamine
CH3NO2 Methane, nitro-
CH3CHNOH Acetaldoxime
C4H5N Pyrrole
CHSNH2 thioformamide
CH3NHCH3 Dimethylamine
C2H5N Aziridine
C3H4N2 1H-Pyrazole
C3H3NO Isoxazole
C3H3NO Oxazole
C2H3N3 1H-1,2,4-Triazole
C4H4N2 Pyridazine
C4H4N2 1,3-Diazine
C4H4N2 Pyrazine
CH3NC methyl isocyanide
CH3NO nitrosomethane
CH2NH Methanimine
CH2NH+ Methanimine cation
C2H6N2O2 Dimethylnitroamine
The small subscript is the number of angles with completed calculations.
Click on an entry for a histogram of the difference distribution.
rms differences (calculated - experiment) in degrees
Methods with predefined basis sets

rms differences (calculated - experiment) in degrees
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 cc-pCVQZ Sadlej_pVTZ daug-cc-pVDZ daug-cc-pVTZ
hartree fock HF 2.954 2.761 2.761 2.762 2.762 2.762 1.124 2.862 2.762 2.862 3.048 2.762 2.861 2.862 1.032 2.762 2.762 1.219       0.715 0.53 2.862
density functional LSDA 5.115 4.222 4.717 5.115 4.127 4.322 4.322 4.620 4.322 4.222   0.76 4.322 4.322   4.322 0.79       0.01      
BLYP 3.053 2.861 1.651 2.862 2.961 2.862 2.762 1.251 2.861 2.862 0.88 0.915 2.961 2.861   2.950 0.914           1.13 1.13
B1B95 2.961 2.762 2.762 2.862 2.862 2.862 2.762 2.862 2.862 2.959 0.78 0.815 2.862 2.861   2.859 1.141           0.93 0.83
B3LYP 2.953 2.861 2.861 2.862 2.862 2.862 2.762 2.861 1.425 2.862 3.145 2.861 2.961 2.861 1.518 14.745 2.861 0.811       0.715 0.93 0.93
B3LYPultrafine   1.215     2.862 0.915 1.229 0.815   0.98 0.78 0.815 0.916 1.046   0.716 2.862           0.93 0.93
B3PW91 2.025 2.861 2.861 2.862 2.862 2.862 1.052 2.862 1.426 2.862 0.88 0.815 2.962 2.861   3.050 0.833     0.01     0.93 0.93
mPW1PW91 2.025 2.861 1.630 2.861 2.861 2.861 2.861 2.861 2.862 2.862 0.88 0.816 2.961 1.149   2.952 0.716           0.93 0.93
M06-2X 1.115 1.215 2.760 0.916 2.762 0.716 0.616 0.716 0.716 0.735 0.59 0.616 0.715 0.635   0.615 0.635           0.83 0.73
PBEPBE 2.325 2.861 1.926 1.426 2.862 2.962 2.862 2.862 2.862 2.962 0.99 1.015 3.153 2.862   0.916 0.839         0.815 1.23 1.13
PBEPBEultrafine   1.415     2.952 1.015 0.915 1.015   1.18 0.98 1.015 1.116 0.916   0.916 0.916       0.01   1.23 1.13
PBE1PBE 1.215 1.216 1.216 0.916 2.862 0.916 0.816 0.816 0.816 0.816 0.88 0.816 0.916 0.716   0.716 0.716           0.93 0.93
HSEh1PBE 1.215 2.961 1.216 1.016 2.760 0.816 2.762 0.816 0.816 0.816 0.88 0.816 0.916 2.862   0.716 0.716           0.93 0.93
TPSSh 1.48 1.315 1.315 1.015 2.862 0.915 2.862 0.915 0.98 3.055 0.88 0.915 0.915 2.862 0.96 0.815 0.815 0.96         1.03 1.03
wB97X-D 1.313 1.013 2.961 0.913 2.862 0.813 2.855 0.813 2.862 0.813 0.78 2.855 2.855 2.855 0.811 0.713 2.855 0.89 0.01       0.83 0.83
B97D3 1.58 3.157 1.48 1.28 3.057 1.18 2.957 1.18 3.057 1.18 2.952 2.957 1.28 2.957 1.06 0.98 2.950 1.06         1.13 1.07
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 cc-pCVQZ Sadlej_pVTZ daug-cc-pVDZ daug-cc-pVTZ
Moller Plesset perturbation MP2 1.218 2.761 2.761 2.762 12.361 2.761 2.760 12.361 2.761 2.762 0.78 2.761 2.861 1.254 0.612 1.046 14.442 0.612       0.415 1.03 0.93
MP2=FULL 1.218 1.449 1.630 1.330 2.761 1.152 1.051 2.760 1.425 1.242 0.78 0.715 1.249 1.146 0.612 1.223 0.635 0.611 0.01     0.415 1.03 0.93
ROMP2                     0.73                          
MP3         2.858   2.861       0.68 0.615 0.715 0.615                 0.83 0.73
MP3=FULL   1.113 1.113 0.913 2.762 0.713 2.856 0.713 0.713 0.713 0.78 0.615 0.715 0.615   0.613 0.613           0.83 0.73
MP4   1.730 0.81   17.934     1.33 1.620   0.86 0.715 0.813 0.615   0.614 0.614       0.01   1.03 0.93
MP4=FULL   1.414     0.813       0.813   0.78   0.813 0.714   0.614 0.614           1.03 0.93
B2PLYP 1.215 1.216 1.216 0.916 2.759 0.816 0.716 0.815 0.614 0.835 0.78 0.716 0.815 2.954   0.715 0.734           0.93 0.93
B2PLYP=FULL 1.215 1.216 1.216 0.916 0.815 0.816 0.716 0.815 0.716 0.816 0.78 0.716 0.815 0.716   0.715 0.616     0.01     0.93 0.93
B2PLYP=FULLultrafine 1.313 1.213 1.213 0.913 4.817 0.813 0.713 0.813 0.813 0.813 0.78 0.813 0.811 0.78   0.713 0.66           0.93 0.93
Configuration interaction CID   1.430 1.430 1.130 0.950 0.74 0.74 1.129     0.68   0.812 0.68                 0.73 0.73
CISD   1.240 1.430 1.130 0.950 0.614 0.74 1.129     0.68   0.812 0.78             0.01   0.73 0.73
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 cc-pCVQZ Sadlej_pVTZ daug-cc-pVDZ daug-cc-pVTZ
Quadratic configuration interaction QCISD 0.13 1.351 1.530 1.231 1.051 1.140 1.040 1.049 1.041 0.734 0.78 0.615 1.240 0.734   0.616 0.635           0.83 0.83
QCISD(T)         30.426   0.33 0.811 0.23   0.86 0.715 0.813 0.615   0.712 0.613           0.93 0.93
QCISD(T)=FULL         0.911   0.713       0.86   0.811 0.711 0.76 0.711 0.711 0.83 0.01       0.93 0.93
QCISD(TQ)         0.24   0.44           0.24     0.44               0.01
QCISD(TQ)=FULL         0.24   0.34           0.24                      
Coupled Cluster CCD 0.13 1.430 1.430 1.131 1.151 1.230 1.130 1.230 0.618 0.618 0.78 0.615 1.240 0.518   0.616 0.614           0.83 0.73
CCSD         0.738 0.88 0.68 0.88 0.88 0.832 0.78 0.615 0.715 0.734 0.77 0.614 0.633 0.01   0.01     0.83 0.83
CCSD=FULL         0.834         0.833 0.78 0.615 0.715 0.635 0.64 0.616 0.635   0.01       0.83 0.83
CCSD(T)         20.226 0.721 0.69 0.811 0.89 0.88 0.78 0.615 0.813 0.615 0.77 0.712 0.613 0.83         0.93 0.93
CCSD(T)=FULL         0.813           0.86 0.715 0.813 0.614 0.76 0.612 0.69 0.83     0.01   0.93 0.93
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 cc-pCVQZ Sadlej_pVTZ daug-cc-pVDZ daug-cc-pVTZ

rms differences (calculated - experiment) in degrees
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 2.662 2.761 2.662 2.761 2.761 2.761     2.862
density functional BLYP                 0.98
B1B95 3.145 3.145             0.88
B3LYP 2.760 2.860 2.761 2.761 2.861 1.255     2.958
B3LYPultrafine                 0.88
B3PW91                 0.88
mPW1PW91                 0.88
M06-2X                 0.78
PBEPBE                 2.958
PBEPBEultrafine                 1.08
PBE1PBE                 0.88
HSEh1PBE                 0.88
TPSSh                 0.88
wB97X-D 0.813 0.813 0.813 0.813 1.013 1.013     0.88
B97D3                 0.98
Moller Plesset perturbation MP2 2.661 2.760 2.662 2.661 2.761 2.761     2.859
MP2=FULL                 0.78
MP3                 0.68
MP3=FULL                 0.68
MP4                 0.33
MP4=FULL                 0.86
B2PLYP                 0.78
B2PLYP=FULL                 0.78
B2PLYP=FULLultrafine                 0.78
Configuration interaction CID                 0.68
CISD                 0.68
Quadratic configuration interaction QCISD                 0.78
QCISD(T)                 0.78
QCISD(T)=FULL                 0.78
Coupled Cluster CCD                 0.78
CCSD                 0.76
CCSD=FULL                 0.78
CCSD(T)                 0.78
CCSD(T)=FULL                 0.78
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.