National Institute of Standards and Technology
Computational Chemistry Comparison and Benchmark DataBase
Release 22May 2022
NIST Standard Reference Database 101
IIntroduction
IIExperimental data
IIICalculated data
IVData comparisons
VCost comparisons
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IXFeedback
XOlder CCCBDB versions
XIIGeometries
XIII Vibrations
XIVReaction data
XVEntropy data
XVIBibliographic data
XVIIIon data
XVIIIBad calculations
XIXIndex of properties
XXH-bond dimers
XXIOddities

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

Comparison of experiment and theory for rCN

Species with coordinate rCN
Species Name
H2NCH2COOH Glycine
CH3CH(NH2)COOH Alanine
NH2CONH2 Urea
CH3CONH2 Acetamide
C6H5NH2 aniline
CH3CSNH2 Ethanethioamide
C4H4N2O2 Uracil
C3H7NO dimethylformamide
CH3NH2 methyl amine
HCN Hydrogen cyanide
CH3CH2NH2 Ethylamine
CH3CN Acetonitrile
CHONH2 formamide
HNCO Isocyanic acid
CH2NOH formaldoxime
N(CH3)3 Trimethylamine
CH3NO2 Methane, nitro-
C(CH3)3NH2 2-Propanamine, 2-methyl-
CH3CH(CH3)CN Propanenitrile, 2-methyl-
C6H5NO2 Nitrobenzene
C6H5CN phenyl cyanide
C2H5CN ethyl cyanide
C3H3N acrylonitrile
C2H8N2 Ethylenediamine
CH3CHNOH Acetaldoxime
C3H2N2 Malononitrile
C4H5N Pyrrole
C5H9N Pentanenitrile
C4H4N2 Succinonitrile
C5H5N Pyridine
C5H11N Piperidine
CHSNH2 thioformamide
HCONHCH3 N-methylformamide
C4H9N Pyrrolidine
CH3NHCH3 Dimethylamine
HNCNH diiminomethane
C2H5N Aziridine
CH2N2 diazirine
C3H4N2 1H-Pyrazole
C3H3NO Isoxazole
C3H4N2 1H-Imidazole
C2H2N2O Furazan
C3H3NO Oxazole
C2H3N3 1H-1,2,4-Triazole
C2H2N2S 1,3,4-Thiadiazole
C2H4O3 trioxolane124
C4H4N2 Pyridazine
C4H4N2 1,3-Diazine
C4H4N2 Pyrazine
C3H3N3 1,3,5-Triazine
CH2NN diazomethane
CF3CN Acetonitrile, trifluoro-
NH2CN cyanamide
CH(CN)3 tricyanomethane
C2N2 Cyanogen
C3H7N Azetidine
BrCN Cyanogen bromide
ClCN chlorocyanogen
ICN Cyanogen iodide
HCNO fulminic acid
CH3NC methyl isocyanide
C4H5N (E)-2-Butenenitrile
C5H9N Propanenitrile, 2,2-dimethyl-
C3H7N Cyclopropylamine
CH3NO nitrosomethane
HCCCN Cyanoacetylene
C4N2 2-Butynedinitrile
FCN Cyanogen fluoride
CH2NCH3 N-methylmethanimine
CH2NH Methanimine
CN Cyano radical
HNCS Isothiocyanic acid
CH3SO2NH2 methanesulfonamide
C2H6N2O2 Dimethylnitroamine
C5H7N Cyclobutanecarbonitrile
C4H5N Cyclopropanecarbonitrile
C4H5NO Isoxazole, 5-methyl-
HNC hydrogen isocyanide
C5H5N Bicyclo[1.1.0]butane-1-carbonitrile
C(CN)4 tetracyanomethane
C4H5NO 3-Methylisoxazole
C2H3NO Nitrosoethylene
ZnCN Zinc monocyanide
The small prefix is the number of bonds with completed calculations.
Click on an entry for a histogram of the difference distribution.
rms differences (calculated - experiment) in Å
Methods with predefined basis sets
semi-empirical AM1 74 0.049
PM3 168 0.048
PM6 135 0.127
composite G2 137 0.117
G3 144 0.114
G3B3 145 0.113
G3MP2 14 0.020
G4 132 0.043
CBS-Q 112 0.129
molecular mechanics DREIDING 6 0.012

rms differences (calculated - experiment) in 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-pV(T+d)Z cc-pCVDZ cc-pCVTZ cc-pCVQZ aug-cc-pCVTZ Sadlej_pVTZ daug-cc-pVDZ daug-cc-pVTZ
hartree fock HF 155 0.116 148 0.119 148 0.116 148 0.120 313 0.131 150 0.108 144 0.110 151 0.107 148 0.108 151 0.107 109 0.026 140 0.112 150 0.108 148 0.108 57 0.027 148 0.108 147 0.109 41 0.026 2 0.031 6 0.014 7 0.024 3 0.027   8 0.016 15 0.021 136 0.046
ROHF   5 0.023 5 0.023 4 0.019 4 0.030 4 0.030 4 0.030 4 0.035 3 0.033 2 0.039 2 0.031 3 0.036 4 0.028 4 0.037 3 0.037 3 0.027 3 0.036 3 0.037   2 0.034 2 0.044 2 0.045     1 0.033 1 0.043
density functional LSDA 42 0.132 65 0.015 48 0.064 43 0.092 66 0.060 65 0.060 65 0.060 63 0.060 63 0.060 63 0.058 2 0.012 20 0.107 65 0.063 65 0.058   65 0.062 37 0.076   1 0.019 3 0.006 4 0.006 3 0.007     1 0.009 1 0.003
BLYP 154 0.152 151 0.130 126 0.135 148 0.133 254 0.041 149 0.117 148 0.118 125 0.127 147 0.117 146 0.116 24 0.010 56 0.074 147 0.119 151 0.115   111 0.056 40 0.082   1 0.002 3 0.015 4 0.002 3 0.002     15 0.015 15 0.006
B1B95 147 0.132 147 0.110 150 0.114 150 0.120 152 0.107 149 0.108 143 0.110 150 0.107 148 0.108 144 0.039 25 0.013 56 0.065 149 0.108 151 0.107 2 0.009 142 0.042 110 0.046 2 0.008 1 0.017 3 0.002 4 0.012 3 0.014     13 0.007 15 0.013
B3LYP 155 0.137 148 0.123 149 0.118 149 0.125 151 0.041 149 0.112 150 0.112 149 0.111 86 0.146 156 0.108 98 0.010 137 0.116 150 0.111 150 0.111 41 0.011 114 0.129 150 0.112 35 0.009 2 0.009 3 0.002 4 0.010 3 0.011   8 0.005 15 0.005 15 0.009
B3LYPultrafine   47 0.089     142 0.042 46 0.073 80 0.055 47 0.071   24 0.008 24 0.010 54 0.068 56 0.069 111 0.046   56 0.069 127 0.043   1 0.010 2 0.002 3 0.009 2 0.011     15 0.005 15 0.009
B3PW91 85 0.174 148 0.121 148 0.117 147 0.123 147 0.041 148 0.110 123 0.121 146 0.110 86 0.144 144 0.110 24 0.010 56 0.066 148 0.110 149 0.109   111 0.048 60 0.061   1 0.014 3 0.001 4 0.009 3 0.011     15 0.006 15 0.010
mPW1PW91 95 0.162 147 0.120 97 0.143 151 0.121 146 0.041 148 0.109 148 0.109 149 0.108 147 0.109 144 0.109 24 0.012 56 0.065 147 0.110 118 0.122   127 0.045 56 0.063   1 0.016 3 0.002 4 0.012 3 0.014     15 0.007 15 0.012
M06-2X 57 0.099 57 0.072 154 0.041 56 0.074 135 0.114 56 0.063 56 0.063 57 0.063 56 0.063 79 0.052 105 0.324 56 0.065 56 0.065 79 0.053   56 0.065 78 0.053   1 0.013 3 0.008 4 0.017 3 0.019     15 0.006 15 0.012
PBEPBE 87 0.183 152 0.125 90 0.153 88 0.166 144 0.045 144 0.115 144 0.116 145 0.114 147 0.113 146 0.197 152 0.161 56 0.070 138 0.118 146 0.113 2 0.004 63 0.068 90 0.053 2 0.005 2 0.006 3 0.013 4 0.003 3 0.002   8 0.004 15 0.014 15 0.006
PBEPBEultrafine   48 0.097     180 0.040 46 0.077 47 0.076 47 0.074   24 0.012 24 0.009 54 0.071 56 0.073 57 0.066   56 0.072 54 0.068   1 0.004 2 0.013 3 0.003 2 0.001     15 0.014 15 0.006
PBE1PBE 57 0.109 56 0.010 57 0.058 57 0.078 132 0.115 56 0.064 56 0.063 57 0.063 56 0.063 56 0.061 24 0.012 56 0.065 56 0.066 57 0.062   56 0.066 56 0.062   1 0.016 3 0.001 4 0.011 3 0.012     15 0.007 15 0.011
HSEh1PBE 57 0.110 135 0.126 57 0.058 57 0.078 138 0.113 56 0.064 134 0.118 57 0.063 56 0.063 56 0.062 24 0.012 56 0.065 56 0.066 135 0.114   56 0.066 56 0.063   1 0.016 3 0.001 4 0.011 3 0.013     15 0.007 15 0.011
TPSSh 28 0.164 56 0.085 56 0.062 55 0.087 143 0.048 54 0.068 142 0.048 55 0.066 27 0.094 124 0.049 24 0.008 54 0.069 54 0.071 143 0.047 18 0.007 54 0.071 54 0.066 18 0.008 1 0.009 3 0.006 4 0.005 3 0.006     15 0.007 15 0.006
wB97X-D 38 0.127 38 0.090 147 0.044 37 0.094 143 0.046 37 0.078 142 0.046 38 0.076 145 0.045 37 0.075 24 0.012 142 0.047 142 0.047 146 0.045 23 0.011 37 0.081 145 0.045 22 0.011 1 0.015 3 0.002 3 0.014 3 0.014     15 0.005 15 0.011
B97D3 25 0.185 135 0.066 27 0.091 26 0.135 134 0.052 25 0.103 133 0.052 26 0.100 133 0.051 25 0.099 141 0.045 133 0.048 25 0.108 134 0.050 16 0.009 25 0.108 132 0.046 16 0.009 1 0.004 3 0.011 3 0.001 3 0.002 1 0.004   15 0.011 98 0.053
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-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 92 0.171 152 0.125 151 0.122 151 0.130 290 0.085 150 0.111 258 0.086 245 0.090 148 0.110 148 0.109 23 0.015 140 0.113 150 0.111 185 0.037 28 0.019 112 0.131 117 0.127 27 0.019 2 0.012 7 0.031 8 0.034 3 0.040   16 0.004 14 0.026 14 0.018
MP2=FULL 89 0.174 121 0.140 98 0.149 97 0.161 192 0.098 123 0.122 124 0.122 150 0.108 86 0.143 108 0.126 23 0.014 55 0.066 118 0.125 140 0.112 28 0.019 73 0.063 86 0.051 26 0.017 2 0.012 7 0.031 8 0.034 3 0.041   8 0.003 14 0.025 14 0.016
ROMP2 2 0.088 1 0.062 2 0.050 1 0.068 1 0.035 1 0.035 1 0.035 1 0.027 1 0.027 1 0.027 1 0.005 1 0.021 1 0.040 1 0.021   1 0.040                    
MP3         144 0.112   137 0.047 1 0.006     19 0.014 49 0.069 49 0.070 50 0.066         1 0.013 3 0.025 4 0.032 3 0.039 1 0.022   10 0.012 9 0.016
MP3=FULL   33 0.099 33 0.077 33 0.103 139 0.046 32 0.082 127 0.048 33 0.080 32 0.082 32 0.079 19 0.015 49 0.069 49 0.070 48 0.067   32 0.087 32 0.081   1 0.018 3 0.026 4 0.033 3 0.041     8 0.013 7 0.021
MP4 4 0.068 80 0.034 3 0.031 4 0.018 81 0.018     9 0.018 55 0.017 4 0.012 11 0.011 45 0.014 40 0.024 53 0.015   44 0.024 40 0.014   1 0.003 1 0.025 2 0.012 1 0.008 1 0.008   6 0.027 8 0.014
MP4=FULL   45 0.031     43 0.018     1 0.020 44 0.017   16 0.009   43 0.024 45 0.012   44 0.023 41 0.011     1 0.024 2 0.010 1 0.006 1 0.006   7 0.024 6 0.007
B2PLYP 53 0.122 54 0.083 54 0.063 53 0.087 151 0.110 52 0.068 52 0.068 53 0.066 51 0.067 75 0.054 24 0.008 52 0.069 52 0.071 146 0.045   52 0.071 83 0.052   1 0.010 3 0.012 4 0.001 3 0.002     15 0.011 15 0.006
B2PLYP=FULL 53 0.122 54 0.083 54 0.063 53 0.087 53 0.067 52 0.068 52 0.068 53 0.066 52 0.067 52 0.064 24 0.008 52 0.069 52 0.071 53 0.065   52 0.071 52 0.065   1 0.011 3 0.012 4 0.002 3 0.003     15 0.011 15 0.007
B2PLYP=FULLultrafine 37 0.141 39 0.097 39 0.073 38 0.101 188 0.532 37 0.080 37 0.080 38 0.078 37 0.079 37 0.076 24 0.008 37 0.081 123 0.661 124 0.652   37 0.084 123 0.653   1 0.011 2 0.012 2 0.002 2 0.003 5 0.003   15 0.011 15 0.007
Configuration interaction CID   87 0.157 87 0.153 87 0.160 122 0.140 3 0.013 3 0.013 90 0.136 5 0.013 4 0.012 22 0.020   25 0.010 23 0.021         1 0.021 3 0.024 4 0.032 3 0.039 1 0.030   13 0.010 11 0.020
CISD 4 0.107 92 0.153 87 0.153 87 0.160 121 0.120 7 0.013 3 0.012 86 0.139 5 0.013 4 0.011 22 0.018   25 0.008 23 0.019         1 0.021 3 0.011 4 0.023 3 0.029 1 0.029   13 0.007 9 0.019
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-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 13 0.380 135 0.136 86 0.159 89 0.166 142 0.113 93 0.140 91 0.142 110 0.126 110 0.126 87 0.140 22 0.008 50 0.069 97 0.137 90 0.049   53 0.070 72 0.055   2 0.008 3 0.012 4 0.004 3 0.008     13 0.013 10 0.005
QCISD(T)         79 0.076   2 0.015 37 0.079 5 0.012   15 0.006 51 0.070 49 0.075 50 0.067   42 0.082 39 0.007     1 0.019 2 0.004 1 0.001 1 0.006   12 0.018 11 0.006
QCISD(T)=FULL         36 0.081   37 0.080 1 0.011     16 0.005   36 0.086 34 0.008 15 0.005 35 0.088 31 0.007 11 0.004   1 0.018 2 0.003 1 0.001     8 0.018 7 0.003
QCISD(TQ)         14 0.015   13 0.015       1 0.003   13 0.019 11 0.011 3 0.006 11 0.020 4 0.009 3 0.006             1 0.020 1 0.004
QCISD(TQ)=FULL         14 0.014   9 0.013       1 0.001   11 0.017 7 0.009 3 0.004 9 0.020 3 0.005 2 0.005             1 0.019 1 0.001
Coupled Cluster CCD 13 0.379 90 0.158 83 0.160 87 0.165 177 0.101 86 0.144 87 0.144 91 0.138 61 0.168 64 0.163 22 0.012 48 0.070 93 0.139 61 0.060   49 0.072 48 0.067   1 0.013 3 0.024 4 0.030 3 0.037 1 0.019   12 0.013 9 0.015
CCSD         100 0.049 21 0.008 21 0.008 27 0.004 25 0.247 62 0.058 23 0.008 53 0.067 52 0.070 75 0.054 20 0.008 49 0.073 65 0.007 8 0.008 1 0.011 3 0.012 4 0.005 3 0.009     12 0.011 10 0.005
CCSD=FULL         78 0.054     2 0.002   62 0.057 20 0.008 53 0.066 53 0.069 77 0.053 16 0.010 48 0.073 64 0.011 8 0.011 1 0.017 3 0.011 4 0.007 3 0.011 1 0.019   10 0.011 9 0.010
CCSD(T)   3 0.022     85 0.054 39 0.078 23 0.102 34 0.082 26 0.094 18 0.109 19 0.005 48 0.071 54 0.071 62 0.060 20 0.005 49 0.076 40 0.007 15 0.005 2 0.006 5 0.017 6 0.003 1 0.000 1 0.006   8 0.019 8 0.005
CCSD(T)=FULL         52 0.068     1 0.010     17 0.005 46 0.073 47 0.076 46 0.007 17 0.005 44 0.079 38 0.006 12 0.005   5 0.016 7 0.001 1 0.002 1 0.009   8 0.018 8 0.003
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-pV(T+d)Z cc-pCVDZ cc-pCVTZ cc-pCVQZ aug-cc-pCVTZ Sadlej_pVTZ daug-cc-pVDZ daug-cc-pVTZ

rms differences (calculated - experiment) in 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 147 0.121 146 0.109 149 0.120 147 0.109 149 0.119 148 0.119 2 0.032   146 0.048
ROHF                 3 0.032
density functional LSDA             2 0.001   3 0.010
BLYP             2 0.008   25 0.010
B1B95 86 0.024 68 0.015 2 0.001 2 0.007 2 0.002 2 0.002 2 0.008   25 0.013
B3LYP 148 0.131 146 0.116 149 0.129 147 0.115 148 0.126 145 0.128 2 0.006   142 0.045
B3LYPultrafine             2 0.006   25 0.009
B3PW91             2 0.005   25 0.010
mPW1PW91             2 0.007   25 0.012
M06-2X             2 0.011   25 0.012
PBEPBE             2 0.009   142 0.046
PBEPBEultrafine             2 0.009   25 0.009
PBE1PBE             2 0.006   25 0.011
HSEh1PBE             2 0.006   25 0.012
TPSSh             2 0.001   25 0.008
wB97X-D 38 0.097 36 0.083 38 0.096 36 0.082 39 0.089 38 0.089 2 0.009   25 0.012
B97D3             2 0.006   25 0.008
Moller Plesset perturbation MP2 150 0.142 146 0.118 152 0.136 146 0.116 152 0.135 152 0.135 2 0.017   141 0.045
MP2=FULL             2 0.013   24 0.014
ROMP2                 1 0.015
MP3             2 0.009   20 0.014
MP3=FULL             2 0.012   20 0.015
MP4             2 0.018   7 0.012
MP4=FULL             2 0.014   15 0.010
B2PLYP             2 0.003   25 0.007
B2PLYP=FULL             2 0.002   25 0.007
B2PLYP=FULLultrafine             2 0.002   25 0.007
Configuration interaction CID             2 0.015   23 0.020
CISD             2 0.014   23 0.018
Quadratic configuration interaction QCISD             2 0.001   23 0.007
QCISD(T)             2 0.008   18 0.005
QCISD(T)=FULL             2 0.004   19 0.004
QCISD(TQ)                 2 0.004
QCISD(TQ)=FULL                 1 0.001
Coupled Cluster CCD             2 0.004   22 0.012
CCSD             2 0.002   21 0.008
CCSD=FULL             2 0.005   22 0.009
CCSD(T)             2 0.007   20 0.005
CCSD(T)=FULL             2 0.003   19 0.003
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.