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Comparison of experiment and theory for rCN

18 10 23 14 56
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 41 0.064
PM3 37 0.092
PM6 78 0.125
composite G2 37 0.160
G3 36 0.162
G3B3 75 0.117
G3MP2 11 0.021
G4 76 0.055
CBS-Q 36 0.162
molecular mechanics DREIDING 4 0.011

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 81 0.121 79 0.122 79 0.117 80 0.122 85 0.107 81 0.109 43 0.149 82 0.109 79 0.110 80 0.109 66 0.027 85 0.108 81 0.110 79 0.111 31 0.028 79 0.111 79 0.111 21 0.027 2 0.031 3 0.016 4 0.025 2 0.029   4 0.017 12 0.021 77 0.056
ROHF   3 0.019 3 0.019 2 0.018 2 0.024 2 0.024 2 0.024 2 0.029 2 0.029 1 0.039 2 0.031 2 0.031 2 0.023 2 0.031 2 0.032 2 0.023 2 0.031 2 0.032   1 0.034 1 0.044 1 0.045     1 0.033 1 0.043
density functional LSDA 28 0.158 37 0.015 29 0.081 29 0.111 41 0.075 39 0.077 39 0.076 40 0.074 37 0.077 37 0.075 2 0.012 13 0.132 39 0.080 39 0.074   39 0.080 21 0.100   1 0.019 2 0.006 3 0.006 2 0.007     1 0.009 1 0.003
BLYP 80 0.165 80 0.138 64 0.140 80 0.140 85 0.063 81 0.120 79 0.122 66 0.132 78 0.122 80 0.118 18 0.011 31 0.098 79 0.123 80 0.119   63 0.072 27 0.100   1 0.002 2 0.014 3 0.002 2 0.001     12 0.014 12 0.006
B1B95 80 0.140 76 0.108 78 0.117 78 0.127 80 0.111 80 0.111 79 0.112 81 0.109 80 0.110 76 0.053 19 0.014 31 0.086 80 0.111 80 0.110 1 0.009 75 0.057 59 0.062 1 0.008 1 0.017 2 0.002 3 0.012 2 0.014     10 0.008 12 0.013
B3LYP 80 0.148 78 0.130 79 0.120 81 0.129 79 0.056 81 0.114 81 0.114 80 0.114 45 0.152 85 0.109 58 0.011 84 0.112 81 0.115 80 0.114 21 0.011 59 0.135 79 0.115 19 0.009 2 0.009 2 0.002 3 0.009 2 0.011   4 0.005 12 0.005 12 0.009
B3LYPultrafine   28 0.115     77 0.057 28 0.093 44 0.074 29 0.091   18 0.008 18 0.010 30 0.091 31 0.092 60 0.062   31 0.092 80 0.054   1 0.010 2 0.002 3 0.009 2 0.011     12 0.005 12 0.009
B3PW91 46 0.186 79 0.126 79 0.118 80 0.128 79 0.055 80 0.112 65 0.125 79 0.113 45 0.149 80 0.111 18 0.011 31 0.088 80 0.113 80 0.112   63 0.064 39 0.075   1 0.014 2 0.001 3 0.009 2 0.011     12 0.007 12 0.010
mPW1PW91 48 0.178 78 0.125 50 0.147 81 0.125 78 0.055 79 0.112 79 0.112 80 0.111 78 0.113 80 0.110 18 0.013 31 0.087 78 0.114 60 0.128   68 0.060 31 0.083   1 0.016 2 0.002 3 0.011 2 0.013     12 0.008 12 0.012
M06-2X 32 0.127 31 0.098 85 0.052 30 0.101 80 0.111 31 0.084 31 0.084 32 0.083 31 0.084 44 0.069 63 0.418 31 0.086 31 0.087 44 0.070   31 0.088 44 0.070   1 0.013 2 0.007 3 0.015 2 0.018     12 0.006 12 0.013
PBEPBE 47 0.198 80 0.132 46 0.159 46 0.176 78 0.060 80 0.117 80 0.117 81 0.115 78 0.117 80 0.246 62 0.252 31 0.093 78 0.119 80 0.115 1 0.004 34 0.092 47 0.073 1 0.005 2 0.006 2 0.013 3 0.003 2 0.001   4 0.004 12 0.013 12 0.006
PBEPBEultrafine   29 0.124     74 0.061 28 0.098 29 0.096 29 0.094   18 0.013 18 0.010 30 0.095 31 0.097 31 0.090   31 0.097 30 0.091   1 0.004 2 0.013 3 0.003 2 0.001     12 0.013 12 0.006
PBE1PBE 32 0.139 30 0.012 31 0.078 31 0.105 81 0.111 31 0.086 31 0.085 32 0.083 31 0.084 31 0.082 18 0.012 31 0.087 31 0.088 31 0.083   31 0.088 31 0.083   1 0.016 2 0.001 3 0.010 2 0.012     12 0.008 12 0.012
HSEh1PBE 32 0.140 80 0.125 31 0.078 31 0.105 77 0.113 31 0.085 80 0.112 32 0.083 31 0.085 31 0.082 18 0.013 31 0.087 31 0.089 80 0.111   31 0.089 31 0.083   1 0.016 2 0.001 3 0.011 2 0.013     12 0.008 12 0.012
TPSSh 21 0.187 31 0.114 31 0.083 30 0.117 84 0.058 30 0.091 84 0.057 31 0.088 20 0.110 77 0.057 18 0.009 30 0.092 30 0.095 84 0.056 13 0.007 30 0.094 30 0.088 13 0.007 1 0.009 2 0.005 3 0.005 2 0.007     12 0.007 12 0.006
wB97X-D 25 0.154 24 0.113 86 0.051 23 0.118 85 0.055 24 0.096 85 0.054 25 0.094 85 0.054 24 0.093 18 0.012 85 0.055 85 0.056 85 0.054 16 0.011 24 0.100 85 0.054 15 0.011 1 0.015 2 0.002 2 0.013 2 0.014     12 0.006 12 0.012
B97D3 19 0.209 82 0.079 20 0.105 19 0.158 81 0.061 19 0.119 81 0.061 20 0.114 81 0.060 19 0.113 84 0.054 81 0.060 19 0.124 81 0.059 13 0.010 19 0.124 80 0.058 13 0.010 1 0.004 2 0.011 2 0.001 2 0.002 1 0.004   12 0.011 60 0.066
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 46 0.188 79 0.132 78 0.126 80 0.136 84 0.068 80 0.114 79 0.115 85 0.066 78 0.113 71 0.117 17 0.016 84 0.110 80 0.115 70 0.057 17 0.016 57 0.138 60 0.136 16 0.016 2 0.012 3 0.029 4 0.025 2 0.035   4 0.003 11 0.026 11 0.018
MP2=FULL 44 0.191 60 0.150 51 0.153 52 0.166 80 0.114 63 0.128 64 0.128 80 0.111 44 0.150 54 0.133 17 0.016 30 0.089 60 0.132 65 0.123 17 0.016 36 0.086 46 0.068 16 0.016 2 0.012 3 0.029 4 0.025 2 0.036   4 0.003 11 0.025 11 0.017
ROMP2 1 0.072   1 0.035               1 0.005                              
MP3         78 0.114   83 0.055 1 0.006     14 0.015 28 0.091 28 0.093 28 0.087         1 0.013 2 0.022 3 0.027 2 0.034 1 0.022   8 0.013 7 0.018
MP3=FULL   21 0.123 21 0.096 21 0.128 82 0.055 21 0.102 78 0.056 22 0.098 21 0.101 21 0.097 14 0.017 28 0.090 28 0.092 26 0.089   21 0.107 20 0.017   1 0.018 2 0.022 3 0.028 2 0.036     7 0.013 6 0.022
MP4 4 0.068 41 0.036 2 0.030 3 0.020 39 0.017     5 0.019 28 0.016 4 0.012 9 0.011 25 0.012 21 0.023 27 0.014   24 0.023 21 0.012   1 0.003 1 0.025 2 0.012 1 0.008 1 0.008   5 0.027 6 0.014
MP4=FULL   23 0.034     22 0.018     1 0.020 23 0.015   11 0.009   22 0.023 23 0.009   23 0.023 21 0.008     1 0.024 2 0.010 1 0.006 1 0.006   6 0.024 5 0.008
B2PLYP 31 0.153 31 0.109 31 0.082 30 0.114 79 0.114 30 0.089 30 0.089 31 0.086 29 0.089 44 0.070 18 0.009 30 0.090 30 0.093 79 0.057   30 0.093 48 0.068   1 0.010 2 0.012 3 0.002 2 0.003     12 0.011 12 0.006
B2PLYP=FULL 31 0.153 31 0.109 31 0.082 30 0.114 30 0.089 30 0.089 30 0.089 31 0.086 30 0.088 29 0.009 18 0.009 30 0.090 30 0.093 30 0.086   30 0.093 30 0.086   1 0.011 2 0.012 3 0.002 2 0.003     12 0.011 12 0.007
B2PLYP=FULLultrafine 24 0.171 25 0.121 25 0.090 24 0.127 83 0.548 24 0.099 24 0.099 25 0.096 24 0.098 24 0.094 18 0.009 24 0.101 67 0.612 67 0.606   24 0.104 67 0.605   1 0.011 2 0.012 2 0.002 2 0.003 3 0.003   12 0.011 12 0.007
Configuration interaction CID   45 0.164 46 0.155 46 0.166 65 0.159 2 0.014 2 0.014 46 0.142 3 0.013 4 0.012 17 0.020   19 0.010 17 0.020         1 0.021 2 0.021 3 0.027 2 0.034 1 0.030   11 0.010 9 0.021
CISD 1 0.107 48 0.160 46 0.155 46 0.167 64 0.123 4 0.013 2 0.013 46 0.142 3 0.012 4 0.011 17 0.018   19 0.009 17 0.017         1 0.021 2 0.010 3 0.020 2 0.026 1 0.029   11 0.007 8 0.018
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 11 0.295 70 0.147 48 0.157 51 0.167 64 0.127 54 0.138 50 0.144 60 0.128 59 0.129 48 0.142 17 0.008 30 0.089 55 0.137 47 0.067   30 0.093 40 0.007   2 0.008 2 0.012 3 0.004 2 0.007     11 0.013 9 0.005
QCISD(T)         44 0.075   2 0.015 21 0.104 5 0.012   13 0.006 29 0.092 27 0.100 26 0.092   24 0.107 21 0.007     1 0.019 2 0.004 1 0.001 1 0.006   10 0.017 9 0.005
QCISD(T)=FULL         21 0.106   22 0.103 1 0.011     12 0.006   22 0.109 19 0.005 10 0.004 21 0.113 17 0.005 8 0.004   1 0.018 2 0.003 1 0.001     7 0.018 6 0.003
QCISD(TQ)         6 0.014   6 0.014       1 0.003   6 0.018 5 0.006 2 0.001 6 0.018 3 0.005 2 0.002             1 0.020 1 0.004
QCISD(TQ)=FULL         6 0.013   5 0.010       1 0.001   5 0.015 4 0.006 2 0.002 4 0.018 2 0.001 1 0.002             1 0.019 1 0.001
Coupled Cluster CCD 11 0.294 49 0.162 46 0.159 50 0.165 72 0.119 50 0.142 46 0.148 51 0.138 37 0.162 38 0.158 17 0.013 29 0.089 53 0.138 37 0.075   29 0.093 28 0.011   1 0.013 2 0.021 3 0.025 2 0.033 1 0.019   10 0.013 8 0.016
CCSD         48 0.069 16 0.008 16 0.008 17 0.005 19 0.200 40 0.072 18 0.008 31 0.087 30 0.091 43 0.070 15 0.008 28 0.095 35 0.007 6 0.009 1 0.011 2 0.012 3 0.005 2 0.008     10 0.011 9 0.006
CCSD=FULL         43 0.072     2 0.002   39 0.072 15 0.009 30 0.088 30 0.091 43 0.070 12 0.011 28 0.095 39 0.011 6 0.011 1 0.017 2 0.011 3 0.007 2 0.011 1 0.019   9 0.010 8 0.010
CCSD(T)   2 0.020     43 0.075 21 0.106 17 0.118 19 0.109 20 0.107 15 0.119 13 0.006 27 0.095 28 0.097 30 0.006 12 0.004 25 0.104 19 0.007 9 0.004 2 0.006 2 0.016 3 0.003 1 0.000 1 0.006   7 0.018 7 0.005
CCSD(T)=FULL         28 0.092     1 0.010     13 0.006 26 0.097 24 0.104 22 0.004 10 0.005 23 0.108 17 0.004 8 0.005   2 0.015 4 0.002 1 0.002 1 0.009   7 0.018 7 0.004
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 79 0.124 78 0.112 79 0.124 78 0.113 79 0.122 79 0.122 2 0.032   86 0.055
ROHF                 3 0.032
density functional LSDA             2 0.001   3 0.010
BLYP             2 0.008   19 0.011
B1B95 53 0.025 51 0.016         2 0.008   19 0.013
B3LYP 79 0.136 78 0.120 80 0.134 78 0.119 79 0.131 77 0.133 2 0.006   85 0.053
B3LYPultrafine             2 0.006   19 0.010
B3PW91             2 0.005   19 0.011
mPW1PW91             2 0.007   19 0.012
M06-2X             2 0.011   19 0.013
PBEPBE             2 0.009   85 0.054
PBEPBEultrafine             2 0.009   19 0.009
PBE1PBE             2 0.006   19 0.012
HSEh1PBE             2 0.006   19 0.012
TPSSh             2 0.001   19 0.008
wB97X-D 24 0.121 22 0.106 24 0.120 22 0.105 25 0.111 24 0.112 2 0.009   19 0.012
B97D3             2 0.006   19 0.009
Moller Plesset perturbation MP2 78 0.149 77 0.122 79 0.144 76 0.121 79 0.141 79 0.141 2 0.017   84 0.053
MP2=FULL             2 0.013   18 0.015
ROMP2                 1 0.015
MP3             2 0.009   15 0.015
MP3=FULL             2 0.012   15 0.016
MP4             2 0.018   6 0.013
MP4=FULL             2 0.014   11 0.010
B2PLYP             2 0.003   19 0.008
B2PLYP=FULL             2 0.002   19 0.008
B2PLYP=FULLultrafine             2 0.002   19 0.008
Configuration interaction CID             2 0.015   18 0.020
CISD             2 0.014   18 0.018
Quadratic configuration interaction QCISD             2 0.001   18 0.008
QCISD(T)             2 0.008   14 0.005
QCISD(T)=FULL             2 0.004   14 0.005
QCISD(TQ)                 2 0.004
QCISD(TQ)=FULL                 1 0.001
Coupled Cluster CCD             2 0.004   17 0.013
CCSD             2 0.002   17 0.008
CCSD=FULL             2 0.005   17 0.009
CCSD(T)             2 0.007   15 0.006
CCSD(T)=FULL             2 0.003   14 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.