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Geometry Comparison

CN (Cyano radical)


distance is atom 1 (C) to atom 2 (N)

Experimental bond length is 1.172  Å

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Calculated bond length in Å
Methods with predefined basis sets
semi-empirical AM1 1.149
PM3 1.157
PM6 1.131
composite G2 1.162
G3 1.162
G3B3 1.174
G3MP2 1.162
G4 1.169
CBS-Q 1.161

Calculated bond length 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-pCVDZ cc-pCVTZ cc-pCVQZ daug-cc-pVDZ daug-cc-pVTZ
hartree fock HF 1.235 1.180 1.180 1.193 1.162 1.162 1.161 1.154 1.154 1.155 1.149 1.151 1.162 1.150 1.148 1.162 1.150 1.148 1.161 1.149 1.148 1.162 1.150
ROHF   1.145 1.145 1.151 1.137 1.137 1.137 1.131 1.131 1.133 1.128 1.128 1.139 1.129 1.127 1.139 1.129 1.127 1.138 1.128 1.127 1.139 1.129
density functional LSDA 1.219 1.184 1.184 1.190 1.178 1.178 1.178 1.168 1.168 1.174   1.167 1.179 1.166   1.178 1.165   1.178 1.165 1.164    
BLYP 1.230 1.194 1.194 1.200 1.187 1.187 1.187 1.178 1.178 1.182 1.175 1.176 1.188 1.175   1.187 1.175   1.187 1.174 1.174 1.187 1.175
B1B95 1.209 1.178 1.178 1.183 1.170 1.170 1.170 1.162 1.162 1.166 1.159 1.160 1.171 1.160   1.170 1.159   1.170 1.159 1.158 dnf 1.159
B3LYP 1.215 1.182 1.182 1.188 1.174 1.174 1.174 1.166 1.166 1.169 1.162 1.163 1.175 1.163 1.161 1.174 1.162 1.161 1.174 1.162 1.161 1.174 1.162
B3LYPultrafine   1.182     1.174 1.174 1.174 1.166   1.169 1.162 1.163 1.175 1.163   1.174 1.162   dnf dnf dnf 1.174 1.162
B3PW91 1.213 1.182 1.182 1.186 1.173 1.173 1.173 1.165 1.165 1.169 1.161 1.162 1.174 1.162   1.173 1.162   1.173 1.161 1.161 1.173 1.162
mPW1PW91 1.209 1.179 1.179 1.183 1.170 1.170 1.169 1.162 1.162 1.166 1.159 1.160 1.171 1.160   1.170 1.159   1.170 1.159 1.158 1.170 1.159
M06-2X 1.200 1.173 1.173 1.175 1.163 1.163 1.163 1.155 1.155 1.158 1.152 1.153 1.164 1.153   1.163 1.152   1.163 1.152 1.151 1.163 1.152
PBEPBE 1.226 1.194 1.194 1.199 1.185 1.185 1.185 1.178 1.178 1.181 1.174 1.175 1.187 1.175   1.185 1.175   1.186 1.174 1.173 1.185 1.174
PBEPBEultrafine   1.194     1.185 1.185 1.185 1.178   1.181 1.174 1.175 1.187 1.175   1.185 1.175   dnf dnf dnf 1.185 1.174
PBE1PBE 1.208 1.180 1.180 1.184 1.171 1.171 1.170 1.163 1.163 1.167 1.160 1.161 1.172 1.161   1.171 1.160   1.171 1.160 1.159 1.171 1.160
HSEh1PBE 1.209 1.179 1.179 1.184 1.170 1.170 1.170 1.163 1.163 1.166 1.160 1.160 1.172 1.160   1.171 1.160   1.171 1.159 1.159 1.170 1.160
TPSSh 1.217 1.188 1.188 1.192 1.178 1.178 1.178 1.170 1.170 1.173 1.167 1.168 1.179 1.167 1.166 1.178 1.167 1.166 1.178 1.166 1.166 1.178 1.167
wB97X-D 1.210 1.178 1.178 1.183 1.170 1.170 1.170 1.162 1.162 1.166 1.158 1.159 1.172 1.159 1.157 1.170 1.158 1.157 1.170 1.158 1.157 1.170 1.158
B97D3 1.226 1.192 1.192 1.197 1.183 1.183 1.183 1.175 1.175 1.179 1.172 1.173 1.184 1.172 1.170 1.183 1.172 1.171 1.183 1.171 1.170 1.183 1.172
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 daug-cc-pVDZ daug-cc-pVTZ
Moller Plesset perturbation MP2 1.158 1.141 1.141 1.147 1.135 1.135 1.136 1.130 1.130 1.129 1.125 1.127 1.139 1.126 1.123 1.139 1.126 1.123 1.138 1.125 1.123 1.138 1.126
MP2=FULL 1.158 1.141 1.141 1.146 1.135 1.135 1.135 1.129 1.129 1.127 1.124 1.126 1.138 1.124 1.121 1.138 1.123 1.121 1.137 1.124 1.121 1.138 1.123
ROMP2 1.273 1.234 1.234 1.240 1.207 1.207 1.206 1.199 1.199 1.198   1.193 1.212 1.193   1.212              
MP3         1.139   1.139       1.128 1.129 1.142 1.129         1.141 1.128 1.125 1.142 1.128
MP3=FULL   1.146 1.146 1.153 1.138 1.138 1.138 1.133 1.133 1.130 1.127 1.129 1.142 1.127   1.142 1.125   1.141 1.126 1.123 1.141 1.125
MP4   1.153     1.147     1.141 1.141     1.137 1.150 1.137   1.150 1.137            
MP4=FULL   1.153     1.146       1.140       1.150 1.135   1.150 1.134            
B2PLYP 1.215 1.193 1.193 1.197 1.184 1.184 1.184 1.177 1.177 1.179 1.172 1.173 1.186 1.173   1.186 1.173   1.185 1.172 1.171 1.185 1.173
B2PLYP=FULL 1.215 1.193 1.193 1.197 1.183 1.183 1.183 1.176 1.176 1.178 1.172 1.173 1.186 1.172   1.185 1.171   1.185 1.172 1.170 1.185 1.171
B2PLYP=FULLultrafine 1.215 1.193 1.193 1.197 1.183 1.183 1.183 1.176 1.176 1.178 1.172 1.173 1.186 1.172   1.185 1.171   dnf dnf dnf 1.185 1.171
Configuration interaction CID   1.149 1.149 1.156 1.141     1.135     1.129   1.144 1.130         1.143 1.129 1.126 1.144 1.129
CISD   1.171 1.171 1.179 1.156     1.149     1.142   1.159 1.143         1.158 1.141 1.138 1.159 1.142
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 daug-cc-pVDZ daug-cc-pVTZ
Quadratic configuration interaction QCISD   1.195 1.195 1.203 1.181 1.181 1.181 1.175 1.175 1.172 1.167 1.170 1.185 1.168   1.185 1.168   1.184 1.167 1.163 1.185 1.168
QCISD(T)         1.190     1.184       1.179 1.194 1.179   1.194 1.179            
QCISD(T)=FULL         1.189   1.189           1.194 1.175 1.172 1.194 1.173 1.172          
QCISD(TQ)         1.198   1.198           1.203 1.186 1.181 1.203 1.186 1.182          
QCISD(TQ)=FULL         1.197   1.197           1.203 1.182 1.178 1.203 1.180 1.178          
Coupled Cluster CCD   1.148 1.148 1.155 1.141 1.141 1.141 1.135 1.135 1.134 1.129 1.131 1.144 1.130   1.144 1.130   1.143 1.129 1.126 1.144 1.130
CCSD         1.181 1.181 1.181 1.174 1.174 1.172 1.166 1.169 1.185 1.168 1.163 1.185 1.167 1.163 1.184 1.166 1.163 1.184 1.167
CCSD=FULL         1.180     1.174   1.169 1.164 1.168 1.184 1.164 1.160 1.184 1.162 1.160 1.183 1.164 1.160 1.184 1.162
CCSD(T)   1.198     1.186 1.186 1.186 1.180 1.180   1.173 1.175 1.190 1.174 1.170 1.191 1.174 1.170 1.189 1.173      
CCSD(T)=FULL         1.185             1.174 1.190 1.171 1.167 1.190 1.169 1.168 1.189 1.171      
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 daug-cc-pVDZ daug-cc-pVTZ

Calculated bond length 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 1.218 1.184 1.211 1.166 1.206 1.206     1.149
ROHF                 1.128
density functional BLYP                 1.175
B1B95 1.205 1.192             1.159
B3LYP 1.209 1.194 1.202 1.179 1.199 1.199     1.162
B3LYPultrafine                 1.162
B3PW91                 1.162
mPW1PW91                 1.159
M06-2X                 1.152
PBEPBE                 1.174
PBEPBEultrafine                 1.174
PBE1PBE                 1.160
HSEh1PBE                 1.160
TPSSh                 1.167
wB97X-D 1.202 1.187 1.194 1.172 1.193 1.193     1.158
B97D3                 1.172
Moller Plesset perturbation MP2 1.168 1.151 1.156 1.139 1.154 1.154     1.126
MP2=FULL                 1.124
MP3                 1.128
MP3=FULL                 1.126
B2PLYP                 1.172
B2PLYP=FULL                 1.172
B2PLYP=FULLultrafine                 1.172
Configuration interaction CID                 1.129
CISD                 1.142
Quadratic configuration interaction QCISD                 1.167
Coupled Cluster CCD                 1.129
CCSD                 1.166
CCSD=FULL                 1.164
Values that are outliers may reflect incorrect atom numbering for different levels of theory.
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