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Calculated Frequencies for Na2 (Sodium diatomic) 1Σg D∞h

19 07 18 15 43
InChI=1S/2Na INChIKey=QXNVGIXVLWOKEQ-UHFFFAOYSA-N


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An R subscript indicates raman activity data is available.
For a comparison of experimental versus calculated see section IV.C.1 Compare vibrational frequencies
Vibrational frequency in cm-1 (unscaled)
Methods with predefined basis sets
semi-empirical AM1 dnf
PM3 186R
PM6 57
composite G2 157R
G3 157R
G3B3 160
G3MP2 157R
G4 159
CBS-Q 157R

Vibrational frequency in cm-1 (unscaled)
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) 6-311+G(3df,2pd) 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 aug-cc-pCVTZ daug-cc-pVDZ daug-cc-pVTZ
hartree fock HF 534R 155R 135R 157R 157R 157R 157R 156R 156R 155R 156R 156R 153R 156R 156R 155R 155R 155R 155R 156 156 156 156R 155R 155R
ROHF                                             156    
density functional LSDA 473 159 306 166 163 163 163 166 166 177 168 168 161 153 165 166 153 165 166 165 165 166 166    
BLYP 458R 155R 287R 155R 154R 154R 154R 155R 155R 153R 157R 155 151R 155R 154R 155 156R 154R 155   153 152 153 157R 153R
B1B95 484R dnf dnf 163R 163R 163R 163R 162R 162R 161R 163R 159 158R 162R 160R 158 162R 161R 160 155 159 157 157 162R 160R
B3LYP 475R 159R 278R 160R 160R 160R 160R 161R 161R 159R 162R 161 157R 161R 160R 162R 161R 160R 162R 158 159 159 159 161R 159R
B3LYPultrafine 475 159R 278 160 160R 160R 160R 161R 161 159R 162R 162 157R 161R 160R 162 161R 160R 162   161 161 159 161R 159R
B3PW91 482R 155 88 158 158 158 158 158 158R 155R 159R 158 154R 158 157 159 158R 157R 160   158 158 158 158R 157R
mPW1PW91 488R 156R 78R 159R 159R 159R 159R 159R 159R 156R 160R 159 156R 159R 158R 160 159R 158R 161 158 159 159 159 159R 158R
M06-2X 498R 179R 265R 181R 178R 178R 178R 178R 178R 184R 180R 185 176R 175R 173R 177 175R 173R 177   175 170 171 175R 172R
PBEPBE 467R 156R 276R 156R 156R 156R 156R 156R 156R 154R 158R 157 153R 156R 155R 157 157R 156R 157 154 156 155 155 158R 155R
PBEPBEultrafine 468 156R 276 156 156R 156R 156R 156R 156 154R 158R 158 153R 156R 155R 158 157R 156R 159   156 156 155 158R 155R
PBE1PBE 488R 261R 261R 160R 160R 160R 160R 160R 160R 158R 161R 161 157R 160R 160R 161 160R 160R 161   160 160 160 161R 160R
HSEh1PBE 486R 155R 261R 158R 158R 158R 158R 158R 158R 156R 159R 158 155R 158R 157R 159 158R 158R 159   157 158 158 158R 157R
TPSSh 480R 155R 101R 153R 153R 153R 153R 153R 153R 150R 154R   150R 154R 153R 156R 154R 153R 156R       157 154R 153R
wB97X-D 495R 136R 133R 172R 174R 174R 174R 174R 174R 170R 173R   165R 172R 176R 178R 172R 176R 179R         172R 176R
B97D3 463R 144R 109R 142R 143R 143R 143R 143R 143R 139R 144R   138R 143R 142R 150R 143R 142R 153R         143R 142R
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) 6-311+G(3df,2pd) 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 aug-cc-pCVTZ daug-cc-pVDZ daug-cc-pVTZ
Moller Plesset perturbation MP2 509R 152R 132R 153R 159R 159R 158R 157R 157R 155R 156R 156 147R 154R 156R 156R 154R 155R 156R 156 155 156 156 154R 156R
MP2=FULL 507R 152R 131R 155R 164R 164R 164R 161R 161R 144R 165R 165 149R 156R 177R 249R 156R 181R dnf   157 165 166 157R 175R
ROMP2                                             156    
MP3   151 129 153 159 159 159 158 158 155 156 156 145 154 156 156 154 156 156   155 156 156    
MP3=FULL         165   165                               165    
MP4   150 128 151 158 158 158 157 157 154 154 154 144 153 154 154 152 154 154   154 155 155    
MP4=FULL 173 150 126 153 164 164 164 161 161 142 163 163 146 155 179 250 154 183 822   157 164 164    
B2PLYP 489R 157R 259R 158R 160R 160R 160R 160R 160R 157R 160R 160 154R 158R 159R 159 158R 159R 159       159 159R 158R
B2PLYP=FULL 488R 157R 265R 158R 161R 161R 161R 161R 161R 156R 164R   154R 157R 167R   157R 168R       161 162 157R 166R
B2PLYP=FULLultrafine 488R 157R 265R 158R 161R 161R 161R 161R 161R 156R 164R   154R 157R 167R   157R 168R           157R 166R
Configuration interaction CID 485 148 126 150 157 157 157 156 156 152 153 153 143 152 153 153 151 153 153   153 153 153 151 153
CISD 483 145 126 146 155   154 153 153 151 152 152 139 150 152 152 149 151 152   151 152 152 149 152
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) 6-311+G(3df,2pd) 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 aug-cc-pCVTZ daug-cc-pVDZ daug-cc-pVTZ
Quadratic configuration interaction QCISD 483 145 126 146 155 155 154 153 153 151 152 152 139 150 152 152 149 151 152 152 151 152 152 149 152
QCISD(T) 483 145 126 146 155 155 154 153 153 151 152 152 139 150 152 152 149 151 152   151 153 152 149 152
QCISD(T)=FULL         160   160       159     152 176 249 151 180 822       160 153 174
QCISD(TQ) 483       dnf       153 dnf dnf 152       152 dnf dnf dnf            
Coupled Cluster CCD 485 148 126 150 157 157 157 156 156 152 153 153 143 152 153 153 151 153 153   153 153 153 151 153
CCSD 483 145 126 146 155 155 154 153 153 151 152 152 139 150 152 152 149 151 152   151 152 152 149 152
CCSD=FULL 490 146 125 147 160 160 160 157 157 141 160 160 141 152 175 247 151 179 dnf   154   161 153 173
CCSD(T) 483 145 126 146 155 155 154 153 153 151 152 152 139 150 152 152 149 151 152 152 151 153 152 149 152
CCSD(T)=FULL 488 146 125 147 160 159 160 156 156 139 159 159 140 152 176 249 151 180 822   153 159 160 153 173
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) 6-311+G(3df,2pd) 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 aug-cc-pCVTZ daug-cc-pVDZ daug-cc-pVTZ

Vibrational frequency in cm-1 (unscaled)
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 150R 151R 153R 153R 154R 157R     155R
density functional LSDA 144 146 148 149 147 166      
BLYP 141 144 147 148 146 153     156R
B1B95 145 148 151 151 150 160     161R
B3LYP 146R 149R 151R 152R 150R 160R     161R
B3LYPultrafine 146 149 151 152 150 160     161R
B3PW91 148 150 152 152 151 157     158R
mPW1PW91 148 150 152 152 151 158     159R
M06-2X 154 145 147 147 136 192     178R
PBEPBE 143 145 148 148 146 155     157R
PBEPBEultrafine 143 145 148 148 146 156     157R
PBE1PBE 148 149 151 151 151 160     160R
HSEh1PBE 146 148 150 150 149 158     158R
TPSSh                 153R
wB97X-D 158R 159R 165R 165R 162R 172R     172R
B97D3                 142R
Moller Plesset perturbation MP2 140R 149R 148R 153R 147R 153R     155R
MP2=FULL 140 149 148 153 147 155     166R
MP3 134 148 146 153 144 153      
MP4 130 147 144 152 141 151      
MP4=FULL 130 147 144 152 141 153      
B2PLYP 141 147 149 152 148 157     159R
B2PLYP=FULL                 163R
B2PLYP=FULLultrafine                 163R
Configuration interaction CID 123 145 143 151 138 150     153
CISD 120 141 139 148 135 146     152
Quadratic configuration interaction QCISD 120 141 139 148 135 146     152
QCISD(T) 120 141 139 148 135 146     152
QCISD(T)=FULL                 161
QCISD(TQ) dnf dnf dnf dnf dnf dnf      
Coupled Cluster CCD 123 145 143 151 138 150     153
CCSD 120 141 139 148 135 146     152
CCSD=FULL 120 141 139 148 135 147     162
CCSD(T) 120 141 139 148 135 146     152
CCSD(T)=FULL 120 141 139 148 135 147     161
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.
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