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Energy differences between frozen core and all electrons correlated.
MP2, MP3, MP4, B2PLYP, CCSD, and CCSD(T)

For Li (Lithium atom)

Energies in Hartree
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 Sadlej_pVTZ
Moller Plesset perturbation MP2=FULL -0.000256 -0.000295 -0.000295 -0.000284 -0.000486 -0.000486 -0.000544 -0.012878 -0.012878 -0.001153 -0.013259 -0.013259 -0.012800 -0.000193 -0.011187 -0.014647 -0.000208 -0.011266 -0.014726 -0.011187 -0.029009 -0.037169 -0.013997
MP3=FULL         -0.000497   -0.000559                                
MP4=FULL -0.000308 -0.000149 -0.000329 -0.000317 -0.000355 -0.000508 -0.000570 -0.015161 -0.015161 -0.001205 -0.015501 -0.015501 -0.014762 -0.000216 -0.013118 -0.017023 -0.000232 -0.013372 -0.017112        
B2PLYP=FULL   -0.000101     -0.000161   -0.000180                                
Coupled Cluster CCSD=FULL -0.000311 -0.000150 -0.000150 -0.000166 -0.000356 -0.000356 -0.000410 -0.015045 -0.015214 -0.001206 -0.015553 -0.015553 -0.014822 -0.000217 -0.013348 -0.017080 -0.000233 -0.013433 -0.017169        
CCSD(T)=FULL -0.000311 -0.000151 -0.000151 -0.000166 -0.000509 -0.000357 0.000162 -0.015060 -0.015230 -0.001209 -0.015570 -0.015570 -0.014828 -0.000217 -0.013363 -0.017106 -0.000233 -0.013448 -0.017195 -0.013195 -0.033582 -0.041540  
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 Sadlej_pVTZ