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

For Mg+ (Magnesium atom cation)

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
Moller Plesset perturbation MP2=FULL                     -0.140989 -0.140989 -0.072830         -0.017423  
MP3=FULL         -0.005757   -0.006196                        
MP4=FULL -0.017650 -0.003721 -0.006310 -0.002794 -0.006007 -0.006007 -0.006469 -0.128819 -0.128819 -0.007201 -0.143704 -0.143704 -0.075591 -0.003179 -0.017585 -0.029780 -0.003384 -0.018723 -0.029941
Coupled Cluster CCSD=FULL -0.016995 -0.003631 -0.006174 -0.002738 -0.005901 -0.005901 -0.006352 -0.128345 -0.128345 -0.007096 -0.142743 -0.142743 -0.074486 -0.003125 -0.017198 -0.029219 -0.003326 -0.018283 -0.029378
CCSD(T)=FULL -0.017606 -0.003719 -0.006317 -0.002794   -0.006018 -0.006480 -0.128772 -0.128772 -0.007217 -0.143679 -0.143679 -0.075342            
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