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

For HeLi+ (Helium Lithium 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) TZVP cc-pVDZ cc-pVTZ cc-pVQZ aug-cc-pVDZ aug-cc-pVTZ aug-cc-pVQZ daug-cc-pVDZ daug-cc-pVTZ
Moller Plesset perturbation MP2=FULL -0.000234 -0.000218 -0.000218 -0.000191 -0.000439 -0.000452 -0.000501 -0.012515 -0.012570 -0.001126 -0.013008 -0.012760 -0.000143 -0.011059 -0.014326 -0.000227 -0.011832 -0.015330 -0.001466 -0.012536
MP3=FULL         -0.000417   -0.000481       -0.014847 -0.014445 -0.000132 -0.012794         -0.001630 -0.014395
MP4=FULL   -0.000205     -0.000421       -0.014754   -0.015150   -0.000134 -0.013104   -0.000216 -0.013935   -0.001656 -0.014711
B2PLYP=FULL -0.000080 -0.000075 -0.000075 -0.000064 -0.000144 -0.000149 -0.000165 -0.003744 -0.003765 -0.000372 -0.003906 -0.003840 -0.000049 -0.003360   -0.000081 -0.003605   -0.000380 -0.003816
Quadratic configuration interaction QCISD(T)=FULL         -0.000421           -0.015210   -0.000134 -0.013172   -0.000216 -0.014004   -0.001659 -0.014780
Coupled Cluster CCSD=FULL         -0.000421         -0.001143 -0.015204 -0.014788 -0.000133 -0.013167 -0.016633 -0.000215 -0.013995 -0.017790 -0.001655 -0.014770
CCSD(T)=FULL         -0.000421           -0.015210 -0.014789 -0.000134 -0.013172 -0.016643 -0.000216 -0.014004 -0.017804 -0.001659 -0.014780
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 daug-cc-pVDZ daug-cc-pVTZ