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

For Li3+ (Lithium trimer 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) TZVP cc-pVDZ cc-pVTZ cc-pVQZ aug-cc-pVDZ aug-cc-pVTZ aug-cc-pVQZ
Moller Plesset perturbation MP2=FULL -0.001263 -0.001015 -0.001015 -0.001045   -0.002256 -0.002422   -0.039019 -0.008731 -0.038679 -0.001152 -0.035444 -0.049103 -0.001527 -0.037018 -0.051129
MP3=FULL         -0.002236   -0.002411       -0.043675 -0.001152 -0.040781        
MP4=FULL   -0.000993     -0.002250       -0.045673     -0.001151 -0.041747   -0.001513 -0.043426  
B2PLYP=FULL -0.000438 -0.000351 -0.000351 -0.000351 -0.000752 -0.000752 -0.000806 -0.011739 -0.011739 -0.002854 -0.011663 -0.000401 -0.010816   -0.000527 -0.011306  
Quadratic configuration interaction QCISD(T)=FULL         -0.002243             -0.001135 -0.041925   -0.001497 -0.043602  
QCISD(TQ)=FULL             -1.087813             -11.117562      
Coupled Cluster CCSD=FULL         -0.002155           -0.044481 -0.001074 -0.041593 -0.056331 -0.001422 -0.043237 -0.058613
CCSD(T)=FULL         -0.002243           -0.044664 -0.001136 -0.041926 -0.056868 -0.001498 -0.043602 -0.059156
STO-3G 3-21G 3-21G* 6-31G 6-31G* 6-31G** 6-31+G** 6-311G* 6-311G** 6-31G(2df,p) TZVP cc-pVDZ cc-pVTZ cc-pVQZ aug-cc-pVDZ aug-cc-pVTZ aug-cc-pVQZ