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

For Ne2+ (Neon diatomic 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 0.000000 -0.003694 -0.003694 -0.001797 -0.002936 -0.002936 -0.003779 -0.037598 -0.037598 -0.006758 -0.034192 -0.004027 -0.025796 -0.064822 -0.004388 -0.027127 -0.065107
MP3=FULL         -0.002592   -0.003428       -0.034534 -0.003662 -0.025216        
MP4=FULL   -0.003359     -0.002695       -0.037736     -0.003707 -0.025318   -0.004073 -0.026700  
B2PLYP=FULL 0.000000 -0.001062 -0.001062 -0.000517 -0.000836 -0.000836 -0.001070 -0.010489 -0.010489 -0.001921 -0.009550 -0.001149 -0.007316   -0.001248 -0.007665  
Quadratic configuration interaction QCISD(T)=FULL         -0.002657             -0.003686 -0.025292   -0.004046 -0.026668  
QCISD(TQ)=FULL         -0.002644   -0.003476         -0.003679 -0.025289 -0.065657 -0.004036 -0.026665 -0.065934
Coupled Cluster CCSD=FULL         -0.002620           -0.034517 -0.003651 -0.025114 -0.065266 -0.003999 -0.026488 -0.065540
CCSD(T)=FULL         -0.002654           -0.034629 -0.003684 -0.025293 -0.065657 -0.004044 -0.026671 -0.065934
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