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

For CO3-- (carbonate)

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) cc-pVDZ cc-pVTZ cc-pV(T+d)Z
Moller Plesset perturbation MP2=FULL -0.000531 -0.007005 -0.007005 -0.004378 -0.012811 -0.012811 -0.013677 -0.074995 -0.074994 -0.030163 -0.008735 -0.052703 -0.052703
MP3=FULL         -0.012153   -0.109106            
Coupled Cluster CCSD(T)=FULL         -0.012180                
STO-3G 3-21G 3-21G* 6-31G 6-31G* 6-31G** 6-31+G** 6-311G* 6-311G** 6-31G(2df,p) cc-pVDZ cc-pVTZ cc-pV(T+d)Z