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

For SO4-- (sulfate)

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 -0.001198 -0.013084 -0.021005 -0.008056 -0.025130 -0.025130 -0.026922 -0.195682 -0.195682 -0.057229 -0.017156 -0.089494 -0.152988
MP3=FULL         -0.023823   -0.096078            
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