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

For S2+ (sulfur diatomic cation)

Energies in Hartree
Methods with standard basis sets
STO-3G 3-21G* 6-31G 6-31G* 6-31G** 6-31+G** 6-311G* 6-311G** 6-31G(2df,p) cc-pVDZ cc-pVTZ cc-pVQZ aug-cc-pVQZ cc-pV(D+d)Z cc-pV(T+d)Z aug-cc-pV(T+d)Z
Moller Plesset perturbation MP2=FULL -0.001334 -0.026286 -0.006409 -0.021436 -0.021437 -0.022780 -0.240959 -0.240959 -0.041197 -0.013175 -0.070146 -0.118593 -0.119712 -0.108221 -0.200937 -0.205125
MP3=FULL       -0.019940   -0.023972                    
Coupled Cluster CCSD(T)=FULL                           8.810221 -0.199192  
STO-3G 3-21G* 6-31G 6-31G* 6-31G** 6-31+G** 6-311G* 6-311G** 6-31G(2df,p) cc-pVDZ cc-pVTZ cc-pVQZ aug-cc-pVQZ cc-pV(D+d)Z cc-pV(T+d)Z aug-cc-pV(T+d)Z