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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 anion)

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-pVQZ
Moller Plesset perturbation MP2=FULL -0.000540 -0.010433 -0.025762 -0.006161 -0.020896 -0.020896 -0.022215 -0.240685 -0.240685 -0.040253 -0.012869 -0.069125 -0.117866
MP3=FULL         -0.019385   -0.033633            
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-pVQZ