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

For Mg2- (magnesium diatomic anion)

Energies in Hartree
Methods with standard basis sets
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 aug-cc-pVQZ cc-pV(T+d)Z
Moller Plesset perturbation MP2=FULL -0.007884 -0.013909 -0.005871 -0.011315 -0.012963 -0.013972 -0.253883 -0.256719 -0.017931 -0.007220 -0.037557 -0.059804 -0.060742 -0.037557
MP3=FULL       -0.015873   -0.022942                
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 aug-cc-pVQZ cc-pV(T+d)Z