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

For AlH2+ (aluminum dihydride cation)

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 aug-cc-pVTZ
Moller Plesset perturbation MP2=FULL -0.007621 -0.004424 -0.009210 -0.003347 -0.008156 -0.008465 -0.009637 -0.124096 -0.124516 -0.013759 -0.004697 -0.065021 -0.071359
MP3=FULL         -0.008182   -0.010419            
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 aug-cc-pVTZ