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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)

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) TZVP cc-pVDZ cc-pVTZ cc-pVQZ aug-cc-pVDZ aug-cc-pVTZ aug-cc-pVQZ
Moller Plesset perturbation MP2=FULL -0.035613 -0.007916 -0.014089 -0.169586 -0.013197 -0.165450 0.136735 -0.257305 -0.257305 -0.163132 -0.147576 -0.007238 -0.038062 -0.061049 -0.007931 -0.041116 -0.061742
MP3=FULL         -0.013126   -0.014335       -0.147911 -0.007132 -0.038260        
MP4=FULL   -0.007789     -0.160347       -0.259453     -0.007331 -0.040130   -0.008045 -0.043461  
Coupled Cluster CCSD=FULL         -0.168269           -0.149301 -0.006818 -0.037419 -0.061530 -0.007463 -0.040584 -0.062204
CCSD(T)=FULL         -0.013287           -0.151614 -0.007191   -0.064117 -0.007892 -0.042879 -0.064844
STO-3G 3-21G 3-21G* 6-31G 6-31G* 6-31G** 6-31+G** 6-311G* 6-311G** 6-31G(2df,p) TZVP cc-pVDZ cc-pVTZ cc-pVQZ aug-cc-pVDZ aug-cc-pVTZ aug-cc-pVQZ