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

For Al2 (Aluminum diatomic)

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** cc-pVDZ cc-pVTZ cc-pVQZ aug-cc-pVDZ aug-cc-pVTZ cc-pCVDZ cc-pCVTZ
Moller Plesset perturbation MP2=FULL -0.109070 -0.021255 -0.006877 -0.019032 -0.019032 -0.021562 -0.251207 -0.250807 -0.009931 -0.128766 -0.064854 -0.008047 -0.133715 -0.400862 -0.626541
MP3=FULL       -0.016472   -0.022381                  
B2PLYP=FULL       -0.020845                      
Coupled Cluster CCSD(T)=FULL       -0.020692         -0.009108 -0.130610   -0.010014 -0.134897 -0.404579 -0.635356
3-21G 3-21G* 6-31G 6-31G* 6-31G** 6-31+G** 6-311G* 6-311G** cc-pVDZ cc-pVTZ cc-pVQZ aug-cc-pVDZ aug-cc-pVTZ cc-pCVDZ cc-pCVTZ