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

For BeMg (Beryllium Magnesium)

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 -0.019462 -0.004923 -0.007917 -0.003999 -0.009772 -0.009772 -0.010313 -0.143535 -0.143535 -0.011714 -0.086794 -0.004348 -0.024844 -0.050197 -0.004763 -0.027655 -0.050708
MP3=FULL         -0.009802   -0.010350       -0.088365 -0.004242 -0.025166        
MP4=FULL   -0.004728     -0.009957       -0.145992     -0.004280 -0.026202   -0.004749 -0.029435  
B2PLYP=FULL -0.006502 -0.001670 -0.002666 -0.001332 -0.003211 -0.003211 -0.003396 -0.043043 -0.043043 -0.003891 -0.026459 -0.001498 -0.008087   -0.001647 -0.008946  
Quadratic configuration interaction QCISD(T)=FULL         -0.009814             -0.004162 -0.025863   -0.004547 -0.029100  
QCISD(TQ)=FULL         -0.009833   -0.010391         -0.004165 -0.025982 -0.053415 -0.004594 -0.029256 -0.053956
Coupled Cluster CCSD=FULL         -0.009385         -0.010333 -0.088974 -0.003936 -0.023875 -0.051411 -0.004272 -0.026666 -0.051854
CCSD(T)=FULL         -0.009812           -0.090288 -0.004160 -0.025805 -0.053406 -0.004544 -0.029027 -0.053969
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