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

For K (Potassium atom)

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) 6-311+G(3df,2p) TZVP Sadlej_pVTZ
Moller Plesset perturbation MP2=FULL -0.013108 -0.000948 -0.002655 -0.000009 -0.000079 -0.000079 -0.000083 -0.106980 -0.106980 -0.000975 -0.129006 -0.032051 -0.117102
MP3=FULL             -0.000264            
B2PLYP=FULL   -0.000318 -0.000893 -0.000003 -0.000024 -0.000024 -0.000025 -0.030329 -0.030329 -0.000291 -0.036715 -0.010116  
Quadratic configuration interaction QCISD(T)=FULL         -0.000077   -0.000080       -0.125726    
Coupled Cluster CCSD=FULL         -0.000093         -0.000957 -0.124657 -0.035603  
CCSD(T)=FULL         -0.000077   0.000000       -0.125712 -0.035969  
STO-3G 3-21G 3-21G* 6-31G 6-31G* 6-31G** 6-31+G** 6-311G* 6-311G** 6-31G(2df,p) 6-311+G(3df,2p) TZVP Sadlej_pVTZ