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

For BeO (beryllium oxide)

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 -0.000428 -0.002557 -0.002557 -0.001873 -0.007095 -0.007095 -0.007529 -0.033915 -0.033915 -0.013217 -0.030386 -0.003348 -0.020635 -0.052169 -0.005609 -0.026925 -0.053239
MP3=FULL         -0.007296   -0.016774                    
MP4=FULL   -0.002712     -0.006884       -0.035841     -0.002973 -0.020879   -0.004782 -0.027667  
Coupled Cluster CCSD=FULL         -0.007172           -0.032379 -0.003222 -0.020970 -0.055001 -0.005911 -0.028324 -0.056226
CCSD(T)=FULL         -0.007166           -0.032501 -0.003212 -0.021142 -0.055425 -0.005699 -0.028366 -0.056620
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