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

For Be+ (Beryllium atom cation)

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) 6-311+G(3df,2pd) TZVP cc-pVDZ cc-pVTZ cc-pVQZ aug-cc-pVDZ aug-cc-pVTZ aug-cc-pVQZ
Moller Plesset perturbation MP2=FULL                     -0.014664 -0.014664 -0.012877         -0.005576  
MP3=FULL         -0.003281   -0.003351                        
MP4=FULL -0.000356 -0.000772 -0.000772 -0.000842 -0.003320 -0.003320 -0.003392 -0.016166 -0.016166 -0.001994 -0.016428 -0.016428 -0.014605 -0.000570 -0.005312 -0.020803 -0.000596 -0.006035 -0.020857
Coupled Cluster CCSD=FULL -0.000357 -0.000774 -0.000774 -0.000845 -0.003325 -0.003325 -0.003396 -0.016185 -0.016185 -0.001995 -0.016446 -0.016446 -0.014633 -0.000572 -0.005344 -0.020820 -0.000598 -0.006042 -0.020874
CCSD(T)=FULL -0.000357 -0.000775 -0.000775 -0.000846   -0.003329 -0.003401 -0.016199 -0.016199 -0.001999 -0.016461 -0.016461 -0.014638            
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) 6-311+G(3df,2pd) TZVP cc-pVDZ cc-pVTZ cc-pVQZ aug-cc-pVDZ aug-cc-pVTZ aug-cc-pVQZ