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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)

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 cc-pV(T+d)Z cc-pCVDZ cc-pCVTZ Sadlej_pVTZ
Moller Plesset perturbation MP2=FULL -0.000567 -0.000974 -0.000974 -0.001044 -0.003185 -0.003185 -0.003263 -0.014860 -0.014860 -0.002133 -0.015210 -0.015210 -0.012965 -0.000723 -0.005390 -0.019463 -0.000754 -0.006019 -0.019514   -0.031568 -0.040779 -0.012458
MP3=FULL         -0.003200   -0.003339                                
MP4=FULL   -0.000806 -0.000835 -0.000891 -0.003180 -0.003210 -0.003297 -0.016234 -0.016234 -0.002007 -0.016584 -0.016584 -0.014480 -0.000611 -0.005427 -0.021169 -0.000641 -0.006124 -0.021224        
B2PLYP=FULL   -0.000309     -0.000983   -0.001007                                
Coupled Cluster CCSD=FULL   -0.000701 -0.000701 -0.000755 -0.003019 -0.003019 -0.003096 -0.015844 -0.015879 -0.001851 -0.016196 -0.016196 -0.014300 -0.000526 -0.005132 -0.020638 -0.000553 -0.005821 -0.020693        
CCSD(T)=FULL   -0.000727 -0.000727 -0.000781 -0.003159 -0.003159 0.000033 -0.016095 -0.016131 -0.001983 -0.016537 -0.016537 -0.014445 -0.000564 -0.005363 -0.021133 -0.000594 -0.006100 -0.021188 -0.005363 -0.034663 -0.043685  
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 cc-pV(T+d)Z cc-pCVDZ cc-pCVTZ Sadlej_pVTZ