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

For CH3 (Methyl radical)

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 cc-pVDZ cc-pVTZ cc-pVQZ aug-cc-pVDZ aug-cc-pVTZ aug-cc-pVQZ cc-pCVTZ daug-cc-pVDZ daug-cc-pVTZ
Moller Plesset perturbation MP2=FULL -0.000316 -0.001523 -0.001523 -0.001189 -0.004281 -0.004828 -0.004876 -0.018045 -0.018435 -0.005984 -0.021296 -0.016722 -0.002449 -0.015149 -0.027855 -0.002681 -0.017314 -0.028253 -0.047335 -0.002708 -0.017775
MP3=FULL         -0.004272   -0.008432         -0.017598 -0.002351 -0.015696         -0.049329    
MP4=FULL   -0.001475     -0.004269       -0.019320       -0.002328 -0.015775   -0.002560 -0.018138   -0.049629    
B2PLYP=FULL -0.000095 -0.000457 -0.000457 -0.000355 -0.001267 -0.001424 -0.001438 -0.005161 -0.005280 -0.001750 -0.006124 -0.004790 -0.000729 -0.004394   -0.000798 -0.005011   -0.013438 -0.000806 -0.005140
Quadratic configuration interaction QCISD(T)=FULL         -0.004259   -0.004847           -0.002313 -0.015736   -0.002545 -0.018098   -0.049561    
QCISD(TQ)=FULL         -0.004261   -0.004848           -0.002312   -0.029338 -0.002543 -0.018096 -0.029767 -0.049552    
Coupled Cluster CCSD=FULL         -0.004218                 -0.015606 -0.029096 -0.002509 -0.017955 -0.029519 -0.049272    
CCSD(T)=FULL         -0.004260             -0.017660 -0.002313 -0.015735 -0.029339 -0.002544 -0.018097 -0.029768 -0.049554    
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 cc-pVDZ cc-pVTZ cc-pVQZ aug-cc-pVDZ aug-cc-pVTZ aug-cc-pVQZ cc-pCVTZ daug-cc-pVDZ daug-cc-pVTZ