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

For C+ (Carbon 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                     -0.018481 -0.018481 -0.015515         -0.008660  
MP3=FULL         -0.003240   -0.003375                        
MP4=FULL -0.000236 -0.001355 -0.001355 -0.001031 -0.003168 -0.003168 -0.003300 -0.017680 -0.017680 -0.003041 -0.019165 -0.019165 -0.016295 -0.001121 -0.008160 -0.024626 -0.001207 -0.008639 -0.024695
Coupled Cluster CCSD=FULL -0.000205 -0.001250 -0.001250 -0.000941 -0.003050 -0.003050 -0.003177 -0.017380 -0.017380 -0.002917 -0.018813 -0.018813 -0.016055 -0.001036 -0.007899 -0.024184 -0.001116 -0.008368 -0.024253
CCSD(T)=FULL -0.000205 -0.001290 -0.001290 -0.000970   -0.003130 -0.003260 -0.017557 -0.017557 -0.003002 -0.019082 -0.019082 -0.016219            
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