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

For F- (Fluorine atom anion)

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 daug-cc-pVDZ daug-cc-pVTZ
Moller Plesset perturbation MP2=FULL 0.000000 -0.001825 -0.001825 -0.000992 -0.001902 -0.001902 -0.002224 -0.018729 -0.018729 -0.004518 -0.016970 -0.002063 -0.012303 -0.031075 -0.002164 -0.012677 -0.031104 -0.002207 -0.012806
MP3=FULL         -0.001668   -0.001968       -0.017204 -0.001856 -0.012041         -0.001992 -0.012562
MP4=FULL   -0.001648     -0.001714       -0.018857     -0.001865 -0.012100   -0.001981 -0.012454   -0.002025 -0.012587
B2PLYP=FULL 0.000000 -0.000528 -0.000528 -0.000286 -0.000546 -0.000546 -0.000636 -0.005242 -0.005242 -0.001293 -0.004754 -0.000592 -0.003511   -0.000619 -0.003613   -0.000631 -0.003649
Quadratic configuration interaction QCISD(T)=FULL         -0.001697             -0.001857 -0.012084   -0.001949 -0.012446   -0.001990 -0.012580
QCISD(TQ)=FULL         -0.001693   -0.001989         -0.001856 -0.012087 -0.031647 -0.001946 -0.012468 -0.031682    
Coupled Cluster CCSD=FULL         -0.001677         -0.004280 -0.017190 -0.001845 -0.011991 -0.031412 -0.001932 -0.012341 -0.031395 -0.001974 -0.012474
CCSD(T)=FULL         -0.001696   0.000000       -0.017247 -0.001856 -0.012086 -0.031637 -0.001949 -0.012452 -0.031640 -0.001991 -0.012585
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 daug-cc-pVDZ daug-cc-pVTZ