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

For BAl (Boron Aluminum)

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 cc-pV(T+d)Z aug-cc-pV(T+d)Z
Moller Plesset perturbation MP2=FULL -0.007363 -0.005837 -0.011673 -0.004708 -0.013795 -0.013795 -0.015191 -0.142590 -0.142590 -0.021473 -0.086879 -0.006412 -0.073983 -0.059941 -0.007282 -0.077761 -0.064735 -0.113549 -0.117388
MP3=FULL         -0.013665   -0.015084       -0.088198 -0.006134 -0.074312         -0.114110 -0.117990
MP4=FULL   -0.005644     -0.013803       -0.144287     -0.006194 -0.076037   -0.007084 -0.079887   -0.116474 -0.120386
B2PLYP=FULL -0.002500 -0.001869 -0.003673 -0.001484 -0.004252 -0.004252 -0.004685 -0.041979 -0.041979 -0.006529 -0.025977 -0.002017 -0.022381   -0.002281 -0.023436   -0.034072 -0.035139
Quadratic configuration interaction QCISD(T)=FULL         -0.013552             -0.006061 -0.078035   -0.006915 -0.079174   -0.115438 -0.119251
QCISD(TQ)=FULL         -0.013502   -0.014945         -0.006015 -0.077546 -0.060954 -0.006850 -0.078868 -0.065589    
Coupled Cluster CCSD=FULL         -0.013100         -0.020104 -0.087926 -0.005801 -0.073709 -0.059802 -0.006631 -0.077450 -0.064386 -0.112957 -0.116760
CCSD(T)=FULL         -0.013549           -0.089412 -0.006048 -0.077268 -0.061182 -0.008667 -0.079103 -0.065847 -0.115357 -0.119170
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 cc-pV(T+d)Z aug-cc-pV(T+d)Z