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

For C4 (Carbon tetramer)

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-pV(T+d)Z daug-cc-pVDZ daug-cc-pVTZ
Moller Plesset perturbation MP2=FULL -0.001426 -0.006406 -0.006406 -0.005125 -0.018321 -0.018321 -0.018861 -0.073098 -0.073098 -0.025613 -0.085329 -0.066472 -0.008381 -0.053404 -0.107197 -0.009426 -0.063574   -0.053404 -0.009696 -0.066370
MP3=FULL         -0.018119   -0.018669       -0.088853 -0.069737 -0.007862 -0.054803           -0.009164 -0.068789
MP4=FULL   -0.006096     -0.018087       -0.076337   -0.089562   -0.007770 -0.054920   -0.008807 -0.065905     -0.009073 -0.068965
B2PLYP=FULL -0.000432 -0.001926 -0.001926 -0.001535 -0.005435 -0.005435 -0.005595 -0.020945 -0.020945 -0.007517 -0.024596 -0.019052 -0.002514 -0.015580   -0.002826 -0.018462     -0.002905 -0.019257
Quadratic configuration interaction QCISD(T)=FULL         -0.017970           -0.089285   -0.007673 -0.054654   -0.008699 -0.065608     -0.008963 -0.068668
Coupled Cluster CCSD=FULL         -0.017764         -0.025061 -0.088342 -0.069479 -0.007556 -0.054221 -0.111279 -0.008567 -0.065193 -0.113492   -0.008825 -0.068206
CCSD(T)=FULL         -0.017990           -0.089284 -0.069959 -0.007682 -0.054697 -0.112441 -0.008709 -0.065657     -0.008972 -0.068714
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-pV(T+d)Z daug-cc-pVDZ daug-cc-pVTZ