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

For MgH (magnesium monohydride)

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 daug-cc-pVDZ daug-cc-pVTZ
Moller Plesset perturbation MP2=FULL -0.017031 -0.003705 -0.006253 -0.002747 -0.005866 -0.005946 -0.006362 -0.127503 -0.127603 -0.007795 -0.142099 -0.073071 -0.003372 -0.018455 -0.031017 -0.004091 -0.022135 -0.032272 -0.004310 -0.023771
MP3=FULL         -0.005895   -0.006526       -0.141978 -0.073439 -0.003350 -0.018703         -0.004274 -0.024416
MP4=FULL   -0.003753     -0.006154       -0.128925   -0.144556   -0.003491 -0.019677   -0.004229 -0.023685   -0.004455 -0.025537
B2PLYP=FULL -0.005759 -0.001286 -0.002149 -0.000943 -0.001992 -0.002017 -0.002152 -0.038316   -0.002619 -0.042922 -0.022434 -0.001163 -0.006064   -0.001396 -0.007166   -0.001468 -0.007659
Quadratic configuration interaction QCISD(T)=FULL         -0.006203   -0.006706       -0.144621   -0.003504 -0.019734   -0.004233 -0.023735   -0.004458 -0.025613
QCISD(TQ)=FULL         -0.006188   -0.006688       -0.144539   -0.003495 -0.019643 -0.033325 -0.004219 -0.023640 -0.034617 -0.004442 -0.025520
Coupled Cluster CCSD=FULL         -0.006014         -0.007975 -0.143284 -0.074440 -0.003393 -0.019062 -0.032523 -0.004096 -0.023032 -0.033790 -0.004313 -0.024905
CCSD(T)=FULL         -0.006200           -0.144579 -0.075448 -0.003503 -0.019709 -0.033407 -0.004231 -0.023707 -0.034704 -0.004456 -0.025584
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 daug-cc-pVDZ daug-cc-pVTZ