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

For NaO2 (Sodium superoxide)

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 -0.039634 -0.005149 -0.005789 -0.003786 -0.007940 -0.007940 -0.009223 -0.169065 -0.169065 -0.024839 -0.199183 -0.109825 -0.006205 -0.037926 -0.074209 -0.008799 -0.043926 -0.101693 -0.013725 -0.049585
MP3=FULL         -0.007788   -0.009077       -0.200078 -0.110954 -0.006191 -0.038991         -0.014265 -0.051498
MP4=FULL   -0.004935     -0.007690       -0.171343   -0.203566   -0.005925 -0.039011   -0.008519 -0.045393   -0.014010 -0.051419
B2PLYP=FULL -0.013141 -0.001684 -0.001943 -0.001260 -0.002570 -0.002570 -0.003009 -0.050993 -0.050993 -0.007740 -0.060204 -0.033381 -0.001997 -0.011514   -0.002939 -0.013395   -0.004484 -0.015057
Quadratic configuration interaction QCISD(T)=FULL         -0.007753           -0.203565   -0.005993 -0.039176   -0.008630 -0.045682   -0.014139 -0.051725
Coupled Cluster CCSD=FULL         -0.007695         -0.025505 -0.201449 -0.112232 -0.006020 -0.038808 -0.076696 -0.008671 -0.045362   -0.014096 -0.051285
CCSD(T)=FULL         -0.007761           -0.203497 -0.113771 -0.006006 -0.039190 -0.077398 -0.008651 -0.045711 -0.106469 -0.014156 -0.051752
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