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

For Si- (Silicon 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) 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 -0.000644 -0.005535 -0.012397 -0.003497 -0.075864 -0.009960 -0.011136 -0.185436 -0.124066 -0.017863 -0.164429 -0.032507 -0.005398 -0.053391 -0.042093 -0.005926 -0.005494 -0.042340 -0.006065 -0.055004
MP3=FULL         -0.009717   -0.010908       -0.163185 -0.032440 -0.005086 -0.053130         -0.005728 -0.054741
MP4=FULL   -0.005407     -0.009779       -0.124387   -0.164748   -0.005123 -0.054345   -0.005676 -0.055628   -0.005814 -0.055990
B2PLYP=FULL -0.000220 -0.001762 -0.003888 -0.001108 -0.003106 -0.003106 -0.003470 -0.036355 -0.036355 -0.005512 -0.048324 -0.009815 -0.001711 -0.016192   -0.001873 -0.016560   -0.001917 -0.016664
Quadratic configuration interaction QCISD(T)=FULL         -0.009739           -0.164535   -0.005110 -0.054240   -0.005661 -0.055507   -0.005799 -0.055869
QCISD(TQ)=FULL         -0.029314   -0.010954       -0.164343   -0.005099 -0.053159 -0.043025 -0.005741 -0.055268 -0.043606 -0.005713 -0.055799
Coupled Cluster CCSD=FULL         -0.009549         -0.016743 -0.162863 -0.032407 -0.004954 -0.053122 -0.042028 -0.005461 -0.054353 -0.042252 -0.005596 -0.054712
CCSD(T)=FULL         -0.009742           -0.164518 -0.032996 -0.005110 -0.054199 -0.042978 -0.005654 -0.055464 -0.043220 -0.005792 -0.055825
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