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

For AlH3- (aluminum trihydride 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 -0.006721 -0.004362 -0.009331 -0.003219 -0.008278 -0.008836 -0.010001 -0.124130 -0.124754 -0.014496 -0.155407 -0.070430 -0.005193 -0.064331 -0.051377 -0.007740 -0.069914 -0.062086 -0.008081 -0.073211
MP3=FULL         -0.008238   -0.009980       -0.155436 -0.070870 -0.005021 -0.064625         -0.007899 -0.073634
MP4=FULL   -0.004269     -0.008452       -0.125717   -0.157504   -0.005163 -0.066364   -0.007798 -0.072044   -0.008148 -0.075427
B2PLYP=FULL -0.002271 -0.001443 -0.003026 -0.001055 -0.002664 -0.002830 -0.003198 -0.036708 -0.036905 -0.004595 -0.046140 -0.021291 -0.001690 -0.019674   -0.002488 -0.021317   -0.002595 -0.022272
Quadratic configuration interaction QCISD(T)=FULL         -0.008457           -0.157498   -0.005148 -0.066265   -0.007776 -0.071947   -0.008124 -0.075334
QCISD(TQ)=FULL         -0.008445           -0.157398       -0.052759 -0.007745 -0.071781      
Coupled Cluster CCSD=FULL         -0.008239         -0.014424 -0.155913 -0.071418 -0.004987 -0.065066 -0.051713 -0.007532 -0.070737 -0.062297 -0.007870 -0.074142
CCSD(T)=FULL         -0.008458           -0.157466 -0.072370 -0.005149 -0.066217 -0.052676 -0.007773 -0.071897 -0.063344 -0.008121 -0.075286
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