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

For NaAl (Sodium aluminum)

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) TZVP cc-pVDZ cc-pVTZ cc-pVQZ aug-cc-pVDZ aug-cc-pVTZ aug-cc-pVQZ cc-pCVTZ aug-cc-pCVTZ
Moller Plesset perturbation MP2=FULL -0.049743 -0.005733 -0.012095 -0.005065 -0.011964 -0.011964 -0.013248 -0.257696 -0.257696 -0.025212 -0.146953 -0.006115 -0.076127 -0.046433 -0.006955 -0.078059 -0.053258 -0.597347 -0.597686
MP3=FULL         -0.011808   -0.013094       -0.146819 -0.005860 -0.076727         -0.602725 -0.603074
MP4=FULL   -0.005587     -0.012105       -0.259979     -0.006012 -0.079051   -0.006874 -0.081071   -0.609122 -0.609497
B2PLYP=FULL -0.016630 -0.001945 -0.003999 -0.001720 -0.003938 -0.003938 -0.004349 -0.077796 -0.077796 -0.008206 -0.045280 -0.002062 -0.023692   -0.002347 -0.024295   -0.176398 -0.176519
Quadratic configuration interaction QCISD(T)=FULL         -0.012015             -0.005964 -0.078797   -0.006820 -0.080812   -0.608418 -0.608788
QCISD(TQ)=FULL         -0.011997   -0.013341         -0.005937 -0.078554 -0.048265 -0.006787 -0.080560 -0.055088    
Coupled Cluster CCSD=FULL         -0.011466         -0.024253 -0.148188 -0.005657 -0.076692 -0.046686 -0.006470 -0.078661 -0.053337 -0.600706 -0.601060
CCSD(T)=FULL         -0.012016           -0.151235 -0.005964 -0.078738 -0.048371 -0.006819 -0.080752 -0.055246 -0.608364 -0.608733
STO-3G 3-21G 3-21G* 6-31G 6-31G* 6-31G** 6-31+G** 6-311G* 6-311G** 6-31G(2df,p) TZVP cc-pVDZ cc-pVTZ cc-pVQZ aug-cc-pVDZ aug-cc-pVTZ aug-cc-pVQZ cc-pCVTZ aug-cc-pCVTZ