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

For Ar2 (Argon diatomic)

Energies in Hartree
Methods with standard basis sets
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 -0.006926 -0.020633 -0.004371 -0.017882 -0.017882 -0.019178 -0.107064 -0.107064 -0.038189 -0.197461 -0.049795 -0.010682 -0.063905 -0.127742 -0.012501 -0.066388 -0.129023 -0.013020 -0.067206
MP3=FULL       -0.016111   -0.017350         -0.047533 -0.009114 -0.059671            
MP4=FULL -0.006300     -0.016337       -0.107031       -0.009336 -0.060891   -0.011107 -0.063389      
B2PLYP=FULL -0.002093 -0.006158 -0.001318 -0.005329 -0.005329 -0.005711 -0.030681 -0.030681 -0.011319 -0.057036 -0.014505 -0.003216 -0.018892   -0.003753 -0.019593   -0.003906 -0.019813
Quadratic configuration interaction QCISD(T)=FULL       -0.016351           -0.193140   -0.009346 -0.060806   -0.011090 -0.063280   -0.011571 -0.064096
QCISD(TQ)=FULL       -0.016314   -0.017570           -0.009309 -0.060599   -0.011020 -0.063051      
Coupled Cluster CCSD=FULL       -0.015999         -0.033366 -0.190931 -0.047556 -0.009049 -0.059555 -0.121939 -0.010717 -0.061953 -0.123174 -0.011190 -0.062748
CCSD(T)=FULL       -0.016344           -0.193094 -0.048267 -0.009339 -0.060774 -0.124009 -0.011073 -0.063241 -0.125285 -0.011554 -0.064057
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