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

For Ga2 (Gallium diatomic)

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
Moller Plesset perturbation MP2=FULL   -0.005697 -0.019483 -0.025180 -0.053203 -0.053203 -0.053345 -0.824079 -0.824079 -0.161011 -0.284225 -0.015313 -0.093480 -0.150591 -0.017167 -0.097090 -0.153539
MP3=FULL         -0.052676   -0.052830       -0.216017 -0.013187 -0.075385        
MP4=FULL   -0.005502     -0.056885       -0.799931     -0.015557 -0.095527   -0.017464 -0.098957  
B2PLYP=FULL -0.001071 -0.001796 -0.006290 -0.008087 -0.018760 -0.018760 -0.018795 -0.253725 -0.253725 -0.054664 -0.086422 -0.005061 -0.029158   -0.005647 -0.030217  
Quadratic configuration interaction QCISD(T)=FULL         -0.056403             -0.014948 -0.086804   -0.016745 -0.089846  
QCISD(TQ)=FULL         -0.055671   -0.055827         -0.014395 -0.091349   -0.016110 -0.094459  
Coupled Cluster CCSD=FULL         -0.053752         -0.153245 -0.241142 -0.013833 -0.081902 -0.128519 -0.015502 -0.084852 -0.130852
CCSD(T)=FULL         -0.056239           -0.245846 -0.014873 -0.086265 -0.133719 -0.016657 -0.089300 -0.136108
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