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

For LiH+ (lithium hydride cation)

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-pV(T+d)Z cc-pCVDZ cc-pCVTZ
Moller Plesset perturbation MP2=FULL -0.000240 -0.000217 -0.000217 -0.000189 -0.000441 -0.000446 -0.000494 -0.012545 -0.012559 -0.001112 -0.012764 -0.000148 -0.011073 -0.014619 -0.000222 -0.011668 -0.015191 -0.011073 -0.028590 -0.036175
MP3=FULL         -0.000420   -0.000516       -0.014500 -0.000139 -0.012817              
MP4=FULL   -0.000204     -0.000425       -0.014751     -0.000141 -0.013129   -0.000215 -0.013765        
B2PLYP=FULL -0.000082 -0.000075 -0.000075 -0.000063 -0.000146 -0.000147 -0.000163 -0.003754 -0.003759 -0.000366 -0.003841 -0.000050 -0.003362   -0.000075 -0.003543        
Quadratic configuration interaction QCISD(T)=FULL         -0.000425             -0.000141 -0.013198   -0.000215 -0.013835        
Coupled Cluster CCSD=FULL         -0.000424         -0.001134 -0.014794 -0.000141 -0.013196 -0.016990 -0.000215 -0.013832 -0.017647      
CCSD(T)=FULL         -0.000425           -0.014794 -0.000141 -0.013198 -0.016994 -0.000215 -0.013835 -0.017652 -0.013198 -0.033147 -0.040390
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-pV(T+d)Z cc-pCVDZ cc-pCVTZ