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

For BeB (Beryllium monoboride)

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
Moller Plesset perturbation MP2=FULL -0.001132 -0.002204 -0.002204 -0.002303   -0.007456 -0.007614   -0.031802 -0.007385 -0.028110 -0.002202 -0.018173 -0.042796 -0.002517 -0.022355 -0.043479  
MP3=FULL         -0.007557   -0.007718       -0.030567 -0.002030 -0.018838          
MP4=FULL   -0.001963     -0.007553       -0.034230     -0.001931 -0.018943   -0.002230 -0.023740    
B2PLYP=FULL -0.000341 -0.000677 -0.000677 -0.000703 -0.002271 -0.002271 -0.002320 -0.009254 -0.009254 -0.002280 -0.008186 -0.000676 -0.005371   -0.000771 -0.006551    
Quadratic configuration interaction QCISD(T)=FULL         -0.007624             -0.001875 -0.018801   -0.002162 -0.023550    
QCISD(TQ)=FULL         -0.007657   -0.007806         -0.001874 -0.018862 -0.046172 -0.002161 -0.023619 -0.046894  
Coupled Cluster CCSD=FULL         -0.007227           -0.030332 -0.001735 -0.018033 -0.044984 -0.002004 -0.022710 -0.045690  
CCSD(T)=FULL         -0.007621           -0.030780 -0.001878 -0.018829 -0.046107 -0.002165 -0.023590 -0.046830 -0.089926
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