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

For Kr (Krypton atom)

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) 6-311+G(3df,2p) TZVP cc-pVDZ cc-pVTZ cc-pVQZ aug-cc-pVDZ aug-cc-pVTZ aug-cc-pVQZ
Moller Plesset perturbation MP2=FULL 0.000000 -0.002843 -0.009234 -0.009468 -0.019276 -0.019276 -0.019759 -0.362292 -0.362292 -0.061698 -0.407671 -0.061798 -0.007265 -0.042088 -0.077384 -0.009245 -0.044627 -0.078792
MP3=FULL         -0.018238   -0.029067       -0.366357 -0.052219 -0.006261 -0.036521        
MP4=FULL   -0.002680     -0.018745       -0.341834   -0.384593   -0.006804 -0.040096   -0.008806 -0.042594  
B2PLYP=FULL 0.000000 -0.000853 -0.002786 -0.002741 -0.005777 -0.005777 -0.005919 -0.105637 -0.105637 -0.018806 -0.118936 -0.018258 -0.002220 -0.012582   -0.002816 -0.013320  
Quadratic configuration interaction QCISD(T)=FULL         -0.018639           -0.379684   -0.006709 -0.039110   -0.008652 -0.041536  
QCISD(TQ)=FULL         -0.018553   -0.019029       -0.378496   -0.006624 -0.038545 -0.070619 -0.008519 -0.040942 -0.071961
Coupled Cluster CCSD=FULL         -0.018327         -0.057573 -0.375886 -0.054405 -0.006370 -0.037669 -0.069516 -0.008214 -0.040044 -0.070846
CCSD(T)=FULL         -0.018622           -0.379546 -0.055948 -0.006704 -0.039047 -0.071358 -0.008635 -0.041466 -0.053167
STO-3G 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