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

For H2OH2O (water dimer)

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 -0.000193 -0.003663 -0.003663 -0.002114 -0.004917 -0.005439 -0.005687 -0.037519 -0.037946 -0.014098 -0.034403 -0.004692 -0.027516 -0.061076 -0.005078 -0.031026 -0.061907
MP3=FULL         -0.004457   -0.027359       -0.035161 -0.004283 -0.027412        
MP4=FULL   -0.003381     -0.004489       -0.038511     -0.004262 -0.027505   -0.004644 -0.031199  
B2PLYP=FULL -0.000056 -0.001065 -0.001064 -0.000615 -0.001421 -0.001566 -0.001644 -0.010556 -0.010680 -0.004035 -0.009695 -0.001355 -0.007887   -0.001469 -0.008870  
Quadratic configuration interaction QCISD(T)=FULL         -0.004466             -0.004244 -0.027447   -0.004617 -0.031155  
QCISD(TQ)=FULL         -0.004464   -0.005215         -0.004240 -0.027420 -0.062515 -0.004613 -0.030942 -0.063393
Coupled Cluster CCSD=FULL         -0.004417         -0.013878 -0.035087 -0.004203 -0.027220 -0.062190 -0.004568 -0.030932 -0.062867
CCSD(T)=FULL         -0.004466           -0.035228 -0.004243 -0.027452 -0.081289 -0.004618 -0.031163 -0.063532
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