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

For Kr+ (Krypton 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) 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 -0.002937 -0.009321 -0.009767 -0.018896 -0.018896 -0.019383 -0.360903 -0.360903 -0.060354 -0.405645 -0.062389 -0.007327 -0.042410 -0.077884 -0.009357 -0.044943 -0.079287
MP3=FULL         -0.018279   -0.018760       -0.366231 -0.052998 -0.006470 -0.037089        
MP4=FULL   -0.002810     -0.018661       -0.341230   -0.383464   -0.006936 -0.040459   -0.008944 -0.042928  
B2PLYP=FULL 0.000000 -0.000880 -0.002815 -0.002828 -0.005654 -0.005654 -0.005796 -0.105200 -0.105200 -0.018392 -0.118317 -0.018440 -0.002241 -0.012683   -0.002851 -0.013418  
Quadratic configuration interaction QCISD(T)=FULL         -0.018585           -0.378844   -0.006856 -0.039541   -0.008829 -0.041952  
QCISD(TQ)=FULL         -0.018518   -0.019002       -0.377740   -0.006783 -0.039014 -0.071244 -0.008722 -0.041401 -0.072575
Coupled Cluster CCSD=FULL         -0.018304         -0.057028 -0.375163 -0.055109 -0.006550 -0.038162 -0.070177 -0.008435 -0.040528 -0.071497
CCSD(T)=FULL         -0.018571           -0.378707 -0.056605 -0.006850 -0.039483 -0.071943 -0.008817 -0.041889 -0.073279
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