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

For O2+ (diatomic oxygen 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
Moller Plesset perturbation MP2=FULL -0.000210 -0.003589 -0.003589 -0.002004 -0.004642 -0.004642 -0.005204 -0.036862 -0.036862 -0.013485 -0.033650 -0.003979 -0.024720 -0.058375 -0.004384 -0.028281 -0.059169 -0.024720
MP3=FULL         -0.004328   -0.009601       -0.034511 -0.003714 -0.025230          
MP4=FULL         -0.004288       -0.037531     -0.003629 -0.024889   -0.004031 -0.028698    
B2PLYP=FULL -0.000062 -0.001047 -0.001047 -0.000583 -0.001372 -0.001372 -0.001533 -0.010410 -0.010410 -0.003914 -0.009499 -0.001175 -0.007211   -0.001295 -0.008244    
Coupled Cluster CCSD=FULL         -0.004239           -0.034372 -0.003592 -0.024844 -0.059688 -0.003989 -0.028785 -0.060515  
CCSD(T)=FULL         -0.004301           -0.034579 -0.003646 -0.025073 -0.060310 -0.004051 -0.028981 -0.061142  
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