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

For He2+ (helium diatomic cation)

Energies in Hartree
Methods with standard basis sets
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 cc-pV(T+d)Z
Moller Plesset perturbation MP2=FULL 0.000000 0.000000 0.000000 -0.000000 0.000000 0.000000 -0.000000 0.000000 0.000000 0.000000 -0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000
MP3=FULL       0.000000   0.000000       0.000000 0.000000 0.000000 0.000000          
MP4=FULL 0.000000     0.000000       0.000000   0.000000   0.000000 0.000000   0.000000 0.000000    
B2PLYP=FULL 0.000000 0.000000 0.000000 0.000000 0.000000 -0.000000 0.000000 -0.000000 0.000000 0.000000 0.000000 0.000000 -0.000000   0.000000 0.000000    
Quadratic configuration interaction QCISD(T)=FULL       0.000000           0.000000   0.000000 0.000000   0.000000 0.000000    
Coupled Cluster CCSD=FULL       0.000000         0.000000 0.000000 0.000000 0.000000 0.000000   0.000000 0.000000 0.000000  
CCSD(T)=FULL       0.000000           0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000  
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 cc-pV(T+d)Z