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

For H2O+ (water 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 cc-pV(T+d)Z
Moller Plesset perturbation MP2=FULL -0.000067 -0.001759 -0.001759 -0.000971 -0.002247 -0.002440 -0.002558 -0.018410 -0.018604 -0.006678 -0.022321 -0.016942 -0.002106 -0.013112 -0.029932 -0.002277 -0.014526 -0.030334 -0.013112
MP3=FULL         -0.002076   -0.003356       -0.022825 -0.017396 -0.001952 -0.013105          
MP4=FULL   -0.001654     -0.002078       -0.018936   -0.022873   -0.001938 -0.013118   -0.002106 -0.014604    
B2PLYP=FULL -0.000019 -0.000511 -0.000512 -0.000282 -0.000651 -0.000704 -0.000738 -0.005178 -0.005234 -0.001910 -0.006301 -0.004773 -0.000608 -0.003756   -0.000658 -0.004150    
Quadratic configuration interaction QCISD(T)=FULL         -0.002068           -0.022842   -0.001927 -0.013091   -0.002095 -0.014572    
QCISD(TQ)=FULL         -0.002066   -0.002369       -0.022844   -0.001924 -0.013090 -0.030742 -0.002092 -0.014572 -0.031160  
Coupled Cluster CCSD=FULL         -0.002043         -0.006610 -0.022690 -0.017333 -0.001904 -0.012985 -0.030521 -0.002069 -0.014469 -0.030935  
CCSD(T)=FULL         -0.002067           -0.022843 -0.017406 -0.001926 -0.013092 -0.030742 -0.002094 -0.014574 -0.031160  
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 cc-pV(T+d)Z