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

For S+ (Sulfur atom 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
Moller Plesset perturbation MP2=FULL -0.000278 -0.004711 -0.012398 -0.002702 -0.009972 -0.009972 -0.010694 -0.119874 -0.119874 -0.018548 -0.027833 -0.005803 -0.033011 -0.058091 -0.006543 0.066231 -0.058408
MP3=FULL                     -0.027432 -0.005448 -0.032218        
MP4=FULL   -0.004604     -0.009518       -0.119386     -0.005441 -0.032602   -0.006166 -0.033677  
B2PLYP=FULL -0.000088 0.087610 -0.003762 -0.000827 0.087250 -0.003018 0.087118 -0.034534 -0.034534 -0.005576 -0.008223 -0.001776     -0.001999 -0.010202  
Quadratic configuration interaction QCISD(T)=FULL         -0.009487             -0.005430 -0.032548   -0.006154 -0.033611  
QCISD(TQ)=FULL         -0.031796   -0.010071         -0.005426 -0.032479 -0.057589 -0.006259 -0.033862 -0.057623
Coupled Cluster CCSD=FULL         -0.009340         -0.016913 -0.027216 -0.005293 -0.031877 -0.056922 -0.005994 -0.032923 -0.057229
CCSD(T)=FULL         -0.009486           -0.027632 -0.005427 -0.032532 -0.057894 -0.006150 -0.033594 -0.058209
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