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

For Li2S (dilithium sulfide)

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 aug-cc-pV(T+d)Z cc-pCVTZ
Moller Plesset perturbation MP2=FULL -0.001579 -0.006279 -0.013952 -0.004503 -0.013291 -0.013291 -0.014033   -0.147449 -0.029978 -0.054261 -0.008173 -0.061749 -0.094600 -0.015494 -0.067026 -0.098493 -0.125896 -0.132152 -0.356616
MP3=FULL         -0.012342   -0.013082       -0.056619 -0.007294 -0.063816         -0.128191 -0.133734 -0.359051
MP4=FULL   -0.005956     -0.012614       -0.151273     -0.007500 -0.065296   -0.015466 -0.070945   -0.130344 -0.135937 -0.361960
B2PLYP=FULL -0.000530 -0.001960 -0.004275 -0.001422 -0.004095 -0.004095 -0.004328 -0.042837 -0.042837 -0.009344 -0.016217 -0.002559 -0.018706   -0.004734 -0.020306   -0.037633 -0.039208 -0.102435
Quadratic configuration interaction QCISD(T)=FULL         -0.012558             -0.007461 -0.065309   -0.015400 -0.070957       -0.361617
QCISD(TQ)=FULL         -0.012500   -0.014443         -0.007416 -0.065119 -0.083038 -0.015388 -0.070716   -0.130218 -0.135864 -0.361427
Coupled Cluster CCSD=FULL         -0.012260         -0.028657 -0.057212 -0.007239 -0.064484 -0.098092 -0.015336 -0.070043 -0.102426 -0.128841 -0.134363 -0.358964
CCSD(T)=FULL         -0.012547           -0.057789 -0.007453 -0.065287 -0.099450 -0.015417 -0.070936 -0.103810 -0.130194 -0.135794 -0.361631
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 aug-cc-pV(T+d)Z cc-pCVTZ