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

For NeH (neon hydrogen)

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 0.000000 -0.002001 -0.002001 -0.000912 -0.001454 -0.001465 -0.001833 -0.018921 -0.018921 -0.003333 -0.017204 -0.002044 -0.012972 -0.032687 -0.002191 -0.013429 -0.032774
MP3=FULL         -0.001269   -0.016217       -0.017347 -0.001846 -0.012644        
MP4=FULL   -0.001674     -0.001322       -0.018961     -0.001871 -0.012689   -0.002026 -0.013168  
B2PLYP=FULL 0.000000 -0.000536 -0.000536 -0.000261 -0.000415 -0.000415 -0.000521 -0.005277 -0.005277 -0.000951 -0.004803 -0.000583 -0.003679   -0.000624 -0.003805  
Quadratic configuration interaction QCISD(T)=FULL         -0.001300   -0.001672       -0.017393 -0.001858 -0.012679   -0.002006 -0.013157  
Coupled Cluster CCSD=FULL                     -0.017348 -0.001845 -0.012608 -0.032905 -0.001988 -0.013081 -0.032984
CCSD(T)=FULL         -0.001298           -0.017392 -0.001857 -0.012680 -0.033073 -0.002005 -0.013158 -0.033155
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