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

For LiNe+ (Lithium Neon 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
Moller Plesset perturbation MP2=FULL -0.000230 -0.002108 -0.002108 -0.001127 -0.002113 -0.002113 -0.002649 -0.031665 -0.031665 -0.004941 -0.037323 -0.029994 -0.002250 -0.024533 -0.047330 -0.002679 -0.025484 -0.048231
MP3=FULL         -0.001901   -0.002447       -0.039418 -0.031821 -0.002037 -0.025959        
MP4=FULL   -0.001911     -0.001972       -0.033899   -0.039750   -0.002069 -0.026324   -0.002509 -0.027338  
B2PLYP=FULL -0.000079 -0.000619 -0.000619 -0.000333 -0.000628 -0.000628 -0.000788 -0.009093 -0.009093 -0.001466 -0.010713 -0.008652 -0.000650 -0.007188   -0.000791 -0.007475  
Quadratic configuration interaction QCISD(T)=FULL         -0.001946           -0.039815   -0.002054 -0.026383   -0.002497 -0.027404  
QCISD(TQ)=FULL         -0.001937   -0.002475       -0.039822   -0.002050 -0.026383 -0.050086 -0.002495 -0.027409 -0.051108
Coupled Cluster CCSD=FULL         -0.001925         -0.004729 -0.039695 -0.032165 -0.002040 -0.026294 -0.049887 -0.002481 -0.027320 -0.050907
CCSD(T)=FULL         -0.001944           -0.039816 -0.032211 -0.002053 -0.026383 -0.050080 -0.002496 -0.027406 -0.051099
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