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

For MgH2 (magnesium dihydride)

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 cc-pCVDZ cc-pCVTZ
Moller Plesset perturbation MP2=FULL -0.018116 -0.003752 -0.006184 -0.002807 -0.005793 -0.005929 -0.006320 -0.127251 -0.127475 -0.008404 -0.072848 -0.003541 -0.021566 -0.033490 -0.004893 -0.026686 -0.038284   -0.171216 -0.298362
MP3=FULL         -0.005783   -0.006525       -0.073240 -0.003488 -0.021832              
MP4=FULL   -0.003782     -0.006037       -0.128763     -0.003630 -0.022902   -0.005021 -0.028492        
B2PLYP=FULL -0.006069 -0.001297 -0.002106 -0.000958 -0.001949 -0.001991 -0.002117 -0.038199 -0.038271 -0.002779 -0.022338 -0.001206 -0.006969   -0.001653 -0.008500        
Quadratic configuration interaction QCISD(T)=FULL         -0.006089   -0.006617         -0.003638 -0.022919   -0.005017 -0.028508        
QCISD(TQ)=FULL         -0.006077   -0.006601         -0.003630 -0.022824 -0.035816 -0.005001 -0.028408 -0.040628      
Coupled Cluster CCSD=FULL         -0.005885         -0.008477 -0.074215 -0.003510 -0.022118 -0.034869 -0.004835 -0.027656 -0.039608      
CCSD(T)=FULL         -0.006087           -0.075255 -0.003637 -0.022890 -0.035892 -0.005015 -0.028475 -0.040721 -0.022890 -0.174969 -0.305379
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 cc-pCVDZ cc-pCVTZ