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

For AlH3 (aluminum trihydride)

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 -0.007620 -0.004381 -0.009317 -0.003254 -0.008267 -0.008829 -0.009994 -0.124064 -0.124727 -0.014402 -0.070377 -0.005171 -0.064488 -0.051995 -0.007674 -0.070674 -0.064295 -0.101536 -0.198711 -0.310740
MP3=FULL         -0.008252   -0.011680       -0.070832 -0.005026 -0.064816              
MP4=FULL   -0.004309     -0.008477       -0.125717     -0.005175 -0.066551   -0.007773 -0.072859        
B2PLYP=FULL -0.002547 -0.001443 -0.003014 -0.001062 -0.002655 -0.002823 -0.003190 -0.036677 -0.036889 -0.004559 -0.021262 -0.001678 -0.019700   -0.002465 -0.021506        
Quadratic configuration interaction QCISD(T)=FULL         -0.008495   -0.010287         -0.005163 -0.066443   -0.007755 -0.072749        
QCISD(TQ)=FULL         -0.008485   -0.010271         -0.005149 -0.066283 -0.053407 -0.007730 -0.072594 -0.065445     -0.316502
Coupled Cluster CCSD=FULL         -0.008271         -0.014391 -0.071373 -0.005001 -0.065238 -0.052515 -0.007515 -0.071551 -0.064624     -0.313673
CCSD(T)=FULL         -0.008495           -0.072335 -0.005163 -0.066396 -0.053477 -0.007752 -0.072700 -0.065683 -0.104943 -0.201560 -0.316539
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