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

For O2 (Oxygen diatomic)

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) 6-311+G(3df,2pd) 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 cc-pCVQZ aug-cc-pCVTZ Sadlej_pVTZ daug-cc-pVDZ daug-cc-pVTZ
Moller Plesset perturbation MP2=FULL -0.000123 -0.003498 -0.003498 -0.001912 -0.004588 -0.004588 -0.005155 -0.036946 -0.036946 -0.013429 -0.044925 -0.044925 -0.033805 -0.003927 -0.024567 -0.058829 -0.004314 -0.027897 -0.059606 -0.024567 -0.072852 -0.104137 -0.115367 -0.104244 -0.028558 -0.004479 -0.028947
MP3=FULL         -0.004243   -0.004801           -0.034666 -0.003621 -0.024680           -0.075601 -0.107009 -0.117967 -0.107121   -0.004168 -0.029424
MP4=FULL -0.000086 -0.003300 -0.003300 -0.001756 -0.004242 -0.004242 -0.004801 -0.037600 -0.037600 -0.013412 -0.046128 -0.046128   -0.003586 -0.024558 -0.060663 -0.003970 -0.028070 -0.061462   -0.075725 -0.107676 -0.118801 -0.107751   -0.004131 -0.029186
B2PLYP=FULL -0.000036 -0.001024 -0.001024 -0.000559 -0.001343 -0.001343 -0.001506 -0.010412 -0.010412 -0.003865 -0.012722   -0.009536 -0.001148 -0.007091   -0.001261 -0.008032     -0.020365 -0.029282 -0.032411 -0.029314   -0.001309 -0.008327
Quadratic configuration interaction QCISD(T)=FULL         -0.004226   -0.004783             -0.003578 -0.024575 -0.060524 -0.003960 -0.028122 -0.061325   -0.075675 -0.107415 -0.118468     -0.004121 -0.029239
QCISD(TQ)=FULL         -0.004221                       -0.003953 -0.028112                  
Coupled Cluster CCSD=FULL -0.000083 -0.003186 -0.003186 -0.001688 -0.004181 -0.004181 -0.004732 -0.037400 -0.037400 -0.013319 -0.045721 -0.045721 -0.034554 -0.003537 -0.024389 -0.059990 -0.003912 -0.027965 -0.060788   -0.075399 -0.106638 -0.117552 -0.106709   -0.004071 -0.029080
CCSD(T)=FULL -0.000086 -0.003244 -0.003244 -0.001721 -0.004230 -0.004230 -0.004785 -0.037584 -0.037584 -0.013403 -0.046072 -0.046072 -0.034722 -0.003581 -0.024584 -0.060516 -0.003962 -0.028134 -0.061317 -0.024584 -0.075673 -0.107386 -0.118435 -0.107464   -0.004123 -0.029251
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) 6-311+G(3df,2pd) 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 cc-pCVQZ aug-cc-pCVTZ Sadlej_pVTZ daug-cc-pVDZ daug-cc-pVTZ