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

For F2 (Fluorine 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 Sadlej_pVTZ daug-cc-pVDZ daug-cc-pVTZ
Moller Plesset perturbation MP2=FULL -0.000085 -0.003711 -0.003711 -0.002056 -0.003932 -0.003932 -0.004725 -0.037262 -0.037262 -0.009354 -0.046306 -0.046306 -0.033850 -0.004083 -0.024829 -0.061922 -0.004479 -0.027284 -0.062466 -0.024829 -0.074446 -0.109405 -0.121549 -0.028393 -0.004648 -0.028515
MP3=FULL   -0.003297 -0.003297 -0.001751 -0.003470 -0.003470 -0.004242 -0.037526 -0.037526 -0.008892 -0.046970   -0.034346 -0.003673 -0.024373   -0.004054 -0.026977     -0.076648 -0.111621 -0.123524   -0.004220 -0.028265
MP4=FULL -0.000038 -0.003369 -0.003369 -0.001813 -0.003540 -0.003540 -0.004319 -0.037513 -0.037513 -0.008968 -0.047070 -0.047070 -0.034441 -0.003683 -0.024447 -0.063148 -0.004080 -0.026974 -0.063668   -0.076755 -0.112191 -0.124230   -0.004238 -0.028260
B2PLYP=FULL -0.000025 -0.001072 -0.001072 -0.000592 -0.001129 -0.001129 -0.001354 -0.010433 -0.010433 -0.002678 -0.013007   -0.009488 -0.001172 -0.007087   -0.001285 -0.007773     -0.020720 -0.030608 -0.033981   -0.001334 -0.008117
Quadratic configuration interaction QCISD(T)=FULL         -0.003505   -0.004273       -0.047025     -0.003664 -0.024404 -0.063054 -0.004052 -0.026937 -0.063580   -0.076720 -0.112033 -0.124025   -0.004210 -0.028223
QCISD(TQ)=FULL         -0.003495   -0.004260             -0.003658 -0.024386 -0.063025 -0.004042 -0.026914 -0.063552              
Coupled Cluster CCSD=FULL -0.000039 -0.003284 -0.003284 -0.001737 -0.003443 -0.003443 -0.004208 -0.037273 -0.037273 -0.008832 -0.046628 -0.046628 -0.034239 -0.003600 -0.024147 -0.062476 -0.003977 -0.026713 -0.063022   -0.076398 -0.111186 -0.123031   -0.004138 -0.027997
CCSD(T)=FULL -0.000039 -0.003355 -0.003355 -0.001788 -0.003506 -0.003506 -0.004274 -0.037486 -0.037486 -0.008928 -0.047021 -0.047021 -0.034407 -0.003665 -0.024405 -0.063048 -0.004052 -0.026939 -0.063576 -0.024405 -0.076717 -0.112012 -0.124004   -0.004210 -0.028225
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 Sadlej_pVTZ daug-cc-pVDZ daug-cc-pVTZ