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

For F2+ (flourine diatomic 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 cc-pV(T+d)Z daug-cc-pVDZ daug-cc-pVTZ
Moller Plesset perturbation MP2=FULL -0.000092 -0.003684 -0.003684   -0.003820 -0.003820 -0.004602 -0.036905 -0.036905 -0.009149 -0.045831 -0.033607 -0.003951 -0.024460 -0.061265 -0.004353 -0.027003 -0.061867 -0.024460 -0.004528 -0.028234
MP3=FULL         -0.003414   -0.008160       -0.046687 -0.034206 -0.003577 -0.024298           -0.004161 -0.028412
MP4=FULL   -0.003401     -0.003475       -0.037253   -0.046780   -0.003581 -0.024277   -0.003984 -0.026970     -0.004161 -0.028263
B2PLYP=FULL -0.000027 -0.001066 -0.001066 -0.000583 -0.001105 -0.001105 -0.001329 -0.010350 -0.010350 -0.002631 -0.012912 -0.009434 -0.001137 -0.007025   -0.001254 -0.007755     -0.001308 -0.008100
Quadratic configuration interaction QCISD(T)=FULL         -0.003446           -0.046735   -0.003565 -0.024281   -0.003965 -0.027029     -0.004146 -0.028321
QCISD(TQ)=FULL         -0.003433   -0.004207       -0.046698   -0.003558 -0.024251 -0.062546   -0.026993 -0.063202   -0.004135 -0.028285
Coupled Cluster CCSD=FULL         -0.003386         -0.008705 -0.046326 -0.034096 -0.003498 -0.024045 -0.061989 -0.003889 -0.026839 -0.062676   -0.004072 -0.028128
CCSD(T)=FULL         -0.003448           -0.046729 -0.034273 -0.003568 -0.024288 -0.062592 -0.003967 -0.027039 -0.063253   -0.004149 -0.028332
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 cc-pV(T+d)Z daug-cc-pVDZ daug-cc-pVTZ