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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 anion)

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 daug-cc-pVDZ daug-cc-pVTZ
Moller Plesset perturbation MP2=FULL 0.000000 -0.003638 -0.003638 -0.001975 -0.003821 -0.003821 -0.004550 -0.037281 -0.037281 -0.009132 -0.033784 -0.004058 -0.024613 -0.061864 -0.004359 -0.026041 -0.062113 -0.024613 -0.004469 -0.026915
MP3=FULL         -0.003389   -0.078871       -0.034303 -0.003674 -0.024150           -0.004069 -0.026546
MP4=FULL   -0.003326     -0.003478       -0.037589     -0.003695 -0.024269   -0.004006 -0.025692     -0.004114 -0.026590
B2PLYP=FULL 0.000000 -0.001052 -0.001052 -0.000570 -0.001096 -0.001096 -0.001300 -0.010439 -0.010439 -0.002608 -0.009470 -0.001165 -0.007022   -0.001247 -0.007386     -0.001278 -0.007614
Quadratic configuration interaction QCISD(T)=FULL         -0.003444             -0.003679 -0.024231   -0.003963 -0.025615     -0.004069 -0.026503
QCISD(TQ)=FULL         -0.003436   -0.004120         -0.003675 -0.024230 -0.063018 -0.003952 -0.025621 -0.063230      
Coupled Cluster CCSD=FULL         -0.003399         -0.008683 -0.034257 -0.003645 -0.024013 -0.062521 -0.003911 -0.025392 -0.062695   -0.004017 -0.026284
CCSD(T)=FULL         -0.003443           -0.034391 -0.003678 -0.024233 -0.063014 -0.003962 -0.025630 -0.063213   -0.004069 -0.026520
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 daug-cc-pVDZ daug-cc-pVTZ