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

For CH4- (Methane 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
Moller Plesset perturbation MP2=FULL -0.000364 -0.001532 -0.001532 -0.001210 -0.004309 -0.004815 -0.005202 -0.018164 -0.018685 -0.006444 -0.016801 -0.002437 -0.015910 -0.028469 -0.003072 -0.018497
MP3=FULL         -0.004177   -0.005165       -0.017630 -0.002478 -0.016451      
MP4=FULL   -0.001477     -0.004302       -0.019543     -0.002452 -0.016567   -0.002924 -0.019408
B2PLYP=FULL -0.000109 -0.000461 -0.000461 -0.000365 -0.001279 -0.001425 -0.001533 -0.005196 -0.005354 -0.001875 -0.004816 -0.000728 -0.004617   -0.000915 -0.005355
Quadratic configuration interaction QCISD(T)=FULL         -0.004180             -0.002439 -0.016527   -0.002908 -0.019364
QCISD(TQ)=FULL         -0.004182   -0.005155         -0.002436 -0.016523 -0.029959 -0.002906 -0.019361
Coupled Cluster CCSD=FULL         -0.004252         -0.006427 -0.017609 -0.002248 -0.016391 -0.029708 -0.002871 -0.019204
CCSD(T)=FULL         -0.004294           -0.017712 -0.002440 -0.016526 -0.029964 -0.002909 -0.019362
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