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

For Mg (Magnesium atom)

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 Sadlej_pVTZ
Moller Plesset perturbation MP2=FULL -0.017269 -0.003894 -0.006833 -0.002897 -0.006476 -0.006476 -0.006936 -0.128591 -0.128591 -0.008351 -0.144569 -0.144569 -0.073785 -0.003546 -0.018343 -0.030233 -0.003777 -0.019410 -0.030399   -0.172458 -0.300361 -0.085016
MP3=FULL         -0.006444   -0.006901                                
MP4=FULL -0.017830 -0.003841 -0.007021 -0.002823 -0.006646 -0.006646 -0.007128 -0.129667 -0.129667 -0.008460 -0.146402 -0.146402 -0.076119 -0.003595 -0.019268 -0.032087 -0.003830 -0.020412 -0.032259        
B2PLYP=FULL   -0.001341     -0.002168   -0.002317                                
Coupled Cluster CCSD=FULL   -0.003601 -0.006599 -0.002648 -0.006253 -0.006253 -0.006715 -0.128432 -0.128432 -0.007862 -0.144074 -0.144074 -0.074648 -0.003352 -0.018166 -0.030595 -0.003570 -0.019281 -0.030762        
CCSD(T)=FULL   -0.003781 -0.006911 -0.002770 -0.006529 -0.006529 0.000000 -0.129490 -0.129490 -0.008273 -0.145973 -0.145973 -0.075803 -0.003459 -0.018972 -0.031788 -0.003685 -0.020109 -0.031962 -0.018972 -0.175410 -0.306200  
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 Sadlej_pVTZ