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

For Na2+ (sodium 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) TZVP cc-pVDZ cc-pVTZ cc-pVQZ aug-cc-pVDZ aug-cc-pVTZ aug-cc-pVQZ cc-pV(T+d)Z
Moller Plesset perturbation MP2=FULL -0.081943 -0.002018 -0.002804 -0.002997 -0.004111 -0.004111 -0.004275 -0.261696 -0.261696 -0.016565 -0.149520 -0.002452 -0.021311 -0.026629 -0.002847 -0.021987 -0.042129 -0.021311
MP3=FULL         -0.004046   -0.004230       -0.149144 -0.002355 -0.022316          
MP4=FULL   -0.002002     -0.004284       -0.264834     -0.002488 -0.023437   -0.002900 -0.024181    
B2PLYP=FULL -0.027101 -0.000772 -0.001052 -0.001101 -0.001495 -0.001495 -0.001553 -0.080306 -0.080306 -0.005604 -0.046852 -0.000915 -0.007178   -0.001061 -0.007409    
Quadratic configuration interaction QCISD(T)=FULL         -0.004296             -0.002490 -0.023510   -0.002902 -0.024256    
QCISD(TQ)=FULL         -0.004273   -0.004440         -0.002495 -0.023422 -0.029115 -0.002906 -0.024163 -0.044627  
Coupled Cluster CCSD=FULL         -0.004200         -0.017518 -0.152426 -0.002438 -0.023045 -0.028561 -0.002839 -0.023765 -0.043704  
CCSD(T)=FULL         3.890185           -0.155195 -0.002489 -0.023487 -0.029226 -0.002901 -0.024232 -0.044868  
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