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

For HS- (mercapto 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) 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
Moller Plesset perturbation MP2=FULL -0.000202 -0.005109 -0.012702 -0.003008 -0.010252 -0.010604 -0.011258 -0.120210 -0.120437 -0.019645 -0.166106 -0.028180 -0.006738 -0.034530 -0.058950 -0.007644 -0.036816 -0.059553 -0.099758
MP3=FULL         -0.009520   -0.029131       -0.162935 -0.027311 -0.005998 -0.033079          
MP4=FULL   -0.004712     -0.009618       -0.119805   -0.164596   -0.006104 -0.033876   -0.007061 -0.036226    
B2PLYP=FULL -0.000064 -0.001572 -0.003863 -0.000923 -0.003109 -0.003211 -0.003408 -0.034640 -0.034707 -0.005916 -0.048087 -0.008344 -0.002061 -0.010349   -0.002335 -0.011005    
Quadratic configuration interaction QCISD(T)=FULL         -0.009610           -0.164326   -0.006110 -0.033810   -0.007027 -0.036121    
QCISD(TQ)=FULL         -0.009588   -0.010572       -0.164110   -0.006091 -0.033685 -0.058394 -0.006971 -0.035973 -0.058983  
Coupled Cluster CCSD=FULL         -0.009387         -0.017684 -0.162732 -0.027239 -0.005913 -0.033013 -0.057386 -0.006769 -0.035275 -0.057957  
CCSD(T)=FULL         -0.009611           -0.164314 -0.027729 -0.006110 -0.033793 -0.058554 -0.007015 -0.036096 -0.059149  
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