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

For S3 (Sulfur trimer)

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 aug-cc-pV(T+d)Z cc-pCVDZ cc-pCVTZ daug-cc-pVDZ daug-cc-pVTZ
Moller Plesset perturbation MP2=FULL -0.001515 -0.016148 -0.039359 -0.009687 -0.032073 -0.032073 -0.034090 -0.361635 -0.361635 -0.062900 -0.500787 -0.086106 -0.019916 -0.107216 -0.178683 -0.023318 -0.114136 -0.180651 -0.303857   -0.635750 -0.992238 -0.023923 -0.116471
MP3=FULL         -0.029623   -0.031585       -0.490775 -0.083419 -0.017646 -0.102681         -0.296685       -0.021374 -0.112060
MP4=FULL   -0.014918     -0.030198       -0.359783   -0.496388   -0.018167 -0.105426   -0.021641 -0.112405   -0.301662       -0.022180 -0.114830
B2PLYP=FULL -0.000483 -0.004937 -0.011963 -0.002948 -0.009722 -0.009722 -0.010332 -0.104235 -0.104235 -0.018915 -0.145019 -0.025477 -0.006100 -0.032090   -0.007127 -0.034060   -0.089234       -0.007309 -0.034763
Quadratic configuration interaction QCISD(T)=FULL         -0.030009   -0.032089       -0.495108   -0.018035 -0.104878   -0.021451 -0.111809   -0.300513       -0.021936 -0.114193
QCISD(TQ)=FULL         -0.030006   -0.032089       -0.495302   -0.017933 -0.104625   -0.020816             -0.023140  
Coupled Cluster CCSD=FULL         -0.029190         -0.056611 -0.489900 -0.082966 -0.017361 -0.102350 -0.173488 -0.020633 -0.109236 -0.175409 -0.296239       -0.021104 -0.111642
CCSD(T)=FULL         -0.030009           -0.495056 -0.084663 -0.018034 -0.104837 -0.177231 -0.021437 -0.111761 -0.179193 -0.300442 -0.306855 -0.635257 -0.994202 -0.021933 -0.114178
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 aug-cc-pV(T+d)Z cc-pCVDZ cc-pCVTZ daug-cc-pVDZ daug-cc-pVTZ