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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 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 aug-cc-pVDZ aug-cc-pVTZ cc-pV(D+d)Z cc-pV(T+d)Z
Moller Plesset perturbation MP2=FULL -0.001118 -0.015772 -0.039117 -0.009405 -0.031886 -0.031886 -0.033819 -0.361310 -0.361310 -0.062136 -0.085463 -0.019732 -0.105595 -0.022688 -0.112532 -0.162622 0.000000
MP3=FULL         -0.029483   -0.045255                    
Coupled Cluster CCSD(T)=FULL         -0.029901           -0.084102 -0.017863 -0.103336 -0.020818 -0.110261    
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 aug-cc-pVDZ aug-cc-pVTZ cc-pV(D+d)Z cc-pV(T+d)Z