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

For C2H- (Ethynyl 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 daug-cc-pVDZ daug-cc-pVTZ
Moller Plesset perturbation MP2=FULL -0.000652 -0.003094 -0.003094 -0.002436 -0.009011 -0.009195 -0.009405 -0.036435 -0.036628 -0.011802 -0.042359 -0.033304 -0.004259 -0.026644 -0.053639 -0.004708 -0.031045 -0.054730 -0.004835 -0.032031
MP3=FULL         -0.008937   -0.048668       -0.044167 -0.034953 -0.004000 -0.027470         -0.004574 -0.033289
MP4=FULL   -0.002955     -0.008925       -0.038293   -0.044587   -0.003950 -0.027507   -0.004404 -0.032260   -0.004529 -0.033343
B2PLYP=FULL -0.000197 -0.000930 -0.000930 -0.000729 -0.002680 -0.002733 -0.002795 -0.010439 -0.010500 -0.003491 -0.012222 -0.009548 -0.001279 -0.007806   -0.001415 -0.009060   -0.001452 -0.009340
Quadratic configuration interaction QCISD(T)=FULL         -0.008905           -0.044468   -0.003929 -0.027480   -0.004378 -0.032241   -0.004503 -0.033317
QCISD(TQ)=FULL         -0.008910           -0.044455       -0.056434 -0.004372 -0.032258      
Coupled Cluster CCSD=FULL         -0.008803         -0.011637 -0.044002 -0.034881 -0.003870 -0.027247 -0.055859 -0.004312 -0.032011 -0.057021 -0.004435 -0.033069
CCSD(T)=FULL         1.235634           -0.044457 -0.035111 -0.003931 -0.027485 -0.056442 -0.004380 -0.032247 -0.057600 -0.004505 -0.033321
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 daug-cc-pVDZ daug-cc-pVTZ