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

For C4H8 (cyclobutane)


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
Moller Plesset perturbation MP2=FULL -0.001876 -0.006620 -0.006620 -0.005337 -0.019072 -0.020491 -0.020761 -0.074455 -0.075598 -0.034806 -0.068281 -0.010327 -0.063290 -0.012294 -0.075834
MP3=FULL         -0.018864   -0.025321       -0.071549 -0.009732 -0.065174    
MP4=FULL   -0.006352     -0.018957       -0.079044     -0.009724 -0.065656 -0.011680 -0.079421
B2PLYP=FULL -0.000568 -0.001980 -0.001980 -0.001593 -0.024077 -0.006042 -0.024160 -0.021317 -0.039577 -0.010115 -0.019580 -0.003075 -0.018338 -0.003659 -0.021943
Quadratic configuration interaction QCISD(TQ)=FULL         -0.015407   -0.019156         -0.008845      
Coupled Cluster CCSD=FULL         -0.018695         -0.035098 -0.071482 -0.009516 -0.063114 -0.011442 -0.079958
CCSD(T)=FULL         -0.018915           -0.071943 -0.009661 -0.065519 -0.011610 -0.079289
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