Adiabatic connection models (ACMs) are powerful tools to build accurate exchangecorrelation functionals. In this work we introduce a fully self-consistent-field (SCF) implementation of some popular ACM based functionals. To this purpose we also introduce new GGA approximations, beyond the usual point-charge-plus-continuum model, for the strong correlation functional and its first derivative, showing their robustness and reliability. Then we assess the SCF-ACM functionals for molecular systems and for strong-correlation problems. We find that they perform well for both the total energy

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