  The force law within free suspended black films made of negatively charged
Aerosol-OT (AOT) with added LiCl or CsCl is studied accurately using X-ray
reflectivity (ca. 1{\AA}). We find an electrolyte concentration threshold above
which a substantial additional repulsion is detected in the LiCl films, up to
distances of 100 {\AA}. We interpret this phenomenon as an augmentation of the
Debye screening length, due to the local screening of the condensed hydrophilic
counterions by the primary hydration shell.
