  We recall the generalization of the Feynman-Metropolis-Teller approximation
for a compressed atom using a relativistic Fermi-Thomas model. These results
within a Wigner-Seitz approximation lead to a new equation of state for white
dwarfs and to a new value of their critical mass, smaller than the one obtained
by Chandrasekhar. The possible observations of these effects in binary neutron
stars are outlined.
