  In this work, a one-dimensional model of crystalline solids based on the
Dirac comb limit of the Kronig-Penney model is considered. From the wave
functions of the valence electrons, we calculate a statistical measure of
complexity and the Fisher-Shannon information for the lower energy electronic
bands appearing in the system. All these magnitudes present an extremal value
for the case of solids having half-filled bands, a configuration where in
general a high conductivity is attained in real solids, such as it happens with
the monovalent metals.
