  We study a Schr{\"o}dinger equation modeling the dynamics of an electron in a
crystal in the asymptotic regime of small wavelength comparable to the
characteristic scale of the crystal. Using Floquet Bloch decomposition, we
obtain a description of the limit of time averaged energy densities. We make
rather general assumption assuming that the initial data are uniformly bounded
in a high order Sobolev spaces and that the crossings between Bloch modes are
at worst conical. We show that despite the singularity they create, conical
crossing do not trap the energy and do not prevent dispersion. We also
investigate the interactions between modes that can occurred when there are
some degenerate crossings between Bloch bands.
