  There are currently several proposals to build a high-luminosity electron-ion
collider, to study the spin structure of matter and measure parton densities in
heavy nuclei, and to search for gluon saturation and new phenomena like the
colored glass condensate. These measurements require operation with
heavy-nuclei. We calculate the cross-sections for two important processes that
will affect accelerator and detector operations: bound-free pair production,
and Coulomb excitation of the nuclei. Both of these reactions have large
cross-sections, 28-56 mb, which can lead to beam ion losses, produce beams of
particles with altered charge:mass ratio, and produce a large flux of neutrons
in zero degree calorimeters. The loss of beam particles limits the sustainable
electron-ion luminosity to levels of several times $10^{32}/$cm$^2$/s.
