  We give the results of density functional calculations for graphene with a
widely varying fluorine adsorptions. We give a systematic analysis of the
adsorption energies, lattice constants, bulk modulus, bandgap openings, and
magnetic properties. We find that a number of different adsorption geometries
and a range of physical properties can occur for each adsorbate coverage. The
systems are found to range from metallic to semiconducting with widely vary
band gaps, and a number of interesting magnetic phases are found. We expect
that many of these structures may occur in real materials systems. Further that
a listing of the properties found here may help in determining what fluorinated
graphenes are produced experimentally.
