Adsorption of Hydrogen Atom on Graphene

The adsorption of atomic hydrogen on graphene monolayer is considered using the model density of states (M model). Analytical expressions for the density of states of H adatom and its occupation number n(a) are obtained. The main (local) contribution n(l) to the total occupation number n(a) is due to a local level of the adatom, which occurs below the edge of the continuous spectrum. A variant of the surface molecule approximation in the case of n(l) >> n(a) - n(l) is proposed.