Model estimates of quantum capacitance for the graphene-like nanostructures

Models of the densities of states of amorphous graphene and graphene-like binary compounds are proposed. The models are used for estimations of the quantum capacitance of these structures. It is shown that amorphization reduces the quantum capacitance. The same effect takes place if graphene or a graphene-like compound interacts with a metal substrate. At the same time, in the case of a semiconductor (insulator) substrate, the quantum capacitance increases.