The interaction potentials of the fullerene C$_{60}$ molecule and carbon nanoparticles with a thick graphite plate

Using the Lennard-Jones pair-potential analytical expressions are derived for the potentials and interaction forces of the C$_{60}$ fullerene molecule and a carbon nanoparticle with a thick graphite plate. Numerical calculations of the interaction potentials and the equilibrium parameters of the interaction of the fullerene molecule and the carbon nanoparticle with the sample are carried out.