Studying the rotation induced super-lattices on graphite using a type-criterion potential based molecular dynamics method

•A type-standard potential was proposed to replace the spacing-criterion one.•We studied the change of energy, periodicity and structure with the rotation angle.•Increase of the rotation angle changes the energy in a parabolic-kind way.•Increase of the rotation angle changes the periodicity in a step mode.•Only a super-lattice is formed within certain ranges of the rotation angle.