This application relates to a method and apparatus for simulating and projecting isoenergetic surfaces of lattices under the tight-binding approximation. The method includes: constructing a stereoscopic projection device for isoenergetic surface
simulation; creating a demonstration mode of the isoenergetic surface
simulation on a
simulation platform based on the stereoscopic projection device; drawing the three-dimensional isoenergetic surface, three-dimensional extended surface, and two-dimensional band structure of the isoenergetic surface
simulation based on the demonstration mode; and projecting and demonstrating the isoenergetic surface simulation using the stereoscopic projection device. The embodiments of this application utilize multiple lattice types, up to 14, capable of depicting a three-dimensional
panorama of the isoenergetic surface, displaying dynamic processes, and showcasing the three-dimensional extended surface and two-dimensional band structure.