Formulas of range of high energy incident electron in aluminum and gold

Based on the relation among electron range, incident energy and energy exponential, energy exponential about 1.72 in aluminum and energy exponential about 1.62 in gold for high energy incident electron were computed by ESTAR program, respectively .Based on the relation between the ranges in aluminum and gold at high incident electron energy and energy exponentials, the constants of energy exponential were computed with experimental values, respectively, and the formulas for ranges in aluminum and gold at high incident electron energy were derived. Ranges calculated with the formulas are in good agreement with existing experimental data.