Bohr's stopping-power formula derived for a classical free-electron gas

Bohr's centenary stopping-power formula is rederived for a free electron gas (FEG) system within the framework of nonrelativistic classical mechanics. A simple and more concise expression stopping power charged particles in FEG demonstrated on grounds. Using semiclassical arguments Euler-Maclaurin well-known mathematical formula, Bloch's correction that links Bethe's quantum theory to model also recovered. The proposed contains main physical ingredients general applicable different systems energies facilitates computational calculations.