The analytical differential cross section of elastic scattering of atoms aimed to be used in Monte Carlo modeling of propagation of fast particles in matter

The analytical differential cross section (DCS) of elastic scattering of atoms that reproduces the stopping power and the straggling of energy loss is proposed. Analytical expressions derived from the DCS for diffusion σd and viscosity σv cross sections of elastic collisions of atoms are in good agreement with known cross sections of 38Ar-40Ar and H-Li collisions obtained from quantum mechanical simulations. The Monte Carlo modeling of the transport of sputtered Cu atoms in Ar and implantation of Bi ions in B and C materials made using the proposed DCS demonstrates its accuracy in the modeling of elastic collisions.