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Abstract Since the discovery of the x-rays and the nuclear radiations, a serious problem has been borne; that is, the ~ shielding against the strong penetrating radiation which has harmful biological effects. with the invention of stationary and mobile nuclear reactors and the development of nuclear power devices, the need increased for studying the propagation of neutrons, which are known to be the most hazardous radiations,in different structures. This study enables us, essentially, to know more about shielding problems. Besides, there are some applications that use neutrons, such as, in medicine and in exploring the different structures of matter specially in mining and geological investigations. Measurement of the neutron differential flux at different locations in substance is one of the best ways for accounting for the neutron penetration. Though accuracy of the experimental measurements are still somewhat high, yet the theoretical calculations are diversified. The present work gives statistical calculations based on simple solid geometry of the neutron scattering processes arising from a finite homogeneous mono-energetic circular beam falling normally on an infinite plane slab of material at any point within. Effects of inelastic scattering were also taken into consideration for special cases. |