Verification Makhov,s profile for slow positron in Germanium

Abstract

In this paper the mean penetration depths z₀ and  Makhov (Implantation) profile I(z,E) were evaluated for low energies positrons(1.5-30/keV)by using a distribution function of  Valkealahti - Nieminen for Germanium for different thicknesses:0.2, 0.4,0.8,1.2,1.4,1.6 μm. The obtained results reveals that the values of  Makhov^,s  profile  decreased exponentialy with increasing the positron energy  and profile depths increasing linearly  with increasing  the incident energy. The shape of the Makhov^,s  profile reflects the shape of the energy spectrum of the positrons, which  indicates  the annihilation of positrons  inside the material  where  its  wavefunction is delocalized.