A study of extensive air shower characteristics by estimating depth of shower maximum using heitler toy model

One of the properties of longitudinal profile development in extensive air showers is depth of shower maximum in atmospheric cascade of particles initiated extensive air showers as a function of the primary energy. Study the characteristics of extensive air showers was fulfilled depending on a Hitler's model. The calculation of depth of shower maximum (X
_max
) in atmosphere was performed for particles initiated extensive air showers such us protons, photons, iron nuclei, water, carbon, lead, argon and hydrogen in the energy range between 10
¹⁴
and 10
¹⁹
eV. The comparison between calculated and simulated data of X
_max
was gave a good results for primary proton and iron nuclei.