Dear Hesham Yousef ,

you may have a look for example at:

Thesis Calculation of the Stopping Power and Range for alpha partic...

Thank you very much

My default solution would be to run a simulation in SRIM (Stopping and Range of Ions in Matter). Can be found at http://www.srim.org

This tool is used by most (if not all) labs that deal with ions interacting with matter of some sort.

Dear Yousef

In first approximation you can use the simple formula I(x) = I(0) exp(-Σ x), where Σ is the macroscopic cross section. From here, you have the probability distribution p such that p(x)dx is the probability that a particle of a beam travels a distance x

without interacting and interacts in the interval dx in x: p(x) = Σ exp(−Σ x). For more precise calculations you should use codes.

The range of alpha-particles in matter is generally calculated by using Brag-Kleeman formula for range of alpha-particles in a matter. First, calculate the range of alpha-particles in air by using very well known Geiger formula, and then use the calculated range of alpha-particles in air in the Brag-Kleeman formula. Details of the calculation of the range of alpha-particles in natural water have been given in my very recent published article entitled “Theoretical evaluation of calibration factor for CR-39 track detector for alpha radioactivity measurement in natural water” - https://doi.org/10.1016/j.radphyschem.2021.109511.

Thank you very much

Ok. You can read my article for knowing alpha-range calculations in details.

Heavily charged particles move slowly as they move through the medium or matter. The amount of energy lost will vary depending on the kinetic energy. In other words, the speed of the incoming particle plays an important role in the amount of energy lost while passing through a medium. Depending on the range, energy is stored in the medium at the end of the particle's path. When the end is reached, the charged particle captures the electron and the stopping power decreases. Ion pairs are formed as the photon energy coming from the sun destabilizes the electron in the last orbit during photosynthesis in plants and makes an ion pair between the scattered electron and the positron. In the treatment of cancer cells, a heavily charged particle is used in radiotherapy to break down the cancerous cell without damaging the healthy tissue. If the stopping power of the particle is known, we can calculate where it will reach in the medium. R=∫dx=∫ dx/dE=∫dE/S(E). S(E)= -dE/dx S(E) is the stopping power or energy loss.