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An analytical equation for calculating radial dose of heavy ions in water isintroduced by Awad et al. (Applied Radiation and Isotopes, 142 (2018) 135-142.It is simple alternative to Monte Carlo code and is a promising code, however,still needs refinement. Refinement was added through adjusting radial doseintegration upper limit which gives the effective delta-ray range, rmax andions penumbra radius in water as well. Radial dose distributions for 85 ionsforming fifteen energy groups from 0.25 to 24 MeV/n were studied. By employingthe effective delta-ray range, it was possible to get more consistent radialdose distribution in comparison to experimental and Monte Carlo simulationdata. The corresponding LET values of those ions were estimated and comparedwith SRIM program. Penumbra radii for 85 ions were determined. Good descriptionfor the penumbra radii was obtained using a proposed new equation which fitsexperimental data as well.

Radial dose distribution and effective delta ray radius (Penumbra radius): Determination for some ions passing through water