We report on radial dose distributions ##IMG## [http://ift.tt/2playim] {$D(r)$} for carbon ions calculated with Geant4-DNA code. These distributions characterize ion tracks on a nanoscale and are important for understanding the biological effects of ion beams. We present data for carbon ion beams in the energy range from 20 to 400 MeV u −1 . To approximate the Monte Carlo results, we developed a simple formula that combines the well-known inverse square distance dependence with a factor correcting ##IMG## [http://ift.tt/2pYp8bX] {$D(r)$} for small ##IMG## [http://ift.tt/2plhiNb] {$r$} . The proposed formula can be used to calculate ##IMG## [http://ift.tt/2pYBAs1] {$D(r)$} for any energy within the above ...
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