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. 2017 Sep 7;7:10790. doi: 10.1038/s41598-017-10820-1

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© The Author(s) 2017

Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/.

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Radial energy deposition around protons of different energies. In (a), rate of energy deposition as a function of distance from the primary track shows an increasing amount of energy is deposited as particles slow, with the greatest density within a few nm of the track. However, (b) shows a normalised cumulative energy distribution as a function of distance from the track. Due to the small volume near the track the total energy deposited energy is relatively small, with a large fraction of deposited at long distances, even beyond 1 μm for the most energetic protons.