New approach of modeling charged particles track development in CR-39 detectors

•New modeling of ions track length evolution measured by different authors.•Ions considered are p, d, α, Li, B, C, N, O.•Equations obtained to describe L(t) and etch rate for all ions at wide energy range.•Equations obtained do not involve any free fitting parameters.•Ions range values obtained compare well with results of SRIM software.

In this work, previous modeling of protons and alpha particles track length development in CR-39 solid state nuclear track detectors SSNTD is modified and further extended. The extension involved the accommodation of heavier ions into the model. These ions include deuteron, lithium, boron, carbon, nitrogen and oxygen ions. The new modeling does not contain any case sensitive free fitting parameters. Model calculation results are found to be in good agreement with both experimental data and SRIM software range energy dependence predictions. The access to a single unified and differentiable track length development equation results in the ability to obtain direct results for track etching rates.