Alpha particle spectroscopy for CR-39 detector utilizing matrix of energy equations

A method for determining alpha-particle energy using CR-39 detector by utilizing matrix of energy equation was described. The matrix was composed from two axes; the track minor axis (m) and diameter of etched out track end (d) axis of some selected elliptical tracks. The energy E   in (m,d)(m,d) coordinate was approximated by matrix of energy equations given by: Ek=∑i,j=02aijdkimkj, which was identified using two different approaches. First, i and j were treated as power exponents for d and m  . The adjusting parameters values aijaij were obtained and the energy of a given track was deduced directly from it. Second, i and j   were treated as indices of some chosen tracks that were fitted to obtain iso-energy curves that were superimposed on m–dm–d scatter plot as calibration curves. The energy between any two successive iso-energy curves in this case was assumed varied linearly with d for a given m. The energy matrix in both cases was solved numerically. Results of the two approaches were compared.