On shukolyukov equation for the fading of fission tracks in minerals

Abstract

Abstract In this paper it is shown that the differential equation to describe the fading of fission tracks in minerals proposed by Shukolyukov et al. (trans. from Geokhimiya Ǎo3, pp. 291–301, 1965) should be correct in first approximation since its solution for a particular condition where the activation energy E is taken as constant gives the linear relation between log t and T-1, for constant values of ρ/ρ0, known as Arrhenius plots. It is also shown that another experimental result, the linear variation of ρ/ρ0 with log t for constant T is not independent from Arrhenius plots for a given ρ/ρ0 if E is given by E = β ρ/ρ0 + γ, where β and γ are constants, as proposed by Dakowski et al. (Bull.Acad.Polon.Sci.Ser.Terre 22, pp. 11–17, 1974) for minerals. Then there is some consistency so that Shukolyukov equation with E given by E = β ρ/ρ0 + γ can be proposed as a interesting tool for further studies on fading of fission tracks in minerals.