Generalization of the Fission-Track Arrhenius Annealing Equations

A reappraisal of the principle of equivalent time based on physicochemical methods

“…( CM1)) that mixes the Parallel Arrhenius and Parallel Curvilinear models in the same equation (Carlson, 1990), are used in this analysis. The transformation function ( ) = ln(1 − ) was chosen because it carries no fitting parameters and was shown to produce good fits to annealing data (Guedes et al, 2022). In addition, it arises naturally from the physicochemical formulation of the fission track annealing (Rufino and Guedes, 2022), as will be shown below.…”

“…In addition, it arises naturally from the physicochemical formulation of the fission track annealing (Rufino and Guedes, 2022), as will be shown below. More comprehensive descriptions of the annealing models can be found elsewhere (Carlson, 1990;Ketcham, 2019;Guedes et al, 2022). (Carlson et al, 1999).…”

“…The annealing data set on the c-axis projected fission tracks for Durango apatite (Carlson et al, 1999) was used for model fitting. Durango apatite annealing data was chosen because Durango is a well-known standard sample often used in methodological studies (Green et al, 1986;Carlson, 1990;Ketcham et al, 1999Ketcham et al, , 2007Rana et al, 2021;Guedes et al, 2022;Rufino and Guedes, 2022). The fitting parameters for PA, PC, FA and FC models are the same presented in Rufino and Guedes (2022).…”