Arrhenius activation energy and transitivity in fission-track annealing equations

Autor: Rufino, Matheus, 1994, Oliveira, Sandro Guedes de, 1973
Přispěvatelé: UNIVERSIDADE ESTADUAL DE CAMPINAS
Rok vydání: 2022
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Zdroj: Repositório da Produção Científica e Intelectual da Unicamp
Universidade Estadual de Campinas (UNICAMP)
instacron:UNICAMP
Popis: Agradecimentos: This work has been funded grant 308192/2019-2 by the National Council for Scientific and Technological Development (Brazil). The code for calculation of the Closure and Total Annealing Temperatures is coauthored by Arnaldo Luis Lixandrão Filho and Sandro Guedes. Discussion with Dr. Mukhtar Rana about the first version of this paper helped us to clarify some ideas. We also thank Prof. Richard Ketcham for the help with the parameters from his 2007 article, abundantly cited in this paper. We are also grateful to Prof. Balz Kamber and two anonymous reviewers for their constructive feedback that really helped to improve this paper Abstract: Fission-track annealing models aim to extrapolate laboratory annealing kinetics to the geological timescale for application to geological studies. Model trends empirically capture the mechanisms of track length reduction. To facilitate the interpretation of the fission-track annealing trends, a formalism, based on quantities already in use for the study of physicochemical processes, is developed and allows for the calculation of rate constants, Arrhenius activation energies, and transitivity functions for the fission-track annealing models. These quantities are then obtained for the parallel Arrhenius, parallel curvilinear, fanning Arrhenius, and fanning curvilinear models, and fitted with Durango apatite data. Parallel models showed to be consistent with a single activation energy mechanism and a reaction-order model of order approximate to - 4. However, the fanning curvilinear model is the one that results in better fits laboratory data and predictions in better agreement with geological evidence. Fanning models seem to describe a more complex picture, with concurrent recombination mechanisms presenting activation energies varying with time and temperature, and the reaction-order model seems not to be the most appropriate. It is apparent from the transitivity analysis that the dominant mechanisms described by the fanning models are classical (not quantum) energy barrier transitions CONSELHO NACIONAL DE DESENVOLVIMENTO CIENTÍFICO E TECNOLÓGICO - CNPQ Fechado
Databáze: OpenAIRE
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