title: Kinetic analysis of non-isothermal solid-state reactions: multi-stage modeling without assumptions in the reaction mechanism.
abstract: A novel non-linear regression method for modeling non-isothermal thermogravimetric data is proposed. Experiments for several heating rates are analyzed simultaneously. The method is applicable to complex multi-stage processes when the number of stages is unknown. Prior knowledge of the type of kinetics is not required. The main idea is a consequent estimation of parameters when the overall model is successively changed from one level of modeling to another. At the first level, the Avrami-Erofeev functions are used. At the second level, the Sestak-Berggren functions are employed with the goal to broaden the overall model. The method is tested using both simulated and real-world data. A comparison of the proposed method with a recently published 'model-free' deconvolution method is presented.
authors.affiliation: Semenov Institute of Chemical Physics RAS, Kosygin str. 4, 119991, Moscow, Russia. forecast@chph.ras.ru and Institute of Natural and Technical Systems RAS, Kurortny pr. 99/18, 354024, Sochi, Russia.
authors.forename: Alexey L
authors.identifier: http://orcid.org/0000-0001-7402-4011
authors.initials: AL
authors.lastname: Pomerantsev
authors.affiliation: Semenov Institute of Chemical Physics RAS, Kosygin str. 4, 119991, Moscow, Russia. forecast@chph.ras.ru.
authors.forename: Alla V
authors.initials: AV
authors.lastname: Kutsenova
authors.affiliation: Semenov Institute of Chemical Physics RAS, Kosygin str. 4, 119991, Moscow, Russia. forecast@chph.ras.ru.
authors.forename: Oxana Ye
authors.initials: OY
authors.lastname: Rodionova