Abstract In a previous paper (Thermochim. Acta 670 (2018) 1–6) it was shown that the estimation of errors ( Δ E ) in the determination of apparent activation energies (E) determined by a nonlinear isoconversional method applied for thermoanalytical measurements performed under constant heating rates involves the following successive steps: (1) the determination of Fisher confidence interval ( Δ F E ) for confidence level of 95 % by applying the procedure suggested by Vyazovkin and Wight, and (2) the application of the relation: Δ E = 0.2447 × Δ F E + 0.00037 × Δ F E 2 . The check of this procedure when using advanced nonlinear incremental isoconversional method (A-NL method) suggested by Vyazovkin is applied for thermoanalytical data under arbitrary temperature programs has been performed for: simulated sinusoidal modulated data, thermogravimetric (TG) data for thermal decomposition of a sort of high density polyethylene (HDPE) under quasi-isothermal conditions, and TG data corresponding to thermal decomposition of a sort of low density polyethylene under arbitrary temperature programs. It has been concluded that the suggested procedure for estimating the error in E evaluation based on above relationship is also applicable when A-NL method is used for kinetic analysis of thermoanalytical data recorded under arbitrary temperature programs.

中文翻译：

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应用在任意温度程序下进行热分析测量的先进非线性等转换方法确定活化能的估计误差

摘要 在之前的一篇论文 (Thermochim. Acta 670 (2018) 1–6) 中表明，在确定表观活化能 (E) 时，误差 (ΔE) 的估计由应用于热分析测量的非线性等转换方法确定。在恒定加热速率下，包括以下连续步骤：(1) 通过应用 Vyazovkin 和 Wight 建议的程序，确定 95% 置信水平的 Fisher 置信区间 (ΔFE)，以及 (2) 关系的应用：Δ E = 0.2447 × Δ FE + 0.00037 × Δ FE 2 。当使用 Vyazovkin 建议的高级非线性增量等转换方法（A-NL 方法）时，此程序的检查适用于任意温度程序下的热分析数据，已用于：模拟正弦调制数据，准等温条件下一种高密度聚乙烯 (HDPE) 热分解的热重 (TG) 数据，以及一种低密度聚乙烯在任意温度程序下的热分解对应的热重 (TG) 数据。已经得出结论，当 A-NL 方法用于在任意温度程序下记录的热分析数据的动力学分析时，基于上述关系估计 E 评估误差的建议程序也适用。