Iterative method to improve calculation of the pre-exponential factor for dynamic thermogravimetric analysis measurements

Zhiming Gao; Huixian Wang; Masahiro Nakada

doi:10.1016/j.polymer.2006.01.053

Iterative method to improve calculation of the pre-exponential factor for dynamic thermogravimetric analysis measurements

Zhiming Gao^*, Huixian Wang, Masahiro Nakada

^*Corresponding author for this work

School of Chemistry and Chemical Engineering

Research output: Contribution to journal › Article › peer-review

14 Citations (Scopus)

Abstract

The conventional isoconversional plot of ln(β/T²) versus 1/T usually has a large error of about -10% in calculation of the pre-exponential factor as a consequence of assuming h(x)=1. Iterative calculation using the plot of ln(β/hT²) versus 1/T is thus suggested. It is illustrated that the iterative method can greatly improve calculation for the pre-exponential factor. Success in calculation for the pre-exponential factor is accompanied by an enhanced accuracy in value of activation energy given by the iterative method in comparison with the conventional isoconversional plot of ln(β/T²) versus 1/T. One explanation is due to the compensation effect of the Arrhenius parameters. The iterative method has been applied to thermal degradation reactions of poly(methyl methacrylate) (PMMA) and polyethylene.

Original language	English
Pages (from-to)	1590-1596
Number of pages	7
Journal	Polymer
Volume	47
Issue number	5
DOIs	https://doi.org/10.1016/j.polymer.2006.01.053
Publication status	Published - 22 Feb 2006

Keywords

Isoconversional plot
Iterative method
Pre-exponential factor

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10.1016/j.polymer.2006.01.053

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title = "Iterative method to improve calculation of the pre-exponential factor for dynamic thermogravimetric analysis measurements",

abstract = "The conventional isoconversional plot of ln(β/T2) versus 1/T usually has a large error of about -10% in calculation of the pre-exponential factor as a consequence of assuming h(x)=1. Iterative calculation using the plot of ln(β/hT2) versus 1/T is thus suggested. It is illustrated that the iterative method can greatly improve calculation for the pre-exponential factor. Success in calculation for the pre-exponential factor is accompanied by an enhanced accuracy in value of activation energy given by the iterative method in comparison with the conventional isoconversional plot of ln(β/T2) versus 1/T. One explanation is due to the compensation effect of the Arrhenius parameters. The iterative method has been applied to thermal degradation reactions of poly(methyl methacrylate) (PMMA) and polyethylene.",

keywords = "Isoconversional plot, Iterative method, Pre-exponential factor",

author = "Zhiming Gao and Huixian Wang and Masahiro Nakada",

year = "2006",

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doi = "10.1016/j.polymer.2006.01.053",

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journal = "Polymer",

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TY - JOUR

T1 - Iterative method to improve calculation of the pre-exponential factor for dynamic thermogravimetric analysis measurements

AU - Gao, Zhiming

AU - Wang, Huixian

AU - Nakada, Masahiro

PY - 2006/2/22

Y1 - 2006/2/22

N2 - The conventional isoconversional plot of ln(β/T2) versus 1/T usually has a large error of about -10% in calculation of the pre-exponential factor as a consequence of assuming h(x)=1. Iterative calculation using the plot of ln(β/hT2) versus 1/T is thus suggested. It is illustrated that the iterative method can greatly improve calculation for the pre-exponential factor. Success in calculation for the pre-exponential factor is accompanied by an enhanced accuracy in value of activation energy given by the iterative method in comparison with the conventional isoconversional plot of ln(β/T2) versus 1/T. One explanation is due to the compensation effect of the Arrhenius parameters. The iterative method has been applied to thermal degradation reactions of poly(methyl methacrylate) (PMMA) and polyethylene.

AB - The conventional isoconversional plot of ln(β/T2) versus 1/T usually has a large error of about -10% in calculation of the pre-exponential factor as a consequence of assuming h(x)=1. Iterative calculation using the plot of ln(β/hT2) versus 1/T is thus suggested. It is illustrated that the iterative method can greatly improve calculation for the pre-exponential factor. Success in calculation for the pre-exponential factor is accompanied by an enhanced accuracy in value of activation energy given by the iterative method in comparison with the conventional isoconversional plot of ln(β/T2) versus 1/T. One explanation is due to the compensation effect of the Arrhenius parameters. The iterative method has been applied to thermal degradation reactions of poly(methyl methacrylate) (PMMA) and polyethylene.

KW - Isoconversional plot

KW - Iterative method

KW - Pre-exponential factor

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U2 - 10.1016/j.polymer.2006.01.053

DO - 10.1016/j.polymer.2006.01.053

M3 - Article

AN - SCOPUS:32544439844

SN - 0032-3861

VL - 47

SP - 1590

EP - 1596

JO - Polymer

JF - Polymer

IS - 5

ER -

Iterative method to improve calculation of the pre-exponential factor for dynamic thermogravimetric analysis measurements

Abstract

Keywords

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