Authors:A. Mukherjee, S. Mishra, and N. Krishnamurthy
of Eq. 6 is called the temperatureintegral, which does not have an analytical solution.
If it is assumed that x = E/RT , then reduces to ; where P( x ) is an infinite function of x . Hence, substituting the values of temperature
heating rate, and which is the temperatureintegral [ 18 ] (in Ref. [ 13 ] we provide some numerical recipes for calculating the temperatureintegral).
Conventional isoconversional methods are known as integral methods because they are based on
Authors:Hichem Eloussifi, Jordi Farjas, Pere Roura, and Mohamed Dammak
which a degree of transformation α j is reached when the sample is heated at the heating rate β i , and is the temperatureintegral [ 10 , 25 ]. Conversely, Roduit’s method delivers the degree of transformation once a time interval Δ t has elapsed
Authors:Liang Xue, Feng-Qi Zhao, Xiao-Ling Xing, Zhi-Ming Zhou, Kai Wang, Hong-Xu Gao, Jian-Hua Yi, Si-Yu Xu, and Rong-Zu Hu
model function, and α is the conversion degree, a and b are coefficients.
The combination of Eqs. 10 – 13 can give the following equation:
The limit of the temperatureintegral in Eq. 14 is from T e0 to T b .
Authors:B. Hefczyc, T. Siudyga, J. Zawadiak, and A. Mianowski
–Redfern approximation [ 14 , 15 ] of the temperatureintegral in Eq. 2 , which gives the following equations [ 16 ]
To obtain the kinetic parameters from Eq. 1 , f (α) functions were selected using the criteria proposed in [ 17 ].
Authors:C. U. Aniz, P. P. Robinson, K. K. Abdul Rashid, and T. D. Radhakrishnan Nair
uses the Coats–Redfern approximation of the temperatureintegral. The method is based on the measurement of temperatures for each conversion degree α and different heating rates β. The integral form of the KAS equation is,
where A = Arrhenius
Authors:Douglas L. Cassimiro, Clóvis A. Ribeiro, Jorge M. V. Capela, Marisa S. Crespi, and Marisa V. Capela
decomposition step of the compound were estimated by the Capela-Ribeiro nonlinear isoconversional method, using fourth-order rotational approximation of the temperatureintegral [ 6 ]. For a given conversion α and a set of n experiments carried out at
Authors:Hernani S. Barud, Clóvis A. Ribeiro, Jorge M. V. Capela, Marisa S. Crespi, Sidney. J. L. Ribeiro, and Younes Messadeq
were estimated by the Capela-Ribeiro non-linear isoconversional method, using 4th-order rotational approximation of the temperatureintegral [ 24 ]. For a given conversion α and a set of n experiments carried out at different heating rates β i ( i
Authors:Adelia Emilia de Almeida, Ana Luiza Ribeiro Souza, Douglas Lopes Cassimiro, Maria Palmira Daflon Gremião, Clóvis Augusto Ribeiro, and Marisa Spirandeli Crespi
activation energy from dynamic data can be obtained from the Flynn–Wall–Ozawa isoconversional method [ 26 – 28 ], with Doyle’s approximation of p ( x ). The p(x) is defined by equation , temperatureintegral or integral of Arrhenius [ 29 ] which involves