The Prout-Tompkins rate equation in solid-state kinetics

Brown, Michael E.

doi:10.1016/s0040-6031(96)03119-x

Cited by 129 publications

(84 citation statements)

References 75 publications

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“…This behavior is consistent with a Prout-Tompkins mechanism (Brown, 1997;Khawam and Flanagan, 2006) according to which calcination is started after a certain induction period at nucleation sites such as surface structural defects where reactivity is higher. Once calcination is initiated, its speed is increased as it progresses and, as conversion approaches unity, calcination is decelerated.…”

Section: Thermogravimetric Experimental Analysissupporting

confidence: 87%

On the negative activation energy for limestone calcination at high temperatures nearby equilibrium

Valverde

2015

Chemical Engineering Science

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Section: Thermogravimetric Experimental Analysissupporting

confidence: 87%

On the negative activation energy for limestone calcination at high temperatures nearby equilibrium

Valverde

2015

Chemical Engineering Science

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“…For  →  Equation (4) reduces to the familiar Proud-Tompkins kinetic expression [37]. For 1   <  it is possible to enforce the initial condition  = 0 at t = 0 by setting t I = /k.…”

Section: Thermomat Heat Stabilitymentioning

confidence: 99%

Heat stabilising flexible PVC with layered double hydroxide derivatives

Labuschagne

Molefe

Focke

et al. 2015

Polymer Degradation and Stability

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The layered double hydroxide ([Mg 0.667 Al 0.333 (OH) 2 ](CO 3 ) 0.167 ·mH 2 O) (LDH) has found application as a heat stabiliser for PVC. Derivatives of this compound were synthesised using a hydrothermal method. Emulsion grade PVC was plasticised with 100 phr diisononyl phthalate and stabilised with 30 phr of the LDH filler additives. Heat stabilities were determined at 200 C. The dynamic heat stability tests were performed on the plastisols using the torque rheometer method. Static heat stability was evaluated on the fused compounds. It was evaluated from discoloration profiles of strips exposed for various lengths of time to heat in a Metrastat oven. The time dependence of hydrogen chloride evolution was followed with a Metrohm Thermomat instrument. The conventional LDH provided the best dynamic heat stability. However, partial replacement of the magnesium with copper significantly delayed the release of volatile HCl. If instead the replacement was done using zinc, better colour retention was achieved.

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“…Although this form is also frequently observed for chemical reactions, use of the logistic curve is not commonly treated in elementary chemistry even though it has a long history of application in chemical kinetics. Despite several earlier uses of the autocatalytic logistic reaction model, this approach is often referred to as the ProutTompkins model [2,3], which in differential form is…”

Section: Introductionmentioning

confidence: 99%

Use and misuse of logistic equations for modeling chemical kinetics

Burnham

2015

J Therm Anal Calorim

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A generalized logistic function has been proposed as a kinetic analysis method that is superior to traditional methods. In fact, the parameter s in the generalized logistic function has an effect on the reaction profile similar to the parameter n in the extended Prout-Tompkins model for autocatalytic reactions. Furthermore, the comparisons made in some papers to traditional methods were made by using the discredited method of determining kinetic parameters from a single heating rate, so they are misleading compared to proper kinetic analysis methods that simultaneously analyze multiple thermal histories. In addition, the current implementation of the generalized logistic function of fitting each experiment individually is prone to introduce errors in the kinetic parameters. Guidance is given on how the generalized logistic function might be used for proper chemical kinetic analysis.

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The Prout-Tompkins rate equation in solid-state kinetics

Cited by 129 publications

References 75 publications

On the negative activation energy for limestone calcination at high temperatures nearby equilibrium

On the negative activation energy for limestone calcination at high temperatures nearby equilibrium

Heat stabilising flexible PVC with layered double hydroxide derivatives

Use and misuse of logistic equations for modeling chemical kinetics

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