Specificity of decomposition of solids in non-isothermal conditions

The thermal stability of the food additives Na metabisulphite, Na and K acetates, glutamic and citric acids, respective of the pharmaceuticals nifedipine and acetyl salicylic acid was studied by means of the non-isothermal kinetic (Friedman differential method). The specificity of the thermal decomposition was characterized by identification of the bond to be selective activated due to energy absorption at vibrational level. These bonds were assigned by comparison of calculated wave numbers with the wave number of the IR spectra. This revised version was published online in July 2006 with corrections to the Cover Date.     

The kinetic equation under non-isothermal conditions

Data generated from selected model expressions for solid-state kinetics have been analysed in terms of expressions of closely-related form to test distinguishability of the models on which the expressions are based. Random errors have then been introduced into these data and the data have been re-analyzed in terms of the original and closely-related expressions. As is to be expected, introduction of errors decreases distinguishability further and estimates have been made of the accuracy of measurement of the extent of reaction, α, required, the most suitable ranges of α to use, from plots of residuals, and the acceptable levels of various statistical parameters, for reliable distinction between alternative models.     

Kinetic study of the thermal decomposition of heterocyclic thiol complexes under non-isothermal conditions

The thermal decomposition in the solid-phase has been studied by thermogravimetric (TG) and differential thermal analysis (DTA) techniques for a number of heterocyclic thiol complexes. The method of Coats and Redfern was used to study the kinetics of the thermal decomposition process. The enthalpy changes and activation energies for the decomposition have been calculated.

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Zusammenfassung Die thermische Zersetzung in fester Phase wurde an einigen heterozyklischen Thiolkomplexen mit den Methoden der dynamischen Thermogravimetrie (TG) und der Differentialthermoanalyse (DTA) untersucht. Die Methode von Coats und Redfern wurde zum Studium der Kinetik des thermischen Zersetzungsvorganges eingesetzt. Die Enthalpie-Änderungen und Aktivierungsenergien der Zersetzung wurden berechnet.

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Résumé Etude de la décomposition thermique en phase solide de plusieurs complexes thiols hétérocycliques par thermogravimétrie (TG) et par analyse thermique différentielle (ATD). La méthode de Coats et Redfern a été appliquée pour déterminer la cinétique du processus de la décomposition thermique. Les variations d'enthalpie et les énergies d'activation de la décomposition ont été calculées.

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(TG) (DTA) . . .

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We are grateful to Prof. K. C. Joshi, Head of the Chemistry Department and Dr. A. K. Rai of Rajasthan University, Jaipur for permitting the generous use of the thermorecording balance at the University and to Dr. E. R. Saxena, Assistant Director, Mineral Products and Inorganic Chemicals Division and Mr. P. Narayanachar of Regional Research Laboratory, Hyderabad for their valuable assistance in taking DTA trace. Thanks are also due to Prof. V. V. S. Murti, Head of the Chemistry Department, University of Delhi for his interest in the work. The author (K. A. V.) thanks the University Grants Commission, New Delhi for the award of the fellowship under which these investigations have been carried out.     

Kinetic of sorbitol decomposition under non-isothermal conditions

The thermal behavior of sorbitol was studied under non-isothermal conditions, in both air and nitrogen atmosphere. The main process is a deep and continuous dehydration. For the kinetic analysis, the TG/DTG data obtained at five heating rates were processed by three different methods: Friedman, Budrugeac-Segal and non-parametric kinetic, respectively. This analysis indicates a complex reaction with a preponderant chemical process, described by a conversion function (1−α)^3/2, accompanied by diffusion.     

Comparative kinetic study of decomposition of some diazepine derivatives under isothermal and non-isothermal conditions

Thermal analysis is one of the most widely used methods for studying the solid state of pharmaceutical substances. TG/DTG and DSC curves provide important information regarding the physical properties of the pharmaceutical compounds (stability, compatibility, polymorphism, kinetic analysis, phase transitions etc.). The purpose of a kinetic investigation is to calculate the kinetic parameters and the kinetic model for the studied process. The results are further used to predict the system’s behaviour in various circumstances. A kinetic study regarding the diazepam, nitrazepam and oxazepam thermal decomposition was performed, under non-isothermal and isothermal conditions and in a nitrogen atmosphere, for the temperature steps: 483, 498, 523, 538 and 553 K. The TG/DTG data were processed by three methods: isothermal model-fitting, Friedman’s isothermal-isoconversional and Nomen-Sempere non-parametric kinetics. In the model-fitting methods the kinetic triplets (f(α), A and E _a) that defines a single reaction step resulted in being at variance with the multi-step nature of diazepines decomposition. The model-free approach represented by isothermal and non-isothermal isoconversional methods, gave dependences of the activation energies on the extent of conversion. It is very difficult to obtain an accord with the similar data which resulted under non-isothermal conditions from a previous work. The careful treatment of the kinetic parameters obtained in different thermal conditions was confirmed to be necessary, as well as a different strategy of experimental data processing.     

Determination of kinetic parameters from TG curves by non-linear optimization

The results obtained so far by kinetic analysis of non-isothermal experiments indicate that the kinetic parameters found by the conventional methods, in general, do not describe the experimental curve in an optimum manner. This is due to the fact that the initial differential equation is transformed into the logarithmic and, consequently, linear form and that the initial and final weights of the conversion curve cannot be determined exactly, which may falsify the slope of the curve.Investigations have shown that the determination of the kinetic parameters by non-linear optimization (simplex method) results in a better fit of the theoretical conversion curve to the experimental one. But this procedure gives optimum results only when the initial and final weights of the reaction can be determined exactly. If this is impossible, exact parameters can be obtained only by the use of the non-standardized TG curve.Examples are cited to prove that it is possible to evaluate overlapping reactions by the formation of intervals. However, the evaluation of conversion curves merely by the use of mathematical methods can easily result in an erroneous interpretation of the reaction course investigated. Therefore, it is necessary to check the mathematical results as to their physical and chemical meaning.     

Tin(II)-EDTA complex: kinetic of thermal decomposition by non-isothermal procedures

Tin on the oxide form, alone or doped with others metals, has been extensively used as gas sensor, thus, this work reports on the preparation and kinetic parameters regarding the thermal decomposition of Sn(II)-ethylenediaminetetraacetate as precursor to SnO₂. Thus, the acquaintance with the kinetic model regarding the thermal decomposition of the tin complex may leave the door open to foresee, whether it is possible to get thin film of SnO₂ using Sn(II)-EDTA as precursor besides the influence of dopants added.The Sn(II)-EDTA soluble complex was prepared in aqueous medium by adding of tin(II) chloride acid solution to equimolar amount of ammonium salt from EDTA under N₂ atmosphere and temperature of 50 °C arising the pH∼4. The compound was crystallized in ethanol at low-temperature and filtered to eliminate the chloride ions, obtaining the heptacoordinated chelate with the composition H₂SnH₂O(CH₂N(CH₂COO)₂)₂·0.5H₂O.Results from TG, DTG and DSC curves under inert and oxidizing atmospheres indicate the presence of water coordinated to the metal and that the ethylenediamine fraction is thermally more stable than carboxylate groups. The final residue from thermal decomposition was the SnO₂ characterized by X-ray as a tetragonal rutile phase.Applying the isoconversional Wall-Flynn-Ozawa method on the DSC curves, average activation energy: E_a=183.7±2.7 and 218.9±2.1 kJ mol⁻¹, and pre-exponential factor: and 19.10±0.27 min⁻¹, at 95% confidence level, could be obtained, regarding the loss of coordinated water and thermal decomposition of the carboxylate groups, respectively. The E_a and log A also could be obtained applying isoconventional Wall-Flynn method on the TG curves.From E_a and log A values, Dollimore and Malék procedures could be applied suggesting R3 (contracting volume) and SB (two-parameter model) as the kinetic model to the loss of coordinated water (177-244 °C) and thermal decomposition of the carboxylate groups (283-315 °C), respectively. Simulated and experimental normalized DTG and DSC curves besides analysis of residuals check these kinetic models.     

A non-isothermal kinetic study of the thermal decomposition of magnesium alkoxides and amides

The thermal decomposition of alkoxides and amides of magnesium have been studied by vacuum TGA under both isothermal and non-isothermal conditions. These compounds were found to follow a unimolecular decay law, which in integrated form is ln(1  α)  kt, where α is the fraction of material reacted, and k is the Arrhenius rate constant. The rate-controlling process is random nucleation, one nucleus on each particle. Energies of activation calculated by isothermal and non-isothermal methods agree to within ±20%.     

Kinetic of decomposition of some complexes under non-isothermal conditions

Kinetics of thermal decomposition of three structurally similar complexes Co₂Cu(C₂O₄)₃ (R-diam)₂, where R is ethyl, 1,2-propyl or 1,3-propyl, was studied under non-isothermal conditions and nitrogen dynamic atmosphere at heating rates of 5, 7, 10, 12 and 15 K min⁻¹. For data processing the Flynn-Wall-Ozawa and a modified non-parametric kinetic methods were used. By both methods the activation energy are in the range of 97–102 kJ mol⁻¹. The formal kinetic is r=kα(1−α)². Also a compensation effect between lnA and E was evidenced. The kinetic analysis lead to the conclusion of an identic decomposition mechanism by a single step process.     

Determination of some kinetic parameters of the thermal decomposition of alkali persulfates from DTA curves

Using the DTA curves the thermal decomposition of alkali persulfates for the corresponding pyrosulfates is shown to be a second order reaction with activation energies of 72.7–75.6 kcal mol^?1 for sodium persulfate and 67.7–69.1 kcal mol^?1 for potassium persulfate.     

Kinetic analysis of formation of boron trioxide from thermal decomposition of boric acid under non-isothermal conditions

Journal of Thermal Analysis and Calorimetry - This study investigated the kinetic analysis of the dehydration process of boric acid (H3BO3) and its transformation into boron trioxide (B2O3) under...     

The kinetic parameters of thermal decomposition hydrated iron sulphate

The thermal decomposition of iron sulphate hexahydrate was studied by thermogravimetry at a heating rate of 5°C min^?1 in static air. The kinetic parameters were evaluated using the integral method by applying the Coats and Redfern approximation. The thermal stabilities of the hydrates were found to vary in the order. Fe₂(SO₄)₃·6H₂O → Fe₂(SO₄)₃·4.5H₂O → Fe₂(SO₄)₃·0.5H₂O The dehydration process of hydrated iron sulphate was found to conform to random nucleation mass loss kinetics, and the activation energies of the respective hydrates were 89.82, 105.04 and 172.62 kJ mol^?1, respectively. The decomposition process of anhydrous iron sulphate occurs in the temperature region between 810 and 960 K with activation energies 526.52 kJ mol^?1 for the D3 model or 256.05 kJ mol^?1 for the R3 model.     

Synthesis and non-isothermal kinetic study of the thermal decomposition of gadolinium(III) complexes

Summary Pyrrolidinedithiocarbamate (Pyr), piperidinedithiocarbamate (Pip), morpholinedithiocarbamate (Mor) and diethanolaminedithiocarbamate (DEDC) ammonium salts; pyrrolidinedithiocarbamic acid-pyrrolidineammonium salt (HPyrPyr), piperidinedithiocarbamic acid-piperidineammonium salt (HPipPip), morpholinedithiocarbamic acid-morpholineammonium salt (HMorMor), hexamethylenedithiocarbamic acid-hexamethyleneammonium salt (HHexHex), diethanolaminedithiocarbamic acid-diethanolamineammonium salt (HDEADEDC) were synthesized, characterized by IR and elemental analysis and their thermal behaviours were investigated using thermogravimetry (TG) and differential scanning calorimetry (DSC).     

Thermodynamic,kinetic and surface texture factors in the production of active solids by thermal decomposition

The production of an active solid by thermal decomposition of some precursor material usually an oxysalt is only one way of producing such a material. The activity of any solid resides at the surface albeit some of the surface may be internal or in the decomposition process a reaction interface. The peculiar property of any solid phase is that to describe it properly one must cite the pre-history of the material, and it can be shown that the pre-history of any solid phase is mainly that of altering the surface and textural properties. This fact influences the application of thermodynamic and kinetics to processes involving the solid phase. This becomes more evident in the case of active solids where a larger proportion of chemical species than usual resides at or near the surface. This is evidenced by the existence of many or more active solids in an amorphous phase and the possible co-existence of different types of solid phase. In this review, the usefulness of normal solid phase structural determination is discussed and the manner in which thermal analysis can be used to determine thermodynamic and kinetic parameters.

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Zusammenfassung Die Herstellung eines aktiven Feststoffes durch thermische Zersetzung einiger Präkursorsubstanzen, meistens eines Oxysalzes, ist nur der eine Weg zur Herstellung solcher Substanzen. Die Aktivität der Feststoffe besteht an ihrer Oberfläche, obwohl sich ein Teil der Oberfläche auch im Innern oder bei Zersetzungsprozessen an der Reaktionsgrenzfläche befinden kann. Die eigentümliche Eigenschaft einiger Feststoffphasen besteht darin, da\ man, um sie richtig beschreiben zu können, die Vorgeschichte der Substanz berücksichtigen mu\ und es kann gezeigt werden, da\ die Vorgeschichte einer Substanz hauptsächlich die der Veränderung der Oberflache und der Feinstruktur ist. Diese Tatsache beeinflu\t die Anwendung von Thermodynamik und Reaktionskinetik bei Prozessen mit Feststoffen. Dies ist besonders bei aktiven Feststoffen offensichtlich, bei denen an oder in der Nähe der Oberfläche verhältnismä\ig mehr chemische Stoffe vorkommen als üblicherweise. Dies wird durch die Existenz von vielen oder mehreren aktiven Feststoffen in einer amorphen Phase und durch die mögliche Koexistenz verschiedenartiger Festphasen bezeugt. In vorliegendem überblick wird die Nützlichkeit der Strukturbestimmung normaler Feststoffphasen sowie die Art der möglichen Anwendung der Thermoanalyse bei der Bestimmung thermodynamischer und kinetischer Parameter diskutiert.

     

Usefulness of kinetic parameters in investigations of thermal decompositions of solids

The theoretical curves in the coordinates a vs. time for isothermal, and avs. temperature for non-isothermal experiments are calculated as functions of three kinetic parameters: activation energyE, pre-exponentical factorA and theg() function describing the mechanism of thermal decomposition of solids. The results show that conclusions not taking into consideration all three parameters can lead to information of little value concerning the mechanism of the decomposition and kinetic calculations. A correlation between non-isothermal and isothermal experiments, important for determination of the thermal stabilities of the compounds, is impossible without a knowledge of theg() function.

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Zusammenfassung Theoretische Umsatzkurven gegent für isotherme bzw gegen Temperatur für nichtisotherme Versuchsführung wurden berechnet in Abhängigkeit von den drei kinetischen Parametern AktivierungsenergieE, PräexponentialfaktorA und derg()-Funktion, die den Mechanismus der Zersetzung von Festkörpern beschreibt. Die Ergebnisse zeigen, dass Schlussfolgerungen, die nicht alle drei Parameter berücksichtigen, zu, Ergebnissen von geringer Aussagekraft bezüglich des Zersetzungsmechanismus und der kinetischen Interpretation führen. Eine Korrelation nicht-isothermer und isothermer Experimente, die für die Bestimmung der thermischen Stabilität der Verbindungen wichtig ist, ist ohne Kenntnis der Funktiong() unmöglich.

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- - : , - g(), . , , , . , g().

     

Determination of the kinetic parameters from non-isothermal measurements with a general temperature program

This paper deals with a new method for the evaluation of the kinetic parameters from thermogravimetric measurements with a general temperature program. The procedure assumes the use of a computer or calculator. In principle, it is an integral method with two variants. The kinetic parameters can be determined from a single and/or from two general temperature programs. This method is free of the shortcomings that the existing method has, i.e. the self-heating and/or self-cooling, resulting in errors in measurements and the limitation of the weight of sample. The two variants of the submitted method have been tested by evaluation of the experimental data of the thermal decomposition of CaCO₂.     

Use of the quartz crystal microbalance for kinetic studies of thermal decomposition of solids

A quartz crystal microbalance has been proposed for studies on the temperature dependence of the linear rate of a reaction interface advance in topochemical reactions of the thermal decomposition of solids. A quartz crystal microbalance has been used in investigations of the CuSO₄ · 5H₂O dehydration. The data agree fairly well with those available in the literature. Advantages and disadvantages of the method proposed are discussed.     

Determination of the kinetic parameters from differential thermal analysis

A theory of differential thermal analysis for a block-type system with spherical cells packed with inert material is developed. From the solution of DTA equations, a method for determining the reaction order, activation energy and frequency factor of the Arrhenius equation is presented. This method is applied to the decomposition of magnesite. The agreement between theory and experiment is very good.