Statistical analysis of thermoanalytical experimental data

A statistical technique based on the Wilcockson criterion is suggested for estimation of the reproducibility of thermoanalytical experiments. Reduction of the whole physicochemical process to a quasi-one-stage process is described.This work was carried out partially with the aid of International Science Foundation (Programme Students and Post-Graduate Students).     

The thermal decomposition of hydrocarbon copolymers-IV Kinetics of decomposition of copolymers incorporating styrene

The kinetics of thermal decomposition of a series of copolymers of structure with n = 0, 1, 3, 4 and 5 have been studied. Activation energies have been evaluated and used to compare the stabilities of the various copolymers with polyethylene and polystyrene. It was found that the apparent order of the overall decomposition reaction (as studied by weight-loss measurements) varied with conversion and temperature. It is concluded that the mechanism of thermal breakdown is complex.     

Kinetics of CO2 formation in thermal destruction of brown coals

The previously suggested approach to the problem of kinetic system identification /1/ was used for the system of independent first order reactions. The analysis of the curves of CO₂ formation in thermal destruction of brown coal indicates that both structure and model parameters of real processs can be identified in terms of the continuity concepts.

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(I) ë . CO₂ , , .

     

Synthesis,structure, and thermal destruction of aroxytetraphenylstiboranes

A series of aroxytetraphenylstiboranes, Ph₄SbOAr, were obtained by the reaction of pentaphenylstiborane with phenols at 20 °C. The thermolysis of these compounds givesO- or o-C-phenylation products. The thermolysis of stiboranes, which incorporate aryl groups containing electron-withdrawing substituents (Ar=2,4-Br₂, 2,4-Cl₂, 2-NO₂, 4-OPh) produces predominantly simple diaryl ethers of asymmetric structure in 58 %, 90 %, 32 %, and 60 % yields, respectively.Translated fromIzvestiya Akademii Nauk. Seriya Khimicheskaya, No. 5, pp. 958–963, May, 1995.     

Characterization of some commercial poly (styrene-divinylbenzene) copolymers for reversed-phase HPLC1

Summary The properties of the poly(styrene-divinylbenzene) copolymers PRP-1 and PLRP-S have been studied by infrared spectroscopy and chromatographic techniques. The following results were obtained: PRP-1 and PLRP-S are spectroscopically very similar. Their surfaces are chemically neither homogeneous nor stable during use. Retained nonpolar solutes should be eluted with a mobile phase containing tetrahydrofuran. Uncharged acids and anions can be chromatographed without difficulty. Cations of amines should be chromatographed only with a mobile phase of low pH. Uncharged amino-alcohols cannot be chromatographed without the addition of a competitor. Presented at the 16th International Symposium on Chromatography, Paris, France, September 1986     

Lifetime prediction of ABS polymers based on thermoanalytical data

The service life of ABS polymer, stabilized by 2-(3,5-di-tert-butyl-4-hydroxyanilino)-4,6-bis(octylthio)-1,3,5-triazine and containing 50% of a modifying rubber component, was estimated from oxidative induction times measured by DSC in isothermal mode in the temperature interval 140–170°C. The lifetime of ABS powder at the actual temperature of drying was predicted by linear extrapolation according to Arrhenius. However, the extrapolated value was much longer than the real lifetime determined from the long-term oven aging tests at 70 and 90°C, simulating the industrial drying process. The effect of changes in the apparent activation energy of oxidation due to antioxidant consumption during polymer aging is discussed.     

Kinetic evaluation of non-isothermal thermoanalytical curves in the case of independent thermal reactions

A least squares curve-fitting method was developed for the following thermo-analytical problem: “Find the kinetic parameters and the unknown initial amounts of the reactants from non-isothermal thermoanalytical curves in the case of two or more independent or quasi-independent thermal reactions”. From a numerical point of view this problem differs from the non-linear least squares techniques used in other areas of reaction kinetics. The special difficulties which have arisen in such calculations were eliminated by parameter transformations and by separating the linear and non-linear parts of the problem. The method can be applied at any T(t) functions. Thermo-analytical curves differing in temperature program can be evaluated simultaneously.     

A comparative study of the thermal stability of coordination compounds by thermoanalytical methods

The informative capacity of thermal analysis in the evaluation of the thermal stability of coordination compounds involving the evolution of volatile ligands is discussed. The temperature of decomposition under quasi-equilibrium conditions (Q-derivatograph, quasi-isobaric, quasi-isothermal operation) is suitable for characterizing the thermodynamic stability of compounds. The initial temperature of decomposition at linear heating indicates the reaching of a defined value of the rate constant (depending on the sensitivity of the sensing device of the instrument and on experimental conditions). The temperature sequence of increasing thermal stability may not coincide with the sequence of increasing activation energy values, since in the majority of cases it demands on the value of activation enthropy.

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Zusammenfassung Die informative Kapazität der Thermoanalyse bei der Bewertung der thermischen Stabilität von Koordinationsverbindungen in Thermolysevorgängen unter Entwicklung flüchtiger Liganden wird vorgestellt. Die Temperatur der Thermolyse unter Quasi-Gleichgewichtsbedingungen (Q-Derivatograph, quasi-isobare und quasi-isotherme Prozesse) eignet sich zur Charakterisierung der thermodynamischen Stabilität der Verbindungen. Die Temperatur des Beginns der Thermolyse bei linearem Aufheizen zeigt das Erreichen eines definierten Wertes der Geschwindigkeitskonstante an (in Abhängigkeit von der Empfindlichkeit des Fühlers des Gerätes und von den Versuchsbedingungen). Die Temperatursequenz der zunehmenden Thermostabilität stimmt nicht nötigerweise mit der Sequenz der zunehmenden Werte der Aktivierungsenergie überein, da erstere in den meisten Fällen von der Aktivierungsenthropie abhängt.

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Résumé L'aptitude de l'analyse thermique à servir de source de données pour l'évaluation de la stabilité thermique des composés de coordination lors des réactions de décomposition mettant en jeu l'élimination de ligands volatils est discutée. En conditions de quasi-équilibre (Derivatograph-Q, opérations quasi-isobares, quasi-isothermes) la température de la décomposition thermique peut Être utilisée pour caractériser la stabilité thermodynamique des composés. La température du début de la décomposition en chauffage linéaire indique l'obtention d'une valeur définie de la constante de vitesse (qui dépend de la sensibilité du dispositif détecteur de l'appareil et des conditions expérimentales). L'ordre de succession des températures définissant l'augmentation de la stabilité thermique peut ne pas coincider avec celui des valeurs de l'énergie d'activation, puisque dans la majorité des cas il dépend de la valeur de l'entropie d'activation.

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, . - (Q-, - , - ) . . , .

     

The characterization of the thermal behaviour of inorganic fluorides using quasi-static thermoanalytical methods

Quasi-static thermal analysis is very useful for the characterization of the thermal behaviour of inorganic fluorides. The strong dependence of the thermal decomposition of hydroxonium fluorometallates, monofluorophosphates, and ammonium fluorometallates on the partial pressure is demonstrated. Non-reciprocal quasi-isobaric investigations are specially suitable to disclose this behaviour. The possibilities of characterization of the reaction mechanism using quasi-static thermal analytical methods as well as the use of these methods as synthetic variants for phase-pure fluorides are demonstrated by further examples. In this context the repression of the amount of hydrolysis products is discussed.

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Zusammenfassung Quasi-statische thermoanalytische Methoden sind sehr gut für die Charakterisierung anorganischer Fluoride geeignet. Am Beispiel der termischen Zersetzung von Hydroxoniumfluorometallaten, Monofluorophosphaten und Ammoniumfluorometallaten wird der starke Einfluss von Partialdruckänderungen demonstriert. Besonders wichtig sind quasi-isobare, nicht-reziproke Verfahren für die Untersuchung dieses Verhaltens. An Beispielen wird auch die Möglichkeit der Reaktionsaufklärung mit quasi-statischen thermoanalytischen Methoden gezeigt. Die gleichen Methoden eignen sich darüber hinaus als Synthesevariante für phasenreine Fluoride. In diesem Zusammenhang werden die Möglichkeiten der Herstellung von Fluoriden mit geringem Hydrolysegrad ausführlich diskutiert.

     

Critical investigation of methods for kinetic analysis of thermoanalytical data

Journal of Thermal Analysis and Calorimetry -     

Kinetics and mechanism of the decomposition of pyrite under conventional and quasi-isothermal — quasi-isobaric thermoanalytical conditions

The kinetics and mechanism of the thermal decomposition of pyrite were examined by the method of quasi-isothermal and quasi-isobaric thermogravimetry (Q-TG). It emerged that by means of this technique the overlapping partial processes of the complicated oxidation and decomposition reactions of pyrite can be separated and studied independently from one another. It was found that the partial reactions FeS₂=FeS +S and Fe₂O_3–x(SO₄)_x=Fe₂O₃+SO₃ are endothermic processes taking place quasiisothermally and leading to equilibrium, while the oxidation FeS+O₂=Fe₂O_3–x(SO₄)_x is an exothermic process which takes place in an oscillating manner in a rather broad temperature interval.

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Zusammenfassung Autoren untersuchten die Kinetik und den Mechanismus der thermischen Zersetzung von Pyrit durch quasi-isotherme und quasi-isobare Thermogravimetrie (Q-TG). Es stellte sich heraus, daß sich überlagernde Teilprozesse der komplizierten Oxydations- und Zersetzungsprozesse von Pyrit mit Hilfe dieser Technik absondern und unabhängig voneinander untersuchen lassen. Es wurde festgestellt, daß die Teilreaktionen FeS₂=FeS+S und Fe₂O_3–x(SO₄)_x=Fe₂O₃+SO₃ endotherme Prozesse sind, die quasi-isotherm verlaufen und zu einem Gleichgewicht führen, während die Oxydation FeS+O₂=Fe₂O_3–x(SO₄)_x ein exothermer Prozeß ist, der oszillierend in einem ziemlich breiten Temperaturintervall verläuft.

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(Q-) . . , FeS₂=FeS+S Fe₂O_3–x(S₂O₄)_x=Fe₂O₃+SO₃ , . FeS+O₂ =Fe₂O_3–x(SO₄)_x , .

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The authors thank Prof. E. Pungor for valuable discussions, and Mrs. M. Kiss and Miss I. Fabian for their technical assistance.     

Y型分子筛结构破坏的动力学分析(英文)

Y型分子筛是催化裂化(FCC)的速率控制组分.FCC过程中,催化剂在反应器和再生器中往往面临高温水蒸气存在的苛刻环境.因此,分子筛的热稳定性和水热稳定性是催化剂最为关注的性能之一.由于FCC原料中通常含有V、Ni、Na、Fe等不同数量的金属污染物,会对催化剂造成污染及钝化.进料中存在的卟啉类有机复合物持续不断的沉积在催化剂表面,由于含钒的有机金属卟啉化合物在反应中转化形成V_2O_5,V_2O_5在水热条件下形成H_3VO_4组分,在高温水热气氛下加速分子筛骨架结构水解,破坏了Y型分子筛的晶体结构,从而降低了催化剂活性,影响产品选择性.稀土Y型分子筛在FCC中扮演重要的角色,稀土交换分子筛可以提高催化酸性、裂化活性和热与水热稳定性.此外,Na在高温水蒸气条件下也会对分子筛结构造成破坏.一方面,钠能够中和Y型分子筛B酸中心,降低催化裂化活性;另一方面,水热条件下钠的存在会加速破坏Y型分子筛的结构.有关Y型分子筛结构破坏的机理解释较多,然而该过程的动力学研究鲜有报道.反应动力学不能提供一个直接的反应机理,但是任何反应机理的提出必须符合反应动力学的数据.本文采用离子交换法分别制备了一系列不同Na含量USY,不同稀土含量USY,以及含钠和稀土的USY分子筛,通过固相动力学模型考察了上述Y型分子筛水热结构破坏活化能的变化及钒对其活化能的影响.结果表明,Y型分子筛的结构破坏存在三种路径,分别是脱铝、脱硅和La-O键的断裂.钒加速了分子筛骨架水解速率;钒钠具有协同作用,同时存在时对分子筛破坏作用更加显著;NaOH的形成是速率控制步骤;稀土稳定了分子筛的结构,降低了分子筛的水热脱铝速率;钒与定位于分子筛小笼里稀土作用,破坏分子筛的[RE-OH-RE]~(5+)的RE-O键夺取分子筛的骨架氧,导致骨架结构崩塌.由于稀土本身稳定了分子筛的结构,同时钒稀土作用时形成稳定的REVO_4固定了钒的流动性,因此钒对REY结构的影响是几种因素相互叠加和抵消的结果.     

ESR study of thermal destruction of polypyromellitimides

A mechanism for thermal degradation of poly-N, N′-[p, p′-diphenyl] -pyromellitimide(resin I), poly-N, N′-[(m, m′-dimethyl)-p,p′-diphenyl] pyromellitimide-(resin II), and poly-N, N′-[(m, m′-dimethoxy)-p, p′-diphenyl] pyromellitimide (resin III) has been studied by means of ESR spectroscopy and pyrolysis gas chromatography. The concentration of paramagnetic centres formed as a result of free-radical scission of C-C and C-N bonds and the parameters of the ESR signal (ΔH_max and g-value) are strictly dependent on temperature of resin decomposition. The results suggest quite different mechanisms for thermal destruction of resin III and that for the other two, namely formation of the benzoxazole ring as an intermediate stage in decomposition.     

Some aspects of thermal destruction of polyurethanes

A number of Polyurethane elastomers were investigated by means of non-isothermal thermogravimetry to set a general procedure for numerical estimation of kinetic parameters. The value of an assumed objective function. determining the accuracy of the estimation depends on many factors as: the considered region of a TG-curve, the method of choosing points from the curve, and the initial values of the pre-exponential factor and the reaction order. After the optimal conditions were evaluated, the minimum values of the objective function and the corresponding triplet values of kinetic parameters were obtained. Among these, only the activation energy can be considered as a semiquantitative estimate of thermal stability.

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Zusammenfassung Eine Anzahl von Polyurethan-Elastomeren wurde mittels nichtisothermer Thermogravimetrie untersucht, um eine allgemeingültige Verfahrensweise zur numerischen Abschätzung kinetischer Parameter abzuleiten. Der Wert einer angenommenen objektiven Funktion zur Bestimmung der Genauigkeit der Abschätzung hängt von mehreren Faktoren ab: von dem in Betracht gezogenen Teil der TG-Kurve, von der Auswahlmethode für die berücksichtigen Meßpunkte, und von den anfänglichen Werten des Präexponentiellen Faktors und der Reaktionsordnung. Nachdem die optimalen Bedingungen ermittelt waren, wurden die minimalen Werte der objektiven Funktion und die entsprechenden Wertetripel für die kinetischen Parameter erhalten. Von diesen kann nur die Aktivierungsenergie als halbquantitatives Maß für die thermische Stabilität betrachtet werden.

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, . - , , , , . , . , .