Isokinetic Temperature Research Articles

Prussian Blue/NaNO2as an Efficient Reagent for the Nitration of Phenols in Aqueous Bisulfate and Acetonitrile Medium: Synthetic and Kinetic Study

The reaction kinetics of Prussian blue (PB)/NaNO2 initiated for the nitration of phenols by in aqueous bisulfate and acetonitrile medium indicated first-order dependence on [phenol], [NaNO2], and [PB]. An increase in [KHSO4] accelerated the rate of nitration under otherwise similar conditions. The rate of nitration was faster in the solvent of higher dielectric constant (D). Observed results were in accordance with Amis and Kirkwood plots [log k′ vs. (1/D) and [(D − 1)/(2D + 1)]. These findings together with the linearity of plots, log k′ versus (vol% of acetonitrile (ACN)) and mole fraction of (nx) ACN, probably indicate the importance of both eloctrostatic and nonelctrostatic forces, solvent–solute interactions during nitration of phenols. Reaction rates accelerated with the introduction of electron-donating groups and retarded with electron-withdrawing groups, which are interpreted by Hammett's theory of linear free energy relationship. Hammett's reaction constant (ρ) is a fairly large negative (ρ < 0) value, indicating attack of an electrophile on the aromatic ring. Furthermore, an increase in temperature decreased the reaction constant (ρ) values. This trend was useful in obtaining isokinetic temperature (β) from Exner's plot of ρ versus 1/T. Observed β value (337.8 K) is above the experimental temperature range (303–323 K), indicating that the enthalpy factors are probably more important in controlling the reaction.

Studies of Solvent Effect of Aquo-Methanol Solvent System on Kinetics and Activation Parameters of Base Catalised Hydrolysis of Ethyl Cinnamate

The solvent effect of ethanol on the alkali catalyzed solvolysis reaction was studied by carring out of the hydrolysis of ester namely ethyl cinnamate in water-methanol media of varying composition consisting of 30 to 70% of methanol (v/v) at different Temperature ranging from 20°C to 70°C. The Specific rate constant values of the reaction were found to depleted with increasing concentration of methanol in reaction media. Enhancement in ΔG* with simultaneous depletion in ΔH* and ΔS* of the reaction, it has been concluded that reaction is enthalpy stimulating and entropy inhibiting and specific salvation take place in water- methanol media. From the evaluated value of Iso kinetic temperature, which is less than 300 indicates that this reaction in water-methanol media obey Barclay-Butler rule and there is weak but considerable solvent –solute interaction taking place in reaction media.

Kinetics and Solvent Effect in Hydrolysis of Ethyl Cinnamate in Water- Methanol Mixture

The solvent effect of ethanol on the alkali catalyzed solvolysis reaction was studied by carring out of the hydrolysis of ester namely ethyl cinnamate in water-methanol media of varying composition consisting of 30 to 70% of methanol (v/v) at different Temperature ranging from 20°C to 70°C. The Specific rate constant values of the reaction were found to depleted with increasing concentration of methanol in reaction media. Enhancement in ΔG* with simultaneous depletion in ΔH* and ΔS* of the reaction, it has been concluded that reaction is enthalpy stimulating and entropy inhibiting and specific salvation take place in water- methanol media. From the evaluated value of Iso kinetic temperature, which is less than 300 indicates that this reaction in water-methanol media obey Barclay-Butler rule and there is weak but considerable solvent –solute interaction taking place in reaction media.

Solvent Effect on the Enthalpy and Entropy of Activation for the Hydrolysis of Ethyl Cinnamate in Mixed Solvent System

The rate of alkaline hydrolysis of ethyl cinnamate was measured over the temperature range of 20°C to 40°C in water-acetone mixture at different composition 30 to 70% (v/v). The influence of solvent variation on reaction rate was examined in term of changes in the Activation parameter. Depletion of ?H* and ?S* value with simultaneous increase in ?G* of the reaction in reaction media, reveals that the reaction is Enthalpy domination and Entropy controlled. The Iso- dielectric activation energy (ED) of reaction was found to decrease from 52.43 to 47.28. The Values of Iso-kinetic Temperature which is less than 300, clearly indicates that there is no appreciable interaction between solvent and solute present in the reaction media, i.e., reaction is not ion-dipole but ion-molecule type.

Moisture Adsorption and Thermodynamic Properties of Sorghum-Based Complementary Foods

The moisture adsorption and thermodynamic properties of sorghum-based complementary foods were investigated. Non-fermented and fermented sorghum, crayfish, Mango mesocarp and fluted pumpkin leaf powders were blended in the ratios of 91.06% non-fermented sorghum: 0.17% mango mesocarp: 8.77% fish (NFSMC), 91.06% fermented sorghum: 0.17% mango mesocarp: 8.77% fish (FSMC), 91.04% non-fermented sorghum: 0.19% fluted pumpkin: 8.77% fish (NFSPC) and 91.04% fermented sorghum: 0.19% fluted pumpkin: 8.77% fish (FSPC). The sample formulations were done based on 16% protein using material balance. Established procedures were used for sample preparation and analyses. The equilibrium moisture contents (EMCs) generated through static gravimetric method was fitted with Guggenheim-Anderson-deBoer (GAB) model by polynomial regression analysis. The moisture adsorption isotherms of the samples exhibited sigmoidal shape (Type II). The enthalpy of monolayer ranged from 50.34 to 60.75kJ/mol, multilayer ranged from 43.83 to 45.89kJ/mol and bulk water ranged from 42.98 to 44.20kJ/mol. The isosteric heat of sorption decreased with increase in moisture content, the entropy of adsorption of NFSMC, FSMC and FSPC decreased as the moisture content increased. The isokinetic temperature ranged from 326.51 to 603.33K while the harmonic mean temperature was 297.78K. The adsorption process was enthalpy driven. Therefore, NFSMC, FSMC and NFSPC are recommended for their relatively lower moisture content.

Adsorption isotherms and thermodynamics properties of water yam flour

Adsorption isotherms of water yam flour were determined by static gravimetric method of saturated salt solutions in the range of water activities between 0.11 and 0.96 and at temperatures of 25, 35 and 45 °C. The experimental sorption data was fitted to five models: Guggenheim-Anderson-De Boer (GAB), Peleg, Iglesias-Chirife, Exponential and Oswin and the differential enthalpy and entropies were determined. Equilibrium moisture contents decreased with increase in temperature at all the water activities studied. Peleg model gave the best fit for the sorption isotherm of water yam flour. Monolayer moisture content values estimated from the GAB-model were found to decrease with increases in temperature. The differential enthalpy and entropy decreased with increases in moisture content. The isokinetic temperature was 371.32 K and the compensation theory was satisfied.

Moisture sorption isotherms and thermodynamic properties of Oak wood (Quercus robur and Quercus canariensis): optimization of the processing parameters

The aim of this paper was to determine the moisture desorption isotherms and essentials thermodynamic properties of two Oak wood varieties. Desorption isotherms were measured using a static gravimetric method at 50, 60, 70 and 80 °C within the range of 5–90 % relative humidity. The equilibrium moisture content decreased with increasing temperature and decreased with decreasing relative humidity at a constant temperature. The ‘Thermodynamic’ sorption equation was found to be the best for describing the experimental moisture sorption isotherms of woods within the range of temperature and water activity investigated. The Fiber saturation point, deduced from the ‘Thermodynamic’ model parameters, depends on the temperature and varying from 22.6 to 54.4 (% kg water/kg dry matter). Isosteric heat of desorption and differential entropy were calculated by applying Clausius–Clapeyron equation to the desorption data fitted by the ‘Thermodynamic’ model. The isosteric heat of desorption and the differential entropy decreased with increasing moisture content according to an exponential law equation and varying from 2.03 to 31.14 kJ/mol and from 73.98 to 4.34 J/(mol K), respectively. The linear relationship between differential enthalpy and entropy satisfied the enthalpy–entropy compensation theory. The sign of Gibbs free energy was found to be positive (+283 J/mol) and (+97 J/mol) for Quercus robur and Quercus canariensis, respectively. The isokinetic temperature was found to be greater than the harmonic temperature. Based on the enthalpy–entropy compensation theory, it could be concluded that the moisture desorption isotherm of Oak wood is a non-spontaneous and enthalpy-controlled process.

Enthalpy-Entropy Compensation Effect in Chemical Kinetics and Experimental Errors: A Numerical Simulation Approach.

Many kinetic studies concerning homologous reaction series report the existence of an activation enthalpy-entropy linear correlation (compensation plot), its slope being the temperature at which all the members of the series have the same rate constant (isokinetic temperature). Unfortunately, it has been demonstrated by statistical methods that the experimental errors associated with the activation enthalpy and entropy are mutually interdependent. Therefore, the possibility that some of those correlations might be caused by accidental errors has been explored by numerical simulations. As a result of this study, a computer program has been developed to evaluate the probability that experimental errors might lead to a linear compensation plot parting from an initial randomly scattered set of activation parameters (p-test). Application of this program to kinetic data for 100 homologous reaction series extracted from bibliographic sources has allowed concluding that most of the reported compensation plots can hardly be explained by the accumulation of experimental errors, thus requiring the existence of a previously existing, physically meaningful correlation.

Thermodynamic properties of the water sorption isotherms of wood of limba (Terminalia superba Engl. & Diels), obeche (Triplochiton scleroxylon K. Schum.), radiata pine (Pinus radiata D. Don) and chestnut (Castanea sativa Mill.)

The sorption isotherms of limba (Terminalia superba Engl. & Diels), obeche (Triplochiton scleroxylon K. Schum.), radiata pine (Pinus radiata D. Don) and chestnut (Castanea sativa Mill.), were plotted at 15°C, 35°C and 50°C. The curves were fitted using the Guggenheim-Anderson-de Boer (GAB) model. The thermodynamic properties (net isosteric heat of sorption, total heat of wetting, differential entropy and spreading pressure) were determined from the isotherms to define the energy associated with the sorption processes. Net isosteric heat of sorption was obtained using the Clausius-Clapeyron equation and showed a negative relation with moisture content. Differential entropy showed the same behaviour. These two parameters were higher in desorption than in adsorption. Total heat of wetting was also higher in desorption than in adsorption and higher in chestnut than in the other species. The enthalpy-entropy theory was validated as there was a good linear fit between net isosteric heat of sorption and differential entropy, and the isokinetic temperatures were different from the harmonic mean temperature. Using the enthalpy-entropy theory, it was possible to conclude that the adsorption and desorption processes were enthalpy driven and spontaneous. Spreading pressure increased as water activity increased. The variation of spreading pressure with temperature depends on the species type.

Photochromism of dihydroindolizines Part XIX. Efficient one-pot solid-state synthesis, kinetic, and computational studies based on dihydroindolizine photochromes

For the first time, one-pot solid-state synthesis of 12 photochromic materials based on photochromic dihydroindolizine system substituted in both fluorene part (region A) and the heterocyclic part (region C) has been established. This method has immense advantages, which are short-time reaction, high-yield and low-yield by-products, and easily purification and separation processes. In addition, this method will help in getting over the tremendously purification and low-yield problems faced since the worth-finding of this family of photochromic materials. The absorption maxima (λmax) and the half-lives (t1/2) of the colored betaines were detected in all cases using multichannel UV/Vis spectrophotometric measurements. The rate constants of the thermal back reaction of the betaines were determined at constant temperature by measuring the decrease in the maximum absorption intensity (λmax) with time. The half-lives (t1/2) and rate constants (k) of betaines under examination were calculated by plotting lnA against time (t). The kinetic measurements could be detected by both spectra scan and time-dependent decay measurements. Examination of the Arrhenius parameters reveals an underlying compensation between Ea and log A, whereby an increase in Ea is opposed by an increase in log A. The compensation appears in the corresponding Eyring parameters, ΔH≠ and ΔS≠; betaine structural changes that lead to lower, more favorable enthalpies of activation engender opposing entropic changes. At the isokinetic temperature Tiso = β, structural changes do not affect the rate constant of a reaction series because the changes of ΔH≠ are counterbalanced by changes of ΔS≠. The existence of an isokinetic relationship indicates a common structure of the transition state of all thermal back reaction of betaine under investigation. The computational results suggest that the decoloration reaction is a two-step mechanism. The first step corresponds to the transoid–cisoid isomerization with an activation barrier of 10.3 kJ mol−1, and the second step is the ring closure from the cisoid intermediate with a barrier 71.3 kJ mol−1, which represent the rate determining step for thermal decoloration. The photochemical ring opening of DHIs to betaines is a disrotatory 1,5-electrocyclic reaction, whereas the thermal ring-closing occurs in the conrotatory mode. Copyright © 2016 John Wiley & Sons, Ltd.

Soft computing modelling of moisture sorption isotherms of milk-foxtail millet powder and determination of thermodynamic properties.

Moisture sorption isotherms of spray-dried milk-foxtail millet powder were determined at 10, 25 and 40°C. Sorption data was fitted using classical and soft-computing approaches. The isotherms were of type II, and equilibrium moisture content (EMC) was temperature dependent. The BET monolayer moisture content decreased from 3.30 to 2.67% as temperature increased from 10 to 40°C. Amongst the classical models, Ferro-Fontan gave the best fit of EMC-aw data. However, the Sugeno-type adaptive neuro-fuzzy inference system (ANFIS) with generalized bell-shaped membership function performed better than artificial neural network and classical models with RMSE as low as 0.0099. The isosteric heat of sorption decreased from 150.32kJmol(-1) at 1% moisture content to 44.11kJmol(-1) at 15% moisture. The enthalpy-entropy compensation theory was validated, and the isokinetic and harmonic mean temperatures were determined as 333.1 and 297.5K, respectively.

Rate-controlling mechanisms in the photo-degradation of ochratoxin A

This work studies the rate-controlling mechanisms of the UV photo-degradation of OTA by applying kinetic and thermodynamic compensations. The study tries to go in depth into a previous study where the UV photo-degradation of OTA was concluded to take place following first-order kinetics. For this purpose, aqueous solutions of 100 mg L−1 of OTA were irradiated at acidic pH values usually found in fruit juices at the same temperatures than the previous study, using the same mid-pressure mercury lamp with emission wavelengths between 250 and 740 nm. The new photo-degradation data also fitted well to the first-order kinetic model, with the new parameters matching the old ones. The kinetic constants were used to study whether the kinetic and thermodynamic compensation could be applied. Applying the Leffler’s criterion, the OTA photo-degradation was concluded to be enthalpically controlled and isokinetic temperatures of 388.0 K and 382.9 K were obtained for the kinetic and thermodynamic compensations, respectively. As the harmonic mean temperature (302.8 K) is clearly different lower than both isokinetic temperatures, it can be concluded that the compensation is not caused by the propagation of the experimental errors and that the reaction is controlled by enthalpy.

Inactivation thermodynamics and iso-kinetic profiling for evaluating operational suitability of milk clotting enzyme immobilized in composite polymer matrix

Milk clotting enzyme (MCE) was immobilized in alginate-pectate interwoven gel with the yield of 73%. The encapsulated enzyme retained most of the protein load while soluble enzyme lost major proportion of activity after few hours. The immobilized enzyme showed high operational stability by retaining 40% activity even after 10 uses. The narrow optimal working pH of soluble enzyme changed to a broader range after encapsulation and a shift in optimum temperature from 45 to 50°C was also recorded for encapsulated enzyme. Studies on isokinetic temperature showed that immobilized enzyme is more thermo-stable at higher temperature. Immobilization, therefore, not only improved the catalytic properties and stability but also its suitability in food processes like cheese preparation with reduced cost and time.

Rate-Controlling Mechanisms in the Photo-degradation of 5-Hydroxymethylfurfural

Rate-controlling mechanisms in the photo-degradation of 5-hydroxymethylfurfural (HMF) were studied applying kinetic and thermodynamic compensations. Aqueous solutions of HMF were prepared at a concentration of 100 mg L−1 and at pH values of 3, 3.4, 4, and 5. The UV irradiation of samples was performed in an installation consisting of a black chamber containing the reactor and a mid-pressure mercury lamp with emission wavelengths between 250 and 740 nm. Every sample was irradiated at 12, 25, 35, and 45 °C for 120 min, analyzing their HMF content each 10 min. The photo-degradation data fitted well to zero-order kinetic model, and the constant values were used to study whether the kinetic and thermodynamic compensation could be applied. The isokinetic temperature was very similar for kinetic compensation (TB = 278.0 K) and thermodynamic compensation (TB = 277.8 K). Applying the Leffler’s criterion, the HMF photo-degradation was entropically controlled, probably as a consequence of hydrophobic interactions. In order to check the entropical control, two experiments were repeated at pH 3 but avoiding agitation. As the new obtained kinetic constants were highly different from the values previously obtained using agitation, it can be concluded that the HMF photo-degradation is an entropy-controlled process and can be speeded up by changing non-thermal parameters, like agitation.

Water adsorption isotherms and thermodynamic properties of cassava bagasse

Losses of food industry are generally wet products that must be dried to posterior use and storage. In order to optimize drying processes, the study of isotherms and thermodynamic properties become essential to understand the water sorption mechanisms of cassava bagasse. For this, cassava bagasse was chemically analyzed and had its adsorption isotherms determined in the range of 293.15–353.15K through the static gravimetric method. The models of GAB, Halsey, Henderson, Oswin and Peleg were fitted, and best adjustments were found for GAB model with R2>0.998 and no pattern distribution of residual plots. Isosteric heat of adsorption and thermodynamic parameters could be determined as a function of moisture content. Compensation theory was confirmed, with linear relationship between enthalpy and entropy and higher values of isokinetic temperature (TB=395.62K) than harmonic temperature. Water adsorption was considered driven by enthalpy, clarifying the mechanisms of water vapor sorption in cassava bagasse.

Conversion of imidazoles to imidazolones with chloramine-B: kinetic and mechanistic study

Oxidative conversion of 1H-imidazole (IzlH) and 2-substituted imidazoles viz., 2-ethyl-1H-imidazole (2-EtIzlH), 2-methyl-1H-imidazole (2-MeIzlH), 1H-imidazole-2-ester (2-EsIzlH), and 1H-imidazole-2-carbaldehyde (2-CaIzlH) to the corresponding imidazolones with sodium N-chlorobenzenesulfonamide or chloramine-B (CAB) were established. This reaction was kinetically investigated at 303 K in HClO4 medium. Under comparable experimental conditions, the oxidation reactions followed identical kinetics for all the five imidazoles with a first-order dependence of rate on [CAB]o and fractional-order dependence each on [imidazole]o and [H+]. Effects of added benzenesulfonamide, halide ions, NaClO4, and MeOH on the rate of reaction have been studied. Reaction products were identified and characterized by GC–MS and NMR spectral analysis. The rates are measured at different temperatures and the composite activation parameters have been computed from the Arrhenius plots. Isokinetic temperature (β) was found to be 449 K which is higher than the experimental temperature (303 K), indicating that the rate has been under enthalpy control. Relative reactivity of these imidazoles is in the order: 2-EtIzlH > 2-MeIzlH > IzlH > 2-EsIzlH > 2-CaIzlH. H2O+Cl have been postulated as the reactive oxidizing species. The reaction mechanism and the derived rate law are in good agreement with the observed experimental results. Spectroscopic studies have been made for an intermediate complex formation between CAB and imidazole. Advantages of the present method include: mild reaction conditions, cost-effectiveness, short reaction time, ease of isolation of products, and the use of eco-friendly reagents. Hence, the methodology developed could be adopted for the facile oxidative conversion of imidazoles to imidazolones and can be scaled up to industrial operation with suitable modification.

Tertiary Butyl Nitrite Triggered Nitration of Phenols: Solvent‐ and Structure‐Dependent Kinetic Study

ABSTRACTNitration of phenols with tertiary butyl nitrite (TBN) obeyed second‐order kinetics with a first‐order dependence on [TBN] and [phenol] under acid‐free conditions. Reaction rates were significantly altered by a change in the dielectric constant and other physical properties of solvent. The rate of nitration increased with an increase in temperature (303–323 K) in different solvent media (acetonitrile, dichloroethane, CCl4, dimethyl formamide (DMF), and toluene). The rates of nitration (log k) could not fit into either Amis or Kirkwood plots [log k’ vs. (1/D) or [(D – 1)/(2D + 1)], but the trends were better explained by the basic form of multivariate linear solvent energy relationships (MLSER) suggested by the Koppel and Palm approach on the one hand and the Kamlet and Taft approach on the other hand. These observations probably substantiate that cumulative contributions of basic solvent parameters (equilibrium as well as frictional solvent effects) and solvent–solute interactions for solvation of transition state during nitration of phenols. Reaction rates accelerated with the introduction of electron‐donating groups and retarded with electron‐withdrawing groups. Accordingly, the reactivity of structurally different phenols was found to follow the following sequence: p‐OH &gt; p‐MeO &gt; p‐Me &gt; H &gt; m‐Me &gt; p‐Cl &gt; p‐Br &gt; m‐Cl &gt; p‐NO2 &gt; m‐OH. The results are interpreted by Hammett's theory of linear free energy relationship. The reaction constant (Hammett's ρ) is a measure of the sensitivity of the reaction toward the electronic effects of the substituent. The rho (ρ) values obtained from the present experiments are fairly large negative values (ρ &lt; 0), indicating attack of an electrophile on the aromatic ring. An increase in temperature decreases the reaction constant (ρ) values. According to Exner, ρ values for a given reaction are influenced by the temperature according to the following relation: ρ = A [1 – β/T]. Obtained “isokinetic temperature (β)” values are in the range of 225–290. These values are far below the experimental temperature range (303–323 K), indicating that the entropy factors are probably more important in controlling the reaction. This point can be seen from the negative entropy values and linearity of multiple linear regression analysis (MLRA). Furthermore, in the present study, rate constants for TBN nitration of ortho‐substituted phenols could not fit into Taft's plots of log(k/kCH3) versus σ* or, Es or combined Taft's relationship. However, Charton's MLRA of the log k with polar, resonance, steric, hydrophobicity, and molar refractivity showing a very good linear relationship was obtained. It is of interest to note that when log kexp values are correlated with log kcal a perfect linearity is obtained with a correlation coefficient of unity, indicating the consonance between experimental and calculated rate constants in the present work.

THERMODYNAMIC PROPERTIES OF WATER DESORPTION OF SOYBEAN BRAN

The differential and integral thermodynamic properties (enthalpy, entropy, Gibbs free energy, temperature isokinetic and spreading pressure) of soybean bran were determined. Experimental data obtained from the literature were adjusted appropriately by GAB equation (R2&gt;0.95), whose parameters were used to estimate the thermodynamic properties of desorption of soybean bran. The differential enthalpy and entropy increased with decreasing equilibrium moisture content and the isokinetic temperature confirmed the linear chemical compensation between the enthalpy and entropy and the process was enthalpy driven. The spreading pressure increased with increasing water activity. The integral enthalpy decreased with increasing equilibrium moisture content, whereas the integral entropy increased, but negative values, reaching up to -0.02 kJ/mol.K.

Oxidative conversion of anilines to azobenzenes with alkaline chloramine-T

Anilines are widely used in the manufacture of dyes, medicinals, plastics and perfumes. Anilines are readily oxidized to give products depending on reaction conditions. Conversion of anilines to azobenzene is important in organic synthesis. In the course of this research, optimum conditions for the facile oxidative conversion of anilines to azobenzenes have been established in very good yields. The kinetics of oxidation of aniline, p-methoxyaniline, p-methylaniline, p-carboxylicaniline and p-nitroaniline by chloramine-T (CAT) in NaOH medium shows identical kinetics with a first-order dependence of rate on [CAT]o, fractional-order on [Aniline]o, and an inverse-fractional order on [OH-]. Activation parameters and decomposition constants have been determined. Oxidation products were characterized by NMR spectral studies. Isokinetic temperature is 415 K indicating enthalpy as a controlling factor. The rates increased in the order: p-methoxyaniline>p-methylaniline>aniline>p-carboxylicani- line>p-nitroaniline. A Hammett linear free energy relationship is observed for the reaction with ρ=-0.52. Reaction scheme and kinetic rate law were deduced. We have developed a simple and efficient protocol for the synthesis of azobenzenes by anilines in good yields and hence we believe that this methodology will be a valuable addition to the existing methods.

An investigation of the crystallization kinetics of zeotype SAPO-34 crystals synthesized by hydrothermal and sonochemical methods

The kinetics study of SAPO-34 crystallization from a gel containing morpholine as a structure directing agent (SDA) was investigated by means of X-ray diffraction (XRD) patterns in order to determine the kinetics parameters, i.e. induction times, rate constants, frequency factors, and activation energies for the induction and growth stages. The kinetics data of growth period were determined by using the Avrami–Erofeev nucleation growth model. SAPO-34 molecular sieves were synthesized by using both sonochemical-assisted hydrothermal and conventional hydrothermal heating at temperatures of 180, 200, and 220°C to elucidate the influence of crystallization method on the crystallization kinetics of SAPO-34. The activation energy values indicated that the crystal growth mechanism was enhanced for samples synthesized sonochemically, whereas the induction energy was not greatly affected by using sonication process. Also, the kinetic compensation effect (KCE) was considered in order to obtain the isokinetic temperature.