Abstract

The purpose of this study is to critically analyze different methods of calculation of activation energy of relaxation in sucrose-water system from differential scanning calorimetry data. We consider the use of different thermal cycles for calculations together with Moynihan and Kissinger equations. We study the effect of two methods of glass transition temperature determination (half-step and inflection point) on the activation energy values. Along with experimental DSC data, we use the data simulated using Tool–Narayanaswamy–Moynihan model to validate the use of cooling and heating curves and to check the reproducibility of the activation energy calculations. The obtained results show that the thermal cycle with equal cooling and heating rates provides the most reliable data set and the glass transition temperature definition using inflection point rather than half step can be recommended for calculations. Moreover, due to technical reasons, heating rather than cooling scans provide the most reliable results of activation energy calculations. Furthermore, a simple method based on the width of the glass transition region shows reasonable results for single scan experiments. The activation energies of the glass transition in sucrose-water system with different water contents and different thermal histories were studied. Since it is impossible to apply traditional methods based on Moynihan equation for the activation energy evaluation for freeze-dried samples, we propose using another method based on the properties of the recovery peak. Combining the results obtained by different methods, we present a dependence of activation energy in sucrose-water system on water content. The results show that water decreases the activation energy of relaxation process in sucrose matrix.

Highlights

  • The glassy state has numerous applications in pharmaceutical and food industries

  • Samples in the glassy state continuously relax towards a state that is characterized by equilibrium values of such thermodynamic parameters as volume and enthalpy

  • We study the effect of differential scanning calorimetry (DSC) thermal cycle design and different methodologies of the glass transition temperature evaluation on the activation energy values

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Summary

Introduction

The glassy state has numerous applications in pharmaceutical and food industries. It is used for the improvement of solubility of poorly water-soluble drugs [1,2,3] and stabilization of proteins and cells by sugars/polyols [4]. According to one of the definitions, “Glass is a non-equilibrium, non-crystalline state of matter that appears solid on a short time scale but continuously relaxes towards the liquid state” [5]. Samples in the glassy state continuously relax towards a state that is characterized by equilibrium values of such thermodynamic parameters as volume and enthalpy. Molecular motions responsible for the relaxation process in the glassy state are complex and can be understood only by combining results obtained by several experimental techniques. The molecular mobility of the glassy state can be assessed by isothermal calorimetry and

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