Measurement and Correlation of the Solubility of β-Cyclodextrin in Different Solutions at Different Temperatures and Thermodynamic Study of the Dissolution Process

Abstract

A new improved formulation was studied to improve the rehydration properties of freeze-dried dumplings. To provide basic data for industrial applications, the solubility capabilities of β-Cyclodextrin in sucrose, NaCl, and a mixed solution were measured at temperatures ranging from 303.15 to 353.15 K using a laser monitoring method. The experimental values indicated that the solubility of β-Cyclodextrin in solvents increased with increasing temperature. The simplified Apelblat model, Apelblat model, and λh model were employed to analyze the experimental results using correlation tests. The relative average deviation (RAD) values between the experimental and calculated values were less than 0.095, 0.075, and 0.103 for the simplified Apelblat equation, Apelblat equation, and λh equation, respectively. Apparent thermodynamic analysis of β-Cyclodextrin dissolution was also performed at the mean temperature using the model parameters of Apelblat equation. Furthermore, thermodynamic properties of the solution process, including the enthalpy, entropy, and Gibbs free energy, were also calculated and analyzed. This study provides the basic data for applications in industrial production, and is specifically of great significance for the improved formulation of freeze-dried dumplings.

Solubility Measurements and Correlation of Modafinil in Neat Solvents and Binary Solvent Mixtures

“…Thermodynamic models allow the interpolation and extrapolation of solubility data within and beyond the temperatures studied, which facilitates the broader understanding of the solubility behavior of a solute. ,,, The modified Apelblat and λ h equations are two of the most commonly used empirical correlations to interpret the solubility behavior of solutes. ,,,, In this study, the solute refers to MOD.…”

Shortcut Method for the Prediction of the Cocrystal Solubility Line

“…for pure species crystals, classical thermodynamic models such as the Apelblat equation, van't Hoff equation, and the λh correlation were used to model the solubility of an API. 12,13 More recently, models incorporating intermolecular interactions have been used to improve predictions from the models. Intermolecular interaction models, considering the activity coefficient, are powerful tools for improving the prediction of solubility; examples of modern models for prediction of activity coefficients include NRTL-SAC, 14 Universal Quasichemical Functional Group Activity Coefficients model (UNIFAC), 15−18 COSMO-RS, 19,20 and COSMO-SAC.…”

“…To gain further understanding of the solubility of cocrystals, appropriate thermodynamic modeling is necessary. Previously, for pure species crystals, classical thermodynamic models such as the Apelblat equation, van’t Hoff equation, and the λ h correlation were used to model the solubility of an API. , More recently, models incorporating intermolecular interactions have been used to improve predictions from the models. Intermolecular interaction models, considering the activity coefficient, are powerful tools for improving the prediction of solubility; examples of modern models for prediction of activity coefficients include NRTL-SAC, Universal Quasichemical Functional Group Activity Coefficients model (UNIFAC), − COSMO-RS, , and COSMO-SAC. , In adduct species, Lange et al − applied the perturbed-chain statistical associating fluid theory model (PC-SAFT) for calculating the activity coefficients accompanied by the equilibrium constant ( K s ) and the Gibbs–Helmholtz equation to predict the solubilities as a function of the temperature of adduct species such as solvates, hydrates forms, and cocrystals.…”