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Determination of the Structural Relaxation Enthalpy Using a Mathematical Approach
Karsten Flügel1, Robert Hennig2, Markus Thommes3
1Department of Biochemical and Chemical Engineering, Laboratory of Solids Process Engineering, Technical University Dortmund, Emil-Figge-Str. 68, Dortmund 44227, Germany; Department of Pharmaceutical Technologies, Merck Healthcare KGaA, Frankfurter Str. 250, Darmstadt 64293, Germany.
A new mathematical model accurately quantifies structural relaxation enthalpy in amorphous materials, overcoming limitations of existing differential scanning calorimetry methods for better material property analysis.
Area of Science:
- Materials Science
- Physical Chemistry
- Solid-State Physics
Background:
- Structural relaxation is a key phenomenon in amorphous materials, influencing molecular mobility and properties like dissolution rate.
- Existing quantification methods using differential scanning calorimetry (DSC) have notable disadvantages.
- Understanding and accurately measuring structural relaxation is crucial for materials development.
Purpose of the Study:
- To develop and validate a novel mathematical model for analyzing structural relaxation enthalpy.
- To overcome the limitations of current DSC-based quantification methods.
- To provide a robust tool for assessing structural relaxation in amorphous solid dispersions.
Main Methods:
- A new mathematical model was developed and fitted to calorimetric data.
- The model separates the structural relaxation peak from the glass transition.
- Validation involved parameter sensitivity analysis and comparison with existing methods on differently stressed amorphous samples.
Main Results:
- The proposed model accurately quantifies structural relaxation enthalpy.
- It demonstrates high robustness and accuracy, surpassing established methods.
- The heating rate dependence of the calculated enthalpy aligns with theoretical expectations.
Conclusions:
- The developed mathematical model offers a superior method for quantifying structural relaxation.
- This tool is valuable for future research on the impact of structural relaxation on material properties.
- The method enhances the understanding and application of amorphous materials.
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