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Nucleation rates and induction times during colloidal crystallization: links between models and experiments
Narendra M Dixit1, Charles F Zukoski
1Department of Chemical Engineering, University of Illinois at Urbana-Champaign, 114, Roger Adams Laboratory, 600 South Mathews Avenue, 61801, USA.
Summary
This study presents a new kinetic model for crystal nucleation and growth, improving predictions by accounting for monomer concentration changes and refining definitions for nucleation kinetics.
Area of Science:
- Physical Chemistry
- Materials Science
- Chemical Engineering
Background:
- Classical nucleation theories often overlook dynamic changes in monomer concentration during crystallization.
- Discrepancies exist between theoretical predictions and experimental measurements of nucleation rates due to differing definitions of quantities.
Purpose of the Study:
- To develop a kinetic model for crystal nucleation and growth that links model parameters to experimental nucleation kinetics.
- To address limitations in classical nucleation theories by incorporating the reduction of monomer concentration and refining quantity definitions.
Main Methods:
- Development of a kinetic model for cluster size distribution evolution.
- Integration of monomer concentration reduction as a key factor influencing nucleation driving force.
- Comparison of model predictions with experimental data for nucleation rates, crystal growth velocities, and induction times.
Main Results:
- The kinetic model accurately predicts nucleation rates, crystal growth velocities, and induction times for hard sphere colloidal suspensions.
- Demonstrated that decreasing monomer concentration significantly reduces nucleation rates, a factor often neglected.
- The model reconciles discrepancies between theoretical predictions and experimental measurements.
Conclusions:
- The presented kinetic model offers a more accurate framework for understanding and predicting crystal nucleation and growth.
- Accounting for monomer depletion and refining quantity definitions is crucial for accurate nucleation kinetics modeling.
- This work provides a valuable tool for optimizing crystallization processes in various scientific and industrial applications.