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Mass transfer limitations at crystallizing interfaces in an atomic force microscopy fluid cell: a finite element
David Gasperino1, Andrew Yeckel, Brian K Olmsted
1Department of Chemical Engineering and Materials Science, University of Minnesota, Minneapolis, MN 55455-0132, USA.
Langmuir : the ACS Journal of Surfaces and Colloids
|July 13, 2006
Summary
Mass transfer limitations can affect atomic force microscopy (AFM) measurements during crystal growth. This study models fluid flow and solute concentration in an AFM fluid cell, revealing concentration drops due to crystal growth and transport resistance.
Area of Science:
- Materials Science
- Chemical Engineering
- Physical Chemistry
Background:
- Atomic force microscopy (AFM) is crucial for in situ crystal growth studies.
- Mass transfer limitations in AFM fluid cells are not well understood.
- Accurate measurements require understanding solute transport dynamics.
Purpose of the Study:
- To analyze fluid flow and mass transfer in an AFM fluid cell during crystal growth.
- To quantify the impact of mass transfer limitations on solute concentration.
- To validate a computational model with experimental data.
Main Methods:
- Continuum analysis of flow and mass transfer.
- Three-dimensional finite element method simulations.
- Comparison with calcium oxalate monohydrate (COM) crystal growth experiments.
Main Results:
- Nonlinear momentum transport alters flow fields near the AFM tip.
- Solute concentration is reduced between the tip and crystal due to growth and mass transfer resistance.
- For COM, solute concentration was 3.1% lower than inlet values.
- Increased flow rate had minimal impact on concentration differences due to tip shielding.
Conclusions:
- Mass transfer limitations significantly affect solute concentration in AFM fluid cells.
- Computational models can improve the interpretation of AFM crystal growth data.
- Understanding these limitations is key for precise in situ measurements.

