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Boundary-reaction-diffusion model for oscillatory zoning in binary crystals grown from solution.

Felix Kalischewski1, Ihor Lubashevsky, Andreas Heuer

  • 1Westfälische Wilhelms Universität Münster, Institut für physikalische Chemie, Corrensstrasse 30, 48149 Münster, Germany. Kalischewski@uni-muenster.de

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|March 16, 2007
PubMed
Summary

We developed a new model for oscillatory zoning (OZ) in crystals, explaining the layered structures observed in geological formations. Our model incorporates crystal growth mechanisms to accurately reproduce experimental findings.

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Area of Science:

  • Geochemistry
  • Materials Science
  • Crystallography

Background:

  • Oscillatory zoning (OZ) is a common phenomenon in geological crystals, marked by periodic compositional variations.
  • These variations arise from self-organization processes during crystal growth, but existing models often fail to capture the observed layered structures.

Purpose of the Study:

  • To present a novel model for oscillatory zoning (OZ).
  • To explain the synchronization effects crucial for reproducing experimentally observed layered crystal structures.

Main Methods:

  • The model incorporates crystal growth mechanisms: species diffusion, adsorption, surface diffusion, desorption, and incorporation.
  • Linear stability analysis and numerical simulations were employed to validate the model.

Main Results:

  • The proposed mechanism successfully reproduces the characteristic patterns of oscillatory zoning.
  • A critical supersaturation threshold for OZ occurrence was identified, aligning with experimental data.

Conclusions:

  • The new model provides a comprehensive explanation for oscillatory zoning, including the synchronization of growth patterns.
  • This work advances the understanding of self-organization in crystal growth and its geological implications.