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Atom pair persistence in disordered materials from fluctuation microscopy

Gibson1, Treacy, Voyles

  • 1Centre d'Etudes de Chimie Metallurgique, Vitry, France. j-gibson@uiuc.edu

Ultramicroscopy
|June 7, 2000
PubMed
Summary

This study reformulates fluctuation microscopy for disordered materials using an atom pair-pair correlation function. The pair persistence function (PPF) derived from this method reveals correlation length and structure in materials.

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Area of Science:

  • Materials Science
  • Microscopy
  • Statistical Physics

Background:

  • Fluctuation microscopy is a powerful technique for analyzing disordered specimens.
  • Understanding the underlying correlations in disordered materials is crucial for material characterization.

Purpose of the Study:

  • To reformulate the kinematical theory of fluctuation microscopy.
  • To introduce a new interpretation of fluctuation data using an atom pair-pair correlation function.
  • To demonstrate the utility of the pair persistence function (PPF) for material analysis.

Main Methods:

  • Reformulation of kinematical theory using atom pair-pair correlation functions.
  • Analysis of experimental variables: resolution and coherence.
  • Development and application of the pair persistence function (PPF).

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Main Results:

  • The theory of fluctuation microscopy for disordered specimens can be expressed via an atom pair-pair correlation function.
  • Resolution and coherence define a two-dimensional fluctuation map.
  • This map is directly interpretable as a pair persistence function (PPF).

Conclusions:

  • The PPF provides a direct interpretation of fluctuation microscopy data.
  • The PPF effectively reveals correlation length and structure.
  • This approach is demonstrated on a simple paracrystalline model, showing its potential for characterizing disordered materials.