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$Characterization of Ultra-fine Grained and Nanocrystalline Materials Using Transmission Kikuchi Diffraction$

Characterization of Ultra-fine Grained and Nanocrystalline Materials Using Transmission Kikuchi Diffraction

Published on: April 1, 2017

Intergrain scattering in polycrystals.

George Edwin Cragg¹

¹Shell Global Solutions US, Inc., 3333 Highway 6 South, Houston, TX 77082, United States of America.

Journal of Physics. Condensed Matter : an Institute of Physics Journal

|September 20, 2024

Summary

This summary is machine-generated.

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Electrical conductivity in polycrystals shows a sharp increase at a critical intergrain bias due to quantum scattering and Feshbach resonances. This transport phenomenon is temperature-dependent, offering insights into electronic surface states.

Area of Science:

Condensed matter physics
Quantum mechanics
Materials science

Background:

Transport phenomena in polycrystals are crucial for material properties.
Understanding grain boundary effects is key to predicting material behavior.
Quantum scattering theory provides a fundamental approach to electron transport.

Purpose of the Study:

To model electron transport through polycrystal grain boundaries from first principles.
To investigate the role of Feshbach resonances in electronic surface states.
To calculate electrical conductivity and analyze its dependence on intergrain bias and temperature.

Main Methods:

Utilizing quantum scattering theory.
Deriving an effective T-matrix.

Keywords:

Feshbach resonance carrier transport coupled channels grain boundary polycrystalline scattering varistor

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Including Feshbach resonances to model trapped electronic surface states.

Calculating electrical conductivity.

Main Results:

Electrical conductivity exhibits breakdown, a sharp increase at a critical intergrain bias.
Under specific conditions (kBT << φb), conductivity follows σ∼T-1/2e-φb/kBT.
Temperature dependence of conductivity was analyzed for high thermal energy regimes.

Conclusions:

The study provides a first-principles description of transport through grain boundaries.
Feshbach resonances significantly influence electronic surface states and conductivity.
The derived conductivity formula offers predictive power for polycrystal behavior under varying conditions.