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Related Experiment Videos

Secondary extinction and diffraction behaviors in cylindrical crystals.

Hua-Chen Hu1

  • 1China Institute of Atomic Energy, PO Box 275 (18), Beijing 102413, People's Republic of China. hchu@ht.rol.cn.net

Acta Crystallographica. Section A, Foundations of Crystallography
|July 2, 2003
PubMed
Summary

This study explores X-ray and neutron diffraction in absorbing cylindrical crystals, detailing how extinction factors depend on crystal size and absorption. Findings aid in refining diffraction data accuracy for various crystal geometries.

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Absorption correction A* for cylindrical and spherical samples with extended range and high accuracy calculated by the Thorkildsen and Larsen analytical method.

Acta crystallographica. Section A, Foundations of crystallographyยท2012
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Area of Science:

  • Solid State Physics
  • Crystallography
  • Materials Science

Background:

  • Diffraction properties of absorbing cylindrical crystals are crucial for materials analysis.
  • Understanding extinction effects is key to accurate crystallographic data.
  • Previous models may lack detail for specific geometries and absorption levels.

Purpose of the Study:

  • To systematically explore X-ray and neutron diffraction properties in absorbing cylindrical crystals.
  • To analyze the relationship between diffraction geometry, extinction factors, and absorption.
  • To identify and correct inaccuracies in existing crystallographic data tables.

Main Methods:

  • Utilized transfer equations and the kinematic diffraction approximation.
  • Performed numerical solutions for a wide range of parameters (Bragg angle, reduced radius, absorption ratio).

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  • Calculated transmission coefficients using two distinct methods for comparison.

    • Main Results:

    • Derived relationships between power ratio distribution, integrated reflection power ratio, and crystal diffraction geometry.
    • Identified a dip in the extinction factor curve with a minimum shifting based on absorption and Bragg angle.
    • Discovered a significant decrease in extinction factor at low Bragg angles under specific absorption conditions.
    • Found inaccuracies in published transmission coefficients for certain parameter ranges.

    Conclusions:

    • The study provides new insights into extinction phenomena in cylindrical crystals.
    • Results are vital for refining diffraction data and improving crystallographic analysis.
    • Identified and quantified errors in existing reference data, necessitating updates.