Search research articles

ABOUT JoVE

Overview Leadership Blog JoVE Help Center

AUTHORS

Publishing Process Editorial Board Scope & Policies Peer Review FAQ Submit

LIBRARIANS

Testimonials Subscriptions Access Resources Library Advisory Board FAQ

RESEARCH

JoVE Journal Methods Collections JoVE Encyclopedia of Experiments Archive

EDUCATION

JoVE Core JoVE Business JoVE Science Education JoVE Lab Manual Faculty Resource Center Faculty Site

Terms & Conditions of Use

Search research articles

Related Experiment Videos

X-ray intensity patterns from finite perfect crystals.

Thorkildsen¹, Larsen

¹Department of Mathematics and Natural Science, Stavanger College, Ullandhaug, N-4091 Stavanger, Norway. gunnar.thorkildsen@tn.his.no

Acta Crystallographica. Section A, Foundations of Crystallography

|August 6, 2000

Summary

This study explores X-ray interference patterns in finite crystals using advanced simulations. Results highlight the significant impact of crystal boundaries on observed patterns, differing from semi-infinite models.

Related Concept Videos

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by

Same author

Chemical and Sensory Characterization of Hydrolyzed Vegetable Protein, a Savory Flavoring.

Journal of agricultural and food chemistry·2001

Same author

Structural characterization of protonated benzeneseleninic acid, the dihydroxyselenonium ion

Acta crystallographica. Section B, Structural science·2000

Same author

Towards disentangling coupled electronic-vibrational dynamics in ultrafast non-adiabatic processes

Faraday discussions·2000

Same author

Three dimensional alignment of molecules using elliptically polarized laser fields

Physical review letters·2000

Same author

Interanionic O-H small middle dot small middle dot small middle dotO Interactions: The Charge Density Point of View The Oak Ridge National Laboratory is managed by Lockheed Martin Energy Research Corporation for the US Department of Energy (DE-AC05-96OR22464). Prof. M. Moret and Dr. L. Carlucci are thanked for help in crystallizing large samples suitable for the neutron study. P.M. gratefully acknowledges DANSYNC center under the Danish Natural Science Research Council for a post-doctoral grant.

Angewandte Chemie (International ed. in English)·2000

Same author

Nonsymmetrical X-ray diffraction in a perfect rectangular t x l crystal. Extinction and absorption.

Acta crystallographica. Section A, Foundations of crystallography·2000

Area of Science:

Solid-state physics
Crystallography
X-ray optics

Background:

Understanding X-ray diffraction in crystals is crucial for materials science and device fabrication.
Previous models often assumed semi-infinite crystals, neglecting boundary effects.

Purpose of the Study:

To theoretically investigate X-ray intensity interference patterns at the exit surface of finite perfect crystals.
To analyze the influence of crystal dimensions and incident wave properties on diffraction patterns.

Main Methods:

Utilized the Takagi-Taupin equations for dynamical diffraction theory.
Employed the Riemann-Green technique for analytical solutions.
Performed numerical simulations for the 220 reflection in diamond crystals.
Investigated various amplitude-modulated incident plane waves and slit systems.

Related Experiment Videos

Main Results:

Demonstrated a strong influence of lateral crystal boundaries on interference patterns.
Observed that patterns are closely linked to geometrical regions defined by characteristic lines.
Numerical simulations revealed distinct patterns compared to semi-infinite crystal approximations.

Conclusions:

Finite crystal dimensions significantly alter X-ray interference patterns.
The study provides a more realistic model for X-ray diffraction in practical, finite samples.
Results reconcile with the Borrmann-Lehmann patterns in the semi-infinite limit.