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

Primary extinction in cylinders and spheres

Thorkildsen¹, Larsen

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

Acta Crystallographica. Section A, Foundations of Crystallography

|April 2, 1998

Summary

This summary is machine-generated.

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

Researchers derived analytical expressions for primary extinction factors in perfect crystals. This advancement in X-ray diffraction analysis provides the first five terms of a series expansion for accurate scattering angle calculations.

Area of Science:

Solid State Physics
Crystallography
X-ray Diffraction

Background:

The primary extinction factor is crucial for understanding X-ray diffraction in perfect crystals.
Analytical solutions for this factor are complex and often limited in scope.
Previous methods struggled to provide comprehensive expressions across all scattering angles.

Purpose of the Study:

To derive analytical expressions for the primary extinction factor in perfect crystals.
To develop a series expansion for the primary extinction factor.
To cover the entire range of scattering angles (theta oh).

Main Methods:

Transformation of Takagi equations into angular coordinates.
Establishment of recurrence relations for Bragg and Laue boundary-value Green functions.

Related Experiment Videos

Integration over entrance and exit surfaces of the crystal.

Main Results:

Obtained analytical expressions for the primary extinction factor coefficients.
Successfully derived the first five terms of the series expansion.
Calculations cover the full range of scattering angles.

Conclusions:

The developed method provides a robust framework for calculating primary extinction factors.
This approach offers improved accuracy in X-ray diffraction analysis of perfect crystals.
The use of symbolic computation software (Mathematica, Maple) facilitates complex calculations.