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Title: Correct interpretation of diffraction properties of quartz crystals for X-ray optics applications

Abstract

Quartz has hundreds of strong Bragg reflections that may offer a great number of choices for making fixed-angle X-ray analyzers and polarizers at virtually any hard X-ray energies with selectable resolution. However, quartz crystals, unlike silicon and germanium, are chiral and may thus appear in two different forms of handedness that are mirror images. Furthermore, because of the threefold rotational symmetry along thecaxis, the {h1h2h3L} and {h2h1h3L} Bragg reflections may have quite different Darwin bandwidth, reflectivity and angular acceptance, although they have the same Bragg angle. The design of X-ray optics from quartz crystals therefore requires unambiguous determination of the orientation, handedness and polarity of the crystals. The Laue method and single-axis diffraction technique can provide such information, but the variety of conventions used in the literature to describe quartz structures has caused widespread confusion. The current studies give detailed guidelines for design and fabrication of quartz X-ray optics, with special emphasis on the correct interpretation of Laue patterns in terms of the crystallography and diffraction properties of quartz. Furthermore, the quartz crystals examined were confirmed by X-ray topography to have acceptably low densities of dislocations and other defects, which is the foundation for developing high-resolution quartz-based X-ray optics.

Authors:
 [1];  [1];  [1];  [1];  [1];  [1]; ORCiD logo [1];  [2];  [1]
  1. Argonne National Lab. (ANL), Argonne, IL (United States)
  2. Univ. Federal da Integracao Latino-Americana, Parana (Brazil)
Publication Date:
Research Org.:
Argonne National Lab. (ANL), Argonne, IL (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1421955
Grant/Contract Number:  
AC02-06CH11357
Resource Type:
Accepted Manuscript
Journal Name:
Journal of Applied Crystallography (Online)
Additional Journal Information:
Journal Name: Journal of Applied Crystallography (Online); Journal Volume: 51; Journal Issue: 1; Journal ID: ISSN 1600-5767
Publisher:
International Union of Crystallography
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE; Bragg reflection; Darwin bandwidth; X-ray analyzers; X-ray optics; quartz

Citation Formats

Huang, Xian -Rong, Gog, Thomas, Kim, Jungho, Kasman, Elina, Said, Ayman H., Casa, Diego M., Wieczorek, Michael, Honnicke, Marcelo G., and Assoufid, Lahsen. Correct interpretation of diffraction properties of quartz crystals for X-ray optics applications. United States: N. p., 2018. Web. doi:10.1107/S1600576717018155.
Huang, Xian -Rong, Gog, Thomas, Kim, Jungho, Kasman, Elina, Said, Ayman H., Casa, Diego M., Wieczorek, Michael, Honnicke, Marcelo G., & Assoufid, Lahsen. Correct interpretation of diffraction properties of quartz crystals for X-ray optics applications. United States. doi:10.1107/S1600576717018155.
Huang, Xian -Rong, Gog, Thomas, Kim, Jungho, Kasman, Elina, Said, Ayman H., Casa, Diego M., Wieczorek, Michael, Honnicke, Marcelo G., and Assoufid, Lahsen. Thu . "Correct interpretation of diffraction properties of quartz crystals for X-ray optics applications". United States. doi:10.1107/S1600576717018155. https://www.osti.gov/servlets/purl/1421955.
@article{osti_1421955,
title = {Correct interpretation of diffraction properties of quartz crystals for X-ray optics applications},
author = {Huang, Xian -Rong and Gog, Thomas and Kim, Jungho and Kasman, Elina and Said, Ayman H. and Casa, Diego M. and Wieczorek, Michael and Honnicke, Marcelo G. and Assoufid, Lahsen},
abstractNote = {Quartz has hundreds of strong Bragg reflections that may offer a great number of choices for making fixed-angle X-ray analyzers and polarizers at virtually any hard X-ray energies with selectable resolution. However, quartz crystals, unlike silicon and germanium, are chiral and may thus appear in two different forms of handedness that are mirror images. Furthermore, because of the threefold rotational symmetry along thecaxis, the {h1h2h3L} and {h2h1h3L} Bragg reflections may have quite different Darwin bandwidth, reflectivity and angular acceptance, although they have the same Bragg angle. The design of X-ray optics from quartz crystals therefore requires unambiguous determination of the orientation, handedness and polarity of the crystals. The Laue method and single-axis diffraction technique can provide such information, but the variety of conventions used in the literature to describe quartz structures has caused widespread confusion. The current studies give detailed guidelines for design and fabrication of quartz X-ray optics, with special emphasis on the correct interpretation of Laue patterns in terms of the crystallography and diffraction properties of quartz. Furthermore, the quartz crystals examined were confirmed by X-ray topography to have acceptably low densities of dislocations and other defects, which is the foundation for developing high-resolution quartz-based X-ray optics.},
doi = {10.1107/S1600576717018155},
journal = {Journal of Applied Crystallography (Online)},
number = 1,
volume = 51,
place = {United States},
year = {2018},
month = {2}
}

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Figures / Tables:

Table 1 Table 1: Equivalent lattice planes of {h1 h2 h3 L} and {h2 h1 h3 L} for α-quartz

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Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.