X-ray diffraction patterns from faulted face-centered cubic and diamond cubic crystals
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Authors
Davis, Hugh Miller, Jr.
Subjects
Diamond structure
Face centered cubic structure
Twinning stacking faults
Structure factors
X-ray diffraction
Face centered cubic structure
Twinning stacking faults
Structure factors
X-ray diffraction
Advisors
Clark, John R.
Date of Issue
1966-05
Date
May 1966
Publisher
Monterey, California. U.S. Naval Postgraduate School
Language
en_US
Abstract
Calculations have been made in an attempt to predict the effects of microscopically fine twinning and of stacking faults on the x-ray diffraction patterns which can be expected from single crystals of materials having the face-centered-cubic or diamond cubic structures. The existence and the effects on x-ray scattering of a coincidence lattice and multiple unit cell in twinned structure are discussed. Additional diffraction peaks are found to appear in diffraction patterns from twinned structures at reciprocal space positions which have non-integer coordinates when referred to the reciprocal lattice of an untwined crystal. These extra peaks lead to layer line spacings in rotating crystal patterns which are found to be proportional to 3(-n) here n is the order of the twinning involved. The extension of methods for determining the effects of random stacking and twinning faults on X-ray diffraction patterns, developed by Paterson and Guentert, is shown to predict non-zero intensities from those planes in faulted diamond crystals which have Miller indices such that h+k+l = 4n+2. It is suggested that this provides a partial explanation of the well known "forbidden" reflections from planes of the form (222) in crystals having the diamond cubic structure. The positions and intensities of the (222) reflections from a small diamond have been confirmed using a Weissenberg goniometer.
Type
Thesis
Description
Series/Report No
Department
Department of Material Science and Chemistry
Organization
Naval Postgraduate School (U.S.)
Identifiers
NPS Report Number
Sponsors
Funder
Format
34 leaves
Citation
Distribution Statement
Approved for public release; distribution is unlimited.
Rights
This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.