skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Elaboration on the hexagonal grid and spiral trace schemes for pole figure data collection

Abstract

A practical description of the mathematics required to implement the hexagonal grid and spiral trace pole figure data collection schemes is presented. Applying the concepts of stereographic and equal area projections with geometry, spreadsheets were created to calculate the angular settings of the goniometer. Using the generated settings, the hexagonal grid and spiral trace schemes were programmed into the existing X-ray software and employed to collect data for a sample of aluminum foil. The resulting (111) pole figures were similar to those collected with the conventional 5°χ×5°Φ grid. Here, the hexagonal grid has been shown by others to reduce the number of data points and time needed to complete a pole figure, while providing equal area sampling. Although not optimized, the spiral method was also investigated as another alternative to the 5°χ×5°Φ grid.

Authors:
 [1];  [2];  [2]
  1. Ball State Univ., Muncie, IN (United States)
  2. Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
Publication Date:
Research Org.:
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). High Temperature Materials Lab. (HTML)
Sponsoring Org.:
USDOE Office of Energy Efficiency and Renewable Energy (EERE)
OSTI Identifier:
936539
DOE Contract Number:  
AC05-00OR22725
Resource Type:
Journal Article
Journal Name:
Powder Diffraction
Additional Journal Information:
Journal Volume: 23; Journal Issue: 02; Journal ID: ISSN 0885-7156
Publisher:
Cambridge University Press
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICS AND COMPUTING

Citation Formats

Rizzie, Anthony C., Watkins, Thomas R., and Payzant, E. Andrew. Elaboration on the hexagonal grid and spiral trace schemes for pole figure data collection. United States: N. p., 2012. Web. doi:10.1154/1.2919049.
Rizzie, Anthony C., Watkins, Thomas R., & Payzant, E. Andrew. Elaboration on the hexagonal grid and spiral trace schemes for pole figure data collection. United States. doi:10.1154/1.2919049.
Rizzie, Anthony C., Watkins, Thomas R., and Payzant, E. Andrew. Wed . "Elaboration on the hexagonal grid and spiral trace schemes for pole figure data collection". United States. doi:10.1154/1.2919049.
@article{osti_936539,
title = {Elaboration on the hexagonal grid and spiral trace schemes for pole figure data collection},
author = {Rizzie, Anthony C. and Watkins, Thomas R. and Payzant, E. Andrew},
abstractNote = {A practical description of the mathematics required to implement the hexagonal grid and spiral trace pole figure data collection schemes is presented. Applying the concepts of stereographic and equal area projections with geometry, spreadsheets were created to calculate the angular settings of the goniometer. Using the generated settings, the hexagonal grid and spiral trace schemes were programmed into the existing X-ray software and employed to collect data for a sample of aluminum foil. The resulting (111) pole figures were similar to those collected with the conventional 5°χ×5°Φ grid. Here, the hexagonal grid has been shown by others to reduce the number of data points and time needed to complete a pole figure, while providing equal area sampling. Although not optimized, the spiral method was also investigated as another alternative to the 5°χ×5°Φ grid.},
doi = {10.1154/1.2919049},
journal = {Powder Diffraction},
issn = {0885-7156},
number = 02,
volume = 23,
place = {United States},
year = {2012},
month = {2}
}

Works referenced in this record:

Automatic Pole Figure Plotter
journal, July 1965

  • Eichhorn, Robert M.
  • Review of Scientific Instruments, Vol. 36, Issue 7
  • DOI: 10.1063/1.1719805

Optimization of X-Ray Pole Figure Measurement
journal, January 2004


Optimization of Texture Measurements by Pole Figure Coverage with Hexagonal Grids
journal, October 1992