Ultra-high-angle double-crystal X-ray diffractometry (U-HADOX) for determining a change in the lattice spacing: Theory

Atsushi Okazaki, Yuji Soejima

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

Advantages of high-angle double-crystal X-ray diffractometry (HADOX) have been re-examined. It is found that, by extending the Bragg angle θ up to 89.99°, the accuracy of a change in the lattice spacing to one part in 109-1010 can be attained in proportion to tan θ. In such a case, the dispersion-free condition is so serious that the spacing of the two crystals should be equal within one part in 106. Therefore, this method is appropriate for determining the thermal expansion coefficient in a limited temperature range. To cover a wide temperature range, the temperature of the reference crystal must be adjusted according to the temperature of the specimen crystal; the lattice spacing as a function of temperature can be determined by integrating the temperature derivative of the spacing.

Original languageEnglish
Pages (from-to)708-712
Number of pages5
JournalActa Crystallographica Section A: Foundations of Crystallography
Volume57
Issue number6
DOIs
Publication statusPublished - Nov 20 2001

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Crystal lattices
X ray diffraction analysis
spacing
X-Rays
Crystals
Temperature
crystals
x rays
temperature
Bragg angle
Thermal expansion
thermal expansion
proportion
Reference Values
Hot Temperature
Derivatives
coefficients

All Science Journal Classification (ASJC) codes

  • Structural Biology

Cite this

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