Theory of X-ray reflection broadening for textures with double-axis averaging: From semicrystalline polymers exhibiting twisted lamellar growth to discotic liquid crystals

Valeriy Luchnikov*, Denis Anokhin, Stephen Z.D. Cheng, Chien-Lung Wang, Georg Bar, Dimitri A. Ivanov

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

5 Scopus citations

Abstract

It is shown that textures with double-axis averaging similar to the a-texture, or Keller-Machin Type I texture, are not specific to semicrystalline polymers exhibiting twisted lamellar growth. In this work, such texture is observed in extruded fibers of a typical discotic molecule, trans-diC60-Zn porphyrin. Experimentally, these textures can be detected from the characteristic comma-like azimuthal profiles of the non-equatorial diffraction peaks in two-dimensional X-ray patterns. Analytical expressions for the azimuthal intensity distribution are developed, which are in good agreement with the experiment. In the proposed generalized coordinates, the diffraction peak shape becomes universal. This provides a simple means of checking the closeness of the sample morphology to the a-texture from just one two-dimensional pattern, without constructing the whole X-ray pole figure.

Original languageEnglish
Pages (from-to)540-544
Number of pages5
JournalJournal of Applied Crystallography
Volume44
Issue number3
DOIs
StatePublished - 1 Jun 2011

Keywords

  • double-axis averaging
  • fiber texture
  • liquid crystals
  • X-ray reflection broadening

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