Quantitative grain-scale ferroic domain volume fractions and domain switching strains from three-dimensional X-ray diffraction data

Jette Oddershede, Marta Majkut, Qinghua Caosyd, Søren Schmidt, Jonathan P. Wright, Peter Kenesei, John E. Daniels

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A method for the extension of the three-dimensional X-ray diffraction technique to allow the extraction of domain volume fractions in polycrystalline ferroic materials is presented. This method gives access to quantitative domain volume fractions of hundreds of independent embedded grains within a bulk sample. Such information is critical to furthering our understanding of the grainscale interactions of ferroic domains and their influence on bulk properties. The method also provides a validation tool for mesoscopic ferroic domain modelling efforts. The mathematical formulations presented here are applied to tetragonal coarse-grained Ba0.88Ca0.12Zr0.06Ti0.94O3 and rhombohedral fine-grained (0.82)Bi0.5Na0.5TiO3–(0.18)Bi0.5K0.5TiO3 electroceramic materials. The fitted volume fraction information is used to calculate grain-scale non-180° ferroelectric domain switching strains. The absolute errors are found to be approximately 0.01 and 0.03% for the tetragonal and rhombohedral cases, which had maximum theoretical domain switching strains of 0.47 and 0.54%, respectively. Limitations and possible extensions of the technique are discussed.
Original languageEnglish
JournalJournal of Applied Crystallography
Pages (from-to)882-889
Publication statusPublished - 2015


  • Ferroic materials
  • Domain volume fractions
  • Grain-scale strain
  • Three-dimensional X-ray diffraction


FTP-PIEZO Multi-scale mapping of strain mechanisms in lead-free piezoceramics

Oddershede, J., Schmidt, S. & Majkut, M.


Project: Research


  • 1 Conference presentations

Quantitative grain-scale ferroelectric domain volume fractions and domain switching strains measured by 3DXRD during in situ electrical poling

Jette Oddershede (Lecturer)

1 Oct 2015

Activity: Talks and presentationsConference presentations

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