A compton scattering study on the Hume-Rothery mechanism of AlCu-TM (TM: Transition metal) quasicrystals

J. T. Okada, Y. Sakurai, Y. Watanabe, R. Ishikawa, Yoshihiko Yokoyama, N. Hiraoka, M. Itou, S. Nanao

Research output: Contribution to journalArticle

Abstract

The electron momentum distributions in icosahedral Al64Cu 23Fe13, icosahedral Al63Cu23Ru 13 and decagonal Al65Cu15Co20 quasicrystals have been studied using the high-resolution Compton scattering technique. The electron-per-atom ratios (e/a) of the quasicrystals were determined quantitatively for the first time from the Compton profiles. The radii of the Fermi spheres were evaluated from the values of e/a on the basis of the free-electron model. Comparisons between the radius of the Fermi spheres and the size of the quasi-Brillouin zones show that the icosahedral quasicrystals meet the empirical matching condition, while the decagonal quasicrystal does not do this so well. This implies that the Hume-Rothery mechanism works for the formation of the pseudogap near the Fermi level in the icosahedral quasicrystals, although it operates only slightly in the decagonal quasicrystal.

Original languageEnglish
Article number015
Pages (from-to)7203-7208
Number of pages6
JournalJournal of Physics Condensed Matter
Volume18
Issue number31
DOIs
Publication statusPublished - 2006 Aug 9
Externally publishedYes

ASJC Scopus subject areas

  • Materials Science(all)
  • Condensed Matter Physics

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    Okada, J. T., Sakurai, Y., Watanabe, Y., Ishikawa, R., Yokoyama, Y., Hiraoka, N., Itou, M., & Nanao, S. (2006). A compton scattering study on the Hume-Rothery mechanism of AlCu-TM (TM: Transition metal) quasicrystals. Journal of Physics Condensed Matter, 18(31), 7203-7208. [015]. https://doi.org/10.1088/0953-8984/18/31/015