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2013 Fiscal Year Final Research Report

Studies of the Hume-Rothery-type phase stabilization mechanism for intermetallic compounds with different unit cell sizes

Research Project

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Project/Area Number 23560793
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Physical properties of metals
Research InstitutionNagoya Industrial Science Research Institute

Principal Investigator

MIZUTANI Uichiro  公益財団法人名古屋産業科学研究所, その他部局等, 研究員 (00072679)

Co-Investigator(Renkei-kenkyūsha) SATO Hirokazu  愛知教育大学, 教育学部, 名誉教授 (20024094)
INUKAI Manabu  名古屋工業大学, 大学院工学研究科, 産学官 連携研究員 (50437050)
Project Period (FY) 2011 – 2013
Keywords電子論 / 相安定化機構 / Hume-Rothery則 / 金属間化合物
Research Abstract

The principal investigator and his co-workers have developed the FLAPW-Fourier method, which is capable of extracting the set of lattice planes interfering with electrons at the Fermi level. In the first place, we proved that the Hume-Rothery phase stabilization mechanism holds for RT- and MI-type approximants containing more than 130 atoms per unit cell. In the second, we selected inter metallic compounds with different unit cell sizes over 20 to 1178 atoms per cell and could interpret the origin of the pseudo gap at the Fermi level in terms of the interference phenomenon with specific sets of lattice planes. In the third place, we could reliably determine the number of itinerant electrons per atom, e/a, for 3d-, 4d- and 5d-transition metal elements in the periodic table. We also showed that the Hume-Rothery phase stabilization mechanism holds irrespective of alloying environment effects such as the size of the unit cell, bonding styles and crystal structures.

  • Research Products

    (15 results)

All 2013 2012 Other

All Journal Article (4 results) Presentation (7 results) Book (3 results) Remarks (1 results)

  • [Journal Article] NFE approximation for the e/a determination for 3d-transition metal elements and their intermetallic compounds with Al and Zn2013

    • Author(s)
      H.Sato, M.Inukai, E.S.Zijlstra and U.Mizutani
    • Journal Title

      Phil.Mag

      Volume: 93 Pages: 3029-3061

  • [Journal Article] e/a determination for 4d- and 5d-transition metal elements and their intermetallic compounds with Mg2013

    • Author(s)
      U.Mizutani, H.Sato, M.Inukai and E.S.Zijlstra
    • Journal Title

      Al, Zn, Cd and In, Phil.Mag

      Volume: 93 Pages: 3353-3390

  • [Journal Article] Hume-Rothery stabilization mechanism and e/a determination in MI-type Al-Mn, Al-Re, Al-Re-Si, Al-Cu-Fe-Si and Al-Cu-Ru-Si 1/1-1/1-1/1 approximants-- A proposal for a new Hume-Rothery electron concentration rule--2012

    • Author(s)
      U.Mizutani, M.Inukai, H.Sato and E.S.Zijlstra
    • Journal Title

      Phil.Mag

      Volume: 92 Pages: 1691-1715

  • [Journal Article] Hume-Rothery stabilization mechanism and e/a determination for RT- and MI-type 1/1-1/1-1/1 approximants studied by FLAPW-Fourier analyses2012

    • Author(s)
      U.Mizutani, M.Inukai, H.Sato and E.S.Zijlstra
    • Journal Title

      Chemical Society Reviews

      Volume: 41 Pages: 6799-6820

  • [Presentation] Theoretical foundations for the Hume-Rothery electron concentration rule for structurally complex alloys2013

    • Author(s)
      U.Mizutani, H.Sato, M.Inukai, E.S.Zijlstra
    • Organizer
      12th International conference on quasicrystals
    • Place of Presentation
      Krakow, Poland
    • Year and Date
      20130901-06
  • [Presentation] Fermi surface-Brillouin zone interactions in 2/1-2/1-2/1 Bergman-type approximant Na_<27>Au_<27>Ga_<31>2013

    • Author(s)
      U.Mizutani, H.Sato, M.Inukai, Q.Lin, J.D.Corbett and G.J.Miller
    • Organizer
      12th International conference on quasicrystals
    • Place of Presentation
      Krakow, Poland
    • Year and Date
      20130901-06
  • [Presentation] "Interpretation of the Hume-Rothery electron concentration rule for quasicrystals and their approximants based on FLAPW-Fourier band calculations"2013

    • Author(s)
      U.Mizutani, H.Sato, M.Inukai and E.S.Zijlstra
    • Organizer
      Jean Lamour Institute colloquium
    • Place of Presentation
      Nancy, France
    • Year and Date
      2013-11-22
  • [Presentation] FLAPW-Fourier法に基づいた遷移金属元素のe/aの決定理論(I)2013

    • Author(s)
      佐藤洋一、水谷宇一郎、犬飼学
    • Organizer
      日本物理学会
    • Place of Presentation
      広島大学
    • Year and Date
      2013-03-29
  • [Presentation] Hume-Rothery Stabilization Mechanism of Be-Based Complex Alloys2012

    • Author(s)
      H.Sato, M.Inukai, E.S.Zijlstra and U.Mizutani
    • Organizer
      Aperiodic 2012
    • Place of Presentation
      Cairns, Australia
    • Year and Date
      20120902-07
  • [Presentation] Hume-Rothery Stabilization Mechanism in Tsai-Type Cd_6Ca Approximant and e/a Determination of Ca and Cd Elements in the Periodic Table2012

    • Author(s)
      U.Mizutani, M.Inukai, H.Sato, K.Nozawa and E.S.Zijlstra
    • Organizer
      Aperiodic 2012
    • Place of Presentation
      Cairns, Australia
    • Year and Date
      20120902-07
  • [Presentation] Hume-Rothery Stabilization Mechanism in Low-Temperature Phase Zn_6Sc Approximant and e/a Determination of Sc and Y in M-Sc and M-Y (M=Zn, Cd and Al) Alloy Systems2012

    • Author(s)
      U.Mizutani, M.Inukai, H.Sato and E.S.Zijlstra
    • Organizer
      Aperiodic 2012
    • Place of Presentation
      Cairns, Australia
    • Year and Date
      20120902-07
  • [Book] Hume-Rothery Stabilization Mechanism of Be-Based Complex Alloys2013

    • Author(s)
      H.Sato, M.Inukai, E.S.Zijlstra and U.Mizutani
    • Total Pages
      95-100
    • Publisher
      Aperiodic Crystals, Springer Dordrecht Heidelberg
  • [Book] Hume-Rothery Stabilization Mechanism in Tsai-Type Cd_6Ca Approximant and e/a Determination of Ca and Cd Elements in the Periodic Table2013

    • Author(s)
      U.Mizutani, M.Inukai, H.Sato, K.Nozawa and E.S.Zijlstra
    • Total Pages
      101-107
    • Publisher
      Aperiodic Crystals, Springer Dordrecht Heidelberg
  • [Book] Hume-Rothery Stabilization Mechanism in Low-Temperature Phase Zn_6Sc Approximant and e/a Determination of Sc and Y in M-Sc and M-Y (M=Zn, Cd and Al) Alloy Systems2013

    • Author(s)
      U.Mizutani, M.Inukai, H.Sato and E.S.Zijlstra
    • Total Pages
      109-115
    • Publisher
      Aperiodic Crystals, Springer Dordrecht Heidelberg
  • [Remarks] 水谷宇一郎

    • URL

      http://www.sky.sannet.ne.jp/uichiro/

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Published: 2015-07-16  

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