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Universality and its limits of Hume-Rothery electron concentration rules in metallurgy

Research Project

Project/Area Number 20560620
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Physical properties of metals
Research InstitutionToyota Physical & Chemical Research Institute

Principal Investigator

MIZUTANI Uichiro  Toyota Physical & Chemical Research Institute, 上席研究員 (00072679)

Co-Investigator(Kenkyū-buntansha) 竹内 恒博  名古屋大学, エコトピア科学研究所, 准教授 (00293655)
長谷川 正  名古屋大学, 工学研究科, 教授 (20218457)
佐藤 洋一  愛知教育大学, 教育学部, 教授 (20024094)
Project Period (FY) 2008 – 2010
Project Status Completed (Fiscal Year 2010)
Budget Amount *help
¥3,770,000 (Direct Cost: ¥2,900,000、Indirect Cost: ¥870,000)
Fiscal Year 2010: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2009: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2008: ¥2,080,000 (Direct Cost: ¥1,600,000、Indirect Cost: ¥480,000)
Keywords原子 / 電子構造 / 複雑構造物質 / Hume-Rothery電子濃度則 / ガンマ相合金 / 相安定化機構 / 固溶体形成機構
Research Abstract

The gamma-brass containing 52 atoms per unit cell has been known as being typical of structurally complex alloy phases and stabilized at electrons per atom ratio e/a=21/13. This has been referred to as the Hume-Rothery electron concentration rule since the late 1920s. The principal investigator has developed the FLAPW-Fourier method to resolve quantitatively this empirical rule in the framework of the first-principles band calculations. The present research could prove that a series of gamma-brasses are stabilized by forming a pseudogap across the Fermi level as a result of the interaction of the Fermi surface with the Brillouin zone associated with the square of the reciprocal lattice vectors equal to 18.

Report

(4 results)
  • 2010 Annual Research Report   Final Research Report ( PDF )
  • 2009 Annual Research Report
  • 2008 Annual Research Report
  • Research Products

    (29 results)

All 2010 2009 2008 Other

All Journal Article (11 results) (of which Peer Reviewed: 11 results) Presentation (9 results) Book (5 results) Remarks (4 results)

  • [Journal Article] Hume-Rothery electron concentration rule across a whole solid solution range in a series of gamma-brasses in Cu-Zn, Cu-Cd, Cu-Al, Cu-Ga, Ni-Zn and Co-Zn alloy systems2010

    • Author(s)
      U.Mizutani, T.Noritake, T.Ohsuna, T.Takeuchi
    • Journal Title

      Philosophical Magazine vol.90

      Pages: 1985-2008

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] Fermi surface-Brillouin-zone-induced pseudogap in g-Mg17Al12 and a possible stabilization mechanism of b-Al3Mg22010

    • Author(s)
      U.Mizutani, Y.Kondo, Y.Nishino, M.Inukai, M.Feuerbacher, H.Sato
    • Journal Title

      J.Phys. : Condens.Mater vol.22

      Pages: 485501-485501

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] Hume-Rothery electron concentration rule across a whole solid solution range in a series of gamma-brasses in Cu-Zn, Cu-Cd, Cu-Al, Cu-Ga, Ni-Zn and Co-Zn alloy systems2010

    • Author(s)
      U.Mizutani, T.Noritake, T.Ohsuna, T.Takeuchi
    • Journal Title

      Philosophical Magazine

      Volume: 90 Pages: 1985-2008

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Fermi surface-Brillouin-zone-induced pseudogap in g-Mg17Al12 and a possible stabilization mechanism of b-Al3Mg22010

    • Author(s)
      U.Mizutani, Y.Kondo, Y.Nishino, M.Inukai, M.Feuerbacher, H.Sato
    • Journal Title

      J.Phys. : Condens.Mater.

      Volume: 22

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Hume-Rothery electron concentration rule across a whole solid solution range in a series of gamma-brasses in Cu-Zn, Cu-Cd, Cu-Al, Cu-Ga, Ni-Zn and Co-Zn alloy systems2010

    • Author(s)
      U.Mizutani, T.Noritake, T.Ohsuna, T.Takeuchi
    • Journal Title

      Philosophical Magazine 90

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] e/a determination for the transition metal element TM in Al-Cu-TM-Si (TM=Fe and Ru) approximants and B2-compounds by means of the FLAPW-Fourier method2009

    • Author(s)
      U.Mizutani, R.Asahi, T.Takeuchi, H.Sato, O.Y.Kontsevoi, A.J.Freeman
    • Journal Title

      Z.Kristallogr. vol.224

      Pages: 17-20

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] 固体物理学の誕生とHume-Rothery則2009

    • Author(s)
      水谷宇一郎
    • Journal Title

      まてりあ vol.48

      Pages: 119-125

    • NAID

      10024817023

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] e/a determination for the transition metal element TM in Al-Cu-TM-Si (TM=Fe and Ru) approximants and B2-compounds by means of the FLAPW-Fourier method2009

    • Author(s)
      U. Mizutani, R. Asahi, T. Takeuchi, H. Sato, O. Y. Kontsevoi, A. J. Freeman
    • Journal Title

      Z. Kristallogr 224

      Pages: 17-20

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] 固体物理学の誕生と Hume-Rothery 則2009

    • Author(s)
      水谷宇一郎
    • Journal Title

      まてりあ 48

      Pages: 119-125

    • NAID

      10024817023

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Failure of the Hume-Rothery stabilization mechanism in the Ag5Li8 gamma-brass studied by first-principles FLAPW electronic structure calculations2008

    • Author(s)
      U.Mizutani, R.Asahi, H.Sato, T.Noritake, T.Takeuchi
    • Journal Title

      J.Phys. : Condens.Matter vol.20

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] Failure of the Hume-Rothery stabilization mechanism in the Ag_5Li_8 gamma-brass studied by first-principles FLAPW electronic structure calculations2008

    • Author(s)
      U. Mizutani, R. Asahi, H. Sato, T. Noritake, T. Takeuchi
    • Journal Title

      J. Phys. : Condens. Matter 20

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Presentation] Hume-Rothery stabilization mechanism and d-states-mediated-Fermi surface-Brillouin zone interactions in structurally complex metallic alloys2010

    • Author(s)
      U.Mizutani, M.Inukai, H.Sato
    • Organizer
      11^<th> International Conference on Quasicrystals
    • Place of Presentation
      Sapporo
    • Related Report
      2010 Final Research Report
  • [Presentation] Electronic structure of Ag_5Zn_8, Ag_9In_4 and Mn_3In gamma-brasses studied by FLAPW band calculations2010

    • Author(s)
      M.Inukai, K.Soda, H.Sato, U.Mizutani
    • Organizer
      11^<th> International Conference on Quasicrystals
    • Place of Presentation
      Sapporo
    • Related Report
      2010 Final Research Report
  • [Presentation] WIEN2k-FLAPW-Fourier法を用いたAl-Mg-Zn及びAl-Li-Cu近似結晶における擬ギャップ生成機構2010

    • Author(s)
      水谷宇一郎
    • Organizer
      第15回準結晶研究会
    • Place of Presentation
      ラフォーレ蔵王リゾートホテル
    • Related Report
      2010 Final Research Report
  • [Presentation] Hume-Rothery stabilization mechanism and d-states-mediated-Fermi surface-Brillouin zone interactions in structurally complex metallic alloys2010

    • Author(s)
      U.Mizutani, M.Inukai, H.Sato
    • Organizer
      11^<th> International Conference on Quasicrystals
    • Place of Presentation
      Sapporo, Japan
    • Related Report
      2010 Annual Research Report
  • [Presentation] Electronic structure of Ag_5Zn_8, Ag_9In_4 and Mn_3In gamma-brasses studied by FLAPW band calculations2010

    • Author(s)
      M.Inukai, K.Soda, H.Sato, U.Mizutani
    • Organizer
      11^<th> International Conference on Quasicrystals
    • Place of Presentation
      Sapporo, Japan
    • Related Report
      2010 Annual Research Report
  • [Presentation] Hume-Rothery電子濃度則の普遍性とその限界に関するミクロな検証---固溶範囲を持つガンマ相におけるHume-Rothery電子濃度則の破綻---2009

    • Author(s)
      水谷宇一郎,則竹達夫,竹内恒博
    • Organizer
      日本物理学会第64回年次大会
    • Place of Presentation
      立教大学池袋キャンパス
    • Year and Date
      2009-03-27
    • Related Report
      2010 Final Research Report
  • [Presentation] Hume-Rothery 電子濃度則の普遍性とその限界に関するミクロな検証--固溶範囲を持つガンマ相における Hume-Rothery 電子濃度則の破綻--2009

    • Author(s)
      水谷宇一郎, 則竹達男, 竹内恒博
    • Organizer
      日本物理学会第64回年次大会
    • Place of Presentation
      立教大学池袋キャンパス
    • Year and Date
      2009-03-27
    • Related Report
      2008 Annual Research Report
  • [Presentation] The Hume-Rothery electron concentration rule for the complex metallic alloys2009

    • Author(s)
      水谷宇一郎
    • Organizer
      1^<st> International Conference on Complex Metallic Alloys and their Complexity(査読有)
    • Place of Presentation
      Nancy, France
    • Related Report
      2010 Final Research Report
  • [Presentation] The Hume-Rothery electron concentration rule for the complex metallic alloys2009

    • Author(s)
      U.Mizutani
    • Organizer
      1^<st> International Conference on Complex Metallic Alloys and their Complexity
    • Place of Presentation
      Nancy, France
    • Related Report
      2009 Annual Research Report
  • [Book] Hume-Rothery Rules for Structurally Complex Alloy Phases2010

    • Author(s)
      U.Mizutani
    • Publisher
      Taylor & Francis Group
    • Related Report
      2010 Final Research Report
  • [Book] Hume-Rothery Rules for Structurally Complex Alloy Phases2010

    • Author(s)
      U.Mizutani
    • Total Pages
      342
    • Publisher
      CRC Press, Taylor & Francis Group
    • Related Report
      2010 Annual Research Report
  • [Book] Chapter 15 in "Diffuse Scattering in the 21^<st> Century : Emerging Insights into Materials Structure and Behavior(edited by R.I.Barabash, G.E.Ice and P.E.A.Turchi)(AB INITIO TEST OF THE HUME-ROTHERY ELECTRON CONCENTRATION RULE FOR GAMMA-BRASSES)2009

    • Author(s)
      U.Mizutani, R.Asahi, H.Sato, T.Takeuchi
    • Publisher
      Momentum Press
    • Related Report
      2010 Final Research Report
  • [Book] Basics of Thermodynamics and Phase Transition in Complex Intermetallics(edited by Esther Belin-Ferre)("Electron transport properties of complex metallic alloys", in Book Series on Complex Metallic Alloys- vol.1)2008

    • Author(s)
      U.Mizutani
    • Related Report
      2010 Final Research Report
  • [Book] "Electron transport properties of complex metallic alloys" in Book Series on Complex Metallic Alloys- Vol.1 "Basics of Thermodynamics and Phase Transition in Complex Intermetallics", Edited by Esther Belin-Ferre2008

    • Author(s)
      U. Mizutani
    • Total Pages
      47
    • Publisher
      World Scientific, Singapore
    • Related Report
      2008 Annual Research Report
  • [Remarks] ホームページ等

    • URL

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

    • Related Report
      2010 Final Research Report
  • [Remarks]

    • URL

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

    • Related Report
      2010 Annual Research Report
  • [Remarks]

    • URL

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

    • Related Report
      2009 Annual Research Report
  • [Remarks]

    • URL

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

    • Related Report
      2008 Annual Research Report

URL: 

Published: 2008-04-01   Modified: 2016-04-21  

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