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Development of a two-dimensional dark fringe method to measure sphere diameters and an accurate determination of the Avogadro constant by using a 28Si crystal

Research Project

Project/Area Number 24360037
Research Category

Grant-in-Aid for Scientific Research (B)

Allocation TypePartial Multi-year Fund
Section一般
Research Field Applied physics, general
Research InstitutionNational Institute of Advanced Industrial Science and Technology

Principal Investigator

KURAMOTO NAOKI  独立行政法人産業技術総合研究所, 計測標準研究部門, 主任研究員 (60356938)

Co-Investigator(Kenkyū-buntansha) WASEDA Atsushi  産業技術総合研究所, 計測標準研究部門, 主任研究員 (20272172)
AZUMA Yasushi  産業技術総合研究所, 計測標準研究部門, 主任研究員 (30356365)
FUJIMOTO Hiroyuki  産業技術総合研究所, 計測標準研究部門, 主任研究員 (30357917)
FUJII Kenichi  産業技術総合研究所, 計測標準研究部門, 首席研究員 (50357901)
水島 茂喜  独立行政法人産業技術総合研究所, 計測標準研究部門, 主任研究員 (60358091)
Project Period (FY) 2012-04-01 – 2015-03-31
Project Status Completed (Fiscal Year 2014)
Budget Amount *help
¥20,020,000 (Direct Cost: ¥15,400,000、Indirect Cost: ¥4,620,000)
Fiscal Year 2014: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Fiscal Year 2013: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Fiscal Year 2012: ¥16,640,000 (Direct Cost: ¥12,800,000、Indirect Cost: ¥3,840,000)
Keywords基礎物理定数 / 標準 / アボガドロ定数 / 光周波数制御 / 超精密計測
Outline of Final Research Achievements

The kilogram is currently defined by the international prototype of the kilogram. To redefine the kilogram based on fundamental constants, a two-dimensional dark fringe method to measure diameters of 1 kg Si spheres has been developed and a 28Si-enriched crystal has been used to determine the Avogadro constant by the X-ray crystal density method. The volume and mass of two 1 kg 28Si spheres have been measured by using a laser interferometer and a vacuum balance, respectively. The surface of the spheres has been analyzed by a spectroscopic ellipsometer calibrated by X-ray reflectometry. The Avogadro constant has been determined with a relative uncertainty of 2.0E-8. This is the most accurate value directly determined experimentally to date, resulting in a strong trigger to conduct the redefinition of the kilogram based on the fundamental constants in 2018.

Report

(4 results)
  • 2014 Annual Research Report   Final Research Report ( PDF )
  • 2013 Annual Research Report
  • 2012 Annual Research Report
  • Research Products

    (39 results)

All 2015 2014 2013 2012

All Journal Article (25 results) (of which Peer Reviewed: 15 results,  Acknowledgement Compliant: 5 results) Presentation (14 results) (of which Invited: 2 results)

  • [Journal Article] Improved measurement results for the Avogadro constant using a 28Si-enriched crystal2015

    • Author(s)
      Yasushi Azuma, Kenichi Fujii, Hiroyuki Fujimoto, Naoki Kuramoto, Shigeki Mizushima, Atsushi Waseda ほか
    • Journal Title

      Metrologia

      Volume: 52 Issue: 2 Pages: 360-375

    • DOI

      10.1088/0026-1394/52/2/360

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Improvements to the Volume Measurement of 28Si Spheres to Determine the Avogadro Constant2015

    • Author(s)
      Naoki Kuramoto, Yasushi Azuma, Hajime Inaba, Feng-Lei Hong, Kenichi Fujii
    • Journal Title

      IEEE TRANSACTIONS ON INSTRUMENTATION AND MEASUREMENT

      Volume: 64 Issue: 6 Pages: 1650-1656

    • DOI

      10.1109/tim.2015.2401212

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Mass Measurement of 1-kg Silicon Spheres for Determination of the Avogadro and Planck Constants2015

    • Author(s)
      Shigeki Mizushima, Naoki Kuramoto, Kazunaga Ueda, Kenichi Fujii
    • Journal Title

      IEEE TRANSACTIONS ON INSTRUMENTATION AND MEASUREMENT

      Volume: 64 Issue: 6 Pages: 1527-1532

    • DOI

      10.1109/tim.2015.2389351

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Surface Layer Analysis of Si Sphere by XRF and XPS2015

    • Author(s)
      Lulu Zhang, Yasushi Azuma, Akira Kurokawa, Naoki Kuramoto, Kenichi Fujii
    • Journal Title

      IEEE TRANSACTIONS ON INSTRUMENTATION AND MEASUREMENT

      Volume: 64 Issue: 6 Pages: 1509-1513

    • DOI

      10.1109/tim.2015.2389352

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Homogeneity Characterization of Lattice Spacing of Silicon Single Crystals2015

    • Author(s)
      Atsushi Waseda, Hiroyuki Fujimoto, Xiao Wei Zhang, Naoki Kuramoto, Kenichi Fujii
    • Journal Title

      IEEE TRANSACTIONS ON INSTRUMENTATION AND MEASUREMENT

      Volume: 64 Issue: 6 Pages: 1692-1695

    • DOI

      10.1109/tim.2014.2383091

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] 基礎物理定数に基づく新しいキログラムとモルの定義2015

    • Author(s)
      倉本直樹、東康史、藤井賢一
    • Journal Title

      ぶんせき

      Volume: 印刷中

    • Related Report
      2014 Annual Research Report
  • [Journal Article] Molar-mass measurement of a 28Si-enriched silicon crystal for determination of the Avogadro constant2014

    • Author(s)
      Tomohiro Narukawa, Akiharu Hioki, Naoki Kuramoto, Kenichi Fuji
    • Journal Title

      Metrologia

      Volume: 51 Issue: 3 Pages: 161-168

    • DOI

      10.1088/0026-1394/51/3/161

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed
  • [Journal Article] 物質量(mol)についての基礎解説と最新動向2014

    • Author(s)
      倉本直樹
    • Journal Title

      計測と制御

      Volume: 53 Pages: 368-373

    • Related Report
      2014 Annual Research Report
  • [Journal Article] キログラムの定義改定に向けた質量標準の開発動向2014

    • Author(s)
      藤井賢一
    • Journal Title

      日本物理学会誌

      Volume: 69 Pages: 604-612

    • Related Report
      2014 Annual Research Report
  • [Journal Article] 正確なアボガドロ定数2014

    • Author(s)
      藤井賢一
    • Journal Title

      化学と教育

      Volume: 62 Pages: 368-371

    • Related Report
      2014 Annual Research Report
  • [Journal Article] SI単位の定義改定をめぐる最近の動き2014

    • Author(s)
      藤井賢一
    • Journal Title

      精密工学会誌

      Volume: 80 Pages: 625-629

    • NAID

      130004513566

    • Related Report
      2014 Annual Research Report
  • [Journal Article] European Metrology Reserach Prgramme: Advances on the Realization of the Kilogram Redefinition2014

    • Author(s)
      T. Arnold, H. Baumann, H. Bettin, F. Bielsa, A. Eichenberger, Naoki Kuramoto, G. Mana, E. Massa, S. Merlet, F. Pereira dos Santos, A. Picard, P. Pinot, F. Piqumal
    • Journal Title

      Digest of Conference on Precision Electromagnetic Measurements 2014

      Volume: - Pages: 426-427

    • DOI

      10.1109/cpem.2014.6898441

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Volume measurement of 28Si spheres by an improved optical interferometer and ellipsometer to determined the Avogadro constant2014

    • Author(s)
      Naoki Kuramoto, Yasushi Azuma, Hajime Inaba, Feng-Lei Hong, Kenichi Fujii
    • Journal Title

      Digest of Conference on Precision Electromagnetic Measurements 2014

      Volume: - Pages: 210-211

    • DOI

      10.1109/cpem.2014.6898333

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Surface Layer Analysis of Si Sphere by XRF and XPS2014

    • Author(s)
      Lulu Zhang, Yasushi Azuma, Akira Kurokawa, Naoki Kuramoto, Kenichi Fujii
    • Journal Title

      Digest of Conference on Precision Electromagnetic Measurements 2014

      Volume: - Pages: 208-209

    • DOI

      10.1109/cpem.2014.6898332

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Mass measurement of 1-kg silicon spheres for the precise determination of the Avogadro constant at the NMIJ2014

    • Author(s)
      Shigeki Mizushima, Naoki Kuramoto, Kazunaga Ueda, Kenichi Fujii
    • Journal Title

      Digest of Conference on Precision Electromagnetic Measurements 2014

      Volume: - Pages: 392-393

    • DOI

      10.1109/cpem.2014.6898424

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Homogeneity characterization of lattice spacing of silicon single crystals2014

    • Author(s)
      Atsushi Waseda, Hiroyuki Fujimoto, Xiao Wei Zhang, Naoki Kuramoto, Kenichi Fujii
    • Journal Title

      Digest of Conference on Precision Electromagnetic Measurements 2014

      Volume: - Pages: 400-401

    • DOI

      10.1109/cpem.2014.6898428

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed
  • [Journal Article] International comparison of volume measurement for a 1 kg silicon sphere2014

    • Author(s)
      Naoki Kuramoto, Kyung Ho Chang, Kenichi Fujii, Yong Jae Lee
    • Journal Title

      Measurement

      Volume: 49 Pages: 187-195

    • DOI

      10.1016/j.measurement.2013.11.038

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] 次世代質量標準実現のためのシリコン結晶の密度測定と表面分析2013

    • Author(s)
      倉本 直樹、東 康史、稲場 肇、洪 鋒雷、藤井 賢一
    • Journal Title

      第34回日本熱物性シンポジウム講演論文集

      Volume: 34 Pages: 132-134

    • Related Report
      2013 Annual Research Report
  • [Journal Article] 物質量の話-モル、アボガドロ定数の現在と将来2013

    • Author(s)
      倉本 直樹、藤井 賢一
    • Journal Title

      ペトロテック

      Volume: 36 Pages: 482-486

    • Related Report
      2013 Annual Research Report
  • [Journal Article] 密度・粘度の話2013

    • Author(s)
      倉本 直樹、藤田 佳孝
    • Journal Title

      ペトロテック

      Volume: 36 Pages: 551-556

    • Related Report
      2013 Annual Research Report
  • [Journal Article] 国際単位系(SI) 普遍定数に基づく再定義の動き2013

    • Author(s)
      藤井 賢一
    • Journal Title

      数理科学

      Volume: 599 Pages: 16-21

    • Related Report
      2013 Annual Research Report
  • [Journal Article] 単位をめぐる最先端科学-基本単位が変わるとどうなるのか-2013

    • Author(s)
      藤井 賢一
    • Journal Title

      ミルシル

      Volume: 6 Pages: 6-9

    • Related Report
      2013 Annual Research Report
  • [Journal Article] The uncertainty of the phase-correction in sphere-diameter measurements2012

    • Author(s)
      Birk Andereas, Kenichi Fujii, Naoki Kuramoto, Giovanni Mana
    • Journal Title

      Metrologia

      Volume: 49 Issue: 4 Pages: 479-486

    • DOI

      10.1088/0026-1394/49/4/479

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Uncertainty reduction in the volume measurement of Si spheres by an optical interferometer to determine the Avogadro constant2012

    • Author(s)
      Naoki Kuramoto, Hajime Inaba, Kenichi Fujii
    • Journal Title

      Digest of Conference on Precision Electromagnetic Measurements 2012

      Pages: 356-357

    • DOI

      10.1109/cpem.2012.6250949

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Realization of the anticipated definition of the kilogram2012

    • Author(s)
      H. Baumann, H. Bettin, F. Bielsa, A. Eichenberger, G. Geneves, N. Kuramoto, G. Mana, E. Massa, F. Pereira dos Santos, A. Picard, P. Pinot, A. Shindler
    • Journal Title

      Digest of Conference on Precision Electromagnetic Measurements 2012

      Pages: 340-341

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Presentation] アボガドロ定数決定のための単結晶シリコンの結晶評価2015

    • Author(s)
      早稲田篤、藤本弘之、張小威、倉本直樹
    • Organizer
      第3回大学共同利用機関法人高エネルギー加速器研究機構物質構造科学研究所サイエンスフェスタ第32回PFシンポジウム
    • Place of Presentation
      つくば国際会議場、茨城県
    • Year and Date
      2015-03-17 – 2015-03-18
    • Related Report
      2014 Annual Research Report
  • [Presentation] Realization of the Mass Standard Based on Fundamental Physical Constants2014

    • Author(s)
      Naoki Kuramoto
    • Organizer
      14th Japanese-American Frontier of Science (JAFoS) Symposium
    • Place of Presentation
      ホテルニューオータニ、東京都
    • Year and Date
      2014-12-04 – 2014-12-07
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] European Metrology Research Program: Advances on the Realization of the Kilogram Definition2014

    • Author(s)
      T. Arnold, Azuma Yasushi, Kenichi Fujii, Hiroyuki Hujimoto, Naoki Kuramoto, S. Mizushima, Atsushi Waseda
    • Organizer
      Conference on Precision Electromagnetic Measurements 2014
    • Place of Presentation
      Windsor Barra Hotel、リオデジャネイロ(ブラジル)
    • Year and Date
      2014-08-24 – 2014-08-29
    • Related Report
      2014 Annual Research Report
  • [Presentation] Volume measurement of 28Si spheres by an improved optical interferometer and ellipsometer to determine the Avogadro constant2014

    • Author(s)
      Naoki Kuramoto, Yasushi Azuma, Hajime Inaba, Feng-Lei Hong, Kenichi Fujii
    • Organizer
      Conference on Precision Electromagnetic Measurements 2014
    • Place of Presentation
      Windsor Barra Hotel、リオデジャネイロ(ブラジル)
    • Year and Date
      2014-08-24 – 2014-08-29
    • Related Report
      2014 Annual Research Report
  • [Presentation] Surface Layer Analysis of Si Sphere by XRF and XPS2014

    • Author(s)
      Lulu Zhang, Yasushi Azuma, Akira Kurokawa, Naoki Kuramoto, Kenichi Fujii
    • Organizer
      Conference on Precision Electromagnetic Measurements 2014
    • Place of Presentation
      Windsor Barra Hotel、リオデジャネイロ(ブラジル)
    • Year and Date
      2014-08-24 – 2014-08-29
    • Related Report
      2014 Annual Research Report
  • [Presentation] Mass measurement of 1-kg silicon spheres for the precise determination of the Avogadro constant at the NMIJ2014

    • Author(s)
      Shigeki Mizushima, Naoki Kuramoto, Kazunaga Ueda, Kenichi Fujii
    • Organizer
      Conference on Precision Electromagnetic Measurements 2014
    • Place of Presentation
      Windsor Barra Hotel、リオデジャネイロ(ブラジル)
    • Year and Date
      2014-08-24 – 2014-08-29
    • Related Report
      2014 Annual Research Report
  • [Presentation] Homogeneity characterization of lattice spacing of silicon single crystals2014

    • Author(s)
      Atsushi Waseda, Hiroyuki Fujimoto, Xiao Wei Zhang, Naoki Kuramoto, Kenichi Fujii
    • Organizer
      Conference on Precision Electromagnetic Measurements 2014
    • Place of Presentation
      Windsor Barra Hotel、リオデジャネイロ(ブラジル)
    • Year and Date
      2014-08-24 – 2014-08-29
    • Related Report
      2014 Annual Research Report
  • [Presentation] アボガドロ定数決定のための単結晶シリコン結晶評価2014

    • Author(s)
      早稲田 篤、藤本弘之、倉本 直樹、張 小威
    • Organizer
      高エネルギー加速器機構物質構造科学研究所第31回PFシンポジウム
    • Place of Presentation
      茨城県つくば市つくば国際会議場
    • Related Report
      2013 Annual Research Report
  • [Presentation] アボガドロ定数決定のための単結晶シリコンの結晶評価2013

    • Author(s)
      早稲田篤、藤本弘之、張小威、倉本直樹
    • Organizer
      大学共同利用機関法人高エネルギー加速器研究機構物質構造科学研究所サイエンスフェスタ第30回PFシンポジウム
    • Place of Presentation
      茨城県つくば市、つくば国際会議場
    • Year and Date
      2013-03-14
    • Related Report
      2012 Annual Research Report
  • [Presentation] Toward the redefinition of the kilogram from the 28Si international research project2013

    • Author(s)
      Kenichi Fujii
    • Organizer
      Asia-Pacific Symposium on Measurement of Mass, Force and Torque
    • Place of Presentation
      Sheraton Grande Taipei Hotel, Taipei(Taiwan)
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] 次世代質量標準実現のためのシリコン結晶の密度測定と表面分析2013

    • Author(s)
      倉本 直樹、東 康史、稲 場肇、洪 雷鋒、藤井 賢一
    • Organizer
      第34回日本熱物性シンポジウム
    • Place of Presentation
      富山県富山市富山県民会館
    • Related Report
      2013 Annual Research Report
  • [Presentation] 蛍光X線分析用フレキシブルな金属薄膜標準試料の作製2013

    • Author(s)
      張 ルウルウ、東 康史、寺内 信哉、伊藤 美香、黒河 明
    • Organizer
      2013真空・表面科学合同講演会
    • Place of Presentation
      茨城県つくば市つくば国際会議場
    • Related Report
      2013 Annual Research Report
  • [Presentation] Uncertainty reduction in the volume measurement of Si spheres by an optical interferometer to determine the Avogadro constant2012

    • Author(s)
      Naoki Kuramoto, Hajime Inaba, Kenichi Fujii
    • Organizer
      Conference on Precision Electromagnetic Measurements 2012
    • Place of Presentation
      アメリカ合衆国、ワシントンDC, Gaylord National Resort
    • Year and Date
      2012-07-03
    • Related Report
      2012 Annual Research Report
  • [Presentation] Realization of the anticipated definition of the kilogram2012

    • Author(s)
      H. Baumann, H. Bettin, F. Bielsa, A. Eichenberger, G. Geneves, N. Kuramoto, G. Mana, E. Massa, F. Pereira dos Santos, A. Picard, P. Pinot, A. Shindler
    • Organizer
      Conference on Precision Electromagnetic Measurements 2012
    • Place of Presentation
      アメリカ合衆国、ワシントンDC, Gaylord National Resort
    • Year and Date
      2012-07-03
    • Related Report
      2012 Annual Research Report

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Published: 2012-04-24   Modified: 2019-07-29  

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