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Electron Density Distribution of Hydrogen in Solids Obtained by the Maximum Entropy Method

Research Project

Project/Area Number 02452284
Research Category

Grant-in-Aid for General Scientific Research (B)

Allocation TypeSingle-year Grants
Research Field 結晶学
Research InstitutionNagoya University

Principal Investigator

SAKATA Makoto  Nagoya Univ.,Applied Phys.,Assoc.Prof.,, 工学部, 助教授 (40135306)

Co-Investigator(Kenkyū-buntansha) TAKATA M  Nagoya Univ.,Applied Phys.,Assist.Prof.,, 工学部, 助手 (60197100)
HARADA J  Nagoya Univ.,Applied Phys.,Prof.,, 工学部, 教授 (80016071)
Project Period (FY) 1990 – 1992
Project Status Completed (Fiscal Year 1992)
Budget Amount *help
¥6,800,000 (Direct Cost: ¥6,800,000)
Fiscal Year 1992: ¥800,000 (Direct Cost: ¥800,000)
Fiscal Year 1991: ¥1,000,000 (Direct Cost: ¥1,000,000)
Fiscal Year 1990: ¥5,000,000 (Direct Cost: ¥5,000,000)
KeywordsMaximum Entropy Method / Electron Density / Hydrogen Bond / X-Ray Diffraction / Accurate Structure Analysis / Neutron Diffraction / Powder Diffraction / Free Atom Model / 放射光 / マキシマムエントロピ-法 / 氷の構造 / ルチル / 粉末X線回折
Research Abstract

This scientific research aimed to investigate experimentally the pre- cise electron density distribution of hydrogen in solies. For that purpose, a new method called the Maximum Entropy Method (MEM) was developed as a part of the research. In order to establish the method, electron density distributions of various materials were obtained by applying MEM to powder X-ray diffraction data. It was found that MEM was very powerful method to visualize the accurately measured X-ray diffraction data in the form of electron densities. As for electron densities of hydrogen in solids, it was revealed that electron densities in the case of hydrogen bond distributed more like covalent bond electrons, whereas very spherical density distribu- tion of electrons were observed in the case of non-hydrogen bonding. The ionic charge of spherical distribution was found to correspond to negative ion of hydrogen. In both cases, it not appropriate to assume the distribu- tion of electrons of hydrogen in solids as a free atom. It seems that there is no justification to use the atomic form factor of hydrogen in the least squares refinement. This increases the difficulties to find the hydrogen in solids by X-ray diffraction. The precise electron density distribution of hydrogen will be observed by the Maximum Entropy Method in many materials in future.

Report

(4 results)
  • 1992 Annual Research Report   Final Research Report Summary
  • 1991 Annual Research Report
  • 1990 Annual Research Report
  • Research Products

    (31 results)

All Other

All Publications (31 results)

  • [Publications] M.Skakta: "Accurate Structure Analysis by the Maximum Entropy Method." Acta Cryst.A46. 263-270 (1990)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1992 Final Research Report Summary
  • [Publications] 坂田 誠: "物質の電子密度" 放射光. 4. 15-29 (1991)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1992 Final Research Report Summary
  • [Publications] M.Sakata: "Electron-Density Distribution from X-ray Powder Data by Use of Profile Fits and the Maximum-Entropy Method." J.Appl.Cryst.23. 526-534 (1990)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1992 Final Research Report Summary
  • [Publications] M.Sakata: "Electron Density Distribution of Ice In Obtained by the Maximum Entropy Method." Physics and Chemistry of Ice.62-68 (1992)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1992 Final Research Report Summary
  • [Publications] M.Sakata: "Electron Density in Rutile(TiO_2)by the Maximum Entropy Method." Acta Cryst.B48. 591-598 (1992)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1992 Final Research Report Summary
  • [Publications] 坂田 誠: "電子レベルでの結晶構造とマキシマム・エントロピー" 日本物理学会誌. 48. 79-86 (1993)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1992 Final Research Report Summary
  • [Publications] M.Sakata: "Accurate Structure Analysis by the Maximum Entropy Method." Acta Cryst. A46. 263-270 (1990)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1992 Final Research Report Summary
  • [Publications] M.Sakata: "Electron-Density distribution from X-ray Powder Data by Use of Profile Fits and the Maximum-Entropy Method." J.Appl. Cryst. 23. 526-534 (1990)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1992 Final Research Report Summary
  • [Publications] M.Sakata: "Electron Density Distribution of Ice In obtained by the Maximum Entropy Method." Physics and Chemistry of Ice.62-68 (1992)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1992 Final Research Report Summary
  • [Publications] M.Sakata: "Electron Density Distribution Obtained from X-ray Powder Data by the Maximum Entropy Method." Advance in X-Ray Analysis. 35. 77-83 (1992)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1992 Final Research Report Summary
  • [Publications] M.Sakata: "High Resolution X-Ray Powder Diffraction by the Combination of Synchrotron Radiation and Imaging Plate to Observe Electron Distribution by The Maximum Entropy Method." Advances in X-Ray Analysis. 35. 85-90 (1992)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1992 Final Research Report Summary
  • [Publications] M.Sakata: "Electron Density in Rutile(TiO_2) by the Maximum Entropy Method." Acta Cryst. B48. 591-598 (1992)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1992 Final Research Report Summary
  • [Publications] M.Sakata: "Maximum-Entropy-Method Analysis of Neutron Diffraction Data" J.Appl.Cryst. 26. (1993)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1992 Final Research Report Summary
  • [Publications] M.Takata: "The Electron Density Distribution in Be Metal Obtained from Synchrotron-Radiation Powder Data by the Maximum-Entropy Method." Z. Naturforsch. 48a. (1993)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1992 Final Research Report Summary
  • [Publications] S.Kumazawa: "MEED a Program Package for Electron Density Distribution Calculation by the Maximum Entropy Method." J.Appl.Cryst. 26. (1993)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1992 Final Research Report Summary
  • [Publications] M.Sakata: "The Structure of Crystalline Materials at Electron Level by the Maximum Entropy Method." Butsuri. 48. 79-86 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1992 Final Research Report Summary
  • [Publications] M.Sakata: "Electron Density Distribution Obtained from X-ray Powder Data by the Maximum Entropy Method." Advances in X-Ray Analysis.35. 77-83 (1992)

    • Related Report
      1992 Annual Research Report
  • [Publications] M.Sakata: "Electron Density Distribution of Ice Ih Obtained by the Maximum Entropy Method." Physics and Chemistry of Ice.62-68 (1992)

    • Related Report
      1992 Annual Research Report
  • [Publications] M.Sakata: "Electron Density in Rutile(TiO_2)by the Maximum Entropy Method." Acta Cryst.B48. 591-598 (1992)

    • Related Report
      1992 Annual Research Report
  • [Publications] M.Sakata: "Maximum-Entropy-Method Analysis of Neutron Diffraction Data" J.Appl.Cryst.26. (1993)

    • Related Report
      1992 Annual Research Report
  • [Publications] 坂田 誠: "粉末回折法による電子密度分布" 日本結晶学会誌. 34. 100-109 (1992)

    • Related Report
      1992 Annual Research Report
  • [Publications] 坂田 誠: "電子レベルでの結晶構造とマキシマム・エントロピー" 日本物理学会誌. 48. 79-86 (1993)

    • Related Report
      1992 Annual Research Report
  • [Publications] 坂田 誠,高田 昌樹: "物質の電子密度" 放射光. 4. 439-453 (1991)

    • Related Report
      1991 Annual Research Report
  • [Publications] 坂田 誠,高田 昌樹: "マキシマムエントロピ-法による電子密度分布" 日本結晶学会誌. 34. (1992)

    • Related Report
      1991 Annual Research Report
  • [Publications] M.Sakata,M.Takata,Y.Kubota T.Uno,S.Kumazawa & C.J.Howard: "Electron Density Distribution Obtained from Xーray Powder Data by the Maximum Entropy Method." Advances in Xーray Analysis. (1992)

    • Related Report
      1991 Annual Research Report
  • [Publications] M.Takata,M.Yamada,Y.Kubota & M.Sakata: "High Resolution Xーray Powder Diffraction by the Combination of Synchrotron Radiation and Imaging Plate to Observe Electron Distribution by the Maximum Entropy Method" Advances in Xーray Analysis. (1992)

    • Related Report
      1991 Annual Research Report
  • [Publications] M.Sakata,M.Takata,H.Oshizumi,A.Goto & T.Hondoh: "Electron density distribution of ice Ih obtained by the Maximum Eutropy Method." Proceedirgs of International Symposium on the Physics and Chemistry of Ice. (1992)

    • Related Report
      1991 Annual Research Report
  • [Publications] M.Takatu,Y.Kubota & M.Sakata: "The Electron Density Distribution of Be Metal Obtained from SR Powder Data by the Maximum Entropy Method." Z.Naturforsch.A.(1992)

    • Related Report
      1991 Annual Research Report
  • [Publications] M.Sakata,: "Electron Density in Rutile(TiO_2) Obtained by the Maximum Entripy Method" Acta Crystallographica B.

    • Related Report
      1990 Annual Research Report
  • [Publications] M.Sakata: "ElectronーDensity Distribution from Xーray Powder Data by use of Profile Fits and the MaximumーEntropy Method." Journal of Applied Crystallography. 23. 526-534 (1990)

    • Related Report
      1990 Annual Research Report
  • [Publications] 坂田 誠: "結晶構造解析への新しいアプロ-チ" 固体物理. 26. 31-35 (1991)

    • Related Report
      1990 Annual Research Report

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Published: 1990-04-01   Modified: 2016-04-21  

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