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Measurements of the X-ray Pendell sung Beats from Elastically Bent Crystals

Research Project

Project/Area Number 62460224
Research Category

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

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

Principal Investigator

TAKAMA Toshihiko  Fac. of Engineering, Hokkaido University, 工学部, 助教授 (40001309)

Co-Investigator(Kenkyū-buntansha) MARUKAWA Kenzaburo  Fac. of Engineering, Hokkaido University, 工学部, 教授 (20001191)
SATO Shin'ichi  Fac. of Engineering, Hokkaido University, 工学部, 教授 (80001121)
Project Period (FY) 1987 – 1988
Project Status Completed (Fiscal Year 1988)
Budget Amount *help
¥7,500,000 (Direct Cost: ¥7,500,000)
Fiscal Year 1988: ¥2,000,000 (Direct Cost: ¥2,000,000)
Fiscal Year 1987: ¥5,500,000 (Direct Cost: ¥5,500,000)
KeywordsDynamical Diffraction / Uniformly Bent Crystal / White X-ray / Pendell sung Beat / Perfect Crystal / シリコン / ラウエケース / 動力学的回折現象 / 曲げ変形
Research Abstract

The present authors have proposed a new technique of measuring the Pendellosung beat on the wavelength scale by using white X-ray radiation and parallel-sided perfect crystals (T. Takama, M. Iwasaki and S. Sato, Acta Cryst. A36(1980) 1025). In the present work, an attempt is made to study the effect of uniform elastic strain on the pendellosung phenomenon using the above technique.
Isosceles triangular shaped single crystals were cut from dislocation free FZ silicon ingot. Two kinds of wafers with different surface orientations were prepared to investigate the influence of elastic anisotropy. Uniform bending was introduced by pushing slightly the apex of the triangular wafer with fixed base perpendicular to the surface by a differential micrometer screw. A measurement of surface curvature revealed that the specimen was bent uniformly.
AS the curvature of specimen increased, the following changes were observed in the Pendellosung beat for all the reflections on the asymmetrical Laue case: (1) The reflected intensity increases especially in the short wavelength range. (2) The extremum positions move to the shorter wavelength side. (3) The amplitude of intensity beats decreases and finally the beats smear out. The phenomena depended on the magnitude of the curvature, the wavelength of X-rays, the sign and index of the reflection plane as well as the orientation of the specimen . However, no change was observed for the 220 reflection of the specimen having the [001] surface orientation on the symmetrical Laue case. The experimental results were well interpreted in terms of the dynamical diffraction theory with a constant strain gradient by Kato (J.Pphys. Soc. Japan 19(1964) 971) when taken into account of anisotropic elasticity of silicon.

Report

(3 results)
  • 1988 Annual Research Report   Final Research Report Summary
  • 1987 Annual Research Report
  • Research Products

    (34 results)

All Other

All Publications (34 results)

  • [Publications] 高間俊彦: 北海道大学高エネルギー超強力X線回折室年報. 4. 1-4 (1987)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1988 Final Research Report Summary
  • [Publications] 金子元三: 北海道大学高エネルギー超強力X線回折室年報. 4. 13-16 (1987)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1988 Final Research Report Summary
  • [Publications] 小林一介: 北海道大学高エネルギー超強力X線回折室年報. 4. 28-30 (1987)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1988 Final Research Report Summary
  • [Publications] 高間俊彦: 日本結晶学会誌. 29. 398-405 (1987)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1988 Final Research Report Summary
  • [Publications] 高間俊彦: The RigakuーDenki Journal. 18. 2-6 (1987)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1988 Final Research Report Summary
  • [Publications] K.Kobayashi: Acta Cryst.A34. C218-C218 (1987)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1988 Final Research Report Summary
  • [Publications] T.Takama: Acta Cryst.A34. C218-C218 (1987)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1988 Final Research Report Summary
  • [Publications] 丸川健三郎: 北海道大学高エネルギー超強力X線回折室年報. 5. 7-11 (1988)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1988 Final Research Report Summary
  • [Publications] 和泉義信: 北海道大学高エネルギー超強力X線回折室年報. 5. 22-25 (1988)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1988 Final Research Report Summary
  • [Publications] K.Kobayashi: Jpn.J.Appl.Phys.27. 1377-1380 (1988)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1988 Final Research Report Summary
  • [Publications] K.Kobayashi: Jpn.J.Appl.Phys. 27. 1793-1797 (1988)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1988 Final Research Report Summary
  • [Publications] T.Takama: Aust.J.Phys.41. 433-448 (1988)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1988 Final Research Report Summary
  • [Publications] T.Takama: In Preparation for publication.

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1988 Final Research Report Summary
  • [Publications] T.Takama: Submitted to Acta Cryst.A.

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1988 Final Research Report Summary
  • [Publications] Toshihiko Takama: "Dynamical Diffraction of Uniformly Bent Si Crystal" Ann. Rep. of the High Brilliance X-ray Laboratory, Hokkaido Univ.4. 1-4 (1987)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1988 Final Research Report Summary
  • [Publications] Motozo Kaneko: "Studies on the mechanism for the specific adsorption of metal ions by chitin derivatives" Ann. Rep. of the High Brilliance X-ray Laboratory, Hokkaido Univ.4. 13-16 (1987)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1988 Final Research Report Summary
  • [Publications] Kazuyoshi Kobayashi: "Measurement of Structure Factors of -Quartz" Ann. Rep. of the High Brilliance X-ray Laboratory, Hokkaido Univ.4. 28-30 (1987)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1988 Final Research Report Summary
  • [Publications] Toshihiko Takama: "Structure Factor Determination by the Pendell sung-Beats Measurement Using White Radiation" J. Crystallogr. Soc. Japan. 29. 398-405 (1987)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1988 Final Research Report Summary
  • [Publications] Toshihiko Takama: "Measurements of the X-ray Pendell sung Beats from Elastically Bent Si Single Crystal" The Rigaku-denki Journal. 18. 2-6 (1987)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1988 Final Research Report Summary
  • [Publications] Kazuyoshi Kobayashi: "Accurate Determination of the Structure Factors of Alpha-Quartz" Acta Cryst.A34. 218-218 (1987)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1988 Final Research Report Summary
  • [Publications] Toshihiko Takama: "Measurements of the X-ray Pendell sung Beats from Elastically Bent Single Crystals" Acta Cryst.A34. 218-218 (1987)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1988 Final Research Report Summary
  • [Publications] Kenzaburo Marukawa: "Observation of the deformation structure in a metal single crystal by multi-reflection topographic method" Ann. Rep. of the High Brilliance X-ray Laboratory, Hokkaido Univ.5. 7-11 (1988)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1988 Final Research Report Summary
  • [Publications] Yoshinobu Izumi: "EXAFS studies on the mechanism for the specific adsorption of metal ions by chitin derivatives" Ann. Rep. of the High Brilliance X-ray Laboratory, Hokkaido Univ.5. 22-25 (1988)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1988 Final Research Report Summary
  • [Publications] Kazuyoshi Kobayashi: "Determination of the Structure Factors of GaAs by the Pendell sung Beat Measurement Using White Radiation" Jpn. J. Appl. Phys.27. 1377-1380 (1988)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1988 Final Research Report Summary
  • [Publications] Kazuyoshi Kobayashi: "Structure Factors of InP Determined by the Pendell sung Method Using White Radiation" Jpn. J. Appl. Phys.27. 1793-1797 (1988)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1988 Final Research Report Summary
  • [Publications] 丸川健三郎: 北海道大学高エネルギー超強力X線回折室年報. 5. 7-11 (1988)

    • Related Report
      1988 Annual Research Report
  • [Publications] K.Kobayashi: Jpn.J.Appl.Phys.27. 1377-1380 (1988)

    • Related Report
      1988 Annual Research Report
  • [Publications] K.Kobayashi: Jpn.J.Appl.Phys.27. 1793-1797 (1988)

    • Related Report
      1988 Annual Research Report
  • [Publications] T.Takama: Aust.J.Phys.41. 433-448 (1988)

    • Related Report
      1988 Annual Research Report
  • [Publications] T.Takama: In Preparation for publication.

    • Related Report
      1988 Annual Research Report
  • [Publications] T.Takama: Submitted to Acta Cryst.A.

    • Related Report
      1988 Annual Research Report
  • [Publications] 高間俊彦: 北海道大学高エネルギー超強力X線回折室年報. 4. 1-4 (1987)

    • Related Report
      1987 Annual Research Report
  • [Publications] 高間俊彦: 理学電機ジャーナル. 18. 2-6 (1987)

    • Related Report
      1987 Annual Research Report
  • [Publications] 高間俊彦: 日本結晶学会誌. 29. 398-405 (1987)

    • Related Report
      1987 Annual Research Report

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Published: 1987-04-01   Modified: 2016-04-21  

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