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THERMAL STRESS ESTIMATION FOR LARGE DIAMETER SILICON SINGLE CRYSTAL USING MATERIAL PROPERTIES OBTAINED FROM MOLECULAR DYNAMICS METHOD

Research Project

Project/Area Number 08455064
Research Category

Grant-in-Aid for Scientific Research (B)

Allocation TypeSingle-year Grants
Section一般
Research Field Materials/Mechanics of materials
Research InstitutionKYUSHU UNIVERSITY

Principal Investigator

MIYAZAKI Noriyuki  KYUSHU UNIVERSITY,DEPARTMENT OF MATERIALS SCIENCE AND ENGINEERING,PROFESSOR, 工学部, 教授 (10166150)

Co-Investigator(Kenkyū-buntansha) IKEDA Toru  KYUSHU UNIVERSITY,DEPARTMENT OF MATERIALS SCIENCE AND ENGINEERING,ASSOCIATE PROF, 工学部, 助教授 (40243894)
Project Period (FY) 1996 – 1997
Project Status Completed (Fiscal Year 1997)
Budget Amount *help
¥6,000,000 (Direct Cost: ¥6,000,000)
Fiscal Year 1997: ¥2,000,000 (Direct Cost: ¥2,000,000)
Fiscal Year 1996: ¥4,000,000 (Direct Cost: ¥4,000,000)
KeywordsSILICON SINGLE CRYSTAL / CZOCHRALSKI METHOD / DISLOCATION DENSITY / THERMAL STRESS / MOLECULAR DYNAMICS METHOD / FINITE ELEMENT METHOD / HAASEN-SUMINO MODEL / CRITICAL RESOLVED SHEAR STRESS / シリコン / 半導体 / 物性値
Research Abstract

The following are results of the present research.
(1) A molecular dynamics code was developed to calculate thermal expansion coefficient and elastic constants of single crystals. These values for alpha-Fe were successfully obtained up to intermediate temperatures using the molecular dynamics code. At elevated temperatures, stable solutions cannot be obtained, because thermal oscillation becomes large with temperature increase. To obtain thermal expansion coefficient and elastic constants at the elevated temperatures such as the melting point remains unsolved as a future problem.
(2) A computer code was developed for simulations of dislocation density in semiconductor bulk crystals during growth process. The Haasen-Sumino model was used as a constitutive equation for single crystals at elevated temperatures. Dislocation density simulations were perfomed using this computer code for Si, GaAs and InP to show the effectiveness of the computer code. The results indicate W-type dislocation density distributions across the diameter in GaAs and InP single crvstals that can be observed in practical Czochralski (CZ) growth of GaAs and InP.This computer code can be used as a powerful tool for research and development of high quality bulk single crystal.
(3) The Young's modulus of Si single crystal near the melting point was estimated in accordance with the fact that dislocation-free bulk single crystals with 8-inch diameter are produced commonly by meana of the practical CZ growth. When the Young's modulus obtained from the experimental relation between the critical resolved shear stress and the corresponding strain for Si single crystal was used in the dislocation density simulation of a 8-inch diameter Si single crystal, dislocation-free single crystal was obtained as a result.Therefore, the use of this Young's modulus is recommended for dislocation density simulations for large diameter CZ silicon crystals such as 16-inch diameter crystals.

Report

(3 results)
  • 1997 Annual Research Report   Final Research Report Summary
  • 1996 Annual Research Report
  • Research Products

    (14 results)

All Other

All Publications (14 results)

  • [Publications] N.MlYAZAKI: "Calculation of Mechanical Properties of Solids Using Molecular Dynamics Method" JSME International Journal. Vol.39 No.4. 606-612 (1996)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] 宮崎 則幸: "半導体バルク単結晶CZ育成過程における転位密度評価" 日本機械学会論文集(A編). 63巻607号. 636-642 (1997)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] N.MlYAZAKI: "Development of Finite Element Computer Program for Dislocation Density Analysis of Bulk Semiconductor Single Crystals during Czochralski Growth" Journal of Crystal Growth. Vol.183 Nos.1/2. 81-88 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] N.MlYAZAKI: "Dislocation Density Simulation for Bulk Single Crystal Growth Process" Met als and Materialsに掲載予定. (未定). (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] N.MIYAZAKI and Y.SHIOZAKI: "Calculation of Mechanical Properties of Solids Using Molecular Dynamics Method." JSME International Journal. Vol.36-No.4. 606-612 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] N.MIYAZAKI and S.OKUYAMA: "Dislocation Density Analyzes of Bulk Semiconductor Single Crystals during Czochralski Growth." Transactions of the Japan Society of Mechanical Engineers (Series A). Vol.63-No.607. 636-642 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] N.MIYAZAKI and S.OKUYAMA: "Development of Finite Element Computer Program for Dislocation Density Analysis of Bulk Semiconductor Single Crystals during Czochralski Growth." Journal of Crystal Growth. Vol.183-Nos.1/2. 81-88 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] N.MIYAZAKI and Y.KURODA: "Dislocation Density Simulation for Bulk Single Crystal Growth Process." To be presented at the 4th Asia-Pacific Symposium on Advances in Engineering Plasticity and its Applications to be held in June, 1998 as an invited lecture and to appear in Metals and Materials.

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] N.MIYAZAKI: "Calculation of Mechanical Properties of Solids Using Molecular Dynamics Method" JSME International Journal. Vol.39 No.4. 606-612 (1996)

    • Related Report
      1997 Annual Research Report
  • [Publications] 宮崎則幸: "半導体バルク単結晶CZ育成過程における転位密度評価" 日本機械学会論文集(A編). 63巻 607号. 636-642 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] N.MIYAZAKI: "Development of Finite Element Computer Program for Dislocation Density Analysis of Bulk Semiconductor Single Crystals during Czochralski Growth" Journal of Crystal Growth. Vol.183 Nos.1/2. 81-88 (1998)

    • Related Report
      1997 Annual Research Report
  • [Publications] N.MIYAZAKI: "Dislocation Density Simulation for Bulk Single Crystal Growth Process" Metals and Materials. (掲載予定). (1998)

    • Related Report
      1997 Annual Research Report
  • [Publications] N.MIYAZAKI: "Calculation of Mechanical Properties of Solid Using Molecular Dynamics Method" JSME International Journal. 39・4. 606-612 (1996)

    • Related Report
      1996 Annual Research Report
  • [Publications] 宮崎則幸: "半導体バルク単結晶CZ育成過程における転位密度評価" 日本機械学会論文集・A編. 63・607. (1997)

    • Related Report
      1996 Annual Research Report

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Published: 1996-04-01   Modified: 2016-04-21  

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