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Origin of Incommensurate Phase Transition and the New Viewpoint on the Phase Fluctuation

Research Project

Project/Area Number 11640311
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field 固体物性Ⅰ(光物性・半導体・誘電体)
Research InstitutionThe University of Electro-Communications

Principal Investigator

SHIGENARI Takeshi  The University of Electro-Communications, Faculty of Electro-Communications, Department of Applied Physics and Chemistry, Professor, 電気通信学部, 教授 (90017335)

Co-Investigator(Kenkyū-buntansha) DMITRIEV Sergey v.  The University of Electro-Communications, Faculty of Electro-Communications, Department of Applied Physics and Chemistry, Associated Professor, 電気通信学部, 助教授 (00334574)
ABE Kohji  The University of Electro-Communications, Faculty of Electro-Communications, Department of Applied Physics and Chemistry, Associated Professor, 電気通信学部, 助教授 (20183139)
DMITRIER S. V.  日本学術振興会, 外国人特別研究員
S. V. Dmitriev  電気通信大学, 電気通信学部, 外国人特別研究員(学術振興会)
Project Period (FY) 1999 – 2001
Project Status Completed (Fiscal Year 2001)
Budget Amount *help
¥3,700,000 (Direct Cost: ¥3,700,000)
Fiscal Year 2001: ¥800,000 (Direct Cost: ¥800,000)
Fiscal Year 2000: ¥900,000 (Direct Cost: ¥900,000)
Fiscal Year 1999: ¥2,000,000 (Direct Cost: ¥2,000,000)
KeywordsPHASE TRANSITION / INCOMMENSURATE PHASE / PHASE FLUCTUATION / RAMAN SCATTERING / MOLECULAR DYNAMICS / QUARTZ / Debye-Waller FACTOR / SiO2 / 水晶(SiO_2) / ラマンスペクトル / 位相ゆらぎ / SiO_2 / フォノン
Research Abstract

The aim of this project is to show that the effect of phase fluctuation plays the crucial role in appearance of incommensurate structure in crystals. We propose a new model to explain the origin of the incommensurate phase transition in quartz. In this model, the intensity of the satellite intensity observed in diffraction experiments is strongly attenuated due to the decrease of Debye-Waller factor, which is attributed to the phase fluctuation. In this research we have proved this model from the following method.
(1) From the detailed investigation of low frequency Raman spectrum in the high symmetry beta phase, the temperature dependence of the integrated intensity was found not to exactly follow the Curie-Weiss law ,but deviates from 30K above the incommensurate phase transition temperature. This is consistent with our model.
(2) The MD calculation was performed using Tsuneyuki potential. The result shows that the short period modulation is more likely to appear than long wave modulation in contrast to the currently accepted model.
(3) The characteristics of incommensurate structure in' dielectric crystals are explained by the rotational degree of freedom of certain group of atoms. The elastically hinged molecule (EHM) model was proposed. The dynamics of the transition is investigated by the computer simulation using the EHM model. The negative poison ratio and several non-linear soliton-like behavior of lattice were also investigated by this and similar models.

Report

(4 results)
  • 2001 Annual Research Report   Final Research Report Summary
  • 2000 Annual Research Report
  • 1999 Annual Research Report
  • Research Products

    (56 results)

All Other

All Publications (56 results)

  • [Publications] 重成 武: "SiO2(水晶)の謎を解く:不整合相の起源"固体物理. 35. 659-670 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] T.Shigenari, K.Abe, S.V.Dmitriev, M.Yajima, M.Nagamine, T.A.Aslanyan: "Raman spectra and the origin of the phase transitions in quartz"Ferroelectrics. 259. 103-108 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] S.V.Dmitriev, T.Shigenari, K.Abe: "Poisson Ratio Beyond the Limits of the Elasticity Theory"J. Phys. Soc. Jpn.. 70. 1431-1432 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] S.V.Dmitriev, H.Jimbo, K.Abe, T.Shigenari: "Periodic metastable structure in the discrete φ4 model"Phys. Rev. E. 64. 0362021-0362029 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] S.V.Dmitriev, T.Miyauchi, K.Abe, T.Shigenari: "Kink-breather solution in the weakly discrete Frenkel-Kontrova model"Phys. Rev. E. 61. 5880-5885 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] S.V.Dmitriev.M.Yajima, Y.Makita, D.Semagin, K.Abe, T.Shigenari: "Simulation of Modulated Structures in Quartz"J. Phys. Soc. Jpn.. 70. 428-436 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] S.V.Dmitriev, K.Abe, T.Shigenari: "Domain wall solutions for EHM model of Crystals structures with period multiple of four"Physica D. 240. 147-154 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] S.V.Dmitriev, M.Yajima, Y.Makita, K.Abe, T.Shigenari: "Simulation of Pressure Induced Phase Transition and Modulated Structure of Ouartz"Progr. Theor. Phys. Japan. 138. 243-244 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] T.Shigenari, S.V.Dmitriev, K.Abe, Y.Makita, M.Yajima, T.A.Aslanyan: "A New Interpretation of Incommensurate Phase of Quartz"Ferroelectrics. 147. 122-134 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] S.V.Dmitriev, H.Jimbo, K.Abe, T.Shigenari: "Periodic metastable structure in the discrete φ4 model"Phys. Rev. E. 64. 0362021-0362029 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] A.E.Moroshnichenko, S.V.Dmitriev, A.A.Vasiliev, T.Shigenari: "Inelastic three-soliton collisions in a weakly discrete sine-Gordon system"Nonlinearity. 13. 837-848 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] S.V.Dmitriev, 阿部 浩二, 重成 武: "弾性ヒンジ分子モデルによる不整合相転移のシミュレーション(最近の研究から)"日本物理学会誌. 55. 113-117 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] T.A.Aslanyan, T.Shigenari, K.Abe: "Reply to the comment on 'Inhomogenieties and birefringence in quartz'"J. Phys. : Condens. Matter. 11. 284-287 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] T.A.Aslanyan, T.Shigenari, K.Abe: "Comments on the characteristics of incommensurate modulation in quartz : discussion about a neutron scattering experiment"Acta Cryst.. A55. 65-69 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Y.Tsujimi, K.Sato, M.Kobayashi, S.Yoshioka, M.Kasahara, T.Yagi, T.Shigenari, K.Abe: "Nonlinear phonon-phonon interaction dynamics in alpha-quartz studied by time-resolved spectroscopy"J. Korean Phys. Soc.. 35. S139-S1395 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] T.A.Aslanyan, T.Shigenari, K.Abe: "Reply to the comment on 'Inhomogeneiies and birefringence in quartz'"J. Phys. Condens. Matter. 11. 284-287 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] S.V.Dmitriev, T.Shigenari, K.Abe, A.A.Vasiliev, A.E.Miroshnichenko: "Phonon emission from a discrete sine-Gordon breather"Computational Materials Science. 18. 303-308 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] S.V.Dmitriev, Y.S.Kivshar, T Shigenari: "Fractal Structures and multiparticle effects in soliton scattering"Phys. Rev. E. 64. 056613-056616 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] T. Shigenari, K. Abe, S.V. Dmitriev, M. Yajima, M. Nagamine and T.A. Aslanyan: "Raman spectra and the origin of the phase transitions in quartz"Ferroelectrics. 259. 103-108 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] S.V. Dmitriev, T. Shigenari, K. Abe: "Poisson Ratio Beyond the Limits of the Elasticity Theory"J. Phys. Soc. Jpn.. 70. 1431-1432 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] S.V. Dmitriev, H. Jimbo, K. Abe and T. Shigenari: "Periodic metastable structure in the discrete φ4 model"Phys. Rev. E. 64. 0362021-0362029 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] S.V. Dmitriev, T. Miyauchi, K. Abe and T. Shigenari: "Kink-breather solution in the weakly discrete Frenkel-Kontrova model"Phys. Rev. E. 61. 5880-5885 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] S.V. Dmitriev, M. Yajima, Y. Makita, D. Semagin, K. A be and T. Shigenari: "Simulation of Modulated Structures in Quartz"J. Phys. Soc. Jpn.. 70. 428-436 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] S.V. Dmitriev, K. Abe and T. Shigenari: "Domain wall solutions for EHM model of Crystals structures with period multiple of four"Physica D. 240. 147-154 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] S.V. Dmitriev, M. Yajima, Y. makita, K. Abe and T. Shigenari: "Simulation of Pressure Induced Phase Transition and Modulated Structure of Quartz"Progr. Theor. Phys. Japan. 138. 243-244 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] T. Shigenari, S.V. Dmitriev, K. Abe, Y. Makita, M. Yajima and T.A. Aslanyan: "A New Interpretation of Incommensurate Phase of Quartz"Ferroelectrics. 147. 122-134 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] S.V. Dmitriev, H. Jimbo, K. Abe and T. Shigenari: "Periodic metastable structure in the discrete φ4 model"Phys. Rev. E. 64. 0362021-0362029 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] A.E. Moroshinichenko, S.V. Dmitriev, A.A. Vasiliev and T. Shigenari: "Inelastic three-soliton collisions in a weakly ddiscrete sine-Gordon system"Nonlinearity. 13. 837-848 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] T.A. Aslanyan, T. Shigenari and K. Abe: "Reply to the comment on Inhomogenieties and briefringence in quartz"J. Phys. : Condens. Matter. 11. 284-287 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] T.A. Aslanyan, T. Shigenari and K. Abe: "Comments on the characteristics of incommensurate modulation in quartz : discussion about a neutron scattering experiment"Acta Cryst.. A55. 65-69 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Y. Tsujimi, K. Sato, M. Kobayashi, S. Yoshioka, M. Kasahara, T. Shigenari, and K. Abe: "Nonlinear phonon-phonon interaction dynamics in alpha-quartz studied by time-resolved spectroscopy"J. Korean Phys. Soc.. 35. S139-S1395 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] S.V. Dmitriev, T. Shigenari, K. Abe, A.A. Vasiliev and A.E. Miroshinichenko: "Phonon emission from a discrete sine-Gordon breather"Computational Materials Science. 18. 303-308 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] S.V. Dmitriev, Y.S. Kivshar and T. shigenari: "Fractal Structures and multiparticle effects in soliton scattering"Phys. Rev. E. 64. 056613-056616 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] 重成 武: "SiO2(水晶)の謎を解く:不整合相の起源"固体物理. 35. 659-670 (2000)

    • Related Report
      2001 Annual Research Report
  • [Publications] S.V.Dmitriev, T.Shigenari, K.Abe: "Poisson Ratio Beyond the Limits of the Elasticity Theory"J.Phys.Soc.Jpn.. 70. 1431-1432 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] S.V.Dmitriv, H.Jimbo, K.Abe, T.Shigenari: "Periodic metastable structurein the discrete φ4 model"Phys.Rev. E. 64. 0362021-0362029 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] S.V.Dmitriev, T.Miyauchi, K.Abe T.Shigenari: "Kink-breather solution in the weakly discrete Frenkel-Kontrova model"Phys. Rev. E. 61. 5880-5885 (2000)

    • Related Report
      2001 Annual Research Report
  • [Publications] S.V.Dmitriev. M.Yajima, Y.Makita, D.Semagin, K.Abe, T.Shigenari: "Simulation of Modulated Structures in Quartz"J. Phys.Soc.Jpn.. 70. 428-436 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] S.V.Dmitriev, K.Abe, T.Shigenari: "Domain wall solutions for EHM model of Crystals structures with period multiple of four"Physica D. 240. 147-154 (2000)

    • Related Report
      2001 Annual Research Report
  • [Publications] T.Shigenari, S.V.Dmitriev, K.Abe, Y.Makita, M.Yajima T.A.Aslanyan: "A New Interpretation of Incommensurate Phase of Quartz"Ferroelectrics. 147. 122-134 (2000)

    • Related Report
      2001 Annual Research Report
  • [Publications] A.E.Moroshnichenko, S.V.Dmitriev, A.A.Vasiiev T.Shigenari: "Inelastic three-soliton collisions in a weakly discrete sine-Gordon system"Nonlinearity. 13. 837-848 (2000)

    • Related Report
      2001 Annual Research Report
  • [Publications] S.V.Dmitriev, 阿部 浩二, 重成 武: "弾性ヒンジ分子モデルによる不整合相転移のシミュレーション (最近の研究から)"日本物理学会誌. 55. 113-117 (2000)

    • Related Report
      2001 Annual Research Report
  • [Publications] T.A.Aslanyan, T.Shigenari, K.Abe: "Reply to the comment on 'Inhomogenieties and birefringence in quartz'"J.Phys. : Condens.Matter. 11. 284-287 (1999)

    • Related Report
      2001 Annual Research Report
  • [Publications] T.A.Aslanyan, T.Shigenari K.Abe: "Comments on the characteristics of incommensurate modulation in quartz : discussion about a neutron scattering experiment"Acta Cryst.. A55. 65-69 (1999)

    • Related Report
      2001 Annual Research Report
  • [Publications] Y.Tsujimi, K.Sato, M.Kobayashi, S.Yoshioka, M.Kasahara, T.Yagi, T.Shigenari, K.Abe: "Nonlinear phonon-phonon interaction dynamics in alpha-quartz studied by time-resolved spectroscopy"J.Korean Phys.Soc.. 35. S139-S1395 (1999)

    • Related Report
      2001 Annual Research Report
  • [Publications] T.A.Aslanyan, T.Shigenari, K.Abe: "Reply to the comment on 'Inhomogeneiies and birefringence in quartz'"J.Phys. : Condens.Matter. 11. 284-287 (1999)

    • Related Report
      2001 Annual Research Report
  • [Publications] S.V.Dmitriev, T.Shigenari, K.Abe, A.A.Vasiliev, A.E.Miroshnichenko: "Phonon emission from a discrete sine-Gordon breather"Computational Materials Science. 18. 303-308 (2000)

    • Related Report
      2001 Annual Research Report
  • [Publications] S.V.Dmitriev.M.Yajima,Y.Makita,D,.Semagin,K.Abe and T.Shigenari: "Simulation of Pressure Induced Phase Transition and Modulated Structures of Quartz,"J.Phys.Soc.Jpn. 70. 428-436 (2001)

    • Related Report
      2000 Annual Research Report
  • [Publications] T.Shigenari,S.V.Dmitriev,K.Abe,Y.Makita,M,.Yajima and T.A.Aslanyan: "A New Interpretation of Incommensurate Phase of Quartz.."Ferroelectrics. 240. 147-154 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] 重成武: "SiO2(水晶)の迷を解く:不整合相の起源"固体物理. 35. 659-670 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] S.V.Dmitriev,M.Yajima,Y.Makita,K.Abe and T.Shigeanri: "Simulation of Pressure Induced Phase Transition and Modulated Structure of Quartz"Progr.Theor.Phys.Japan. 138. 243-244 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] S.V.Dmitriev, 阿部浩二,重成武: "弾性ヒンジ分子モデルによる不整合相転移のシミュレーション"日本物理学会誌(最近の研究から). 55. 113-114 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] T.Shigenari,S.V.Dmitriev,A.A.Vasiliev and K.Abe: "Domain Wall Solutions for EHM Model of Crystal"J. Phys. Soc. Jpn.. 68. 227-231 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] T.A.Aslanyan,T.Shigenari and K.Abe: "Comments on the characteristics of incommensurate modulation in quartz: discussion about a neutron scattering experiment"Acta Cryst.. A55. 65-69 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] T.Shigenari,S.V.Dmitriev,K.Abe,Y.Makita,M.Yajima and T.A.Aslanyan: "A New Interpretation of Incommensurate Phase of Quartz"Ferroelectrics. (Proc. of the 9th European Meeting on Ferroelectricty, July 1999, Praha). (In print). (2000)

    • Related Report
      1999 Annual Research Report
  • [Publications] T.A.Aslanyan,T.Shigenari and K.Abe: "Reply to the comment on 'Inhomogeneities and birefringence in quartz'"J. Phys: Condens. Matter. 11. 8175-8176 (1999)

    • Related Report
      1999 Annual Research Report

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Published: 1999-04-01   Modified: 2021-04-07  

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