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Prog. Theor. Phys. Vol. 58 No. 4 (1977) pp. 1102-1113

[ Full Text PDF : FREE ACCESS (890K) ]

Theory of Anharmonic Lattice Vibration in Metallic Fine Particles. I

Takeo Matsubara, Yūjirō Iwase* and Akitaka Momokita*

Department of Physics, Kyoto University, Kyoto 606
and
*Department of Material Physics, Faculty of Engineering Science, Osaka University, Toyonaka 560

(Received April 11, 1977)

Abstract:

We apply the self-consistent Einstein model to the theory of anharmonic lattice vibration in metallic fine particles, and discuss the size dependence of the melting and superconducting transition temperatures in the connection to the softening of the surface lattice vibrations. Assuming a simple interatomic potential and certain distribution of the particle size, we express both transition temperatures as functions of the average radius of fine particles and show that the numerical results calculated from the theoretical expressions are in fairly good accord with the experiments.


URL : http://ptp.ipap.jp/link?PTP/58/1102/
DOI : 10.1143/PTP.58.1102

[ Full Text PDF : FREE ACCESS (890K) ] Citation:

References:

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Citing Article(s) :

  1. Journal of the Physical Society of Japan 59 (1990) pp. 4366-4375 :
    Microscopic Calculation for Thermal Properties of Ionic Crystals
    Shinji Nambu and Masaki Oiji
  2. Journal of the Physical Society of Japan 61 (1992) pp. 2260-2268 :
    A Unified Approach to Nonequilibrium Phenomena in a Crystalline Lattice. I. Formulation
    Masaru Sugiyama
  3. Progress of Theoretical Physics Vol. 59 No. 1 (1978) pp. 15-22 :
    Theory of Anharmonic Lattice Vibration in Metallic Fine Particles. II
    Eiko Matsushita and Takeo Matsubara
  4. Progress of Theoretical Physics Vol. 59 No. 5 (1978) pp. 1407-1417 :
    Self-Consistent Einstein Model and Theory of Anharmonic Surface Vibration. II
    Toshio Hama and Takeo Matsubara
  5. Progress of Theoretical Physics Vol. 60 No. 2 (1978) pp. 327-337 :
    Note on Frequency Spectrum of Crystalline Fine Particles
    Eiko Matsushita and Takeo Matsubara
  6. Progress of Theoretical Physics Vol. 60 No. 5 (1978) pp. 1604-1605 :
    Note on the Penetration of Surface Vibration and the Melting Based on the Self-Consistent Einstein Model
    Shigeo Naya, Masaharu Iziri and Tetsuo Ishii
  7. Progress of Theoretical Physics Vol. 61 No. 4 (1979) pp. 1266-1268 :
    Comments on the Melting and the Size Dependence of Melting Temperature in Metallic Fine Particles
    Masaharu Iziri and Shigeo Naya
  8. Progress of Theoretical Physics Vol. 64 No. 6 (1980) pp. 1945-1958 :
    The Effect of External Force on Surface Stability by the Self-Consistent Einstein Model
    Masaru Sugiyama and Hiroshi Okamoto
  9. Progress of Theoretical Physics Vol. 68 No. 2 (1982) pp. 349-362 :
    Coninuum Approximation of the Self-Consistent Einstein Model under an External Force
    Masaru Sugiyama
  10. Progress of Theoretical Physics Vol. 69 No. 4 (1983) pp. 1074-1084 :
    A Simplified Theory of Melting for Lennard-Jones and Ionic Crystals Based on the Self-Consistent Einstein Model
    Tetsuo Ishii, Shigeo Naya and Satoshi Tanaka

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