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Volumn 59, Issue 15, 1999, Pages 10105-10110

Analysis of the effect of isotope scattering on the thermal conductivity of crystalline silicon

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EID: 0000738396     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.59.10105     Document Type: Article
Times cited : (27)

References (36)
  • 3
    • 0004190516 scopus 로고
    • Clarendon, Oxford, For reviews of this work see
    • For reviews of this work see J M. Ziman, Electrons and Phonons (Clarendon, Oxford, 1960).
    • (1960) Electrons and Phonons
    • Ziman, J.M.1
  • 22
    • 85037878943 scopus 로고    scopus 로고
    • Note that in this experiment only one sample of isotopically purified silicon was measured. The conductivity of this sample could be influenced by defects, and so one has to regard the measured conductivity as a lower bound on the conductivity of an ideal crystal
    • Note that in this experiment only one sample of isotopically purified silicon was measured. The conductivity of this sample could be influenced by defects, and so one has to regard the measured conductivity as a lower bound on the conductivity of an ideal crystal.
  • 27
    • 0019670695 scopus 로고
    • Klemens [Int. J. Thermophys.2, 323 (1981)]
    • (1981) Int. J. Thermophys. , vol.2 , pp. 323
  • 29
    • 0000586648 scopus 로고    scopus 로고
    • have performed a detailed numerical calculation of the thermal conductivity of silicon. In their calculation, a realistic model is used for the phonon dispersion, and the Boltzmann equation is solved numerically. Very good agreement is obtained with experimental data for silicon with a natural isotopic abundance. However, the calculation predicts an enhancement of the conductivity in pure silicon, which is much smaller than is observed experimentally (see Ref. At 100 K, for example, the theoretical value for the increase in an isotopically pure sample is around 15%, whereas experiment gives a 250% enhancement. We do not know the reason for this discrepancy
    • M. Omini and A. Sparavigna [Nuovo Cimento D19, 1537 (1997)] have performed a detailed numerical calculation of the thermal conductivity of silicon. In their calculation, a realistic model is used for the phonon dispersion, and the Boltzmann equation is solved numerically. Very good agreement is obtained with experimental data for silicon with a natural isotopic abundance. However, the calculation predicts an enhancement of the conductivity in pure silicon, which is much smaller than is observed experimentally (see Ref. 13). At 100 K, for example, the theoretical value for the increase in an isotopically pure sample is around 15%, whereas experiment gives a 250% enhancement. We do not know the reason for this discrepancy.
    • (1997) Nuovo Cimento D , vol.19 , pp. 1537
    • Omini, M.1    Sparavigna, A.2
  • 32
    • 85037874984 scopus 로고    scopus 로고
    • G. Leibfried in, edited by S. Flügge (Springer, Berlin, 1955), 7, Pt. 1, p. 309
    • G. Leibfried in Encyclopaedia of Physics, edited by S. Flügge (Springer, Berlin, 1955), Vol. 7, Pt. 1, p. 309.
  • 36
    • 85037920876 scopus 로고    scopus 로고
    • In making the comparison between curves D and E we are interested in the effect of a different weighting of the acoustic modes. This is why we have set the optic-mode contribution at zero
    • In making the comparison between curves D and E we are interested in the effect of a different weighting of the acoustic modes. This is why we have set the optic-mode contribution at zero.


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