Abstract
The temperature dependences of thermal conductivity κ of polycrystalline CVD diamond are measured in the temperature range from 5 to 410 K. The diamond sample is annealed at temperatures sequentially increasing from 1550 to 1690°C to modify the properties of the intercrystallite contacts in it. As a result of annealing, the thermal conductivity decreases strongly at temperatures below 45 K, and its temperature dependence changes from approximately quadratic to cubic. At T > 45 K, the thermal conductivity remains almost unchanged upon annealing at temperatures up to 1650°C and decreases substantially at higher annealing temperatures. The experimental data are analyzed in terms of the Callaway theory of thermal conductivity [9], which takes into account the specific role of normal phonon-phonon scattering processes. The thermal conductivity is calculated with allowance for three-phonon scattering processes, the diffuse scattering by sample boundaries, the scattering by point and extended defects, the specular scattering by crystallite boundaries, and the scattering by intercrystallite contacts. A model that reproduces the main specific features of the thermal conductivity of CVD diamond is proposed. The phonon scattering by intercrystallite contacts plays a key role in this model.
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References
J. E. Graebner, S. Jin, G. W. Kammlott, et al., Nature (London) 359, 401 (1992).
J. E. Graebner, M. E. Reiss, L. Seibles, et al., Phys. Rev. B: Condens. Matter 50, 3702 (1994).
J. E. Graebner, J. A. Mucha, and F. A. Baiocchi, Diamond Relat. Mater. 5, 682 (1996).
D. J. Twitchen, C. S. J. Pickles, S. E. Coe, et al., Diamond Relat. Matter. 10, 731 (2001).
V. I. Nepsha, N. F. Reshetnikov, Yu. A. Klyuev, et al., Dokl. Akad. Nauk SSSR 283(1–3), 374 (1985) [Sov. Phys. Dokl. 30 (7), 547 (1985)].
D. T. Morelli, C. P. Beets, and T. A. Perry, J. Appl. Phys. 64, 3063 (1988).
D. T. Morelli, T. M. Hartnett, and C. J. Robinson, Appl. Phys. Lett. 59, 2112 (1991).
D. T. Morelli, C. Uher, and C. J. Robinson, Appl. Phys. Lett. 62, 1085 (1993).
J. Callaway, Phys. Rev. 113, 1046 (1959).
T. R. Anthony, W. F. Banholzer, J. F. Fleischer, et al., Phys. Rev. B: Condens. Matter 42, 1104 (1990).
L. Wei, P. K. Kuo, R. L. Thomas, et al., Phys. Rev. Lett. 70, 3764 (1993).
V. I. Nepsha, V. R. Grinberg, Yu. A. Klyuev, et al., Dokl. Akad. Nauk SSSR 317, 96 (1991) [Sov. Phys. Dokl. 36 (3), 228 (1991)].
R. Berman, Phys. Rev. B: Condens. Matter 45, 5726 (1992).
R. Berman, J. Phys. Chem. Solids 59, 1229 (1998).
V. I. Nepsha, V. R. Grinberg, A. M. Naletov, et al., Sverkhtverd. Mater., No. 6, 21 (1990).
V. I. Nepsha, V. R. Grinberg, Y. A. Klyuev, et al., Surf. Coat. Technol. 47, 388 (1991).
J. E. Graebner and J. A. Herb, Diamond Films Technol. 1, 155 (1992).
S. Barman and G. P. Srivastava, Phys. Rev. B: Condens. Matter 73, 073301 (2006).
J. E. Graebner, S. Jin, J. A. Herb, and C. F. Gardinier, J. Appl. Phys. 76, 1552 (1994).
P. G. Klemens, Int. J. Thermophys. 15, 1345 (1994).
A. V. Khomich, V. G. Ralchenko, A. V. Vlasov, et al., Diamond Relat. Mater. 10, 546 (2001).
L. Nistor, V. Ralchenko, I. Vlasov, et al., Phys. Status Solidi A 186, 207 (2001).
V. Ralchenko, L. Nistor, E. Pleuler, et al., Diamond Relat. Mater. 12, 1964 (2003).
D. F. Talbot-Ponsonby, M. E. Newton, J. M. Baker, et al., Phys. Rev. B: Condens. Matter 57, 2302 (1998).
S. V. Nistor, M. Stefan, V. Ralchenko, et al., J. Appl. Phys. 87, 8741 (2000).
P. G. Klemens, Proc. Phys. Soc., London, Sect. A 68, 1113 (1955).
A. K. McCurdy, H. J. Maris, and C. Elbaum, Phys. Rev. B: Condens. Matter 2, 4077 (1970).
A. K. McCurdy, Phys. Rev. B: Condens. Matter 26, 6971 (1982).
J. W. Schwartz and C. T. Walker, Phys. Rev. 155, 969 (1967).
R. Berman, E. L. Foster, and J. M. Ziman, Proc. R. Soc. London, Ser. A 231, 130 (1955).
J. M. Ziman, Electrons and Phonons (Oxford University Press, Oxford, 1960; Inostrannaya Literatura, Moscow, 1962).
S. B. Soffer, J. Appl. Phys. 38, 1710 (1967).
R. Berman, F. E. Simon, and J. M. Ziman, Proc. R. Soc. London, Ser. A 220, 171 (1953).
H. Holloway, K. C. Hass, M. A. Tamor, et al., Phys. Rev. B: Condens. Matter 44, 7123 (1991).
A. R. Lang and G. Pang, Philos. Trans. R. Soc. London, Ser. A 356, 1397 (1998).
R. Vogelgesang, A. K. Ramdas, S. Rodriguez, et al., Phys. Rev. B: Condens. Matter 54, 3989 (1996).
E. S. Zouboulis, M. Grimsditch, A. K. Ramdas, and S. Rodriguez, Phys. Rev. B: Condens. Matter 57, 2889 (1998).
J. Hartmann, M. Costello, and M. Reichling, Phys. Rev. Lett. 80, 117 (1998).
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Original Russian Text © A.V. Inyushkin, A.N. Taldenkov, V.G. Ral’chenko, V.I. Konov, A.V. Khomich, R.A. Khmel’nitskiĭ, 2008, published in Zhurnal Éksperimental’noĭ i Teoreticheskoĭ Fiziki, 2008, Vol. 134, No. 3, pp. 544–556.
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Inyushkin, A.V., Taldenkov, A.N., Ral’chenko, V.G. et al. Thermal conductivity of polycrystalline CVD diamond: Experiment and theory. J. Exp. Theor. Phys. 107, 462–472 (2008). https://doi.org/10.1134/S1063776108090136
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DOI: https://doi.org/10.1134/S1063776108090136