The radiative recombination rates have been calculated for the first time in the wide band gap wurtzite semiconductors GaN, InN and A1N and their solid solutions GaxAl1–xN and lnx Al1–xN on the base of existing data on the energy band structure and optical absorption in these materials. We calculated the interband matrix elements for the direct optical transitions between the conductivity band and the valence one using the experimental photon energy dependence of the absorption coefficient near the band edge. In our calculations we assumed that the material parameters of the solid solutions (the interband matrix element, carrier effective masses and so on) could be obtained by a linear interpolation between their values in the alloy components. The temperature dependence of the energy gap was taken in the form proposed by Varshni. The calculations of the radiative recombination rates were performed in the wide range of temperature and alloy compositions.
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S. Strite, M.E. Lin and H. Morkoç: Thin Solid Films 231 (1993) 197.
S. Nakamura et al.: Jpn. J. Appl. Phys. 34 (1995) 1832; Appl. Phys. Lett. 67 (1995) 1866.
S. Yoshida, S. Misawa and S. Gonda: J. Appl. Phys. 53 (1982) 6844.
R. Dingle and D.D. Seu: Phys. Rev. B4 (1971) 1211.
R.B. Perry and R.F. Rutz: Appl. Phys. Lett. 33 (1978) 319.
S. Bloom and G. Hakbeke: Physica status solidi (b) 66 (1974) 161.
C.P. Foly and T.M. Tasley: J. Appl. Phys. 59 (1986) 3241.
D.J ones and A.H. Lettington: Solid State Commun. 11 (1972) 701.
A. Rubio, J.L. Corkill et al.: Phys. Rev. 48 (1993) 11810.
C.P. Foly and T.M. Tasley: Phys. Rev. 33 (1986) 1430.
M.Z. Huang and W.Y. Ching: J. Phys. Chem. Solids 46 (1985) 977.
Qixin Guo and A. Yoshida: Jpn. J. Appl. Phys. 33 (1994) 2453.
H. Tessiere, P. Perlin et al.: J. Appl. Phys. 76 (1994) 2429.
J.L. Biraian: Phys. Rev. 114 (1959) 1490.
J. Pastrnak and L. Roskova: Physica status solidi 26 (1968) 591.
S. Bloom: J. Phys. Chem. Solids 32 (1971) 2027.
Y.P. Varshni: Physica 34 (1967) 149.
W. van Roosbroeck and W. Shockley: Phys. Rev. 94 (1954) 1558.
P.T. Landsberg: Recombination in Semiconductors, Cambridge University Press, 1991.
H. Yamashita, K. Pukui, S. Misawa and S. Yoshida: J. Appl. Phys. 50 (1979) 896.
Y. Koide, H. Itoh et al.: J. Appl. Phys. 21 (1987) 4540.
J.C. Phillips: Bonds and Bands in Semiconductors, Academic, New York, 1973.
The work was supported in part by Russian Foundation for Fundamental Research and by the International Science Foundation.
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Dmitriev, A., Oruzheinikov, A. Radiative Recombination Rates in GaN, InN, AIN and their Solid Solutions. MRS Online Proceedings Library 423, 69–73 (1996). https://doi.org/10.1557/PROC-423-69