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Extrapolation of critical thickness of GaN thin films from lattice constant data using synchrotron X-ray

Published online by Cambridge University Press:  15 February 2011

Chinkyo Kim
Affiliation:
Department of Physics, University of Illinois at Urbana-Champaign, 1110 W.Green St., Urbana, IL 61801
I. K. Robinson
Affiliation:
Department of Physics, University of Illinois at Urbana-Champaign, 1110 W.Green St., Urbana, IL 61801
Jaemin Myoung
Affiliation:
Department of Material Sciences and Engeering, University of Illinois at Urbana-Champaign
Kyuhwan Shim
Affiliation:
Department of Material Sciences and Engeering, University of Illinois at Urbana-Champaign
Kyekyoon Kim
Affiliation:
Department of Electrical and Computer Engineering, University of Illinois at Urbana-Champaign, 1406 W.Green St., Urbana, IL 61801, [email protected]
Myung-Cheol Yoo
Affiliation:
Samsung Advanced Institute of Technology, Suwon, Korea
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Abstract

In some materials, Van der Merwe's equilibrium theory of strain relief is believed to explain the sudden transition from pseudomorphic growth of a thin film to a progressively relaxed state. We show, for the first time for GaN, how an accurate estimate of the critical thickness of a thin film can be extrapolated from suitable measurements of lattice constants as a function of film thickness using synchrotron X-ray. We do this both for an elementary elastic energy function, in which the interactions between the dislocations are ignored, and for a more realistic energy estimate due to Kasper. The method is found to work quantitatively for thin films of GaN on AIN. The critical thickness is determined to be 29 ± 4 Å.

Type
Research Article
Copyright
Copyright © Materials Research Society 1996

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References

1 Osbourn, G. C., IEEE J. Quantum Electron. QE-22, 1677 (1986)Google Scholar
2 Jain, C., Willis, J. R., and Bullough, R., Adv. in Physics 39, 127 (1990)Google Scholar
3 Kim, C., Robinson, I. K., Myoung, J., Shim, K., Kim, K., Yoo, M., to be publishedGoogle Scholar
4 Amano, H., Hiramatsu, K. and Akasaki, I., Jpn. J. Appl. Phys. 27, L1384 (1988)Google Scholar
5 Powell, R. C., Lee, N. -E., Kim, Y. -W., and Greene, J. E., J. Appl. Phys. 73, 189 (1993)Google Scholar
6 Kung, P., Sun, C. J., Saxler, A., Ohsato, H., and Razeghi, M., J. Appl. Phys. 75, 4515 (1994)Google Scholar
7 Morkoc, H., Strite, S., Gao, G. B., Lin, M. E., Sverdlov, B., and Burns, M., J. Appl. Phys. 76, 1363 (1994)Google Scholar
8 van der Merwe, J. H., Surf. Sci. 31, 198 (1972)Google Scholar
9 Kasper, E. and Herzog, H. -J., Thin Solid Films 44, 357 (1977); E. Kasper, Surf. Sci. 174, 630 (1986)Google Scholar
10 Fischer, A., Kuhne, H., and Richter, H., Phys.Rev. Lett. 73, 2712 (1994)Google Scholar