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Ley, S. A. Pollak, D. Shirley: Phys. Rev. Lett. 29, 1088 (1972) 16. R. Chelikowsky, N. Binggeli: Comput. Mater. Sci. 2, 111 (1994) 17. W. Yang, P. Coppens: Solid State Commun. 15, 1555 (1974) 18. E. Pickett: Comput. Phys. Rep. 9, 115 (1989) 19. R. Chelikowsky: J. Phys. D 33, R33 (2000) 20. P. Hohenberg, W. Kohn: Phys. Rev. 136, B864 (1964) 21. W. Kohn, L. Sham: Phys. Rev. 140, A1133 (1965) 22. M. R. G. L. Cohen: Phys. Rev. B 12, 4200 (1975) 23. R. G. ): Quantum Theory of Real Materials (Kluwer Academic, Boston 1996) 24.

This change in gap size occurs because of quantum confinement. The measurements are from Furukaea and Miyasato, [32] 1 Introduction: Silicon in All Its Forms 19 One more application: optical excitations in finite systems. These systems arc of great interest because the size of the cluster can be used to tune the optical properties of the system. I mentioned earlier in this presentation that the density functional theory was good for ground-state properties. However, some aspects of silicon do not lend themselves to ground-state properties.

Binggeli: Comput. Mater. Sci. 2, 111 (1994) 17. W. Yang, P. Coppens: Solid State Commun. 15, 1555 (1974) 18. E. Pickett: Comput. Phys. Rep. 9, 115 (1989) 19. R. Chelikowsky: J. Phys. D 33, R33 (2000) 20. P. Hohenberg, W. Kohn: Phys. Rev. 136, B864 (1964) 21. W. Kohn, L. Sham: Phys. Rev. 140, A1133 (1965) 22. M. R. G. L. Cohen: Phys. Rev. B 12, 4200 (1975) 23. R. G. ): Quantum Theory of Real Materials (Kluwer Academic, Boston 1996) 24. T. L. Cohen: Phys. Rev. Lett. 45, 1004 (1980) 25. J. M. L. M.

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