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Mehrdimensionale Simulation von Hochtemperaturprozessen in der Siliziumtechnologie

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Mathematik Schlüsseltechnologie für die Zukunft
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Abstract

We briefly review various models for the diffusion of impurity atoms in silicon and subject some of them to further numerical and analytical investigations. Similar work is done with respect to the thermal oxidation of silicon. We study the interplay between both processes, leading to segregation at a moving interface in a system with volume change. Special attention is paid to the importance of spatial dimension in that context. Concluding remarks sketch problems appearing with the simulation of dopant diffusion in poly crystalline silicon.

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Literatur

  1. Antoniadis, D.A., Rodoni, M., Dutton, R.W.: Impurity Redistribution in Si02-Di during Oxidation: A Numerical Solution Including Interfacial Fluxes. J. Electrochem. Soc. 126(1979) 1939–1945.

    Article  Google Scholar 

  2. Borucki, L., Hansen, H.H., Varahramyan, K.: FEDSS - A 2D semiconductor fabrication process simulator. J. Res. Dev. 29 (1985)263–275.

    Google Scholar 

  3. Deal, B.E., Grove, A.S.: General Relationship for the Thermal Oxidation of Silicon. J. Appl. Phys. 36 (1965) 3770–3778

    Article  Google Scholar 

  4. Fahey, P.M., Griffin, P.B., Plummer, J.D.: Point defects and dopant diffusion in silicon. Rev. Mod. Phys. 61 (1989) 289–384

    Article  Google Scholar 

  5. Jiang, L., Liu, Z., Zhu, N., Merz, W.: A Free Boundary Problem Arising in Oxidation Process of Silicon. To appear in ‘Advances in Math. Science and Applic.’

    Google Scholar 

  6. Jones, S.K., Gerodolle, A.: 2D Process Simulation of Dopant Diffusion in Polysilicon: TITAN-POLY J.J.H. Miller (Ed.), NASECODE VI, Dublin (1991) 31–32.

    Google Scholar 

  7. Ladyženskaja, O.A., Rivkind, V. Jr., Ural’ceva, N.N.: The classical solvability of diffraction problems. Proc. Steklov Inst. 92 (1966) 132–166

    Google Scholar 

  8. Merz, W., Pulverer, K., Wilczok, E.: Single Species Dopant Diffusion in Silicon. Numerical and Analytical Treatment. To appear in’The Mathematical Scientist’.

    Google Scholar 

  9. Merz, W., Strecker, N.: The Oxidation Process of Silicon: Modelling and Mathematical Treatment. Math. Meth. Appl. Sc. 17 (1994) 1165–1191.

    Article  MATH  MathSciNet  Google Scholar 

  10. Mulvaney, B.J., Richardson, W.B.: Physical Models for Impurity Diffusion in Silicon. J.J.H. Miller (Ed.), NASECODE VI, Dublin (1991) 15–17

    Google Scholar 

  11. Penumalli, B.R.: A Comprehensive Two-Dimensional VLSI Process Simulation Program, BICEPS. IEEE Trans. ED 30 (1983) 986–992.

    Article  Google Scholar 

  12. Paffrath, M.: A mass conserving moving grid method for dopant silicon. In: Bank, R.E., Bulirsch, R. Gajewski, H., Merten, K. (Eds.), A mass conserving moving grid method for dopant simulation, Int. Ser. Num. Math. 117, Birkhäuser, Basel (1994) 267–279.

    Google Scholar 

  13. Tan, T.Y., Gafiteanu, R., Gösele, U.M.: Diffusion-segregation equation and simulation of the diffusion-segregation phenomena. Proc. Silicon Semiconductors (1994) 920–930.

    Google Scholar 

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© 1997 Springer-Verlag Berlin Heidelberg

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Hoffmann, KH., Bauer, HJ., Wilczok, E., Lorenz, J. (1997). Mehrdimensionale Simulation von Hochtemperaturprozessen in der Siliziumtechnologie. In: Hoffmann, KH., Jäger, W., Lohmann, T., Schunck, H. (eds) Mathematik Schlüsseltechnologie für die Zukunft. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-60550-5_25

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  • DOI: https://doi.org/10.1007/978-3-642-60550-5_25

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-64453-5

  • Online ISBN: 978-3-642-60550-5

  • eBook Packages: Springer Book Archive

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