Issue
Korean Journal of Chemical Engineering,
Vol.19, No.3, 391-399, 2002
Mathematical Modeling for Chemical Vapor Deposition in a Single-Wafer Reactor: Application to Low-Pressure Deposition of Tungsten
A mathematical model for low pressure chemical vapor deposition in a single-wafer reactor in stagnation point flow has been developed to investigate the reactor performance. The transient transport equations for a simulated reactor include continuity, momentum, energy, and gaseous species balances. The model equations are simultaneously solved by using a numerical technique of orthogonal collocation on finite element method. Simulation studies have been performed to gain an understanding of tungsten low pressure chemical vapor deposition process. The model is then used to optimize the deposition rate and uniformity on a wafer, and the effects of operating conditions on deposition rate are studied to examine how system responses are affected by changes in process parameters. Deposition rate and uniformity calculated at the steady state are observed to be very sensitive to both temperature and total pressure. In addition, the model predictions for tungsten deposition from hydrogen reduction of tungsten hexafluoride have been compared with available experimental data in order to demonstrate the validity of the model.
[References]
  1. Arora R, Pollard R, J. Electrochem. Soc., 138(5), 1523, 1991
  2. Blewer RS, "Tungsten and Other Refractory Metals for VLSI Applications," MRS Publishers, Pittsburg, PA, 1986
  3. Blewer RS, McConica CM, "Tungsten and Other Refractory Metals for VLSI Applications IV," MRS Publishers, Pittsburg, PA, 1989
  4. Broadbent EK, "Tungsten and Other Refractory Metals for VLSI Applications II," MRS Publishers, Pittsburg, PA, 1987
  5. Broadbent EK, Ramiller CL, J. Electrochem. Soc., 131(6), 1427, 1984
  6. Bryant WA, J. Electrochem. Soc., 125(9), 1534, 1978
  7. Bullis WM, O'Mara WC, Solid State Technol., 36(4), 59, 1993
  8. Cale TS, Jain MK, Raupp GB, J. Electrochem. Soc., 137(5), 1526, 1990
  9. Cale TS, Park JH, Raupp GB, Jain MK, "Impacts of Temperature and Reactant Flow Rate Transients on LPCVD Tungsten Silicide Film Properties," in Rapid Thermal and Integrated Processing, Mat. Res. Soc. Symp. Proc., 224, MRS, 171, 1991
  10. Cale TS, Park JH, Gandy TH, Raupp GB, Jain MK, Chem. Eng. Commun., 119, 197, 1993
  11. Cale TS, Raupp GB, Park JH, Jain MK, Rogers BR, "The Inherently Transient Nature of Deposition Processes," in Proceedings of First Intermational Conference of Transport Phenomena in Processing, Guceri, S., ed., Technomic Publishing Co., 127, 1992
  12. Campbell SA, Knutson KL, Ahn KH, Leighton JD, Liu B, IEEE IEDM Tech. Digest, 921, 1990
  13. Chase MW, Davies CA, Downey JR, Frurip DJ, McDonald RA, Syverud AN, J. Phys. Chem. Ref. Data, 14, 1985
  14. Chatterjee S, Trachtenberg I, Edgar TF, J. Electrochem. Soc., 139(12), 3682, 1992
  15. Dobskin DM, J. Electrochem. Soc., 139(9), 2573, 1992
  16. Economou DJ, Alkire RC, J. Electrochem. Soc., 135(11), 2786, 1988
  17. Finlayson BA, "Nonlinear Analysis in Chemical Engineering," McGraw-Hill, Inc., New York, 1980
  18. Fitzjohn JL, Holstein WL, J. Electrochem. Soc., 137(2), 699, 1990
  19. Hasper A, Holleman J, Middelhoek J, Klejin CR, "W-LPCVD Step Coverage and Modeling in Trenches and Contact Holes," in Tungsten and Other Advanced Metals for VLSI Applications, S.S. Wong and S. Furukawa, eds., MRS Publishers, Pittsburgh, PA, 127, 1990
  20. Hess DW, Jensen KF, Anderson TJ, Rev. Chem. Eng., 3(2), 97, 1985
  21. Hirschfelder JO, Curtiss CF, Bird RB, "Molecular Theory of Gases and Liquids," John Wiley & Sons, Inc., 1954
  22. Jasinski TJ, Kang SS, "Application of Numerical Modeling for CVD Simulation Test Case: Blanket Tungsten Deposition Uniformity," in Tungsten and Other Advanced Metals for ULSI Applications in 1990, G.C. Smith and R. Blumenthal, eds., MRS Publishers, Pittsburgh, PA, 219, 1991
  23. Jasinski TJ, Harshbarger WR, "Numerical Modeling of Tungsten Disilicide Deposition," in Tungsten and Other Refractory Metals for VLSI Applications IV, R.S. Blewer, C.M. McConica, ed., MRS Publishers, Pittsburgh, PA, 189, 1989
  24. Jenkinson JP, Pollard R, J. Electrochem. Soc., 131(12), 2911, 1984
  25. Jensen KF, Chem. Eng. Sci., 42(5), 923, 1987
  26. Kleijn CR, Hoogendoorn CJ, Hasper A, Holleman J, Middelhock J, J. Electrochem. Soc., 138(2), 509, 1991
  27. Kleijn CR, vander Meer H, Hoogendoorn CJ, J. Electrochem. Soc., 136(11), 3423, 1989
  28. Kleijn CR, J. Electrochem. Soc., 138(7), 2190, 1991
  29. Lam DK, Koch GR, Solid State Technol., 23(9), 99, 1980
  30. McConica CM, Krishnamani K, J. Electrochem. Soc., 133(12), 2542, 1986
  31. McConica CM, Churchill S, "Step Coverage Prediction During Blanket CVD Tungsten Deposition," in Tungsten and Other Refractory Metals for VLSI Applications III, V.A. Wells, ed., MRS Publishers, Pittsburgh, PA, 257, 1988
  32. Moslehi MM, Chapman RA, Wong M, Paranjipe A, Najm HN, Kuehne J, Yekley RL, Davis CJ, IEEE Trans. Electron Devices, 39(1), 4, 1992
  33. Pankratz LB, "Thermodynamics Properties of Halides," U.S. Bureau of Mines, Bulletin 674, 1984
  34. Park JH, Korean J. Chem. Eng., 13(2), 105, 1996
  35. Park JH, J. Ind. Eng. Chem., 2(2), 171, 1996
  36. Park JH, "Simulation of Low Pressure Chemical Vapor Deposition Using Combined Reactor Scale and Feature Scale Models," Ph.D. Dissertation, Arizona State University, U.S.A., 1992
  37. Park SK, Economou DJ, J. Electrochem. Soc., 137(8), 2624, 1990
  38. Pauleau Y, Lami P, J. Electrochem. Soc., 132(11), 2779, 1985
  39. Rana VVS, Joshi RV, Ohdomari I, "Advanced Metalization for ULSI Applications," MRS Publishers, Pittsburgh, PA, 1992
  40. Reid RC, Prausnitz JM, Poling BE, "The Properties of Gases & Liquids," McGraw-Hill, Inc., New York, 1988
  41. Riely PE, Clark TE, J. Electrochem. Soc., 138(10), 3008, 1991
  42. Rode EJ, Schmitz JEJ, "Study of Reactor Design by Computational Fluid Dynamics," in Advanced Metallization for ULSI Applications, V.V.S. Rana, R.V. Joshi, and I. Ohdomari, eds., MRS Publishers, Pittsburgh, 105, 1992
  43. Skelly DW, Lu TM, Woodruff DW, "Metallization Techniques," in VLSI Electronics: Microstructure Science, Academic Press, 15, 101, 1987
  44. Smith GC, Blumenthal R, "Tungsten and Other Advanced Metals for ULSI Applications in 1990," MRS Publishers, Pittsburgh, PA, 1991
  45. Suwondo E, Pibouleau L, Domenech S, Riba JP, Chem. Eng. Commun., 102, 161, 1991
  46. Svehla RA, "Estimated Viscosities and Thermal Conductivities of Gases at High Temperatures," NASA Tech. Report R-132, Lewis Res. Center, Cleveland, OH, 1962
  47. Ulacia F, Howell JIS, Krner H, Werner C, Appl. Surf. Sci., 38, 370, 1989
  48. vander Putte P, Philips J. Res., 42, 608, 1987
  49. Werner C, Ulacia FJI, Hopfmann C, Flynn P, J. Electrochem. Soc., 139(2), 566, 1992
  50. Wong F, Solid State Technol., 32(Oct.), 53, 1989