Predictions of zinc selenide single crystal growth rate for the micro gravity experiments

  • Kim, Geug-Tae (Department of Nano-Bio Chemical Engineering, Hannam University)
  • Published : 2004.10.01

Abstract

One predicts the crystal growth rate of ZnSe with a low vapor pressure system in a horizontal configuration based on one dimensional advection-diffusion and two-dimensional diffusion-convection model. The present results show that for the ratios of partial pressures, s = 0.2 and 2.9, the growth rate increases with the temperature differences between the source and crystal. As the ratio of partial pressure approaches the stoichiometric value, s = 2 from s = 1.5 (zinc-deficient case: s < 2) and 2.9 (zinc-rich case: s > 2), the rate increases sharply. For the ranges from 1.5 to 1.999 (zinc-deficient case: s < 2) and from s = 9 to 2.9 (zinc-rich case: s > 2), the rate are slightly varied. From the viewpoint of the order of magnitude, the one-dimensional model for low vapor pressure system falls within the 2D predictions, which indicates the flow fields would be advective-diffusive. For the effects of gravitational accelerations on the rate, the gravitational constants are varied from 1 g to $10^{-6}$ g for $\Delta$T = 50 K and s = 1.5, the rates remain nearly constant, i.e., 211 mg/hr, which indicates Stefan flow is dominant over convection.

Keywords

References

  1. H. Kukimoto, 'Conductivity control of ZnSe grown by MOVPE and its application for blue electroluminescence,' J. Crystal Growth 101 (1990) 953 https://doi.org/10.1016/0022-0248(90)91113-5
  2. H.J. Eichler, V. Glaw, A. Kummrow, V. Penschke and Wahi, 'Optically bistable thin film devices using widegap II-VI compounds,' J. Crystal Growth 101 (1990) 695 https://doi.org/10.1016/0022-0248(90)91061-T
  3. S. Guha, J.M. DePuydt, M.A. Hasse, J. Qiu and H. Cheng, AppI. Phys. Lett. 63 (1993) 3107 https://doi.org/10.1063/1.110218
  4. M.A. Hasse, J.M. DePuydt and H. Chen, AppI. Phys. Lett. 59 (1991) 1272 https://doi.org/10.1063/1.105472
  5. H. Jeon, J. Ding, A.Y. Nurmikko, W. Xie, D.C. Grillo, M. Kobayashi, R.L. Gunshor, G.C. Hua and N. Otsuka, Appl. Phys. Lett. 60 (1992) 2045 https://doi.org/10.1063/1.107109
  6. W.C. Holton, R.K. Watts and R.D. Stinedurf, Eichler, J. Crystal Growth 6 (1969) 97 https://doi.org/10.1016/0022-0248(69)90099-2
  7. MJ. Kozielski, 'Polytype single crystals of $Zn_{1-X}Cd_XS$ and $ZnS_{1-x}Se_x$ solid solutions grown from the melt under high argon pressure by bridgmans method,' J. Crystal Growth 30 (1975) 86 https://doi.org/10.1016/0022-0248(75)90203-1
  8. I. Kikuma and M. Furukoshi,' Melt growth of ZnSe crystals under argon pressures,' J. Crystal Growth 41 (1977) 103 https://doi.org/10.1016/0022-0248(77)90103-8
  9. C.C. Chang, C.C. Wei, YK. Su and H.C. Tzeng, 'Growth and characterization of ZnSe single crystals by closed tube methods,' J. Crystal Growth 84 (1987) 11 https://doi.org/10.1016/0022-0248(87)90110-2
  10. K. Mochizuki, K. Masumoto and H. Iwanaga, 'Morphology and photoluminescence (PL) of ZnSe single crystals grown frm Se and/or as solvents,' J. Crystal Growth 84 (1987) 1 https://doi.org/10.1016/0022-0248(87)90108-4
  11. H. Hartmann, 'Studies on the vapour growth of ZnS, ZnSe and ZnTe single crystals,' J. Crystal Growth 42 (1977) 144 https://doi.org/10.1016/0022-0248(77)90187-7
  12. W Palosz, 'Growth of ZnS and $Zn_{1-X}Cd_XS(X < 0.07)$ single crystas by iodine transport,' J. Crystal Growth 60 (1982) 57 https://doi.org/10.1016/0022-0248(82)90172-5
  13. K. Bottcher and H. Hartmann, 'Zinc selenide single crystal growth by chemical transport reactions', J. Crystal Growth 146 (1995) 53 https://doi.org/10.1016/0022-0248(94)00471-4
  14. J.R. Cutter and J. Woods, 'Growth of single crystals of zinc selenide from the vapor phase', J. Crystal Growth 47 (1979) 405 https://doi.org/10.1016/0022-0248(79)90206-9
  15. H.Y. Cheng and E.E. Anderson, 'The growth of ZnSe single crystals by physical vapor transport', J. Crystal Growth 96 (1989) 756 https://doi.org/10.1016/0022-0248(89)90632-5
  16. Y.U. Korostelin, V.I. Kozlovsky, A.S. Nasibov and P.V. Shapkin, 'Vapour and characterization of bulk ZnSe single crystals', J. Crystal Growth 161 (1996) 51 https://doi.org/10.1016/0022-0248(95)00611-7
  17. C.H. Su, S. Feth and S.L. Lehoczky, 'In situ partial pressure measurements and visual observation during crystal growth of ZnSe by seeded physical vapor transport', J. Crystal Growth 209 (2000) 687 https://doi.org/10.1016/S0022-0248(99)00631-4
  18. C.H. Su, M.A. George, W. Palosz, S. Feth and S.L. Lehoczky, 'Contactless growth of ZnSe single crystals by physical vapor transport', J. Crystal Growth 213 (2000) 267 https://doi.org/10.1016/S0022-0248(00)00385-7
  19. C.H. Su, S. Feth, L.J. Wang and S.L. Lehoczky, 'Photoluminescene studies of ZnSe starting materials and vapor grown bulk crystals', J. Crystal Growth 224 (2001) 32 https://doi.org/10.1016/S0022-0248(01)00770-9
  20. F. Rosenberger, 'Fluid dynamics in crystal growth from vapors', Physico-Chemical Hydro-dynamics 1 (1980) 3
  21. M.M. Faktor and I. Garrett, Growth of Crystals from the Vapour, Chapman & Hall, London (1974)
  22. Y.-G. Sha, C.-H. Su, W. Palosz, M.P. Volz, D.C. GilIies, ER. Szofran, S.L. Lehoczky, H.-C. Liu and RE Brebrick, 'Mass flux of ZnSe by physical vapor transport', J. Crystal Growth 146 (1995) 42 https://doi.org/10.1016/0022-0248(94)00483-8
  23. C.-H. Su, 'Growth rate of CdS by vapor transport in a closed ampoule,' J. Crystal Growth 80 (1987) 333 https://doi.org/10.1016/0022-0248(87)90079-0
  24. D.WG. Ballentyne, S. Wetwatana and E.A.D. White, 'Kinetics of the vapour-phase growth of II-VI compounds in a sealed tube,' J. Crystal Growth 7 (1970) 79 https://doi.org/10.1016/0022-0248(70)90119-3
  25. H. Zhou, A. Zebib, S. Trivedi and WM.B. Duval, 'Physical vapor transport of zinc-telluride by dissociative sublimation', J. Crystal Growth 167 (1996) 534 https://doi.org/10.1016/0022-0248(96)00305-3
  26. N. Ramachandran, C.H. Su and S.L. Lehoczky, 'Modeling studies of PVT growth of ZnSe: current status and future course', J. Crystal Growth 208 (2000) 269 https://doi.org/10.1016/S0022-0248(99)00512-6
  27. G.T. Kim, 'Convection in the growth of zinc telluride single crystal by physical vapor transport,' J. Korean Crystal Growth and Crystal Tech. 4 (2003) 187
  28. RE Brebrick and H.-C. Liu, High Temp. Mater. Sci. 35 (1996) 215
  29. R.C. Reid, J.M. Prausnitz and B.E. Poling, Bird, The properties of gases & liquids (McGraw-Hill, New York, NY, 1988)
  30. D. Siche, K. Bottcher, U. Rinas and H. Hartmann, 'Crystal growth of zinc selenide under ug-conditions,' J. Crystal Growth 244 (2002) 249 https://doi.org/10.1016/S0022-0248(02)01680-9