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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 17, Iss. 8 — Apr. 13, 2009
  • pp: 6899–6912

On the transparency of nanostructured alumina: Rayleigh-Gans model for anisotropic spheres.

Carlos Pecharromán, Gustavo Mata-Osoro, L. Antonio Díaz, R. Torrecillas, and J. S. Moya  »View Author Affiliations

Optics Express, Vol. 17, Issue 8, pp. 6899-6912 (2009)

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A light scattering model under the Rayleigh-Gans-Debye approximation has been developed for polycristalline alumina. The model states that transmittance of dense alumina ceramics basically depends not only on the maximum grain size but also on the preferential orientation of their c-axis, or texture. The effect of texture in transparency has been experimentally measured on several dense alumina samples with different grain size and compared to that obtained from x-ray Rietveld refinements with a very good agreement. The Rayleigh-Gans-Debye approximation also allows to represent optical data in a very simple way (logarithm of transmittance vs. the inverse of the wavelength square). Using these variables, a straight line is obtained for the Rayleigh-Gans-Debye approximation, its slope being proportional to the maximum grain size and textural parameter. Deviation from this law implies the presence of pores or grain of extremely large size.

© 2009 Optical Society of America

OCIS Codes
(160.1190) Materials : Anisotropic optical materials
(260.1440) Physical optics : Birefringence
(350.3850) Other areas of optics : Materials processing
(160.1245) Materials : Artificially engineered materials
(290.5825) Scattering : Scattering theory

ToC Category:

Original Manuscript: February 13, 2009
Revised Manuscript: March 18, 2009
Manuscript Accepted: March 21, 2009
Published: April 10, 2009

Carlos Pecharromán, Gustavo Mata-Osoro, L. Antonio Díaz, R. Torrecillas, and J. S. Moya, "On the transparency of nanostructured alumina: Rayleigh-Gans model for anisotropic spheres," Opt. Express 17, 6899-6912 (2009)

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  1. G. Wei, "Transparent ceramic lamp envelope materials," J. Phys. D 38, 3057-3065 (2005). [CrossRef]
  2. U. Anselmi-Tamburini, J. N. Woolman, and Z. A. Munir, "Transparent nanometric cubic and tetragonal zirconia obtained by high-pressure pulsed electric current sintering," Adv. Funct. Mater. 17, 3267-3273 (2007). [CrossRef]
  3. R. Apetz and M. P. B. van Bruggen, "Transparent alumina: A light-scattering model," J. Amer. Ceram. Soc. 86, 480-486 (2003). [CrossRef]
  4. G. Bernard-Granger, C. Guizard, and A. Addad, "Sintering behavior and optical properties of yttria," J. Amer. Ceram. Soc. 90, 2698-2702 (2007). [CrossRef]
  5. R. Fedyk, D. Hreniak, W. Lojkowski, W. Strek, H. Matysiak, E. Grzanka, S. Gierlotka, and P. Mazur, "Method of preparation and structural properties of transparent YAG nanoceramics," Opt. Mater. 29, 1252-1257 (2007). [CrossRef]
  6. N. Frage, S. Cohen, S. Meir, S. Kalabukhov, and M. P. Dariel, "Spark plasma sintering (SPS) of transparent magnesium-aluminate spinel," J. of Mater. Sci. 42, 3273-3275 (2007). [CrossRef]
  7. A. Krell and J. Klimke, "Effects of the homogeneity of particle coordination on solid-state sintering of transparent alumina," J. Amer. Ceram. Soc. 89, 1985-1992 (2006). [CrossRef]
  8. J. G. Li and Y. P. Ye, "Densification and grain growth of Al2O3 nanoceramics during pressureless sintering," J. Amer. Ceram. Soc. 89, 139-143 (2006). [CrossRef]
  9. Z. J. Shen, M. Johnsson, Z. Zhao, and M. Nygren, "Spark plasma sintering of alumina," J. Amer. Ceram. Soc. 85, 1921-1927 (2002). [CrossRef]
  10. V. V. Srdic, M. Winterer, and H. Hahn, "Sintering behavior of nanocrystalline zirconia prepared by chemical vapor synthesis," J. Amer. Ceram. Soc. 83, 729-736 (2000). [CrossRef]
  11. Y. T. O, J. B. Koo, K. J. Hong, J. S. Park, and D. C. Shin, "Effect of grain size on transmittance and mechanical strength of sintered alumina," Mat. Sci. Eng. A 374, 191-195 (2004). [CrossRef]
  12. J. Peelen and R. Metselaar, "Light-scattering by pores in polycrystalline materials-transmission properties of alumina" J. Appl. Phys. 45, 216-220 (1974). [CrossRef]
  13. T. Kappen, "Status quo of ceramic material for metal halide discharge lamps," J. Phys. D 38, 3033-3039 (2005). [CrossRef]
  14. A. Jones, "Light scattering for particle characterization," Prog. Ener, Comb. Sci. 25, 1-53 (1999). [CrossRef]
  15. J. Holoubek, "Simple representation of small-angle light-scattering from an anisotropic sphere" J. Polymer Sci. A-2 10, 1461 (1972). [CrossRef]
  16. Y. L. Geng, X.-B. Wu, L. W. Li, and B. R. Guan, "Mie scattering by a uniaxial anisotropic sphere," Phys. Rev. E,  70056609 (2004). [CrossRef]
  17. R. Haracz, L. D. Cohen and A. Cohen, "Scattering of linearly polarized-light from randomly oriented cylinders and spheroids," J. Appl. Phys. 58, 3322-3327 (1985). [CrossRef]
  18. L. Turner, "Rayleigh-Gans-Born light-Scattering by ensembles of randomly oriented anisotropic particles," Appl. Opt. 12, 1085-1090 (1973). [CrossRef] [PubMed]
  19. G. Bernard-Granger and C. Guizard, "Influence of MgO or TiO2 doping on the sintering path and on the optical properties of a submicronic alumina material," Scripta Mater. 56, 983-986 (2007). [CrossRef]
  20. D. Jiang, D. M. Hulbert, U. Anselmi-Tamburini, T. Ng, D. Land, A. K. Mukherjee, "Optically transparent polycrystalline Al2O3 produced by spark plasma sintering" J. Amer. Ceram. Soc. 91, 151-154 (2008). [CrossRef]
  21. G. Bernard-Granger, C. Guizard, and A. Addad, "Influence of co-doping on the sintering path and on the optical properties of a submicronic alumina material," J. Amer. Ceram. Soc. 91, 1703-1706 (2008). [CrossRef]
  22. D. Chakravarty, S. Bysakh, K. Muraleedharan, T.N. Rao, R. Sundaresan, "Spark plasma sintering of magnesia-doped alumina with high hardness and fracture toughness," J. Amer. Ceram. Soc. 91, 203-208 (2008). [CrossRef]
  23. H. C. H. C. v. d. Hulst, Light scattering by small particles.
  24. W. Dollase, "Correction of intensities for preferred orientation in powder diffractometry-application of the March model," J. Appl. Crystal. 19, 267-272 (1986). [CrossRef]
  25. E. Guilmeau, D. Chateigner, T. S. Suzuki, Y. Sakka, C. Henrist, and B. Ouladdiaf, "Rietveld Texture Analysis of Alumina Ceramics by Neutron Diffraction," Chem. Mater. 17, 102-106 (2005). [CrossRef]
  26. P. P. Beckmann and A. Spizzichino, The scattering of electromagnetic waves from rough surfaces. Ed. Artech House Radar Library, Norwood, MA, USA, (1987)
  27. C. Pecharroman, F. Gracíìa, J. P. Holgado, M. OcanÞa, A.R. Gonzaìlez-Elipe, J. Bassas, J. Santiso, A. Figueras "Determination of texture by infrared spectroscopy in titanium oxide-anatase thin films,"J. Appl. Phys. 93, 4634-4645 (2003). [CrossRef]
  28. M. Ocaña, C. Pecharromaìn, F. Gracíìa, J. P. Holgado, and A. R. Gonzaìlez-Elipe. "Analysis of texture and microstructure of anatase thin films by Fourier transform infrared spectroscopy," Thin Solid Films 515, 1585-1591 (2006). [CrossRef]
  29. W. Swiatnicki, S. Lartigue-Korinek, and J. Y. Laval"Grain-Boundary structure and intergranular segregation in Al2O3," Acta Metal.Mater. 43, 795-805 (1995). [CrossRef]
  30. A. Kebbede, J. Parai, and A. H. Carim, "Anisotropic grain growth in alpha-Al2O3 with SiO2 and TiO2 additions," J. Amer. Ceram. Soc. 83, 2845-2851 (2000). [CrossRef]
  31. Y. Sakka, T. S. Suzuki, and T. Uchikoshi "Fabrication and some properties of textured alumina-related compounds by colloidal processing in high-magnetic field and sintering," J. Eur. Ceram. Soc. 28, 935-942 (2008). [CrossRef]

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