Abstract
The evolution of microstructure as a function of firing temperature in sol-gel derived porous titania xerogels was investigated by small-angle x-ray scattering (SAXS). SAXS curves for xerogels fired below 550 °C exhibit a well-defined structure peak. This peak indicates the presence of a high degree of order in the electron density correlations associated with the interparticle structure factor. Results from electron microscopy and SAXS give a primary particle mean diameter of 50 Å, while scaling analysis of the scattered intensity at large momentum transfer values yields the Porod exponent 4, indicating a sharp transition zone between the solid and void phases. The pore volume fraction of the unfired xerogel is consistent with random close-packing of spheres. The internal surface area decreases almost linearly with increasing firing temperature. Rapid grain growth and pore coarsening begin near 90% of theoretical density, and lead to a breakdown in pore interconnectedness and the development of isolated pores. Observed enhanced sintering properties may be attributed primarily to the large surface-to-mass ratio of the sol-gel particles. The SAXS curves were adequately fit using a bicontinuous phase model developed for late-stage spinodal decomposition structures. Alternatively, the microstructure can be described by a hierarchical close-packing of spheres model. SAXS results are compared with data from gas adsorption and electron microscopy.
Similar content being viewed by others
References
L.L. Hench and J.K. West, Chem. Rev. 90, 33 (1990).
Sol-Gel Technology for Thin Films, Fibers, Preforms, Electronics and Specialty Shapes, edited by L. C. Klein (Noyes, Park Ridge, NJ, 1988).
C. J. Brinker and G. W. Scherer, Sol-Gel Science (Academic Press, New York, 1990).
R.B. Pettit, C.S. Ashley, S.T. Reed, and C.J. Brinker, in Ref. 2, Chap. 5, pp. 80–109.
M.A. Anderson, M.J. Gieselmann, and Q. Xu, J. Membrane Sci. 39, 243 (1988).
R. L. Lipeles, D. J. Coleman, and M. S. Leung, in Better Ceramics Through Chemistry II, edited by C. J. Brinker, D. E. Clark, and D.R. Ulrich (Mater. Res. Soc. Symp. Proc. 73, Pittsburgh, PA, 1986), p. 665.
J.B. Blum, in Ref. 2, Chap. 14, pp. 296–302.
P. A. Haas, Chem. Eng. Prog. April, 44 (1989).
D. W. Schaefer and K. D. Keefer, in Fractals in Physics, edited by L. Pietronero and E. Tosatti (Proc. 6th Trieste Int. Symp. Fractals Phys. Elsevier, Amsterdam, 1986), pp. 39–45.
A.F. Wright, J. Non-Cryst. Solids 76, 43 (1985).
D. L. Price, S. C. Moss, R. Reijers, M-L. Soboungi, and S. Susman, J. Phys.: Condens. Matter 1, 1005 (1989).
Small Angle X-ray Scattering, edited by O. Glatter and O. Kratky (Academic Press, New York, 1982).
M. A. Anderson, J. Tiscareno-Lechuga, Q. Xu, and C. G. Hill, in Novel Materials in Heterogeneous Catalysis, edited by R. T. K. Baker and L. L. Murrell (ACS, Washington, DC, 1990), Chap. 19, pp. 198–215.
J. Sabate, M. A. Anderson, H. Kikkawa, M. Edwards, and C. G. Hill, J. Catal. 127, 167 (1991).
M. J. Gieselmann, M. A. Anderson, M. D. Moosemiller, and C. G. Hill, Separation Sci. Technol. 23, 1695 (1988).
R.J. Uhlhorn, Ph.D. Thesis, University of Twente, 1990.
R. W. Siegel, H. Hahn, R. S. Zongquan, S. Ramasamy, L. Ting, and R. Gronsky, J. Phys. (Paris) 49, 681 (1988).
R. Pool, Science 248, 1186 (1990).
F. Zernike and J.A. Prins, Z. Phys. 41, 184 (1927).
J. B. Hayter, Faraday Discuss. Chem. Soc. 76, 7 (1983).
J.K. Percus and G. J. Yevick, Phys. Rev. 110, 1 (1958).
E. Thiele, J. Chem. Phys. 39, 474 (1963).
N. W. Ashcroft and J. Lekner, Phys. Rev. A 145, 83 (1966).
C. G. deKruif, W. J. Briels, R. P. May, and A. Vrij, Langmuir 4, 668 (1988).
A. Hohr, H. Neumann, P.W. Schmidt, and P. Pfiefer, Phys. Rev. B 38, 1462 (1988).
J. D. Bernal and J. L. Finney, Faraday Discuss. Chem. Soc. 43, 62 (1967).
J. L. Finney, Proc. Roy. Soc. Lond. A 319, 479 (1970).
G.Y. Onoda, Adv. Ceram. 21, 567 (1987).
G. D. Scott, Nature (London) 194, 956 (1962).
S. H. Chen, E. Y. Sheu, J. Kalus, and H. Hoffmann, J. Appl. Cryst. 21, 751 (1988).
P. Debye and A.M. Bueche, J. Appl. Phys. 20, 518 (1949).
P. Debye, H. R. Anderson, and H. Brumberger, J. Appl. Phys. 28, 679 (1957).
R. W. Hopper, J. Non-Cryst. Solids 49, 263 (1982).
J.W. Cahn, J. Chem. Phys. 42, 93 (1965).
N.F. Berk, J. Appl. Cryst. 21, 645 (1988).
R.W. Hopper, J. Non-Cryst. Solids 70, 111 (1985).
K. F. Bradley, S. H. Chen, and P. Thiyagarajan, Phys. Rev. A 42, 6015 (1990).
K. F. Bradley (private communication).
G. Porod, Kolloid Z. 124, 83 (1951).
W. Ruland, J. Appl. Crystallogr. 4, 70 (1971).
G. Porod, in Small-Angle X-ray Scattering, edited by O. Glatter and O. Kratky (Academic Press, New York, 1982), Chap. 2, pp. 17–51.
R. W. Hendricks, J. Appl. Crystallogr. 11, 15 (1978).
International Tables for X-Ray Crystallography, edited by J. A. Ibers and W. C. Hamilton (Kynoch Press, Birmingham, England, 1974), Vol. IV, Sect. 2.1.
T.P. Russell, J.S. Lin, S. Spooner, and G.D. Wignall, J. Appl. Cryst. 21, 629 (1988).
K.S.W. Sing, D.H. Everett, R.A.W. Haul, L. Moscou, R.A. Pierotti, J. Rouquerol, and T. Siemieniewska, Pure Appl. Chem. 57, 603 (1985).
S. J. Gregg and K. S. W. Sing, Adsorption, Surface Area and Porosity, 2nd ed. (Academic Press, London, 1982).
J. D. Bernal, Proc. Royal Soc. A (London) 280, 299 (1964).
F. Chaput, A. Lecomte, A. Dauger, and J. P. Boilot, Chem. Mater. 1, 199 (1989).
J.E. Epperson, R.W. Siegel, J.W. White, J.A. Eastman, Y.X. Liao, and A. Narayanasamy, in Multicomponent Ultrafine Microstructures, edited by L.E. McCandlish, D.E. Polk, R.W. Siegel, and B. H. Kear (Mater. Res. Soc. Symp. Proc. 132, Pittsburgh, PA, 1989), p. 15.
J.E. Epperson, R.W. Siegel, J.W. White, T.E. Klippert, A. Narayanasamy, J.A. Eastman, and F. Trouw, in Neutron Scattering for Materials Science, edited by S. M. Shapiro, S. C. Moss, and J. D. Jorgensen (Mater. Res. Soc. Symp. Proc. 166, Pittsburgh, PA, 1990), p. 87.
R.W. Siegel and J.A. Eastman, in Multicomponent Ultrafine Microstructures, edited by L.E. McCandlish, D.E. Polk, R.W. Siegel, and B.H. Kear (Mater. Res. Soc. Symp. Proc. 132, Pittsburgh, PA, 1989), p. 3.
J. A. Pask, in Proc. Int. Symp. on Factors in Densification and Sintering of Oxide and Non-oxide Ceramics, edited by S. Sōmiya and S. Saito (Gakujutsu Bunken Fukyu-kai, Tokyo, 1978), p. 580.
M.F. Yan, Adv. Ceram. 21, 635 (1987).
F.F. Lange and B.J. Kellett, J.Am. Ceram. Soc. 72, 735 (1989).
C.P. Cameron and R. Raj, J. Am. Ceram. Soc. 71, 1031 (1988).
R. D. Shannon and J. A. Pask, Am. Mineralogist 49, 1707 (1964).
R. L. Coble and J. E. Burke, in Progress in Ceramic Science, edited by J.E. Burke (1963), Chap. 4, pp. 197–251.
B. C. Larson and H. D. Bale, in Small-Angle X-Ray Scattering, edited by H. Brumberger (Gordon and Breach, New York, 1967), pp. 467–476.
G. W. Scherer, J. Non-Cryst. Solids 100, 77 (1988).
D.J. Yarusso and R. Register, computer code MHSCA4 (Department of Chemical Engineering, University of Wisconsin, Madison, Madison, WI, 1988).
P.V. Beurten, D. Frenkel, S. Coenen and M. Duits, computer code SCATCO (Van’t Hoff Laboratory, University of Utrecht, The Netherlands, 1990).
M. Duits (private communication).
J. C. Lasalle, S. Spooner, and L. H. Schwartz, in Phase Transformations in Solids, edited by T. Tsakalakos (Elsevier, New York, 1984), pp. 549–555.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Hackley, V.A., Anderson, M.A. & Spooner, S. A small-angle x-ray scattering study of microstructure evolution during sintering of sol-gel-derived porous nanophase titania. Journal of Materials Research 7, 2555–2571 (1992). https://doi.org/10.1557/JMR.1992.2555
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1557/JMR.1992.2555