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Analysis of Sans from Controlled Pore Glasses

Published online by Cambridge University Press:  21 February 2011

N. F. Berk ,
C. J. Glinka ,
W. Haller  and
L. C. Sandert
N. F. Berk
Affiliation:
Materials Science and Engineering Laboratory, National Institute of Standards and Technology, Gaithersburg, Md 20899
C. J. Glinka
Affiliation:
Materials Science and Engineering Laboratory, National Institute of Standards and Technology, Gaithersburg, Md 20899
W. Haller
Affiliation:
Materials Science and Engineering Laboratory, National Institute of Standards and Technology, Gaithersburg, Md 20899
L. C. Sandert
Affiliation:
Center for Analytical Chemistry, National Institute of Standards and Technology, Gaithersburg, Md 20899
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Abstract

Small angle neutron scattering measurements have been performed on several samples of silica controlled pore glasses with pore sizes ranging from roughly 7 to 30 nm. The scattering intensity is strongly peaked at small Q and shows approximate Porod law behavior at large Q. Contrast variation measurements have shown that the pore space in these samples is entirely interconnected and thus forms a bicontinuous microstructure. The scattering data have been analyzed using the leveled wave method based on an early scheme for representing two-phase microstructures resulting from spinodal decomposition. In this approach interfaces are modeled by the contours of a stochastic standing wave composed of plane wave components propagating in random directions with random phases and having wave numbers distributed according to a given probability density, P(k). We have determined model P(k) functions by fitting the SANS data with the leveled wave scattering function and then used these to construct leveled wave images of the corresponding porous structures. The average pore sizes obtained by measuring chord lengths in the computer models turn out to agree with the values determined for these glasses by mercury porosimetry.

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 166: Symposium J – Neutron Scattering for Materials Science , 1989 , 409
Copyright
Copyright © Materials Research Society 1990

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References

REFERENCES

1. Wiltzius, P., Bates, F. S., Dierker, S. B. and Wignall, G. D., Phys. Rev. A36, 2991 (1987).CrossRefGoogle Scholar
2. Hohr, A., Neumann, H-B., Schmidt, P. W. and Pfeifer, P., Phys. Rev. B38, 1462 (1988).CrossRefGoogle Scholar
3. Sinha, S. K., Drake, J. M., Levitz, P. and Stanley, H. B. in Fractal Aspects of Materials: Disordered Systems, edited by Hurd, A. J., Weitz, D. A. and Mandelbrot, B. B. (Mater. Res. Soc. Proc. S, Boston, MA 1987) pp. 118–120.Google Scholar
4. Hopper, R. W., J. Non-Cryst. Solids 49, 263 (1982).CrossRefGoogle Scholar
5. Berk, N. F., Phys. Rev. Lett. 58, 2718 (1987).CrossRefGoogle Scholar
6. Cahn, J. W., J. Chem. Phys. 42, 93 (1965).CrossRefGoogle Scholar
7. Haller, W., in Solid Phase Biochemistry - Analytical and Chemical Aspects, edited by Scouten, W. H. (Wiley, New York, 1983), Chap. 11.Google Scholar
8. Schmidt, P. W., Hohr, A., Neumann, H.-B., Kaiser, H., Avnir, D., and Lin, J. S., J. Chem. Phys. 90, 5016 (1989).CrossRefGoogle Scholar
9. See Eqns. (8)-(9) and text ahead of (11) in Ref. [5]. The case here corresponds to ???? in [5].Google Scholar
10. Gradshteyn, I. S. and Ryzhik, I. M., Table of Integrals, Series, and Products (Corrected and Enlarged Edition), edited by Jeffrey, A., Orlando: Academic Press (1980). See Sec. 8.955. In fact, these asymptotic formulas are adequate for n ???? 3 in this application, since β not too large.Google Scholar