Quantification of branching in fumed silica

Mulderig, Andrew; Beaucage, Gregory; Vogtt, Karsten; Jiang, Hanqiu; Kuppa, Vikram

doi:10.1016/j.jaerosci.2017.04.001

Quantification of branching in fumed silica

Journal Article · Fri Apr 28 00:00:00 EDT 2017 · Journal of Aerosol Science

DOI:https://doi.org/10.1016/j.jaerosci.2017.04.001· OSTI ID:1418532

Mulderig, Andrew ^[1]; Beaucage, Gregory ^[2]; Vogtt, Karsten ^[2]; Jiang, Hanqiu ^[2]; Kuppa, Vikram ^[3]

University of Cincinnati, OH (United States); DOE Office of Scientific and Technical Information (OSTI)
University of Cincinnati, OH (United States)
University of Dayton Research Inst., Dayton, OH (United States)

The fractal structure of ceramic aggregates has been widely studied in terms of the mass fractal dimension and primary particle size. However, there has not yet been a quantitative description of the branched topology in these structures. In this work, the highly ramified aggregate structure in six commercial grades of hydrophilic fumed silica is investigated. Ultra-small angle X-ray scattering was coupled to a hierarchical scattering model, the unified scattering function, to obtain topological parameters. These generic topological parameters were used to quantify branching and were then compared with simple aggregation simulations. Surprisingly, a single parameter, the sticking probability, can empirically account for complex topological differences in the materials studied. It is found that samples of higher specific surface area display a higher branch fraction. For grades of highest specific surface area, a hyper-branched structure is observed with extensive branch on branch aggregation. This approach can be used to quantify complex morphological differences in ceramic oxide and carbon black aggregates.

View Accepted Manuscript (DOE)

Research Organization:: University of Cincinnati, OH (United States)

Sponsoring Organization:: National Science Foundation; USDOE; USDOE Office of Science (SC)

Grant/Contract Number:: AC02-06CH11357

OSTI ID:: 1418532

Alternate ID(s):: OSTI ID: 1413380
OSTI ID: 1368203

Journal Information:: Journal of Aerosol Science, Journal Name: Journal of Aerosol Science Journal Issue: C Vol. 109; ISSN 0021-8502

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

References (24)

Ultra-Small-Angle X-ray Scattering Instrument at the Advanced Photon Source: History, Recent Development, and Current Status Ilavsky, J.; Zhang, F.; Allen, A. J. Metallurgical and Materials Transactions A, Vol. 44, Issue 1 https://doi.org/10.1007/s11661-012-1431-y	journal	October 2012
Structure of combustion aerosols Schaefer, D. W.; Olivier, B. J.; Hurd, A. J. Journal of Aerosol Science, Vol. 22 https://doi.org/10.1016/S0021-8502(05)80134-X	journal	January 1991
Flame aerosol synthesis of ceramic powders Pratsinis, Sotiris E. Progress in Energy and Combustion Science, Vol. 24, Issue 3 https://doi.org/10.1016/S0360-1285(97)00028-2	journal	January 1998
High Concentration Agglomerate Dynamics at High Temperatures Heine, M. C.; Pratsinis, S. E. Langmuir, Vol. 22, Issue 24 https://doi.org/10.1021/la062022q	journal	October 2006
Reinforcement Mechanism of Nanofilled Polymer Melts As Elucidated by Nonlinear Viscoelastic Behavior Sternstein, S. S.; Zhu, Ai-Jun Macromolecules, Vol. 35, Issue 19 https://doi.org/10.1021/ma020482u	journal	September 2002
Branch Content of Metallocene Polyethylene Ramachandran, Ramnath; Beaucage, Gregory; Kulkarni, Amit S. Macromolecules, Vol. 42, Issue 13 https://doi.org/10.1021/ma900199t	journal	June 2009
Reinforcement of rubber by fractal aggregates Witten, T. A.; Rubinstein, M.; Colby, R. H. Journal de Physique II, Vol. 3, Issue 3 https://doi.org/10.1051/jp2:1993138	journal	March 1993
Quantitative investigations of aggregate systems Rai, D. K.; Beaucage, G.; Jonah, E. O. The Journal of Chemical Physics, Vol. 137, Issue 4 https://doi.org/10.1063/1.4737947	journal	July 2012
Diffusion in disordered media Havlin, Shlomo; Ben-Avraham, Daniel Advances in Physics, Vol. 51, Issue 1 https://doi.org/10.1080/00018730110116353	journal	January 2002
Light Scattering by Fractal Aggregates: A Review Sorensen, C. M. Aerosol Science and Technology, Vol. 35, Issue 2 https://doi.org/10.1080/02786820117868	journal	January 2001
Morphological Characterization of Fumed Silica Aggregates Boldridge, David Aerosol Science and Technology, Vol. 44, Issue 3 https://doi.org/10.1080/02786820903499462	journal	February 2010
Growth and Structure of Combustion Aerosols: Fumed Silica Schaefer, Dale W.; Hurd, Alan J. Aerosol Science and Technology, Vol. 12, Issue 4 https://doi.org/10.1080/02786829008959400	journal	January 1990
Topological properties of diffusion limited aggregation and cluster-cluster aggregation Meakin, P.; Majid, I.; Havlin, S. Journal of Physics A: Mathematical and General, Vol. 17, Issue 18 https://doi.org/10.1088/0305-4470/17/18/008	journal	December 1984
The fractal dimension of the minimum path in two- and three-dimensional percolation Herrmann, H. J.; Stanley, H. E. Journal of Physics A: Mathematical and General, Vol. 21, Issue 17 https://doi.org/10.1088/0305-4470/21/17/003	journal	September 1988
Diffusion-limited aggregation Witten, T. A.; Sander, L. M. Physical Review B, Vol. 27, Issue 9 https://doi.org/10.1103/PhysRevB.27.5686	journal	May 1983
Determination of branch fraction and minimum dimension of mass-fractal aggregates Beaucage, G. Physical Review E, Vol. 70, Issue 3 https://doi.org/10.1103/PhysRevE.70.031401	journal	September 2004
Fractal Geometry of Colloidal Aggregates Schaefer, Dale W.; Martin, James E.; Wiltzius, Pierre Physical Review Letters, Vol. 52, Issue 26 https://doi.org/10.1103/PhysRevLett.52.2371	journal	June 1984
Particle size distributions from small-angle scattering using global scattering functions Beaucage, G.; Kammler, H. K.; Pratsinis, S. E. Journal of Applied Crystallography, Vol. 37, Issue 4 https://doi.org/10.1107/S0021889804008969	journal	July 2004
Irena : tool suite for modeling and analysis of small-angle scattering Ilavsky, Jan; Jemian, Peter R. Journal of Applied Crystallography, Vol. 42, Issue 2 https://doi.org/10.1107/S0021889809002222	journal	February 2009
Ultra-small-angle X-ray scattering at the Advanced Photon Source Ilavsky, Jan; Jemian, Pete R.; Allen, Andrew J. Journal of Applied Crystallography, Vol. 42, Issue 3 https://doi.org/10.1107/S0021889809008802	journal	April 2009
Approximations Leading to a Unified Exponential/Power-Law Approach to Small-Angle Scattering Beaucage, G. Journal of Applied Crystallography, Vol. 28, Issue 6 https://doi.org/10.1107/S0021889895005292	journal	December 1995
Small-Angle Scattering from Polymeric Mass Fractals of Arbitrary Mass-Fractal Dimension Beaucage, G. Journal of Applied Crystallography, Vol. 29, Issue 2 https://doi.org/10.1107/S0021889895011605	journal	April 1996
Effect of reinforcing fillers on the rheology of polymer melts Aranguren, Mirta I.; Mora, Elsi; DeGroot, Jon V. Journal of Rheology, Vol. 36, Issue 6 https://doi.org/10.1122/1.550306	journal	August 1992
Size-dependent density of zirconia nanoparticles Opalinska, Agnieszka; Malka, Iwona; Dzwolak, Wojciech Beilstein Journal of Nanotechnology, Vol. 6 https://doi.org/10.3762/bjnano.6.4	journal	January 2015

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In-situ aerosol nanoparticle characterization by small angle X-ray scattering at ultra-low volume fraction Bauer, P. S.; Amenitsch, H.; Baumgartner, B. Nature Communications, Vol. 10, Issue 1 https://doi.org/10.1038/s41467-019-09066-4	journal	March 2019

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36 MATERIALS SCIENCE
aerosol
aggregate
colloid
fractal
fumed silica
small-angle x-ray scattering

Quantification of branching in fumed silica

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References (24)

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