Skip to main content
banner image
No data available.
Please log in to see this content.
You have no subscription access to this content.
No metrics data to plot.
The attempt to load metrics for this article has failed.
The attempt to plot a graph for these metrics has failed.
The full text of this article is not currently available.
/content/aip/journal/jcp/145/21/10.1063/1.4960953
1.
H. D. Bale and P. W. Schmidt, Phys. Rev. Lett. 53, 596 (1984).
http://dx.doi.org/10.1103/PhysRevLett.53.596
2.
M. H. Reich, S. P. Russo, I. K. Snook, and H. K. Wagenfeld, J. Colloid Interface Sci. 135, 353 (1990).
http://dx.doi.org/10.1016/0021-9797(90)90005-9
3.
P. Wong and A. J. Bray, J. Appl. Crystallogr. 21, 786 (1988).
http://dx.doi.org/10.1107/S0021889888004686
4.
P. Wong and A. Bray, Phys. Rev. Lett. 60, 1344 (1988).
http://dx.doi.org/10.1103/PhysRevLett.60.1344
5.
P. Wong and Q. Cao, Phys. Rev. B 45, 7627 (1992).
http://dx.doi.org/10.1103/PhysRevB.45.7627
6.
A. Y. Cherny, E. M. Anitas, V. A. Osipov, and A. I. Kuklin, Phys. Rev. E: Stat., Nonlinear, Soft Matter Phys. 84, 1 (2011).
http://dx.doi.org/10.1103/PhysRevE.84.036203
7.
P. W. Schmidt and X. Dacai, Phys. Rev. A 33, 560 (1986).
http://dx.doi.org/10.1103/PhysRevA.33.560
8.
S. K. Sinha, T. Freltoft, and J. Kjems, Kinet. Aggregation Gelation 19842, 87 (1984).
http://dx.doi.org/10.1016/B978-0-444-86912-8.50026-2
9.
T. Freltoft, J. K. Kjems, and S. K. Sinha, Phys. Rev. B 33, 269 (1986).
http://dx.doi.org/10.1103/PhysRevB.33.269
10.
S.-H. Chen and J. Teixeira, Phys. Rev. Lett. 57, 2583 (1986).
http://dx.doi.org/10.1103/PhysRevLett.57.2583
11.
J. Teixeira, J. Appl. Crystallogr. 21, 781 (1988).
http://dx.doi.org/10.1107/S0021889888000263
12.
J. Teixeira, Ferroelectrics 235, 231 (1999).
http://dx.doi.org/10.1080/00150199908214882
13.
K. D. Keefer and D. W. Schaefer, Phys. Rev. Lett. 56, 2376 (1986).
http://dx.doi.org/10.1103/PhysRevLett.56.2376
14.
D. W. Schaefer and K. D. Keefer, Phys. Rev. Lett. 56, 2199 (1986).
http://dx.doi.org/10.1103/PhysRevLett.56.2199
15.
P. Meakin, Annu. Rev. Phys. Chem. 39, 237 (1988).
http://dx.doi.org/10.1146/annurev.pc.39.100188.001321
16.
M. Y. Lin, H. M. Lindsay, D. A. Weitz, R. Klein, R. C. Ball, and P. Meakin, J. Phys.: Condens. Matter 2, 5283 (2002).
http://dx.doi.org/10.1088/0953-8984/2/23/521
17.
C. Oh and C. M. Sorensen, J. Aerosol Sci. 28, 937 (1997).
http://dx.doi.org/10.1016/S0021-8502(96)00488-0
18.
C. M. Sorensen and G. M. Wang, Phys. Rev. E: Stat. Phys., Plasmas, Fluids, Relat. Interdiscip. Top. 60, 7143 (1999).
http://dx.doi.org/10.1103/physreve.60.7143
19.
R. C. Ball, D. A. Weitz, T. A. Witten, and F. Leyvraz, Phys. Rev. Lett. 58, 274 (1987).
http://dx.doi.org/10.1103/PhysRevLett.58.274
20.
P. van Dongen and M. Ernst, Phys. Rev. Lett. 54, 1396 (1985).
http://dx.doi.org/10.1103/PhysRevLett.54.1396
21.
F. Pierce, C. M. Sorensen, and A. Chakrabarti, Phys. Rev. E: Stat., Nonlinear, Soft Matter Phys. 74, 1 (2006).
http://dx.doi.org/10.1103/PhysRevE.74.021411
22.
B. Mandelbrot, Science 156, 636 (1967).
http://dx.doi.org/10.1126/science.156.3775.636
23.
T. Koga, T. Hashimoto, M. Takenaka, K. Aizawa, N. Amino, M. Nakamura, D. Yamaguchi, and S. Koizumi, Macromolecules 41, 453 (2008).
http://dx.doi.org/10.1021/ma071867l
24.
M. K. Ridley, V. A. Hackley, and M. L. Machesky, Langmuir 22, 10972 (2006).
http://dx.doi.org/10.1021/la061774h
25.
M. Kolb and H. J. Herrmann, Phys. Rev. Lett. 59, 454 (1987).
http://dx.doi.org/10.1103/PhysRevLett.59.454
26.
J. F. Lutsko and G. Nicolis, Phys. Rev. Lett. 96, 46102 (2006).
http://dx.doi.org/10.1103/PhysRevLett.96.046102
27.
J. F. Lutsko, J. Chem. Phys. 136, 34509 (2012).
http://dx.doi.org/10.1063/1.3677191
28.
T. M. Stawski, A. E. S. van Driessche, M. Ossorio, J. Diego Rodriguez-Blanco, R. Besselink, and L. G. Benning, Nat. Commun. 7, 11177 (2016).
http://dx.doi.org/10.1038/ncomms11177
29.
M. Niederberger and H. Cölfen, Phys. Chem. Chem. Phys. 8, 3271 (2006).
http://dx.doi.org/10.1039/B604589H
30.
F. Nindiyasari, L. Fernández-Díaz, E. Griesshaber, J. M. Astilleros, N. Sánchez-Pastor, and W. W. Schmahl, Cryst. Growth Des. 14, 1531 (2014).
http://dx.doi.org/10.1021/cg401056t
31.
B. Pokroy, L. Kabalah-Amitai, I. Polishchuk, R. T. Devol, A. Z. Blonsky, C. Y. Sun, M. A. Marcus, A. Scholl, and P. U. P. A. Gilbert, Chem. Mater. 27, 6516 (2015).
http://dx.doi.org/10.1021/acs.chemmater.5b01542
32.
C. S. Frazer, E. C. Dickey, and A. Sayir, J. Cryst. Growth 233, 187 (2001).
http://dx.doi.org/10.1016/S0022-0248(01)01590-1
33.
R. L. Owen and E. Garman, Acta Crystallogr., Sect. D: Biol. Crystallogr. 61, 130 (2005).
http://dx.doi.org/10.1107/S0907444904029567
34.
R. A. Gosavi, V. Bhamidi, S. Varanasi, and C. A. Schall, Langmuir 25, 4579 (2009).
http://dx.doi.org/10.1021/la803185m
35.
A. J. Malkin, Y. G. Kuznetsov, and A. McPherson, J. Struct. Biol. 117, 124 (1996).
http://dx.doi.org/10.1006/jsbi.1996.0077
36.
J. Blanchard, F. Ribot, C. Sanchez, P.-V. Bellot, and A. Trokiner, J. Non-Cryst. Solids 265, 83 (2000).
http://dx.doi.org/10.1016/S0022-3093(99)00885-6
37.
C. M. Sorensen, Aerosol Sci. Technol. 35, 648 (2001).
http://dx.doi.org/10.1080/02786820117868
38.
C. M. Sorensen, J. Cai, and N. Lu, Langmuir 8, 2064 (1992).
http://dx.doi.org/10.1021/la00044a029
39.
L. A. Feigin and D. I. Svergun, “Structure Analysis by Small-Angle X-ray and Neutron Scattering” (Plenum Press, New York, 1987).
40.
A. Guinier and G. Fournet, Small Angle Scattering of X-Rays (John Wiley and Sons Inc., New York, 1955).
41.
P. Debye, R. Anderson, and H. Brumberger, J. Appl. Phys. 28, 679 (1957).
http://dx.doi.org/10.1063/1.1722830
42.
J. S. Pedersen, Adv. Colloid Interface Sci. 70, 171 (1997).
http://dx.doi.org/10.1016/S0001-8686(97)00312-6
43.
P. Pfeifer, D. Avnir, and D. Farin, J. Stat. Phys. 36, 699 (1984).
http://dx.doi.org/10.1007/BF01012933
44.
L. Körösi, S. Papp, I. Bertóti, and I. Dékány, Chem. Mater. 19, 4811 (2007).
http://dx.doi.org/10.1021/cm070692r
45.
A. Montesinos-Castellanos, E. Lima, J. A. de los Reyes H, and V. Lara, J. Phys. Chem. C 111, 13898 (2007).
http://dx.doi.org/10.1021/jp073232u
46.
W. M. Haynes, CRC Handbook of Chemistry and Physics, 92nd ed. (CRC Press, 2011).
47.
G. Porod, in Small Angle X-Ray Scattering, edited by O. Glatter and O. Kratky (Academic Press London Ltd., New York, 1982), pp. 1751.
48.
B. Mandelbrot, in Fractal Geometry of Nature, 2nd ed., edited by B. Mandelbrot (W. H. Freeman and Co., New York, 1982), pp. 3457.
http://aip.metastore.ingenta.com/content/aip/journal/jcp/145/21/10.1063/1.4960953
Loading
/content/aip/journal/jcp/145/21/10.1063/1.4960953
Loading

Data & Media loading...

Loading

Article metrics loading...

/content/aip/journal/jcp/145/21/10.1063/1.4960953
2016-08-17
2016-09-29

Abstract

Densely packed surface fractal aggregates form in systems with high local volume fractions of particles with very short diffusion lengths, which effectively means that particles have little space to move. However, there are no prior mathematical models, which would describe scattering from such surface fractal aggregates and which would allow the subdivision between inter- and intraparticle interferences of such aggregates. Here, we show that by including a form factor function of the primary particles building the aggregate, a finite size of the surface fractal interfacial sub-surfaces can be derived from a structure factor term. This formalism allows us to define both a finite specific surface area for fractal aggregates and the fraction of particle interfacial sub-surfaces at the perimeter of an aggregate. The derived surface fractal model is validated by comparing it with an approach that involves the generation of a “brick-in-a-wall” type contour fractals. Moreover, we show that this approach explains observed scattering intensities from experiments that followed gypsum (CaSO ⋅ 2HO) precipitation from highly supersaturated solutions. Our model of densely packed “brick-in-a-wall” surface fractal aggregates may well be the key precursor step in the formation of several types of mosaic- and meso-crystals.

Loading

Full text loading...

/deliver/fulltext/aip/journal/jcp/145/21/1.4960953.html;jsessionid=M-A2lOVNo0tVCfGeTuazORKX.x-aip-live-03?itemId=/content/aip/journal/jcp/145/21/10.1063/1.4960953&mimeType=html&fmt=ahah&containerItemId=content/aip/journal/jcp
true
true

Access Key

  • FFree Content
  • OAOpen Access Content
  • SSubscribed Content
  • TFree Trial Content
752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
/content/realmedia?fmt=ahah&adPositionList=
&advertTargetUrl=//oascentral.aip.org/RealMedia/ads/&sitePageValue=jcp.aip.org/145/21/10.1063/1.4960953&pageURL=http://scitation.aip.org/content/aip/journal/jcp/145/21/10.1063/1.4960953'
Right1,Right2,Right3,