1998
DOI: 10.1021/la9703757
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On the Density and Structure Formation in Gels and Clusters of Colloidal Rods and Fibers

Abstract: Structures of gels and clusters of disordered rods and fibers are described by scaling relations for a homogeneous random fiber network and a heterogeneous (that is, fractal) fiber structure. Both models relate the gel density to the particle shape. It is shown that gel densities for attractive colloid rods (iron hydroxide, clay minerals) are often too low to fill space with a homogeneous microstructure. Space filling with heterogeneous rod clusters allows for a very low solid content due to a combination of h… Show more

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Cited by 112 publications
(95 citation statements)
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“…The maximum filament length observed in fibers was only 1.5 m, and the average length was 0.67 m. Thus, to a first approximation, the filaments can be considered rigid or at least relatively inflexible. The decrease in packing density in fibers associated with MSP filament elongation is consistent with the packing behavior of rigid (15)(16)(17) or semiflexible (18) rods, in which the maximum packing density decreases with increasing aspect ratio (length/diameter), so that longer rods pack less densely than shorter ones (15)(16)(17).…”
Section: Electron Tomography Indicates That Msp Filaments Pack Like Rsupporting
confidence: 73%
See 1 more Smart Citation
“…The maximum filament length observed in fibers was only 1.5 m, and the average length was 0.67 m. Thus, to a first approximation, the filaments can be considered rigid or at least relatively inflexible. The decrease in packing density in fibers associated with MSP filament elongation is consistent with the packing behavior of rigid (15)(16)(17) or semiflexible (18) rods, in which the maximum packing density decreases with increasing aspect ratio (length/diameter), so that longer rods pack less densely than shorter ones (15)(16)(17).…”
Section: Electron Tomography Indicates That Msp Filaments Pack Like Rsupporting
confidence: 73%
“…The organization of MSP filaments in fibers resembles that produced by random packing of rigid rods on both macro-and microscales (15)(16)(17)(18). The MSP filament persistence length, measured from electron micrographs of negatively stained filaments assembled from purified protein, was Ϸ9 m (SI Text).…”
Section: Electron Tomography Indicates That Msp Filaments Pack Like Rmentioning
confidence: 99%
“…There are three possible scenarios: (i) the formation of bundles of average size N ; (ii) chain formation, where N aligned nanotubes overlap minimally at their ends; and (iii) the formation of a heterogeneous network of fractal aggregates. 57,62,67 In our system, all three effects presumably exist. Bundle formation reduces the aspect ratio to λ ′ = λ/ √ N in Eq.…”
Section: B Scaling Electronic Type and Film Durabilitymentioning
confidence: 87%
“…The packing of such rods can be modeled by assuming independent and pair-wise additive contacts. 56,57 This works for large-aspect-ratio rods (> 15), colloidal rods, and macroscopic (> 1 cm) fibers. 56 The orientational average of the excluded volume of a pair of randomly oriented rods gives the so-called 'random-contact' equation of state…”
Section: B Scaling Electronic Type and Film Durabilitymentioning
confidence: 99%
“…An example of such a shape effect is the formation of spacefilling gels of randomly oriented rodlike particles at very low solid contents. 1 This space-filling efficiency is exploited by biological cells, which possess a tough elastic framework of rodlike macromolecules, called the cytoskeleton, which provides structural stability while also providing sufficient porosity to allow transport of proteins and organelles within the cell cytoplasm. Another striking shape anisotropy effect is the large viscosity of rod 2 and plate 3 suspensions at very low volume fractions, which makes anisometric particles and macromolecules widely applied additives to control the flow properties of industrial and commercial particle suspensions.…”
Section: Introductionmentioning
confidence: 99%