Characterising latex particles and fractal aggregates using image analysis

Tang, Si; McFarlane, Caroline M.; Paul, Goutam; Thomas, C. R.

doi:10.1007/s003960050388

Cited by 17 publications

(11 citation statements)

References 1 publication

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The quality of the applied fitting relations for d f ) f(d pf ) and k f ) f(k pf ) or k f ) f(d f ) described above was estimated in the following two ways. In the first case, d f and k f were evaluated individually from d pf and k pf obtained from 2D projections of 58 (Figure 15) 9.6 × 10 -6 1.18 0.113 Tang et al 59 (Figure 4) b 1.2 × 10 -6 1.00 0.036 Tang et al 59 (Figures 7 and 8) 1.2 × 10 -6 1.16 0.118 Xiao et al 60 (Figure 8b) c 1.1 × 10 -6 1.10 0.078 Soos et al 13 (Figure 9) d 8.1 × 10 -7 1.20 0.123 Ehrl et al 61 6.0 × 10 -7 1.17 0.110 Soos et al 62 8.1 × 10 -7 1.16 0.091 Kilps et al 63 (Figure 2b) e 1.5 × 10 -4 1.43 0.179 Logan and Kilps 64 (Figure 1a and b) 9.2 × 10 -7 1.29 0.136 Tang et al 65 (Figure 1 and 2) f 2.0 × 10 -6 1.44 0.241 Drakopoulou et al 66 (Figure 1a 62 . The latter relation provided d p for Sterling SO.…”

Section: Mass and Perimeter Fractal Dimension And Scaling Prefactorsmentioning

confidence: 99%

Generation and Geometrical Analysis of Dense Clusters with Variable Fractal Dimension

2009

View full text Add to dashboard Cite

The generation and geometrical analysis of clusters composed of rigid monodisperse primary particles with variable fractal dimension, df, in the range from 2.2 to 3 are presented. For all generated aggregate populations, it was found that the dimensionless aggregate mass, i, and the aggregate size, characterized by the radius of gyration, Rg, normalized by the primary particle radius, Rp, follow a fractal scaling, i = kf(Rg/Rp)df. Furthermore, the obtained prefactor of the fractal scaling, kf, is related to df according to kf = 4.46df-2.08, which is in agreement with literature data. For cases when df cannot be directly determined from light scattering or confocal laser scanning microscopy, it can be estimated from its relation with a perimeter fractal dimension, dpf, or a chord fractal dimension, dcf, both obtained from 2D projection of aggregates. A relation between df and dpf of the form df = or-1.5dpf + 4.4 was developed by fitting data obtained in this work for 2.2 < df < 3 together with data of Lee and Kramer [Adv. Colloid Interface Sci. 2004, 112(1-3), 49-57] for 1.8 < df < 2.4. It was found that the method of determining df via dpf is very robust with respect to an artificially introduced blur. In contrary, a relation between df and dcf could only be established for the case of ideal optical analysis, while the introduction of blur results in a significant effect on the chord length distribution (and its moments), up to the point of impeding the evaluation of dcf. Hence, for compact aggregates, it is recommended to determine df from dpf by applying the proposed relation, which is valid in a broad range of df relevant for industrial praxis, with little effect of blur on it. Apart from scaling relations with respect to aggregate mass and size, it was found that the 3D quantities, i and Rg, can be directly related to the area squared over perimeter, A2/P, and the 2D radius of gyration, Rg,2D, respectively, which are obtained from 2D projections. In particular, the following two relations are provided: i = 4.5(A2/P)0.9 and Rg/Rp = 1.47 (Rg,2D/Rp)0.99.

show abstract

Section: Mass and Perimeter Fractal Dimension And Scaling Prefactorsmentioning

confidence: 99%

Generation and Geometrical Analysis of Dense Clusters with Variable Fractal Dimension

2009

View full text Add to dashboard Cite

show abstract

“…The two-slopes method was used for fractal dimension measurements (14)(15)(16). Particle size can be described using a size distribution function n(L), defined by d N = n(L) d L, where d N is the number of particles per unit volume with size in the range L to L + d L. The characteristic length L can be any scale measure of size, e.g., diameter, volume, and maximum or average length.…”

Section: Fractal Dimensionmentioning

confidence: 99%

“…Previous studies of latex aggregation have been done either on the aspect of size distributions (10-13) or on fractal natures (6,9,14). No result on disruption of latex aggregates by turbulent capillary flow has been reported yet.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Fractal Morphology and Breakage of DLCA and RLCA Aggregates

Tang

Preece

McFarlane

et al. 2000

Journal of Colloid and Interface Science

Self Cite

View full text Add to dashboard Cite

“…Furthermore, polymer nanoparticles will be used as building blocks for the nanoarchitecture of the future and for the tailoring of viable composite materials. [1][2][3][4] PTFE has attracted much attention because of its excellent frictional properties, chemical inertness, and environmental friendliness. [5][6][7] It has been employed as a matrix for polymer composites with a range of fillers and as material coating.…”

Section: Introductuonmentioning

confidence: 99%