The Interpretation of Abnormalities in the Log-Normal Distribution of Particle Size

Irani, R. R.

doi:10.1021/j150580a010

Cited by 33 publications

(14 citation statements)

References 3 publications

(3 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…It has been suggested that distribution of particle size, particularly in processes of growth, usually obeys a log-normal distribution. 26 As shown in Figure 2a, the experimental distribution data fits nicely to a log-normal distribution, with a mean diameter of 42.6 nm, which is in line with the mean particle size of 33 nm as derived from the TEM image ( Figure 1). Light scattering depending on the wavelength used tends to give a larger average size than those of TEM results since a significantly larger measurement error is encountered in particle approaching critical size accounting for the observed size discrepancy.…”

Section: Resultssupporting

confidence: 81%

Assembly of Superparamagnetic Nanoparticles under Unidirectional External Magnetic Flux: Experimental and Model Establishments

Yiu

Tang

et al. 2008

J. Phys. Chem. C

View full text Add to dashboard Cite

Recent development in assembling nanoparticles as building blocks into macroscopic functional structures or devices to harness the size-dependent properties of individual particles is an exciting new direction. Here, it is demonstrated that well-dispersed silica-encapsulated superparamagnetic FePt nanoparticles in solution can be assembled into high-quality, needle-or rod-shaped solid-state supercrystals by applying inhomogeneous external magnetic field together with controlled evaporation. By use of an aggregation model based on the population balance equation technique, this charactersitic morphology of the magnetic asembled crystals can be successfully derived.

show abstract

Section: Resultssupporting

confidence: 81%

Assembly of Superparamagnetic Nanoparticles under Unidirectional External Magnetic Flux: Experimental and Model Establishments

Yiu

Tang

et al. 2008

J. Phys. Chem. C

View full text Add to dashboard Cite

show abstract

“…According to Irani [1,6], because of the removal of coarse/fine powders, the data points in a probability paper plot asymptotically approach a line parallel to the abscissa (the probability scaled axis), rather than fall onto a straight line as expected.…”

Section: Artificial Distributionmentioning

confidence: 99%

“…To eliminate or minimize the effect of removal of coarse/fine powders, Irani [1,6] suggested that the total weight should be a value greater than the weight of the corresponding truncated distribution. To determine this value, a reiteration method is employed: assuming a total weight, converting weight into weight percentage based on the assumed total weight, then graphing the converted weight percentage on a probability paper plot versus powder size, and assuming a new total weight and so on, until the data graphed on the probability paper plot satisfactorily fall onto a straight line.…”

Section: Artificial Distributionmentioning

confidence: 99%

“…Equations (l)-(8) correlate powder size with probability (equation (1)), or cumulative weight percentage under size (equations (6) and (8)). Experimental data, however, are absolute weight and powder size (refer to Table 1).…”

Section: Mathematical Formulationmentioning

confidence: 99%

“…It is evident that equation (11) is, at least, as complex as equation (6). The practical usefulness of equation (11) relies on the availability of a quick and effective method to curve fit the experimental data using this equation.…”

Section: Realization Of Curve Fittingmentioning

confidence: 99%

See 2 more Smart Citations

Theoretical Analysis of Powder Size Distribution

Lavernia¹

1997

View full text Add to dashboard Cite

Puouc -poorting curaen 'or this .oiieaion ot information 'S estimated to average l «our per resoor.se. including tne time tor reviewing instructions, searcmng ensung aata sources, jithering and maintaining the data needea. and completing ana reviewing the collection of information Send comments regarding this Burden estimate or any other asoect of this collection )f information including suggestions tor reducing this ouroen to Washington Headquarters Services. Directorate tor information Operations and Reports. 1215 jefferson DAVIS Highway Suite 1204 Arlington /a 22202-1302. and to the Office of Management and Budget. Paperwork Reduction Proiect(0704-Oi88). Washington, OC 20503.

show abstract

Particle size distribution in polymer solutions

Maurer

1963

J. Polym. Sci. A Gen. Pap.

View full text Add to dashboard Cite

Log‐normal particle size distributions in polymer solutions have been measured with the Coulter counter. Qualitative membrane diffusion measurements were performed to substantiate the presence in these solutions of particles in the micron size range. Particle size was found to be dependent upon the thermal history of a polymer solution and upon the shearing forces to which it had been subjected. Further, particle size decreased upon dilution of a polyelectrolyte solution or upon an increase in the salt content. It is concluded that polymeric aggregates are the species being counted. These aggregates apparently originated during the polymerization of the polystyrene or of the styrene maleic anhydride studied. Bimodal distributions were observed in polystyrene solutions and in polystyrene sulfonate (Na+) solutions. The latter bimodal systems were resolved by graphical means, and it was found that the two populations are present in the ratio 65:35. The two distributions have the same dispersions (0.04) and only slightly different means (3.7 versus 4.5 microns). The mechanism of formation of this bimodal system may be that proposed by van der Hoff; namely, that particles are formed consecutively in the micellar and in the aqueous phase of an emulsion polymerization system when the soap concentration is near the critical micelle concentration.

show abstract

The Interpretation of Abnormalities in the Log-Normal Distribution of Particle Size

Cited by 33 publications

References 3 publications

Assembly of Superparamagnetic Nanoparticles under Unidirectional External Magnetic Flux: Experimental and Model Establishments

Assembly of Superparamagnetic Nanoparticles under Unidirectional External Magnetic Flux: Experimental and Model Establishments

Theoretical Analysis of Powder Size Distribution

Particle size distribution in polymer solutions

Contact Info

Product

Resources

About