Diffusional coagulation of superparamagnetic particles in the presence of an external magnetic field

Scarlet Relle; Stanley B. Grant; Costas Tsouris

doi:10.1016/S0378-4371(99)00100-4

Diffusional coagulation of superparamagnetic particles in the presence of an external magnetic field

Scarlet Relle, Stanley B. Grant, Costas Tsouris

Chemical Process Scale Up

Research output: Contribution to journal › Article › peer-review

11 Scopus citations

Abstract

In this paper, we investigate the diffusional coagulation of colloidal superparamagnetic (SP) latex particles that are under the influence of an external magnetic field. The cluster size distributions (CSDs) that evolve with time were determined using an optical set-up that permits the direct visualization of particle clusters. Following the dynamic scaling analysis of van Dongen and Ernst (Phys. Rev. Lett. 54 (1985) 1396), we find that the CSDs all collapse onto a master curve when properly scaled. The bell-shape of this master curve indicates that large clusters preferentially scavenge small clusters in our system. From the time evolution of the average cluster size we infer that the reactivity between large clusters diminishes with increasing cluster size. These results are consistent with a simple mathematical formulation of the coagulation rate constant, or kernel, for the Brownian coagulation of magnetic particles. Moreover, our results support a growing body of evidence that the dynamic scaling theory developed by van Dongen and Ernst is a useful framework with which to study the microscale processes governing particle coagulation.

Original language	English
Pages (from-to)	427-443
Number of pages	17
Journal	Physica A: Statistical Mechanics and its Applications
Volume	270
Issue number	3
DOIs	https://doi.org/10.1016/S0378-4371(99)00100-4
State	Published - Aug 15 1999

Funding

Support for this work was provided to SBG by an NSF Career Award (BES-9502493), and to CT by the Division of Chemical Sciences, Office of Basic Energy Sciences, U.S. Department of Energy. The authors would like to thank the Institute for Rock Magnetism (IRM) at the University of Minnesota for hosting SR as a Visiting Student Fellow. Jim Marvin, Mike Jackson, and Bruce Moskowitz at the IRM are thanked for guidance and stimulating discussions. Some of the experiments were conducted at the Oak Ridge National Laboratory, which is managed by Lockheed Martin Energy Research Corp. under contract DE-AC05-96OR22464 with the U.S. Department of Energy.

Funders	Funder number
Division of Chemical Sciences
Lockheed Martin Energy Research Corp.	DE-AC05-96OR22464
National Science Foundation	BES-9502493
U.S. Department of Energy
Basic Energy Sciences

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abstract = "In this paper, we investigate the diffusional coagulation of colloidal superparamagnetic (SP) latex particles that are under the influence of an external magnetic field. The cluster size distributions (CSDs) that evolve with time were determined using an optical set-up that permits the direct visualization of particle clusters. Following the dynamic scaling analysis of van Dongen and Ernst (Phys. Rev. Lett. 54 (1985) 1396), we find that the CSDs all collapse onto a master curve when properly scaled. The bell-shape of this master curve indicates that large clusters preferentially scavenge small clusters in our system. From the time evolution of the average cluster size we infer that the reactivity between large clusters diminishes with increasing cluster size. These results are consistent with a simple mathematical formulation of the coagulation rate constant, or kernel, for the Brownian coagulation of magnetic particles. Moreover, our results support a growing body of evidence that the dynamic scaling theory developed by van Dongen and Ernst is a useful framework with which to study the microscale processes governing particle coagulation.",

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AB - In this paper, we investigate the diffusional coagulation of colloidal superparamagnetic (SP) latex particles that are under the influence of an external magnetic field. The cluster size distributions (CSDs) that evolve with time were determined using an optical set-up that permits the direct visualization of particle clusters. Following the dynamic scaling analysis of van Dongen and Ernst (Phys. Rev. Lett. 54 (1985) 1396), we find that the CSDs all collapse onto a master curve when properly scaled. The bell-shape of this master curve indicates that large clusters preferentially scavenge small clusters in our system. From the time evolution of the average cluster size we infer that the reactivity between large clusters diminishes with increasing cluster size. These results are consistent with a simple mathematical formulation of the coagulation rate constant, or kernel, for the Brownian coagulation of magnetic particles. Moreover, our results support a growing body of evidence that the dynamic scaling theory developed by van Dongen and Ernst is a useful framework with which to study the microscale processes governing particle coagulation.

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Diffusional coagulation of superparamagnetic particles in the presence of an external magnetic field

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