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  Home > JCE Print > Journal of Chemical Education > Issues > 2005  > November  >
In the Classroom
Displacements of Brownian Particles in Terms of Marian von Smoluchowski's Heuristic Model
Hermann Klein
Institut fül Raumsimulation, Deutsches Zentrum für Luft- und Raumfahrt, Linder Höhe, 51147 Köln, Germany

Dietrich Woermann
Institut für Physikalische Chemie, Universität Köln, 50939 Köln, Germany

Cover
November 2005
Vol. 82 No. 11
p. 1642
Abstract
The introductory section of Marian von Smoluchowski's seminal publication on the kinetics of Brownian motion (Ann. Physik 1906, 21, 756) includes a simple model that provides lucid access to the topic. The present contribution is intended to draw attention to this model. On its basis, an expression is derived that allows the calculation of the mean displacement Brownian particles undergo.
Supplement
Derivation of eq 6 for even and uneven values of n is available.
*  Contents JCE2005p1642W.doc (Microsoft Word)
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*  Citation
 Klein, Hermann; Woermann, Dietrich. J. Chem. Educ. 2005 82 1642.
*  Keywords
 Colloids; Graduate Education / Research; Kinetic-Molecular Theory; Liquids; Physical Chemistry; Second-Year Undergraduate; Statistical Mechanics; Thermodynamics; Upper-Division Undergraduate
*  History
 Created:
Last Updated:		 September 22, 2005
November 1, 2005
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