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Brownian Motion: Theory and Experiment:: A simple Classroom Measurement of the Diffusion Coefficient

Kasturi Basu·Kopinjol Baishya
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Abstract

Brownian motion is the perpetual irregular motion exhibited by small particles immersed in a fluid. Such random motion of the particles is produced by statistical fluctuations in the collisions they suffer with the molecules of the surrounding fluid. Brownian motion of particles in a fluid (like milk particles in water) can be observed under a microscope. Here we describe a simple experimental set-up to observe Brownian motion and a method of determining the diffusion coefficient of the Brownian particles, based on a theory due to Smoluchowski. While looking through the microscope we focus attention on a fixed small volume, and record the number of particles that are trapped in that volume, at regular intervals of time. This gives us a time-series data, which is enough to determine the diffusion coefficient of the particles to a good degree of accuracy.

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Kasturi Basu, Kopinjol Baishya. 2003-03-16. Brownian Motion: Theory and Experiment:: A simple Classroom Measurement of the Diffusion Coefficient. https://arxiv.org/abs/physics/0303064

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