One most commonly thinks of refraction occurring when light strikes at an angle to an interface separating two regions with different refractive indices. However, a light ray traveling normal to such an interface will also be refracted, if the second region has a refractive index gradient parallel to the interface plane. If liquid–liquid interdiffusion produces such a gradient in the second region, then one can infer the diffusivity of solute particles by measuring the time-dependent refraction. We have performed such diffusion experiments with three different aqueous solutions and found reasonably good agreement with diffusivity values given in the literature. The experimental setup and data analysis are simple enough for an undergraduate student to complete in a few weeks, making this investigation ideal for inclusion in an advanced laboratory course.
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July 2001
NOTES AND DISCUSSIONS|
July 01 2001
Using refractive index gradients to measure diffusivity between liquids
C. Gaffney;
C. Gaffney
Department of Physics, California State University Chico, Chico, California 95929
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Cheuk-Kin Chau
Cheuk-Kin Chau
Department of Physics, California State University Chico, Chico, California 95929
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Am. J. Phys. 69, 821–825 (2001)
Article history
Received:
May 17 2000
Accepted:
September 12 2000
Citation
C. Gaffney, Cheuk-Kin Chau; Using refractive index gradients to measure diffusivity between liquids. Am. J. Phys. 1 July 2001; 69 (7): 821–825. https://doi.org/10.1119/1.1328350
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