# An Introduction to Refractometry

You’ve lost the key to your locker in the swimming pool. You spot it lying on the bottom of the shallow part of the pool, reach in to take it – and your hand misses. The refraction of light at the boundary of two different materials can be explained as easily as that. If the swimming pool was filled with salt water, the image of the key would have been shifted even more. Light moves at different speeds in materials of different densities.

In a vacuum, it reaches 299,792,458 m/s, however in water “only” 225,000,000 m/s. If a ray of light with a defined wavelength strikes a boundary between one medium to another at a fixed angle, the angle of the ray will change according to the refractive indices of the media. Snell’s law describes this phenomenon:

n1 · sinØ1 = n2 · sinØ2

where Ø1 is angle a and Ø2 is angle b.

Under constant conditions with known material properties, the formula can be manipulated to calculate the refractive index of an unknown second medium. The angle of incidence and angle of refraction can be measured, the refractive index of one of the materials (the prism of the refractometer) is known, and so, after adjusting the formula, the refractive index of the unknown material is a matter of simple mathematics.

Measurement of the refractive index depends on the temperature and wavelength of the light. Determination of the refractive index can provide information on the purity of a substance, but not its exact composition. The refractive index of water at 20°C is 1.33. Ice has a refractive index of 1.31.

Adding sugar to pure water changes the refractive index, depending on the amount added. Adding salt changes the refractive index as well, but in relation to the concentration.

This means that if pure water at 20°C does not have a refractive index of 1.33, it has been “polluted” with some other material. As a rule, determining the refractive index of a substance is a quick and reliable check of its purity.

Sun flower oil diluted with cheaper oil can be detected just as easily as the sugar content of marmalade during the production process.

Another example: cyclohexane at 20°C has the same refractive index as a 52.9% sugar solution. This shows that no statements on the composition or possible admixture of a substance can be made without knowing exactly what it is.

Temperature is one of the greatest factors which can influence the refractive index. Each substance reacts differently and specifically to temperature.

40 Bx Treacle (0.00015 per °C)

 Temperature Refractive Index 20.0°C 1.39986 20.1°C 1.39985 21.0°C 1.39971

Paraffine Oil (0.00036 per °C)

 Temperature Refractive Index 20.0°C 1.48001 20.1°C 1.47825 21.0°C 1.47644

A temperature-corrected scale in a refractometer must always be specific to a substance, and can never be considered to be universal.

This information has been sourced, reviewed and adapted from materials provided by A.KRÜSS Optronic GmbH.

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