Measuring densities of solids and liquids using magnetic levitation: Fundamentals

This paper describes an analytical system that uses magnetic levitation to measure densities of solids and water-immiscible organic liquids with accuracies ranging from ±0.0002 to ±0.02 g/cm³, depending on the type of experiment. The technique is compatible with densities of 0.8-3 g/cm³ and is applicable to samples with volumes of 1 pL to 1 mL; the samples can be either spherical or irregular in shape. The method employs two permanent NdFeB magnets positioned with like poles facing one another - with the axis between the poles aligned with the gravitational field - and a container filled with paramagnetic medium (e.g., MnCl₂ dissolved in water) placed between these magnets. Density measurements are obtained by placing the sample into the container and measuring the position of the sample relative to the bottom magnet. The balance of magnetic and gravitational forces determines the vertical position of the sample within the device; knowing this position makes it possible to calculate the density of the sample.