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  3. Levitated optomechanics in vacuum has shown promise for fundamental tests of physics including quantum mechanics and gravity, for sensing weak forces or accelerations, and for precision measurements. While much research has focused on optical trapping of dielectric particles, other approaches, such as magnetic trapping of diamagnetic particles, have been gaining interest. Here we review geometries for both optical and magnetic trapping in vacuum, with an emphasis on the properties of traps for particles with a diameter of at least one micrometer. 
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