Shear modulus of two-dimensional colloidal crystals

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2002 EDP Sciences
, , Citation A. Wille et al 2002 EPL 57 219 DOI 10.1209/epl/i2002-00564-y

0295-5075/57/2/219

Abstract

A new method for the determination of elastic constants of colloidal systems is described. We study super-paramagnetic microspheres confined by gravity to a two-dimensional layer at a water-air interface. Under an external vertical magnetic field the particles arrange in a crystalline triangular phase because of the repulsive dipole-dipole interaction. By use of an optical tweezer, one triangle formed by three spheres is rotated from its equilibrium position and the relaxation time measured using video-microscopy. We demonstrate that this time is directly related to the shear modulus μ of the crystal and study μ as a function of the magnetic particle interaction strength.

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10.1209/epl/i2002-00564-y