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Shear modulus of two-dimensional colloidal crystals
Author(s) -
Ada Wille,
F Valmont,
K. Zahn,
G. Maret
Publication year - 2002
Publication title -
epl (europhysics letters)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.625
H-Index - 165
eISSN - 1286-4854
pISSN - 0295-5075
DOI - 10.1209/epl/i2002-00564-y
Subject(s) - shear modulus , materials science , spheres , dipole , condensed matter physics , colloid , paramagnetism , shear (geology) , optical tweezers , magnetic field , optics , composite material , physics , chemistry , quantum mechanics , astronomy
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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