Three-dimensional finite systems of charged dust particles confined to concentric spherical shells in a dusty plasma, so-called "Yukawa balls", have been studied with respect to their static and dynamic properties. Here, we review the charging of particles in a dusty plasma discharge by computer simulations and the respective particle arrangements. The normal mode spectrum of Yukawa balls is measured from the 3D thermal Brownian motion of the dust particles around their equilibrium positions.
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