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In this research, formation of finite two-dimensional (2D) plasma crystalswas numerically simulated. The structure was investigated for systems withvarious Debye length and it was found there is a transition from a completehexagonal structure to a structure with concentric rings on the outer edge andhexagonal lattice in the interior as the Debye length increases. The verticalas well as horizontal oscillation modes thermally excited in the 2D dustcoulomb clusters were investigated. The horizontal mode spectra is shown toagree with published results while the vertical mode spectra obtained fromnumerical simulation and analytical method agree with one another. Thefrequency of the vertical modes is shown to have a maximum corresponding to thewhole system acting as a solid plane. For low frequency modes, the largestamplitude particle motion is concentrated in a few inner rings with the outerrings remaining almost motionless in contrast to the horizontal modes for whichthe strongest motion of the particles is concentrated in the inner rings athigh frequencies.

Structure and Vertical Modes in Finite 2D Plasma Crystals