Abstract
In this paper, a lattice theoretical approach to the structure and dynamics of crystal edges is presented. The relaxation of infinite quadratic bars is investigated in detail using various lattice-dynamical models. The phonon spectra of the bars have been calculated and phonon modes have been found which are strongly localized at the tips of the four edges of the bar. Our results obtained in the framework of lattice dynamics are compared with investigations based on continuum theory in the long-wavelength limit.
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