Vibrations induced by different charged oxygen vacancies in quartz-like GeO2

We have studied local configurations and vibrations of oxygen vacancies in different charged states in α-quartz GeO2 by computer simulation. First-principles potential of the Buckingham type has been used in calculations. The investigation of the lattice dynamics in defective crystal is performed using the phonon local density of states. The calculation of the densities of states is facilitated with Lanczos recursion. Frequencies of localized vibrations induced by oxygen vacancies are determined.