The local vibrational spectra of Cu crystals containing vacancies were calculated using the pair atomic potential derived in the framework of the resonance pseudopotential theory. The calculations were performed by a recursive method with due regard for the

symmetry of the defect region. The frequencies of the vacancy-induced resonance vibrations of different symmetries were determined.

Calculation of the Vibrational Spectra of Copper Crystals with Vacancies. A.N.Kislov, V.G.Mazurenko, K.N.Korzov: Physics of the Solid State, 2003, 45[4], 610-4