The lattice dynamics of the high-temperature superconductor Tl 2 CaBa 2 Cu 2 O 8 has been investigated on the basis of the three-body-force shell model (TSM). The various interactions between ions are treated in a general way without making them numerically equal. The phonon frequency at the zone centre of Brillouin zone are presented and the vibrational assignments are discussed. Further, a normal coordinate calculation has also been employed to study the vibrational analysis of this compound. The normal coordinate analysis of the superconductor Tl 2 CaBa 2 Cu 2 O 8 has been calculated by using Wilson's F-G matrix method which is useful for the confirmation of our present investigation. The vibrational frequencies and the potential energy distribution (PED) of the optically active phonon modes are also presented.
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