Abstract
Lattice dynamical calculations have been performed for a superconducting oxide spinel LiTi 2O 4 by using the proposed theoretical model. In this model, the short-range force constant is calculated by using the Taylor's expansion of the potential energy in the harmonic approximation. This model is applied to study the infrared and Raman phonon modes in the superconducting oxide spinel at the first Brillouin zone-centre. The significant outcome of the present work is that the tetrahedral force constants are smaller than the octahedral ones. The zone-centre phonon frequencies, thus calculated using these parameters, are found to be in a good agreement with the experimental results.
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