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We have measured the ac conductivity and dielectric spectra for La2-xYxMo2O9 (0.05 ≤ x ≤ 0.20) in wide temperature and frequency ranges. We have obtained the mean square displacement and the spatial extent of nonrandom sub-diffusive regions for oxygen ions by analyzing the ac conductivity and dielectric spectra respectively. The structure of the samples has been studied using X-ray photoelectron spectra, X-ray and electron diffraction. It is observed that the composition dependence of these characteristic lengths is correlated with the distance between oxygen ions obtained from structural studies.