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The Relation Between Elastic and Total Scatterings from Fractals

The ratio of the elastic and total scattering intensities is studied for fractals of dimension range widely. The results show that it oscillatorily decays with a quantity where is the absolute value of the momentum transfer and the average distance between the nearest neighbor sites of scatters in fractal objects. The locations of valleys and peaks of are only dependent on fractal dimensions. However, the dependence is very beak and is almost a constant varying in the range of only several percent for widely different fractal dimensions.