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Fractal Geometry of Element Distribution on Mineral Surfaces

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Abstract

Fractal models have been established for the distributions of Au, As, S, Fe, and Si on mineral surface based on perimeter–area power-law association observed in mineral samples from fine-disseminated gold deposits at Jinya (JY), Larima (LRM), and Dongbeizhai (DBZ). The fractal index DAL, involved in the fractal perimeter–area relationship is a function of the formation conditions of the mineral. Minerals formed at higher temperatures have a larger value of DAL. For the same mineral, the values of DAL obtained for different elements are approximately the same. DAL may serve as a quantitative index characterizing the distribution configuration of elements on mineral surface.

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Zheru, Z., Huahai, M. & Cheng, Q. Fractal Geometry of Element Distribution on Mineral Surfaces. Mathematical Geology 33, 217–228 (2001). https://doi.org/10.1023/A:1007587318807

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