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• W2083667540 abstract "The fractal concept, created by Mandelbrot, has important consequences for the development of physical chemistry. Starting from the idea of the non-integer Hausdorff dimension fractal mathematics is a powerful tool for the description of irregular structures and processes in physics and chemistry. The fractal dimension D is strictly only defined in the ranges of self-similarity and normally does not fall below the embedding dimension by more than one. But smaller values of D are possible, too, if subsets of the fractal object are treated (subfractal dimension). Furthermore, a fractal model for porous solids is presented, and it is shown that the value of surface area for fractal objects is a function of measuring approach. The dynamics of atoms and molecules in solids and at surfaces can be described using the fracton dimension Ds < D. Diffusion in a fractal system generally proceeds more slowly than in a normal one. It is stated that percolation is governed by fractal geometry. The formation of many aggregates can be described in terms of fractal geometry. The fractal reaction dimension Dr may help to understand problems in reaction kinetics. For the discussion of dissipative structures and chaotic reactions, too, the fractal concept gains importance." @default.
• W2083667540 created "2016-06-24" @default.
• W2083667540 creator A5057318515 @default.
• W2083667540 creator A5084456299 @default.
• W2083667540 date "2010-08-31" @default.
• W2083667540 modified "2023-09-27" @default.
• W2083667540 title "Fraktale in der physikalischen Chemie" @default.
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• W2083667540 doi "https://doi.org/10.1002/zfch.19880281202" @default.
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