Original scientific paper

Fractal Effects in Magnetic Resonance

Robert Blinc ; J. Stefan Institute, University of Ljubljana, Slovenia
Gojmir Lahajnar ; J. Stefan Institute, University of Ljubljana, Slovenia
Aleksander Zidanšek ; J. Stefan Institute, University of Ljubljana, Slovenia

Abstract

Effects of fractal structure on the magnetic resonance phenomena are discussed. Fractal theory is a mathematical tool used to describe geometrically complex disordered systems. In principle, one can get characteristic information about a fractal system via measurements of the relevant spectroscopic parameters, which are related to the fractal structure and fractal dynamics. Here, it is demonstrated that the surface fractal dimension, frac- ton dimension and the random walk dimension can be measured by means of nuclear magnetic resonance and electron paramagnetic resonance spectroscopy. It is further shown that nuclear magnetic resonance relaxation data allow determination of the non-exponential correlation functions, which reveal the fractal structure of the potential and of the corresponding free energy. The concept of the time fractal sequences of events, leading to the stretched exponential correlation functions, is also discussed.

Keywords

Hrčak ID:

137186

URI

https://hrcak.srce.hr/137186

Publication date:

15.8.1992.

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