Multifractal properties of polycrystalline gold films

Peter E. Strizhak; Boris A. Snopok; Taras Melnik; Ekaterina V. Kostyukevich; Sergei I. Lysenko; Peter E. Shepeliavii; Sergei L. Priatkin; Sergey A. Kostyukevych; Yuri M. Shirshov; Evgenie F. Venger

doi:10.1117/12.370427

18 November 1999 Multifractal properties of polycrystalline gold films

Peter E. Strizhak, Boris A. Snopok, Taras Melnik, Ekaterina V. Kostyukevich, Sergei I. Lysenko, Peter E. Shepeliavii, Sergei L. Priatkin, Sergey A. Kostyukevych, Yuri M. Shirshov, Evgenie F. Venger

Author Affiliations +

Proceedings Volume 3904, Fourth International Conference on Correlation Optics; (1999) https://doi.org/10.1117/12.370427
Event: International Conference on Correlation Optics, 1999, Chernivsti, Ukraine

Abstract

Multifractal analysis is performed for description of the surface topography of thin polycrystalline gold film. The film was obtained by thermal evaporation in vacuum. Its structure was modified by annealing at different temperatures in the range 20 - 200 degree(s)C. All films were imaged by Atomic Force Microscopy. Image was analyzed as a collection of layers taken parallel to the mean surface. Fractal subsets with different scaling properties were described by multifractal divergence (e.g. the difference between maximal and minimal values of the f((alpha) ) spectrum). This allowed us to highlight the effect of the temperature of film annealing on the surface structure. We found that fractal diversity jumps down in the temperature range 130 divided by 140 degree(s)C. Therefore, phase transition occurs in the system. Below the temperature of the phase transition the surface topography is characterized by high roughness and existence of small-scale irregularities. The melting also results in a decrease of the surface roughness due to the flowing down of gold crystallites. We also illustrate that surface transformation under low-temperature annealing changes the power spectral density and probability distribution of height functions.

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Peter E. Strizhak, Boris A. Snopok, Taras Melnik, Ekaterina V. Kostyukevich, Sergei I. Lysenko, Peter E. Shepeliavii, Sergei L. Priatkin, Sergey A. Kostyukevych, Yuri M. Shirshov, and Evgenie F. Venger "Multifractal properties of polycrystalline gold films", Proc. SPIE 3904, Fourth International Conference on Correlation Optics, (18 November 1999); https://doi.org/10.1117/12.370427

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