Z. Naturforsch. **68a,** 405 – 411
(2013)

doi:10.5560/ZNA.2013-0010

Numerical Approaches about the Morphological Description Parameters for the Manganese Deposits on the Magnesite Ore Surface

Mehmet
Bayirli and
Tuba
Ozbey

Physics Department, Science and Literature Faculty, Balikesir University, Cagis, 10145, Balikesir, Turkey

Received October 5, 2012 / revised December 20, 2012 / published online May 22, 2013

Black deposits usually found at the surface of magnesite ore or limestone as well as red deposits in quartz veins are named as natural manganese dendrites. According to their geometrical structures, they may take variable fractal shapes. The characteristic origins of these morphologies have rarely been studied by means of numerical analyses. Hence, digital images of magnesite ore are taken from its surface with a scanner. These images are then converted to binary images in the form of 8 bits, bitmap format. As a next step, the morphological description parameters of manganese dendrites are computed by the way of scaling methods such as occupied fractions, fractal dimensions, divergent ratios, and critical exponents of scaling. The fractal dimension and the scaling range are made dependent on the fraction of the particles. Morphological description parameters can be determined according to the geometrical evaluation of the natural
manganese dendrites which are formed independently from the process. The formation of manganese dendrites may also explain the stochastic selected process in the nature. These results therefore may be useful to understand the deposits in quartz vein parameters in geophysics.

*Key words:* Crystal Structure of Minerals; Numerical Methods; Critical Exponents; Structure of Disordered Solids.

*PACS numbers:* 91.60.Ed; 02.60-x; 64.60.F-; 61.43.Hv