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Manyezit cevher yüzeyindeki dağılım türlerinin belirlenmesi

Year 2017, Volume: 19 Issue: 3, 105 - 110, 07.12.2017
https://doi.org/10.25092/baunfbed.363773

Abstract

Doğada ve deneysel ortamda morfolojik
özelliklere sahip ve istatistiksel olarak bilimsel araştırmaların konusu olan
birçok yapı bulunmaktadır. Bu yapılardan biri manyezit cevher yüzeyindeki
mangan dağılımlarıdır. Bu dağılımları araştırmak amacıyla manyezit cevher
yüzeylerindeki makroskobik açıdan farklı özellik gösteren bölgeler ayrı ayrı
incelenmiştir. Bu amaçla işgal edilme kesri
f değeri, 0.159 ve 0.133 olan bölgelere ait parçacık
dağılım grafikleri elde edilmiş ve yeni bir dağılım fonksiyonu olan




















 tanımlanmıştır. ρ, d ve q cevher yüzeyindeki dağılımları tanımlayan model
parametreleridir. Buna göre, dendritik özellikteki mangan yapıları hiperbolik
dağılım gösterirken, noktasal ya da bütün bir yapıdakiler gaussian dağılım
göstermektedir. 

References

  • Barbarasi, A.L. and Stanley, H.E., Fractal concepts in surface growth, Cambridge: Cambridge University Press, (1995).
  • Vicsek, T., Fractal growth phenomena, Singapore: Word Scientific, (1992).
  • Mandelbrot, B.B. and Wallis, J.R., Some long-run properties of geophysical records, Water Resource. Research., 5, 321-340, (1969).
  • Fowler, A.D. and Roech, D.E., A model and simulation of branching mineral growth from cooling contacts and glasses, Mineralogical Magazine, 60, 595-601, (1996).
  • Chopard, H., Herrmann, H.J. and Vicsek, T., Stucture and growth mechanism of mineral dendrites, Nature, 353, 409-412, (1991).
  • Meakin P., Fractals, Scaling and Growth Far From Equilibrium, Cambridge: Cambridge University Press, (1998).
  • Bayirli, M., The geometrical approach of the manganitive compound deposition on the surface of manganisite ore, Physica A, 353, 1-8, (2005).
  • Xu, H., Chen, T. and Konishi, H., HRTEM investigation of trilling todorokite and nano-phase Mn-oxides in manganese dendrites, American Mineralogist, 95, 556-562, (2010).
  • Ng, T.F. and The, G.H., Fractal and shape analyses of manganese dendrites on vein quartz, Bulletin of the Geological Society of Malaysia, 55, 73-79, (2009).
  • García-Ruiz, J.M., Otálora, F., Sanchez-Navas, A. and Higes-Rolando, F., The formation of manganese dendrites as the material record of flow structures, In Fractals and Dynamics Systems in Geosciences, Edited by J.H. Kruhl, Springer Verlag, 307-318, (1994).
  • Schoedler, F., Element of Geology and Mineralogy, London: Joseph Griffin and Co., 56, (1851).
  • Swartzlow, R.C., Two dimensional dendrites and their origin, The American Mineralogist, 19, 403-411, (1934).
  • Mandelbrot, B.B., The Fractal Geometry of Nature, New York: Freeman, (1983).
  • Bayirli, M. and Ozbey, T., Numerical approaches about the morphological description parameters for the manganese deposits on the magnesite ore surface, Zeitschrift für Naturforsch, 68a, 405-411, (2013).
  • Meakin, P., Diffusion-controlled deposition on surfaces: Cluster-size distribution, interface exponents and other properties, Physical Review B, 30, 4207-4214, (1984).
  • Blott, J.S. and Pye, K., Gradistat: A grain size distribution and statistics package for the analysis of unconsolidated sediments, Earth Surface Processes Landforms, 26, 1237-1248, (2001).
  • Granqvist, C.G., Size distribution for ultrafine metal particles, Journal De Physique, 38, C2, C2-147-C2-150 (1977).
  • Colas, R., On the variation of grain size and fractal dimension in an austenitic stainless steel, Material Characterization, 46, 353-358, (2001).
  • Rautio, H. and Silven, O., Average grain size determination using mathematical morphology and texture analysis, http://www.ee.oulu.fi/research/mvmp/mvg/files/pdf/mva98.pdf, (02.06.2016).

The determination of the types of the distribution on the magnesite ore

Year 2017, Volume: 19 Issue: 3, 105 - 110, 07.12.2017
https://doi.org/10.25092/baunfbed.363773

Abstract

There are many structures in nature and in the experimental environment
that have morphological characteristics and are statistically subject to
scientific research. The one of these structures is manganese distributions on
the magnesite ore surface. In order to investigate these distributions, the
regions showing different properties macroscopically on magnesite ore surface
have been investigated separately. For this purpose, the particle distribution
graphs for the zones with the occupation fraction value
f, 0.159
and 0.133 are obtained and a new distribution distribution function




















 is defined. ρ, d and q 
are the model parameters that define the distributions in the ore
surface. According to this, while the manganese structures having dendritic
properties show hyperbolic distribution, having point or whole structure show
gaussian distribution.

References

  • Barbarasi, A.L. and Stanley, H.E., Fractal concepts in surface growth, Cambridge: Cambridge University Press, (1995).
  • Vicsek, T., Fractal growth phenomena, Singapore: Word Scientific, (1992).
  • Mandelbrot, B.B. and Wallis, J.R., Some long-run properties of geophysical records, Water Resource. Research., 5, 321-340, (1969).
  • Fowler, A.D. and Roech, D.E., A model and simulation of branching mineral growth from cooling contacts and glasses, Mineralogical Magazine, 60, 595-601, (1996).
  • Chopard, H., Herrmann, H.J. and Vicsek, T., Stucture and growth mechanism of mineral dendrites, Nature, 353, 409-412, (1991).
  • Meakin P., Fractals, Scaling and Growth Far From Equilibrium, Cambridge: Cambridge University Press, (1998).
  • Bayirli, M., The geometrical approach of the manganitive compound deposition on the surface of manganisite ore, Physica A, 353, 1-8, (2005).
  • Xu, H., Chen, T. and Konishi, H., HRTEM investigation of trilling todorokite and nano-phase Mn-oxides in manganese dendrites, American Mineralogist, 95, 556-562, (2010).
  • Ng, T.F. and The, G.H., Fractal and shape analyses of manganese dendrites on vein quartz, Bulletin of the Geological Society of Malaysia, 55, 73-79, (2009).
  • García-Ruiz, J.M., Otálora, F., Sanchez-Navas, A. and Higes-Rolando, F., The formation of manganese dendrites as the material record of flow structures, In Fractals and Dynamics Systems in Geosciences, Edited by J.H. Kruhl, Springer Verlag, 307-318, (1994).
  • Schoedler, F., Element of Geology and Mineralogy, London: Joseph Griffin and Co., 56, (1851).
  • Swartzlow, R.C., Two dimensional dendrites and their origin, The American Mineralogist, 19, 403-411, (1934).
  • Mandelbrot, B.B., The Fractal Geometry of Nature, New York: Freeman, (1983).
  • Bayirli, M. and Ozbey, T., Numerical approaches about the morphological description parameters for the manganese deposits on the magnesite ore surface, Zeitschrift für Naturforsch, 68a, 405-411, (2013).
  • Meakin, P., Diffusion-controlled deposition on surfaces: Cluster-size distribution, interface exponents and other properties, Physical Review B, 30, 4207-4214, (1984).
  • Blott, J.S. and Pye, K., Gradistat: A grain size distribution and statistics package for the analysis of unconsolidated sediments, Earth Surface Processes Landforms, 26, 1237-1248, (2001).
  • Granqvist, C.G., Size distribution for ultrafine metal particles, Journal De Physique, 38, C2, C2-147-C2-150 (1977).
  • Colas, R., On the variation of grain size and fractal dimension in an austenitic stainless steel, Material Characterization, 46, 353-358, (2001).
  • Rautio, H. and Silven, O., Average grain size determination using mathematical morphology and texture analysis, http://www.ee.oulu.fi/research/mvmp/mvg/files/pdf/mva98.pdf, (02.06.2016).
There are 19 citations in total.

Details

Journal Section Research Articles
Authors

Tuğba Özbey This is me

Mehmet Bayırlı

Publication Date December 7, 2017
Submission Date August 15, 2017
Published in Issue Year 2017 Volume: 19 Issue: 3

Cite

APA Özbey, T., & Bayırlı, M. (2017). Manyezit cevher yüzeyindeki dağılım türlerinin belirlenmesi. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 19(3), 105-110. https://doi.org/10.25092/baunfbed.363773
AMA Özbey T, Bayırlı M. Manyezit cevher yüzeyindeki dağılım türlerinin belirlenmesi. BAUN Fen. Bil. Enst. Dergisi. December 2017;19(3):105-110. doi:10.25092/baunfbed.363773
Chicago Özbey, Tuğba, and Mehmet Bayırlı. “Manyezit Cevher yüzeyindeki dağılım türlerinin Belirlenmesi”. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi 19, no. 3 (December 2017): 105-10. https://doi.org/10.25092/baunfbed.363773.
EndNote Özbey T, Bayırlı M (December 1, 2017) Manyezit cevher yüzeyindeki dağılım türlerinin belirlenmesi. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi 19 3 105–110.
IEEE T. Özbey and M. Bayırlı, “Manyezit cevher yüzeyindeki dağılım türlerinin belirlenmesi”, BAUN Fen. Bil. Enst. Dergisi, vol. 19, no. 3, pp. 105–110, 2017, doi: 10.25092/baunfbed.363773.
ISNAD Özbey, Tuğba - Bayırlı, Mehmet. “Manyezit Cevher yüzeyindeki dağılım türlerinin Belirlenmesi”. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi 19/3 (December 2017), 105-110. https://doi.org/10.25092/baunfbed.363773.
JAMA Özbey T, Bayırlı M. Manyezit cevher yüzeyindeki dağılım türlerinin belirlenmesi. BAUN Fen. Bil. Enst. Dergisi. 2017;19:105–110.
MLA Özbey, Tuğba and Mehmet Bayırlı. “Manyezit Cevher yüzeyindeki dağılım türlerinin Belirlenmesi”. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi, vol. 19, no. 3, 2017, pp. 105-10, doi:10.25092/baunfbed.363773.
Vancouver Özbey T, Bayırlı M. Manyezit cevher yüzeyindeki dağılım türlerinin belirlenmesi. BAUN Fen. Bil. Enst. Dergisi. 2017;19(3):105-10.