Amorf dentritik agatta quasi kristallerin fraktal büyümesi

Abstract

Bu çalışmada; katı-katı faz geçişiyle quasi-kristallerin fraktal büyümesi sunulmaktadır. Yüksek dağılıma sahip rastgele dallanarak kristalleşmiş fraktal büyüme fazı amorf dendritik agatlarda gözlemlenmiştir. Sırası ile, yoğunluk korelasyon fonksiyon üssü mangan kristalleri için yaklaşık olarak a ~ 0.308-0.342 fraktal boyut değerleri D ~ 1.238-1.626 hesaplanmıştır. Dentritik agat sisteminin bileşenleri sıcaklık ve konsantrasyon gradiyentlerinin durumuna göre değişkenlik gösterir. Sıcaklık arttıkça mangan oksit çekirdeğe sızmakta, sıcaklık azaldıkça ise mangan oksit katılaşıp kristalleşmektedir. Bu numunede kristal büyüme quasi statik limitte ve difüzyonla sınırlı koşullarda gerçekleşmektedir.  Sonuçlar; difüzyonla sınırlı kümeleşme modeli ile uyum göstermektedir. Fraktal büyümenin gözlemlendiği diğer sistemlerle karşılaştırılarak oluşum mekanizmaları tartışılmıştır. 

Keywords

• Amorf dendritik agat,fraktal,difüzyonla sınırlı kümeleşme(DLA)

Fractal growth of quasi crystals in the amorphous dendritic agate

Abstract

In this study, fractal growth of quasi-crystals is presented by solid-solid phase transition. The randomly branched crystallized and quasi fractal growth phase with high distribution was observed in amorphous dendritic agates. The critical exponent values of correlation function and the fractal dimensions were approximately calculated as a ~ 0.308-0.342 and D ~ 1.238-1.626 and for manganese crystals, respectively. The components of the dendritic agate system vary according to the state of the temperature and concentration gradients. As temperature increases, manganese oxide seeps into the core. As temperature decreases, manganese oxide solidifies and crystallizes. In this sample, crystal growth occurs at quasi-static limit and diffusion limited conditions. Results; It is in agreement with the diffusion-limited aggregation model. The formation mechanisms have been discussed in comparison with other systems in which fractal growth is observed.

Keywords

• Amorphous dendritic agate,fractals,diffusion limited aggregation (DLA)

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