Amorf dentritik agatta quasi kristallerin fraktal büyümesi

Yıl 2017, Cilt: 19 Sayı: 2, 116 - 122, 27.09.2017

Mehmet Bayırlı

https://doi.org/10.25092/baunfbed.340107

Öz

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. 

Anahtar Kelimeler

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

Fractal growth of quasi crystals in the amorphous dendritic agate

Öz

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.

Anahtar Kelimeler

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

Kaynakça

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