Fe ve Fe - %25 Al için maksimum streslerin (hkl) düzlemlerinde teorik olarak hesaplanması

Yıl 2017, Cilt: 19 Sayı: 3, 23 - 30, 07.12.2017

Hamza Yaşar Ocak , Ali Çetin , Gencer Sarıoğlu

https://doi.org/10.25092/baunfbed.363741

Öz

Oda
sıcaklığında Fe ve Fe-% 25 Al (Fe₃Al) kristalleri bcc yapıda olup,
deneysel örgü parametreleri (a₀) 
2.87 Å ve 2,8964 Å dur. İç etkileşme enerjileri birbirlerine çok yakın
olan Fe ve Fe₃Al kristallerinin, fiziksel özellikleri birçok yönden
incelenmektedir. Temel fiziksel parametreler (hkl) kristal düzlemlerinde,
farklı büyüklüklere sahiptir. Bu çalışmada, elastik parametrelerden, maksimum
stressler (T_hkl),   hem Fe hem
de Fe₃Al kristalleri için (hkl) düzlemlerinde incelendi. Bunun için,
öncelikle Wien2k yöntemi kullanılarak ikinci derece elastik sabitler (C₁₁,
C₁₂ ve C₄₄) kübik simetri için hesaplandı. Kristallerin
örgü parametreleri ve saçılma açıları (2θ) pik genişliklerini (β_hkl)
bulmak için kullanıldı. Düzlemlere göre hesaplanan bazı elastik parametreler,
farklı denklemlerden hesaplanan sonuçlarla karşılaştırıldı. Kristal boyutlarına
(D_hkl) bağlı olan dislokasyon yoğunluğunlukları (δ_hkl) da
(hkl) düzlemlerinde incelendi. Elde edilen tüm sonuçlar, (hkl) düzlemleri ve
bazı [hkl] doğrultularına göre yorumlanarak, yakın çalışma sonuçları ile
karşılaştırıldı. Bu tarz analitik incelemelerin (222) düzlemine kadar
genişletilmesinin yeterli olabileceği sonucuna ulaşıldı.

Anahtar Kelimeler

Fe ve Fe - % 25 Al, maksimum stres, young sabiti, pik genişliği, kristal boyutu, dislokasyon yoğunluğu

Theoretical calculation of maximum stresses (hkl) planes for Fe and Fe - 25% Al

Öz

At room temperature, Fe
and Fe-25% Al (Fe₃Al) crystals are in bcc structure and the
experimental lattice parameters (a₀) are 2.87 Å and 2.8964 Å. The
physical properties of Fe and Fe₃Al crystals, whose internal
interaction energies are very close to each other, are investigated from many
perspectives. The basic physical parameters have different sizes in the (hkl)
crystal planes. In this study, the maximum stresses (T_hkl) were
investigated from the elastic parameters in the (hkl) planes for both Fe and Fe₃Al
crystals. For this, second order elastic constants (C₁₁, C₁₂
and C₄₄) were calculated first for cubic symmetry by using the
Wien2k method. The lattice parameters of the crystals and scattering angles
(2θ) were used to find the peak widths (β_hkl). Some elastic
parameters calculated with respect to the planes were compared with the results
calculated from different equations. The dislocation densities (δhkl) related
to crystal dimensions (D_hkl) were also studied in planes (hkl). All
the obtained results were interpreted according to (hkl) planes and some [hkl]
directions and compared with the results of other close studies. It has been
reached that such analytical investigations could be extended to the (222)
plane.

Anahtar Kelimeler

Fe and Fe3Al, maximum stress, young stability, peak width, crystal dimension, dislocation intensity

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