On Fundamental Structure-Forming Processes

Häußler, P.

doi:10.1007/3-540-26869-3_5

Cited by 2 publications

(1 citation statement)

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“…According to Häussler et al [16] the static atomic structure of an ideal amorphous state is in resonance with the longrange Friedel oscillations of valence electrons. The resonance results in spherical periodicity as shown by the peak (shell) oscillation with a certain period in the pair correlation function of an ideal amorphous state.…”

Section: The 'Cluster-resonance' Model and Composition Designmentioning

confidence: 99%

Revisiting Al-Ni-Zr bulk metallic glasses using the ‘cluster-resonance’ model

Qiang

Wang

et al. 2011

Chin. Sci. Bull.

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(x=1, 1.5, 2, 3) were designed in this work and the bulk metallic glass (BMG) formation of these compositions was investigated by copper mold suction casting. A centimeter-scale BMG sample was obtained for the Ni 4 Zr 9 Al 2 (Al 13.3 Ni 26.7 Zr 60 in atomic percent) composition. The thermal glass parameters for this BMG were determined to be ΔT x = 68 K, T rg = 0.579, and γ m = 0.689. Using the 'cluster-resonance' model for glass formation an optimal BMG composition was determined using the cluster formula [Ni 3 Zr 9 ](Al 2 Ni 1 ). . These complex alloys are based on the basic ternary systems of Al-TM-Zr (TM = Ni, Co, Cu) together with specific alloying substitutes [5,7,8]. A rationalization of the glass-forming abilities (GFAs) of Al-TM-Zr alloys is desirable to quantify complex BMG compositions. Disagreements exist with regard to experimental accounts of the GFA for fundamental ternary systems [9][10][11]. This study is devoted to a reexamination of the GFAs of Al-Ni-Zr alloys. We first use the 'cluster-plus-glue-atom' model [12,13] for BMG composition design. This model presents a semiphenomenological treatment of a BMG structure. An atomic cluster of specific topology, chemical composition and glue structure were used to establish the statistical composition of a BMG system. An ideal BMG assumes universal cluster formulae such as [cluster] 1 (glue atoms) x , with x=1 or 3 [13,14]. To determine the structural stability of the model structure we recently proposed a 'cluster-resonance' model by taking the coupling of long-range Friedel oscillations of valence electrons with the pair correlation function into consideration [15]. The composition design of Al-Ni-Zr BMG alloys is incorporated into the model that follows. The 'cluster-resonance' model and composition designAccording to Häussler et al. [16] the static atomic structure of an ideal amorphous state is in resonance with the longrange Friedel oscillations of valence electrons. The resonance results in spherical periodicity as shown by the peak (shell) oscillation with a certain period in the pair correlation function of an ideal amorphous state. The spherical periodicity gives an oscillation wavelength ( Fr ) in the form of

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Section: The 'Cluster-resonance' Model and Composition Designmentioning

confidence: 99%