The atomic parameter model for the fifth and sixth transition metal quasicrystal alloys (Mc=0.5)

Abstract

The forming ability of quasicrystal phase has a relationship with the atomic bond factors based on differences in atom size and electron factors. Usually, those factors or their combination are used to describe the forming ability, stability of alloys, etc. In this paper, the quasicrystal alloy forming abilities for the fifth and sixth transition metals (Y, Zr, Nb, Mo, Ru, Rh, Pd and La, Hf, Ta, W, Re, Os, Ir, Pt) based alloys have been studied by the size factor and the atomic parametric function. It has been found that an ellipse curve can be used to separate the quasicrystal formed area from the informed area in the size factor and atomic parameters functional graph. The ellipse curve can be defined by an equation (x−m)2/c 2+(y−n)2/d 2=1. The overall reliabilities for the model are up to 97.4% and 95.5% for the fifth and the sixth transition metals based quasicrystal alloys, respectively. Also, the ellipse parameters m, n, c and d can be paraphrased by some appropriate parameters for each host metal.