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Thermodynamics and Kinetics to Alloying Addition on In-Situ AlN/Mg Composites Synthesis via Displacement Reactions in Liquid Mg Melt

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Abstract

Based on the Wilson equation, extended Miedema model, and hard sphere theory, new models are developed theoretically only using the quantities of the pure component and are applied to investigate the thermodynamical and kinetic effect of alloying additions on in-situ AlN formation via displacement reaction in Mg-Al alloy melt. The results show that the alloying additions such as Si, Zn, and Cu can promote the formation of AlN in Mg-Al melt both in thermodynamics and kinetics. Meanwhile, other elements, including Mn, Nd, Ce, Ni, and La, must be matched properly in order to produce the desired reinforcement AlN in liquid Mg-Al melt.

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Abbreviations

\( \Updelta G_{i}^{\text{o}} \) :

standard Gibbs free energy of formation of substance i

\( \Updelta G_{\text{Mg}}^{S \to L} \) :

Gibbs free energy change associated with the phase transformation of solid Mg into the liquid phase

D ij :

mutual diffusion coefficient

\( D_{ij}^{k} \) :

intrinsic diffusion coefficient

\( D_{ii}^{*} \) :

self-diffusion coefficient of component i

g ij :

thermodynamic factor

l i :

atom radius of component i

M i , \( \mathop M\limits^{ - } \) :

molar mass of component i and binary liquid, respectively

ρ i , ρ x :

density of component i and binary liquid, respectively

Z x :

compressibility factor

C(η):

correction factor

a i :

activity of component i

x i :

mole fraction of component i

γ i :

activity coefficient of component i

A i/j :

Wilson adjustable parameter

u i , b, r, p, q, A, B :

factor related to substance properties

φ:

electron density

V :

molar volume

\( T_{{m_{i} }} \) :

melting temperature of component i

R:

gas constant

T :

temperature of liquid melt

Q :

activation energy

D 0 :

pre-exponential factor

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Acknowledgment

The authors are grateful for the financial support from the National Nature Science Foundation of the People’s Republic of China (Grant No. 50671064), Key Basic Research Program of Shanghai (Grant No. 08JC1411400).

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Authors and Affiliations

  1. State Key Lab of Metal Matrix Composites, Shanghai Jiaotong University, Shanghai, 200240, People’s Republic of China

    Tongxiang Fan (Professor), Congfa Zhang (Doctor), Jianqi Chen (Postgraduate Student) & Di Zhang (Professor)

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  1. Tongxiang Fan
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  2. Congfa Zhang
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Correspondence to Tongxiang Fan.

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Manuscript submitted August 5, 2008.

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Fan, T., Zhang, C., Chen, J. et al. Thermodynamics and Kinetics to Alloying Addition on In-Situ AlN/Mg Composites Synthesis via Displacement Reactions in Liquid Mg Melt. Metall Mater Trans A 40, 2743–2750 (2009). https://doi.org/10.1007/s11661-009-9966-2

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