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Application of the high-temperature x-ray diffraction method to the diffusion study in the MgO-AI2O3 system

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Abstract

A mathematical model has been developed to study the kinetics of formation of spinel (MgAl2O4) using the high-temperature X-ray diffraction method. Experiments have been carried out for the MgO-Al2O3 system on an X-ray diffractometer in the temperature range of 1373 to 1673 K. Equimolar mixtures of MgO and A12O3 powders have been employed as the starting samples. The interdiffusivity values calculated from the high-temperature X-ray diffraction data using the present model are in good agreement with those obtained by diffusion couple experiments. The activation energy for the interdiffusion process has been found to be 354.2 kJ/mol in the temperature range 1473 to 1873 K.

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Abbreviations

a1 :

number of AO particles

a 2 :

number of M2O2 particles

C 2 :

concentration of M2O3 (mol·m -3 ) in the spinel phase at the interface between spinel and the unreacted AO

C2 :

concentration of M2O3 (mol·m -3 ) in the spinel phase at the interface between spinel and the unreacted M2O3

C } :

concentration of AO (mol·m -3 ) at the surfaces of the “AO” and “M2O3” particles

D :

interdiffusivity in spinel (m2·s-1)

J 1 :

molar flux of AO (mol·s-1)

J 2 :

molar flux of M2O3 (mol·s-1)

I } :

area of the spinel intensity peak

M 1 :

molar weight of AO

M }s :

molar weight of the spinel

r 01 :

initial radius of the particle AO

r 1 :

radius of the core of the unreacted AO

r 02 :

initial radius of the particle M2O3

r 02 :

radius of the core of the unreacted M2O3

t :

time

T :

absolute temperature

X rlAO :

mole fraction of AO in spinel at the AO/spinel interface

x AOr2 :

mole fraction of AO in spinel at the M2O2/spinel interface

X :

fraction of conversion

α:

constant

β :

constant

ρ} :

density of AO

ρ } :

density of the spinel

α1 :

a1,/a2

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Authors and Affiliations

  1. Division of Theoretical Metallurgy, Royal Institute of Technology, S-100 44, Stockholm, Sweden

    P. Zhang (Postdoctoral Research Fellow), S. Du (Associate Professor) & S. Seetharaman (Professor)

  2. Faculty of Non-Ferrous Metals, University of Mining and Metallurgy, 30-059, Cracow, Poland

    J. Karwan-Baczewska (Lecturer)

Authors
  1. P. Zhang
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  2. J. Karwan-Baczewska
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  3. S. Du
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  4. S. Seetharaman
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Zhang, P., Karwan-Baczewska, J., Du, S. et al. Application of the high-temperature x-ray diffraction method to the diffusion study in the MgO-AI2O3 system. Metall Mater Trans A 27, 2978–2984 (1996). https://doi.org/10.1007/BF02663847

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