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Introduction into defect studies in ceramic materials(III) - Positron ...

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Defect Chemical Reaction<br />

2. Solute Incorporation.<br />

(3)As a third example, consider the <strong>in</strong>corporation of MgO <strong><strong>in</strong>to</strong> Al2O3 . In<br />

this <strong>in</strong>stance, the Mg ions may enter the solid solution<br />

substitutionally or <strong>in</strong>tersitially; it is not exactly clear which is the<br />

lower energy option. If it is substitutional, a possible reaction is<br />

x ••<br />

2MgO<br />

= 2Mg′<br />

Al + 2OO<br />

+ VO<br />

( 2.<br />

21)<br />

and if it is <strong>in</strong>terstitial, we can write:<br />

••<br />

x<br />

3MgO = 3Mgi<br />

+ 3OO<br />

+ 2V<br />

′<br />

Al<br />

( 2.<br />

22)<br />

A third possibility is that magnesium is self-compensat<strong>in</strong>g and forms<br />

both the <strong>in</strong>terstitial and substitutional <strong>defect</strong>:<br />

3MgO<br />

= 2Mg′<br />

••<br />

x<br />

+ Mg + 3O<br />

( 2.<br />

23)<br />

Al<br />

i<br />

We should confirm that mass, site, and charge balance is ma<strong>in</strong>ta<strong>in</strong>ed <strong>in</strong><br />

each of these <strong>in</strong>stances.<br />

7<br />

O

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