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Analysis of the extended defects in 3C-SiC.pdf - Nelson Mandela ...

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3.1. Introduction<br />

24<br />

CHAPTER THREE<br />

ION IMPLANTATION AND RADIATION DAMAGE<br />

In this chapter a model <strong>of</strong> <strong>the</strong> implantation <strong>of</strong> ions <strong>in</strong>to matter and <strong>the</strong> subsequent<br />

radiation damage is presented. Theories for <strong>the</strong> calculation <strong>of</strong> ion ranges are discussed<br />

and reference is made to <strong>the</strong> most popular approach, that <strong>of</strong> <strong>the</strong> LSS <strong>the</strong>ory, to<br />

illustrate <strong>the</strong> procedure taken <strong>in</strong> do<strong>in</strong>g such a calculation. The result shown <strong>in</strong> Chapter<br />

6 was however obta<strong>in</strong>ed us<strong>in</strong>g s<strong>of</strong>tware developed by Ziegler et al. (1985) us<strong>in</strong>g<br />

Monte Carlo methods. Follow<strong>in</strong>g this <strong>the</strong>ory <strong>of</strong> displacement damage and anneal<strong>in</strong>g<br />

<strong>of</strong> <strong>defects</strong> are presented.<br />

3.2. Ion ranges<br />

3.2.1 Introduction<br />

Dur<strong>in</strong>g ion implantation, <strong>the</strong> implanted species can lose energy to <strong>the</strong> target atoms <strong>in</strong><br />

two ways, namely electronic excitations (<strong>in</strong>elastic) and nuclear collisions (elastic). At<br />

higher energies <strong>the</strong> ion is stripped <strong>of</strong> some or all <strong>of</strong> its electrons and multiply ionized<br />

at which stage <strong>the</strong> energy loss is ma<strong>in</strong>ly due to <strong>in</strong>elastic processes, i.e. electronic<br />

excitation. Occasionally <strong>the</strong> mov<strong>in</strong>g atom will <strong>in</strong>teract directly with lattice atoms and<br />

collisions <strong>of</strong> <strong>the</strong> Ru<strong>the</strong>rford type results. As <strong>the</strong> k<strong>in</strong>etic energy <strong>of</strong> <strong>the</strong> mov<strong>in</strong>g atom<br />

decreases its degree <strong>of</strong> ionization does as well until <strong>the</strong> atom essentially becomes<br />

neutral at which stage collisions <strong>of</strong> <strong>the</strong> hard-sphere type will dom<strong>in</strong>ate. The rate at<br />

which energy is lost is given <strong>in</strong> <strong>the</strong> follow<strong>in</strong>g form,<br />

dE<br />

N[<br />

S n ( E)<br />

Se<br />

( E)]<br />

(3.1)<br />

dx<br />

where N is <strong>the</strong> number <strong>of</strong> target atoms per unit volume, Sn(E) and Se(E) def<strong>in</strong>ed as <strong>the</strong><br />

nuclear and electronic stopp<strong>in</strong>g powers respectively. The nuclear stopp<strong>in</strong>g power<br />

Sn(E) is given by,

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