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Damage formation and annealing studies of low energy ion implants ...

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<strong>energy</strong> deposit<strong>ion</strong>. Equat<strong>ion</strong> 2.6 shows that significantly σ is proport<strong>ion</strong>al to Z1 2 , Z2 2 , E -2<br />

<strong>and</strong> sin -4 (θ/2). The implicat<strong>ion</strong>s for MEIS analysis are discussed further in sect<strong>ion</strong> 4.2.2.<br />

p<br />

dp<br />

Figure 2.1 Scattering into a solid angle. From (16).<br />

2.2.2 The Kinematic Factor<br />

Using the hard sphere model a collis<strong>ion</strong> between an energetic <strong>ion</strong> <strong>and</strong> a<br />

stat<strong>ion</strong>ary target atom is illustrated in Figure 2.2. The incident <strong>ion</strong> (mass M1) moves<br />

towards the target atom (mass M2), with some perpendicular distance between the line<br />

<strong>of</strong> the centre <strong>of</strong> the particles, p, called the impact parameter. The centre <strong>of</strong> the incident<br />

<strong>ion</strong> will approach the centre <strong>of</strong> the target atom to a distance <strong>of</strong> the sum <strong>of</strong> the radii <strong>of</strong> the<br />

two spheres, 2R0, where a collis<strong>ion</strong> takes place. The incident <strong>ion</strong> will be scattered <strong>and</strong><br />

<strong>energy</strong> will be imparted to the target <strong>ion</strong> causing it to recoil. Because there are no<br />

external constraints total <strong>energy</strong> <strong>and</strong> momentum are conserved.<br />

19

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