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

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<strong>energy</strong> than one scattered from an atom <strong>of</strong> the same element at the surface, for the same<br />

scattering angle. Comparison <strong>of</strong> the addit<strong>ion</strong>al <strong>energy</strong> lost <strong>and</strong> knowledge <strong>of</strong> the rate <strong>of</strong><br />

inelastic <strong>energy</strong> loss al<strong>low</strong>s the depth at which scattering occurred to be determined.<br />

The rate <strong>of</strong> inelastic <strong>energy</strong> loss (dE/dx), is most conveniently expressed in units<br />

<strong>of</strong> eV/Å, <strong>and</strong> is dependent on the <strong>ion</strong>, the target material <strong>and</strong> the <strong>ion</strong> <strong>energy</strong>. The<br />

accuracy <strong>of</strong> the depth scale calibrat<strong>ion</strong> is obviously limited by the accuracy <strong>of</strong> the<br />

stopping powers used. Work has been done by Andersen <strong>and</strong> Ziegler to average the best<br />

available experimental <strong>and</strong> theoretical stopping power values <strong>and</strong> these stopping power<br />

values can be obtained from the SRIM 2003 program (20). The appropriateness <strong>of</strong> the<br />

values used is discussed in sect<strong>ion</strong> 4.2.3.1 later. Values <strong>of</strong> the inelastic <strong>energy</strong> loss for H<br />

<strong>and</strong> He <strong>ion</strong>s in Si are shown in Figure 4.1 for the <strong>energy</strong> range 0 to 400 keV.<br />

Inelastic <strong>energy</strong> loss (eV/Ang)<br />

35<br />

30<br />

25<br />

20<br />

15<br />

10<br />

5<br />

He in Si<br />

He in SiO 2<br />

H in Si<br />

0<br />

0 50 100 150 200 250 300 350 400<br />

Energy (keV)<br />

Figure 4.1 Inelastic <strong>energy</strong> loss rates as a funct<strong>ion</strong> <strong>of</strong> <strong>energy</strong> for H in Si <strong>and</strong> He in Si<br />

<strong>and</strong> SiO2.<br />

Deviat<strong>ion</strong>s in the stopping powers from pure Si targets may arise when a<br />

sufficient amount <strong>of</strong> another element is present. In these <strong>studies</strong> however, the samples<br />

do not have a high enough concentrat<strong>ion</strong> <strong>of</strong> any element other than Si to significantly<br />

alter the <strong>energy</strong> loss rates <strong>and</strong> hence the depth scales. For the case <strong>of</strong> an extremely high<br />

concentrat<strong>ion</strong> <strong>of</strong> another element present the stopping <strong>of</strong> a compound may be estimated<br />

by the linear combinat<strong>ion</strong> <strong>of</strong> the stopping powers <strong>of</strong> individual elements, known as<br />

66

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