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

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dE/dx (ev/Ang)<br />

10<br />

1<br />

Inelastic Energy loss for H <strong>and</strong> He in Si<br />

He<br />

H<br />

Lindhard <strong>and</strong> Scharff<br />

V TF (H + )<br />

0.1 1 10 100 1000 10000 100000<br />

Energy (keV)<br />

Electronic stopping depends on the electronic states in the target so that in<br />

principle gas, liquid, <strong>and</strong> solid <strong>of</strong> the same element must have different stopping cross<br />

sect<strong>ion</strong>s. The nature <strong>of</strong> the chemical binding also affects the electronic states. Both <strong>of</strong><br />

these effects however are weak.<br />

2.3.3 Experimentally obtained stopping powers<br />

As well the large amount <strong>of</strong> theoretical in<strong>format<strong>ion</strong></strong> available on the magnitude<br />

<strong>of</strong> the stopping powers available, experimental measurements can be carried out to<br />

determine stopping powers. Averages <strong>of</strong> the best experimental <strong>and</strong> theoretical stopping<br />

power values have been produced <strong>and</strong> can be tabulated using the SRIM programs (3, 8).<br />

The MEIS analysis in this thesis has used the SRIM values for the inelastic stopping<br />

powers.<br />

2.3.4 Difference in stopping powers in open channels<br />

Along the open crystal channels the electron densities are reduced. This has the<br />

effect <strong>of</strong> reducing the rate <strong>of</strong> inelastic <strong>energy</strong> loss compared to a r<strong>and</strong>om direct<strong>ion</strong> (25).<br />

R is defined as the ratio <strong>of</strong> the <strong>energy</strong> loss in an open channel to the <strong>energy</strong> loss in a<br />

24<br />

V TF (He + )<br />

Bethe - Bloch<br />

Figure 2.3 Electronic stopping powers for H <strong>and</strong> He <strong>ion</strong>s in Si. The posit<strong>ion</strong>s<br />

corresponding to the Thomas Fermi velocity are indicated, along with the <strong>energy</strong><br />

regimes where different models for the stopping powers are applicable.

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