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<strong>Si</strong>-np. This phase separation process into <strong>Si</strong> agglomerates and <strong>Si</strong>O 2 is witnessed<br />

from v T O3 and <strong>de</strong>creased intensity of LO 4 −TO 4 peak in the FTIR spectra. This<br />

also explains the <strong>de</strong>crease of <strong>Si</strong> excess estimated by FTIR method in table 3.2.<br />

We may also assume that with increasing T d there is an increase in size of the<br />

<strong>Si</strong> agglomerates favoured by higher <strong>Si</strong> content and longer diusion time. This could<br />

explain the progressive <strong>de</strong>crease in the LO 3 peak intensity which reects the <strong>Si</strong>-<strong>Si</strong>O 2<br />

interfaces since with increasing sizes, the number of the agglomerates and therefore<br />

the number of interfaces may <strong>de</strong>crease.<br />

<strong>Si</strong>nce the <strong>de</strong>crease in LO 3 peak intensity indicates a lower total interface area at<br />

higher T d and consequently a lower number of <strong>Si</strong>-agglomerates, we may write the<br />

following equation,<br />

tel-00916300, version 1 - 10 Dec 2013<br />

N h S h < N l S l ⇒ N h (4πR h 2 ) < N l (4πR l 2 ) Eqn (3.10)<br />

Figure 3.4: Illustration of SRSO layer at<br />

low and high T d .<br />

where N h and N l represent the number<br />

of agglomerates at the highest and<br />

lowest T d , S h and S l their surface area<br />

and V h and V l their volumes.<br />

Due to increase in sizes as well as<br />

refractive in<strong>de</strong>x at high T d , the volumic<br />

fraction increases and can be expressed<br />

by,<br />

N l V l < N h V h ⇒ N l ((4/3)πR l 3 ) < N h ((4/3)πR h 3 ) Eqn (3.11)<br />

Thus, from Eqn. (3.10) & (3.11), we <strong>de</strong>duce,<br />

Rl<br />

3<br />

Rh<br />

3<br />

< N h<br />

N l<br />

< R2 l<br />

R 2 h<br />

< 1 Eqn (3.12)<br />

Equation 3.12 indicates that the radius of <strong>Si</strong>-np is lower at low T d . This indicates<br />

that there is a high number of small <strong>Si</strong>-agglomerates and a few large <strong>Si</strong>-agglomerates<br />

in samples grown at low and high T d respectively as illustrated in gure 3.4.<br />

From the results obtained above, T d =500°C is chosen for all the forthcoming<br />

investigations due to the high refractive in<strong>de</strong>x, <strong>Si</strong> excess and structural or<strong>de</strong>ring<br />

favoured at this temperature.<br />

66

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