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With increasing T d , there is a progressive <strong>de</strong>crease in the LO 3 peak intensity.<br />

As seen from the insets, with increasing T d , the <strong>Si</strong>-H peak <strong>de</strong>creases in intensity<br />

and the LO 3 peak position (ν LO3 ) shifts towards higher wavenumbers approaching<br />

the ν LO3 of <strong>Si</strong>O 2 . There is a similar shift in the TO 3 peak position (ν T O3 ) towards<br />

higher wavenumbers as can be seen from the normal inci<strong>de</strong>nce spectra. The inset in<br />

gure 3.2b clearly shows this variation in TO 3 peak positions. These results indicate<br />

that the sample becomes more or<strong>de</strong>red and the <strong>Si</strong>O x matrix gradually shifts towards<br />

<strong>Si</strong>O 2 with increasing T d .<br />

(c) <strong>Si</strong> excess estimation<br />

c1) From FTIR analysis<br />

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

The phase separation of <strong>Si</strong>O x into <strong>Si</strong>O 2 and <strong>Si</strong> particles can be initiated<br />

during the <strong>de</strong>position process, or post-annealing treatment. This<br />

is represented by the following equation:<br />

<strong>Si</strong>O x =<br />

( x<br />

) (<br />

<strong>Si</strong>O 2 + 1 − x )<br />

<strong>Si</strong> Eqn (3.2)<br />

2 2<br />

The value x [= O/<strong>Si</strong>] is calculated using υ T O3 obtained in the FTIR<br />

spectra, from which the atomic percentage of <strong>Si</strong> excess is estimated using<br />

the formulae specied in section 2.2.1 of chapter 2.<br />

c2) From Refractive in<strong>de</strong>x and Bruggeman mo<strong>de</strong>l<br />

The <strong>Si</strong> excess and the value of x can also be estimated from the<br />

values of refractive in<strong>de</strong>x obtained from ellipsometry using Bruggeman<br />

mo<strong>de</strong>l (eective medium approximation-[Bruggeman 35]). In our case of<br />

<strong>Si</strong>O x materials, the eective dielectric function (ε e ) is a combination of<br />

the dielectric functions of <strong>Si</strong> and <strong>Si</strong>O 2 . The Bruggeman mo<strong>de</strong>l gives a<br />

relationship of the eective medium as a volumic fraction of two dierent<br />

materials as follows:<br />

where,<br />

f 1 ( ɛ <strong>Si</strong> − ɛ e<br />

ɛ <strong>Si</strong> + 2ɛ e<br />

) + f 2 ( ɛ <strong>Si</strong>O 2<br />

− ɛ e<br />

ɛ <strong>Si</strong>O2 + 2ɛ e<br />

)= 0 Eqn (3.3)<br />

ɛ e = n 2 e is the relative permittivity of the eective medium<br />

ɛ <strong>Si</strong> and ɛ <strong>Si</strong>O2 are the relative permittivity of <strong>Si</strong> and <strong>Si</strong>O 2 respectively,<br />

and f <strong>Si</strong> and f <strong>Si</strong>O2 their volumic fractions.<br />

62

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