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CHEM01200604009 Sreejith Kaniyankandy - Homi Bhabha ...

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34<br />

In the above expression reactant is in ground vibrational state “0” and product is in higher<br />

vibrational state of index n .<br />

n<br />

2 s<br />

<br />

0 | n <br />

exp( s)<br />

n!<br />

<br />

and<br />

s<br />

<br />

h<br />

i<br />

(1.35)<br />

If we include all vibrations then we get,<br />

2<br />

4<br />

2<br />

ket<br />

HRP<br />

( FC)<br />

(1.36)<br />

h<br />

FC is the Franck-Condon Factor which is sum of all contributions solvation and vibration.<br />

1. 7. Interfacial Electron Transfer from Molecular Adsorbate to<br />

Semiconductor<br />

ET in a semiconductor-dye system is a heterogeneous process. In this case electron<br />

transfer involves coupling between multitudes of semiconductor band levels with frontier<br />

orbitals of the dye molecules with a change in phase at the interfaces. In some of the<br />

cases investigate in the thesis we investigate electron transfer in such systems.<br />

The theoretical framework for such processes was independently developed by Marcus<br />

[1.45], Gerischer [1.46], and Levich and Dogonadze [1.47]. In unconfined systems or so<br />

called bulk semiconductors delocalized band states and trap states contribute towards ET<br />

process. While all the states need to be considered in building an ET theory, description<br />

of trap states are more complicated due to it energetic heterogeneity etc. The ET process<br />

described in the paper mostly involves ET from molecular adsorbate to semiconductor<br />

CB and BET.

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