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Mathematical Models for Nano Science - Politecnico di Milano

Mathematical Models for Nano Science - Politecnico di Milano

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Bulk Heterojunction solar cells<br />

light<br />

current<br />

at contacts<br />

absorbption<br />

ra<strong>di</strong>ative<br />

recombination<br />

drift / <strong>di</strong>ffusion<br />

bulk<br />

excitons<br />

<strong>di</strong>ffusion<br />

bulk<br />

free carriers<br />

interface<br />

excitons<br />

partial<br />

<strong>di</strong>ssociation<br />

geminate<br />

recombination pairs<br />

drift / <strong>di</strong>ffusion<br />

recombination<br />

interface<br />

free carriers<br />

recombination to<br />

triplet excitons<br />

<strong>di</strong>ssociation<br />

L<br />

Γ N<br />

Γ C<br />

hν<br />

Ω<br />

Γ A<br />

Γ N<br />

Assumptions<br />

• Homogeneity. Blend as a single material<br />

with averaged properties<br />

• Imme<strong>di</strong>ate transition exciton → charge<br />

transfer state<br />

• Einstein relation<br />

Unknowns: X , n, p and ϕ

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