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Surface and bulk passivation of multicrystalline silicon solar cells by ...

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106<br />

where, Bp denote the quasi-Fermi levels for electrons <strong>and</strong> holes respectively, n i is the<br />

intrinsic carrier density <strong>of</strong> the <strong>silicon</strong>.<br />

In the space charge region, the carrier densities are:<br />

n(z) = nbeβΦ<br />

p(z) = pbe<br />

(3)<br />

where, z denotes the position in the space charge region, Ψdenotes the corresponding<br />

position-dependent potential in the space charge region.<br />

where Ψ is the surface potential, <strong>and</strong> with the steady-state extrinsic De<strong>by</strong>e length<br />

<strong>and</strong> the function,<br />

The recombination rate in the space charge region is :<br />

With the capture time constant for electrons τn0 = (σnνthΝ1 ) -1 <strong>and</strong> for holes,<br />

l/<br />

τp0 =(σpvthΝt)1<br />

Hence, the recombination velocity in the space-charge region is given <strong>by</strong>:

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