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

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66<br />

interfaced with the measurement apparatus, monitors the instantaneous flash intensity.<br />

The quasi-steady state lifetime is monitored as function <strong>of</strong> the instantaneous photon<br />

density. The QSSPCD method uses the classic expression for steady state<br />

photoconductivity:<br />

Δn = GLτeff<br />

where, Δn is the phtogenerated electron/hole density, G L is the optical generation<br />

function, <strong>and</strong> τeff is the effective carrier lifetime. The physical quantity, which is<br />

measured <strong>by</strong> the inductive sensor system, is the photoconductivity, σ L :<br />

ΔσL = qΔn(μn + μ p )W<br />

Where μn, μp are the electron <strong>and</strong> hole mobilities respectively, Μ is the excess<br />

electron/hole density <strong>and</strong> W is the sample volume. The associated computer program<br />

calculates the carrier mobilities, based on the doping density, <strong>and</strong> excess carrier density.<br />

The reference cell measures the instantaneous generation rate, G, <strong>and</strong> therefore, the<br />

average lifetime is computed <strong>and</strong> displayed. This technique works at any injection level,<br />

<strong>and</strong> the display shows lifetime versus injection level as the intensity <strong>of</strong> the flash decays<br />

from the maximum value to zero. Figure 4.1 is a snap shot <strong>of</strong> a QSSPCD apparatus <strong>and</strong><br />

user interface at NREL.

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