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

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APPENDIX III<br />

COMPUTATIONAL METHOD FOR RECOMBINATION VELOCITY IN SCR<br />

Units: CGS is applied throughout the calculations<br />

k=1.381 x 1023 Boltzmann constant<br />

T=300 Absolute temperature<br />

ni=1.5 x 10 10 Intrinsic carrier concentration<br />

q=1 .602x 10 19 Magnitude <strong>of</strong> electronic charge<br />

Ε; 0 Intrinsic Fermi level<br />

ε0 8.85)10 -i4 permittivity <strong>of</strong> vacuum<br />

εs7.5 Dielectric constant <strong>of</strong> <strong>silicon</strong> nitride<br />

εsi=11.7 Dielectric constant <strong>of</strong> <strong>silicon</strong><br />

β q/kT =38.668<br />

Assumptions: p-type <strong>silicon</strong>, NΑ=1 0 16 cm 3 <strong>and</strong> Q±10 12 cm 2<br />

Injection level in the <strong>bulk</strong> Δnb=1012 cm 3<br />

The mobile carrier densities in the neutral <strong>bulk</strong> <strong>of</strong> the <strong>silicon</strong> is given <strong>by</strong>:<br />

n b = n 0 + Δn b<br />

Ρb = Ρ0 + Δnb (1)<br />

The equilibrium carrier densities no <strong>and</strong> Ρo can be easily calculated from the doping<br />

concentration;<br />

or<br />

= n,e βΦn<br />

Pb = nieβΦn (2)<br />

105

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