Abstract
The dependence of minority carrier lifetime (τ) on the doping concentration Nd, grain sizedand interface state density Nisat the grain boundaries in (n-type) polycrystalline semiconductors has been calculated analytically. The recombination velocity at grain boundaries is enhanced by the diffusion potential Vdadjacent to the boundaries, and ranges from\simeq 10^{2}to 106cm . s-1depending on Nisand Nd. Under illumination, the population of the interface states is altered considerably from its dark level and as a result, Vddecreases to that value which maximizes recombination (equal concentrations of electrons and holes at the boundary). This causes τ to decrease with increasing Nd. Sample calculations for polycrystalline silicon show that for low angle boundaries with interface state densities of\simeq 10^{11}cm-2eV-1, τ decreases from 10-6to 10-10s as the grain size is reduced from 1000 to 0.1 µm (forN_{d} = 10^{16}cm-3). For a constant grain size, τ decreases with increasing Nd. The open-circuit voltage of p-n junction solar cells decreases for\tau \leq 10^{-7}s, whereas that for Schottky barrier cells remains at its maximum value until\tau \lsim 10^{-8}s.

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