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

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48<br />

<strong>and</strong> Qf at SiΝ -Si interface are approximately one order in magnitude higher than that for<br />

the Si-SiO 2 interface.<br />

Similarly, the deposition <strong>of</strong> SiNX layers on <strong>silicon</strong> substrates lead to the formation<br />

<strong>of</strong> a space charge region at the interface characterized <strong>by</strong> a fixed positive charge density<br />

(Qf) <strong>of</strong> the order <strong>of</strong> 1012cm-2. In p-type Si, a depletion/inversion layer is formed, while in<br />

n-type Si, the positively charged insulator attracts majority carriers <strong>and</strong> repels minority<br />

carriers. Hence, an accumulation layer is formed.<br />

3.2.1 Program for SRV Calculations<br />

Based on the extended SRH formalism, a program is written to calculate the SRV at<br />

dielectric film-Si interface. A brief description <strong>of</strong> the algorithm <strong>and</strong> methodology <strong>of</strong> this<br />

program is as follows:<br />

There are only two differences in the programs between the n-Si <strong>and</strong> p-Si:<br />

1. The p-type uses the Na input parameter while the n-type uses the Nd input<br />

parameter;<br />

2. The p <strong>and</strong> n types use slightly different equations to determine the b<strong>and</strong>bending<br />

(phi_s), recombination rate (Us), surface recombination velocity (Se) values.<br />

It is the same exact numerical method for both types.<br />

The method:<br />

1. The programs asks for input parameters (see note below);<br />

2. The programs have an outer <strong>and</strong> inner loop: the outer loop is controlled <strong>by</strong> the<br />

m value while the inner loop is controlled <strong>by</strong> the n value; together, these m, n parameters<br />

control the energy at which the phis. Us <strong>and</strong> Se will be calculated; the formula is delta n

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