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100 THE PHYSICS OF THE SOLAR CELL<br />

50.0<br />

40.0<br />

Efficiency, h max<br />

30.0<br />

20.0<br />

10.0<br />

0.0 0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0<br />

Band gap<br />

[eV]<br />

Figure 3.19 Theoretical maximum efficiency as a function of semiconductor band gap for an<br />

AM1.5 global spectrum<br />

This is plotted in Figure 3.19 for an AM1.5 global spectrum and shows a maximum<br />

efficiency of 48% at about E G = 1.1 eV, close to the band gap of silicon. Of course, this<br />

is only a simple estimate and assumes that V OC = 1/qE G and FF = 1, which are obvious<br />

exaggerations. Perfect light trapping was also assumed so that I SC = I inc , but that is a<br />

more realistic prospect. Under nonconcentrated solar illumination, the actual maximum<br />

theoretical efficiency for a silicon solar cell is approximately 30%. However, this simple<br />

approach does serve to demonstrate the important role the semiconductor band gap plays<br />

in determining solar cell performance and shows that band gaps between 1.0 and 1.6 eV<br />

have nearly equivalent maximum theoretical efficiencies.<br />

3.5.2 Spectral Response<br />

The spectral response, SR(λ), of a solar cell permits an examination of how photons of<br />

different wavelengths (energy) contribute to the short-circuit current. Just as the collection<br />

efficiency can be measured as either an external or an internal collection efficiency, so<br />

can the spectral response. The spectral response is defined as the short-circuit current,<br />

I SC (λ), resulting from a single wavelength of light normalized by the maximum possible<br />

current. The external spectral response is defined as<br />

SR ext = I SC(λ)<br />

qAf(λ)<br />

(3.146)

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