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Prospects of Colloidal Nanocrystals for Electronic - Computer Science

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428 Chemical Reviews, 2010, Vol. 110, No. 1 Talapin et al.<br />

I SC ) enµE (43)<br />

ISC shows the maximum number <strong>of</strong> the photogenerated<br />

carriers that can be extracted from the solar cell. Hence, the<br />

external quantum efficiency, also known as incident photon<br />

to current efficiency (IPCE), can be calculated as:<br />

IPCE(λ) ) 1240 ISC λ Pin where Pin is an incident power at wavelength λ. Ifone<br />

electron-hole pair is created and separated per every<br />

absorbed photon, the ultimate ICPE is 100%. Generally<br />

speaking, the fate <strong>of</strong> photogenerated carriers is determined<br />

by the product <strong>of</strong> µτ (µ is the mobility <strong>of</strong> charges, and τ is<br />

the carrier lifetime), which has to be large enough to enable<br />

carrier separation be<strong>for</strong>e their recombination. ICPE can<br />

exceed 100% <strong>for</strong> devices generating more than one electron<br />

and hole per absorbed photon, <strong>for</strong> example, via impact<br />

ionization or carrier multiplication processes.<br />

Fill Factor (FF). The fill factor determines the quality <strong>of</strong><br />

voltage-current characteristics. It is defined as the ratio <strong>of</strong><br />

the maximum power Pmax under matched load conditions to<br />

the product <strong>of</strong> the open circuit voltage Voc and the shortcircuit<br />

current ISC:<br />

FF ) I m V m<br />

I SC V oc<br />

FF depends on the ability <strong>of</strong> charges to reach the electrodes<br />

when the driving <strong>for</strong>ce <strong>for</strong> carrier separation is lowered by<br />

the external bias. Typically, shunt resistances inside a solar<br />

cell account <strong>for</strong> a decrease in the fill factor.<br />

Power conversion efficiency (η) by definition is the<br />

maximum fraction <strong>of</strong> the input optical power converted into<br />

the electrical power:<br />

Table 5. Survey <strong>of</strong> Nanocrystal-Based Photovoltaic Devices a<br />

(44)<br />

(45)<br />

NC materials active layer design, electrodes<br />

η ) P max<br />

P in<br />

) FF I OC V SC<br />

P in<br />

To compare different solar cells, special optical source<br />

simulating the sun spectrum is used as an input optical power.<br />

This source called AM1.5 (air mass <strong>of</strong> 1.5) was characterized<br />

by the power density <strong>of</strong> ∼1000 W/m 2 with the spectral<br />

intensity distribution matching that <strong>of</strong> sunlight at the earth’s<br />

surface at an incident angle <strong>of</strong> 48.2°. A full description <strong>of</strong><br />

the AM1.5 standard spectrum can be found at http://<br />

rredc.nrel.gov/solar/spectra/am1.5/. A typical experimental<br />

setup used to measure IPCE and other characteristics <strong>of</strong> a<br />

photovoltaic cell is shown in Figure 39. Table 5 provides a<br />

summary <strong>of</strong> NC-based photovoltaic devices reported in recent<br />

years. Different nanocrystalline materials and cell designs<br />

have been studied, but this work is currently far from<br />

completion. Below, we discuss several most promising<br />

directions in NC photovoltaics.<br />

7.3.2. <strong>Nanocrystals</strong> in Hybrid Bulk Heterojunction Solar<br />

Cells<br />

Polymer solar cells based on conjugated organic polymers<br />

or polymer/fullerene blends are promising alternatives<br />

to conventional silicon-based technology. They<br />

comprise low cost fabrication by means <strong>of</strong> different<br />

printing techniques 470 with the flexible choice <strong>of</strong> various<br />

substrates. 471,472 These days, cells with single active layer<br />

can achieve power conversion efficiency <strong>of</strong> about 5%. 473,474<br />

Recently, efficiency <strong>of</strong> ∼7% was demonstrated <strong>for</strong> a tandem<br />

solar cell with different band gaps. 475 The outdoor lifetime<br />

<strong>of</strong> such solar cell was found to be more than 1 year. 476<br />

The main factors limiting the per<strong>for</strong>mance <strong>of</strong> polymer<br />

solar cells are chemical and photochemical stability <strong>of</strong><br />

polymers and contacts as well as relatively poor electronic<br />

properties <strong>of</strong> organic materials. Typically used polymers<br />

show reasonable hole mobility <strong>of</strong> ∼0.1 cm 2 V -1 s -1 , while<br />

the electron mobilities are much lower (

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