Semiconductors Used in Photovoltaic and Photocatalytic Devices:
Assessing Fundamental Properties from DFT
Tangui Le Bahers,*
,†
Michel Re ́ rat,
‡
and Philippe Sautet
†
†
Universite ́ de Lyon, Universite ́ Claude Bernard Lyon1, ENS Lyon, Centre Nationale de Recherche Scientifique, 46 allé ed’Italie,
69007 Lyon Cedex 07, France
‡
Equipe de Chimie-Physique, IPREM UMR5254, Universite ́ de Pau et des Pays de l’Adour, Hé lioparc, 2 avenue du Pre ́ sident P.
Angot, 64053 Cedex, France
* S Supporting Information
ABSTRACT: The photovoltaic and photocatalytic systems generally use at least one
semiconductor in their architecture which role is to absorb the light or to transport the
charge carriers. Despite the large variety of working principles encountered in these systems,
they share some fundamental steps such as light absorption, exciton dissociation, and charge
carrier diffusion. These phenomena are governed by fundamental properties of the
semiconductor like the bandgap, the dielectric constant, the charge carrier effective masses,
and the exciton binding energy. The ability of density functional theory to compute all of
these properties is evaluated. From the particularly good results obtained with the HSE06
functional, it can be concluded that DFT is a reliable tool for the evaluation and prediction
of these key properties which open nice perpectives for in silico design of improved
semiconductors for solar energy application. In the light of these calculations, some
experimental observations on the difference of efficiencies between semiconductors like
TiO
2
anatase and rutile or ZnO are interpreted.
1. INTRODUCTION
Harvesting energy from sunlight is a major challenge for
sustainable development. Devices to convert the energy of light
into other forms of energy such as electricity (photovoltaic
systems) or chemical compound (photocatalysis, water
splitting, CO
2
photoreduction, etc.) play a key role for that
objective since they represent a real opportunity to produce
electricity, chemicals, hydrogen fuels, etc. at low environmental
and economical costs.
1−5
Generally these systems involve a semiconductor (SC) for
the light absorption or for the conduction of the photo-
generated charge carriers or both. Table 1 presents some
examples of applications where a SC is used for the light
conversion process.
Although the working principle of this type of devices can be
complicated and different from one system to another, some
fundamental steps are common to all of them. These steps are
summed up in Figure 1, each step inducing a specific
requirement on the SC properties.
Step 1: The light absorption. This is the first step for devices
where a SC has to absorb the light. It promotes an electron
(e
−
) from the valence band to the conduction band of the SC,
leaving an electronic vacancy in the valence band, called a hole
(h
+
). The electron and the hole interact through a Coulomb
attraction, giving an entity called exciton.
In the case of sunlight absorption and for photovoltaic
application, an optimum gap between the valence and
conduction bands of the SC exists. As the curve of the
maximum efficiency as a function of the bandgap, E
g
, is pretty
flat around the optimum,
26
one can defined a region of
optimum, between 1.1 and 1.4 eV,
26
more than a unique
optimum. This zone of E
g
optimum represents a compromise
between a high photocurrent in the solar cells (obtained by
diminishing the gap) and a high photovoltage (obtained by
increasing the gap). This requirement on the gap can be
different if the light does not belong to the sunlight spectrum
(indoor application for instance) or if the objective is not
electricity production but chemical reactions (water splitting for
instance). In the case of chemical reaction, a compromise needs
Received: September 30, 2013
Revised: February 25, 2014
Published: February 28, 2014
Table 1. Example of applications of the light conversion
along with SCs used for this application. The stars indicate
SCs that are used for the light absorption.
applications
example of semiconductors found
for these application
inorganic photovoltai
̈
c Si*,
6
Ge*,
7
GaAs*,
6,8
CdTe*,
6,9
CuInS
2
*,
10
CdS
11
dye-sensitized solar cells and quantum
dots-sensitized solar cells
TiO
2
,
3
ZnO,
12
SnO
2
,
13
NiO,
14
CdSe*,
15
CdTe*
15
CO
2
photoreduction TiO
2
,
16
TiO
2
*,
17,18
In(OH)
3
*
19
water splitting Fe
2
O
3
*,
20
CdS*,
21
NiO,
22
Bi
2
S
3
*,
2
Ta
3
N
5
*
23
waste photodegradation BiVO
4
*,
24
BiWO
6
*,
2
TiO
2
*
25
Article
pubs.acs.org/JPCC
© 2014 American Chemical Society 5997 dx.doi.org/10.1021/jp409724c | J. Phys. Chem. C 2014, 118, 5997−6008