Research Article
Prediction of a New Phase of Cu
x
S near
Stoichiometric Composition
Prashant Khatri and Muhammad N. Huda
Department of Physics, University of Texas at Arlington, Arlington, TX 76019, USA
Correspondence should be addressed to Muhammad N. Huda; huda@uta.edu
Received 16 November 2014; Revised 15 January 2015; Accepted 3 March 2015
Academic Editor: Mahmoud M. El-Nahass
Copyright © 2015 P. Khatri and M. N. Huda. Tis is an open access article distributed under the Creative Commons Attribution
License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly
cited.
Cu
2
S is known to be a promising solar absorber material due to its suitable band gap and the abundance of its constituent elements.
Cu
2
S is known to have complex phase structures depending on the concentration of Cu vacancies. Its instability of phases is due
to favorable formation of Cu vacancies and the mobility of Cu atoms within the crystal. Understanding its phase structures is of
crucial important for its application as solar absorber material. In this paper, we have predicted a new crystal phase of copper sulfde
(Cu
x
S) around chemical composition of = 1.98 by utilizing crystal database search and density functional theory. We have shown
that this new crystal phase of Cu
S is more favorable than low chalcocite structure even at stoichiometric composition of =2.
However, Cu vacancy formation probability was found to be higher in this new phase than the low chalcocite structure.
1. Introduction
Cu
2
S is a well-known semiconductor which has the potential
to play an important role as a solar absorber material.
Tin flms of heterojunctions such as Cu
2
S/CdS have shown
an efciency of 9-10% in the past [1–4]. However, Cu
2
S
shows complex structural behavior. Experimental results so
far have shown that stoichiometric Cu
2
S mainly exists in
three forms: monoclinic phase (low chalcocite) forms at
temperature below 104
∘
C, hexagonal phase (high chalcocite)
forms between 104 and 436
∘
C, and cubic phase forms at
temperature 436
∘
C or higher [5, 6]. Teoretical calculations
on three chalcocites have shown consistency with exper-
imental facts revealing low chalcocite is favorable at 0 K
[7, 8]. Te low chalcocite has 96 Cu and 48 S atoms and
is monoclinic in nature. A major problem in Cu
2
S is the
copper atom’s instability towards the formation of copper
vacancies; this leads to the formation of diferent crystal
structures depending on Cu vacancy concentrations [7–12].
In addition, this formation of high copper vacancies results in
very high p-type doping [13] causing the material to behave
like a degenerate semiconductor. Moreover, in Cu
2
S, the
positions of Cu within the sublattice of S atoms are not well
defned [7, 8] as copper atoms are mobile in nature in Cu
2
S
[14, 15]. Despite being earth abundant and nontoxic, these
problems hindered the further study of Cu
2
S in photovoltaic
community for some time.
Table 1 provides names of known Cu
2
S phases those
that are experimentally identifed with their composition.
Experimentally observed band gaps of these Cu
x
S phases fall
in the range of 1.1–1.2eV; however, the nature of these band
gaps is not well identifed yet [7, 8]. Various studies have
stated that studying and understanding Cu
x
S have been a
long term challenge [4–6, 16–18], especially in computational
works, which is mainly due to the complex behavior of copper
in Cu
2
S. Experimental and theoretical studies have shown
that Cu vacancies are inevitable in Cu
2
S. Hence, for the
efective usage as a solar absorber material an understanding
and a detail map of Cu
2
S phases based on Cu vacancy con-
centrations are essential. To avoid excessive p-type doping,
it is desirable to stabilize a phase of Cu
x
S near = 2.
It can be assumed that at thermodynamic equilibrium, low
chalcocite structure may sustain these composition ranges
near = 2. However, this has not been tested and not
reported anywhere. To the best of our knowledge, no phases
have been so far identifed with the chemical composition
2 > > 1.97. Hence, it is important to study Cu
x
S com-
pounds with diferent possible structures with a value of
Hindawi Publishing Corporation
International Journal of Photoenergy
Volume 2015, Article ID 478978, 7 pages
http://dx.doi.org/10.1155/2015/478978