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Senhri Journal of Multidisciplinary Studies, Vol. 4, No. 2 (July - December 2019), p. 72-79
© SJMS, 2019 72
Senhri Journal of Multidisciplinary Studies
A Journal of Pachhunga University College
(A Peer Reviewed Journal)
https://senhrijournal.ac.in
DOI: 10.36110/sjms.2019.04.02.008
ISSN: 2456-3757
Vol. 04, No. 02
July-Dec., 2019
Open Access
ELECTRONIC PROPERTIES OF HYDROGENATED
HEXAGONAL BORON NITRIDE (h-BN): DFT STUDY B. Chettri
1,2, P. K. Patra
2, Sunita Srivastava
3,4, Lalhriatzuala
1, Lalthakimi Zadeng
5 &
D. P. Rai1*
1Physical Sciences Research Center (PSRC), Department of Physics, Pachhunga University
College, Aizawl, Mizoram, India 2Department of Physics, North-Eastern Hill University (NEHU), Shillong, Meghalaya, India
3Department of Physics, Panjab University, Chandigarh, Punjab, India
4Department of Physics, Guru Jambheshwar University of Science and Technology, Hisar,
Haryana, India 5Department of Physics, Mizoram University, Aizawl, Mizoram, India
*Corresponding Author: [email protected]
Dibya P. Rai: https://orcid.org/0000-0002-3803-8923
Keywords: BN monolayer, hydrogenated, band gap, metallic, adsorption energy.
Introduction
The exfoliation of ultrathin 2D
carbon sheet called graphene from the bulk
graphite has given the new direction in the
field of digital technology (Novoselov et al.,
2004). However, the implementation of
graphene as the novel electronic material in
the advancement of new technology has
plenty of draw backs due to the absence of
band gap. The nanoscale materials
ABSTRACT
In this work, we have constructed the hydrogenated hexagonal boron nitride (h-BN) by
placing hydrogen atom at different surface sites. The possibility of hydrogen adsorption on
the BN surface has been estimated by calculating the adsorption energy. The electronic
properties were calculated for different hydrogenated BNs. The theoretical calculation was
based on the Density Functional Theory (DFT). The electron-exchange energy was treated
within the most conventional functional called generalized gradient approximation. The
calculated band gap of pure BN is 3.80 eV. The adsorption of two H-atoms at two
symmetrical sites of B and N sites reduces the band gap value to 3.5 eV. However, in all
other combination the systems show dispersed band at the Fermi level exhibiting conducting
behavior. Moreover, from the analysis of band structure and Density Of States we can
conclude that, the hydrogenation tunes the band gap of hexagonal boron nitride.
Senhri Journal of Multidisciplinary Studies, Vol. 4, No. 2 (July - December 2019), p. 72-79
© SJMS, 2019 73
exhibiting graphene like properties with
finite band gap can be a perfect replacement.
The exfoliation of 2D graphene like
materials from the same group element can
be crucial. In this regard, 2D Boron Nitride
(BN) with hexagonal lattice looks promising
as the presence of sp2 hybridized B-N bonds
is same as the C-C bond in graphene (Wang
et al., 2017; Fujimoto, 2017). The other
reason being the finite value of band gap,
low density, great thermal conductivity,
chemically stable, high tensile strength etc.
The most common methods like Chemical
Vapor Deposition (CVD) and segregation
method (Ortiz et al., 2018; Shi et al., 2010)
are used to exfoliate 2D graphene like
hexagonal materials namely, BN, ZnS, ZnO,
CdO, Silicene, Germanene, transition metal
chalcogenides (TMDs), etc., (Lalrinkima et
al., 2019; Mak et al., 2010; Rai et al., 2018;
Kaur et al., 2016) from wurtzite structures.
They are used as anti-oxidation layer (due to
its thermal conductivity), lubricants, in the
field of nanoelectronics, cosmetics etc.,
(Wang et al., 2017; Fujimoto, 2017). Its
large band gap is studied to be utilized as
non-conducting substrate in electrical
applications (McCulloch et al., 2000). BN
has also been extensively used for
performance FETs (Meric et al., 2010),
substrate of graphene based FETs (Meric et
al., 2010) as well as metal decorated BN for
hydrogen storage (Zhang et al., 2017).
Rigorous research is in progress on h-BN as
a gas sensor. DFT study shows a promising
gas sensing ability of the h-BN in the
presence of external electric field (Zhang et
al., 2017). Chen et al., (2010) performed
DFT study using Vienna ab initio simulation
package (VASP) of the hydrogenation on
boron nitride nanoribbons and it was
observed that depending upon the
percentage of hydrogenation, there was
transition from semiconductor-half-metal-
metal (Chen et al., 2010). Rad & Ayub
(2016) using Gaussian 09 suite studied the
ability of nickel decorated BN nano-cluster
for hydrogen molecule storage. Li et al.,
(2008) also performed ab initio calculations
on the hydrogenated boron nitride nanotubes
using the SIESTA package where they
showed the possibility of tuning the
magnetic properties of the boron nitride
nanotubes upon hydrogenation and also by
creating defects (Li et al., 2008). Increase in
population have increased the demand for
fossil fuels. Fossil fuels being limited in
nature, also contributes in the environmental
pollution. Hydrogen has many advantages
over the fossil fuel due to its light weight,
high energy density and produces water
upon combustion meaning it doesn’t
contribute in the environmental pollution
(Bromley, 2002). The major problem for
hydrogen to be utilized as an energy carrier,
lies in its storage. The present techniques are
risky and not cost effective.
In quest for promising hydrogen
storage materials, we have carried forward
our work with h-BN monolayer. In this
paper, we have investigated the hydrogen
adsorption ability at different sites by
calculating the adsorption energy at different
sites. Also, we have calculated the energy
band structures, DOS to highlight the effect
of the hydrogenation on the electronic and
structural properties of h-BN monolayer.
Materials and Methodology
A 2D graphene like hexagonal
monolayer structure has been constructed
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© SJMS, 2019 74
from Boron and Nitrogen atoms by taking
the experimental lattice constant a=b=2.502
Å (Caldwell et al., 2019). The hydrogen
atoms are adsorbed at different surficial
sites, as shown in Fig. 1. The B and N atom
has taken the hexagonal lattice and are
allowed to extend in x-y plane. However,
the transverse repetition of BN layers along
the z-axis has been terminated by taking the
vacuum of 10 Å. The vacuum along z-axis
has been introduced to break the transverse
symmetry which prevent the inter layer
interaction. The hexagonal structure was
optimized by conjugate gradient (CG)
method till HF-force reaches 0.01 eV/Å.
The calculated optimized lattice constant is
found to be a=b=2.486 Å which is consistent
with the experimental one (Caldwell et al.,
2019). The electronic structure calculations
was carried out by a DFT-based
computational code “SIESTA” which works
with pseudo-potential and numerical nano-
orbitals (NAOS) (Soler et al., 2002). The
most common functional like generalized
gradient approximation (PBE-GGA) is used
for exchange correlation of valence
electrons. To calculate the band structure,
hybrid functional are considered as more
accurate. As, the hybrid functional are
expensive, so we performed our calculations
using PBE-GGA which provides the result
in close range. The first Brillouin zone was
sampled with optimized k-mesh 8x8x1in
Monkhorst-pack scheme. The adsorption
energy has been calculated from Eq. (1):
𝐸𝑎𝑑 =−1
2 𝐸𝑠𝑦𝑠 − 𝐸𝑠𝑙𝑎𝑏 + 𝑛𝐸𝑎𝑡𝑜𝑚 - (1)
Where 𝐸𝑠𝑦𝑠 is the energy of total
system, 𝐸𝑠𝑙𝑎𝑏 is the energy of monolayer
BN , n is the number of adsorbed atoms and
𝐸𝑎𝑡𝑜𝑚 is the energy of single hydrogen
atom.
Results & Discussion
The optimized lattice constant was
used for the calculation of electronic
properties. We have considered number of
h-BN monolayer with hydrogen atom at
different atomic sites. We have studied ten
hydrogenated BN monolayers with H-atoms
at different sites on the surface. The
adsorption energy were also calculated for
different hydrogenated BN monolayers.
Since PBE-GGA underestimates the band
gap, we have found a band gap of 3.8eV
which is less than the reported value for pure
BN monolayer which lies in the range of
3.6-6.2eV which are obtained theoretically
using first principle study based on Density
Functional Theory (DFT) using different
approximations on Vienna ab initio
simulation package, Spanish Initiative for
Electronic Simulation with Thousands of
Atoms, QUANTUM EXPRESSO as well as
from different experimental techniques like
laser-induced fluorescence measurements,
Ultraviolet Lasing of Hexagonal Boron
Nitride, luminescence excitation
spectroscopy etc., (Solozhenkoa et al., 2001;
Fan et al., 2011; Zupan & Kolar, 1972;
Lopatin & Konusov, 1992; Watanabe et al.,
2004; Kaloni & Mukherjee, 2011; Schuster
et al., 2018; Gao, 2012; Zhou et al., 2010;
Elias, 2019; Ba et al., 2017; Beiranvand &
Valedbagi, 2015; Topsakal et al., 2009). The
formation of band gap in monolayer BN is
mainly due to the contribution of B-p and N-
p orbitals similar to graphene. The sp2
hybridization gives strong covalent bond as
a result the system BN monolayer does not
interact with the host elements very easily.
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Figure 1: Hexagonal Structure of (a) pure BN (b) H-atom at top of BN surface (c) H-atom
at top and bottom sides of both BN (H-green , B-blue , N-red)
Table 1: Experimentally and theoretically reported band gap value of pristine h-BN
monolayer. Other reported band gap values are provided in references.
Sl. No. Experimental and DFT Method Band Gap (eV) Reference
1 Fluorescence excitation spectra (Exp.) 4.02 (Solozhenkoa et al., 2001)
2 DFT using Projector Augmented Wave (PAW)
Potential and PW91 as functional. 4.64 (Topsakal et al., 2009)
However, we intend to study the adsorption
ability of BN monolayer by adding H-atoms
on the surface. Among ten hydrogenated BN
monolayers only two of them exhibit
semiconducting behavior in which H-atoms
are symmetrically placed at the top and
bottom. The calculated band gap of
hydrogenated BN monolayers are 3.5 eV
and 3.9 eV for B1N1 and B2N2
respectively. The result of Density Of States
and band structure shows that B1N1 and
B2N2 hydrogenated system shows the
nature of an insulator with finite band gap
3.5-3.9 eV [Fig. 2a & Fig. 3(a,b)]. The rest
of hydrogenated BN monolayer shows
metallic behavior due to the presence of
dispersed band around the fermi energy
[Fig. 2(b,c)]. The dispersed band around the
Fermi energy may be accounted by the H-
atoms having single electron which behave
like a free charge carriers on the surface of
the BN monolayer.
In order to examine the ground state
stability of the hydrogenated system we
have calculated the adsorption energy from
Eq. (1) by adding the H-atoms on the
surface at different atomic sites. The
adsorption energies for different
hydrogenated systems has been displayed in
Fig. 3d. The adsorption energy measures the
ability of BN monolayer as a host for
incoming H-atom. Moreover, the negative
value of adsorption energy gives the ground
state stability and predicts the suitable
location for H-atom to reside in the host BN
monolayer. Among all hydrogenated BN
monolayer that we have considered in our
study only two systems like B-t-b-c-N
(Hydrogen at top bottom and centre site) and
B-2N (Hydrogen at top, bottom of Boron)
has given the negative value of adsorption
energy resembling an exothermic process.
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© SJMS, 2019 76
Figure 2: Total Density Of States - (a) pure BN (BN-black), 1H-atom each at the top of BN
(B1N1-red), 1H-atom each at the top & bottom of BN (B2N2-green) (b) 1H-atom
at B & 2H-atoms at N (B1N2-green), 2H-atoms at B (B2N-red), 2H-atoms at B &
1H-atom at N (B2N1-blue), 1H-atom at B & 2H-atoms at N (BN2-black) and (c)
2H-atoms at BN & 1H-atom at centre (2B-c-N2-black), 2H-atoms at BN & 2H-
atoms at top-bottom of centre site (2B-tb-N2-green) , 2H-atoms at BN & 3H-
atoms at top-bottom-centre (2B-tcb-N2-blue).
(a)
(b)
(c)
(d)
Figure 3: Band structure (a) 1H-atom each at the top of both BN (b) 1H-atom each at the
top & bottom of both BN (c) pure BN and (d) Adsorption energy of different
hydrogenated h-BN
Conclusion
We have calculated the electronic
properties of pristine BN monolayer and
hydrogenated BN monolayers from the first
principles calculation with generalized
gradient approximation as electron
exchange-correlation functional. The
calculated band gap for the BN was found to
be 3.8 eV. Also upon hydrogenationno
structural deformation was observed. Most
of the hydrogenated BN monolayers exhibit
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© SJMS, 2019 77
metallic properties except for B1N1 and
B2N2 with paired symmetric hydrogen on
top and bottom. Our random sampling of
adsorption of H-atoms on the surface of BN
monolayer gives positive values. But still
there are few hydrogenated system with
negative value of adsorption energy which
predicts that BN monolayer is a suitable host
for adsorbing hydrogen atoms and the work
can be further expanded for its hydrogen
storage suitability by checking other
parameters like gravimetric density(weight
percentage) etc. Also, selective
hydrogenation can be considered as one of
the mechanism to tune the band gap of the
h-BN.
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