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First principles investigations of Cobalt and Manganese doped Boron
Nitride Nanosheet for Gas Sensing Application
Mohammad Tanvir Ahmed1, Sayedul Hasan2, Shariful Islam2, a, and Farid Ahmed2
1 Department of Physics, Jashore University of Science and Technology, Jashore, Bangladesh
2 Department of Physics, Jahangirnagar University, Dhaka 1342, Bangladesh
a Corresponding Author's Email: s_islam@juniv.edu
Abstract
In the present study, Cobalt (Co) and Manganese (Mn) doped Boron Nitride nanosheet (BNNS) has
been designed for density functional theory calculation. The variation in structural, electronic, and
optical properties of BNNS due to Co and Mn doping has been studied along with the gas sensing ability
of the designed nanosheets towards CH4, H2S, NH3, O3, PH3, and SO2 hazardous gases. Co and Mn
doping in the BNNS result in an insulator-to-conductor and insulator-to-semiconductor transition,
respectively. Co and Mn-doped BNNS show a stronger interaction with the selected gases resulting in
high adsorption energy. The designed sheets show the strongest interaction with the O3 molecule
resulting in a very high recovery time. Though doping results in significant structural deformation of
the BNNS, a slight variation in bond length is observed due to gas adsorption. BNNS demonstrate a
substantial drop in the band gap due to O3 and SO2 adsorption. In other cases, significant variations in
the band gap of all the designed sheets are observed after gas adsorption. All the structures show a very
high absorption coefficient of 105 cm-1 order which shows a slight peak shifting due to the interaction
with toxic gases.
Keywords: DFT; boron nitride; gas sensor; recovery time; adsorption.
Introduction
Rapid industrialization has increased environmental pollution from industrial wastes and other
byproducts, which requires continuous monitoring. The environment contains a variety of hazardous
gases, such as CH4, CO, SO2, CO2, NO, NH3, CH3OH, H2S, O3, PH3, and COCl2, which are produced
by motorized traffic, power plants, industry, biological waste, and other factors [1–7]. Although CH4 is
not a hazardous gas, it is highly flammable and can be poisonous to the lungs if inhaled in large amounts
[3]. The H2S is an acidic, flammable, and toxic gas that can harm the nervous system severely and
permanently [5]. PH3 is a highly toxic gas that can damage the kidney, nervous, and respiratory systems
due to excessive exposure [6]. Ozone exposure harms the lungs and extrapulmonary organs when
inhaled for a long time [7]. At concentrations over a certain threshold, SO2 may seriously injure humans
and the environment [5].
In order to provide a better living environment, monitoring these hazardous gases is essential, which is
what motivated the development of novel methods of sensing these gases [8]. Researchers have gained
a keen interest in two-dimensional (2D) materials due to the historic discovery of graphene. However,
graphene is unsuitable for sensing applications due to zero band gap and poor sensitivity [9].
Researchers have identified graphene-like hexagonal boron nitride (BN) as a promising gas-sensing
material. BN possesses better structural, chemical, and thermal stability, enhanced optical properties,
and a wide band gap compared to graphene [10–12]. BN is a potential gas-detecting material, especially
for severe environments, due to its strong thermal conductivity and excellent thermal stability. Various
gas molecules (NO2, NO, NH3, CO, CH4, H2, etc.) have been adsorbing to the surface of BN both
computationally and experimentally [13–16]. Boron nitride nanosheets (BNNS) produced
experimentally showed great sensitivity to methane gas [17]. Khan et al. studied the borophene/BN
interface, which strongly interacted with various industrial gases [18]. Mawwa et al. studied SO2 and
CO adsorption on in-plane graphene/BNNS, which showed better interaction with SO2 than CO [19].
Young et al. reported that carbon nitride (CN) monolayer showed a high sensitivity for H2S, NO, and
NH3 at room temperature [20]. According to the investigation of Mohammadi and Hamzehloo, BN
nanotubes and Carbon nanotubes showed physisorption, whereas Aluminum nitride nanotubes and
silicon carbide nanotubes showed strong chemisorption of CH3Br [21]. Bian et al. synthesized porous
BN, which showed a fast response toward H2S gas [22].
Doping of elements on BN structure is one of the ways to improve the gas sensing performance. Sazzad
et at. fabricated Carbon doped BNNS, which showed a strong sensing ability for methane gas [16].
According to the study of Fadlallah et al., Al-doped BN nanocones show higher sensitivity for NO2 and
SO2 compared to intrinsic BN nanocones [23]. Al and Ga-doped BN nanotube showed strong interaction
with NH3 gas, whereas Al and Ga-doped BNNS showed high sensitivity toward halomethanes [24,25].
Pi et al. studied the DFT analysis of Ni-doped BN nanotube, which showed strong adsorption of SO2
gas [26]. Yadav et al. studied the doping effect of Cr, Ni, Si, O, Al, C, and S on BNNS, where C-doped
BNNS proved to be a potential material for NO2 adsorption [27]. Al and Si-doped BN nanostructure
was designed by Moladoust et al., which showed higher adsorption energy for phosgene gas compared
to pristine BN structure [28]. Mn-doped BN nanotube showed promising sensing ability toward SO2
gas [29]. Cobalt (Co)-transition metal co-doped BNNS reported as promising materials for spintronic
applications [10]. Co-doped BN nanotube showed strong interaction with CO2 gas [30]. BNNS showed
strong binding energy with different metallic dopants, e.g., Co, Mn, Fe, Ni, and so on [31]. Tizroespeli
et al. investigated the magnetic, optical, and electronic properties of Cobalt (Co) and Manganese (Mn)
doped BNNS, which showed outstanding potential for spintronic and optoelectronic performance [32].
The remarkable properties of Co and Mn-doped BNNS and BN nanotube inspired us to study further
the gas sensing ability of Co and Mn-doped BNNS.
Here we studied the effect of Cobalt (Co) and Manganese (Mn) doping on the BNNS and observed the
variations in structural, electronic, and optical properties due to doping. We also studied and compared
the sensing ability of BNNS, Co-doped BNNS (Co-BNNS), and Mn-doped BNNS (Mn-BNNS) towards
CH4, H2S, NH3, O3, PH3, and SO2 hazardous gas molecules. To our best knowledge, similar studies on
the Co, Mn-doped BNNS have not been reported before.
Computational Details
All the simulations were performed using the plane-wave ultrasoft pseudopotential based on the density
functional theory (DFT) throughout the Cambridge Serial Total Energy Package (CASTEP) [33]. The
contribution to optoelectronic properties was investigated by taking into account the valance electrons
of Nitrogen (N), Boron (B), Cobalt (Co), and Manganese (Mn). For the exchange-correlation correction,
the generalized gradient approximation of the Perdew-Burke-Ernzerhof method was utilized [34].
Broyden–Fletcher–Goldfarb–Shanno (BFGS) minimization algorithm was employed for structural
optimization [35]. For better optoelectronic properties, we construct 4×4×1 supercells of hexagonal BN
nanosheet structure where a 3×3×1 k-point mesh following the scheme of Monkhorst-Pack was used to
calculate the electronic and optical properties [33]. The effect of different plane-wave cutoff (PWC)
energies, i.e., 330 eV, 350 eV, 370 eV, and 400 eV, was studied in the optimization process of the
pristine BNNS structure among which the minimum energy was obtained via 400 eV PWC energy.
Hence, plane-wave cutoff energy of 400 eV was used throughout the rest of the computations. Geometry
optimization was accomplished by using convergence criteria of maximum stress to be 0.05 GPa, 3×10-
2 eV/atom for maximum force, 1.0×10-5 eV/atom for total energy, and 0.001 Å for displacement [33].
While doping, one B atom was replaced by Co or Mn atom. In order to study the sensitivity of the
nanosheets toward the toxic gas molecules, the adsorption energy (Eads) was calculated by the following
equation.
.
(1)
Where, ENS+gas, ENS, and Egas represent the energy of the gas-adsorbed nanosheet, nanosheet (without
gas molecule), and gas molecule, respectively. The stability of the adsorbed gas on the nanosheets is
verified by the negative adsorption energy and the real phonon frequency [29]. The phonon frequency
was not studied in this research for simplicity; however, the stable adsorption configuration was
obtained using the adsorption locator module [36–38].
Results and Discussion
Geometric Analysis
Table 1: Bond Length (Å) variation due to gas adsorption on BNNS
Bond
type
BNNS
BNNS+CH4
BNNS+H2S
BNNS+NH3
BNNS+O3
BNNS+PH3
BNNS+SO2
B-N
1.449
1.449
1.449
1.449
1.449
1.449
1.449
C-H
--
1.095
(1.096)
--
--
--
--
--
S-H
--
--
1.35
(1.358)
--
--
--
--
N-H
--
--
--
1.0296
(1.024)
--
--
--
O-O
--
--
--
--
1.293
(1.280)
--
--
O=O
--
--
--
--
1.289
(1.277)
--
--
P-H
--
--
--
--
--
1.425
(1.429)
--
S=O
--
--
--
--
--
--
1.45
(1.451)
The studied geometrical bond lengths between different atoms (i.e., boron, Carbon, nitrogen, hydrogen,
oxygen, phosphorus, and sulfur) of the optimized structure of BNNS (before and after the adsorption
of different gas molecules) are represented in Figure 1. The values in the parenthesis represent the
atomic bond length of the gas molecules before adsorption (Table 1). According to the study, the
average B-N bond lengths do not seem to vary due to adsorption, which signifies a negligible
deformation of the BNNS after interaction with gases. The bond lengths of the BNNS satisfy previous
reports [39]. However, a significant change in the bond lengths of the gas molecules is observed after
adsorption. The average B-N bond lengths have slightly varied due to Co (Table 2) and Mn (Table 3)
doping. The Co-N and Mn-N bond lengths satisfy previous reports [40–42]. For both Co and Mn-doped
BNNS, slight structural deformation is observed due to adsorption. Figure 2 and Figure 3 show the
geometry of pristine and gas-adsorbed Co-BNNS and Mn-BNNS, respectively.
Figure 1: The geometry of pristine and gas-adsorbed BNNS
Figure 2:The geometry of pristine and gas-adsorbed Co-BNNS
Figure 3:The geometry of pristine and gas-adsorbed Mn-BNNS
Table 2:Bond Length (Å) variation due to gas adsorption on Co-BNNS
Bond type
Co-
BNNS
Co-BNNS
+ CH4
Co-BNNS
+ H2S
Co-BNNS
+ NH3
Co-BNNS
+ O3
Co-BNNS
+ PH3
Co-BNNS
+ SO2
B-N
1.452
1.452
1.452
1.453
1.45
1.452
1.45
Co-N
1.81
1.815
1.837
1.847
1.826
1.842
1.823
C-H
--
1.096
--
--
--
--
--
S-H
--
--
1.357
--
--
--
--
N-H
--
--
--
1.033
--
--
--
O-O
--
--
--
--
1.375
--
--
O=O
--
--
--
--
1.374
--
--
P-H
--
--
--
--
--
1.418
--
S=O
--
--
--
--
--
--
1.505
Table 3: Bond Length (Å) variation due to gas adsorption on Mn-BNNS
Bond type
Mn-BNNS
Mn-BNNS
+CH4
Mn-BNNS
+H2S
Mn-BNNS
+ NH3
Mn-BNNS
+O3
Mn-BNNS
+PH3
Mn-BNNS
+SO2
B-N
1.454
1.4537
1.453
1.4536
1.451
1.453
1.451
Mn-N
1.921
1.925
1.947
1.957
1.91
1.947
1.91
C-H
--
1.095
--
--
--
--
--
S-H
--
--
1.356
--
--
--
--
N-H
--
--
--
1.03
--
--
--
O-O
--
--
--
--
1.378
--
--
O=O
--
--
--
--
1.379
--
--
P-H
--
--
--
--
--
1.419
--
S=O
--
--
--
--
--
--
1.536
Adsorption Properties
Table 4: Adsorption energy (eV) and length of the BNNS, Co-BNNS, and Mn-BNNS sheet for
gas molecules
Adsorbed
gas
Adsorption energy (eV)
Adsorption Length (Å)
BNNS
Co-BNNS
Mn-BNNS
BNNS
Co-BNNS
Mn-BNNS
CH4
-0.16
-0.12
-0.14
3.76
2.269
2.314
H2S
-0.26
-0.68
-0.65
3.49
2.335
2.484
NH3
-0.12
-1.26
-0.94
3.94
2.024
2.22
O3
-0.17
-2.96
-3.18
3.179
2.005
2.085
PH3
-0.02
-0.96
-0.88
4.274
2.269
2.44
SO2
-0.18
-1.24
-1.36
3.414
1.954
2.16
Adsorption energy is the interaction energy required to adsorb gas molecules to the surface of the
adsorbent. The adsorption energies were computed and shown in Table 4 along with the associated
adsorption height for various absorbed gases. The adsorption energies are negative for the selected
gases; hence, each of the gas molecules CH4, H2S, NH3, O3, PH3, and SO2 were adsorbed on BNNS,
Co-BNNS, and Mn-BNNS, respectively, among which H2S shows the most substantial interaction with
BNNS whereas, O3 is strongly adsorbed in Co-BNNS and Mn-BNNS compared to all other gases.
All the gases show strong interaction with Mn-BNNS and Co-BNNS compared to BNNS. The
adsorption heights are small for the adsorbent Mn-BNNS and Co-BNNS but large for the BNNS. All
the gases have a higher magnitude of adsorption energy on the designed metal-doped BNNS compared
to graphene, B-doped graphene, boron nitride nanotube, arsenene nanosheet, and so on [5,6,43–46].
However, the adsorption energies of H2S, CH4, and NH3 are weaker on the designed nanosheets than
on WO3 and MoS2 sheets [47,48]. The observed adsorption energies suggest that Co-BNNS and Mn-
BNNS are more suitable than BNNS for the selected gas sensing. The adsorption length of H2S, CH4,
NH3, PH3, and SO2 is comparatively higher on BNNS but lower in Co-BNNS and Mn-BNNS than on
the boron-carbon-nitride structure [19,49,50].
Table 5: Recovery time (s) of different adsorbates in the nanosheets
Adsorbed
gas
BNNS
Co-BNNS
Mn-BNNS
CH4
5.08×10-10
1.07×10-10
2.3×10-10
H2S
2.5×10-8
0.317
0.098
NH3
1.07×10-10
2.04×109
7.9×103
O3
7.5×10-10
1.15×1038
6.06×1041
PH3
2.18×10-12
1.7×104
764.08
SO2
1.11×10-09
9.4×108
1.0×1011
One of the crucial properties, the recovery time of the sensing materials, can be estimated from equation
2 [19],
,
(2)
where K and T represent Boltzmann's constant (8.617×10-5 eV.K-1) and temperature, respectively.
Experimentally a sensor is recovered by exposing it to UV radiation with a frequency of (fo = 1012 to
3×1014 Hz) at a temperature of 298 to 350 K. In this research, we calculated the recovery time using fo=
1012 Hz and T= 298 K [19]. The recovery time of the pristine BNNS ranges between ~10-12 s to ~10-8 s
(Table 5), whereas it extends to the order of 1038s and 1041s for Co-BNNS and Mn-BNNS due to higher
adsorption energies. The high recovery time of O3 in the Co-BNNS and Mn-BNNS makes it too hard
for practical application.
Electronic Properties
Mulliken Charge Analysis
The charge analysis using the Mulliken population analysis (MPA) [51] indicates that about 0.84e
charges on average are transferred from the B atoms to its adjacent N atoms within the sheet due to
higher electronegativity of the N atom, indicating the partially ionic character of the B–N bonds in the
pristine BNNS. After the adsorption of the gas molecules, the B and N atoms still show partially positive
and negative charges, respectively. The elements (N, C, O, and P) show partially negative charges due
to their electronegativity, suggesting N, C, O, and P are electron acceptors. The S atom shows a partially
negative charge in H2S, whereas there is a partially positive charge in SO2 since the O atom is
comparatively more electronegative than the S atom. Hence the S atom acts as the electron acceptor in
H2S but acts as the electron donor in the SO2 molecule (Table 6).
Being electropositive elements, Co (Table 7) and Mn (Table 8) show the maximum partial positive
charges in the Co-BNNS and Mn-BNNS structure, respectively. The partial positive charge of Co and
Mn increased after gas adsorption, i.e., electrons are pulled toward the electronegative elements of the
gas molecules. The charge distribution of all other elements follows a similar pattern for both doped
nanosheets after adsorption.
Table 6: Mulliken Charge distribution of pristine and gas-adsorbed BNNS
Elements
BNNS
BNNS+CH4
BNNS+H2S
BNNS+NH3
BNNS+O3
BNNS+PH3
BNNS+SO2
B
0.84
0.835
0.863
0.835
0.837
0.84
0.836
N
-0.84
-0.835
-0.863
-0.86
-0.832
-0.838
-0.836
H
--
0.27
0.19
0.41
--
0.04
--
C
--
-1.09
--
--
--
--
--
O
--
--
--
--
-0.026
--
-0.8
P
--
--
--
--
--
-0.12
--s
S
--
--
-0.38
--
--
--
1.6
Table 7:Mulliken Charge distribution of pristine and gas-adsorbed Co-BNNS
Elements
Co-
BNNS
Co-BNNS
+ CH4
Co-BNNS
+ H2S
Co-BNNS
+ NH3
Co-BNNS
+ O3
Co-BNNS
+ PH3
Co-BNNS
+ SO2
B
0.79
0.791
0.785
0.769
0.799
0.786
0.798
N
-0.82
-0.824
-0.823
-0.829
-0.810
-0.822
-0.818
Co
1.28
1.58
1.53
1.56
1.50
1.35
1.39
H
--
0.22
0.18
0.403
--
0.043
--
C
--
-1.0
--
--
--
--
--
O
--
--
--
--
-0.177
--
-0.77
P
--
--
--
--
--
-0.12
--
S
--
--
-0.28
--
--
--
1.25
Table 8: Mulliken Charge distribution of pristine and gas-adsorbed Mn-BNNS
Elements
Mn-
BNNS
Mn-BNNS
+ CH4
Mn-BNNS
+H2S
Mn-BNNS
+ NH3
Mn-BNNS
+ O3
Mn-BNNS
+ PH3
Mn-BNNS
+ SO2
B
0.795
0.79
0.785
0.783
0.80
0.787
0.797
N
-0.82
-0.821
-0.821
-0.822
-0.813
-0.818
-0.812
Mn
1.25
1.39
1.30
1.38
1.52
1.32
1.48
H
--
0.22
0.17
0.4
--
0.04
--
C
--
-0.99
--
--
--
--
--
O
--
--
--
--
-0.18
--
-0.8
P
--
--
--
--
--
-0.16
--
S
--
--
-0.31
--
--
--
1.15
Band Gap Analysis
Figure 4 represents the band structure of the pristine BNNS and gas-adsorbed BNNS. All structures
except SO2 + BNNS show an indirect band gap with conduction band minimum (CBM) at G point and
valence band maximum (VBM) at Q point in the K-space. The band gap pristine BNNS is about 4.7 eV
which is analogous to previous studies [52]. The band gap of BNNS decreased after gas adsorption,
among which, after adsorbing O3, the band gap decreased significantly, which satisfies previous
research [53]. According to the band gap study, an insulator-to-semiconductor transition is observed
after O3 and SO2 adsorption. Hence, the BNNS can show a strong electronic response via O3 and SO2
adsorption. For all other complexes, the band gap is very wide.
Figure 4: Band structures of pristine and gas-adsorbed BNNS
Figure 5 represents the band structure of the pure and gas-adsorbed Co-doped BNNS. Since the
conduction band (CB) overlaps with the valance band (VB), an insulator-to-conductor transition is
occurred due to Co doping. After the adsorption of the CH4 molecule, the complex still acts like a
conductor with a zero band gap. However, semiconducting properties arise after the adsorption of the
other gas molecules. Hence, the Co-doped BNNS can offer a significant change in electrical
-6
-4
-2
0
2
4
6
Band gap= 1.720 eV
Energy (eV)
BNNS + SO2
QG
GFZ
-6
-4
-2
0
2
4
6
Band gap= 0.292 eV
Energy (eV)
BNNS + O3
QG
G F Z
-6
-4
-2
0
2
4
6
Band gap= 4.538 eV
Energy (eV)
BNNS + PH3
QG
G F Z
-6
-4
-2
0
2
4
6
Band gap= 4.531 eV
Energy (eV)
BNNS + H2S
QG
GFZ
-6
-4
-2
0
2
4
6
Band gap= 4.663 eV
Energy (eV)
BNNS + CH4
QG
GFZ
-6
-4
-2
0
2
4
6
Band gap= 4.552 eV
Energy (eV)
BNNS + NH3
QG
GFZ
-6
-4
-2
0
2
4
6
Band gap= 4.725 eV
QG
GF
Energy (eV)
Pristine BNNS
Z
conductivity through the interaction with H2S, NH3, O3, PH3, and SO2 gases, suggesting it to be a
promising material for toxic gas sensing. The indirect band gap arises with CBM at Q point and VBM
at G point.
The Mn-doped BNNS is a direct band gap semiconductor with VBM and CBM located at the Q point
(Figure 6). After gas adsorption, the band gap decreased significantly, i.e., a rise in electrical
conductivity can be observed due to interaction with the toxic gases, which can offer a better gas sensing
ability. Indirect band gaps were observed for the Mn-BNNS+CH4, Mn-BNNS+H2S, Mn-BNNS+NH3,
Mn-BNNS+PH3, and Mn-BNNS+SO2 with VBM at G point and CBM at Q point, whereas Mn-
BNNS+O3 possessed a direct band gap with VBM and CBM at Q point.
Figure 5: Band structures of pristine and gas-adsorbed Co-BNNS
-3
-2
-1
0
1
2
Band gap = 0.647 eV
Energy (eV)
Co-BNNS+SO2
G
Z
Q
F
G
-2
-1
0
1
2
Band gap = 0.258 eV
Energy (eV)
Co-BNNS+O3
G
ZQ
F
G
-3
-2
-1
0
1
Band gap = 0.342 eV
Energy (eV)
Co-BNNS+PH3
G
ZQ
F
G
-2
-1
0
1
2
3
Energy (eV)
Co-BNNS + CH4
G
Z
Q
F
G
-2
-1
0
1
2Band gap = 0.093 eV
Energy (eV)
Co-BNNS+NH3
G
Z
Q
F
G
-3
-2
-1
0
1
2
3Band gap = 0.155 eV
Energy (eV)
Co-BNNS+H2S
G
ZQ
F
G
-1
0
1
2
G
Z
Q
F
Energy (eV)
Co-BNNS
G
Figure 6: Band structures of pristine and gas-adsorbed Mn-BNNS
Density of States (DOS)
Figure 7: Total density of states of the pristine and gas-adsorbed nanosheets
The total density of states (TDOS) spectra of pristine and gas-adsorbed BNNS, Co-BNNS, and Mn-
BNNS are given in Figure 7. Occupied and unoccupied molecular orbitals in the scenario of BNNS
-2
-1
0
1
2
3Band gap = 0.558 eV
Energy (eV)
Mn-BNNS+SO2
G
ZQ
F
G
-2
-1
0
1
2
3Band gap = 0.460 eV
Energy (eV)
Mn-BNNS+PH3
G
ZQ
F
G
-2
-1
0
1
2
3
Band gap = 0.437 eV
Energy (eV)
Mn-BNNS-O3
G
ZQ
F
G
-2
-1
0
1
2
3Band gap = 0.680 eV
Energy (eV)
Mn-BNNS+NH3
G
ZQ
F
G
-2
-1
0
1
2
3
Energy (eV)
Band gap = 0.707 eV Mn-BNNS+H2S
G
ZQ
F
G
-3
-2
-1
0
1
2
3
Band gap = 1.243 eV
Energy (eV)
Mn-BNNS+CH4
G
Z
Q
F
G
-3
-2
-1
0
1
2
3Band gap = 1.327 eV
Energy (eV)
Mn-BNNS
G
ZQ
F
G
were far apart, suggesting BNNS to be a wide band gap insulator. New energy levels appeared on doping
the pristine BNNS. As a result, an increased charge transfer to the gas molecules was observed. The
TDOS showed a continuous value near the fermi level for Co-BNNS, suggesting a metallic behavior,
whereas a very small gap between occupied and unoccupied orbitals was observed for Mn-BNNS,
resulting in a semiconductor. A slight variation of DOS near the fermi level of Co-BNNS and Mo-
BNNS is observed after gas adsorption due to the charge transfer from the gas molecules to the
nanosheet, which caused a slight variation in the band gap after adsorption. The TDOS spectra of all
the complexes satisfy their band structures.
Optical Properties
The interaction of light with the complexes is explained by their optical properties, such as energy loss
function (LF), refractive index (η), dielectric function (DF), absorption coefficient (AC), and
reflectivity (R). These optical properties of all the structures are shown in Figure 8-13. The real ()
and imaginary () part of the dielectric function is shown in Figure 8 and Figure 9. The imaginary
component of the dielectric function provides information about how much energy is lost in the
substance, which signifies the absorption of light, whereas the real part of the dielectric function
describes polarization within the structures. From our observation, the imaginary part () gives one
peak at 223 nm for BNNS which showed a very slight shifting of up to 8nm after gas adsorption. For
Co-BNNS and Mn-BNNS, similar peak positions of is observed. This peak is connected to the inter-
band transition from the valance band to the conduction band. The real part also shows a slight peak
shifting due to gas adsorption. Both the real and imaginary part of the dielectric function of BNNS
satisfies the previous report [54].
Figure 8: Real part of complex dielectric function for BNNS, Co-BNNS, and Mn-BNNS with
toxic gases
100 200 300 400 500 600 700
-0.5
0.0
0.5
1.0
1.5
2.0
2.5
3.0
Dielectric function (imaginary)
Wavelength (nm)
Mn-BNNS
Mn-BNNS + CH4
Mn-BNNS + H2S
Mn-BNNS + NH3
Mn-BNNS + O3
Mn-BNNS + PH3
Mn-BNNS + SO2
100 200 300 400 500 600 700
0
1
2
3
4
Dielectric function (imaginary)
Wavelength (nm)
Co-BNNS
Co-BNNS + CH4
Co-BNNS + H2S
Co-BNNS + NH3
Co-BNNS + O3
Co-BNNS + PH3
Co-BNNS + SO2
100 200 300 400 500 600 700
0.0
0.5
1.0
1.5
2.0
2.5
3.0
3.5
Dielectric function (imaginary)
Wavelength (nm)
BNNS
BNNS + CH4
BNNS + H2S
BNNS + NH3
BNNS + O3
BNNS + PH3
BNNS + SO2
100 200 300 400 500 600 700
-0.5
0.0
0.5
1.0
1.5
2.0
2.5
3.0
Dielectric function (real)
Wavelength (nm)
Mn-BNNS
Mn-BNNS + CH4
Mn-BNNS + H2S
Mn-BNNS + NH3
Mn-BNNS + O3
Mn-BNNS + PH3
Mn-BNNS + SO2
100 200 300 400 500 600 700
-1
0
1
2
3
4
Dielectric function (real)
Wavelength (nm)
Co-BNNS
Co-BNNS + CH4
Co-BNNS + H2S
Co-BNNS + NH3
Co-BNNS + O3
Co-BNNS + PH3
Co-BNNS + SO2
100 200 300 400 500 600 700
-1.0
-0.5
0.0
0.5
1.0
1.5
2.0
2.5
3.0
3.5
4.0
Dielectric function (real)
Wavelength (nm)
BNNS
BNNS + CH4
BNNS + H2S
BNNS + NH3
BNNS + O3
BNNS + PH3
BNNS + SO2
Figure 9: Imaginary part of complex dielectric function for BNNS, Co-BNNS, and Mn-BNNS
with toxic gases
Figure 10: Absorption coefficient for BNNS, Co-BNNS, and Mn-BNNS with toxic gases
The AC pattern is quite similar for all the structures, with a maximum in the ultraviolet energy region
(Figure 10). The AC extends over 105 cm-1 order for all complexes, which suggests that all the structures
absorb UV wavelength very strongly. The absorption nature of the BNNS is analogous to previous
reports [55,56]. The high absorption coefficients make the BNNS, Co-BNNS, and Mn-BNNS potential
material for numerous optoelectronic applications.
The energy first absorbed by material from electromagnetic radiation is the threshold point in the
absorption. This point appears at nearly 200 nm for BNNS & Co-BNNS but 220 nm for Mn-BNNS. A
slight shifting of absorption edge occurred due to the interaction with toxic gases, suggesting a slight
optical response due to gas sensing. Due to the peak shifting and intensity variation, it will be possible
to determine the type of attached toxic gas through optical measurement [57].
Figure 11: Loss function for BNNS, Co-BNNS, and Mn-BNNS with toxic gases
100 200 300 400 500 600 700
-0.5
0.0
0.5
1.0
1.5
2.0
2.5
3.0
Dielectric function (imaginary)
Wavelength (nm)
Mn-BNNS
Mn-BNNS + CH4
Mn-BNNS + H2S
Mn-BNNS + NH3
Mn-BNNS + O3
Mn-BNNS + PH3
Mn-BNNS + SO2
100 200 300 400 500 600 700
0
1
2
3
4
Dielectric function (imaginary)
Wavelength (nm)
Co-BNNS
Co-BNNS + CH4
Co-BNNS + H2S
Co-BNNS + NH3
Co-BNNS + O3
Co-BNNS + PH3
Co-BNNS + SO2
100 200 300 400 500 600 700
0.0
0.5
1.0
1.5
2.0
2.5
3.0
3.5
Dielectric function (imaginary)
Wavelength (nm)
BNNS
BNNS + CH4
BNNS + H2S
BNNS + NH3
BNNS + O3
BNNS + PH3
BNNS + SO2
100 200 300 400 500 600 700
-0.5
0.0
0.5
1.0
1.5
2.0
2.5
3.0
Dielectric function (real)
Wavelength (nm)
Mn-BNNS
Mn-BNNS + CH4
Mn-BNNS + H2S
Mn-BNNS + NH3
Mn-BNNS + O3
Mn-BNNS + PH3
Mn-BNNS + SO2
100 200 300 400 500 600 700
-1
0
1
2
3
4
Dielectric function (real)
Wavelength (nm)
Co-BNNS
Co-BNNS + CH4
Co-BNNS + H2S
Co-BNNS + NH3
Co-BNNS + O3
Co-BNNS + PH3
Co-BNNS + SO2
100 200 300 400 500 600 700
-1.0
-0.5
0.0
0.5
1.0
1.5
2.0
2.5
3.0
3.5
4.0
Dielectric function (real)
Wavelength (nm)
BNNS
BNNS + CH4
BNNS + H2S
BNNS + NH3
BNNS + O3
BNNS + PH3
BNNS + SO2
100 200 300 400 500 600 700
0
20000
40000
60000
80000
100000
120000
Absorption Coefficient (cm-1)
Wavelength (nm)
BNNS
BNNS + CH4
BNNS + H2S
BNNS + NH3
BNNS + O3
BNNS + PH3
BNNS + SO2
100 200 300 400 500 600 700
0
20000
40000
60000
80000
100000
120000
140000
160000
Absorption Coefficient (cm-1)
Wavelength (nm)
Co-BNNS
Co-BNNS + CH4
Co-BNNS + H2S
Co-BNNS + NH3
Co-BNNS + O3
Co-BNNS + PH3
Co-BNNS + SO2
100 200 300 400 500 600 700
0
20000
40000
60000
80000
100000
Absorption Coefficient (cm-1)
Wavelength (nm)
Mn-BNNS
Mn-BNNS + CH4
Mn-BNNS + H2S
Mn-BNNS + NH3
Mn-BNNS + O3
Mn-BNNS + PH3
Mn-BNNS + SO2
100 200 300 400
0.0
0.5
1.0
1.5
2.0
2.5
3.0
3.5
Loss function
Wavelength (nm)
Mn-BNNS
Mn-BNNS + CH4
Mn-BNNS + H2S
Mn-BNNS + NH3
Mn-BNNS + O3
Mn-BNNS + PH3
Mn-BNNS + SO2
100 200 300 400
0
1
2
3
4
5
6
7
Loss function
Wavelength (nm)
Co-BNNS
Co-BNNS + CH4
Co-BNNS + H2S
Co-BNNS + NH3
Co-BNNS + O3
Co-BNNS + PH3
Co-BNNS + SO2
100 200 300 400
0
1
2
3
4
Loss function
Wavelength (nm)
BNNS
BNNS + CH4
BNNS + H2S
BNNS + NH3
BNNS + O3
BNNS + PH3
BNNS + SO2
The electron energy loss function, which explains typical plasmonic oscillations, is shown in Figure
11. The fast electrons moving through the material are responsible for its macroscopic and microscopic
features. Energy loss is evident during this phase, and the entire event is closely related to LF. The
plasmon peak is among the most important peaks in the energy loss function spectrum. These peaks
and the atypical peaks of reflectivity are connected.
Figure 12: Reflectivity for BNNS, Co-BNNS, and Mn-BNNS with toxic gases
Regarding wavelength, the optical reflectivity of BNNS, Co-BNNS, and Mn-BNNS with toxic gases
was calculated and shown in Figure 12. The minimum reflectivity is observed for Mn-BNNS compared
to BNNS and Co-BNNS. For BNNS and Co-BNNS, about 35% of the incident energy in the UV region
is reflected. The visible energy loss due to reflection is significantly less for all the complexes. The
reflectivity spectra also showed slight peak shifting and changes in peak intensity after gas adsorption.
Hence the reflected energy can be used to determine the adsorbed gas type [57].
Figure 13: Refractive index for BNNS, Co-BNNS, and Mn-BNNS with toxic gases
The Refractive index is energy-dependent. The highest refractive index value is associated with the
lowest absorption energy for all systems between 250 and 280 nm. Figure 13 makes it clear how the
refractive index continues to drop as absorption increases to higher levels. For all systems, the local
maxima of the real component of the refractive index are correlated with the local maxima of the real
part of the dielectric function. The variation in the refractive index suggests that the speed of the
electromagnetic spectrum in the medium changes after gas adsorption, which can be a way of detecting
the adsorbed gas. The refractive index of BNNS follows the previous research [54].
100 200 300 400 500 600 700
0.00
0.05
0.10
0.15
0.20
0.25
Reflectivity
Wavelength (nm)
Mn-BNNS
Mn-BNNS + CH4
Mn-BNNS + H2S
Mn-BNNS + NH3
Mn-BNNS + O3
Mn-BNNS + PH3
Mn-BNNS + SO2
100 200 300 400 500 600 700
0.0
0.1
0.2
0.3
0.4
Reflectivity
Wavelength (nm)
Co-BNNS
Co-BNNS + CH4
Co-BNNS + H2S
Co-BNNS + NH3
Co-BNNS + O3
Co-BNNS + PH3
Co-BNNS + SO2
100 200 300 400 500 600 700
0.00
0.05
0.10
0.15
0.20
0.25
0.30
0.35
Reflectivity
Wavelength (nm)
BNNS
BNNS + CH4
BNNS + H2S
BNNS + NH3
BNNS + O3
BNNS + PH3
BNNS + SO2
100 200 300 400 500 600 700
0.00
0.25
0.50
0.75
1.00
1.25
1.50
1.75
Refractive Index
Wavelength (nm)
Mn-BNNS
Mn-BNNS + CH4
Mn-BNNS + H2S
Mn-BNNS + NH3
Mn-BNNS + O3
Mn-BNNS + PH3
Mn-BNNS + SO2
100 200 300 400 500 600 700
0.0
0.5
1.0
1.5
2.0
Refractive Index
Wavelength (nm)
Co-BNNS
Co-BNNS + CH4
Co-BNNS + H2S
Co-BNNS + NH3
Co-BNNS + O3
Co-BNNS + PH3
Co-BNNS + SO2
100 200 300 400 500 600 700
0.0
0.5
1.0
1.5
2.0
Refractive Index
Wavelength (nm)
BNNS
BNNS + CH4
BNNS + H2S
BNNS + NH3
BNNS + O3
BNNS + PH3
BNNS + SO2
Conclusion
The pristine BNNS is successfully doped with Co and Mn and investigated using DFT calculation. The
doping of Co and Mn in BNNS results in significant structural deformation with a remarkable change
in electronic properties. The BNNS transformed into a metal and semiconductor via Co and Mn doping,
respectively. The gas-sensing ability of the three nanosheets (BNNS, Co-BNNS, and Mn-BNNS) are
studied, revealing higher sensitivity of Co-BNNS and Mn-BNNS than pristine BNNS toward hazardous
gases (i.e., CH4, H2S, NH3, O3, PH3, and SO2) with a very high recovery time. Very slight structural
deformation of the nanosheets was observed due to gas adsorption. Both BNNS and Mn-BNNS showed
a reduction of band gap due to adsorption, whereas a slight band gap arises for metallic Co-BNNS after
adsorption, suggesting it to be more suitable for gas sensing applications. The Mulliken change analysis
shows the change distribution in the pristine and gas-adsorbed structures. All the structures show high
absorption coefficients in the UV wavelength region and low refractive index suggesting to be potential
materials for optoelectronic research. The variation in peak intensity and peak position of the reflectivity
or absorption can be used as an optical gas sensor that can detect the type of adsorbed gas based on
optical measurement. Based on the measurement of adsorption energy, electronic band gap, and optical
properties, both Mn and Co-doped BNNS are better candidates for toxic gas sensing compared to pure
BNNS.
Acknowledgment
We are thankful to the Jashore University of Science and Technology Project Grant 2022-2023
for providing the necessary financial support for this research.
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