The aims of this work is to scrutinize the structural, physical and electrical properties of nitroamine (NH 2 NO 2 ) adsorption on the outer and inner surface of pristine and C-replacing boron nitride nanosheet (BN nanosheet), using density functional theory methods at cam-B3LYP/6-31G (d) level of theory. Inspections of determined results represent that the adsorption of nitramide on the outer surface of pristine and C-replaced BN nanosheet is exothermic and on the inner surface it is endothermic. The deformation energy of system displays that the geometry and structure of BN nanosheet and nitramide in the BN nanosheet/NH 2 NO 2 complex change significantly from the original state, whereas the quantum parameters and gap energy of the BN nanosheet/NH 2 NO 2 system alter slightly from the original state. The nuclear magnetic resonance and molecular electrostatic potential consequences exhibit that in the BN nanosheet/NH 2 NO 2 complex, the highest density of electrons is concentrated surrounding the NH 2 NO 2 molecule.
After the discovery of the carbon nanotube, extensive researches have been done to find other nanomaterials and nanoconfigurations. One of the most interesting configurations of carbon is graphene. It is a crystalline allotrope of carbon with two-dimensional properties. Due to its fascinating structural and electronic properties, it is suitable for providing electronic nanosheets or nanosensors [ 1 , 2 , 3 , 4 , 5 , 6 – 7 ]. The band gap of graphene sheet is almost zero and this property is useful to making electronic devices. In recent years, functionalizing and doping methods have been extensively used to increase the efficiency of graphene sheet in electronic and nanodetector applications [ 8 , 9 , 10 – 11 ]. In recent years, many researches have focused on finding other nanosheet compounds such as silicon carbide, boron phosphide, aluminum nitride, zinc oxide, gallium nitride, aluminum phosphide, beryllium oxide and boron nitride [ 12 , 13 , 14 , 15 , 16 , 17 – 18 ]. Boron nitride nanosheet was discovered in 2005 and, due to its structural and fundamental properties, it is useful in making nanochips, nanosensors, optoelectronic devices, nanoscale device technology and nanoadsorbent [ 19 , 20 , 21 , 22 , 23 , 24 , 25 , 26 , 27 , 28 , 29 – 30 ]. On the other hand, BN nanosheet with a band gap in the range of 4.2–6 eV is notably used to make a sensitive sensor of toxic and hazardous compounds in industries [ 12 , 27 , 28 , 31 , 32 , 33 , 34 – 35 ].
Nitroamine (NH 2 NO 2 ) is the simplest nitramine compound that is greatly used in military explosive, propellant and fuel applications. In recent years, extensive theoretical and experimental investigations have been done on the interaction of NH 2 NO 2 compound with nanomaterials and nanotubes [ 36 , 37 ]. In the current work, the structural, physical, and electrical properties of BN nanosheet in the presence of C-replaced and NH 2 NO 2 molecule were studied using the DFT theory. To find the appropriate and suitable adsorption sites, many different configurations and orientations of NH 2 NO 2 molecule on the B and N sites of nanosheet were examined, and all configuration models were optimized using B3LYP/3-21G level of theory. From all optimized models, the ten (10) stable and suitable models were selected for this work and then the selected models were optimized again using cam-B3LYP/6-31G (d) level of theory. The geometrical, chemical reactivity, quantum parameters, adsorption, deformation energy, and molecular electrostatic potential for all selected models are determined and analyzed. The obtained results may be useful for performing an adsorbent or nanosensor for detecting nitramine molecule.
For denoting the adsorption of NH
2
NO
2
molecule on the surface of pristine and C-replaced BN nanosheet, we define the A and B models, respectively. The a, b, c, d and e indexes are used for adsorption of NH
2
NO
2
from H, N(NH
2
), O, N(NO
2
) head and parallel orientation on the boron position of the BN nanosheet, respectively (see Fig.
1
). The f, g, h, i and j indexes are used for adsorption of NH
2
NO
2
molecule from H, N(NH
2
), O, N(NO
2
) head and parallel orientation on the nitrogen position of the BN nanosheet, respectively.
2D views of the pristine and C-doped BN nanosheetsFig. 1

The A-a to B-j models are optimized by using the DFT method at cam-B3LYP level of theory using the 6-31G (d) base set [
38
] when performing the GAMESS suite of programs [
39
]. The pristine and C-replaced BN nanosheet and the A-a to B-j models before and after the optimizing process are given in Figs.
1
and
2
. The ends of the nanosheet at all systems are saturated by hydrogen atoms for preventing the dangling bonds at the edges of the nanosheet. The adsorption energy (
E
ads
) [
40
,
41
–
42
] of NH
2
NO
2
molecule on the surface of pristine, C-replaced BN nanosheet is calculated by:
2D views of NH
2
NO
2
adsorption on the surface of pristine and C-doped BN nanosheets (A-a to B-j models); in all models the
left configuration
is before optimizationFig. 2

The highest occupied molecular orbital (HOMO) and the lowest unoccupied molecular orbital (LUMO) energies are used for determining the gap energy (
E
g
), density of state (DOS) plots, Fermi level energy (
E
FL
) and work functions (∆
φ
) (see Eqs.
6
–
8
):
Herein, the A model of the BN nanosheet contains 24B, 24N and 18H atoms (B24N24H18, see Fig. 1 ) and in the B model 24C atoms are superseded in the layers 1, 3, 5, 7 and 9 in spite of B and N sites of nanosheet (B12N12C24H18, see Fig. 1 ). From the optimized results, the B–N bond length of the A model is 1.44 Å and the bond lengths of B–N, B–C, N–C and C–C in the B model are 1.45, 1.39, 1.54 and 1.38 Å, respectively (see Fig S1 in supplementary data).
As seen in Fig S2 in supplementary data, the B–N, B–C and N–C bond lengths and the <B–C–N bond angle of the A-a to B-j models after adsorbing NH 2 NO 2 molecule change slightly from the unadorned models.
The optimized results display that in the B-e model, the NH 2 NO 2 molecule dissociates to NH 2 and NO 2 parts, and in this form the NH 2 part is adsorbed on the nanosurface and the NO 2 part goes away from the nanosheet. In the A-j model, the NH 2 NO 2 molecule dissociates into 2O atoms and NNH 2 part, and also in this model the 2O atoms are chemically adsorbed on the surface of the nanosheet and the NNH 2 part goes away from the nanosheet. Also in the B-j model, the NH 2 NO 2 molecule dissociates into NH 2 , NO and O parts; the O atom is chemically connected on the surface of the nanosheet and other parts go away from the nanosheet. On the other hand, in the other adsorption models after optimizing the NH 2 NO 2 /BN nanosheet complex, the NH 2 NO 2 molecule goes away from the nanosheet and so the type of adsorption process of these systems is physorption.
According to calculated results in Table
1
, the average distance between the NH
2
NO
2
molecule and the BN nanosheet in the B-e, A-j and B-j models is 1.51, 1.77 and 1.63 Å, respectively. By replacing C atoms, the geometrical structure of the BN nanosheet is dramatically deformed and so the average distance of the NH
2
NO
2
/nanosheet decreases.
The adsorption energy, deformation energy, binding energy, (Kcal mol
−1
), distance between the BN nanosheet and NH
2
NO
2
(Å) and dipole moment of the BN nanosheet/NH
2
NO
2
(debye) for the A-a to B-j models Model Distance Dipole moment A-a −6.85 0.29 −1.75 −5.39 −1.46 3.20 2.14 A-b −6.24 0.38 −1.74 −4.88 −1.36 3.28 2.71 A-c −6.85 0.35 −1.75 −5.46 −1.39 3.29 5.96 A-d −6.90 0.24 −1.76 −5.38 −1.52 3.47 2.12 A-e −5.42 0.98 −1.55 −4.85 −0.57 3.62 2.17 B-a −8.56 −0.70 −1.55 −6.31 −2.25 3.53 9.29 B-b −8.94 −0.68 −1.54 −6.71 −2.23 3.40 7.78 B-c −8.38 −0.60 −1.53 −6.23 −2.15 3.69 12.38 B-d −8.54 −0.72 −1.50 −6.31 −2.23 3.45 10.12 B-e 16.47 73.60 116.10 −173.22 189.69 1.51 13.84 A-f −5.16 1.06 −1.57 −4.66 −0.50 3.39 2.66 A-g −5.18 1.10 −1.57 −4.71 −0.47 3.38 6.33 A-h −5.84 1.09 −1.56 −5.38 −0.46 3.34 5.97 A-i −5.84 0.77 −1.51 −5.10 −0.74 3.65 3.07 A-j 135.97 163.25 186.95 −214.22 350.19 1.77 12.55 B-f −9.12 −0.67 −1.55 −6.89 −2.23 3.39 7.96 B-g −10.48 −0.74 −1.42 −8.31 −2.17 3.46 6.30 B-h −8.72 −0.77 −1.51 −6.44 −2.28 3.59 9.17 B-i −8.79 −0.75 −1.50 −6.53 −2.26 3.60 8.83 B-j 26.76 107.44 171.19 −251.87 278.63 1.63 13.50Table 1
Comparison results show that the adsorption energy of the B-e, A-j and B-j models is positive due to dissociation of the NH 2 NO 2 molecule on the surface of the nanosheet, whereas the E ads values of the other models are negative and these adsorbed models are exothermic. Also, the B-g model with E ads = −10.48 kcal/mol is the most stable adsorption model (see Table 1 ). The obtained results demonstrate that the E ads of the NH 2 NO 2 /nanosheet system depends on C-replaced positions and NH 2 NO 2 molecule orientation. The C-replacing atoms increase the adsorption of the NH 2 NO 2 molecule on the surface of the nanosheet. These results confirm that C-replaced BN nanosheet is a good compound for adsorbing NH 2 NO 2 molecule. In all studied models (the A-a to B-j models), the basis set superposition error (BSSE) is in the range 0.0005–0.001 kcal/mol. In the A-a to B-j models, the binding energy ( E bin ) values are negative and the NH 2 NO 2 molecule is adsorbed on the surface of the BN nanosheet. The maximum binding energy is seen in the B-e, A-j and B-j models with −173.22, −214.22 and −257.87 kcal/mol, respectively.
To understand the deforming structures of the BN nanosheet and NH 2 NO 2 molecule in the BN nanosheet/NH 2 NO 2 complex, the deformation energy of the BN nanosheet, NH 2 NO 2 molecule and BN nanosheet/NH 2 NO 2 complex is calculated using Eqs. ( 2 – 4 ) and the results are listed in Table 1 .
Comparisons of structural results indicate that significant curvature in the geometry of nanosheet and NH 2 NO 2 molecule occurs in the B-e, A-j and B-j adsorption models. On the other hand, the deformation energy of the BN nanosheet ( E def BN nanosheet) for the B-a, B-b, B-c, B-d, B-f, B-g, B-h and B-i models is negative and for the A-a to A-j models positive. The negative value of deformation energy shows that the structures of NH 2 NO 2 molecule and BN nanosheet are deformed spontaneously from the original state and all deformed structures are stable from the thermodynamic point of view. However, the deformation energies of the B-e, A-j and B-j models for NH 2 NO 2 molecule, BN nanosheet and NH 2 NO 2 /BN nanosheet complex are positive and so the deformation of these models is endothermic and needs more energy. The order of deformation energy in the B-e, A-j and B-j models is: E def (A-j) > E def (B-j) > E def (B-e). Furthermore, the deformation energy of the NH 2 NO 2 molecule and total deformation energy of the A-a, A-b, A-c, A-d, A-e, A-f, B-a, B-b, B-c, B-d and B-f models are negative. The total deformation energy of the B model is lower than that of the A models, thereby replacing of carbon atoms alter the structure of the BN nanosheet/NH 2 NO 2 complex.
Dipole moment is one another properties of system that it used to detect the nature of reactivity and impurity atoms effect of system. The dipole moment of the C-replaced models (B-a to B-j models) are more than pristine models (A-a to A-j models). The replacing carbon atoms increase dipole moment and reactivity of nanosheet (see Table 1 ), and also the orientations of NH 2 NO 2 molecule on the surface of BN nanosheet change the dipole moment values. The dipole moment of A-g model (6.33 debye) and B-e model (13.84 debye) are significantly more than other those models. It is notable that with increasing the dipole moment at the A-a to B-j models the adsorption and interaction energy of system increase.
For understanding the structural and electrical properties of BN nanosheet/NH
2
NO
2
complex, the HOMO and the LUMO orbitals of the A-a to B-j models are determined and results are given in Fig.
3
.
Plots of HOMO and LUMO orbital structures for NH
2
NO
2
adsorption on the surface of pristine and C-doped BN nanosheets (A-a to B-j models, see Fig.
2
)Fig. 3

The HOMO orbital density of the A-a, A-b, A-c, A-d, A-e, A-f, A-g, A-h and A-i models are uniformly localized surrounding NH 2 NO 2 molecule, whereas at the A-j model the HOMO orbital density is localized around NH 2 NO 2 molecule and near adsorption position of nanosheet. While with replacing C atoms in the B-a, B-b, B-c, B-d, B-e, B-f, B-g, B-h and B-i models the HOMO orbital density are distributed on the end layers surface of nanosheet, and also in the B-j model the HOMO orbital density is localized surrounding NH 2 NO 2 and end layers of nanosheet.
It is remarkable that the LUMO orbital densities at all adsorption models except A-j and B-j models are distributed uniformly around nanosheet. These results confirm that the surface of nanosheet is a good surface for electrophilic reaction. The negative values of ∆
ρ
(
NBO and Mulliken charge of nitramide on the surface of the BN nanosheet for the A-a to B-j models, and the
ρ
1
= 0 for pure NH
2
NO
2 Model Δ Δ A-a −0.012 −0.006 A-b −0.001 −0.023 A-c −0.001 −0.021 A-d −0.016 −0.011 A-e −0.820 −0.009 B-a −0.001 −0.014 B-b −0.002 −0.005 B-c −0.004 −0.023 B-d −0.002 −0.020 B-e −0.578 −0.517 A-f −0.001 −0.021 A-g −0.001 −0.020 A-h −0.002 −0.023 A-i −0.012 −0.007 A-j −0.832 −0.856 B-f −0.003 −0.005 B-g −0.018 −0.055 B-h −0.006 −0.025 B-i −0.001 −0.019 B-j −0.644 −0.532Table 2
The calculated gap energy (
E
g
) for the A-a to B-j models are tabulated in Table
3
. The
E
g
energy of the A-a to A-j models is in range 4.06–5.23 eV; these results are in agreement with other research [
32
]. The
E
g
energy of the B-a to B-j models is in range 0.94–1.33 eV and is lower than the A-a to A-j models. Due to replacing carbon atoms, the conductivity and reactivity of the B-a to B-j models are more than the A-a to A-j models, and also the B-a to B-j models are a good semiconductor in electronic applications.
Calculated quantum parameters for adsorption of nitramide on the surface of the pristine and C-replaced BN nanosheet for the A-a to B-j models Properties/eV A-a A-b A-c A-d A-e B-a B-b B-c B-d B-e −1.36 −1.22 −1.26 −1.47 −1.52 −2.78 −2.80 −2.86 −2.78 −3.17 −6.38 −6.41 −6.49 −6.31 −6.34 −4.01 −4.01 −4.05 −4.01 −4.11 5.02 5.19 5.23 4.83 4.82 1.23 1.21 1.19 1.23 0.94 6.38 6.41 6.49 6.31 6.34 4.01 4.01 4.05 4.01 4.11 1.36 1.22 1.26 1.47 1.52 2.78 2.80 2.86 2.78 3.17 −3.87 −3.81 −3.87 −3.89 −3.93 −3.39 −3.40 −3.45 −3.39 −3.64 3.87 3.81 3.87 3.89 3.93 3.39 3.40 3.45 3.39 3.64 2.51 2.59 2.61 2.41 2.41 0.61 0.60 0.59 0.61 0.47 0.20 0.19 0.19 0.20 0.20 0.81 0.82 0.84 0.81 1.06 −3.87 −3.81 −3.87 −3.89 −3.93 −3.39 −3.40 −3.45 −3.39 −3.64 Δ −2.51 −2.59 −2.61 −2.41 −2.41 −0.61 −0.60 −0.59 −0.61 −0.47 2.98 2.80 2.87 3.13 3.21 9.37 9.58 10.08 9.41 14.09 Δ −1.54 −1.47 −1.48 −1.61 −1.63 −5.52 −5.62 −5.84 −5.55 −7.74 Properties/eV A-f A-g A-h A-i A-j B-f B-g B-h B-i B-j −1.38 −1.39 −1.33 −1.45 −1.85 −2.80 −2.87 −2.77 −2.76 −2.87 −6.38 −6.48 −6.53 −6.35 −5.91 −4.02 −4.03 −4.01 −4.00 −4.20 5.00 5.09 5.20 4.90 4.06 1.22 1.16 1.24 1.24 1.33 6.38 6.48 6.53 6.35 5.91 4.02 4.03 4.01 4.00 4.20 1.38 1.39 1.33 1.45 1.85 2.80 2.87 2.77 2.76 2.87 −3.88 −3.93 −3.93 −3.90 −3.88 −3.41 −3.45 −3.39 −3.38 −3.53 3.88 3.93 3.93 3.90 3.88 3.41 3.45 3.39 3.38 3.53 2.50 2.54 2.60 2.45 2.03 0.61 0.58 0.62 0.62 0.66 0.19 0.19 0.19 0.20 0.24 0.81 0.86 0.80 0.80 0.75 −3.88 −3.93 −3.93 −3.90 −3.88 −3.41 −3.45 −3.39 −3.38 −3.53 Δ −2.50 −2.54 −2.60 −2.45 −2.03 −0.61 −0.58 −0.62 −0.62 −0.66 3.01 3.04 2.97 3.10 3.70 9.53 10.26 9.26 9.21 9.39 Δ 1.55 −1.54 −1.51 −1.59 −1.91 −5.59 −5.94 −5.46 −5.45 −5.31Table 3
The density of state (DOS) plots for the A-a to B-j adsorption models display that at the A-a, A-b, A-c, A-d, A-e, A-f, A-g and A-h models in the HOMO and LUMO regions there are 12 and 14 peaks, respectively (see Fig S3). In the B-a, B-b, B-c, B-d, B-f, B-g, B-h and B-i in the HOMO and LUMO region, there are 16 and 17 peaks, respectively. In the A-j, B-e and B-j models due to dissociation of NH 2 NO 2 molecule in the HOMO and LUMO regions, we observe 18 and 19 peaks, respectively. Comparison results exhibit that in the LUMO region, more maxima peaks are observed than in the HOMO region.
By replacing C atoms, two small peaks are seen in the gap region and then due to these unfolded peaks the E g values of the BN nanosheet decrease significantly compared to pristine BN nanosheet models. So, the conductivity of the C-replaced BN nanosheet is more than that of the pristine model of BN nanosheet.
According to the calculated quantum parameters of the BN nanosheet/NH 2 NO 2 in Table 3 , the global hardness ( η ) values of the A-a to A-j models and the B-a to B-j models are in the range 2.03–2.61 and 0.47–0.66 eV, respectively. The global hardness of C-replaced BN nanosheet is lower than that of pristine BN nanosheet and so the reactivity of C-replaced BN nanosheet is more than that of pristine BN nanosheet. This fact confirms that the C-replaced BN nanosheet is more active than the pristine models for adsorbing and detecting NH 2 NO 2 molecules.
The electrochemical potential ( μ ) results reveal that on replacing C atoms and adsorbing NH 2 NO 2 molecules, the electrochemical potential of the system changes slightly from the original state.
The NBO and Milliken charge around the NH 2 NO 2 molecule (Δ ρ NBO and Δ ρ mulk ) and the maximum amount of electronic charge (Δ N ) for the A-a to B-j models are negative (see Tables 2 , 3 ). The negative values of Δ ρ NBO , Δ ρ mulk and ΔN at all adsorption models demonstrate that in the BN nanosheet/NH 2 NO 2 system, the BN nanosheet has a donor electron effect and NH 2 NO 2 molecule has an acceptor electron effect. Due to this effect, the charge density is localized around the NH 2 NO 2 molecule.
The work function (Δ Φ ) is the minimum energy to remove an electron from a solid surface to outside of the compound and it is used to describe the emitted electron current densities.
The work function values of the A-a to A-j models and the B-a to B-j models are in the range of −2.03 to −2.61 eV and −0.47 to −0.66 eV, respectively (see Table 3 ). A comparison of results shows that the work function of C-replaced BN nanosheet/NH 2 NO 2 complex is lower than that of pristine models and so the emitted electron current densities of the B-a to B-j models are lower than those of the A-a to A-j models.
In this section, the evaluated nuclear magnetic resonance (NMR) parameters are used to understand the charge density of the material. The nuclear magnetic resonance parameters are generated by the response of electrons to an external uniform magnetic field and the spin–spin interaction. By using the gauge included atomic orbital (GIAO) approach [
40
,
41
–
42
], the chemical shielding isotropic (CSI) and chemical shielding anisotropic (CSA) parameters for
11
B,
15
N and
13
C sites are calculated using Eqs. (
15
,
16
):
The
CSI plots
for NH
2
NO
2
adsorption on the surface of pristine and C-doped BN nanosheet (A-a to B-j models, see Fig.
2
)Fig. 4

The natural bonding orbital (NBO) is one of the important parameters used to understand the effects of NH
2
NO
2
adsorption on the structural and orbital properties of the nanosheet. Using the natural bonding orbital results, the interaction energy or second-order perturbation interaction energy
E
(2)
[
44
] between the bond orbitals with antibond orbitals or Rydberg orbitals can be calculated with delocalization
A comparison of the NBO results shows that the highest stabilization energy (
E
(2)
) in the A-a, A-b, A-c, A-d, A-e models is shown at transition between the donor orbital to acceptor orbital
The molecular electrostatic potential (MEP) calculated results are used to determine the size and shape, and the positive, negative and neutral regions of the molecule [ 45 , 46 ]. These results are useful for determining the charge distribution around the compound surface and nucleophilic or electrophilic region of the compound. This means that for all A-a to B-j models, the MEP and contour potential plots are calculated around the adsorption position and all calculated results are shown in Fig S5 in supplementary data. Herein, the green and red colors represent the negative and positive charges or the electrophilic and nucleophilic regions, respectively. The calculated results point out in all A-a to B-j models a negative potential, green color, is shown around the NH 2 NO 2 molecule, whereas a positive potential, red color, is localized around the BN nanosheet. These results are completely in agreement with the NBO, quantum and NMR results. Therefore in the A-a to B-e models, due to donor electron effect of the BN nanosheet, a low charge transfer occurs between the nanosheet and the NH 2 NO 2 molecule. Comparison of MEP and contour potential plots of the A and B models demonstrate that with C-replacing atoms the charge transfer between the BN nanosheet and NH 2 NO 2 decreases slightly compared with the pristine models.
In this work, we investigated the structural, physical and electrical properties of adsorption NH 2 NO 2 molecule on the surface of the pristine and C-replaced BN nanosheet. In the A-a to B-j models, the adsorption energy of the NH 2 NO 2 /BN nanosheet system strongly depends on the adsorption orientation of the NH 2 NO 2 molecule and C-replaced atoms. The adsorption energy of NH 2 NO 2 molecule on the outer surface of the pristine and C-replaced BN nanosheet is negative, exothermic and favorable.
The E g , NBO and global hardness results of C-replaced BN nanosheet are lower than those of the pristine models, and so the conductivity, polarizability and activity of C-replaced BN nanosheets are greater than those of pristine BN nanosheets. These results demonstrate that the C-replaced BN nanosheet models are good compounds to act as sensitive sensors and absorbers of the NH 2 NO 2 molecule.
The authors thank the Computational Information Center of Malayer University for providing the necessary facilities to carry out the research.