We have adopted a computational simulation study using Large Scale Atomic/Molecular Massively Parallel Simulator (LAMMPS) [35], that performs Molecular dynamics (MD) calculations to study the adsorption mechanism of different gases. The obtained model is visualized using OVITO [36] and VMD (Visual Molecular Dynamics) [37] software.
The hexagonal-shaped wurtzite structure of Zinc oxide (ZnO) [38]- an n-type material and monoclinic structured Copper Oxide (CuO)- a p-type material with 2700 and 5400 atoms, respectively which has a dimension of 15 x 15 x 3-unit cell is chosen as the adsorbent [39] as shown in Fig. 1. The lattice parameters for the chosen substrate structures are shown in Table 1. The topmost layer of both the adsorbent is kept mobile and is the thermally controlled layer of the adsorbent, while the bottom layers are kept fixed.
Table 1
Lattice parameters for the chosen structures- ZnO and CuO
| Unit cell parameters |
Structure | a(Å) | b(Å) | c(Å) | α0 | β0 | γ0 |
Zinc Oxide (ZnO) | 3.350 | 3.350 | 5.220 | 90 | 90 | 120 |
Copper Oxide (CuO) | 2.939 | 2.939 | 5.161 | 88.19 | 88.19 | 87.40 |
The temperature control of the mobile group of adsorbents is performed using the Noose-hoover thermostat (NVT ensemble) [38] with a damping factor of 50. Periodic boundary conditions are mandated in the x, y, and z directions. The region above the adsorbent (ZnO and CuO), at the height of 30 Å, is filled with a layer of adsorbate -Hydrogen, Carbon dioxide, and Methane which is initially minimized using Avogadro [40].
In this study, the atomic interactions between the atoms are modelled using the Reax-FF inter atomic potential [41]. The Reax-FF parameters involved in each potential function are developed empirically by quantum mechanical calculations followed by iterative training and optimization of sets. Reax-FF is a un harmonic type potential that considers both bonded and non-bonded interaction in or between molecules or atoms in a system. In Reax-FF, the total interaction energy of the system, \({E}_{system}\) is expressed as:
$${E}_{system} = {E}_{bond}+ {E}_{over} +{E}_{val}+ {{E}_{tor}+{E}_{Coulomb}+E}_{Vd waal{\prime }s }$$
1
Where \({E}_{bond}\)is the energy associated with the breakage or formation of a bond between two atoms, \({E}_{over}\) is the energy penalty term related to over coordination of atoms, \({E}_{val}\) and \({E}_{tor}\) are the energy related to three body valence angle strain and four body torsional angle strain respectively. These four terms related to bonded interaction are calculated from Bond order which in turn depends on the inter-atomic position of atoms. \({E}_{Vd waal{\prime }s}\) represents the long-range attraction and short-range repulsive interaction, \({E}_{Coulomb}\) represents the geometry dependent electrostatic and polarization interaction between atoms. \({E}_{Vd waal{\prime }s}\) and \({E}_{Coulomb}\) represents the non-bonded interaction terms in Reax-FF potential function.
To study the adsorption characteristics of hydrogen on Copper Oxide and Zinc Oxide, the simulation is performed for different incident energies ranging from 0.1 eV to 0.5 eV with a step size of 0.1 eV, maintaining the adsorbent temperature at 300 K. While methane adsorption and carbon dioxide adsorption on the same adsorbent are performed with the root mean square velocity (RMS) of the molecule attained at 300 K. For their comparative analysis, the same method is adopted for hydrogen adsorption as well. To enhance our simulation, we conducted an adsorption investigation of the adsorbates at different adsorbent temperatures ranging from 50 K to 450 K, with an increment of 50 K while maintaining a constant velocity equivalent to their RMS velocity. The molecular dynamics simulation is performed for 150 ps (deposition time) with a time step of 0.001 ps.
Under these conditions, it is feasible to observe and analyse the surface morphology, adsorption mechanism, and variations in the total energy of surface atoms. The adsorption process throughout our study is characterized using ‘adsorption energy’, ‘Surface energy plots’, and ‘percentage of adsorbed particles.’ Adsorption energy is the energy released or adsorbed when a molecule or particle is adsorbed onto a surface [42]. It is considered a measure of the strength of interaction between the adsorbate and the adsorbent. In MD simulations, adsorption energy, \({E}_{adsorption}\) is calculated as follows.
$${E}_{adsorption} = {E}_{adsorbate}+ {E}_{adsorbent} - {E}_{pair}$$
2
where \({E}_{adsorbate}\) is the potential energy of the adsorbate (H2, CO2 and CH4), \({E}_{adsorbent }\) denotes the potential energy of the adsorbent (ZnO and CuO) and \({E}_{pair}\) is the total potential energy after the adsorption, which includes adsorbed particles and the adsorbent.