Abstract
With the rising demand for renewable energy, photocatalysts are considered the most promising solution to harness solar energy, and the search for photocatalysts with excellent performances remains an urgent task. Here, based on density functional theory (DFT), the photocatalytic properties of MoWS4 are systematically investigated. The MoWS4 monolayer and bilayer are demonstrated as semiconductors with indirect band gaps of 2.01 and 1.48 eV. Moreover, they exhibit high and anisotropic light absorption coefficients of up to ∼105 cm−1 in the visible-ultraviolet region. The intrinsic band edge positions could fully satisfy the redox potentials of water without any external adjustment. The electron mobility of MoWS4 monolayer is 557 cm2 V−1s−1, which is seven times higher than MoS2 monolayer. Hence, MoWS4 can be regarded as a promising 2D photocatalyst candidate for water splitting.
Introduction
With the depletion of fossil energy and the increasing pollution of the natural environment, the demands for renewable energy become critical and urgent for sustainable development of global economy. In 1972, Fujishima and Honda discovered that TiO2 can split water to produce hydrogen and oxygen in the presence of sunlight, making photocatalysis one of the most noteworthy solutions to harness solar energy (). Afterwards, great efforts have been made to develop effective photocatalysts, including transition metal oxides, sulfides, nitrides, and so forth (; ; ). However, the low quantum efficiency derived from charge recombination on the surface and in the bulk of these photocatalysts could not meet the criteria of favorable photocatalyst for sunlight driven water splitting ().
Due to the interesting structures and corresponding electronic properties, two-dimensional (2D) materials have been widely used in various fields and also provide new research directions for efficient photocatalysis (). In recent years, 2D photocatalysts showed the greater advantages over their bulk phase counterparts in terms of photocatalytic performance. For example, Both SnS2 monolayer and ZnSe nanosheet exhibited higher photocurrent density than their bulk materials (; ). In addition, various 2D materials have also been theoretically and experimentally demonstrated to be used as photocatalysts for water splitting, such as 2D transition metal dichalcogenides, g-C3N4, phosphorene, and so on (; ; ; ; ). However, few of these photocatalysts can simultaneously satisfy high visible light absorption, high carrier mobility and perfect band edge positions. For instance, MoS2 monolayer showed lower carrier mobility, and MoTe2 monolayer can’t perfectly meet the redox potential of water (; ; ; ; ). Both GaS and GaSe monolayers demonstrated low visible light absorption due to the large band gaps (). Therefore, it is still a challenge to develop water splitting photocatalysts with excellent performances.
In this work, based on the first-principles calculations, we propose a novel 2D transition metal dichalcogenide namely MoWS4 and systemically investigate its photocatalytic properties. Firstly, the stability of MoWS4 monolayer is confirmed by calculating its phonon spectra and ab initio molecular dynamics (AIMD) simulations. Secondly, we calculate the band structures of MoWS4 monolayer and bilayer, and show their semiconductive characteristic. Then, relevant photocatalytic properties are systematically investigated. It is found that MoWS4 monolayer and bilayer can nicely meet the redox potentials without strain engineering, and their light absorption coefficients reach ∼105 cm−1 in the visible-ultraviolet region. Moreover, the electronic mobility of MoWS4 monolayer is as high as 557 cm2 V−1s−1.
Computational details
For geometric and electronic structures, all calculations are performed by using the Vienna ab into simulation package (VASP) based on density functional theory (DFT) (). We choose the generalized gradient approximation (GGA) of the Perdew–Burke–Ernzerhof (PBE) functional as the exchange-correlation functional to perform these calculations (). For the 2D monolayer structure, the vacuum layer thickness is set as about 20 Å to avoid layer-to-layer effects. The kinetic energy cutoff is set as 500 eV. The Brillouin zone is regulated with 10 × 6 × 1. During the calculations, the DFT-D2 method with Grimme correction is used to describe the long-range van der Waals interactions (). Besides, all atoms are fully relaxed, and the energy and force convergence criteria are set as 10–6 eV and 0.01 eV Å−1, respectively. Except for PBE functional, to obtain the more accurate results, the HSE06 functional is also adopted to calculate the band structures and the band edge positions (). To identify structural stability of MoWS4 monolayer, its phonon spectra are calculated by using the PHONOPY code (). A 6 × 3 supercell structure of MoWS4 monolayer is used in ab initio molecular dynamics (AIMD) simulations (NVT ensemble), which is carried out for 3 ps with a time step of 1 fs at 500 K ().
The optical properties can be defined by the complex dielectric function (frequency) for characterization:where and represent the real and imaginary parts, respectively. Based on the Kramers–Kronig transformation (), the real part can be expressed as follows:where is the integral principal value. In addition, the imaginary part can be described as ():where , , , , , and represent the incident photon frequency, the incident photon energy, the Fermi function, the transition matrix, the CB state and VB state, respectively. Finally, the absorption coefficient can be calculated by ():where denotes the speed of light in vacuum.
The carrier mobility is calculated by the following formula ():where is the elastic modulus, which can be expressed by here is the total energy of monolayer after deformation, is the lattice area of monolayer under equilibrium and is the uniaxial strain. Besides, is the Boltzmann constant, is the temperature. is the effective mass along the transport direction and is the average effective mass determined by . represents the deformation potential constant, which is expressed by , here represents the shift of the band edge position with respect to the uniaxial strain .
Results and discussions
Crystal structures, stability, and electronic properties
Figure 1A shows the top and side views of 4 × 2 supercell of MoWS4 monolayer, which has a space group of Pmm2. The light green area is the unit cell of MoWS4 monolayer, which contains four atoms. The pink, blue, and yellow balls represent Mo, W, and S atoms, respectively. MoWS4 monolayer is a honeycomb structure from the top view, while sandwich structure from the side view, which is very similar to the structure of MoS2 monolayer (). After fully geometric optimization, the lattice constants are a = 3.188 Å and b = 5.526 Å with a layer thickness of 3.119 Å.
FIGURE 1
To confirm the stability of MoWS4 monolayer, the formation energy (), defined as: , is calculated, where presents the total energy of the unit cell of MoWS4 monolayer, and , , and present the energies of each Mo, W, and S atom in itself bulk phase, respectively. The calculated formation energy of MoWS4 monolayer is −1.1 eV/atom (<0), implying the procedure of synthesizing MoWS4 monolayer is exothermic and favorable. Besides, the dynamic and thermal stabilities of MoWS4 monolayer are further investigated. As shown in Figure 1B, the calculated phonon spectra exhibit no imaginary frequency, indicating high dynamic stability of MoWS4 monolayer. The thermal stability is further studied via AIMD calculations. As illustrated in Figure 1C, the total energy of the MoWS4 monolayer remains essentially stable and no deformation occurs in its final structure. These results suggest that MoWS4 monolayer exhibits good dynamic and thermal stability, which deduces the possibility of experimental synthesis of MoWS4 monolayer.
Figure 2 shows the top and side views of MoWS4 bilayer. Three stacking patterns (AA, AB, and AC) are considered in the bilayer structures of MoWS4. The results of the calculated total energy are −94.2727 eV, −94.4175 eV, and −94.2726 eV for AA, AB, and AC stacking patterns, respectively. AA and AC stacking structures have the same layer spacing of 6.76 Å, and AB stacking has a spacing of 6.13 Å. Obviously, the AB stacking structure is most stable energetically.
FIGURE 2
Figures 3A,B shows the electronic band structures of MoWS4 monolayer and bilayer obtained by using the PBE functional (blue) and the HSE06 functional (red). The Fermi level and the high symmetry path are set as 0 eV and Γ-X-M-Y-Γ, respectively. The MoWS4 monolayer and bilayer are indirect band gap semiconductors and their band gaps calculated by HSE06/PBE functional are 2.01/1.67 eV and 1.48/1.14 eV, respectively. The band gaps obtained by the HSE06 functional are larger than that obtained by the PBE functional since the PBE functional tends to underestimate the band gap. Figures 3C,D shows the maps of charge density for MoW4 monolayer at the conduction band minimum (CBM) and the valence band maximum (VBM), and it can be concluded that the CBM is mainly contributed by the Mo atoms, whereas the VBM comes from a combination of Mo, W, and S atoms.
FIGURE 3
Photocatalytic water splitting and optical properties
Considering the excellent semiconductor properties of MoWS4 monolayer and bilayer, we systematically study their feasibility as photocatalysts for water splitting. It is well known that a photocatalytic candidate should meet the following conditions: Firstly, its band gap should exceed the free energy of water splitting (1.23 eV). Obviously, the band gaps of MoWS4 monolayer and bilayer both exceed 1.23 eV; Secondly, its band edges must cross the redox potentials of water. The CBM energy should be higher than the reduction potential of H+/H2 (−4.44 eV), and the VBM energy should be lower than the oxidation potential of O2/H2O (−5.67 eV) (; ; ). For 2D materials, the band edges with respect to the vacuum level () can be obtained by: , where represents the value of CBM/VBM obtain by DFT and represents the electrostatic potential in the vacuum region. We plot the map of band edges relative to the vacuum level of MoWS4 monolayer and bilayer in Figure 4A, and find that the band edge positions of MoWS4 monolayer and bilayer can perfectly satisfy the redox potential for the water splitting reaction at pH = 0. Specifically, the band edges of CBM/VBM for MoWS4 monolayer and bilayer are −4.202/−6.213 eV and −4.230/−5.712 eV, respectively. Thus, the results suggest that the MoWS4 monolayer and bilayer can be promising candidates for water splitting photocatalysts.
FIGURE 4
Besides, efficient light absorption is also an important feature for water splitting photocatalysts. Figures 4B,C shows the light absorption spectra of the MoWS4 monolayer and bilayer within the visible-ultraviolet light range. The result can be summarized as follows: 1) Their light absorption coefficients in the ultraviolet light range are higher than visible light region (up to ∼106 cm−1); 2) Their light absorption coefficients of MoWS4 bilayer overall are higher than that of MoWS4 monolayer; 3) Their light absorption coefficients are significantly anisotropic: that is higher in the z direction, but have a wider range of light absorption spectra in the x and y directions. It is known that the high light absorption coefficients can guarantee the effective use of solar energy, which is very favorable for water splitting photocatalysts (; ). Therefore, both MoWS4 monolayer and bilayer can be promising potential candidates as photocatalysts.
Strain engineering and high carrier mobility
We further investigate the effect of strain engineering on the photocatalytic performance of MoWS4 monolayer. Figure 5 shows the band structures of MoWS4 monolayer under the in-plane biaxial strain from −2 to 2%. Its band gap increases when compressive strain increases or tensile strain decreases, and its band gap varies in the range of 1.508–2.378 eV. In addition, when it is subjected to compressive strain, the indirect bandgap changes to be a direct bandgap; while when it is subjected to tensile strain, it remains an indirect bandgap semiconductor. As illustrated in Figure 6, we study the changes of its band edge positions under the applied in-plane biaxial strain. All of VBM positions are lower than the oxidation potential of O2/H2O under the −2∼2% in-plane biaxial strain, which indicates that MoWS4 monolayer always serves as a potential photocatalyst to generate oxygen. Besides, when the applied tensile strain reaches 2%, its CBM positions become lower than the reduction potential of H+/H2. Thus, excessive tensile strain will lead to its inability to produce hydrogen. In general, compressive strain does not cause MoWS4 monolayer to deviate from the basic requirements for water splitting photocatalyst, but tensile strain can easily affect its hydrogen production performance.
FIGURE 5
FIGURE 6
As we know, the fast carrier migration capability is necessary for high performance photocatalysts. Thus, the PBE functional is used to calculate the carrier mobility of MoWS4 monolayer according to Eq. 5. Subsequently, we calculate its carrier effective masses , in-plane stiffness and deformation potential constants . Therein, to obtain of MoWS4 monolayer, the linear fitting maps of band edge positions are plotted as the function of the applied uniaxial strain along the x and y directions (; ), as illustrated in Figure 7 and the result is summarized in Table 1. It is notable that the values of have a small difference along the x and y directions, which shows that the scattering ability of its carriers in different directions is also similar. In addition, the carrier effective masses of MoWS4 monolayer have a small difference along the x and y directions. The electron effective masses of MoWS4 monolayer are much lower than its hole effective masses (me = 0.377m0 and 0.374m0 along the x and y directions), which are smaller than that of many 2D photocatalytic materials, such as Penta-PdSSe (me = 2.16m0), Penta-PdSe2 (me = 1.88m0), δ-SnS (me = 1.01m0), SnP3 (me = 0.9m0) (; ; ; ). The smaller carrier effective masses benefit the transfer rate of photogenerated carriers in the photocatalytic process. What’s more, the calculated electron mobility along x and y directions are 529 cm2V−1s−1 and 557 cm2V−1s−1, respectively, whereas the calculated hole mobility along x and y directions are both 38 cm2 V−1s−1. The reason for this difference is that the hole effective mass is much larger than the electron effective mass. More importantly, as shown in Figure 8, the electron mobility of MoWS4 monolayer can significantly exceed that of many other 2D photocatalytic materials such as MoS2 (µe = 72.16 cm2 V−1 s−1, µh = 200.52 cm2 V−1 s−1), Penta-PdS2 (µe = 40.97 cm2 V−1 s−1, µh = 339.25 cm2 V−1 s−1), Penta-PdSe2 (µe = 29.40 cm2 V−1 s−1, µh = 534.55 cm2 V−1 s−1), SnP2S6 monolayer (µe = 148.48 cm2 V−1 s−1, µh = 143.12 cm2 V−1 s−1), As2S3 monolayer (µe = 253.11 cm2 V−1 s−1, µh = 10.85 cm2 V−1 s−1) (; ; ; ; ). It is well known that materials with high carrier mobility can effectively reduce their photogenerated electron and hole recombination rates and increase the participation rate in redox reactions, which are beneficial for photocatalytic processes. Thus, our results suggest that MoWS4 monolayer is a promising 2D photocatalyst candidate for water splitting.
FIGURE 7
TABLE 1
| Materials | Direction | Carrier type | () | (N/m) | (eV) | (cm2V−1s−1) |
|---|---|---|---|---|---|---|
| MoWS4 | X | Electron | 0.377 | 131.86 | 6.12 | 529 |
| Hole | 2.927 | 131.86 | 2.96 | 38 | ||
| Y | Electron | 0.374 | 129.5 | 5.94 | 557 | |
| Hole | 2.857 | 129.5 | 2.95 | 38 |
Carrier effective masses , In-plane stiffness , Deformation potential constants , and carrier mobility for MoWS4 monolayer along the x and y directions.
FIGURE 8
Conclusion
Based on the first-principles calculations, we systematically investigate photocatalytic properties of two-dimensional MoWS4. It is found that both the MoWS4 monolayer and bilayer are semiconductors with indirect band gaps and show high and anisotropic light absorption coefficients in the visible-ultraviolet range. The band edge positions of the materials can satisfy the redox potentials perfectly and the electron mobility of MoWS4 monolayer is up to 557 cm2 V−1 s−1, which outperforms many other 2D photocatalytic materials, such as MoS2 monolayer, Penta-PdS2, Penta-PdSe2, and SnP2S6 monolayer. These results indicate that MoWS4 can be a promising photocatalyst for water splitting with outstanding performances.
Statements
Data availability statement
The original contributions presented in the study are included in the article/Supplementary Material, further inquiries can be directed to the corresponding authors.
Author contributions
FW: Methodology, Investigation, Writing-original draft. ZC: Conceptualization, Investigation, Methodology, Writing—original draft. XZ: Investigation, Writing-original draft. CX: Validation, Resources. FL: Data curation, Validation. CC: Conceptualization, Writing—original draft, Supervision, Funding acquisition. GL: Validation, Data curation, Supervision.
Funding
The authors are grateful for support from the National Natural Science Foundation of China (52101192 and 51871056), Foundation for Basic and Applied Basic Research-Joint Foundation of Dongguan-Guangdong Province (2020A1515111109), and Department of Education of Guangdong in China (2018KZDXM069 and 2021 KCXTD050).
Conflict of interest
The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.
Publisher’s note
All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.
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Summary
Keywords
two-dimensional materials, transition metal dichalcogenides, water splitting photocatalyst, high mobility, density functional theory
Citation
Wang F, Cheng Z, Zhang X, Xie C, Liu F, Chang C and Liu G (2022) A novel two-dimensional transition metal dichalcogenide as water splitting photocatalyst with excellent performances. Front. Chem. 10:1003027. doi: 10.3389/fchem.2022.1003027
Received
25 July 2022
Accepted
03 August 2022
Published
25 August 2022
Volume
10 - 2022
Edited by
Guangzhao Wang, Yangtze Normal University, China
Updates
Copyright
© 2022 Wang, Cheng, Zhang, Xie, Liu, Chang and Liu.
This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.
*Correspondence: Zishuang Cheng, czs19950627@163.com; Chuntao Chang, changct@dgut.edu.cn
This article was submitted to Theoretical and Computational Chemistry, a section of the journal Frontiers in Chemistry
Disclaimer
All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article or claim that may be made by its manufacturer is not guaranteed or endorsed by the publisher.