Internal Electric Fields in Asymmetric Single-layer Lattices for Enhancing Photocatalytic Solar-to-Hydrogen Efficiency | Research Square window.SnipcartSettings = { analytics: { enabled: false } }; (function() { var accessVector = localStorage.getItem('access_vector') || ''; window.dataLayer = window.dataLayer || []; if (accessVector) { window.dataLayer.push({ user: { profile: { profileInfo: { snid: accessVector } } } }); } })(); (function(w,d,s,l,i){w[l]=w[l]||[];w[l].push({'gtm.start':new Date().getTime(),event:'gtm.js'});var f=d.getElementsByTagName(s)[0],j=d.createElement(s),dl=l!='dataLayer'?'&l='+l:'';j.async=true;j.src='https://www.googletagmanager.com/gtm.js?id='+i+dl;f.parentNode.insertBefore(j,f);})(window,document,'script','dataLayer','GTM-K279D39R'); Browse Preprints In Review Journals COVID-19 Preprints AJE Video Bytes Research Tools Research Promotion AJE Professional Editing AJE Rubriq About Preprint Platform In Review Editorial Policies Our Team Advisory Board Help Center Sign In Submit a Preprint Cite Share Download PDF Article Internal Electric Fields in Asymmetric Single-layer Lattices for Enhancing Photocatalytic Solar-to-Hydrogen Efficiency Yuliang Liu, Feng Wan, Bo Li, Xingshuai Lv, Chuan-Lu Yang, Ying Shi This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-2232446/v1 This work is licensed under a CC BY 4.0 License Status: Posted Version 1 posted You are reading this latest preprint version Abstract Two-dimensional materials with intrinsic internal electric field possess promising potential to improve the photocatalytic water-splitting performance. However, the construction of the internal electric field is still a great challenge, which requires that the material itself should exhibit spontaneous symmetry breaking with intrinsic polarization. Herein, we propose using a general intercalation approach to introduce spontaneous polarization electric field into single-layer lattice by constructing the spatially asymmetric configurations. Taking septuple-atomic-layer MoSi 2 N 4 as a model material, following the above design principle, four promising MSi 2 N 3 Y (M= Mo, W; Y=P, As) monolayers are theoretically identified, exhibiting excellent stabilities, suitabilities and low reaction barriers for overall water splitting. Importantly, the intrinsic internal electric field of MoSi 2 N 3 Y promotes the charge-carrier separation and improves the light absorption capacity simultaneously, thus enabling the high solar-to-hydrogen efficiency of 29.84%−32.93%. This study opens up an avenue to rationally engineer the internal electric field and contributes to enhance the photocatalytic efficiency. Physical sciences/Materials science/Materials for energy and catalysis/Photocatalysis Physical sciences/Materials science/Nanoscale materials/Two-dimensional materials Figures Figure 1 Figure 2 Figure 3 Figure 4 Introduction Photocatalytic water splitting is a green and renewable avenue to convert solar energy and water sources into hydrogen energy, which is of great significance to alleviate the current energy and environmental problems 1 – 3 . Since the pioneering work in TiO 2 by Fujishima and Honda 4 , numerous potential photocatalytic materials have been proposed for solar hydrogen production 5 – 13 . However, the solar-to-hydrogen (STH) efficiency, a vital index for assessing photocatalytic water splitting, is not yet satisfactory for currently available photocatalysts due to the light absorption limit, low carrier utilization and poor kinetic overpotential 14 – 16 . Two-dimensional (2D) polar materials are promising to overcome the aforementioned problems. Intrinsic spontaneous polarization in such a specific semiconducting system could induce an internal electric filed, conducive to suppressing the charge-carrier recombination and widening light absorption region 17 – 20 . According to the recent catalytic mechanism proposed by Yang et al 21 , the theoretically STH efficiency of some predicted 2D polar materials can exceed the conventional upper limit of ~ 18% 22–25 . Despite these valuable advances, at present, the difficulties for this field lie in how we can effectively find more promising candidate materials with desirable properties. Physically, creating 2D spontaneous polarization is usually accompanied by out-of-plane symmetry breaking, which largely depends on the material’s asymmetric configurations and constituents. Much conventional attentions are given to achieving this goal by extrinsic modulation strategies, for example via Z-scheme heterostructure construction, elements doping, defect engineering and adatom decoration 26 – 31 , but these strategies suffer from material selection limitation and structure deformation, restricting the identification of potential photocatalytic candidate materials. On the other hand, establishing the research on spontaneous polarization generated by single-layer lattices themselves shows great and ever-increasing prospects both from fundamental physical understanding and potential photocatalytic applications. However, because of the lack of out-of-plane asymmetry, the construction of the internal electric field from single-layer lattice remains a great challenging task. Therefore, it is of great significance to develop a feasible path to break out-of-plane spatial symmetry for introducing spontaneous polarization. In this work, starting from septuple-atomic-layer configuration of the emerging MoSi 2 N 4 , we theoretically identify a general intercalation design principle to construct a series of 2D asymmetric single-layer structures featuring intrinsic diploes. Through the first-principles calculations, we obtained four stable MSi 2 N 3 Y (M = Mo, W; Y = P, As) monolayer, and systemically investigated their photocatalytic properties dependent on intrinsic polarization. Our results show that the presence of internal electric field improves the efficiency of charge separation and driving force of photo-induced carriers, thus boosting the photocatalytic performance. Excitingly, the STH efficiencies of MSi 2 N 3 Ymonolayers are up to 29.84 − 32.93%. Furthermore, the photocatalytic water-splitting reactions on MSi 2 N 3 Y monolayers is predicted to operate spontaneously under solar radiation. These present findings provide important insights into rational design of 2D high-performance polar photocatalysts. Methods We perform the density functional theory (DFT) calculations by using the Vienna ab initio simulation package (VASP) 32 – 33 . The exchange-correlation interactions were described by the generalized gradient approximation in the form of the Perdew–Burke–Ernzerhof (PBE) 34 . The Heyd-Scuseria-Ernzerhof (HSE06) hybrid functional 35 was adopted for the electronic structure calculations. All geometric structures were fully relaxed until the residual force was less than 0.01 eV Å – 1 . The cutoff energy and convergence criterion of energy were set as 500 eV and 10 − 5 eV, respectively. A Monkhorst-Pack k-point mesh of 10×10×1 was employed for sampling 2D Brillouin zone. To avoid interactions between adjacent periodic images, the vacuum space of 20 Å along the out-of-plane direction was added. Grimme’s DFT-D3 method 36 was applied to take van der Waals interactions into account. Ab initio molecular dynamics (AIMD) simulation were carried out to examine the thermal stability at 300K for 5ps with a time step of 2 fs. The phonon dispersion was calculated based on the density functional perturbation theory using the PHONOPY code 37 . Results Screening of promising candidates. Figure 1 (a) shows the top and side views of primitive cell of the MoSi 2 N 4 monolayer with a septuple-atomic-layer structure, where the MN 2 layer is sandwiched by the top and down Si-N bilayers. The optimized lattice constant of MoSi 2 N 4 monolayer is 2.90 Å, consistent with the value reported by the previous experiments. Based on the sandwich architecture of MoSi 2 N 4 monolayer, we construct 2D MSi 2 N 2 XY (M = Mo, W; X/Y = N, P, As, S, Se, Te; X ≠ Y) compounds by a intercalation design principle, that is, inserting a Janus MXY layer into the Si 2 N 2 layer. The atomic arrangements and our studied element compositions of MSi 2 N 2 XY monolayers are shown in Fig. 1 (b), where M represents group-VI transition-metal elements (M = Mo, W), X and Y correspond to group-V and -VI elements (X, Y = N, P, As, S, Se, Te; X ≠ Y). The asymmetric geometry of MXY layer results in the crystalline symmetry breaking of MSi 2 N 2 XY monolayers, which leads to spontaneous polarization along the out-of-plane direction. Through the stochastic combination of element compositions, 30 possible configurations for 2D MSi 2 N 2 XY materials are initially identified. Then, all these predicted structures are fully relaxed to obtain their corresponding stable configurations. To explore the potential application of MSi 2 N 2 XY monolayers in water splitting, we present a multilevel workflow combining several key criteria to screen stable, and highly efficient candidate photocatalysts, as shown in Fig. 1 (c). In general, the external potential provided by photogenerated electrons (and holes) should be large enough to overcome the overpotential of HER (and OER), so that the whole process of water splitting can proceed spontaneously. Moreover, the STH efficiency can be used to evaluate the energy conversion efficiency of photocatalytic materials quantitatively. Therefore, we introduced the energy cost and STH efficiency as determining descriptors to characterize the photocatalytic activity of MSi 2 N 2 XY monolayers. Following this screening strategy, the structural properties of MSi 2 N 2 XY monolayers are studied first. Detailed structural parameters are listed in Tables S1. It is found that some predicted structures display a lattice stretching along the z -direction after geometry optimizations due to the enlarged bond length between Si and X (Y) atoms d Si−X ( d Si−Y ). Excessive distance stretching between MXY layer and SiN layer means the structural distortions of MSi 2 N 2 XY monolayers. We define a threshold value of 3.0 Å for d Si−X ( d Si−Y ) to assess the distortion degree of MSi 2 N 2 XY monolayers, and find that 22 candidates are within this threshold range, indicating that these structures possess good structural strength. After that, we perform a series of stability confirmation calculations to further screen stable and synthesizable candidates, as shown in Fig. S1. First, we calculated the enthalpies of formation of MSi 2 N 2 XY monolayers by \({E}_{\text{f}}=\left\{{{E}_{\text{t}\text{o}\text{t}}-(E}_{\text{M}}+{2E}_{\text{S}\text{i}}+{2E}_{\text{N}}+{E}_{\text{X}}+{E}_{\text{Y}})\right\}/7\) , where \({E}_{\text{t}\text{o}\text{t}}\) represents the total energy of the system, and \({E}_{\text{M}}\) , \({E}_{\text{S}\text{i}}\) \({E}_{\text{N}}\) , \({E}_{\text{X}}\) and \({E}_{\text{Y}}\) are the energies of separate M, Si, N, X and Y atoms, respectively. As shown in Fig. S2, we found that the enthalpies of formation of 22 selected MSi 2 N 2 XY monolayers are within the range of -0.73 eV to -2.74 eV, demonstrating the energetics. Then, we explore their dynamical stability by calculating the phonon dispersion, for which the results are shown in Fig. 2 and S3. Our calculations suggest that only four candidates, that is, MoSi 2 N 3 P, MoSi 2 N 3 As, WSi 2 N 3 P and WSi 2 N 3 As are dynamically stable, while the others 18 compounds are discarded since they exhibit imaginary frequencies. The AIMD simulations are conducted to further confirm the thermal stabilities of four selected structures (Fig. 2 ). After 5ps of heating at room temperature, the fluctuation range of energy and temperature is small, and no large structural deformation occurs, attesting high thermal stability. Additionally, four independent elastic constants \({C}_{11}\) , \({C}_{22}\) , \({C}_{12}\) and \({C}_{66}\) of MSi 2 N 2 XY monolayers are obtained, which fulfills the Born-Huang criteria 38 for mechanically stable 2D systems. (see the details in the Supporting Information and Table S2). Furthermore, Young’s modulus Y ( θ ) and Poisson’s ratio υ ( θ ) demonstrate their isotropic mechanical behaviors (Fig. S4). Especially, the calculated Y ( θ ) for MoSi 2 N 3 P and WSi 2 N 3 P reach to 312.8 N/m and 324.6, respectively, which is comparable to graphene (342.2 N/m) 39 and MoS 2 (330.0 N/m) 40 . On the basis of the stability evaluation, four kinds of MSi 2 N 2 XY monolayers, namely, MoSi 2 N 3 P, MoSi 2 N 3 As, WSi 2 N 3 P and WSi 2 N 3 As, are screened out with excellent stabilities. Their band structures predicted by HSE06 functional are shown in the left column of Fig. 3 . It can be seen that all the four candidates exhibit semiconducting characters with the band gaps of 0.96 eV, 0.46 eV, 0.79 eV and 0.45 eV for MoSi 2 N 3 P, MoSi 2 N 3 As, WSi 2 N 3 P and WSi 2 N 3 As, respectively. Intriguingly, MSi 2 N 3 Y monolayers can transform from indirect to direct band gap semiconductors, when the Y component varies from P to As because the valence band maximum (VBM) moves from K to the Γ point. Consequently, the narrow band gaps of 2D MSi 2 N 3 Y in the range of 0.45–0.96 eV means that they can expand the light absorption into visible or even infrared regions, implying efficient utilization of solar energy. Photocatalytic performance of MSi 2 N 2 Y . As is well-known, a prerequisite for water splitting of semiconducting materials is that the band edges enclose the hydrogen reduction potential (-4.44 eV at pH = 0) and water oxidation potential (-5.67 eV at pH = 0) 41 . For conventional photocatalysts without intrinsic polarization, the reduction/oxidation potential is aligned with respect to the conduction/valence band edge according to the same vacuum level, and thus, the band gap required for water splitting should be larger than 1.23 eV. Owing to the broken out-of-plane symmetry, the intrinsic diploes are introduced into MSi 2 N 3 Y monolayers (Table 1), which generates an internal electric field perpendicular to the layer. The presence of internal electric field results in a vacuum level difference between the two sides of MSi 2 N 3 Y monolayers, which is characterized by the electrostatic potential curves in the middle column of Fig. 3 . The internal electric field points from the bottom surface near Y component to the top surface, and the potential differences between the two surfaces are 2.12 eV, 2.55 eV, 2.00 eV and 2.46 eV for MoSi 2 N 3 P, MoSi 2 N 3 As, WSi 2 N 3 P and WSi 2 N 3 As, respectively. Driven by the internal electric field, the photogenerated electrons and holes aggregate on the bottom and top surfaces of MSi 2 N 3 Y monolayers respectively, ensuring that the HER and OER occurs on the two respective regions. In this case, the water redox potentials of MSi 2 N 3 Y monolayers are determined with respect to the vacuum energy levels of the bottom and top surfaces respectively, thus breaking the band gap limitation (1.23 eV) for overall water splitting. Considering the different vacuum levels, the band edge positions of MSi 2 N 3 Y monolayers are shown in the right column of Fig. 3 . Obviously, the conduction band maximum (CBM) of all four candidates lies above the hydrogen reduction potential ( \({E}_{{\text{H}}^{+}/{\text{H}}_{2}}^{\text{r}\text{e}\text{d}}\) ) and the VBM lies below the water oxidation potential ( \({E}_{{\text{O}}_{2}/{\text{H}}_{2\text{O}}}^{\text{o}\text{x}\text{i}}\) ), fulling the band edge requirements for water splitting. Importantly, the energy difference between the \({E}_{{\text{H}}^{+}/{\text{H}}_{2}}^{\text{r}\text{e}\text{d}}\) and the CBM (or VBM) represent the redox capacities of photogenerated electrons (or holes), which is denoted as U e ( U h ) (Fig. 3 ). The detailed U e at the bottom surface and U h at the top surface for MSi 2 N 3 Y monolayers are listed in Table 1. It is found that all four structures satisfy the screening criterion: U e > 0 eV and U h > 1.23 eV, suggesting their sufficient redox capacities for both HER and OER. As a result, MSi 2 N 3 Y monolayers are preliminarily identified as potential structures for overall water splitting. In general, the photogenerated electrons and holes distributed at different locations of one material benefits to reducing their recombination probability. To explore the spatial distribution of photogenerated carriers, we examined the partial charge densities at the CBM and VBM for both MSi 2 N 3 Y and MSi 2 N 4 monolayers, which is shown in Fig. S5. For the MSi 2 N 4 monolayers, both the charge densities of the CBM and VBM are mainly distributed at the MN 2 layer, which is consistent with previous reports. In contrast, for the case of MSi 2 N 3 Y monolayers, the charge density of the CBM is mostly localized at the Si-N layer while that of VBM is localized at the MXY layer, resulting in good separation between photogenerated electrons and holes. Such charge distribution can significantly decrease the possibility of recombination of photogenerated electrons and holes, and ensure the high efficiency of photocatalytic reactions. Above, we have confirmed that MSi 2 N 3 Y monolayers possess suitable band edge positions with sufficient redox potentials. Therein, we further investigated the mechanism of the half-reaction of both water oxidation and hydrogen reduction by calculating their reaction free energies at a neutral condition (Computational details can be obtained in supplementary materials). For HER, there are only two reaction steps (reaction (1) and (2)). Therefore, the reaction barrier (𝐸 barrier ) could be obtained as follows: $${E}_{barrier-HER}=\left\{\begin{array}{c}\text{max}\left({\varDelta G}_{1},{\varDelta G}_{2}\right) \text{max}\left({\varDelta G}_{1},{\varDelta G}_{2}\right)>0\\ 0\text{ max}\left({\varDelta G}_{1},{\varDelta G}_{2}\right)<0\end{array}\right.$$ 1 While the OER follows four elementary steps (reaction (3), (4), (5) and (6)). The 𝐸 barrier of OER is determined by: $${E}_{barrier-OER}=\left\{\begin{array}{c}\text{max}\left({\varDelta G}_{3},{\varDelta G}_{4},{\varDelta G}_{5},{\varDelta G}_{6}\right) \text{max}\left({\varDelta G}_{3},{\varDelta G}_{4},{\varDelta G}_{5},{\varDelta G}_{6}\right)>0\\ 0\text{ max}\left({\varDelta G}_{3},{\varDelta G}_{4},{\varDelta G}_{5},{\varDelta G}_{6}\right)<0\end{array}\right.$$ 2 When the 𝐸 barrier for HER and OER equals to 0, which means that the redox reactions of overall water splitting can proceed spontaneously. The corresponding free-energy profiles for MSi 2 N 3 Y monolayers are shown in Fig. 4 . In the dark environment, the 𝐸 barrier s of HER and OER for MoSi 2 N 3 P monolayer are calculated to be 0.55 eV and 0.56 eV, respectively, requiring additional energies for photocatalytic reactions. At light irradiation condition, U e and U h can act as the driving forces of photogenerated electrons and holes to decrease the 𝐸 barrier s of HER and OER, respectively, thereby directly promoting the full water-splitting process. Accordingly, we find that the free energies for HER and OER decrease in each step with the external potential of U e = 0.96 V and U h = 2.12 V under illumination, implying that MoSi 2 N 3 P monolayer can catalyze water to produce hydrogen and oxygen spontaneously. Similar to the case of monolayer MoSi 2 N 3 P, the other three structures show the different values of 𝐸 barrier at the absence of any light irradiation, but they all can satisfy the screening criterion: 𝐸 barrier−HER = 𝐸 barrier−OER = 0 eV under illumination. Solar-to-hydrogen efficiency . Excellent optical response is of great significance to produce more photogenerated carriers under photon absorption. To evaluate the performance of MSi 2 N 3 Y monolayers in harvesting sunlight, we calculated their optical absorption spectra by using the HSE06 functional. As shown in Fig. S6, compared with MSi 2 N 4 monolayer, a red-shift of the spectrum is observed for MSi 2 N 3 Y monolayers, supporting its utilization of visible light. Moreover, we obtain the peak intensity of up to 2×10 5 cm − 1 for MoSi 2 N 3 As monolayer, which is higher than that of previously reported 2D MSiGeN 4 42 . Hence, the MSi 2 N 3 Y monolayers can effectively harvest sunlight, improving the efficiency of light absorption as a photocatalyst for water splitting. As listed in Table S6, the light absorption efficiency of MSi 2 N 3 Y monolayers exceed 90%. Meanwhile, the intrinsic electric field of MSi 2 N 3 Y monolayers affects the carrier dynamics, enhancing the carrier utilization efficiency. The improvement of energy conversion efficiency is the ultimate target in the pursuit of solar energy utilization. Supposing that the efficiency of catalytic reaction is 100%, the corrected STH efficiencies of MoSi 2 N 3 P、MoSi 2 N 3 As、WSi 2 N 3 P and WSi 2 N 3 As monolayers are predicted to be 30.57%, 29.84%, 32.93% and 30.51%, respectively, which are larger than that of previously reported Janus WSSe (11.68%) 43 , P 4 O 2 (17.2%) 44 and AgBiP 2 Se 6 (10.04%) 45 . Note that these predicted values surpass the conventional theoretical limit of 18% 22 . It is thus conclusive that MSi 2 N 3 Y monolayers can act as an effective candidate for photocatalytic water splitting with high stability and STH efficiency. Discussion To summarize, we propose a general intercalated architecture approach to introduce spontaneous polarization electric field into single-layer systems, and further examine the feasibility of this scheme in a real material of MoSi 2 N 4 . With the help of a multilevel screening workflow, using first-principles calculations, four candidate materials of MSi 2 N 3 Y are theoretically identified. It is found that the internal electric fields of MSi 2 N 3 Y monolayers suppress the recombination of photogenerated carriers, improving the efficiency of carrier utilization. Besides, combination of the band alignment, spatial charge distribution and optical absorption intensities and as well as energy cost supports the great potential of MSi 2 N 3 Y monolayers in overall water splitting. Especially, the high STH efficiencies of 29.84 − 32.93% enable these four materials to efficiently utilize the solar light for photocatalytic hydrogen production. This work not only demonstrates the importance of intrinsic polarization for boosting photocatalysis, but also provides valuable guidance for further design of 2D polar photocatalysts. Declarations Data availability The data supporting the findings of this study are available within the article and its Supplementary Information. Acknowledgements This work was supported by National Basic Research Program of China (Grant No. 2019YFA0307701) and the National Natural Science Foundation of China (No.11874180) , Young and Middle-aged Scientific and Technological Innovation leaders and Team Projects in Jilin Province (20200301020RQ). References Moniz, S. J. A., Shevlin, S. A., Martin, D. J., Guo, Z. X. & Tang J. Visible-light driven heterojunction photocatalysts for water splitting – a critical review. Energ. Environ. Sci. 8, 731-759 (2015). Cheng, L., Li, X., Zhang, H. & Xiang, Q. Two-Dimensional Transition Metal MXene-Based Photocatalysts for Solar Fuel Generation. J. Phys. Chem. Lett. 10, 3488-3494 (2019). Wang, H. et al. Molecular Design of Two-Dimensional Covalent Heptazine Frameworks for Photocatalytic Overall Water Splitting under Visible Light. J. Phys. Chem. Lett. 13, 3949-3956 (2022). Fujishima, A., & Honda, K. Electrochemical Photolysis of Water at a Semiconductor Electrode. Nature 238, 37-38 (1972). Jiang, S. et al. InTeI: a novel wide-bandgap 2D material with desirable stability and highly anisotropic carrier mobility. Nanoscale 12, 5888-5897 (2020). Fan, Y., et al. Highly-efficient overall water splitting in 2D Janus group-III chalcogenide multilayers: the roles of intrinsic electric filed and vacancy defects. Sci. Bull. 65, 27-34 (2020). Liu, Y. L., Shi, Y., Yin, H., & Yang, C. L. Two-dimensional BP/β-AsP van der Waals heterostructures as promising photocatalyst for water splitting. Appl. Phys. Lett. 117, 063901 (2020). He, C., Zhang, J. H., Zhang, W. X. & Li, T. T. Type-II InSe/g-C 3 N 4 Heterostructure as a High-Efficiency Oxygen Evolution Reaction Catalyst for Photoelectrochemical Water Splitting. J. Phys. Chem. Lett. 10, 3122-3128 (2019). Gao, Y., Fu, C., Hu, W. & Yang, J. Designing Direct Z-Scheme Heterojunctions Enabled by Edge-Modified Phosphorene Nanoribbons for Photocatalytic Overall Water Splitting. J. Phys. Chem. Lett. 13, 1-11 (2022). Yu, T., Wang, C., Yan, X. & Yang, G., Schwingenschlögl U. Anisotropic Janus SiP 2 Monolayer as a Photocatalyst for Water Splitting. J. Phys. Chem. Lett. 12, 2464-2470 (2021). Liu, H. Y., Yang, C. L., Wang, M. S. & Ma, X. G. Two-dimensional BiP 3 with high carrier mobility and moderate band gap for hydrogen generation from water splitting. Appl. Surf. Sci. 501, 144263 (2020). Lang, J. & Hu, Y. H. Phosphorus-based metal-free Z-scheme 2D van der Waals heterostructures for visible-light photocatalytic water splitting: a first-principles study. Phys. Chem. Chem. Phys. 22, 9250-9256 (2020). Liu, J., et al. GeN 3 monolayer: A promising 2D high-efficiency photo- hydrolytic catalyst with High carrier mobility transport anisotropy. Appl. Catat. B & Environ. 279, 119368 (2020). Li, J., et al. Enhanced Photocatalytic Performance through Magnetic Field Boosting Carrier Transport. ACS Nano 12, 3351-3359 (2018). Wang, Q. et al. Scalable water splitting on particulate photocatalyst sheets with a solar-to-hydrogen energy conversion efficiency exceeding 1%. Nat. Mater. 15, 611-615 (2016). Liu, Y. L. et al. First principles study of photoelectrochemical water splitting in monolayer Sn 2 S 2 P 4 with high solar-to-hydrogen efficiency. Appl. Phys. Lett. 119, 143102 (2021). Chen, F., Huang, H., Guo, L., Zhang, Y. & Ma, T. The Role of Polarization in Photocatalysis. Angew. Chem. Int. Edit. 58, 10061-10073 (2019). Dai, B., et al. Sustainable Internal Electric Field for Enhanced Photocatalysis: From Material Design to Energy Utilization. J. Phys. Chem. Lett. 11, 7407-7416 (2020). Fan, Y., Song, X., Qi, S., Ma, X. & Zhao, M. Li-III-VI bilayers for efficient photocatalytic overall water splitting: the role of intrinsic electric field. J. Mater. Chem. A 7, 26123-26130 (2019). Zhao, P., Ma, Y., Lv, X., Li, M., Huang, B. & Dai, Y. Two-dimensional III2-VI3 materials: Promising photocatalysts for overall water splitting under infrared light spectrum. Nano Energy 51, 533-538 (2018). Li, X. & Li, Z. Yang J. Proposed Photosynthesis Method for Producing Hydrogen from Dissociated Water Molecules Using Incident Near-Infrared Light. Phys. Rev. Lett. 112, 018301 (2014). Fu, C. F. et al. Intrinsic Electric Fields in Two-dimensional Materials Boost the Solar-to-Hydrogen Efficiency for Photocatalytic Water Splitting. Nano Lett. 18, 6312-6317 (2018). Sun, R., Yang, C. L., Wang, M. S. & Ma, X. G. High solar-to-hydrogen efficiency photocatalytic hydrogen evolution reaction with the HfSe 2 /InSe heterostructure. J. Power Sources 547, 232008 (2022). Luo, Y., Sun, M. & Yu, J. Schwingenschlögl U. Pd 4 S 3 Se 3 , Pd 4 S 3 Te 3 , and Pd 4 Se 3 Te 3 : Candidate Two-Dimensional Janus Materials for Photocatalytic Water Splitting. Chem. Mater. 33, 4128-4134 (2021). Jiang, X., et al. Design of a noble-metal-free direct Z-scheme photocatalyst for overall water splitting based on a SnC/SnSSe van der Waals heterostructure. Phys. Chem. Chem. Phys. 23, 21641-21651 (2021). Ma, H. et al. Enhancing the Photoinduced Interlayer Charge Transfer and Spatial Separation in Type-II Heterostructure of WS 2 and Asymmetric Janus-MoSSe with Intrinsic Self-Build Electric Field. J. Phys. Chem. Lett. 13, 8484-8494 (2022). Yin, Q. K., Yang, C. L., Wang, M. S. & Ma, X. G. Two-dimensional heterostructures of AuSe/SnS for the photocatalytic hydrogen evolution reaction with a Z-scheme. J. Mater. Chem. C 9, 12231-12238 (2021). Wang, X. et al. Interfacial chemical bond and internal electric field modulated Z-scheme Sv-ZnIn 2 S 4 /MoSe 2 photocatalyst for efficient hydrogen evolution. Nat. Commun. 12, 4112 (2021). Wang, Y. et al. Direct and indirect Z-scheme heterostructure-coupled photosystem enabling cooperation of CO 2 reduction and H 2 O oxidation. Nat. Commun. 11, 3043 (2020). Jin, H., Dai, Y. & Huang, B. B. Design of Advanced Photocatalysis System by Adatom Decoration in 2D Nanosheets of Group-IV and III–V Binary Compounds. Sci. Rep. 6, 23104 (2016). Bai, S., Zhang, N., Gao, C. & Xiong, Y. Defect engineering in photocatalytic materials. Nano Energy 53, 296-336 (2018). Kresse, G. & Furthmüller, J. Efficient iterative schemes for ab initio total-energy calculations using a plane-wave basis set. Phys. Rev. B 54, 11169-11186 (1996). Kresse, G. & Furthmüller, J. Efficiency of ab-initio total energy calculations for metals and semiconductors using a plane-wave basis set. Comp. Mater. Sci. 6, 15-50 (1996). Perdew, J. P., Burke, K. & Ernzerhof, M. Generalized Gradient Approximation Made Simple. Phys. Rev. Lett. 77, 3865-3868 (1996). Heyd, J., Scuseria, G. E. & Ernzerhof, M. Hybrid functionals based on a screened Coulomb potential. J. Chem. Phys. 118, 8207-8215 (2003). Grimme, S., Antony, J., Ehrlich, S. & Krieg, H. A consistent and accurate ab initio parametrization of density functional dispersion correction (DFT-D) for the 94 elements H-Pu. J. Chem. Phys. 132, 154104 (2010). Togo, A. & Tanaka, I. First principles phonon calculations in materials science. Scripta Mater. 108, 1-5 (2015). Andrew, R. C., Mapasha, R. E., Ukpong, A. M. & Chetty, N. Mechanical properties of graphene and boronitrene. Phys. Rev. B 85, 125428 (2012). Lee, C., Wei, X., Kysar, J. W. & Hone, J. Measurement of the Elastic Properties and Intrinsic Strength of Monolayer Graphene. Science 321, 385 (2008). Castellanos-Gomez, A., Poot, M. & Steele, G. A. van der Zant HSJ, Agraït N, Rubio-Bollinger G. Elastic Properties of Freely Suspended MoS 2 Nanosheets. Adv. Mater. 24, 772-775 (2012). Lv, X.et al. Two-dimensional germanium monochalcogenides for photocatalytic water splitting with high carrier mobility. Applied Catalysis B: Environmental 217, 275-284 (2017). Yu, Y., Zhou, J., Guo, Z. & Sun, Z. Novel Two-Dimensional Janus MoSiGeN 4 and WSiGeN 4 as Highly Efficient Photocatalysts for Spontaneous Overall Water Splitting. ACS Appl. Mater. Inter. 13, 28090-28097 (2021). Ju, L., Bie, M., Tang, X., Shang, J. & Kou, L. Janus WSSe Monolayer: An Excellent Photocatalyst for Overall Water Splitting. ACS Appl. Mater. Inter. 12, 29335-29343 (2020). Lu, B., Zheng, X. & Li, Z. Few-Layer P4O 2 : A Promising Photocatalyst for Water Splitting. ACS Appl. Mater. Inter. 11, 10163-10170 (2019). Ju, L., Shang, J., Tang, X. & Kou, L. Tunable Photocatalytic Water Splitting by the Ferroelectric Switch in a 2D AgBiP 2 Se 6 Monolayer. J. Am. Chem. Soc. 142, 1492-1500 (2020). Table Table 1 is not available with this version Additional Declarations There is NO Competing Interest. Supplementary Files SupportingInformation.docx Cite Share Download PDF Status: Posted Version 1 posted You are reading this latest preprint version Research Square lets you share your work early, gain feedback from the community, and start making changes to your manuscript prior to peer review in a journal. As a division of Research Square Company, we’re committed to making research communication faster, fairer, and more useful. We do this by developing innovative software and high quality services for the global research community. Our growing team is made up of researchers and industry professionals working together to solve the most critical problems facing scientific publishing. Also discoverable on Platform About Our Team In Review Editorial Policies Advisory Board Help Center Resources Author Services Accessibility API Access RSS feed Manage Cookie Preferences © Research Square 2026 | ISSN 2693-5015 (online) Privacy Policy Terms of Service Do Not Sell My Personal Information {"props":{"pageProps":{"initialData":{"identity":"rs-2232446","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Article","associatedPublications":[],"authors":[{"id":150551476,"identity":"ba1cbe24-0fa9-40d3-83b1-e3381e92ef9b","order_by":0,"name":"Yuliang Liu","email":"","orcid":"","institution":"Jilin University","correspondingAuthor":false,"prefix":"","firstName":"Yuliang","middleName":"","lastName":"Liu","suffix":""},{"id":150551477,"identity":"bbcb3e14-ab57-4ad6-a720-07c67e23f428","order_by":1,"name":"Feng Wan","email":"","orcid":"","institution":"Jilin University","correspondingAuthor":false,"prefix":"","firstName":"Feng","middleName":"","lastName":"Wan","suffix":""},{"id":150551478,"identity":"f88e3451-2b6f-407c-9890-07c05641591a","order_by":2,"name":"Bo Li","email":"","orcid":"","institution":"Jilin University","correspondingAuthor":false,"prefix":"","firstName":"Bo","middleName":"","lastName":"Li","suffix":""},{"id":150551479,"identity":"cdf2ac6a-bde1-4ae6-94d1-f1080ee1cfb2","order_by":3,"name":"Xingshuai Lv","email":"","orcid":"","institution":"Beijing Computational Science Research Center (CSRC)","correspondingAuthor":false,"prefix":"","firstName":"Xingshuai","middleName":"","lastName":"Lv","suffix":""},{"id":150551480,"identity":"e825b845-d154-420d-8976-e27d164e7db8","order_by":4,"name":"Chuan-Lu Yang","email":"","orcid":"https://orcid.org/0000-0001-9138-3075","institution":"Ludong University","correspondingAuthor":false,"prefix":"","firstName":"Chuan-Lu","middleName":"","lastName":"Yang","suffix":""},{"id":150551481,"identity":"52252431-96d9-409f-9641-a69690d7b4eb","order_by":5,"name":"Ying Shi","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA1klEQVRIie3OIQsCMRjG8WcIXhlcnUH8CgNBBEG/yh2GKyJGg+EF4ar1QL+FYN4YmLQbDCaTwSgi4obmu9kE9y/bYD94gFDoFxOMAAnEMPaC2hekQdqbfE6pmCdpLedU45Njf611LjDtpRTtVSmRR22JPA83ypFdlhIfJ+VEpI6YYccRlpuUBJflw4oPaZMjTw+Cw5v0JRwhDyItYStpEqH0vJtss3bOR1XDshMuDzOIC6MP11mvuYh2FcOA6M4Bu0cBiX3Wq/672A0YICafv6FQKPSPvQBlakjyivqr/QAAAABJRU5ErkJggg==","orcid":"https://orcid.org/0000-0002-6240-8795","institution":"Jilin University","correspondingAuthor":true,"prefix":"","firstName":"Ying","middleName":"","lastName":"Shi","suffix":""}],"badges":[],"createdAt":"2022-11-03 04:55:35","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-2232446/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-2232446/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":28869422,"identity":"5ef88013-7184-4b68-ba51-a1b95302fa56","added_by":"auto","created_at":"2022-11-09 18:21:39","extension":"png","order_by":1,"title":"Figure 1","display":"","copyAsset":false,"role":"figure","size":270240,"visible":true,"origin":"","legend":"\u003cp\u003e(a) Top and side views of the MoSi\u003csub\u003e2\u003c/sub\u003eN\u003csub\u003e4\u003c/sub\u003e monolayer (b) Elemental compositions of our proposed MSi2N2XY monolayer. (c) Multilevel workflow for screening potential candidate photocatalysts.\u003c/p\u003e","description":"","filename":"Figure1.png","url":"https://assets-eu.researchsquare.com/files/rs-2232446/v1/ce89a6622306b79a85f15f94.png"},{"id":28870018,"identity":"af5956c6-859f-4501-9905-92ec159679ce","added_by":"auto","created_at":"2022-11-09 18:37:39","extension":"png","order_by":2,"title":"Figure 2","display":"","copyAsset":false,"role":"figure","size":321284,"visible":true,"origin":"","legend":"\u003cp\u003e(a)-(d) Phonon dispersion spectra, and AIMD energy fluctuations of MSi\u003csub\u003e2\u003c/sub\u003eN\u003csub\u003e3\u003c/sub\u003eY monolayer at 300K.\u003c/p\u003e","description":"","filename":"Figure2.png","url":"https://assets-eu.researchsquare.com/files/rs-2232446/v1/afef9da105b81a874561c191.png"},{"id":28869864,"identity":"6064a162-6c40-4cd4-8bec-456c85983f41","added_by":"auto","created_at":"2022-11-09 18:29:39","extension":"png","order_by":3,"title":"Figure 3","display":"","copyAsset":false,"role":"figure","size":268585,"visible":true,"origin":"","legend":"\u003cp\u003e(a)-(d) Band alignments of MSi\u003csub\u003e2\u003c/sub\u003eN\u003csub\u003e3\u003c/sub\u003eY monolayers with respect to water redox potential. Cyan and purple bars represent the valence and conduction bands, respectively.\u003c/p\u003e","description":"","filename":"Figure3.png","url":"https://assets-eu.researchsquare.com/files/rs-2232446/v1/1bbc3bec230b6825a22ee57d.png"},{"id":28869425,"identity":"e7b916b0-c554-4f6b-9a6e-aae75395d4e1","added_by":"auto","created_at":"2022-11-09 18:21:39","extension":"png","order_by":4,"title":"Figure 4","display":"","copyAsset":false,"role":"figure","size":256129,"visible":true,"origin":"","legend":"\u003cp\u003e(a) Proposed photocatalytic pathways and free energy profiles of OER and HER on (a) MoSi\u003csub\u003e2\u003c/sub\u003eN\u003csub\u003e3\u003c/sub\u003eP、(b) MoSi\u003csub\u003e2\u003c/sub\u003eN\u003csub\u003e3\u003c/sub\u003eAs、(c) WSi\u003csub\u003e2\u003c/sub\u003eN\u003csub\u003e3\u003c/sub\u003eP and (d) WSi\u003csub\u003e2\u003c/sub\u003eN\u003csub\u003e3\u003c/sub\u003eAs monolayers at different conditions.\u003c/p\u003e","description":"","filename":"Figure4.png","url":"https://assets-eu.researchsquare.com/files/rs-2232446/v1/20d31325d75cde6fb9f84f7d.png"},{"id":30643091,"identity":"5d5c5227-848b-47db-89f7-2a8da9caf1c2","added_by":"auto","created_at":"2022-12-21 20:01:20","extension":"pdf","order_by":0,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":1271058,"visible":true,"origin":"","legend":"","description":"","filename":"manuscript.pdf","url":"https://assets-eu.researchsquare.com/files/rs-2232446/v1/db1ff382-478d-4f95-9d19-330660cdf943.pdf"},{"id":28869426,"identity":"d6ea4433-dc40-4010-8468-cc6d44a6b61e","added_by":"auto","created_at":"2022-11-09 18:21:39","extension":"docx","order_by":1,"title":"","display":"","copyAsset":false,"role":"supplement","size":2390902,"visible":true,"origin":"","legend":"\u003cp\u003e\u003cbr\u003e\u003c/p\u003e","description":"","filename":"SupportingInformation.docx","url":"https://assets-eu.researchsquare.com/files/rs-2232446/v1/f4df12550dacfaeb3324237a.docx"}],"financialInterests":"There is \u003cb\u003eNO\u003c/b\u003e Competing Interest.","formattedTitle":"Internal Electric Fields in Asymmetric Single-layer Lattices for Enhancing Photocatalytic Solar-to-Hydrogen Efficiency","fulltext":[{"header":"Introduction","content":"\u003cp\u003ePhotocatalytic water splitting is a green and renewable avenue to convert solar energy and water sources into hydrogen energy, which is of great significance to alleviate the current energy and environmental problems\u003csup\u003e\u003cspan additionalcitationids=\"CR2\" citationid=\"CR1\" class=\"CitationRef\"\u003e1\u003c/span\u003e\u0026ndash;\u003cspan citationid=\"CR3\" class=\"CitationRef\"\u003e3\u003c/span\u003e\u003c/sup\u003e. Since the pioneering work in TiO\u003csub\u003e2\u003c/sub\u003e by Fujishima and Honda\u003csup\u003e\u003cspan citationid=\"CR4\" class=\"CitationRef\"\u003e4\u003c/span\u003e\u003c/sup\u003e, numerous potential photocatalytic materials have been proposed for solar hydrogen production\u003csup\u003e\u003cspan additionalcitationids=\"CR6 CR7 CR8 CR9 CR10 CR11 CR12\" citationid=\"CR5\" class=\"CitationRef\"\u003e5\u003c/span\u003e\u0026ndash;\u003cspan citationid=\"CR13\" class=\"CitationRef\"\u003e13\u003c/span\u003e\u003c/sup\u003e. However, the solar-to-hydrogen (STH) efficiency, a vital index for assessing photocatalytic water splitting, is not yet satisfactory for currently available photocatalysts due to the light absorption limit, low carrier utilization and poor kinetic overpotential\u003csup\u003e\u003cspan additionalcitationids=\"CR15\" citationid=\"CR14\" class=\"CitationRef\"\u003e14\u003c/span\u003e\u0026ndash;\u003cspan citationid=\"CR16\" class=\"CitationRef\"\u003e16\u003c/span\u003e\u003c/sup\u003e. Two-dimensional (2D) polar materials are promising to overcome the aforementioned problems. Intrinsic spontaneous polarization in such a specific semiconducting system could induce an internal electric filed, conducive to suppressing the charge-carrier recombination and widening light absorption region\u003csup\u003e\u003cspan additionalcitationids=\"CR18 CR19\" citationid=\"CR17\" class=\"CitationRef\"\u003e17\u003c/span\u003e\u0026ndash;\u003cspan citationid=\"CR20\" class=\"CitationRef\"\u003e20\u003c/span\u003e\u003c/sup\u003e. According to the recent catalytic mechanism proposed by Yang \u003cem\u003eet al\u003c/em\u003e\u003csup\u003e\u003cspan citationid=\"CR21\" class=\"CitationRef\"\u003e21\u003c/span\u003e\u003c/sup\u003e, the theoretically STH efficiency of some predicted 2D polar materials can exceed the conventional upper limit of ~\u0026thinsp;18%\u003csup\u003e22\u0026ndash;25\u003c/sup\u003e. Despite these valuable advances, at present, the difficulties for this field lie in how we can effectively find more promising candidate materials with desirable properties.\u003c/p\u003e \u003cp\u003ePhysically, creating 2D spontaneous polarization is usually accompanied by out-of-plane symmetry breaking, which largely depends on the material\u0026rsquo;s asymmetric configurations and constituents. Much conventional attentions are given to achieving this goal by extrinsic modulation strategies, for example via Z-scheme heterostructure construction, elements doping, defect engineering and adatom decoration\u003csup\u003e\u003cspan additionalcitationids=\"CR27 CR28 CR29 CR30\" citationid=\"CR26\" class=\"CitationRef\"\u003e26\u003c/span\u003e\u0026ndash;\u003cspan citationid=\"CR31\" class=\"CitationRef\"\u003e31\u003c/span\u003e\u003c/sup\u003e, but these strategies suffer from material selection limitation and structure deformation, restricting the identification of potential photocatalytic candidate materials. On the other hand, establishing the research on spontaneous polarization generated by single-layer lattices themselves shows great and ever-increasing prospects both from fundamental physical understanding and potential photocatalytic applications. However, because of the lack of out-of-plane asymmetry, the construction of the internal electric field from single-layer lattice remains a great challenging task. Therefore, it is of great significance to develop a feasible path to break out-of-plane spatial symmetry for introducing spontaneous polarization.\u003c/p\u003e \u003cp\u003eIn this work, starting from septuple-atomic-layer configuration of the emerging MoSi\u003csub\u003e2\u003c/sub\u003eN\u003csub\u003e4\u003c/sub\u003e, we theoretically identify a general intercalation design principle to construct a series of 2D asymmetric single-layer structures featuring intrinsic diploes. Through the first-principles calculations, we obtained four stable MSi\u003csub\u003e2\u003c/sub\u003eN\u003csub\u003e3\u003c/sub\u003eY (M\u0026thinsp;=\u0026thinsp;Mo, W; Y\u0026thinsp;=\u0026thinsp;P, As) monolayer, and systemically investigated their photocatalytic properties dependent on intrinsic polarization. Our results show that the presence of internal electric field improves the efficiency of charge separation and driving force of photo-induced carriers, thus boosting the photocatalytic performance. Excitingly, the STH efficiencies of MSi\u003csub\u003e2\u003c/sub\u003eN\u003csub\u003e3\u003c/sub\u003eYmonolayers are up to 29.84\u0026thinsp;\u0026minus;\u0026thinsp;32.93%. Furthermore, the photocatalytic water-splitting reactions on MSi\u003csub\u003e2\u003c/sub\u003eN\u003csub\u003e3\u003c/sub\u003eY monolayers is predicted to operate spontaneously under solar radiation. These present findings provide important insights into rational design of 2D high-performance polar photocatalysts.\u003c/p\u003e"},{"header":"Methods","content":"\u003cp\u003eWe perform the density functional theory (DFT) calculations by using the Vienna ab initio simulation package (VASP)\u003csup\u003e\u003cspan citationid=\"CR32\" class=\"CitationRef\"\u003e32\u003c/span\u003e\u0026ndash;\u003cspan citationid=\"CR33\" class=\"CitationRef\"\u003e33\u003c/span\u003e\u003c/sup\u003e. The exchange-correlation interactions were described by the generalized gradient approximation in the form of the Perdew\u0026ndash;Burke\u0026ndash;Ernzerhof (PBE)\u003csup\u003e\u003cspan citationid=\"CR34\" class=\"CitationRef\"\u003e34\u003c/span\u003e\u003c/sup\u003e. The Heyd-Scuseria-Ernzerhof (HSE06) hybrid functional\u003csup\u003e\u003cspan citationid=\"CR35\" class=\"CitationRef\"\u003e35\u003c/span\u003e\u003c/sup\u003e was adopted for the electronic structure calculations. All geometric structures were fully relaxed until the residual force was less than 0.01 eV \u0026Aring;\u003csup\u003e\u0026ndash;\u003cspan citationid=\"CR1\" class=\"CitationRef\"\u003e1\u003c/span\u003e\u003c/sup\u003e. The cutoff energy and convergence criterion of energy were set as 500 eV and 10\u003csup\u003e\u0026minus;\u0026thinsp;5\u003c/sup\u003e eV, respectively. A Monkhorst-Pack k-point mesh of 10\u0026times;10\u0026times;1 was employed for sampling 2D Brillouin zone. To avoid interactions between adjacent periodic images, the vacuum space of 20 \u0026Aring; along the out-of-plane direction was added. Grimme\u0026rsquo;s DFT-D3 method\u003csup\u003e\u003cspan citationid=\"CR36\" class=\"CitationRef\"\u003e36\u003c/span\u003e\u003c/sup\u003e was applied to take van der Waals interactions into account. Ab initio molecular dynamics (AIMD) simulation were carried out to examine the thermal stability at 300K for 5ps with a time step of 2 fs. The phonon dispersion was calculated based on the density functional perturbation theory using the PHONOPY code\u003csup\u003e\u003cspan citationid=\"CR37\" class=\"CitationRef\"\u003e37\u003c/span\u003e\u003c/sup\u003e.\u003c/p\u003e"},{"header":"Results","content":"\u003cp\u003e \u003cb\u003eScreening of promising candidates.\u003c/b\u003e Figure\u0026nbsp;\u003cspan refid=\"Fig1\" class=\"InternalRef\"\u003e1\u003c/span\u003e(a) shows the top and side views of primitive cell of the MoSi\u003csub\u003e2\u003c/sub\u003eN\u003csub\u003e4\u003c/sub\u003e monolayer with a septuple-atomic-layer structure, where the MN\u003csub\u003e2\u003c/sub\u003e layer is sandwiched by the top and down Si-N bilayers. The optimized lattice constant of MoSi\u003csub\u003e2\u003c/sub\u003eN\u003csub\u003e4\u003c/sub\u003e monolayer is 2.90 \u0026Aring;, consistent with the value reported by the previous experiments. Based on the sandwich architecture of MoSi\u003csub\u003e2\u003c/sub\u003eN\u003csub\u003e4\u003c/sub\u003e monolayer, we construct 2D MSi\u003csub\u003e2\u003c/sub\u003eN\u003csub\u003e2\u003c/sub\u003eXY (M\u0026thinsp;=\u0026thinsp;Mo, W; X/Y\u0026thinsp;=\u0026thinsp;N, P, As, S, Se, Te; X\u0026thinsp;\u0026ne;\u0026thinsp;Y) compounds by a intercalation design principle, that is, inserting a Janus MXY layer into the Si\u003csub\u003e2\u003c/sub\u003eN\u003csub\u003e2\u003c/sub\u003e layer. The atomic arrangements and our studied element compositions of MSi\u003csub\u003e2\u003c/sub\u003eN\u003csub\u003e2\u003c/sub\u003eXY monolayers are shown in Fig.\u0026nbsp;\u003cspan refid=\"Fig1\" class=\"InternalRef\"\u003e1\u003c/span\u003e(b), where M represents group-VI transition-metal elements (M\u0026thinsp;=\u0026thinsp;Mo, W), X and Y correspond to group-V and -VI elements (X, Y\u0026thinsp;=\u0026thinsp;N, P, As, S, Se, Te; X\u0026thinsp;\u0026ne;\u0026thinsp;Y). The asymmetric geometry of MXY layer results in the crystalline symmetry breaking of MSi\u003csub\u003e2\u003c/sub\u003eN\u003csub\u003e2\u003c/sub\u003eXY monolayers, which leads to spontaneous polarization along the out-of-plane direction. Through the stochastic combination of element compositions, 30 possible configurations for 2D MSi\u003csub\u003e2\u003c/sub\u003eN\u003csub\u003e2\u003c/sub\u003eXY materials are initially identified. Then, all these predicted structures are fully relaxed to obtain their corresponding stable configurations.\u003c/p\u003e \u003cp\u003e \u003c/p\u003e \u003cp\u003eTo explore the potential application of MSi\u003csub\u003e2\u003c/sub\u003eN\u003csub\u003e2\u003c/sub\u003eXY monolayers in water splitting, we present a multilevel workflow combining several key criteria to screen stable, and highly efficient candidate photocatalysts, as shown in Fig.\u0026nbsp;\u003cspan refid=\"Fig1\" class=\"InternalRef\"\u003e1\u003c/span\u003e(c). In general, the external potential provided by photogenerated electrons (and holes) should be large enough to overcome the overpotential of HER (and OER), so that the whole process of water splitting can proceed spontaneously. Moreover, the STH efficiency can be used to evaluate the energy conversion efficiency of photocatalytic materials quantitatively. Therefore, we introduced the energy cost and STH efficiency as determining descriptors to characterize the photocatalytic activity of MSi\u003csub\u003e2\u003c/sub\u003eN\u003csub\u003e2\u003c/sub\u003eXY monolayers.\u003c/p\u003e \u003cp\u003eFollowing this screening strategy, the structural properties of MSi\u003csub\u003e2\u003c/sub\u003eN\u003csub\u003e2\u003c/sub\u003eXY monolayers are studied first. Detailed structural parameters are listed in Tables S1. It is found that some predicted structures display a lattice stretching along the \u003cem\u003ez\u003c/em\u003e-direction after geometry optimizations due to the enlarged bond length between Si and X (Y) atoms \u003cem\u003ed\u003c/em\u003e\u003csub\u003eSi\u0026minus;X\u003c/sub\u003e (\u003cem\u003ed\u003c/em\u003e\u003csub\u003eSi\u0026minus;Y\u003c/sub\u003e). Excessive distance stretching between MXY layer and SiN layer means the structural distortions of MSi\u003csub\u003e2\u003c/sub\u003eN\u003csub\u003e2\u003c/sub\u003eXY monolayers. We define a threshold value of 3.0 \u0026Aring; for \u003cem\u003ed\u003c/em\u003e\u003csub\u003eSi\u0026minus;X\u003c/sub\u003e (\u003cem\u003ed\u003c/em\u003e\u003csub\u003eSi\u0026minus;Y\u003c/sub\u003e) to assess the distortion degree of MSi\u003csub\u003e2\u003c/sub\u003eN\u003csub\u003e2\u003c/sub\u003eXY monolayers, and find that 22 candidates are within this threshold range, indicating that these structures possess good structural strength.\u003c/p\u003e \u003cp\u003eAfter that, we perform a series of stability confirmation calculations to further screen stable and synthesizable candidates, as shown in Fig. S1. First, we calculated the enthalpies of formation of MSi\u003csub\u003e2\u003c/sub\u003eN\u003csub\u003e2\u003c/sub\u003eXY monolayers by \u003cspan class=\"InlineEquation\"\u003e\u003cspan class=\"mathinline\"\u003e\\({E}_{\\text{f}}=\\left\\{{{E}_{\\text{t}\\text{o}\\text{t}}-(E}_{\\text{M}}+{2E}_{\\text{S}\\text{i}}+{2E}_{\\text{N}}+{E}_{\\text{X}}+{E}_{\\text{Y}})\\right\\}/7\\)\u003c/span\u003e\u003c/span\u003e, where \u003cspan class=\"InlineEquation\"\u003e\u003cspan class=\"mathinline\"\u003e\\({E}_{\\text{t}\\text{o}\\text{t}}\\)\u003c/span\u003e\u003c/span\u003e represents the total energy of the system, and \u003cspan class=\"InlineEquation\"\u003e\u003cspan class=\"mathinline\"\u003e\\({E}_{\\text{M}}\\)\u003c/span\u003e\u003c/span\u003e, \u003cspan class=\"InlineEquation\"\u003e\u003cspan class=\"mathinline\"\u003e\\({E}_{\\text{S}\\text{i}}\\)\u003c/span\u003e\u003c/span\u003e \u003cspan class=\"InlineEquation\"\u003e\u003cspan class=\"mathinline\"\u003e\\({E}_{\\text{N}}\\)\u003c/span\u003e\u003c/span\u003e, \u003cspan class=\"InlineEquation\"\u003e\u003cspan class=\"mathinline\"\u003e\\({E}_{\\text{X}}\\)\u003c/span\u003e\u003c/span\u003e and \u003cspan class=\"InlineEquation\"\u003e\u003cspan class=\"mathinline\"\u003e\\({E}_{\\text{Y}}\\)\u003c/span\u003e\u003c/span\u003e are the energies of separate M, Si, N, X and Y atoms, respectively. As shown in Fig. S2, we found that the enthalpies of formation of 22 selected MSi\u003csub\u003e2\u003c/sub\u003eN\u003csub\u003e2\u003c/sub\u003eXY monolayers are within the range of -0.73 eV to -2.74 eV, demonstrating the energetics. Then, we explore their dynamical stability by calculating the phonon dispersion, for which the results are shown in Fig.\u0026nbsp;\u003cspan refid=\"Fig2\" class=\"InternalRef\"\u003e2\u003c/span\u003e and S3. Our calculations suggest that only four candidates, that is, MoSi\u003csub\u003e2\u003c/sub\u003eN\u003csub\u003e3\u003c/sub\u003eP, MoSi\u003csub\u003e2\u003c/sub\u003eN\u003csub\u003e3\u003c/sub\u003eAs, WSi\u003csub\u003e2\u003c/sub\u003eN\u003csub\u003e3\u003c/sub\u003eP and WSi\u003csub\u003e2\u003c/sub\u003eN\u003csub\u003e3\u003c/sub\u003eAs are dynamically stable, while the others 18 compounds are discarded since they exhibit imaginary frequencies. The AIMD simulations are conducted to further confirm the thermal stabilities of four selected structures (Fig.\u0026nbsp;\u003cspan refid=\"Fig2\" class=\"InternalRef\"\u003e2\u003c/span\u003e). After 5ps of heating at room temperature, the fluctuation range of energy and temperature is small, and no large structural deformation occurs, attesting high thermal stability. Additionally, four independent elastic constants \u003cspan class=\"InlineEquation\"\u003e\u003cspan class=\"mathinline\"\u003e\\({C}_{11}\\)\u003c/span\u003e\u003c/span\u003e, \u003cspan class=\"InlineEquation\"\u003e\u003cspan class=\"mathinline\"\u003e\\({C}_{22}\\)\u003c/span\u003e\u003c/span\u003e, \u003cspan class=\"InlineEquation\"\u003e\u003cspan class=\"mathinline\"\u003e\\({C}_{12}\\)\u003c/span\u003e\u003c/span\u003e and \u003cspan class=\"InlineEquation\"\u003e\u003cspan class=\"mathinline\"\u003e\\({C}_{66}\\)\u003c/span\u003e\u003c/span\u003e of MSi\u003csub\u003e2\u003c/sub\u003eN\u003csub\u003e2\u003c/sub\u003eXY monolayers are obtained, which fulfills the Born-Huang criteria\u003csup\u003e\u003cspan citationid=\"CR38\" class=\"CitationRef\"\u003e38\u003c/span\u003e\u003c/sup\u003e for mechanically stable 2D systems. (see the details in the Supporting Information and Table S2). Furthermore, Young\u0026rsquo;s modulus \u003cem\u003eY\u003c/em\u003e(\u003cem\u003eθ\u003c/em\u003e) and Poisson\u0026rsquo;s ratio \u003cem\u003eυ\u003c/em\u003e(\u003cem\u003eθ\u003c/em\u003e) demonstrate their isotropic mechanical behaviors (Fig. S4). Especially, the calculated \u003cem\u003eY\u003c/em\u003e(\u003cem\u003eθ\u003c/em\u003e) for MoSi\u003csub\u003e2\u003c/sub\u003eN\u003csub\u003e3\u003c/sub\u003eP and WSi\u003csub\u003e2\u003c/sub\u003eN\u003csub\u003e3\u003c/sub\u003eP reach to 312.8 N/m and 324.6, respectively, which is comparable to graphene (342.2 N/m)\u003csup\u003e\u003cspan citationid=\"CR39\" class=\"CitationRef\"\u003e39\u003c/span\u003e\u003c/sup\u003e and MoS\u003csub\u003e2\u003c/sub\u003e (330.0 N/m)\u003csup\u003e40\u003c/sup\u003e.\u003c/p\u003e \u003cp\u003e \u003c/p\u003e \u003cp\u003eOn the basis of the stability evaluation, four kinds of MSi\u003csub\u003e2\u003c/sub\u003eN\u003csub\u003e2\u003c/sub\u003eXY monolayers, namely, MoSi\u003csub\u003e2\u003c/sub\u003eN\u003csub\u003e3\u003c/sub\u003eP, MoSi\u003csub\u003e2\u003c/sub\u003eN\u003csub\u003e3\u003c/sub\u003eAs, WSi\u003csub\u003e2\u003c/sub\u003eN\u003csub\u003e3\u003c/sub\u003eP and WSi\u003csub\u003e2\u003c/sub\u003eN\u003csub\u003e3\u003c/sub\u003eAs, are screened out with excellent stabilities. Their band structures predicted by HSE06 functional are shown in the left column of Fig.\u0026nbsp;\u003cspan refid=\"Fig3\" class=\"InternalRef\"\u003e3\u003c/span\u003e. It can be seen that all the four candidates exhibit semiconducting characters with the band gaps of 0.96 eV, 0.46 eV, 0.79 eV and 0.45 eV for MoSi\u003csub\u003e2\u003c/sub\u003eN\u003csub\u003e3\u003c/sub\u003eP, MoSi\u003csub\u003e2\u003c/sub\u003eN\u003csub\u003e3\u003c/sub\u003eAs, WSi\u003csub\u003e2\u003c/sub\u003eN\u003csub\u003e3\u003c/sub\u003eP and WSi\u003csub\u003e2\u003c/sub\u003eN\u003csub\u003e3\u003c/sub\u003eAs, respectively. Intriguingly, MSi\u003csub\u003e2\u003c/sub\u003eN\u003csub\u003e3\u003c/sub\u003eY monolayers can transform from indirect to direct band gap semiconductors, when the Y component varies from P to As because the valence band maximum (VBM) moves from K to the Γ point. Consequently, the narrow band gaps of 2D MSi\u003csub\u003e2\u003c/sub\u003eN\u003csub\u003e3\u003c/sub\u003eY in the range of 0.45\u0026ndash;0.96 eV means that they can expand the light absorption into visible or even infrared regions, implying efficient utilization of solar energy.\u003c/p\u003e \u003cp\u003e \u003cb\u003ePhotocatalytic performance of MSi\u003c/b\u003e \u003csub\u003e \u003cb\u003e2\u003c/b\u003e \u003c/sub\u003e \u003cb\u003eN\u003c/b\u003e \u003csub\u003e \u003cb\u003e2\u003c/b\u003e \u003c/sub\u003e \u003cb\u003eY\u003c/b\u003e. As is well-known, a prerequisite for water splitting of semiconducting materials is that the band edges enclose the hydrogen reduction potential (-4.44 eV at pH\u0026thinsp;=\u0026thinsp;0) and water oxidation potential (-5.67 eV at pH\u0026thinsp;=\u0026thinsp;0)\u003csup\u003e41\u003c/sup\u003e. For conventional photocatalysts without intrinsic polarization, the reduction/oxidation potential is aligned with respect to the conduction/valence band edge according to the same vacuum level, and thus, the band gap required for water splitting should be larger than 1.23 eV. Owing to the broken out-of-plane symmetry, the intrinsic diploes are introduced into MSi\u003csub\u003e2\u003c/sub\u003eN\u003csub\u003e3\u003c/sub\u003eY monolayers (Table\u0026nbsp;1), which generates an internal electric field perpendicular to the layer. The presence of internal electric field results in a vacuum level difference between the two sides of MSi\u003csub\u003e2\u003c/sub\u003eN\u003csub\u003e3\u003c/sub\u003eY monolayers, which is characterized by the electrostatic potential curves in the middle column of Fig.\u0026nbsp;\u003cspan refid=\"Fig3\" class=\"InternalRef\"\u003e3\u003c/span\u003e. The internal electric field points from the bottom surface near Y component to the top surface, and the potential differences between the two surfaces are 2.12 eV, 2.55 eV, 2.00 eV and 2.46 eV for MoSi\u003csub\u003e2\u003c/sub\u003eN\u003csub\u003e3\u003c/sub\u003eP, MoSi\u003csub\u003e2\u003c/sub\u003eN\u003csub\u003e3\u003c/sub\u003eAs, WSi\u003csub\u003e2\u003c/sub\u003eN\u003csub\u003e3\u003c/sub\u003eP and WSi\u003csub\u003e2\u003c/sub\u003eN\u003csub\u003e3\u003c/sub\u003eAs, respectively. Driven by the internal electric field, the photogenerated electrons and holes aggregate on the bottom and top surfaces of MSi\u003csub\u003e2\u003c/sub\u003eN\u003csub\u003e3\u003c/sub\u003eY monolayers respectively, ensuring that the HER and OER occurs on the two respective regions. In this case, the water redox potentials of MSi\u003csub\u003e2\u003c/sub\u003eN\u003csub\u003e3\u003c/sub\u003eY monolayers are determined with respect to the vacuum energy levels of the bottom and top surfaces respectively, thus breaking the band gap limitation (1.23 eV) for overall water splitting.\u003c/p\u003e \u003cp\u003e \u003c/p\u003e \u003cp\u003eConsidering the different vacuum levels, the band edge positions of MSi\u003csub\u003e2\u003c/sub\u003eN\u003csub\u003e3\u003c/sub\u003eY monolayers are shown in the right column of Fig.\u0026nbsp;\u003cspan refid=\"Fig3\" class=\"InternalRef\"\u003e3\u003c/span\u003e. Obviously, the conduction band maximum (CBM) of all four candidates lies above the hydrogen reduction potential ( \u003cspan class=\"InlineEquation\"\u003e\u003cspan class=\"mathinline\"\u003e\\({E}_{{\\text{H}}^{+}/{\\text{H}}_{2}}^{\\text{r}\\text{e}\\text{d}}\\)\u003c/span\u003e\u003c/span\u003e) and the VBM lies below the water oxidation potential (\u003cspan class=\"InlineEquation\"\u003e\u003cspan class=\"mathinline\"\u003e\\({E}_{{\\text{O}}_{2}/{\\text{H}}_{2\\text{O}}}^{\\text{o}\\text{x}\\text{i}}\\)\u003c/span\u003e\u003c/span\u003e), fulling the band edge requirements for water splitting. Importantly, the energy difference between the \u003cspan class=\"InlineEquation\"\u003e\u003cspan class=\"mathinline\"\u003e\\({E}_{{\\text{H}}^{+}/{\\text{H}}_{2}}^{\\text{r}\\text{e}\\text{d}}\\)\u003c/span\u003e\u003c/span\u003e and the CBM (or VBM) represent the redox capacities of photogenerated electrons (or holes), which is denoted as \u003cem\u003eU\u003c/em\u003e\u003csub\u003ee\u003c/sub\u003e (\u003cem\u003eU\u003c/em\u003e\u003csub\u003eh\u003c/sub\u003e) (Fig.\u0026nbsp;\u003cspan refid=\"Fig3\" class=\"InternalRef\"\u003e3\u003c/span\u003e). The detailed \u003cem\u003eU\u003c/em\u003e\u003csub\u003ee\u003c/sub\u003e at the bottom surface and \u003cem\u003eU\u003c/em\u003e\u003csub\u003eh\u003c/sub\u003e at the top surface for MSi\u003csub\u003e2\u003c/sub\u003eN\u003csub\u003e3\u003c/sub\u003eY monolayers are listed in Table\u0026nbsp;1. It is found that all four structures satisfy the screening criterion: \u003cem\u003eU\u003c/em\u003e\u003csub\u003ee\u003c/sub\u003e \u0026gt; 0 eV and \u003cem\u003eU\u003c/em\u003e\u003csub\u003eh\u003c/sub\u003e \u0026gt; 1.23 eV, suggesting their sufficient redox capacities for both HER and OER. As a result, MSi\u003csub\u003e2\u003c/sub\u003eN\u003csub\u003e3\u003c/sub\u003eY monolayers are preliminarily identified as potential structures for overall water splitting.\u003c/p\u003e \u003cp\u003eIn general, the photogenerated electrons and holes distributed at different locations of one material benefits to reducing their recombination probability. To explore the spatial distribution of photogenerated carriers, we examined the partial charge densities at the CBM and VBM for both MSi\u003csub\u003e2\u003c/sub\u003eN\u003csub\u003e3\u003c/sub\u003eY and MSi\u003csub\u003e2\u003c/sub\u003eN\u003csub\u003e4\u003c/sub\u003e monolayers, which is shown in Fig. S5. For the MSi\u003csub\u003e2\u003c/sub\u003eN\u003csub\u003e4\u003c/sub\u003e monolayers, both the charge densities of the CBM and VBM are mainly distributed at the MN\u003csub\u003e2\u003c/sub\u003e layer, which is consistent with previous reports. In contrast, for the case of MSi\u003csub\u003e2\u003c/sub\u003eN\u003csub\u003e3\u003c/sub\u003eY monolayers, the charge density of the CBM is mostly localized at the Si-N layer while that of VBM is localized at the MXY layer, resulting in good separation between photogenerated electrons and holes. Such charge distribution can significantly decrease the possibility of recombination of photogenerated electrons and holes, and ensure the high efficiency of photocatalytic reactions.\u003c/p\u003e \u003cp\u003eAbove, we have confirmed that MSi\u003csub\u003e2\u003c/sub\u003eN\u003csub\u003e3\u003c/sub\u003eY monolayers possess suitable band edge positions with sufficient redox potentials. Therein, we further investigated the mechanism of the half-reaction of both water oxidation and hydrogen reduction by calculating their reaction free energies at a neutral condition (Computational details can be obtained in supplementary materials). For HER, there are only two reaction steps (reaction (1) and (2)). Therefore, the reaction barrier (\u0026#119864;\u003csub\u003e\u003cem\u003ebarrier\u003c/em\u003e\u003c/sub\u003e) could be obtained as follows:\u003cdiv id=\"Equ1\" class=\"Equation\"\u003e\u003cdiv format=\"TEX\" class=\"mathdisplay\" id=\"FileID_Equ1\" name=\"EquationSource\"\u003e\n$${E}_{barrier-HER}=\\left\\{\\begin{array}{c}\\text{max}\\left({\\varDelta G}_{1},{\\varDelta G}_{2}\\right) \\text{max}\\left({\\varDelta G}_{1},{\\varDelta G}_{2}\\right)\u0026gt;0\\\\ 0\\text{ max}\\left({\\varDelta G}_{1},{\\varDelta G}_{2}\\right)\u0026lt;0\\end{array}\\right.$$\u003c/div\u003e\u003cdiv class=\"EquationNumber\"\u003e1\u003c/div\u003e\u003c/div\u003e\u003c/p\u003e \u003cp\u003eWhile the OER follows four elementary steps (reaction (3), (4), (5) and (6)). The \u0026#119864;\u003csub\u003e\u003cem\u003ebarrier\u003c/em\u003e\u003c/sub\u003e of OER is determined by:\u003cdiv id=\"Equ2\" class=\"Equation\"\u003e\u003cdiv format=\"TEX\" class=\"mathdisplay\" id=\"FileID_Equ2\" name=\"EquationSource\"\u003e\n$${E}_{barrier-OER}=\\left\\{\\begin{array}{c}\\text{max}\\left({\\varDelta G}_{3},{\\varDelta G}_{4},{\\varDelta G}_{5},{\\varDelta G}_{6}\\right) \\text{max}\\left({\\varDelta G}_{3},{\\varDelta G}_{4},{\\varDelta G}_{5},{\\varDelta G}_{6}\\right)\u0026gt;0\\\\ 0\\text{ max}\\left({\\varDelta G}_{3},{\\varDelta G}_{4},{\\varDelta G}_{5},{\\varDelta G}_{6}\\right)\u0026lt;0\\end{array}\\right.$$\u003c/div\u003e\u003cdiv class=\"EquationNumber\"\u003e2\u003c/div\u003e\u003c/div\u003e\u003c/p\u003e \u003cp\u003eWhen the \u0026#119864;\u003csub\u003e\u003cem\u003ebarrier\u003c/em\u003e\u003c/sub\u003e for HER and OER equals to 0, which means that the redox reactions of overall water splitting can proceed spontaneously. The corresponding free-energy profiles for MSi\u003csub\u003e2\u003c/sub\u003eN\u003csub\u003e3\u003c/sub\u003eY monolayers are shown in Fig.\u0026nbsp;\u003cspan refid=\"Fig4\" class=\"InternalRef\"\u003e4\u003c/span\u003e. In the dark environment, the \u0026#119864;\u003csub\u003e\u003cem\u003ebarrier\u003c/em\u003e\u003c/sub\u003es of HER and OER for MoSi\u003csub\u003e2\u003c/sub\u003eN\u003csub\u003e3\u003c/sub\u003eP monolayer are calculated to be 0.55 eV and 0.56 eV, respectively, requiring additional energies for photocatalytic reactions. At light irradiation condition, \u003cem\u003eU\u003c/em\u003e\u003csub\u003ee\u003c/sub\u003e and \u003cem\u003eU\u003c/em\u003e\u003csub\u003eh\u003c/sub\u003e can act as the driving forces of photogenerated electrons and holes to decrease the \u0026#119864;\u003csub\u003e\u003cem\u003ebarrier\u003c/em\u003e\u003c/sub\u003es of HER and OER, respectively, thereby directly promoting the full water-splitting process. Accordingly, we find that the free energies for HER and OER decrease in each step with the external potential of \u003cem\u003eU\u003c/em\u003e\u003csub\u003ee\u003c/sub\u003e\u0026thinsp;=\u0026thinsp;0.96 V and \u003cem\u003eU\u003c/em\u003e\u003csub\u003eh\u003c/sub\u003e\u0026thinsp;=\u0026thinsp;2.12 V under illumination, implying that MoSi\u003csub\u003e2\u003c/sub\u003eN\u003csub\u003e3\u003c/sub\u003eP monolayer can catalyze water to produce hydrogen and oxygen spontaneously. Similar to the case of monolayer MoSi\u003csub\u003e2\u003c/sub\u003eN\u003csub\u003e3\u003c/sub\u003eP, the other three structures show the different values of \u0026#119864;\u003csub\u003e\u003cem\u003ebarrier\u003c/em\u003e\u003c/sub\u003e at the absence of any light irradiation, but they all can satisfy the screening criterion: \u0026#119864;\u003csub\u003e\u003cem\u003ebarrier\u0026minus;HER\u003c/em\u003e\u003c/sub\u003e = \u0026#119864;\u003csub\u003e\u003cem\u003ebarrier\u0026minus;OER\u003c/em\u003e\u003c/sub\u003e\u0026thinsp;=\u0026thinsp;0 eV under illumination.\u003c/p\u003e \u003cp\u003e \u003c/p\u003e \u003cp\u003e \u003cb\u003eSolar-to-hydrogen efficiency\u003c/b\u003e. Excellent optical response is of great significance to produce more photogenerated carriers under photon absorption. To evaluate the performance of MSi\u003csub\u003e2\u003c/sub\u003eN\u003csub\u003e3\u003c/sub\u003eY monolayers in harvesting sunlight, we calculated their optical absorption spectra by using the HSE06 functional. As shown in Fig. S6, compared with MSi\u003csub\u003e2\u003c/sub\u003eN\u003csub\u003e4\u003c/sub\u003e monolayer, a red-shift of the spectrum is observed for MSi\u003csub\u003e2\u003c/sub\u003eN\u003csub\u003e3\u003c/sub\u003eY monolayers, supporting its utilization of visible light. Moreover, we obtain the peak intensity of up to 2\u0026times;10\u003csup\u003e5\u003c/sup\u003e cm\u003csup\u003e\u0026minus;\u0026thinsp;1\u003c/sup\u003e for MoSi\u003csub\u003e2\u003c/sub\u003eN\u003csub\u003e3\u003c/sub\u003eAs monolayer, which is higher than that of previously reported 2D MSiGeN\u003csub\u003e4\u003c/sub\u003e\u003csup\u003e42\u003c/sup\u003e. Hence, the MSi\u003csub\u003e2\u003c/sub\u003eN\u003csub\u003e3\u003c/sub\u003eY monolayers can effectively harvest sunlight, improving the efficiency of light absorption as a photocatalyst for water splitting. As listed in Table S6, the light absorption efficiency of MSi\u003csub\u003e2\u003c/sub\u003eN\u003csub\u003e3\u003c/sub\u003eY monolayers exceed 90%. Meanwhile, the intrinsic electric field of MSi\u003csub\u003e2\u003c/sub\u003eN\u003csub\u003e3\u003c/sub\u003eY monolayers affects the carrier dynamics, enhancing the carrier utilization efficiency. The improvement of energy conversion efficiency is the ultimate target in the pursuit of solar energy utilization. Supposing that the efficiency of catalytic reaction is 100%, the corrected STH efficiencies of MoSi\u003csub\u003e2\u003c/sub\u003eN\u003csub\u003e3\u003c/sub\u003eP、MoSi\u003csub\u003e2\u003c/sub\u003eN\u003csub\u003e3\u003c/sub\u003eAs、WSi\u003csub\u003e2\u003c/sub\u003eN\u003csub\u003e3\u003c/sub\u003eP and WSi\u003csub\u003e2\u003c/sub\u003eN\u003csub\u003e3\u003c/sub\u003eAs monolayers are predicted to be 30.57%, 29.84%, 32.93% and 30.51%, respectively, which are larger than that of previously reported Janus WSSe (11.68%)\u003csup\u003e43\u003c/sup\u003e, P\u003csub\u003e4\u003c/sub\u003eO\u003csub\u003e2\u003c/sub\u003e (17.2%)\u003csup\u003e44\u003c/sup\u003e and AgBiP\u003csub\u003e2\u003c/sub\u003eSe\u003csub\u003e6\u003c/sub\u003e (10.04%)\u003csup\u003e45\u003c/sup\u003e. Note that these predicted values surpass the conventional theoretical limit of 18%\u003csup\u003e22\u003c/sup\u003e. It is thus conclusive that MSi\u003csub\u003e2\u003c/sub\u003eN\u003csub\u003e3\u003c/sub\u003eY monolayers can act as an effective candidate for photocatalytic water splitting with high stability and STH efficiency.\u003c/p\u003e"},{"header":"Discussion","content":"\u003cp\u003eTo summarize, we propose a general intercalated architecture approach to introduce spontaneous polarization electric field into single-layer systems, and further examine the feasibility of this scheme in a real material of MoSi\u003csub\u003e2\u003c/sub\u003eN\u003csub\u003e4\u003c/sub\u003e. With the help of a multilevel screening workflow, using first-principles calculations, four candidate materials of MSi\u003csub\u003e2\u003c/sub\u003eN\u003csub\u003e3\u003c/sub\u003eY are theoretically identified. It is found that the internal electric fields of MSi\u003csub\u003e2\u003c/sub\u003eN\u003csub\u003e3\u003c/sub\u003eY monolayers suppress the recombination of photogenerated carriers, improving the efficiency of carrier utilization. Besides, combination of the band alignment, spatial charge distribution and optical absorption intensities and as well as energy cost supports the great potential of MSi\u003csub\u003e2\u003c/sub\u003eN\u003csub\u003e3\u003c/sub\u003eY monolayers in overall water splitting. Especially, the high STH efficiencies of 29.84\u0026thinsp;\u0026minus;\u0026thinsp;32.93% enable these four materials to efficiently utilize the solar light for photocatalytic hydrogen production. This work not only demonstrates the importance of intrinsic polarization for boosting photocatalysis, but also provides valuable guidance for further design of 2D polar photocatalysts.\u003c/p\u003e"},{"header":"Declarations","content":"\u003cp\u003e\u003cstrong\u003eData availability\u003c/strong\u003e\u003c/p\u003e\n\u003cp\u003eThe data supporting the findings of this study are available within the article and its Supplementary Information.\u003c/p\u003e\n\u003cp\u003e\u003cstrong\u003eAcknowledgements\u003c/strong\u003e\u003c/p\u003e\n\u003cp\u003eThis work was supported by National Basic Research Program of China (Grant\u0026nbsp;No.\u0026nbsp;2019YFA0307701) and the National Natural Science Foundation of China (No.11874180)\u003cstrong\u003e,\u0026nbsp;\u003c/strong\u003eYoung and Middle-aged Scientific and Technological Innovation leaders and Team Projects in Jilin Province (20200301020RQ).\u003c/p\u003e"},{"header":"References","content":"\u003col\u003e\n \u003cli\u003eMoniz, S. J. A., Shevlin, S. A., Martin, D. J., Guo, Z. X. \u0026amp; Tang J. Visible-light driven heterojunction photocatalysts for water splitting \u0026ndash; a critical review. Energ. Environ. Sci. 8, 731-759 (2015).\u003c/li\u003e\n \u003cli\u003eCheng, L., Li, X., Zhang, H. \u0026amp; Xiang, Q. Two-Dimensional Transition Metal MXene-Based Photocatalysts for Solar Fuel Generation. J. Phys. Chem. Lett. 10, 3488-3494 (2019).\u003c/li\u003e\n \u003cli\u003eWang, H. et al. Molecular Design of Two-Dimensional Covalent Heptazine Frameworks for Photocatalytic Overall Water Splitting under Visible Light. J. Phys. Chem. Lett. 13, 3949-3956 (2022).\u003c/li\u003e\n \u003cli\u003eFujishima, A., \u0026amp; Honda, K. Electrochemical Photolysis of Water at a Semiconductor Electrode. Nature 238, 37-38 (1972).\u003c/li\u003e\n \u003cli\u003eJiang, S. et al. InTeI: a novel wide-bandgap 2D material with desirable stability and highly anisotropic carrier mobility. Nanoscale 12, 5888-5897 (2020).\u003c/li\u003e\n \u003cli\u003eFan, Y., et al. Highly-efficient overall water splitting in 2D Janus group-III chalcogenide multilayers: the roles of intrinsic electric filed and vacancy defects. Sci. Bull. 65, 27-34 (2020).\u003c/li\u003e\n \u003cli\u003eLiu, Y. L., Shi, Y., Yin, H., \u0026amp; Yang, C. L. Two-dimensional BP/\u0026beta;-AsP van der Waals heterostructures as promising photocatalyst for water splitting. Appl. Phys. Lett. 117, 063901 (2020).\u003c/li\u003e\n \u003cli\u003eHe, C., Zhang, J. H., Zhang, W. X. \u0026amp; Li, T. T. Type-II InSe/g-C\u003csub\u003e3\u003c/sub\u003eN\u003csub\u003e4\u003c/sub\u003e Heterostructure as a High-Efficiency Oxygen Evolution Reaction Catalyst for Photoelectrochemical Water Splitting. J. Phys. Chem. Lett. 10, 3122-3128 (2019).\u003c/li\u003e\n \u003cli\u003eGao, Y., Fu, C., Hu, W. \u0026amp; Yang, J. Designing Direct Z-Scheme Heterojunctions Enabled by Edge-Modified Phosphorene Nanoribbons for Photocatalytic Overall Water Splitting. J. Phys. Chem. Lett. 13, 1-11 (2022).\u003c/li\u003e\n \u003cli\u003eYu, T., Wang, C., Yan, X. \u0026amp; Yang, G., Schwingenschl\u0026ouml;gl U. Anisotropic Janus SiP\u003csub\u003e2\u003c/sub\u003e Monolayer as a Photocatalyst for Water Splitting. J. Phys. Chem. Lett. 12, 2464-2470 (2021).\u003c/li\u003e\n \u003cli\u003eLiu, H. Y., Yang, C. L., Wang, M. S. \u0026amp; Ma, X. G. Two-dimensional BiP\u003csub\u003e3\u003c/sub\u003e with high carrier mobility and moderate band gap for hydrogen generation from water splitting. Appl. Surf. Sci. 501, 144263 (2020).\u003c/li\u003e\n \u003cli\u003eLang, J. \u0026amp; Hu, Y. H. Phosphorus-based metal-free Z-scheme 2D van der Waals heterostructures for visible-light photocatalytic water splitting: a first-principles study. Phys. Chem. Chem. Phys. 22, 9250-9256 (2020).\u003c/li\u003e\n \u003cli\u003eLiu, J., et al. GeN\u003csub\u003e3\u003c/sub\u003e monolayer: A promising 2D high-efficiency photo- hydrolytic catalyst with High carrier mobility transport anisotropy. Appl. Catat. B \u0026amp; Environ. 279, 119368 (2020).\u003c/li\u003e\n \u003cli\u003eLi, J., et al. Enhanced Photocatalytic Performance through Magnetic Field Boosting Carrier Transport. ACS Nano 12, 3351-3359 (2018).\u003c/li\u003e\n \u003cli\u003eWang, Q. et al. Scalable water splitting on particulate photocatalyst sheets with a solar-to-hydrogen energy conversion efficiency exceeding 1%. Nat. Mater. 15, 611-615 (2016).\u003c/li\u003e\n \u003cli\u003eLiu, Y. L. et al. First principles study of photoelectrochemical water splitting in monolayer Sn\u003csub\u003e2\u003c/sub\u003eS\u003csub\u003e2\u003c/sub\u003eP\u003csub\u003e4\u003c/sub\u003e with high solar-to-hydrogen efficiency. Appl. Phys. Lett. 119, 143102 (2021).\u003c/li\u003e\n \u003cli\u003eChen, F., Huang, H., Guo, L., Zhang, Y. \u0026amp; Ma, T. The Role of Polarization in Photocatalysis. Angew. Chem. Int. Edit. 58, 10061-10073 (2019).\u003c/li\u003e\n \u003cli\u003eDai, B., et al. Sustainable Internal Electric Field for Enhanced Photocatalysis: From Material Design to Energy Utilization. J. Phys. Chem. Lett. 11, 7407-7416 (2020).\u003c/li\u003e\n \u003cli\u003eFan, Y., Song, X., Qi, S., Ma, X. \u0026amp; Zhao, M. Li-III-VI bilayers for efficient photocatalytic overall water splitting: the role of intrinsic electric field. J. Mater. Chem. A 7, 26123-26130 (2019).\u003c/li\u003e\n \u003cli\u003eZhao, P., Ma, Y., Lv, X., Li, M., Huang, B. \u0026amp; Dai, Y. Two-dimensional III2-VI3 materials: Promising photocatalysts for overall water splitting under infrared light spectrum. Nano Energy 51, 533-538 (2018).\u003c/li\u003e\n \u003cli\u003eLi, X. \u0026amp; Li, Z. Yang J. Proposed Photosynthesis Method for Producing Hydrogen from Dissociated Water Molecules Using Incident Near-Infrared Light. Phys. Rev. Lett. 112, 018301 (2014).\u003c/li\u003e\n \u003cli\u003eFu, C. F. et al. Intrinsic Electric Fields in Two-dimensional Materials Boost the Solar-to-Hydrogen Efficiency for Photocatalytic Water Splitting. Nano Lett. 18, 6312-6317 (2018).\u003c/li\u003e\n \u003cli\u003eSun, R., Yang, C. L., Wang, M. S. \u0026amp; Ma, X. G. High solar-to-hydrogen efficiency photocatalytic hydrogen evolution reaction with the HfSe\u003csub\u003e2\u003c/sub\u003e/InSe heterostructure. J. Power Sources 547, 232008 (2022).\u003c/li\u003e\n \u003cli\u003eLuo, Y., Sun, M. \u0026amp; Yu, J. Schwingenschl\u0026ouml;gl U. Pd\u003csub\u003e4\u003c/sub\u003eS\u003csub\u003e3\u003c/sub\u003eSe\u003csub\u003e3\u003c/sub\u003e, Pd\u003csub\u003e4\u003c/sub\u003eS\u003csub\u003e3\u003c/sub\u003eTe\u003csub\u003e3\u003c/sub\u003e, and Pd\u003csub\u003e4\u003c/sub\u003eSe\u003csub\u003e3\u003c/sub\u003eTe\u003csub\u003e3\u003c/sub\u003e: Candidate Two-Dimensional Janus Materials for Photocatalytic Water Splitting. Chem. Mater. 33, 4128-4134 (2021).\u003c/li\u003e\n \u003cli\u003eJiang, X., et al. Design of a noble-metal-free direct Z-scheme photocatalyst for overall water splitting based on a SnC/SnSSe van der Waals heterostructure. Phys. Chem. Chem. Phys. 23, 21641-21651 (2021).\u003c/li\u003e\n \u003cli\u003eMa, H. et al. Enhancing the Photoinduced Interlayer Charge Transfer and Spatial Separation in Type-II Heterostructure of WS\u003csub\u003e2\u003c/sub\u003e and Asymmetric Janus-MoSSe with Intrinsic Self-Build Electric Field. J. Phys. Chem. Lett. 13, 8484-8494 (2022).\u003c/li\u003e\n \u003cli\u003eYin, Q. K., Yang, C. L., Wang, M. S. \u0026amp; Ma, X. G. Two-dimensional heterostructures of AuSe/SnS for the photocatalytic hydrogen evolution reaction with a Z-scheme. J. Mater. Chem. C 9, 12231-12238 (2021).\u003c/li\u003e\n \u003cli\u003eWang, X. et al. Interfacial chemical bond and internal electric field modulated Z-scheme Sv-ZnIn\u003csub\u003e2\u003c/sub\u003eS\u003csub\u003e4\u003c/sub\u003e/MoSe\u003csub\u003e2\u003c/sub\u003e photocatalyst for efficient hydrogen evolution. Nat. Commun. 12, 4112 (2021).\u003c/li\u003e\n \u003cli\u003eWang, Y. et al. Direct and indirect Z-scheme heterostructure-coupled photosystem enabling cooperation of CO\u003csub\u003e2\u003c/sub\u003e reduction and H\u003csub\u003e2\u003c/sub\u003eO oxidation. Nat. Commun. 11, 3043 (2020).\u003c/li\u003e\n \u003cli\u003eJin, H., Dai, Y. \u0026amp; Huang, B. B. Design of Advanced Photocatalysis System by Adatom Decoration in 2D Nanosheets of Group-IV and III\u0026ndash;V Binary Compounds. Sci. Rep. 6, 23104 (2016).\u003c/li\u003e\n \u003cli\u003eBai, S., Zhang, N., Gao, C. \u0026amp; Xiong, Y. Defect engineering in photocatalytic materials. Nano Energy 53, 296-336 (2018).\u003c/li\u003e\n \u003cli\u003eKresse, G. \u0026amp; Furthm\u0026uuml;ller, J. Efficient iterative schemes for ab initio total-energy calculations using a plane-wave basis set. Phys. Rev. B 54, 11169-11186 (1996).\u003c/li\u003e\n \u003cli\u003eKresse, G. \u0026amp; Furthm\u0026uuml;ller, J. Efficiency of ab-initio total energy calculations for metals and semiconductors using a plane-wave basis set. Comp. Mater. Sci. 6, 15-50 (1996).\u003c/li\u003e\n \u003cli\u003ePerdew, J. P., Burke, K. \u0026amp; Ernzerhof, M. Generalized Gradient Approximation Made Simple. Phys. Rev. Lett. 77, 3865-3868 (1996).\u003c/li\u003e\n \u003cli\u003eHeyd, J., Scuseria, G. E. \u0026amp; Ernzerhof, M. Hybrid functionals based on a screened Coulomb potential. J. Chem. Phys. 118, 8207-8215 (2003).\u003c/li\u003e\n \u003cli\u003eGrimme, S., Antony, J., Ehrlich, S. \u0026amp; Krieg, H. A consistent and accurate ab initio parametrization of density functional dispersion correction (DFT-D) for the 94 elements H-Pu. J. Chem. Phys. 132, 154104 (2010).\u003c/li\u003e\n \u003cli\u003eTogo, A. \u0026amp; Tanaka, I. First principles phonon calculations in materials science. Scripta Mater. 108, 1-5 (2015).\u003c/li\u003e\n \u003cli\u003eAndrew, R. C., Mapasha, R. E., Ukpong, A. M. \u0026amp; Chetty, N. Mechanical properties of graphene and boronitrene. Phys. Rev. B 85, 125428 (2012).\u003c/li\u003e\n \u003cli\u003eLee, C., Wei, X., Kysar, J. W. \u0026amp; Hone, J. Measurement of the Elastic Properties and Intrinsic Strength of Monolayer Graphene. Science 321, 385 (2008).\u003c/li\u003e\n \u003cli\u003eCastellanos-Gomez, A., Poot, M. \u0026amp; Steele, G. A. van der Zant HSJ, Agra\u0026iuml;t N, Rubio-Bollinger G. Elastic Properties of Freely Suspended MoS\u003csub\u003e2\u003c/sub\u003e Nanosheets. Adv. Mater. 24, 772-775 (2012).\u003c/li\u003e\n \u003cli\u003eLv, X.et al. Two-dimensional germanium monochalcogenides for photocatalytic water splitting with high carrier mobility. Applied Catalysis B: Environmental 217, 275-284 (2017).\u003c/li\u003e\n \u003cli\u003eYu, Y., Zhou, J., Guo, Z. \u0026amp; Sun, Z. Novel Two-Dimensional Janus MoSiGeN\u003csub\u003e4\u003c/sub\u003e and WSiGeN\u003csub\u003e4\u003c/sub\u003e as Highly Efficient Photocatalysts for Spontaneous Overall Water Splitting. ACS Appl. Mater. Inter. 13, 28090-28097 (2021).\u003c/li\u003e\n \u003cli\u003eJu, L., Bie, M., Tang, X., Shang, J. \u0026amp; Kou, L. Janus WSSe Monolayer: An Excellent Photocatalyst for Overall Water Splitting. ACS Appl. Mater. Inter. 12, 29335-29343 (2020).\u003c/li\u003e\n \u003cli\u003eLu, B., Zheng, X. \u0026amp; Li, Z. Few-Layer P4O\u003csub\u003e2\u003c/sub\u003e: A Promising Photocatalyst for Water Splitting. ACS Appl. Mater. Inter. 11, 10163-10170 (2019).\u003c/li\u003e\n \u003cli\u003eJu, L., Shang, J., Tang, X. \u0026amp; Kou, L. Tunable Photocatalytic Water Splitting by the Ferroelectric Switch in a 2D AgBiP\u003csub\u003e2\u003c/sub\u003eSe\u003csub\u003e6\u003c/sub\u003e Monolayer. J. Am. Chem. Soc. 142, 1492-1500 (2020).\u003c/li\u003e\n\u003c/ol\u003e"},{"header":"Table","content":"\u003cp\u003eTable 1 is not available with this version\u003c/p\u003e"}],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":true,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":true,"hideJournal":true,"highlight":"","institution":"","isAcceptedByJournal":false,"isAuthorSuppliedPdf":false,"isDeskRejected":"","isHiddenFromSearch":false,"isInQc":false,"isInWorkflow":false,"isPdf":false,"isPdfUpToDate":true,"isWithdrawnOrRetracted":false,"journal":{"display":true,"email":"
[email protected]","identity":"researchsquare","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":true,"externalIdentity":"","sideBox":"","snPcode":"","submissionUrl":"/submission","title":"Research Square","twitterHandle":"researchsquare","acdcEnabled":true,"dfaEnabled":false,"editorialSystem":"","reportingPortfolio":"","inReviewEnabled":false,"inReviewRevisionsEnabled":true},"keywords":"","lastPublishedDoi":"10.21203/rs.3.rs-2232446/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-2232446/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003eTwo-dimensional materials with intrinsic internal electric field possess promising potential to improve the photocatalytic water-splitting performance. However, the construction of the internal electric field is still a great challenge, which requires that the material itself should exhibit spontaneous symmetry breaking with intrinsic polarization. Herein, we propose using a general intercalation approach to introduce spontaneous polarization electric field into single-layer lattice by constructing the spatially asymmetric configurations. Taking septuple-atomic-layer MoSi\u003csub\u003e2\u003c/sub\u003eN\u003csub\u003e4\u003c/sub\u003e as a model material, following the above design principle, four promising MSi\u003csub\u003e2\u003c/sub\u003eN\u003csub\u003e3\u003c/sub\u003eY (M= Mo, W; Y=P, As) monolayers are theoretically identified, exhibiting excellent stabilities, suitabilities and low reaction barriers for overall water splitting. Importantly, the intrinsic internal electric field of MoSi\u003csub\u003e2\u003c/sub\u003eN\u003csub\u003e3\u003c/sub\u003eY promotes the charge-carrier separation and improves the light absorption capacity simultaneously, thus enabling the high solar-to-hydrogen efficiency of 29.84%−32.93%. This study opens up an avenue to rationally engineer the internal electric field and contributes to enhance the photocatalytic efficiency.\u003c/p\u003e","manuscriptTitle":"Internal Electric Fields in Asymmetric Single-layer Lattices for Enhancing Photocatalytic Solar-to-Hydrogen Efficiency","msid":"","msnumber":"","nonDraftVersions":[{"code":1,"date":"2022-11-09 18:21:34","doi":"10.21203/rs.3.rs-2232446/v1","editorialEvents":[{"type":"communityComments","content":0}],"status":"published","journal":{"display":true,"email":"
[email protected]","identity":"researchsquare","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":true,"externalIdentity":"","sideBox":"","snPcode":"","submissionUrl":"/submission","title":"Research Square","twitterHandle":"researchsquare","acdcEnabled":true,"dfaEnabled":false,"editorialSystem":"","reportingPortfolio":"","inReviewEnabled":false,"inReviewRevisionsEnabled":true}}],"origin":"","ownerIdentity":"638f03a0-5812-46d6-be30-14cccb098514","owner":[],"postedDate":"November 9th, 2022","published":true,"recentEditorialEvents":[],"rejectedJournal":[],"revision":"","amendment":"","status":"posted","subjectAreas":[{"id":16823063,"name":"Physical sciences/Materials science/Materials for energy and catalysis/Photocatalysis"},{"id":16823064,"name":"Physical sciences/Materials science/Nanoscale materials/Two-dimensional materials"}],"tags":[],"updatedAt":"2022-12-21T20:01:11+00:00","versionOfRecord":[],"versionCreatedAt":"2022-11-09 18:21:34","video":"","vorDoi":"","vorDoiUrl":"","workflowStages":[]},"version":"v1","identity":"rs-2232446","journalConfig":"researchsquare"},"__N_SSP":true},"page":"/article/[identity]/[[...version]]","query":{"redirect":"/article/rs-2232446","identity":"rs-2232446","version":["v1"]},"buildId":"J0_U0BvcaRcwD8yVFaRlm","isFallback":false,"isExperimentalCompile":false,"dynamicIds":[84888],"gssp":true,"scriptLoader":[]}
Text is read by the "Ask this paper" AI Q&A widget below.
Extraction quality varies by source — PMC NXML preserves structure
cleanly, OA-HTML may include some navigation residue, and OA-PDF can
have broken hyphenation. The publisher copy
(via DOI)
is the canonical version.