A first-principles study on the structural and electronic properties of ZnO clusters
DOI:
https://doi.org/10.56764/hpu2.jos.2026.5.02.84-93Abstract
This work presents a first-principles study of the structural, energetic, and electronic properties of (ZnO)n clusters with n =1 ÷ 10. Various low-energy isomers were constructed and fully optimized using density functional theory within the DMol3 framework with the GGA–PBE functional. The most stable geometries were identified based on total energy calculations. The results reveal a clear size-dependent structural evolution: small clusters (n ≤ 7) favor planar or ring-like geometries, while larger clusters (n ≥ 8) adopt compact three-dimensional configurations with higher symmetry. The calculated average binding energy increases with cluster size, indicating enhanced stability and a tendency for cluster growth. Electronic structure analysis shows that the valence band is mainly contributed by O-2p states, whereas the conduction band is primarily derived from Zn orbitals, confirming the semiconducting nature of the clusters. Charge density difference analysis indicates electron transfer from Zn to O atoms, suggesting strong Zn–O bonding with significant covalent character in these clusters.
References
[1] J. Anderson and G. V. d. W. Chris, “Fundamentals of zinc oxide as a semiconductor, ” Reports on Progress in Physics, vol. 72, no. 12, p. 126501, Oct. 2009, doi: 10.1088/0034-4885/72/12/126501.
[2] K. Harun, N. Mansor, Z. A. Ahmad, and A. A. Mohamad, “Electronic Properties of ZnO Nanoparticles Synthesized by Sol-gel Method: A LDA+U Calculation and Experimental Study,” Procedia Chemistry, vol. 19, pp. 125–132, 2016, doi: 10.1016/j.proche.2016.03.125.
[3] O. Charles et al., “Fabrication of high performance field-effect transistors and practical Schottky contacts using hydrothermal ZnO nanowires,” Nanotechnology, vol. 26, no. 35, p. 355704, Aug. 2015, doi: 10.1088/0957-4484/26/35/355704.
[4] C. Klingshirn, “ZnO: Material, Physics and Applications,” Chem. Phys. Chem, vol. 8, no. 6, pp. 782–803, Apr. 2007, doi: 10.1002/cphc.200700002.
[5] J. Dai, Z. Li, Y. Zhang, Y. Chen, X. Zhu, and J. Chen, “Investigation of the luminescence properties of ZnO clusters induced by single-photon and two-photon excitation,” Laser Physics Letters, vol. 18, no. 10, p. 106003, Sep. 2021, doi: 10.1088/1612-202X/ac22b5.
[6] F. Yang, Y. Song, A. Hui, B. Mu, and A. Wang, “Phyto-Mediated Controllable Synthesis of ZnO Clusters with Bactericidal Activity,” ACS Applied Bio Materials, vol. 6, no. 1, pp. 277–287, Dec. 2023, doi: 10.1021/acsabm.2c00886.
[7] B. K. Rao, “Site specific interactions of amino acids with (ZnO)12 cluster: Density functional approach,” Journal of Biomolecular Structure and Dynamics, vol. 40, no. 23, pp. 13325–13333, Oct. 2021, doi: 10.1080/07391102.2021.1987327.
[8] S. Bhatia and N. Verma, “Photocatalytic activity of ZnO nanoparticles with optimization of defects,” Materials Research Bulletin, vol. 95, pp. 468–476, Nov. 2017, doi: 10.1016/j.materresbull.2017.08.019.
[9] J. R. Torres-Hernández et al., “Structural, optical and photocatalytic properties of ZnO nanoparticles modified with Cu,” Materials Science in Semiconductor Processing, vol. 37, pp. 87–92, 2015/09/01/ 2015, doi: 10.101/j.mssp.2015.02.009.
[10] K.-s. Yu, J.-y. Shi, Z.-l. Zhang, Y.-m. Liang, and W. Liu, “Synthesis, Characterization, and Photocatalysis of ZnO and Er-Doped ZnO,” Journal of Nanomaterials, vol. 2013, p. 5, 2013, Art. no. 372951, doi: 10.1155/2013/372951.
[11] M. Ahmad et al., “Preparation of highly efficient Al-doped ZnO photocatalyst by combustion synthesis,” Current Applied Physics, vol. 13, no. 4, pp. 697–704, Jun. 2013, doi: 10.1016/j.cap.2012.11.008.
[12] A. Jiamprasertboon et al., “Photocatalytic and electrically conductive transparent Cl-doped ZnO thin films via aerosol-assisted chemical vapour deposition,” Journal of Materials Chemistry A, 10.1039/C8TA01420E vol. 6, no. 26, pp. 12682–12692, Jan. 2018, doi: 10.1039/C8TA01420E.
[13] Y. Wu, B. Dong, J. Zhang, H. Song, and C. Yan, “The synthesis of ZnO/SrTiO3 composite for high-efficiency photocatalytic hydrogen and electricity conversion,” International Journal of Hydrogen Energy, vol. 43, no. 28, pp. 12627–12636, Jun. 2018, doi: 10.1016/j.ijhydene.2018.03.206.
[14] K. Byrappa et al., “Hydrothermal preparation of ZnO:CNT and TiO2:CNT composites and their photocatalytic applications,” Journal of Materials Science, journal article vol. 43, no. 7, pp. 2348–2355, Feb. 2008, doi: 10.1007/s10853-007-1989-8.
[15] C. Li, W. Guo, Y. Kong, and H. Gao, “First-principles study on ZnO nanoclusters with hexagonal prism structures,” Applied Physics Letters, vol. 90, no. 22, p. 223102, May. 2007, doi: 10.1063/1.2743934.
[16] X. Cheng, F. Li, and Y. Zhao, “A DFT investigation on ZnO clusters and nanostructures, ” Journal of Molecular Structure: THEOCHEM, vol. 894, no. 1, pp. 121–127, Jan. 2009, doi: 10.1016/j.theochem.2008.10.023.
[17] I. A. Sarsari, S. J. Hashemifar, and S. Hadi, “First-principles study of ring to cage structural crossover in small ZnO Clusters,” Journal of Physics: Condensed Matter, vol. 24, no. 50, p. 505502, Nov. 2012, doi: 10.1088/0953-8984/24/50/505502.
[18] R. Rasoulkhani, H. Tahmasbi, S. A. Ghasemi, S. Faraji, S. Rostami, and M. Amsler, “Energy landscape of ZnO clusters and low-density polymorphs,” Physical Review B, vol. 96, no. 6, p. 064108, Aug. 2017, doi: 10.1103/PhysRevB.96.064108.
[19] I.-P. Zaragoza, L.-A. Soriano-Agueda, R. Hernández-Esparza, R. Vargas, and J. Garza, “Analyzing ZnO clusters through the density-functional theory,” Journal of Molecular Modeling, vol. 24, no. 7, p. 164, Jun. 2018, doi: 10.1007/s00894-018-3691-y.
[20] H. Zhao, X. Chen, R. Dong, and W. Lu, “The Stability and Optical Gap of Zinc Oxide Clusters (ZnO)n (n = 2–18),” Journal of Nanoscience and Nanotechnology, vol. 12, no. 1, pp. 138–142, Jan. 2012, doi: 10.1166/jnn.2012.5129.
[21] B. J. Nagare, S. Chavan, and V. Bambole, “Study of electronic and optical properties of ZnO clusters using TDDFT method,” Materials Research Express, vol. 4, no. 10, p. 106304, Oct. 2017, doi: 10.1088/2053-1591/aa91e1.
[22] B. Delley, “An all‐electron numerical method for solving the local density functional for polyatomic molecules,” The Journal of Chemical Physics, vol. 92, no. 1, pp. 508–517, 1990/01/01 1990, doi: 10.1088/2053-1591/aa91e1.
[23] J. P. Perdew, K. Burke, and M. Ernzerhof, “Generalized Gradient Approximation Made Simple,” Phys. Rev. Lett., vol. 77, no. 18, Oct. 1996, doi: 10.1103/PhysRevLett.77.3865.
[24] D. R. Hamann, M. Schlüter, and C. Chiang, “Norm-Conserving Pseudopotentials,” Phys. Rev. Lett, vol. 43, no. 20, pp. 1494–1497, Nov. 1979, doi: 10.1103/PhysRevLett.43.1494.
[25] H. J. Monkhorst and J. D. Pack, “Special points for Brillouin-zone integrations,” Phys. Rev. B, vol. 13, no. 12, Jun. 1976, doi: 10.1103/PhysRevB.13.5188.
[26] W. Zhang, Y. Han, S. Yao, and H. Sun, “Stability analysis and structural rules of titanium dioxide clusters (TiO2)n with n=1–9,” Materials Chemistry and Physics, vol. 130, no. 1–2, pp. 196–202, Jul. 2011, doi: 10.1016/j.matchemphys.2011.06.027.
Downloads
Published
How to Cite
Volume and Issue
Section
Copyright and License
Copyright (c) 2026 Minh-Thu Le, Quoc-Van Duong

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.





