Abstract
Clusters are physical entities composed of a few to thousands of atoms with capabilities to develop novel materials, like cluster-assembled materials. In this sense, knowing the electronic structure and physicochemical properties of the isolated clusters can be useful to understand how they interact with other chemical species by intermolecular forces, as free, embedded, and saturated clusters, and by intramolecular forces, acting as support clusters. In this way, in the present work, the electronic structure and physicochemical properties of metal oxide nanoclusters (MgO, Al2O3, SiO2, and TiO2) were studied by highly correlated molecular quantum chemistry methods. Through the electronic state’s characterization, a semiconductor aspect was found for the titania oxide nanocluster (Te < 0.8 eV) while the other agglomerates showed a characteristic of insulating material (Te > 3.3 eV). From the stability index, the following stability order can be characterized: (SiO2)4 > (Al2O3)4 > (MgO)4 > (TiO2)3. Initial information of intermolecular and intramolecular forces caused by the studied clusters was calculated through the relative electrophilicity index, which classified the (MgO)4 and (TiO2)3 clusters as the more reactive ones, in which the (MgO)4 cluster was identified as a nucleophilic species, while the (TiO2)3 cluster as an electrophilic molecule.
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The datasets generated during the current study are available in the Supplementary Information.
References
Jena P, Castleman AW (2006) Clusters: a bridge across the disciplines of physics and chemistry. Proc Natl Acad Sci U S A 103(28):10560–10569. https://doi.org/10.1073/pnas.0601782103
Castleman AW Jr, Khanna SN (2009) Superatoms: building blocks of new materials. J Phys Chem C 113(7):2664–2675. https://doi.org/10.1016/S1571-0785(07)12010-1
Jena P, Sun Q (2018) Super atomic clusters: design rules and potential for building blocks of materials. Chem Rev 118(11):5755–5870. https://doi.org/10.1021/acs.chemrev.7b00524
Claridge SA, Castleman AW, Khanna SN, Murray CB, Sen A, Weiss PS (2009) Cluster-assembled materials. ACS Nano 3(2):244–255. https://doi.org/10.1021/nn800820e
Qian M, Reber AC, Ugrinov A, Chaki NK, Mandal S, Saavedra HM, Khanna SN, Sen A, Weiss PS (2010) Cluster-assembled materials: toward nanomaterials with precise control over properties. ACS Nano 4(1):235–240
Perez A, Melinon P, Dupuis V, Jensen P, Prevel B, Tuaillon J, Bardotti L, Martet C, Treilleux M, Broyer M, Pellarin M, Vaille JL, Palpant B, Lerme J (1997) Cluster assembled materials: a novel class of nanostructured solids with original structures and properties. J Phys D Appl Phys 30(5):709–721. https://doi.org/10.1088/0022-3727/30/5/003
Liu Q, Wang X (2021) Cluster-assembled materials: ordered structures with advanced properties. InfoMat 3(8):854–868. https://doi.org/10.1002/inf2.12213
Kim KS, Tarakeshwar P, Lee HM (2005) Clusters to functional molecules, nanomaterials, and molecular devices: theoretical exploration. In: Theory Appl Comput Chem. Elsevier, Amsterdam, pp 963–993. https://doi.org/10.1016/B978-044451719-7/50077-9
Jug K, Bredow T (2004) Models for the treatment of crystalline solids and surfaces. J Comput Chem 25(13):1551–1567. https://doi.org/10.1002/jcc.20080
Evarestov RA, Bredow T, Jug K (2001) Connection between slab and cluster models for crystalline surfaces. Phys Solid State 43(9):1774–1782. https://doi.org/10.1134/1.1402239
Deák P (2000) Choosing models for solids. Phys status solidi 217(1):9–21. https://doi.org/10.1002/(SICI)1521-3951(200001)217:1%3c9::AID-PSSB9%3e3.0.CO;2-6
Johnson GE, Mitrić R, Bonačić-Koutecký V, Castleman AW (2009) Clusters as model systems for investigating nanoscale oxidation catalysis. Chem Phys Lett 475(1–3):1–9. https://doi.org/10.1016/j.cplett.2009.04.003
Wojciechowski KF (1966) Theory of chemisorption on metal surfaces. Proc Phys Soc 87(2):583–585. https://doi.org/10.1088/0370-1328/87/2/129
Czekaj I, Wambach J, Kröcher O (2009) Modelling catalyst surfaces using DFT cluster calculations. Int J Mol Sci 10(10):4310–4329. https://doi.org/10.3390/ijms10104310
Liu L, Corma A (2018) Metal catalysts for heterogeneous catalysis: from single atoms to nanoclusters and nanoparticles. Chem Rev 118:4981–5079. https://doi.org/10.1021/acs.chemrev.7b00776
Li Z, Ji S, Liu Y, Cao X, Tian S, Chen Y, Niu Z, Li Y (2020) Well-defined materials for heterogeneous catalysis: from nanoparticles to isolated single-atom sites. Chem Rev 120(2):623–682. https://doi.org/10.1021/acs.chemrev.9b00311
Gao C, Low J, Long R, Kong T, Zhu J, Xiong, Y (2020) Heterogeneous single-atom photocatalysts: fundamentals and applications. Chem Rev 120(21):1275–12216. https://doi.org/10.1021/acs.chemrev.9b00840
Vajda S, White MG (2015) Catalysis applications of size-selected cluster deposition. ACS Catal 5(12):7152–7176. https://doi.org/10.1021/acscatal.5b01816
Gross E, Somorjai GA (2013) The impact of electronic charge on catalytic reactivity and selectivity of metal-oxide supported metallic nanoparticles. Top Catal 56(12):1049–1058. https://doi.org/10.1007/s11244-013-0069-3
Ma Z, Zaera F (2006) Heterogeneous catalysis by metals. In: Encyclopedia of Inorganic Chemistry. John Wiley & Sons, Ltd., UK, pp 1–17. https://doi.org/10.1002/0470862106.ia084
Haertelt M, Fielicke A, Meijer G, Kwapien K, Sierka M, Sauer J (2012) Structure determination of neutral MgO clusters—hexagonal nanotubes and cages. Phys Chem Chem Phys 14(8):2849. https://doi.org/10.1039/c2cp23432g
Hong L, Wang H, Cheng J, Tang L, Zhao J (2012) Lowest-energy structures of (MgO)n (N=2–7) clusters from a topological method and first-principles calculations. Comput Theor Chem 980:62–67. https://doi.org/10.1016/j.comptc.2011.11.015
Malliavin M-J, Coudray C (1997) Ab initio calculations on (MgO)n, (CaO)n, and (NaCl)n clusters (n =1–6). J Chem Phys 106(6):2323–2330. https://doi.org/10.1063/1.474110
Kwapien K, Sierka M, Döbler J, Sauer J, Haertelt M, Fielicke A, Meijer G (2011) Structural diversity and flexibility of MgO gas-phase clusters. Angew Chemie Int Ed 50(7):1716–1719. https://doi.org/10.1002/anie.201004617
Jain A, Kumar V, Sluiter M, Kawazoe Y (2006) First principles studies of magnesium oxide clusters by parallelized Tohoku University Mixed-Basis Program TOMBO. Comput Mater Sci 36(1–2):171–175. https://doi.org/10.1016/j.commatsci.2005.06.007
de la Puente E, Aguado A, Ayuela A, López JM (1997) Structural and electronic properties of small neutral (MgO)n clusters. Phys Rev B 56(12):7607–7614. https://doi.org/10.1103/PhysRevB.56.7607
Recio JM, Pandey R, Ayuela A, Kunz AB (1993) Molecular orbital calculations on (MgO)n and (MgO)n+ clusters (n=1–13). J Chem Phys 98(6):4783–4792. https://doi.org/10.1063/1.464982
Moukouri S, Noguera C (1992) Theoretical study of small MgO clusters. Zeitschrift für Phys D Atoms Mol Clust 24(1):71–79. https://doi.org/10.1007/BF01436606
Recio JM, Pandey R (1993) Ab initio study of neutral and ionized microclusters of MgO. Phys Rev A 47(3):2075–2082. https://doi.org/10.1103/PhysRevA.47.2075
Wang G, Xiao Y, Song Y, Zhou H, Tian Q, Li F (2017) A Density functional study on the aggregation of alumina clusters. Res Chem Intermed 43(3):1447–1463. https://doi.org/10.1007/s11164-016-2708-3
Rahane AB, Deshpande MD, Kumar V (2011) Structural and electronic properties of (Al2O3)n clusters with n = 1–10 from first principles calculations. J Phys Chem C 115(37):18111–18121. https://doi.org/10.1021/jp2050614
Patzer ABC, Chang C, Sedlmayr E, Sülzle D (2005) A density functional study of small AlxOy (x, y=1-4) clusters and their thermodynamic properties. Eur Phys J D 32(3):329–337. https://doi.org/10.1140/epjd/e2005-00026-8
Fernández E, Balbás L, Borstel G, Soler J (2003) First principles calculation of the geometric and electronic structure of (Al2O3)n(Ox) clusters with N<15 and X=0, 1, 2. Thin Solid Films 428(1–2):206–210. https://doi.org/10.1016/S0040-6090(02)01264-6
Sun J, Lu WC, Zhang W, Zhao LZ, Li ZS, Sun CC (2008) Theoretical study on (Al2O3)n (n = 1–10 and 30) fullerenes and H2 adsorption properties. Inorg Chem 47(7):2274–2279. https://doi.org/10.1021/ic7011364
Woodley SM (2011) Atomistic and electronic structure of (X2O3)n nanoclusters; n =1–5, X=B, Al, Ga, In and Tl. Proc R Soc A Math Phys Eng Sci 467(2131):2020–2042. https://doi.org/10.1098/rspa.2011.0009
Chu TS, Zhang RQ, Cheung HF (2001) Geometric and electronic structures of silicon oxide clusters. J Phys Chem B 105(9):1705–1709. https://doi.org/10.1021/jp002046k
Lu WC, Wang CZ, Nguyen V, Schmidt MW, Gordon MS, Ho KM (2003) Structures and fragmentations of small silicon oxide clusters by ab initio calculations. J Phys Chem A 107(36):6936–6943. https://doi.org/10.1021/jp027860h
Harkless JAW, Stillinger DK, Stillinger FH (1996) Structures and energies of SiO2 clusters. J Phys Chem 100(4):1098–1103. https://doi.org/10.1021/jp950807r
Nayak SK, Rao BK, Khanna SN, Jena P (1998) Atomic and electronic structure of neutral and charged SinOm clusters. J Chem Phys 109(4):1245–1250. https://doi.org/10.1063/1.476675
Zhang RQ, Chu TS, Cheung HF, Wang N, Lee ST (2001) High reactivity of silicon suboxide clusters. Phys Rev B 64(11):113304. https://doi.org/10.1103/PhysRevB.64.113304
Zhang RQ, Fan WJ (2006) Structures and properties of silicon oxide clusters by theoretical investigations. J Clust Sci 17(4):541–563. https://doi.org/10.1007/s10876-006-0087-4
Zhang Zhang RQ (2006) Structural model of silica nanowire assembled from a highly stable (SiO2)8 unit. J Phys Chem B 110(3):1338–1343. https://doi.org/10.1021/jp052643c
Bandyopadhyay I, Aikens CM (2011) Structure and stability of (TiO2)n, (SiO2)n, and mixed TimSin − mO2n [n = 2–5, m = 1 to (n − 1)] clusters. J Phys Chem A 115(5):868–879. https://doi.org/10.1021/jp109412u
Jeong KS, Chang C, Sedlmayr E, Sülzle D (2000) Electronic structure investigation of neutral titanium oxide molecules TixOy. J Phys B At Mol Opt Phys 33(17):3417–3430. https://doi.org/10.1088/0953-4075/33/17/319
Qu Z, Kroes G-J (2006) Theoretical study of the electronic structure and stability of titanium dioxide clusters (TiO2)n with n = 1–9. J Phys Chem B 110(18):8998–9007. https://doi.org/10.1021/jp056607p
Albaret T, Finocchi F, Noguera C (1999) First principles simulations of titanium oxide clusters and surfaces. Faraday Discuss 114:285–304. https://doi.org/10.1039/a903066b
Albaret T, Finocchi F, Noguera C (2000) Density functional study of stoichiometric and O-rich titanium oxygen clusters. J Chem Phys 113(6):2238–2249. https://doi.org/10.1063/1.482038
Hagfeldt A, Bergstroem R, Siegbahn HOG, Lunell S (1993) Structure and stability of small titanium/oxygen clusters studied by ab initio quantum chemical calculations. J Phys Chem 97(49):12725–12730. https://doi.org/10.1021/j100151a016
Mitin AV (2011) Accurate theoretical IR and Raman spectrum of Al2O2 and Al2O3 molecules. Struct Chem 22(2):411–418. https://doi.org/10.1007/s11224-011-9736-9
Desai SR, Wu H, Rohlfing CM, Wang L-S (1997) A study of the structure and bonding of small aluminum oxide clusters by photoelectron spectroscopy: AlxOy− (X=1–2, Y=1–5). J Chem Phys 106(4):1309–1317. https://doi.org/10.1063/1.474085
Wang L-S, Wu H, Desai SR, Fan J, Colson SD (1996) A photoelectron spectroscopic study of small silicon oxide clusters: SiO2, Si2O3, and Si2O4. J Phys Chem 100(21):8697–8700. https://doi.org/10.1021/jp9602538
Wang L-S, Desai SR, Wu H, Nichloas JB (1997) Small silicon oxide clusters: chains and rings. Zeitschrift für Phys D Atoms Mol Clust 40(1–4):36–39. https://doi.org/10.1007/s004600050152
Ziemann PJ, Castleman AW (1991) Mass-spectrometric study of the formation, evaporation, and structural properties of doubly charged MgO clusters. Phys Rev B 44(12):6488–6499. https://doi.org/10.1103/PhysRevB.44.6488
Ziemann PJ, Castleman AW (1991) Stabilities and structures of gas phase MgO clusters. J Chem Phys 94(1):718–728. https://doi.org/10.1063/1.460340
Saunders WA (1988) Structural dissimilarities between small II-VI compound clusters: MgO and CaO. Phys Rev B 37(11):6583–6586. https://doi.org/10.1103/PhysRevB.37.6583
Yu W, Freas RB (1990) Formation and fragmentation of gas-phase titanium/oxygen cluster positive ions. J Am Chem Soc 112(20):7126–7133. https://doi.org/10.1021/ja00176a007
Fernandes GFS, Machado FBC, Ferrão LFA (2018) A quantitative tool to establish magic number clusters, ε3, applied in small silicon clusters, Si2-11. J Mol Model 24(8):203. https://doi.org/10.1007/s00894-018-3748-y
Fernandes GFS, Machado FBC, Ferrão LFA (2020) Identification of magic numbers in homonuclear clusters: the ε3 stability ranking function. J Phys Chem A 124(2):454–463. https://doi.org/10.1021/acs.jpca.9b11264
Geerlings P, De Proft F, Langenaeker W (2003) Conceptual density functional theory. Chem Rev 103(5):1793–1874. https://doi.org/10.1021/cr990029p
Gázquez JL, Cedillo A, Vela A (2007) Electrodonating and electroaccepting powers. J Phys Chem A 111(10):1966–1970. https://doi.org/10.1021/jp065459f
Chattaraj PK, Chakraborty A, Giri S (2009) Net electrophilicity. J Phys Chem A 113(37):10068–10074. https://doi.org/10.1021/jp904674x
Chakraborty A, Das R, Giri S, Chattaraj PK (2011) Net reactivity index (ΔωR±). J Phys Org Chem 24(9):854–864. https://doi.org/10.1002/poc.1855
Bawa F, Panas I (2001) Limiting properties of (MgO)n and (CaO)n clusters. Phys Chem Chem Phys 3(15):3042–3047. https://doi.org/10.1039/b103738m
Zhao Y, Truhlar DG (2008) The M06 suite of density functionals for main group thermochemistry, thermochemical kinetics, noncovalent interactions, excited states, and transition elements: two new functionals and systematic testing of four M06-class functionals and 12 other function. Theor Chem Acc 120(1–3):215–241. https://doi.org/10.1007/s00214-007-0310-x
Weigend F (2006) Accurate coulomb-fitting basis sets for H to Rn. Phys Chem Chem Phys 8(9):1057. https://doi.org/10.1039/b515623h
Weigend F, Ahlrichs R (2005) Balanced basis sets of split valence, triple zeta valence and quadruple zeta valence quality for H to Rn: design and assessment of accuracy. Phys Chem Chem Phys 7(18):3297. https://doi.org/10.1039/b508541a
Finley J, Malmqvist P-Å, Roos BO, Serrano-Andrés L (1998) The Multi-State CASPT2 Method. Chem Phys Lett 288(2–4):299–306. https://doi.org/10.1016/S0009-2614(98)00252-8
Celani P, Werner H-J (2000) Multireference perturbation theory for large restricted and selected active space reference wave functions. J Chem Phys 112(13):5546–5557. https://doi.org/10.1063/1.481132
Shiozaki T, Győrffy W, Celani P, Werner H-J (2011) Communication: extended multi-state complete active space second-order perturbation theory: energy and nuclear gradients. J Chem Phys 135(8):081106-1-08110–4. https://doi.org/10.1063/1.3633329
Shiozaki T, Werner H-J (2010) Communication: second-order multireference perturbation theory with explicit correlation: CASPT2-F12. J Chem Phys 133(14):141103-1–141103-141104. https://doi.org/10.1063/1.3489000
Andersson K, Malmqvist PA, Roos BO, Sadlej AJ, Wolinski K (1990) Second-order perturbation theory with a CASSCF reference function. J Phys Chem 94(14):5483–5488. https://doi.org/10.1021/j100377a012
Roos BO, Linse P, Siegbahn PEM, Blomberg MRa (1982) A simple method for the evaluation of the second-order-perturbation energy from external double-excitations with a CASSCF reference wavefunction. Chem Phys 66(1–2):197–207. https://doi.org/10.1016/0301-0104(82)88019-1
Werner H, Knowles PJ (1985) A second order multiconfiguration SCF procedure with optimum convergence. J Chem Phys 82(11):5053–5063. https://doi.org/10.1063/1.448627
Szalay PG, Bartlett RJ (1993) Multi-reference averaged quadratic coupled-cluster method: a size-extensive modification of multi-reference CI. Chem Phys Lett 214(5):481–488. https://doi.org/10.1016/0009-2614(93)85670-J
Szalay PG, Bartlett RJ (1995) Approximately extensive modifications of the multireference configuration interaction method: a theoretical and practical analysis. J Chem Phys 103(9):3600–3612. https://doi.org/10.1063/1.470243
Roos BO, Andersson K (1995) Multiconfigurational perturbation theory with level shift — the Cr2 potential revisited. Chem Phys Lett 245(2):215–223. https://doi.org/10.1016/0009-2614(95)01010-7
Frisch, M. J.; Trucks, G. W.; Schlegel, H. B.; Scuseria, G. E.; Robb, M. A.; Cheeseman, J. R.; Scalmani, G.; Barone, V.; Mennucci, B.; Petersson, G. A.; Nakatsuji, H.; Caricato, M.; Li, X.; Hratchian, H. P.; Izmaylov, A. F.; Bloino, J.; Zheng, G.; Sonnenberg, J. L.; Hada, M.; Ehara, M.; Toyota, K.; Fukuda, R.; Hasegawa, J.; Ishida, M.; Nakajima, T.; Honda, Y.; Kitao, O.; Nakai, H.; Vreven, T.; Montgomery Jr., J. A.; Peralta, J. E.; Ogliaro, F.; Bearpark, M.; Heyd, J. J.; Brothers, E.; Kudin, K. N.; Staroverov, V. N.; Kobayashi, R.; Normand, J.; Raghavachari, K.; Rendell, A.; Burant, J. C.; Iyengar, S. S.; Tomasi, J.; Cossi, M.; Rega, N.; Millam, J. M.; Klene, M.; Knox, J. E.; Cross, J. B.; Bakken, V.; Adamo, C.; Jaramillo, J.; Gomperts, R.; Stratmann, R. E.; Yazyev, O.; Austin, A. J.; Cammi, R.; Pomelli, C.; Ochterski, J. W.; Martin, R. L.; Morokuma, K.; Zakrzewski, V. G.; Voth, G. A.; Salvador, P.; Dannenberg, J. J.; Dapprich, S.; Daniels, A. D.; Farkas, Ö.; Foresman, J. B.; Ortiz, J. V; Cioslowski, J.; Fox, D. J. Gaussian 09 Revision D.01.
Werner, H.-J.; Knowles, P. J.; Knizia, G.; Manby, F. R.; Schütz, M.; others. MOLPRO, Version 2015.1, a package of ab initio programs. Cardiff, UK 2015.
Tang W, Sanville E, Henkelman G (2009) A grid-based bader analysis algorithm without lattice bias. J Phys Condens Matter 21(8):084204-1–084204-084207. https://doi.org/10.1088/0953-8984/21/8/084204
Allouche A (2012) Software news and updates Gabedit — a graphical user interface for computational chemistry softwares. J Comput Chem 32:174–182. https://doi.org/10.1002/jcc
Henkelman G, Arnaldsson A, Jónsson H (2006) A fast and robust algorithm for bader decomposition of charge density. Comput Mater Sci 36(3):354–360. https://doi.org/10.1016/j.commatsci.2005.04.010
Yu M, Trinkle DR (2011) Accurate and efficient algorithm for bader charge integration. J Chem Phys 134(6):064111. https://doi.org/10.1063/1.3553716
Salem JK, El-Nahhal IM, Hammad TM, Kuhn S, Sharekh SA, El-Askalani M, Hempelmann R (2015) Optical and fluorescence properties of MgO nanoparticles in micellar solution of hydroxyethyl laurdimonium chloride. Chem Phys Lett 636:26–30. https://doi.org/10.1016/j.cplett.2015.07.014
Pellegrino F, Pellutiè L, Sordello F, Minero C, Ortel E, Hodoroaba V-D, Maurino V (2017) Influence of agglomeration and aggregation on the photocatalytic activity of TiO2 nanoparticles. Appl Catal B Environ 216:80–87. https://doi.org/10.1016/j.apcatb.2017.05.046
Ngangbam C, Mondal A, Choudhuri B (2015) Efficient photon management with Ag nanoparticles coated TiO2 nanowire clusters for photodetector application. Electron Mater Lett 11(5):758–763. https://doi.org/10.1007/s13391-015-4207-x
Bharthasaradhi R, Nehru LC (2016) Structural and phase transition of α- Al2O3 powders obtained by co-precipitation method. Phase Transitions 89(1):77–83. https://doi.org/10.1080/01411594.2015.1072628
Domingo LR, Aurell MJ, Pérez P, Contreras R (2002) Quantitative characterization of the global electrophilicity power of common diene/dienophile pairs in Diels-Alder reactions. Tetrahedron 58(22):4417–4423
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This work has been supported by Brazilian agencies Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) under grants 2019/25105–6, 2018/22669–3, and 2019/03729–8 and Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) under grants 307136/2019–1, 313624/2019–4, and 406107/2016–5.
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All authors contributed to the study conception and design. Conceptualization, data curation, and validation were performed by Giovana V. Fonseca. Formal analysis, investigation, and methodology were carried out by Giovana V. Fonseca, Gabriel Freire Sanzovo Fernandes, and Luiz Fernando de Araujo Ferrão. Funding acquisition and resources were performed by Francisco Bolivar Correto Machado and Luiz Fernando de Araujo Ferrão. The first draft of the manuscript was written by Giovana V. Fonseca and Gabriel Freire Sanzovo Fernandes, and all authors commented on previous versions of the manuscript. All authors read and approved the final manuscript.
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Fonseca, G.V., Fernandes, G.F.S., Machado, F.B.C. et al. Electronic structure and physicochemical properties of the metal and semimetal oxide nanoclusters. J Mol Model 28, 307 (2022). https://doi.org/10.1007/s00894-022-05308-3
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DOI: https://doi.org/10.1007/s00894-022-05308-3