Abstract
The geometrical structures, energetic and electronic properties, and stability of the carbon-doped magnesium clusters have been systematically investigated and compared with those of host magnesium clusters. The evolutions of binding energy, the second difference in energy, dissociation energy, adsorption energy of C, HOMO–LUMO gap, vertical ionization potential, and hardness with the size of the MgnC (n = 1–12) clusters have been obtained and analyzed. Results reveal that most lowest lying MgnC clusters are in triplet state, which is different from the situation of pure magnesium clusters or carbon-doped Ben clusters. The MgnC cluster begins to favor an endohedral geometry when the number of Mg atoms exceeds three, and the transition from planar to three-dimensional structures is found to occur at Mg3C. Among the studied series, the Mg8C and Mg11C clusters have relatively higher electronic stability and are less likely to dissociate. Their special stability can be rationalized from the perspective of cluster shell model. In particular, Mg11C with 26 valence electrons can also be considered as a magic cluster featuring a closed-shell configuration.
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References
Nanna ME, Bierwagen GP (2004) Mg-Rich coatings: a new paradigm for Cr-free corrosion protection of Al aerospace alloys. JCT Res 1:69–80
Pollock TM (2010) Weight loss with magnesium alloys. Science 328:986–987
Kulekci MK (2008) Magnesium and its alloys applications in automotive industry. Int J Adv Manuf Technol 39:851–865
Kim S-H, You B-S, Yim CD et al (2005) Texture and microstructure changes in asymmetrically hot rolled Az31 magnesium alloy sheets. Mater Lett 59:3876–3880
Yoo J, Aksimentiev A (2012) Improved parametrization of Li+, Na+, K+, and Mg2+ ions for all-atom molecular dynamics simulations of nucleic acid systems. J Phys Chem Lett 3:45–50
Zhang E, Xu L, Yang K (2005) Formation by ion plating of Ti-coating on pure Mg for biomedical applications. Scripta Mater 53:523–527
Kong F, Hu Y (2014) Density functional theory study of small X-doped Mg N (X= Fe Co, Ni, N= 1–9) bimetallic clusters: equilibrium structures, stabilities, electronic and magnetic properties. J Mol Model 20:1–10
Er S, de Wijs GA, Brocks G (2010) Tuning the hydrogen storage in magnesium alloys. J Phys Chem Lett 1:1982–1986
Dornheim M, Doppiu S, Barkhordarian G et al (2007) Hydrogen storage in magnesium-based hydrides and hydride composites. Scripta Mater 56:841–846
Harder S, Spielmann J, Intemann J et al (2011) Hydrogen storage in magnesium hydride: the molecular approach. Angew Chem Int Ed 50:4156–4160
Webb C (2015) A review of catalyst-enhanced magnesium hydride as a hydrogen storage material. J Phys Chem Solids 84:96–106
Diederich T, Döppner T, Braune J et al (2001) Electron delocalization in magnesium clusters grown in supercold helium droplets. Phys Rev Lett 86:4807
Jellinek J, Acioli PH (2002) Magnesium clusters: structural and electronic properties and the size-induced nonmetal-to-metal transition. J Phys Chem A 106:10919–10925
Thomas OC, Zheng W, Xu S et al (2002) Onset of metallic behavior in magnesium clusters. Phys Rev Lett 89:213403
Köhn A, Weigend F, Ahlrichs R (2001) Theoretical study on clusters of magnesium. Phys Chem Chem Phys 3:711–719
Belyaev SN, Panteleev SV, Ignatov SK et al (2016) Structural, electronic, thermodynamic and spectral properties of Mgn (N= 2–31) clusters. A Dft Study Comput Theor Chem 1079:34–46
Shen D, Kong C-P, Jia R et al (2015) Investigation of properties of Mg N clusters and their hydrogen storage mechanism: a study based on dft and a global minimum optimization method. J Phys Chem A 119:3636–3643
Lyalin A, Solov’yov IA, Solov’yov AV et al (2003) Evolution of the electronic and ionic structure of Mg clusters with increase in cluster size. Phys Rev A 67:063203
Zhang J-M, Duan Y-N, Xu K-W et al (2008) Ab initio calculation of neutral and singly charged Mgn (n≤ 11) clusters. Phys B 403:3119–3124
Zeng T, He Y (2018) Scaling of the self-energy correction to the homo-lumo gap with magnesium cluster size and its potential for extrapolating to larger magnesium clusters. J Appl Phys 124:044305
Zhai Q-G, Bu X, Zhao X et al (2016) Advancing magnesium-organic porous materials through new magnesium cluster chemistry. Cryst Growth Des 16:1261–1267
Medel VM, Reber AC, Ulises Reveles J et al (2012) Metallic and molecular orbital concepts in xmg8 clusters, X= Be-F. J Chem Phys 136:134311
Ge G-X, Han Y, Wan J-G et al (2013) First-principles prediction of magnetic superatoms in 4 d-transition-metal-doped magnesium clusters. J Chem Phys 139:174309
Li Z, Zhao Z, Zhou Z et al (2017) First-principles calculations on small Mgnzn and Mgn-1zn2 clusters: structures, stability, electronic properties. Mater Chem Phys 199:585–590
Xue-Feng C, Yan Z, Kai-Tian Q et al (2010) Density functional theory study on Ni-Doped Mgnni (N= 1–7) clusters. Chinese Phys B 19:033601
Xia X, Kuang X, Lu C et al (2016) Deciphering the structural evolution and electronic properties of magnesium clusters: an aromatic homonuclear metal Mg17 cluster. J Phys Chem A 120:7947–7954
Aihara J-i (1980) Exact relationship between resonance energies and ring currents of aromatic annulenes. Bull Chem Soc Jpn 53:1163–1164
Haddon R (1979) Unified theory of resonance energies, ring currents, and aromatic character in the (4n+ 2). Pi.-electron annulenes. J Am Chem Soc 101:1722–1728
Hückel E (1932) Quantentheoretische Beiträge Zum Problem Der Aromatischen Und Ungesättigten Verbindungen. Iii Zeitschrift für Physik 76:628–648
Hückel E (1931) Quantentheoretische Beiträge Zum Benzolproblem. Z Phys 70:204–286
Kurakevych OO, Strobel TA, Kim DY et al (2013) Innenrücktitelbild: synthesis of Mg2c: a magnesium methanide (Angew. Chem. 34/2013). Angew Chemie 125:9219–9219
Strobel TA, Kurakevych OO, Kim DY et al (2014) Synthesis of Β-Mg2c3: a monoclinic high-pressure polymorph of magnesium sesquicarbide. Inorg Chem 53:7020–7027
Li T, Ju W, Liu H et al (2014) First-principles investigation of the electronic and lattice vibrational properties of Mg2c. Comp Mater Sci 93:234–238
Lu T (2016) Molclus Program, Version 1.3.5. http://www.keinsci.com/research/molclus.html
Li Y-F, Zhang F-Q, Ren F-Q et al (2018) Geometries, stabilities and electronic properties of bimetallic Al N Pd M (N= 1–10, M= 1, 2) clusters. Int J Mod Phys B 32:1850073
Lu QL, Luo QQ, De Li Y et al (2018) Structure and properties of B 20 Si−∕ 0∕+ clusters. Eur Phys J D 72:1–6
Lu QL, Luo QQ, Huang SG et al (2016) Structural transition of (InSb)N clusters at N= 6–10. Chem Phys Lett 663:128–132
Ren F-Q, Zhang F-Q, Li Y-F et al (2017) Density Functional study of the structural, stability, magnetic properties and chirality of small-sized Al X Zr Y (X+ Y≤ 9) alloy clusters. J Theor Comput Chem 16:1750058
Grimme XTB_4.6. A development of the University of Bonn, Germany. Available from https://www.chemie.uni-bonn.de/pctc/mulliken-center/software/xtb/xtb
Frisch MJ, Trucks GW, Schlegel HB et al (2009) Gaussian 09, Revision A.02. Gaussian Inc, Wallingford CT
Dennington R, Keith T, Millam J (2009) Gaussview, Version 5. Semichem Inc, Shawnee Mission, KS
Zhang DD, Wu D, Yang H et al (2017) The influence of carbon doping on the structures, properties, and stability of beryllium clusters. Eur J Inorg Chem 2017:2428–2434
Zhang S, Zhang Y, Lu Z et al (2016) Probing the structures, stabilities, and electronic properties of neutral and charged carbon-doped lithium Cli N Μ (N= 2–20, Μ= 0,±1) clusters from unbiased calypso method. J Mater Sci 51:9440–9454
Parr RG, Pearson RG (1983) Absolute hardness: companion parameter to absolute electronegativity. J Am Chem Soc 105:7512–7516
Lu T, Chen F (2012) Multiwfn: a multifunctional wavefunction analyzer. J Comput Chem 33:580–592
Röthlisberger U, Andreoni W (1991) Structural and electronic properties of sodium microclusters (N= 2–20) at low and high temperatures: new insights from abinitio molecular dynamics studies. J Chem Phys 94:8129–8151
Barnett R, Landman U, Rajagopal G (1991) Patterns and barriers for fission of charged small metal clusters. Phys Rev Lett 67:3058
Thomas O, Zheng W-J, Lippa T et al (2001) In search of theoretically predicted magic clusters: lithium-doped aluminum cluster anions. J Chem Phys 114:9895–9900
Khanna ZS, Rao B, Jena P (2002) Electronic signature of the magicity and ionic bonding in Al 13 X (X= Li–K) clusters. Phys Rev B 65:125105
Knight W, Clemenger K, de Heer WA et al (1984) Electronic shell structure and abundances of sodium clusters. Phys Rev Lett 52:2141–2143
Leuchtner R, Harms A, Castleman A Jr (1989) Thermal metal cluster anion reactions: behavior of aluminum clusters with oxygen. J Chem Phys 91:2753–2754
Sun W-M, Li Y, Wu D et al (2012) Evolution of the structural and electronic properties of beryllium-doped aluminum clusters: comparison with neutral and cationic aluminum clusters. Phys Chem Chem Phys 14:16467–16475
Liu L, Li P, Yuan L-F et al (2016) From isosuperatoms to isosupermolecules: new concepts in cluster science. Nanoscale 8:12787–12792
Yang H, Wu D, He H-M et al (2020) Distinctive characteristics of Al7li: a superatom counterpart of group Iva elements. Inorg Chem 59:14093–14100
Acknowledgements
This work was supported by the National Natural Science Foundation of China (Grant Nos. 21573089, 51872057, 21673093), the "13th Five-Year" Science and Technology Research Project of Jilin provincial education department (Grant Nos. JJKH20190117KJ, JJKH20190121KJ), and the Natural Science Foundation of FuJian Province (2020J01147). Chen W thanks the supports from Minjiang Scholar and startup fund for high-level talent at Fujian Normal University.
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Li, CM., Wu, D., Tian, X. et al. Probing the effect of carbon doping on structures, properties, and stability of magnesium clusters. Theor Chem Acc 140, 111 (2021). https://doi.org/10.1007/s00214-021-02810-4
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DOI: https://doi.org/10.1007/s00214-021-02810-4