Abstract
The research on metallic clusters in relevance to its far-reaching involvement in the high technology sector, solid-state physics and catalysis is an interesting and significant field of study. In this report, the investigation of arsenic doped iron cluster, AsFe n (n = 1–4) aided by conceptual density functional theory (CDFT) method has been performed. CDFT based global descriptors-mainly HOMO–LUMO energy gap and other parameters of these clusters are worked out. Obtained data shows that band energy gap varies in the magnitude of 1.451–3.138 eV. Uppermost magnitude of HOMO–LUMO energy gap i.e. 3.138 eV is observed for AsFe while AsFe4 show the smallest energy gap. It is noted that band gap of these systems decreases with increase in the cluster size, ‘n’. Direct association concerning both parameters HOMO–LUMO energy gap and molecular hardness of AsFe n clusters have been found. It indicates that among the studied compound AsFe is the most stable system whereas AsFe4 is the least stable. Dipole moment of the clusters is observed in the variation of 2.303 Debye to 3.853 Debye, signifying that the bond within the clusters is ionic in nature. The computed bond length between Fe–Fe in AsFe n is in agreement with the experimental data.
Funding source: Science and Engineering Research Board (SERB), Department of Science and Technology, Government of India
Award Identifier / Grant number: CRG/2020/002951
Award Identifier / Grant number: CRG/2022/002539
Acknowledgment
Dr. Prabhat Ranjan would like to acknowledge the funding support from Science and Engineering Research Board (SERB), Department of Science and Technology, Government of India, under Grant No. [CRG/2022/002539]. Dr Ranjan and Ms Shayeri Das are thankful to Manipal University Jaipur’s research facilities and computational resources. Dr. Tanmoy Chakraborty would like to acknowledge the funding support from Science and Engineering Research Board (SERB), Department of Science and Technology, Government of India, under Grant No. [CRG/2020/002951]. Dr. Chakraborty is also thankful to Sharda University for providing the research facility.
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Author contributions: All the authors have accepted responsibility for the entire content of this submitted manuscript and approved submission.
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Research funding: Dr. Prabhat Ranjan would like to acknowledge the funding support from Science and Engineering Research Board (SERB), Department of Science and Technology, Government of India, under Grant No. [CRG/2022/002539]. Dr. Tanmoy Chakraborty would like to acknowledge the funding support from Science and Engineering Research Board (SERB), Department of Science and Technology, Government of India, under Grant No. [CRG/2020/002951]. Dr. Chakraborty is also thankful to Sharda University for providing the research facility.
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Conflict of interest statement: The authors declare no conflicts of interest regarding this article.
References
1. Bansmann, J, Baker, SH, Binns, C, Blackman, JA, Bucher, JP, Dorantes-Dávila, J, et al.. Magnetic and structural properties of isolated and assembled clusters. Surf Sci Rep 2005;56:189–275. https://doi.org/10.1002/chin.200552215.Search in Google Scholar
2. Kim, E, Mohrland, A, Weck, PF, Pang, T, Czerwinski, KR, Tománek, D. Magic numbers in small iron clusters: a first-principles study. Chem Phys Lett 2014;613:59–63. https://doi.org/10.1016/j.cplett.2014.08.056.Search in Google Scholar
3. Wrigge, G, Hoffmann, MA, Issendorff, BV. Photoelectron spectroscopy of sodium clusters: direct observation of the electronic shell structure. Phys Rev A 2002;65:063201. https://doi.org/10.1103/physreva.65.063201.Search in Google Scholar
4. Billas, IM, Becker, JA, Châtelain, A, de Heer, WA. Magnetic moments of iron clusters with 25 to 700 atoms and their dependence on temperature. Phys Rev Lett 1993;71:4067. https://doi.org/10.1103/physrevlett.71.4067.Search in Google Scholar PubMed
5. Billas, IM, Chatelain, A, de Heer, WA. Magnetism from the atom to the bulk in iron, cobalt, and nickel clusters. Science 1994;265:1682–4. https://doi.org/10.1126/science.265.5179.1682.Search in Google Scholar PubMed
6. Cox, DM, Trevor, DJ, Whetten, RL, Rohlfing, EA, Kaldor, A. Magnetic behavior of free-iron and iron oxide clusters. Phys Rev B 1985;32:7290. https://doi.org/10.1103/physrevb.32.7290.Search in Google Scholar PubMed
7. Sakurai, M, Watanabe, K, Sumiyama, K, Suzuki, K. Magic numbers in transition metal (Fe, Ti, Zr, Nb, and Ta) clusters observed by time-of-flight mass spectrometry. J Chem Phys 1999;111:235–8. https://doi.org/10.1063/1.479268.Search in Google Scholar
8. Chen, JL, Wang, CS, Jackson, KA, Pederson, MR. Theory of magnetic and structural ordering in iron clusters. Phys Rev B 1991;44:6558. https://doi.org/10.1103/physrevb.44.6558.Search in Google Scholar PubMed
9. Castro, M, Salahub, DR. Density-functional calculations for small iron clusters: Fen, Fen+, and Fen− for n ≤ 5. Phys Rev B 1994;49:11842. https://doi.org/10.1103/physrevb.49.11842.Search in Google Scholar PubMed
10. Ballone, P, Jones, RO. Structure and spin in small iron clusters. Chem Phys Lett 1995;233:632–8. https://doi.org/10.1016/0009-2614(94)01491-d.Search in Google Scholar
11. Oda, T, Pasquarello, A, Car, R. Fully unconstrained approach to noncollinear magnetism: application to small Fe clusters. Phys Rev Lett 1998;80:3622. https://doi.org/10.1103/physrevlett.80.3622.Search in Google Scholar
12. Hobbs, D, Kresse, G, Hafner, J. Fully unconstrained noncollinear magnetism within the projector augmented-wave method. Phys Rev B 2000;62:11556. https://doi.org/10.1103/physrevb.62.11556.Search in Google Scholar
13. Rollmann, G, Entel, P, Sahoo, S. Competing structural and magnetic effects in small iron clusters. Comput Mater Sci 2006;35:275–8. https://doi.org/10.1016/j.commatsci.2004.09.059.Search in Google Scholar
14. Gutsev, GL, Bauschlicher, JCW. Electron affinities, ionization energies, and fragmentation energies of fen clusters (n = 2−6): a density functional theory study. J Phys Chem A 2013;107:7013. https://doi.org/10.1021/jp030288p.Search in Google Scholar
15. Yu, S, Chen, S, Zhang, W, Yu, L, Yin, Y. Theoretical study of electronic structures and magnetic properties in iron clusters (n ⩽ 8). Chem Phys Lett 2007;446:217–22. https://doi.org/10.1016/j.cplett.2007.08.035.Search in Google Scholar
16. Gutsev, GL, Weatherford, CA, Jena, P, Johnson, E, Ramachandran, BR. Structure and Properties of Fen, Fen–, and Fen+ Clusters, n = 7–20. J Phys Chem A 2012;116:10218–28. https://doi.org/10.1021/jp307284v.Search in Google Scholar PubMed
17. Maroun, F, Ozanam, F, Magnussen, OM, Behm, R. The role of atomic ensembles in the reactivity of bimetallic electrocatalysts. Science 2001;293:1811–4. https://doi.org/10.1126/science.1061696.Search in Google Scholar PubMed
18. Eberhardt, W. Clusters as new materials. Surf Sci 2002;500:242–70. https://doi.org/10.1016/s0039-6028(01)01564-3.Search in Google Scholar
19. Yang, JX, Guo, JJ, Die, D. Ab initio study of AunIr (n = 1–8) clusters. Comput Theor Chem 2011;963:435–8. https://doi.org/10.1016/j.comptc.2010.11.013.Search in Google Scholar
20. Bouderbala, W, Boudjahem, AG, Soltani, A. Geometries, stabilities, electronic and magnetic properties of small PdnIr (n = 1–8) clusters from first-principles calculations. Mol Phys 2014;112:1789–98. https://doi.org/10.1080/00268976.2013.865089.Search in Google Scholar
21. Chaves, AS, Rondina, GG, Piotrowski, MJ, Da Silva, JL. Structural formation of binary PtCu clusters: a density functional theory investigation. Comput Mater Sci 2015;98:278–86. https://doi.org/10.1016/j.commatsci.2014.11.022.Search in Google Scholar
22. Ranjan, P, Das, S, Yadav, P, Tandon, H, Chaudhary, S, Malik, B, et al.. Structure and electronic properties of [AunV] λ (n = 1–9; λ = 0,±1) nanoalloy clusters within density functional theory framework. Theor Chem Acc 2021;140:1–12. https://doi.org/10.1007/s00214-021-02772-7.Search in Google Scholar
23. Ranjan, P, Chakraborty, T. A comparative study of structure, stabilities and electronic properties of neutral and cationic [AuSin] λ and [Sin+1] λ (λ = 0, +1; n = 1–12) nanoalloy clusters. Mater Today Commun 2020;22:100832. https://doi.org/10.1016/j.mtcomm.2019.100832.Search in Google Scholar
24. Ranjan, P, Chakraborty, T. Structure and optical properties of (CuAg) n (n = 1–6) nanoalloy clusters within density functional theory framework. J Nanoparticle Res 2020;22:1–11. https://doi.org/10.1007/s11051-020-05016-0.Search in Google Scholar
25. Al-Odail, F, Mazher, J, Abuelela, AM. A density functional theory study of structural, electronic and magnetic properties of small PdnAg (n = 1–8) clusters. Comput Theor Chem 2018;1125:103–11. https://doi.org/10.1016/j.comptc.2018.01.005.Search in Google Scholar
26. Zhao, S, Ren, Y, Ren, Y, Wang, J, Yin, W. Density functional study of NO binding on small AgnPdm (n + m ⩽ 5) clusters. Comput Theor Chem 2011;964:298–303. https://doi.org/10.1016/j.comptc.2011.01.009.Search in Google Scholar
27. Liu, X, Tian, D, Meng, C. DFT study on stability and H2 adsorption activity of bimetallic Au79− nPdn (n = 1–55) clusters. Chem Phys 2013;415:179–85. https://doi.org/10.1016/j.chemphys.2013.01.014.Search in Google Scholar
28. Ranjan, P, Chakraborty, T. Theoretical analysis of Au–Pd nanoalloy clusters: a DFT study. J Phys Conf Ser 2020;1455:012008. https://doi.org/10.1088/1742-6596/1455/1/012008.Search in Google Scholar
29. Hong, L, Wang, H, Cheng, J, Huang, X, Sai, L, Zhao, J. Atomic structures and electronic properties of small Au–Ag binary clusters: effects of size and composition. Comput Theor Chem 2012;993:36–44. https://doi.org/10.1016/j.comptc.2012.05.027.Search in Google Scholar
30. Ranjan, P, Chakraborty, T, Kumar, A. Density functional study of structures, stabilities and electronic properties of clusters: comparison with pure gold clusters. Mater Sci 2020;38:97–107. https://doi.org/10.2478/msp-2020-0014.Search in Google Scholar
31. Die, D, Kuang, XY, Guo, JJ, Zheng, BX. First-principle study of AunFe (n = 1–7) clusters. J Mol Struct 2009;902:54–8. https://doi.org/10.1016/j.theochem.2009.02.009.Search in Google Scholar
32. Das, S, Chakraborty, T, Ranjan, P. Theoretical analysis of AgFen (n = 1–5) clusters: a DFT study. Mater Today Proc 2021;54:873–7. https://doi.org/10.1016/j.matpr.2021.11.197.Search in Google Scholar
33. Ma, L, Wang, J, Hao, Y, Wang, G. Density functional theory study of FePdn (n = 2–14) clusters and interactions with small molecules. Comput Mater Sci 2013;68:166–73. https://doi.org/10.1016/j.commatsci.2012.10.014.Search in Google Scholar
34. Wen, JQ, Xia, T, Zhou, H, Wang, JF. A density functional theory study of small bimetallic PdnAl (n = 1–8) clusters. J Phys Chem Solid 2014;75:528–34. https://doi.org/10.1016/j.jpcs.2013.12.018.Search in Google Scholar
35. Mikhailov, OV, Chachkov, DV. DFT calculation of molecular structures of Al2Fe3 and Al2Cu3 heterobinuclear clusters. Struct Chem 2018;29:1543–9. https://doi.org/10.1007/s11224-018-1146-9.Search in Google Scholar
36. Mikhailov, OV, Chachkov, DV. Models of molecular structures of aluminum–iron clusters AlFe3, Al2Fe3, and Al2Fe4 according to quantum-chemical DFT calculations. Russ J Inorg Chem 2017;62:336–43. https://doi.org/10.1134/s0036023617030135.Search in Google Scholar
37. Ling, W, Dong, D, Shi-Jian, W, Zheng-Quan, Z. Geometrical, electronic, and magnetic properties of CunFe (n = 1–12) clusters: a density functional study. J Phys Chem Solid 2015;76:10–6. https://doi.org/10.1016/j.jpcs.2014.07.022.Search in Google Scholar
38. Lippa, TP, Xu, SJ, Lyapustina, SA, Nilles, JM, Bowen, KH. Photoelectron spectroscopy of As−, As2−, As3−, As4−, and As5−. J Chem Phys 1998;109:10727–31. https://doi.org/10.1063/1.477771.Search in Google Scholar
39. Zhao, J, Zhou, X, Chen, X, Wang, J, Jellinek, J. Density-functional study of small and medium-sized as n clusters up to n = 28. Phys Rev B 2006;73:115418. https://doi.org/10.1103/physrevb.73.115418.Search in Google Scholar
40. Zhao, Y, Xu, W, Li, Q, Xie, Y, Schaefer, HFIII. The arsenic clusters Asn (n = 1–5) and their anions: structures, thermochemistry, and electron affinities. J Comput Chem 2004;25:907–20. https://doi.org/10.1002/jcc.20014.Search in Google Scholar PubMed
41. Liang, G, Wu, Q, Yang, J. Probing the electronic structure and property of neutral and charged arsenic clusters (Asn (+1, 0, –1), n ≤ 8) using Gaussian-3 theory. J Phys Chem A 2011;115:8302–9. https://doi.org/10.1021/jp203585p.Search in Google Scholar PubMed
42. Zhai, HJ, Wang, LS, Kuznetsov, AE, Boldyrev, AI. Probing the electronic structure and aromaticity of pentapnictogen cluster anions Pn5−(Pn = P, As, Sb, and Bi) using photoelectron spectroscopy and ab initio calculations. J Phys Chem A 2002;106:5600–6. https://doi.org/10.1021/jp020115k.Search in Google Scholar
43. Walter, CW, Gibson, ND, Field, RLIII, Snedden, AP, Shapiro, JZ, Janczak, CM, et al.. Electron affinity of arsenic and the fine structure of As− measured using infrared photodetachment threshold spectroscopy. Phys Rev A 2009;80:014501. https://doi.org/10.1103/physreva.80.014501.Search in Google Scholar
44. Guo, L. Evolution of the electronic structure and properties of neutral and charged arsenic clusters. J Mater Sci 2007;42:9154–62. https://doi.org/10.1007/s10853-007-1928-8.Search in Google Scholar
45. Wang, J, Ma, L, Zhao, J, Wang, G, Chen, X, Bruce King, R. Electronic and magnetic properties of manganese and iron-doped GanAsn nanocages (n = 7–12). J Chem Phys 2008;129:044908. https://doi.org/10.1063/1.2960625.Search in Google Scholar PubMed
46. Mirbt, S, Sanyal, B, Isheden, C, Johansson, B. First-principles calculations of Fe on GaAs (100). Phys Rev B 2003;67:155421. https://doi.org/10.1103/physrevb.67.155421.Search in Google Scholar
47. Das, S, Ranjan, P, Chakraborty, T. Computational study of Cu n AgAu (n = 1–4) clusters invoking DFT based descriptors. Phys Sci Rev 2023;8:3605–13. https://doi.org/10.1515/psr-2021-0141.Search in Google Scholar
48. Illas, F, Martin, RL. Magnetic coupling in ionic solids studied by density functional theory. J Chem Phys 1998;108:2519–27. https://doi.org/10.1063/1.475636.Search in Google Scholar
49. Gyorffy, BL, Staunton, JB, Stocks, GM. Fluctuations in density functional theory: random metallic alloys and itinerant paramagnets. In: Density Functional Theory. Boston, MA: Springer; 1995:461–84 pp.10.1007/978-1-4757-9975-0_18Search in Google Scholar
50. Kümmel, S, Brack, M. Quantum fluid dynamics from density-functional theory. Phys Rev A 2001;64:022506. https://doi.org/10.1103/physreva.64.022506.Search in Google Scholar
51. Car, R, Parrinello, M. Unified approach for molecular dynamics and density-functional theory. Phys Rev Lett 1985;55:2471. https://doi.org/10.1103/physrevlett.55.2471.Search in Google Scholar PubMed
52. Koskinen, M, Lipas, PO, Manninen, M. Unrestricted shapes of light nuclei in the local-density approximation: comparison with jellium clusters. Nucl Phys A 1995;591:421–34. https://doi.org/10.1016/0375-9474(95)00209-j.Search in Google Scholar
53. Schmid, RN, Engel, E, Dreizler, RM. Density functional approach to quantum hadrodynamics: local exchange potential for nuclear structure calculations. Phys Rev C 1995;52:164. https://doi.org/10.1103/physrevc.52.164.Search in Google Scholar PubMed
54. Gaussian 16, Revision C.01, Frisch, MJ, Trucks, GW, Schlegel, HB, Scuseria, GE, et al.. Wallingford CT: Gaussian Inc; 2016.Search in Google Scholar
55. Parr, RG, Yang, W. Density-functional theory of atoms and molecules. Oxford: Oxford Univ Press; 1989.Search in Google Scholar
56. Hujon, F, Lyngdoh, RHD, King, RB. Iron‐iron bond lengths and bond orders in diiron lantern‐type complexes with high spin ground states. Eur J Inorg Chem 2021;2021:848–60. https://doi.org/10.1002/ejic.202000897.Search in Google Scholar
57. Fujimoto, H, Kato, S, Yamabe, S, Fukui, K. Molecular orbital calculations of the electronic structure of borazane. In: Frontier orbitals and reaction paths: selected papers of Kenichi Fukui. World Scientifuc Series in 20th Century Chemistry; 1997:283–9 pp.10.1142/9789812795847_0025Search in Google Scholar
58. Kato, S, Fujimoto, H, Yamabe, S, Fukui, K. Molecular orbital calculation of the electronic structure of borane carbonyl. J Am Chem Soc 1974;96:2024–9. https://doi.org/10.1021/ja00814a008.Search in Google Scholar
59. Ghosh, DC, Bhattacharyya, S. Molecular orbital and density functional study of the formation, charge transfer, bonding and the conformational isomerism of the boron trifluoride (BF3) and ammonia (NH3) donor–acceptor complex. Int J Mol Sci 2004;5:239–64. https://doi.org/10.3390/i5050239.Search in Google Scholar
60. Ghosh, DC. A comparative Cndo/2 and Cndo 2d study of the orbital interaction, charge-transfer and bond formation in ammonia-borane. Indian J Pure Appl Phys 1984;22:346–50.Search in Google Scholar
61. Ghosh, DC. A comparative Cndo2 and Cndo 2d study of the orbital interaction, charge-transfer and bond formation in borane-adduct molecules-. 2.-H3b-Co, H3b-N2, (H3b-Cn)-and (H3b-Nc)-systems. Indian J Pure Appl Phys 1989;27:160–6.Search in Google Scholar
62. Xiao, H, Tahir-Kheli, J, Goddard, WAIII. Accurate band gaps for semiconductors from density functional theory. J Phys Chem Lett 2011;2:212–7. https://doi.org/10.1021/jz101565j.Search in Google Scholar
63. Saravanan, S, Balachandran, V. Quantum chemical studies, natural bond orbital analysis and thermodynamic function of 2,5-dichlorophenylisocyanate. Spectrochim Acta, Part A 2014;120:351–64. https://doi.org/10.1016/j.saa.2013.10.042.Search in Google Scholar PubMed
64. Azam, F, Alabdullah, NH, Ehmedat, HM, Abulifa, AR, Taban, I, Upadhyayula, S. NSAIDs as potential treatment option for preventing amyloid β toxicity in Alzheimer’s disease: an investigation by docking, molecular dynamics, and DFT studies. J Biomol Struct Dyn 2018;36:2099–117. https://doi.org/10.1080/07391102.2017.1338164.Search in Google Scholar PubMed
65. Parr, RG, Zhou, Z. Absolute hardness: unifying concept for identifying shells and subshells in nuclei, atoms, molecules, and metallic clusters. Acc Chem Res 1993;26:256–8. https://doi.org/10.1021/ar00029a005.Search in Google Scholar
66. Chattaraj, PK, Sengupta, S. Chemical hardness as a possible diagnostic of the chaotic dynamics of Rydberg atoms in an external field. J Phys Chem A 1999;103:6122–6. https://doi.org/10.1021/jp990242p.Search in Google Scholar
67. Pearson, RG. Recent advances in the concept of hard and soft acids and bases. J Chem Educ 1987;64:561. https://doi.org/10.1021/ed064p561.Search in Google Scholar
68. Sanderson, RT. An interpretation of bond lengths and a classification of bonds. Science 1951;114:670–2. https://doi.org/10.1126/science.114.2973.670.Search in Google Scholar PubMed
69. Sanderson, RT. Carbon—carbon bond lengths. Science 1952;116:41–2. https://doi.org/10.1126/science.116.3002.41.Search in Google Scholar PubMed
70. Parr, RG, Szentpály, LV, Liu, S. Electrophilicity index. J Am Chem Soc 1999;121:1922–4. https://doi.org/10.1021/ja983494x.Search in Google Scholar
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Articles in the same Issue
- Frontmatter
- Reviews
- Biopolymeric composite materials for environmental applications
- Evaluation of phytochemicals and amino acid profiles of four vegetables grown on a glyphosate contaminated soil in Southwestern Nigeria
- Synthesis, characterization and in vitro activity study of some organotin(IV) carboxylates against leukemia cancer cell, L-1210
- Maximizing advantages and minimizing misinterpretation risks when using analogies in the presentation of chemistry concepts: a design challenge
- Computational chemistry in the undergraduate inorganic curriculum
- Phytochemical components and GC–MS analysis of Petiveria alliaceae L. fractions and volatile oils
- Sugar palm (Arenga p innata) thermoplastic starch nanocomposite films reinforced with nanocellulose
- Photoprotection strategies with antioxidant extracts: a new vision
- Light-driven bioprocesses
- A systematic DFT study of arsenic doped iron cluster AsFe n (n = 1–4)