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Lehr A, Rivic F, Jäger M, Gleditzsch M, Schäfer R. Optical absorption and shape transition in neutral Sn N clusters with N ≤ 40: a photodissociation spectroscopy and electric beam deflection study. Phys Chem Chem Phys 2022; 24:11616-11635. [PMID: 35507965 DOI: 10.1039/d2cp01171a] [Citation(s) in RCA: 9] [Impact Index Per Article: 4.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/18/2022]
Abstract
Neutral SnN clusters with N = 6-20, 25, 30, 40 are investigated in a joint experimental and quantum chemical study with the aim to reveal their optical absorption in conjunction with their structural evolution. Electric beam deflection and photodissociation spectroscopy are applied as molecular beam techniques at nozzle temperatures of 16 K, 32 K and 300 K. The dielectric response is probed following the approach in S. Schäfer et al., J. Phys. Chem A, 2008, 112, 12312-12319. It is improved on those findings and the cluster size range is extended in order to cover the prolate growth regime. The impact of the electric dipole moment, rotational temperature and vibrational excitation on the deflection profiles is discussed thoroughly. Photodissociation spectra of tin clusters are recorded for the first time, show similarities to spectra of silicon clusters and are demonstrated to be significantly complicated by the presence of multiphoton absorption in the low-energy region and large excess energies upon dissociation which is modelled by the RRKM theory. In both experiments two isomers for the clusters with N = 8, 11, 12, 19 need to be considered to explain the experimental results. Triple-capped trigonal prisms and double-capped square antiprisms are confirmed to be the driving building units for almost the entire size range. Three dominating fragmentation channels are observed, i.e. the loss of a tin atom for N < 12, a Sn7 fragment for N < 19 and a Sn10 fragment for N ≥ 19 with Sn15 subunits constituting recurring geometric motifs for N > 20. The prolate-to-quasispherical structural transition is found to occur at 30 < N ≤ 40 and is analyzed with respect to the observed optical behavior taking quantum chemical calculations and the Mie-Gans theory into account. Limitations of the experimental approach to study the geometric and electronic structure of the clusters at elevated temperatures due to vibrational excitation is also thoroughly discussed.
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Affiliation(s)
- Andreas Lehr
- Technical University of Darmstadt, Eduard-Zintl-Institut, Alarich-Weiss-Straße 8, 64287 Darmstadt, Germany.
| | - Filip Rivic
- Technical University of Darmstadt, Eduard-Zintl-Institut, Alarich-Weiss-Straße 8, 64287 Darmstadt, Germany.
| | - Marc Jäger
- Technical University of Darmstadt, Eduard-Zintl-Institut, Alarich-Weiss-Straße 8, 64287 Darmstadt, Germany.
| | - Martin Gleditzsch
- Technical University of Darmstadt, Eduard-Zintl-Institut, Alarich-Weiss-Straße 8, 64287 Darmstadt, Germany.
| | - Rolf Schäfer
- Technical University of Darmstadt, Eduard-Zintl-Institut, Alarich-Weiss-Straße 8, 64287 Darmstadt, Germany.
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Cui LF, Wang LM, Wang LS. Evolution of the electronic properties of Snn− clusters (n=4–45) and the semiconductor-to-metal transition. J Chem Phys 2007; 126:064505. [PMID: 17313227 DOI: 10.1063/1.2435347] [Citation(s) in RCA: 27] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
The electronic structure of Sn(n) (-) clusters (n=4-45) was examined using photoelectron spectroscopy at photon energies of 6.424 eV (193 nm) and 4.661 eV (266 nm) to probe the semiconductor-to-metal transition. Well resolved photoelectron spectra were obtained for small Sn(n) (-) clusters (n< or =25), whereas more congested spectra were observed with increasing cluster size. A distinct energy gap was observed in the photoelectron spectra of Sn(n) (-) clusters with n< or =41, suggesting the semiconductor nature of small neutral tin clusters. For Sn(n) (-) clusters with n> or =42, the photoelectron spectra became continuous and no well-defined energy gap was observed, indicating the onset of metallic behavior for the large Sn(n) clusters. The photoelectron spectra thus revealed a distinct semiconductor-to-metal transition for Sn(n) clusters at n=42. The spectra of small Sn(n) (-) clusters (n< or =13) were also compared with those of the corresponding Si(n) (-) and Ge(n) (-) clusters, and similarities were found between the spectra of Sn(n) (-) and those of Ge(n) (-) in this size range, except for Sn(12) (-), which led to the discovery of stannaspherene (the icosahedral Sn(12) (2-)) previously [L. F. Cui et al., J. Am. Chem. Soc. 128, 8391 (2006)].
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Affiliation(s)
- Li-Feng Cui
- Department of Physics, Washington State University, Richland, Washington 99354, USA
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Pacchioni G. Theoretical investigation of the electronic structure and of the potential energy curves for the lowest-lying states of Ge2. Mol Phys 2006. [DOI: 10.1080/00268978300101501] [Citation(s) in RCA: 26] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/24/2022]
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Simon A, Warkentin E. Gd12C6I17- eine Verbindung mit kondensierten, C2-gefüllten Gd6I12-Clustern. Z Anorg Allg Chem 2004. [DOI: 10.1002/zaac.19834970208] [Citation(s) in RCA: 40] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/09/2022]
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Xu W, Zhao Y, Li Q, Xie Y, Schaefer III HF. The germanium clusters Gen(n= 1–6) and their anions: structures, thermochemistry and electron affinities. Mol Phys 2004. [DOI: 10.1080/00268970410001672755] [Citation(s) in RCA: 23] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/26/2022]
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Jo C, Lee K. Semiempirical tight binding method study of small Ge and Sn clusters. J Chem Phys 2000. [DOI: 10.1063/1.1313557] [Citation(s) in RCA: 24] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Meloni G, Schmude RW, Kingcade JE, Gingerich KA. Thermodynamic stability of Sn4, Sn5, Sn6, and Sn7 clusters by Knudsen cell mass spectrometry. J Chem Phys 2000. [DOI: 10.1063/1.481988] [Citation(s) in RCA: 25] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
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Moravec VD, Jarrold CC. Study of tin- and tin cluster–cyano complexes using anion photoelectron spectroscopy and density functional calculations. J Chem Phys 2000. [DOI: 10.1063/1.481883] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/28/2022] Open
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Archibong EF, St-Amant A. A study of Gen− and Gen (n=2–6) using B3LYP-DFT and CCSD(T) methods: The structures and electron affinities of small germanium clusters. J Chem Phys 1998. [DOI: 10.1063/1.476639] [Citation(s) in RCA: 65] [Impact Index Per Article: 2.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Burton GR, Xu C, Arnold CC, Neumark DM. Photoelectron spectroscopy and zero electron kinetic energy spectroscopy of germanium cluster anions. J Chem Phys 1996. [DOI: 10.1063/1.471098] [Citation(s) in RCA: 150] [Impact Index Per Article: 5.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Racemization of (1S)-(−)-exo-2,4-dideuteroapopinene over Pd: Evidence for an Intramolecular 1,3-deuterium shift. ACTA ACUST UNITED AC 1996. [DOI: 10.1016/s0167-2991(96)80235-7] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register]
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14
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15
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Xu Z, Yates JT, Wang LC, Kreuzer HJ. Chemisorbed CO site interconversion on Ni(111) induced by the electric field of physisorbed second layers. J Chem Phys 1992. [DOI: 10.1063/1.462147] [Citation(s) in RCA: 25] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Nath K, Anderson AB. Atom-superposition and electron-delocalization tight-binding band theory. PHYSICAL REVIEW. B, CONDENSED MATTER 1990; 41:5652-5660. [PMID: 9994447 DOI: 10.1103/physrevb.41.5652] [Citation(s) in RCA: 30] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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The Relative Stability of Zeolite Frameworks. ACTA ACUST UNITED AC 1988. [DOI: 10.1016/s0167-2991(09)60609-1] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register]
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Andzelm J, Russo N, Salahub DR. Ground and excited states of group IVA diatomics from local‐spin‐density calculations: Model potentials for Si, Ge, and Sn. J Chem Phys 1987. [DOI: 10.1063/1.453441] [Citation(s) in RCA: 110] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
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Ernst N, Drachsel W, Li Y, Block JH, Kreuzer HJ. Field adsorption of helium on tungsten. PHYSICAL REVIEW LETTERS 1986; 57:2686-2689. [PMID: 10033835 DOI: 10.1103/physrevlett.57.2686] [Citation(s) in RCA: 16] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
|
21
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22
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Fink WH, Banerjee A, Simons J. A multiconfiguration self‐consistent‐field group function method for problems with repeating potentials. J Chem Phys 1983. [DOI: 10.1063/1.445791] [Citation(s) in RCA: 16] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Jentsch T, Drachsel W, Block J. Stability of doubly charged homonuclear trimeric metal clusters. Chem Phys Lett 1982. [DOI: 10.1016/0009-2614(82)83681-6] [Citation(s) in RCA: 40] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/25/2022]
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Warkentin E, Masse R, Simon A. Gd10C4Cl18 und Gd10C4Cl17, zwei Seltenerdmetall-Clusterverbindungen mit interstitiellen C2-Gruppen. Z Anorg Allg Chem 1982. [DOI: 10.1002/zaac.19824910142] [Citation(s) in RCA: 68] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/06/2022]
|
25
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Jansen L, Block R. Effect of direct and indirect exchange interactions on geometries and binding energies of molecular complexes. The dimer (CL2)2. J Chem Phys 1981. [DOI: 10.1063/1.442128] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Calculation for the Ge2 molecule by the X ? -SW method. J STRUCT CHEM+ 1981. [DOI: 10.1007/bf00745186] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/26/2022]
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27
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Anderson AB. NiO Bulk properties: Initial-state molecular-orbital Ni4O4 and Ni13O14 cluster studies. Chem Phys Lett 1980. [DOI: 10.1016/0009-2614(80)80343-5] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/18/2022]
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Simonetta M, Gavezzotti A. The Cluster Approach in Theoretical Study of Chemisorption. ADVANCES IN QUANTUM CHEMISTRY 1980. [DOI: 10.1016/s0065-3276(08)60315-9] [Citation(s) in RCA: 41] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 12/27/2022]
|
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Anderson AB. Lattice constants and force constants for iron, nickel, and copper from orbital energies added to pairwise atomic repulsions in cluster models. Chem Phys Lett 1979. [DOI: 10.1016/0009-2614(79)80669-7] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/26/2022]
|
31
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The preparation of silver molecules Agn (n < 10) in Kr matrices and their ultraviolet-visible absorption spectra. Chem Phys 1978. [DOI: 10.1016/0301-0104(78)85203-3] [Citation(s) in RCA: 86] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/23/2022]
|
32
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Fink WH. The electronic density of bulk and surface site atoms of diamond from ab initio model calculations. J Chem Phys 1978. [DOI: 10.1063/1.436986] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
|
33
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Anderson AB. Structures and electronic properties of copper clusters and bulk; comments on Mulliken–Walsh diagrams and on criticisms of the extended Hückel procedure. J Chem Phys 1978. [DOI: 10.1063/1.435944] [Citation(s) in RCA: 69] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
|
34
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35
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36
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Anderson AB. Theory of ultraviolet spectra for Ni2 and Ni3 and hypothesis for argon matrix frequency shifts for Ni atoms. J Chem Phys 1977. [DOI: 10.1063/1.433768] [Citation(s) in RCA: 40] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
|
37
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Anderson AB. Comment on the local mode approximation for molecular vibrations. J Chem Phys 1977. [DOI: 10.1063/1.433685] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
|
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Anderson AB. Structural and orbital analysis of ethylene and acetylene on Ni(111) surfaces. J Chem Phys 1976. [DOI: 10.1063/1.433317] [Citation(s) in RCA: 33] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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39
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Anderson AB. Molecular orbitals and bonding in Ar2, Kr2, ArKr, (Cl2)2, ArHCl, and solid chlorine. J Chem Phys 1976. [DOI: 10.1063/1.432422] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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