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Luo XM, Li YK, Dong XY, Zang SQ. Platonic and Archimedean solids in discrete metal-containing clusters. Chem Soc Rev 2023; 52:383-444. [PMID: 36533405 DOI: 10.1039/d2cs00582d] [Citation(s) in RCA: 13] [Impact Index Per Article: 13.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/23/2022]
Abstract
Metal-containing clusters have attracted increasing attention over the past 2-3 decades. This intense interest can be attributed to the fact that these discrete metal aggregates, whose atomically precise structures are resolved by single-crystal X-ray diffraction (SCXRD), often possess intriguing geometrical features (high symmetry, aesthetically pleasing shapes and architectures) and fascinating physical properties, providing invaluable opportunities for the intersection of different disciplines including chemistry, physics, mathematical geometry and materials science. In this review, we attempt to reinterpret and connect these fascinating clusters from the perspective of Platonic and Archimedean solid characteristics, focusing on highly symmetrical and complex metal-containing (metal = Al, Ti, V, Mo, W, U, Mn, Fe, Co, Ni, Pd, Pt, Cu, Ag, Au, lanthanoids (Ln), and actinoids) high-nuclearity clusters, including metal-oxo/hydroxide/chalcogenide clusters and metal clusters (with metal-metal binding) protected by surface organic ligands, such as thiolate, phosphine, alkynyl, carbonyl and nitrogen/oxygen donor ligands. Furthermore, we present the symmetrical beauty of metal cluster structures and the geometrical similarity of different types of clusters and provide a large number of examples to show how to accurately describe the metal clusters from the perspective of highly symmetrical polyhedra. Finally, knowledge and further insights into the design and synthesis of unknown metal clusters are put forward by summarizing these "star" molecules.
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Affiliation(s)
- Xi-Ming Luo
- College of Chemistry, Zhengzhou University, Zhengzhou 450001, China.
| | - Ya-Ke Li
- College of Chemistry, Zhengzhou University, Zhengzhou 450001, China.
| | - Xi-Yan Dong
- College of Chemistry, Zhengzhou University, Zhengzhou 450001, China. .,College of Chemistry and Chemical Engineering, Henan Polytechnic University, Jiaozuo 454003, China
| | - Shuang-Quan Zang
- College of Chemistry, Zhengzhou University, Zhengzhou 450001, China.
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2
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Nekuruh S, Nehrkorn J, Prsa K, Dreiser J, Ako AM, Anson CE, Unruh T, Powell AK, Waldmann O. Multimodeling Approach to Ferromagnetic Spin-Wave Excitations in the High-Spin Cluster Mn 18Sr Observed by Inelastic Neutron Scattering. Inorg Chem 2019; 58:11256-11268. [PMID: 31385695 DOI: 10.1021/acs.inorgchem.9b02134] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Abstract
The magnetism of the mixed-valence high-spin cluster [Mn18SrO8(N3)7Cl(MedhmpH)12(MeCN)6]Cl2 (1) exhibiting intramolecular ferromagnetic interactions was studied using inelastic neutron scattering (INS), and reliable values for the exchange coupling constants were determined based on the quality of simultaneous fits to the INS and magnetic data. The challenge of the huge size of the Hilbert space (3 375 000) and many exchange coupling constants (7 assuming a C3 symmetry) generally encountered in large spin clusters was resolved as follows: (a) The results of the restricted Hilbert space ferromagnetic cluster spin wave theory were compared to the experimental spectroscopic data. The observed INS transitions were thus assigned to spin wave excitations in a bounded ferromagnetic spin cluster and moreover could be visualized in a straightforward way based on this theory. (b) Simultaneously, Quantum Monte Carlo (QMC) calculations of the temperature-dependent magnetic susceptibility with the same parameter set were compared to the experimental data. Application of state-of-the-art QMC algorithms, as available in the open source ALPS package, in ferromagnetic clusters avoids the full Hamiltonian diagonalization without sacrificing calculation accuracy of the magnetic susceptibility down to the lowest temperatures, which was crucial for the successful analysis. The combined fits revealed two exchange-coupling models with equally good overall agreement to the data. Our preferred model was inspired by magnetostructural correlations and is consistent with them. The model involves three different exchange interactions, one describing the interaction between the core MnIII spins Ja = 14.3(1.0) K and two interactions linking the core and the peripheral MnII spins: Jb = 8.3(4) K and J6 = 3.6(4) K. The use of open-source QMC software and our systematic approach to fitting multiple sets of data obtained by different experimental techniques are described in detail and are generally applicable for understanding large ferromagnetically coupled clusters.
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Affiliation(s)
- Siyavash Nekuruh
- Physikalisches Institut , Universität Freiburg , Hermann-Herder-Strasse 3 , 79104 Freiburg , Germany
| | - Joscha Nehrkorn
- Physikalisches Institut , Universität Freiburg , Hermann-Herder-Strasse 3 , 79104 Freiburg , Germany
| | - Krunoslav Prsa
- Physikalisches Institut , Universität Freiburg , Hermann-Herder-Strasse 3 , 79104 Freiburg , Germany
| | - Jan Dreiser
- Physikalisches Institut , Universität Freiburg , Hermann-Herder-Strasse 3 , 79104 Freiburg , Germany
| | - Ayuk M Ako
- Institute of Inorganic Chemistry , Karlsruhe Institute of Technology (KIT) , Engesserstrasse 15 , Geb. 30.45, D-76131 Karlsruhe , Germany
| | - Christopher E Anson
- Institute of Inorganic Chemistry , Karlsruhe Institute of Technology (KIT) , Engesserstrasse 15 , Geb. 30.45, D-76131 Karlsruhe , Germany
| | - Tobias Unruh
- Forschungsneutronenquelle Heinz Maier-Leibnitz, FRM II , Technische Universität München , D-85747 Garching , Germany
| | - Annie K Powell
- Institute of Inorganic Chemistry , Karlsruhe Institute of Technology (KIT) , Engesserstrasse 15 , Geb. 30.45, D-76131 Karlsruhe , Germany.,Institute for Nanotechnology , Karlsruhe Institute of Technology (KIT) , Hermann-von-Helmholtz-Platz 1 , D-76037 Eggenstein-Leopoldshafen , Germany
| | - Oliver Waldmann
- Physikalisches Institut , Universität Freiburg , Hermann-Herder-Strasse 3 , 79104 Freiburg , Germany
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Prša K, Waldmann O. Inelastic Neutron Scattering Intensities of Ferromagnetic Cluster Spin Waves. Eur J Inorg Chem 2019. [DOI: 10.1002/ejic.201801170] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/12/2022]
Affiliation(s)
- Krunoslav Prša
- Physikalisches Institut Universität Freiburg 79104 Freiburg Germany
| | - Oliver Waldmann
- Physikalisches Institut Universität Freiburg 79104 Freiburg Germany
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4
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Multicomponent halide templating: The effect of structure-directing agents on the assembly of molecular and extended coordination compounds. Coord Chem Rev 2018. [DOI: 10.1016/j.ccr.2018.05.014] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/24/2022]
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Ferromagnetic Cluster Spin Wave Theory: Concepts and Applications to Magnetic Molecules. INORGANICS 2018. [DOI: 10.3390/inorganics6020049] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/16/2022] Open
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6
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The bridging azido ligand as a central “player” in high-nuclearity 3d-metal cluster chemistry. Coord Chem Rev 2014. [DOI: 10.1016/j.ccr.2014.04.001] [Citation(s) in RCA: 143] [Impact Index Per Article: 14.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/19/2022]
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Pedersen KS, Sigrist M, Weihe H, Bond AD, Thuesen CA, Simonsen KP, Birk T, Mutka H, Barra AL, Bendix J. Magnetic Interactions through Fluoride: Magnetic and Spectroscopic Characterization of Discrete, Linearly Bridged [MnIII2(μ-F)F4(Me3tacn)2](PF6). Inorg Chem 2014; 53:5013-9. [DOI: 10.1021/ic500049w] [Citation(s) in RCA: 14] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/01/2023]
Affiliation(s)
- Kasper S. Pedersen
- Department of Chemistry, University of Copenhagen, Universitetsparken 5, DK-2100 Copenhagen, Denmark
| | - Marc Sigrist
- Department of Chemistry, University of Copenhagen, Universitetsparken 5, DK-2100 Copenhagen, Denmark
- Institut Laue-Langevin, F-38042 Grenoble Cedex 9, France
| | - Høgni Weihe
- Department of Chemistry, University of Copenhagen, Universitetsparken 5, DK-2100 Copenhagen, Denmark
| | - Andrew D. Bond
- Department
of Physics and Chemistry, University of Southern Denmark, Campusvej
55, 5230 Odense
M, Denmark
| | - Christian Aa. Thuesen
- Department of Chemistry, University of Copenhagen, Universitetsparken 5, DK-2100 Copenhagen, Denmark
| | - Kim P. Simonsen
- School of Conservation, The Royal Academy of Fine Arts Schools of Architecture, Design and Conservation, Esplanaden
34, DK-1263 Copenhagen, Denmark
| | - Torben Birk
- Department of Chemistry, University of Copenhagen, Universitetsparken 5, DK-2100 Copenhagen, Denmark
| | - Hannu Mutka
- Institut Laue-Langevin, F-38042 Grenoble Cedex 9, France
| | - Anne-Laure Barra
- Laboratoire National des Champs Magnétiques
Intenses, CNRS, BP 166, F-38042 Grenoble Cedex 9, France
| | - Jesper Bendix
- Department of Chemistry, University of Copenhagen, Universitetsparken 5, DK-2100 Copenhagen, Denmark
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Milios CJ, Winpenny REP. Cluster-Based Single-Molecule Magnets. MOLECULAR NANOMAGNETS AND RELATED PHENOMENA 2014. [DOI: 10.1007/430_2014_149] [Citation(s) in RCA: 30] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 12/15/2022]
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Zartilas S, Papatriantafyllopoulou C, Stamatatos TC, Nastopoulos V, Cremades E, Ruiz E, Christou G, Lampropoulos C, Tasiopoulos AJ. A MnII6MnIII6 Single-Strand Molecular Wheel with a Reuleaux Triangular Topology: Synthesis, Structure, Magnetism, and DFT Studies. Inorg Chem 2013; 52:12070-9. [DOI: 10.1021/ic401872c] [Citation(s) in RCA: 17] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/15/2022]
Affiliation(s)
- Sotiris Zartilas
- Department of Chemistry, University of Cyprus, 1678 Nicosia, Cyprus
| | | | | | | | - Eduard Cremades
- Department de Química Inorgànica
and Institut de Recerca de Química Teòrica i Computacional, Universitat de Barcelona, Diagonal 645, 08028 Barcelona, Spain
| | - Eliseo Ruiz
- Department de Química Inorgànica
and Institut de Recerca de Química Teòrica i Computacional, Universitat de Barcelona, Diagonal 645, 08028 Barcelona, Spain
| | - George Christou
- Department of Chemistry, University of Florida, Gainesville, Florida 32611, United States
| | - Christos Lampropoulos
- Department of Chemistry, University of Cyprus, 1678 Nicosia, Cyprus
- Department of Chemistry, University of North Florida, Jacksonville, Florida 32224, United States
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Chibotaru LF. Ab InitioMethodology for Pseudospin Hamiltonians of Anisotropic Magnetic Complexes. ADVANCES IN CHEMICAL PHYSICS 2013. [DOI: 10.1002/9781118571767.ch6] [Citation(s) in RCA: 29] [Impact Index Per Article: 2.6] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 12/03/2022]
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