{"title":"InnM(M = Mn、Fe、Co、Ni,n = 6-9)团簇的全局最低能量结构和电子特性","authors":"Na Liu, Xin Liu, Hongshan Chen","doi":"10.1140/epjd/s10053-024-00903-w","DOIUrl":null,"url":null,"abstract":"<div><p>The global lowest-energy structures of the transition metal (TM) doped In<sub>n</sub>M (M = Mn, Fe, Co, Ni, n = 6–9) clusters are studied by using genetic algorithm combined with spin-polarized density functional theories. The low energy structures suggest that the basic building units of In<sub>n</sub>M in this size range are TM doped triangular prism and octahedron. For the lowest energy isomers, the TM atoms are endohedrally doped in In<sub>8</sub>Co/Ni and In<sub>9</sub>Fe and exohedrally doped in other clusters. Charge density analysis shows that Mn atom offers electron to the In<sub>n</sub> frames but Co and Ni accept electrons. The spin multiplicities of the lowest energy structures are the same with those of the TM atoms for the exohedrally doped In<sub>n</sub>M clusters for n = 6, 8, and the values are smaller by one for the endohedrally doped clusters. The molecular orbitals and density of states reveal that the 4s<sup>2</sup> electrons of the TM atoms and the 5s<sup>2</sup>5p valence electrons of the In atoms form superatomic orbitals consistent with the jellium model, but the 3d orbitals of the TM interact with the superatomic orbitals in different manners and are generally singly occupied.</p><h3>Graphical Abstract</h3>\n<div><figure><div><div><picture><source><img></source></picture></div></div></figure></div></div>","PeriodicalId":789,"journal":{"name":"The European Physical Journal D","volume":"78 9","pages":""},"PeriodicalIF":1.5000,"publicationDate":"2024-09-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Global lowest energy structures and electronic properties of InnM (M = Mn, Fe, Co, Ni, n = 6–9) clusters\",\"authors\":\"Na Liu, Xin Liu, Hongshan Chen\",\"doi\":\"10.1140/epjd/s10053-024-00903-w\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>The global lowest-energy structures of the transition metal (TM) doped In<sub>n</sub>M (M = Mn, Fe, Co, Ni, n = 6–9) clusters are studied by using genetic algorithm combined with spin-polarized density functional theories. The low energy structures suggest that the basic building units of In<sub>n</sub>M in this size range are TM doped triangular prism and octahedron. For the lowest energy isomers, the TM atoms are endohedrally doped in In<sub>8</sub>Co/Ni and In<sub>9</sub>Fe and exohedrally doped in other clusters. Charge density analysis shows that Mn atom offers electron to the In<sub>n</sub> frames but Co and Ni accept electrons. The spin multiplicities of the lowest energy structures are the same with those of the TM atoms for the exohedrally doped In<sub>n</sub>M clusters for n = 6, 8, and the values are smaller by one for the endohedrally doped clusters. The molecular orbitals and density of states reveal that the 4s<sup>2</sup> electrons of the TM atoms and the 5s<sup>2</sup>5p valence electrons of the In atoms form superatomic orbitals consistent with the jellium model, but the 3d orbitals of the TM interact with the superatomic orbitals in different manners and are generally singly occupied.</p><h3>Graphical Abstract</h3>\\n<div><figure><div><div><picture><source><img></source></picture></div></div></figure></div></div>\",\"PeriodicalId\":789,\"journal\":{\"name\":\"The European Physical Journal D\",\"volume\":\"78 9\",\"pages\":\"\"},\"PeriodicalIF\":1.5000,\"publicationDate\":\"2024-09-16\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"The European Physical Journal D\",\"FirstCategoryId\":\"4\",\"ListUrlMain\":\"https://link.springer.com/article/10.1140/epjd/s10053-024-00903-w\",\"RegionNum\":4,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"OPTICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"The European Physical Journal D","FirstCategoryId":"4","ListUrlMain":"https://link.springer.com/article/10.1140/epjd/s10053-024-00903-w","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"OPTICS","Score":null,"Total":0}
引用次数: 0
摘要
利用遗传算法结合自旋极化密度泛函理论,研究了掺杂过渡金属(TM)的 InnM(M = Mn、Fe、Co、Ni,n = 6-9)团簇的全局最低能结构。低能结构表明,InnM 在此尺寸范围内的基本构建单位是掺杂 TM 的三角棱柱和八面体。对于能量最低的异构体,TM 原子在 In8Co/Ni 和 In9Fe 中为内掺杂,而在其他簇中为外掺杂。电荷密度分析表明,锰原子向 Inn 框架提供电子,而 Co 和 Ni 则接受电子。在 n = 6、8 时,外掺杂 InnM 簇最低能量结构的自旋倍率与 TM 原子的自旋倍率相同,而内掺杂簇的自旋倍率值则小一个。分子轨道和状态密度显示,TM 原子的 4s2 电子和 In 原子的 5s25p 价电子形成的超原子轨道与啫喱模型一致,但 TM 的 3d 轨道与超原子轨道的相互作用方式不同,通常是单占据。
Global lowest energy structures and electronic properties of InnM (M = Mn, Fe, Co, Ni, n = 6–9) clusters
The global lowest-energy structures of the transition metal (TM) doped InnM (M = Mn, Fe, Co, Ni, n = 6–9) clusters are studied by using genetic algorithm combined with spin-polarized density functional theories. The low energy structures suggest that the basic building units of InnM in this size range are TM doped triangular prism and octahedron. For the lowest energy isomers, the TM atoms are endohedrally doped in In8Co/Ni and In9Fe and exohedrally doped in other clusters. Charge density analysis shows that Mn atom offers electron to the Inn frames but Co and Ni accept electrons. The spin multiplicities of the lowest energy structures are the same with those of the TM atoms for the exohedrally doped InnM clusters for n = 6, 8, and the values are smaller by one for the endohedrally doped clusters. The molecular orbitals and density of states reveal that the 4s2 electrons of the TM atoms and the 5s25p valence electrons of the In atoms form superatomic orbitals consistent with the jellium model, but the 3d orbitals of the TM interact with the superatomic orbitals in different manners and are generally singly occupied.
期刊介绍:
The European Physical Journal D (EPJ D) presents new and original research results in:
Atomic Physics;
Molecular Physics and Chemical Physics;
Atomic and Molecular Collisions;
Clusters and Nanostructures;
Plasma Physics;
Laser Cooling and Quantum Gas;
Nonlinear Dynamics;
Optical Physics;
Quantum Optics and Quantum Information;
Ultraintense and Ultrashort Laser Fields.
The range of topics covered in these areas is extensive, from Molecular Interaction and Reactivity to Spectroscopy and Thermodynamics of Clusters, from Atomic Optics to Bose-Einstein Condensation to Femtochemistry.