Observation of the asphericity of 4f-electron density and its relation to the magnetic anisotropy axis in single-molecule magnets

The distribution of electrons in the 4f orbitals of lanthanide ions is often assigned a crucial role in the design of single-molecule magnets, which maintain magnetization in zero external field. Optimal spatial complementarity between the 4f-electron density and the ligand field is key to maximizin...

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Published in:Nature chemistry Vol. 12; no. 2; pp. 213 - 219
Main Authors: Gao, Chen, Genoni, Alessandro, Gao, Song, Jiang, Shangda, Soncini, Alessandro, Overgaard, Jacob
Format: Journal Article
Language:English
Published: England Nature Publishing Group 01.02.2020
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ISSN:1755-4330, 1755-4349, 1755-4349
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Abstract The distribution of electrons in the 4f orbitals of lanthanide ions is often assigned a crucial role in the design of single-molecule magnets, which maintain magnetization in zero external field. Optimal spatial complementarity between the 4f-electron density and the ligand field is key to maximizing magnetic anisotropy, which is an important factor in the ability of lanthanide complexes to display single-molecule magnet behaviour. Here we have experimentally determined the electron density distribution in two dysprosium molecular complexes by interpreting high-resolution synchrotron X-ray diffraction with a multipole model. The ground-state 4f-electron density is found to be an oblate ellipsoid, as is often deduced from a simplified Sievers model that assumes a pure |±15/2> ground-state doublet for the lanthanide ion. The large equatorial asymmetry-determined by a model wavefunction-was found to contain considerable M mixing of |±11/2> and only 81% of |±15/2>. The experimental molecular magnetic easy axes were recovered, and found to deviate by 13.1° and 8.7° from those obtained by ab initio calculations.
AbstractList The distribution of electrons in the 4f orbitals of lanthanide ions is often assigned a crucial role in the design of single-molecule magnets, which maintain magnetization in zero external field. Optimal spatial complementarity between the 4f-electron density and the ligand field is key to maximizing magnetic anisotropy, which is an important factor in the ability of lanthanide complexes to display single-molecule magnet behaviour. Here we have experimentally determined the electron density distribution in two dysprosium molecular complexes by interpreting high-resolution synchrotron X-ray diffraction with a multipole model. The ground-state 4f-electron density is found to be an oblate ellipsoid, as is often deduced from a simplified Sievers model that assumes a pure |±15/2> ground-state doublet for the lanthanide ion. The large equatorial asymmetry—determined by a model wavefunction—was found to contain considerable MJ mixing of |±11/2> and only 81% of |±15/2>. The experimental molecular magnetic easy axes were recovered, and found to deviate by 13.1° and 8.7° from those obtained by ab initio calculations.Gaining a better understanding of the complex electronic structure of single-molecule magnets is essential for their design and development. The 4f-electron density distribution of a dysprosium single-molecule magnet has now been experimentally determined using synchrotron diffraction data interpreted with a multipole model. The magnetic easy axes were recovered by analysis of the 4f-electron density shape, which is clearly oblate.
The distribution of electrons in the 4f orbitals of lanthanide ions is often assigned a crucial role in the design of single-molecule magnets, which maintain magnetization in zero external field. Optimal spatial complementarity between the 4f-electron density and the ligand field is key to maximizing magnetic anisotropy, which is an important factor in the ability of lanthanide complexes to display single-molecule magnet behaviour. Here we have experimentally determined the electron density distribution in two dysprosium molecular complexes by interpreting high-resolution synchrotron X-ray diffraction with a multipole model. The ground-state 4f-electron density is found to be an oblate ellipsoid, as is often deduced from a simplified Sievers model that assumes a pure |±15/2> ground-state doublet for the lanthanide ion. The large equatorial asymmetry-determined by a model wavefunction-was found to contain considerable MJ mixing of |±11/2> and only 81% of |±15/2>. The experimental molecular magnetic easy axes were recovered, and found to deviate by 13.1° and 8.7° from those obtained by ab initio calculations.The distribution of electrons in the 4f orbitals of lanthanide ions is often assigned a crucial role in the design of single-molecule magnets, which maintain magnetization in zero external field. Optimal spatial complementarity between the 4f-electron density and the ligand field is key to maximizing magnetic anisotropy, which is an important factor in the ability of lanthanide complexes to display single-molecule magnet behaviour. Here we have experimentally determined the electron density distribution in two dysprosium molecular complexes by interpreting high-resolution synchrotron X-ray diffraction with a multipole model. The ground-state 4f-electron density is found to be an oblate ellipsoid, as is often deduced from a simplified Sievers model that assumes a pure |±15/2> ground-state doublet for the lanthanide ion. The large equatorial asymmetry-determined by a model wavefunction-was found to contain considerable MJ mixing of |±11/2> and only 81% of |±15/2>. The experimental molecular magnetic easy axes were recovered, and found to deviate by 13.1° and 8.7° from those obtained by ab initio calculations.
The distribution of electrons in the 4f orbitals of lanthanide ions is often assigned a crucial role in the design of single-molecule magnets, which maintain magnetization in zero external field. Optimal spatial complementarity between the 4f-electron density and the ligand field is key to maximizing magnetic anisotropy, which is an important factor in the ability of lanthanide complexes to display single-molecule magnet behaviour. Here we have experimentally determined the electron density distribution in two dysprosium molecular complexes by interpreting high-resolution synchrotron X-ray diffraction with a multipole model. The ground-state 4f-electron density is found to be an oblate ellipsoid, as is often deduced from a simplified Sievers model that assumes a pure |±15/2> ground-state doublet for the lanthanide ion. The large equatorial asymmetry-determined by a model wavefunction-was found to contain considerable M mixing of |±11/2> and only 81% of |±15/2>. The experimental molecular magnetic easy axes were recovered, and found to deviate by 13.1° and 8.7° from those obtained by ab initio calculations.
Author Jiang, Shangda
Genoni, Alessandro
Soncini, Alessandro
Gao, Song
Overgaard, Jacob
Gao, Chen
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  givenname: Chen
  surname: Gao
  fullname: Gao, Chen
  organization: Department of Chemistry and CMC, Aarhus University, Aarhus, Denmark
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  orcidid: 0000-0002-3511-4855
  surname: Genoni
  fullname: Genoni, Alessandro
  organization: Laboratoire de Physique et Chimie Théoriques, Université de Lorraine, CNRS, Metz, France
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  givenname: Song
  orcidid: 0000-0002-0039-6346
  surname: Gao
  fullname: Gao, Song
  organization: School of Chemistry and Chemical Engineering, South China University of Technology, Guangzhou, China
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  givenname: Shangda
  orcidid: 0000-0003-0204-9601
  surname: Jiang
  fullname: Jiang, Shangda
  email: jiangsd@pku.edu.cn
  organization: Beijing National Laboratory of Molecular Science, Beijing Key Laboratory of Magnetoelectric Materials and Devices, College of Chemistry and Molecular Engineering, Peking University, Beijing, China. jiangsd@pku.edu.cn
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  surname: Soncini
  fullname: Soncini, Alessandro
  email: asoncini@unimelb.edu.au
  organization: School of Chemistry, University of Melbourne, Melbourne, Victoria, Australia. asoncini@unimelb.edu.au
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  givenname: Jacob
  orcidid: 0000-0001-6492-7962
  surname: Overgaard
  fullname: Overgaard, Jacob
  email: jacobo@chem.au.dk
  organization: Department of Chemistry and CMC, Aarhus University, Aarhus, Denmark. jacobo@chem.au.dk
BackLink https://www.ncbi.nlm.nih.gov/pubmed/31844195$$D View this record in MEDLINE/PubMed
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Snippet The distribution of electrons in the 4f orbitals of lanthanide ions is often assigned a crucial role in the design of single-molecule magnets, which maintain...
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StartPage 213
SubjectTerms Anisotropy
Asphericity
Axes (reference lines)
Complementarity
Density distribution
Dysprosium
Electron density
Electronic structure
Electrons
Magnetic anisotropy
Magnets
Molecular structure
Multipoles
Optimization
Synchrotron radiation
Wave functions
X-ray diffraction
Title Observation of the asphericity of 4f-electron density and its relation to the magnetic anisotropy axis in single-molecule magnets
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