<p>We investigate the orbital anisotropy of a newly synthesized vanadium compound <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\({\text{CsV}}_{2}{\text{Se}}_{2}\text{O}\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <msub> <mtext>CsV</mtext> <mn>2</mn> </msub> <msub> <mtext>Se</mtext> <mn>2</mn> </msub> <mtext>O</mtext> </mrow> </math></EquationSource> </InlineEquation> using the V <InlineEquation ID="IEq3"> <EquationSource Format="TEX">\({L}_{\text{2,3}}\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>L</mi> <mtext>2,3</mtext> </msub> </math></EquationSource> </InlineEquation>-edge polarization-dependent X-ray absorption spectroscopy (XAS) with the full-multiplet cluster model calculations. <InlineEquation ID="IEq4"> <EquationSource Format="TEX">\({\text{CsV}}_{2}{\text{Se}}_{2}\text{O}\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <msub> <mtext>CsV</mtext> <mn>2</mn> </msub> <msub> <mtext>Se</mtext> <mn>2</mn> </msub> <mtext>O</mtext> </mrow> </math></EquationSource> </InlineEquation> consists of two distinguishable V sites denoted ‘A’ and ‘B’ sublattices, each forming a <InlineEquation ID="IEq5"> <EquationSource Format="TEX">\({\text{VSe}}_{4}{\text{O}}_{2}\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <msub> <mtext>VSe</mtext> <mn>4</mn> </msub> <msub> <mtext>O</mtext> <mn>2</mn> </msub> </mrow> </math></EquationSource> </InlineEquation> mixed-ligand octahedron. The polarization-dependent XAS exhibits anisotropic V 3<i>d</i> orbital characteristics, and the corresponding linear dichroism (LD) spectrum is successfully reproduced by the model calculations under an octahedral crystal field distorted by additional <InlineEquation ID="IEq6"> <EquationSource Format="TEX">\({\Delta }_{{D}_{4\text{h}}}=0.51\text{ eV}\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <msub> <mi mathvariant="normal">Δ</mi> <msub> <mi>D</mi> <mrow> <mn>4</mn> <mtext>h</mtext> </mrow> </msub> </msub> <mo>=</mo> <mn>0.51</mn> <mspace width="0.333333em" /> <mtext>eV</mtext> </mrow> </math></EquationSource> </InlineEquation> tetragonal and <InlineEquation ID="IEq7"> <EquationSource Format="TEX">\({\Delta }_{{D}_{2\text{h}}}=45\text{ meV}\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <msub> <mi mathvariant="normal">Δ</mi> <msub> <mi>D</mi> <mrow> <mn>2</mn> <mtext>h</mtext> </mrow> </msub> </msub> <mo>=</mo> <mn>45</mn> <mspace width="0.333333em" /> <mtext>meV</mtext> </mrow> </math></EquationSource> </InlineEquation> orthorhombic splittings. The analysis results enable us to identify the orbital states of the A and B sublattices which are dominated by <InlineEquation ID="IEq8"> <EquationSource Format="TEX">\({d}_{{z}^{2}-{x}^{2}}\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>d</mi> <mrow> <msup> <mrow> <mi>z</mi> </mrow> <mn>2</mn> </msup> <mo>-</mo> <msup> <mrow> <mi>x</mi> </mrow> <mn>2</mn> </msup> </mrow> </msub> </math></EquationSource> </InlineEquation> and <InlineEquation ID="IEq9"> <EquationSource Format="TEX">\({d}_{yz}\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>d</mi> <mrow> <mi mathvariant="italic">yz</mi> </mrow> </msub> </math></EquationSource> </InlineEquation> orbitals and by <InlineEquation ID="IEq10"> <EquationSource Format="TEX">\({d}_{{y}^{2}-{z}^{2}}\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>d</mi> <mrow> <msup> <mrow> <mi>y</mi> </mrow> <mn>2</mn> </msup> <mo>-</mo> <msup> <mrow> <mi>z</mi> </mrow> <mn>2</mn> </msup> </mrow> </msub> </math></EquationSource> </InlineEquation> and <InlineEquation ID="IEq11"> <EquationSource Format="TEX">\({d}_{zx}\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>d</mi> <mrow> <mi mathvariant="italic">zx</mi> </mrow> </msub> </math></EquationSource> </InlineEquation> orbitals, respectively.</p>

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Orbital anisotropy in a mixed-ligand system \({\text{CsV}}_{2}{\text{Se}}_{2}\text{O}\)

  • Sudong Park,
  • Choong-Jae Won,
  • Woo-Suk Noh,
  • Jae-Hoon Park

摘要

We investigate the orbital anisotropy of a newly synthesized vanadium compound \({\text{CsV}}_{2}{\text{Se}}_{2}\text{O}\) CsV 2 Se 2 O using the V \({L}_{\text{2,3}}\) L 2,3 -edge polarization-dependent X-ray absorption spectroscopy (XAS) with the full-multiplet cluster model calculations. \({\text{CsV}}_{2}{\text{Se}}_{2}\text{O}\) CsV 2 Se 2 O consists of two distinguishable V sites denoted ‘A’ and ‘B’ sublattices, each forming a \({\text{VSe}}_{4}{\text{O}}_{2}\) VSe 4 O 2 mixed-ligand octahedron. The polarization-dependent XAS exhibits anisotropic V 3d orbital characteristics, and the corresponding linear dichroism (LD) spectrum is successfully reproduced by the model calculations under an octahedral crystal field distorted by additional \({\Delta }_{{D}_{4\text{h}}}=0.51\text{ eV}\) Δ D 4 h = 0.51 eV tetragonal and \({\Delta }_{{D}_{2\text{h}}}=45\text{ meV}\) Δ D 2 h = 45 meV orthorhombic splittings. The analysis results enable us to identify the orbital states of the A and B sublattices which are dominated by \({d}_{{z}^{2}-{x}^{2}}\) d z 2 - x 2 and \({d}_{yz}\) d yz orbitals and by \({d}_{{y}^{2}-{z}^{2}}\) d y 2 - z 2 and \({d}_{zx}\) d zx orbitals, respectively.