# CoVO3 High-Pressure Polymorphs: To Order or Not to Order?

Elena Solana Madruga, Olivier Mentre, Alexander A. Tsirlin, Marielle Huvé, D. Khalyavin, Clemens Ritter, Angel Arevalo Lopez

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Elena Solana Madruga, Olivier Mentre, Alexander A. Tsirlin, Marielle Huvé, D. Khalyavin, et al. CoVO3 High-Pressure Polymorphs: To Order or Not to Order?. Advanced Science, 2023, Advanced Science, 10.1002/advs.202307766. [https://doi.org/10.1002/advs.202307766](https://doi.org/10.1002/advs.202307766)

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# CoVO3 High-Pressure Polymorphs: To Order or Not to Order?

Elena Solana Madruga, Olivier Mentre, Alexander A. Tsirlin, Marielle Huvé, D. Khalyavin, Clemens Ritter, Angel Arevalo Lopez

► To cite this version:

Elena Solana Madruga, Olivier Mentre, Alexander A. Tsirlin, Marielle Huvé, D. Khalyavin, et al. CoVO3 High-Pressure Polymorphs: To Order or Not to Order?. Advanced Science, 2023, Advanced Science, 10.1002/advs.202307766. [https://lilloa.hal.science/hal-04443916v1](https://lilloa.hal.science/hal-04443916v1)

HAL Id: hal-04443916

https://lilloa.hal.science/hal-04443916v1

Submitted on 7 Feb 2024

HAL is a multi-disciplinary open access
archive for the deposit and dissemination of sci-
entific research documents, whether they are pub-
lished or not. The documents may come from
teaching and research institutions in France or
abroad, or from public or private research centers.

L'archive ouverte pluridisciplinaire HAL, est
destinée au dépôt et à la diffusion de documents
scientifiques de niveau recherche, publiés ou non,
émanant des établissements d'enseignement et de
recherche français ou étrangers, des laboratoires
publics ou privés.

<figure><img src="image_1.png" /></figure>
<figure><img src="image_2.png" /></figure>

# CoVO₃ High-Pressure Polymorphs: To Order or Not to Order?

Elena Solana-Madruga,* Olivier Mentré, Alexander A. Tsirlin, Marielle Huvé, Dmitry Khalyavin, Clemens Ritter, and Angel Moisés Arévalo-López*

Materials properties are determined by their compositions and structures. In ABO₃ oxides different cation orderings lead to mainly perovskite- or corundum like derivatives with exciting physical properties. Sometimes, a material can be stabilized in more than one structural modification, providing a unique opportunity to explore structure-properties relationship. Here, CoVO₃ obtained in both ilmenite-(CoVO₃-I) and LiNbO₃-type (CoVO₃-II) polymorphs at moderate (8–12 GPa) and high pressures (22 GPa), respectively are presented. Their distinctive cation distributions affect drastically the magnetic properties as CoVO₃-II shows a cluster-glass behavior while CoVO₃-I hosts a honeycomb zigzag magnetic structure in the cobalt network. First principles calculations show that the influence of vanadium is crucial for CoVO₃-I, although it is previously considered as non-magnetic in a dimerized spin-singlet state. Contrarily, CoVO₃-II shows two independent interpenetrating antiferromagnetic Co- and ferromagnetic V-hcp sublattices, which intrinsically frustrate any possible magnetic order. CoVO₃-II is also remarkable as the first oxide crystallizing with the LiNbO₃-type structure where both metals contain free *d* electrons. CoVO₃ polymorphs pinpoint therefore as well to a much broader phase field of high-pressure A-site Cobaltites.

LiNbO₃-type (LN) structure is related to that of ideal perovskite and predicted that a phase transition in between them could take place with temperature.[1] In the field of earth- and high-pressure science, LN-type compounds are considered to be decompression products of high-pressure perovskite-phases, as such several LN-type oxides like MnMO₃ (M = Ti, Sn), FeMO₃ (M = Ti, Ge), MgMO₃ (M = Ti, Ge), ZnGeO₃ and CuTaO₃ have been reported as metastable quenched phases.[2–7]

In the last decade, high-pressure and high-temperature synthesis conditions (HP-HT) provided access to a large family of compounds, where the A site can be occupied by a small cation as Mn²⁺.[8,9] Accordingly, simple MnVO₃ can be obtained in a lower pressure (<3.5 GPa) distorted ilmenite-type and a higher-pressure (>4 GPa) perovskite-type polymorph,[10–12] whereas MnTiO₃ recoils from a perovskite- to a LN-type structure under decompression.[13,14] Following the same idea other small A cations can be squeezed into these structures as shown

by the LN-type FeTiO₃ with multiferroic properties.[15] Very recently, CoVO₃-I was obtained at 8 GPa in an ilmenite phase distorted due to V–V dimerization and exhibiting an antiferromagnetic transition at low temperature.[16]

## 1. Introduction

Polymorphism in ABO₃ oxides often yields to perovskite and corundum-related structures. Megaw first showed that the

E. Solana-Madruga, O. Mentré, M. Huvé, A. M. Arévalo-López
UMR-8181-UCCS-Unité de Catalyse et Chimie du Solide
Univ. Lille
CNRS
Centrale Lille
ENSCL
Univ. Artois
Lille F-59000, France
E-mail: elsolana@ucm.es; angel.arevalo-lopez@univ-lille.fr

E. Solana-Madruga
Dpto. Química Inorgánica
Universidad Complutense de Madrid
Avda. Complutense sn, Madrid 28040, Spain
A. A. Tsirlin
Felix Bloch Institute for Solid-State Physics
Leipzig University
04103 Leipzig, Germany
D. Khalyavin
ISIS Facility
Rutherford Appleton Laboratory
Harwell, Didcot, Oxford OX11 0QX, UK
C. Ritter
Institut Laue-Langevin
71 Avenue des Martyrs, Cedex, Grenoble 32042, France

The ORCID identification number(s) for the author(s) of this article can be found under https://doi.org/10.1002/advs.202307766

© 2023 The Authors. Advanced Science published by Wiley-VCH GmbH. This is an open access article under the terms of the Creative Commons Attribution License, which permits use, distribution and reproduction in any medium, provided the original work is properly cited.

DOI: 10.1002/advs.202307766
<figure><img src="image_2.png" /></figure>

# CoVO₃ High-Pressure Polymorphs: To Order or Not to Order?

Elena Solana-Madruga,* Olivier Mentré, Alexander A. Tsirlin, Marielle Huvé, Dmitry Khalyavin, Clemens Ritter, and Angel Moisés Arévalo-López*

Materials properties are determined by their compositions and structures. In ABO₃ oxides different cation orderings lead to mainly perovskite- or corundum like derivatives with exciting physical properties. Sometimes, a material can be stabilized in more than one structural modification, providing a unique opportunity to explore structure-properties relationship. Here, CoVO₃ obtained in both ilmenite-(CoVO₃-I) and LiNbO₃-type (CoVO₃-II) polymorphs at moderate (8–12 GPa) and high pressures (22 GPa), respectively are presented. Their distinctive cation distributions affect drastically the magnetic properties as CoVO₃-II shows a cluster-glass behavior while CoVO₃-I hosts a honeycomb zigzag magnetic structure in the cobalt network. First principles calculations show that the influence of vanadium is crucial for CoVO₃-I, although it is previously considered as non-magnetic in a dimerized spin-singlet state. Contrarily, CoVO₃-II shows two independent interpenetrating antiferromagnetic Co- and ferromagnetic V-hcp sublattices, which intrinsically frustrate any possible magnetic order. CoVO₃-II is also remarkable as the first oxide crystallizing with the LiNbO₃-type structure where both metals contain free *d* electrons. CoVO₃ polymorphs pinpoint therefore as well to a much broader phase field of high-pressure A-site Cobaltites.

LiNbO₃-type (LN) structure is related to that of ideal perovskite and predicted that a phase transition in between them could take place with temperature.[1] In the field of earth- and high-pressure science, LN-type compounds are considered to be decompression products of high-pressure perovskite-phases, as such several LN-type oxides like MnMO₃ (M = Ti, Sn), FeMO₃ (M = Ti, Ge), MgMO₃ (M = Ti, Ge), ZnGeO₃ and CuTaO₃ have been reported as metastable quenched phases.[2–7]

In the last decade, high-pressure and high-temperature synthesis conditions (HP-HT) provided access to a large family of compounds, where the A site can be occupied by a small cation as Mn²⁺.[8,9] Accordingly, simple MnVO₃ can be obtained in a lower pressure (<3.5 GPa) distorted ilmenite-type and a higher-pressure (>4 GPa) perovskite-type polymorph,[10–12] whereas MnTiO₃ recoils from a perovskite- to a LN-type structure under decompression.[13,14] Following the same idea other small A cations can be squeezed into these structures as shown

by the LN-type FeTiO₃ with multiferroic properties.[15] Very recently, CoVO₃-I was obtained at 8 GPa in an ilmenite phase distorted due to V–V dimerization and exhibiting an antiferromagnetic transition at low temperature.[16]

## 1. Introduction

Polymorphism in ABO₃ oxides often yields to perovskite and corundum-related structures. Megaw first showed that the

E. Solana-Madruga, O. Mentré, M. Huvé, A. M. Arévalo-López
UMR-8181-UCCS-Unité de Catalyse et Chimie du Solide
Univ. Lille
CNRS
Centrale Lille
ENSCL
Univ. Artois
Lille F-59000, France
E-mail: elsolana@ucm.es; angel.arevalo-lopez@univ-lille.fr

E. Solana-Madruga
Dpto. Química Inorgánica
Universidad Complutense de Madrid
Avda. Complutense sn, Madrid 28040, Spain
A. A. Tsirlin
Felix Bloch Institute for Solid-State Physics
Leipzig University
04103 Leipzig, Germany
D. Khalyavin
ISIS Facility
Rutherford Appleton Laboratory
Harwell, Didcot, Oxford OX11 0QX, UK
C. Ritter
Institut Laue-Langevin
71 Avenue des Martyrs, Cedex, Grenoble 32042, France

The ORCID identification number(s) for the author(s) of this article can be found under https://doi.org/10.1002/advs.202307766

© 2023 The Authors. Advanced Science published by Wiley-VCH GmbH. This is an open access article under the terms of the Creative Commons Attribution License, which permits use, distribution and reproduction in any medium, provided the original work is properly cited.

DOI: 10.1002/advs.202307766
<figure><img src="image_3.png" /><figcaption>**Figure 1.** a) “CoO+VO₂” transformation diagram. b) Comparison of both CoVO₃ polymorphs in the rhombohedral setting.</figcaption></figure>

This sets a challenge of obtaining a higher-pressure poly-
morph in either a perovskite- or a LN-type structure. Here, we
report the synthesis of CoVO₃-II, the first LN-type oxide with
both magnetic cations, and a comparison of its magnetic prop-
erties against those of its low-pressure polymorph. The discovery
of both polymorphs suggests that a broad range of novel A-site
cobaltites may be accessible at HP-HT conditions.

**2. Results and Discussion**

We examined the behavior of a mixture of CoO and VO₂ at HP-HT conditions in a multianvil apparatus and studied the recovered samples *ex situ*. The “CoO + VO₂” transformation diagram shown in **Figure 1a** summarizes the conditions used to obtain the different CoVO₃ polymorphs. In the 8–12 GPa pressure range, CoVO₃-I crystallizes in a distorted ilmenite structure with *a* = 4.9999(4) Å, *b* = 5.4353(4) Å, *c* = 4.9463(5) Å, *α* = 90.10(1) °, *β* = 119.79(1) °, and *γ* = 63.40(1) ° in the *P*-1 space group. The driving force for the *R*-3 → *P*-1 distortion occurring at 550K was reported to be V–V dimerization in the V honeycomb layer, see ref. [15], Figure 1b, and Supporting Information. However, one could not discard that the nearly degenerate 3*t*<sub>2g</sub> levels suffer a Jahn–Teller instability (JT) and the partial dimerization only occurs as a side effect, as observed for instance in BaFe₂(PO₄)₂.[16] At 300 K the short V–V distance of 2.7353(3) Å compared to the two other longer ones of 3.03609(3) Å and 3.01466(3) Å suggests

<figure><img src="image_4.png" /><figcaption>**Figure 2.** a) Direct and inverse magnetic susceptibility for both CoVO₃ polymorphs. Curie–Weiss laws fitted at high temperatures are shown with lines. b) Real part of AC-susceptibility along with the T<sub>F</sub> change fitted with the Vogel–Fulcher equation for CoVO₃-II.</figcaption></figure>

direct metal-metal bonding, which will affect the magnetic prop-
erties as discussed below.

Regarding the higher-pressure CoVO₃-II polymorph (obtained at 22 GPa and 1473 K), its crystal structure was solved from a small single crystal (CCDC 2 300 093 and Supporting Information). We found that CoVO₃-II is the first oxide that crystallizes in the LiNbO₃-type structure containing both A and B transition metal ions with free *d* electrons. It presents *a* = 5.008(5) Å and *c* = 13.54(1) Å cell parameters in the polar R3c space group and it is ≈1.2% denser than CoVO₃-I at ambient pressure. BVS calculations return values of +2.1(2) for Co and +4.0(4) for V and oxygen octahedra volumes of 11.38 and 9.75 Å³, respectively, corroborating the assigned charges. Both structures are compared in Figure 1b. The main difference is clearly seen in the rhombohedral setting, with (*a*,*b*,*c*)<sub>R</sub> = (*a*,*b*,*c*)<sub>T</sub> [0 0 1, -1 0 -1, -2 3 -1] transformation matrix between the rhombohedral (R) and the triclinic (T) cells. CoVO₃-I shows alternating honeycomb layers of either Co or V stacked along the *c* axis in a rhombohedral setting, whereas in CoVO₃-II these layers contain both Co and V.

The effects of the different cation orderings on the magnetic
properties of CoVO₃ were explored by comparing both poly-
morphs as shown in **Figure 2a**. Magnetic susceptibility measure-
ments reveal that both samples are Curie–Weiss paramagnets in
the 150–300 K range, with effective paramagnetic moments of
μ<sub>eff</sub> = 5.01 and 4.48 μ<sub>B</sub> f.u.<sup>-1</sup> and Weiss temperatures of θ = -45
and -65 K for polymorphs I and II respectively. The moments for
both polymorphs are high compared to the expected value (μ<sub>theo</sub> =
4.24 μ<sub>B</sub>) from stoichiometric contributions of the spin only Co<sup>2+</sup>
<figure><img src="image_3.png" /><figcaption>**Figure 1.** a) “CoO+VO₂” transformation diagram. b) Comparison of both CoVO₃ polymorphs in the rhombohedral setting.</figcaption></figure>

This sets a challenge of obtaining a higher-pressure poly-
morph in either a perovskite- or a LN-type structure. Here, we
report the synthesis of CoVO₃-II, the first LN-type oxide with
both magnetic cations, and a comparison of its magnetic prop-
erties against those of its low-pressure polymorph. The discovery
of both polymorphs suggests that a broad range of novel A-site
cobaltites may be accessible at HP-HT conditions.

**2. Results and Discussion**

We examined the behavior of a mixture of CoO and VO₂ at HP-HT conditions in a multianvil apparatus and studied the recovered samples *ex situ*. The “CoO + VO₂” transformation diagram shown in **Figure 1a** summarizes the conditions used to obtain the different CoVO₃ polymorphs. In the 8–12 GPa pressure range, CoVO₃-I crystallizes in a distorted ilmenite structure with *a* = 4.9999(4) Å, *b* = 5.4353(4) Å, *c* = 4.9463(5) Å, *α* = 90.10(1) °, *β* = 119.79(1) °, and *γ* = 63.40(1) ° in the *P*-1 space group. The driving force for the *R*-3 → *P*-1 distortion occurring at 550K was reported to be V–V dimerization in the V honeycomb layer, see ref. [15], Figure 1b, and Supporting Information. However, one could not discard that the nearly degenerate 3*t*<sub>2g</sub> levels suffer a Jahn–Teller instability (JT) and the partial dimerization only occurs as a side effect, as observed for instance in BaFe₂(PO₄)₂.[16] At 300 K the short V–V distance of 2.7353(3) Å compared to the two other longer ones of 3.03609(3) Å and 3.01466(3) Å suggests

<figure><img src="image_4.png" /><figcaption>**Figure 2.** a) Direct and inverse magnetic susceptibility for both CoVO₃ polymorphs. Curie–Weiss laws fitted at high temperatures are shown with lines. b) Real part of AC-susceptibility along with the T<sub>F</sub> change fitted with the Vogel–Fulcher equation for CoVO₃-II.</figcaption></figure>

direct metal-metal bonding, which will affect the magnetic prop-
erties as discussed below.

Regarding the higher-pressure CoVO₃-II polymorph (obtained at 22 GPa and 1473 K), its crystal structure was solved from a small single crystal (CCDC 2 300 093 and Supporting Information). We found that CoVO₃-II is the first oxide that crystallizes in the LiNbO₃-type structure containing both A and B transition metal ions with free *d* electrons. It presents *a* = 5.008(5) Å and *c* = 13.54(1) Å cell parameters in the polar R3c space group and it is ≈1.2% denser than CoVO₃-I at ambient pressure. BVS calculations return values of +2.1(2) for Co and +4.0(4) for V and oxygen octahedra volumes of 11.38 and 9.75 Å³, respectively, corroborating the assigned charges. Both structures are compared in Figure 1b. The main difference is clearly seen in the rhombohedral setting, with (*a*,*b*,*c*)<sub>R</sub> = (*a*,*b*,*c*)<sub>T</sub> [0 0 1, -1 0 -1, -2 3 -1] transformation matrix between the rhombohedral (*R*) and the triclinic (*T*) cells. CoVO₃-I shows alternating honeycomb layers of either Co or V stacked along the *c* axis in a rhombohedral setting, whereas in CoVO₃-II these layers contain both Co and V.

The effects of the different cation orderings on the magnetic
properties of CoVO₃ were explored by comparing both poly-
morphs as shown in **Figure 2a**. Magnetic susceptibility measure-
ments reveal that both samples are Curie–Weiss paramagnets in
the 150–300 K range, with effective paramagnetic moments of
μ<sub>eff</sub> = 5.01 and 4.48 μ<sub>B</sub> f.u.<sup>-1</sup> and Weiss temperatures of θ = −45
and −65 K for polymorphs I and II respectively. The moments for
both polymorphs are high compared to the expected value (μ<sub>theo</sub> =
4.24 μ<sub>B</sub>) from stoichiometric contributions of the spin only Co<sup>2+</sup>
(S = 3/2) and V<sup>4+</sup> (S = ½) ions, showing that orbital contributions are present. At low temperatures, both polymorphs exhibit a transition at T<sub>N</sub> = 141 K (CoVO<sub>3</sub>-I) and 38 K (CoVO<sub>3</sub>-II), displaying a frustration index of *f* = |θ|/T<sub>N</sub> = 1.7 for the latter. NPD data collected at low temperature showed no signature of magnetic ordering for CoVO<sub>3</sub>-II, see Figure S5 (Supporting Information).

In accordance with this, AC-magnetic susceptibility on CoVO₃-II revealed subsequently a spin-glass behavior, see Figure 2b. The freezing temperature T<sub>f</sub> varies according to the Vogel-Fulcher equation (ω = ω₀ exp(E<sub>a</sub>/k<sub>B</sub>(T<sub>f</sub>−T<sub>0</sub>)) with ω the frequency, E<sub>a</sub> the activation energy, k<sub>B</sub> the Boltzmann constant and T<sub>0</sub> the Vogel-Fulcher temperature). The fitting strongly suggests the formation of a cluster glass with ln(ω₀/Hz) = 14.0(3) → 1/ω₀ = 8.32 × 10<sup>-7</sup> s, T<sub>0</sub> = 33(1) K and E<sub>a</sub>/k<sub>B</sub> = 7.3(3) K. This disordered glassy state advocates for some antisite cation disorder, however two NPD data sets from D20 and WISH maon different samples confirm the LiNbO<sub>3</sub>-type structure, where a sufficient contrast between Co and V prevails due to their different neutron scattering lengths (2.49, -0.38, and 5.8 fm for Co, V, and O respectively). This apparent conflict between the magnetically disordered ground state in a structurally well-ordered compound is explained by its intrinsic magnetic frustration, as we show below.

For CoVO₃-I, NPD collected at WISH at low temperatures revealed the appearance of magnetic peaks below T_N. They can be indexed with a *k* = [½ 0 ½] propagation vector. The Rietveld refinement was obtained with Fullprof in the Ps-1 (# 2.7) magnetic space group. The model with only Co sublattice yields the moment components [0, -1.11(1), 3.016(9)] µ_B at 2 K and the agreement factors R_mag = 10.52% and χ² = 1.42. Refinement with a finite moment on the V-sublattice converges with a better agreement factors (R_mag = 8.64, χ² = 1.05) and the moment components [0.46(1), 0, 0] µ_B. The model, however, implies nearly orthogonal alignment of the Co and V moments, demolishing their interaction. It is possible that a tiny amount of strongly anisotropic Co²⁺ takes the V-site and defines the moment direction of this sublattice. Alternatively, the obtained V moment can be an artifact of the under-constrained model. Although our DFT calculations indirectly support the magnetic nature of the V-sublattice, as specified below, more precise future experimental measurements are required to confirm this conclusion. For instance, XMCD measurements on both Co and V L<sub>2,3</sub> edges would unambiguously determine the presence of an intrinsic magnetic moment on V and the relative alignment of this with the Co magnetic moment. This, however, would imply that the V–V dimerization is not complete, that is, a S = 0 spin singlet would not exist but only JT distortion, and that some of the V moment still contributes to the magnetic ordering. The vanadium moments are perpendicular to the zigzag-type magnetic structure defined by the cobalt atoms, plausibly to avoid frustration, see Figure 3a, similar to MnVO<sub>3</sub>-I where the Mn and V spins are also orthogonal to each other.[11] The simultaneous contribution of V d-electrons to both ordered magnetic moments and molecular orbital formation has been previously observed in GaV<sub>4</sub>O<sub>8</sub> with the so-called “hybrid-electrons”.[17] The temperature evolution of the Co and V moments, Figure 3b, follows a critical law μ(T) = μ<sub>0</sub>[1-[T/T<sub>N</sub>]<sup>β</sup> with μ<sub>0</sub> = 2.94(4) μ<sub>B</sub> for Co and 0.38(2) μ<sub>B</sub> for V, T<sub>N</sub> = 147(1) K and β = 0.35(3) which is in agreement to the theoretical value of β = 0.367 for a 3D Heisenberg magnet, appropriate for the structure described above.

<figure><img src="image_5.png" /><figcaption>**Figure 3.** a) CoVO<sub>3</sub>-I magnetic structure with highlighted zigzag FM chains coupled AFM through the shortest bond (dashed green bond). Only Co atoms are shown. b) Thermal evolution of Co and V magnetic moment adjusted with a critical law as detailed in the text. c) Rietveld refinement of the Intensity difference between 1.5 and 160 K NPD data with *k* = [½ 0 ½].</figcaption></figure>

The zigzag-type order within honeycomb planes is common for Kitaev magnets, such as Na₃CoSb₂O₆, Na₂IrO₃, and α-RuCl₃ where this spin arrangement is the result of a competition between different exchange couplings.[18–23] It is thus interesting to ask whether CoVO₃-I is a Kitaev magnet too. To address this question, we performed DFT+U+SO calculations in two different modes that enabled or suppressed the Co–V interactions, respectively, see SI for further details. The exchange couplings obtained for the first set reveal a strong deformation of the magnetic honeycomb lattice that stabilizes, without frustration, the Co zigzag-type collinear magnetic order as experimentally observed, see Figure 4a. The second set stabilizes a ferromagnetic in-plane order, which is observed in the sibling compound CoTiO₃ where
(S = 3/2) and V4⁺ (S = ½) ions, showing that orbital contributions are present. At low temperatures, both polymorphs exhibit a transition at T_N = 141 K (CoVO₃-I) and 38 K (CoVO₃-II), displaying a frustration index of f = |θ|/T_N = 1.7 for the latter. NPD data collected at low temperature showed no signature of magnetic ordering for CoVO₃-II, see Figure S5 (Supporting Information).

In accordance with this, AC-magnetic susceptibility on CoVO₃-II revealed subsequently a spin-glass behavior, see Figure 2b. The freezing temperature T_f varies according to the Vogel-Fulcher equation (ω = ω₀ exp(E_a/k_B(T_I-T₀)) with ω the frequency, E_a the activation energy, k_B the Boltzmann constant and T₀ the Vogel-Fulcher temperature). The fitting strongly suggests the formation of a cluster glass with ln(ω₀/Hz) = 14.0(3) → 1/ω₀ = 8.32 × 10⁻⁷ s, T₀ = 33(1) K and E_a/k_B = 7.3(3) K. This disordered glassy state advocates for some antisite cation disorder, however two NPD data sets from D20 and WISH maon different samples confirm the LiNbO₃-type structure, where a sufficient contrast between Co and V prevails due to their different neutron scattering lengths (2.49, -0.38, and 5.8 fm for Co, V, and O respectively). This apparent conflict between the magnetically disordered ground state in a structurally well-ordered compound is explained by its intrinsic magnetic frustration, as we show below.

For CoVO₃-I, NPD collected at WISH at low temperatures revealed the appearance of magnetic peaks below T_N. They can be indexed with a *k* = [½ 0 ½] propagation vector. The Rietveld refinement was obtained with Fullprof in the Ps-1 (# 2.7) magnetic space group. The model with only Co sublattice yields the moment components [0, -1.11(1), 3.016(9)] µ_B at 2 K and the agreement factors R_mag = 10.52% and χ² = 1.42. Refinement with a finite moment on the V-sublattice converges with a better agreement factors (R_mag = 8.64, χ² = 1.05) and the moment components [0.46(1), 0, 0] µ_B. The model, however, implies nearly orthogonal alignment of the Co and V moments, demolishing their interaction. It is possible that a tiny amount of strongly anisotropic Co²⁺ takes the V-site and defines the moment direction of this sublattice. Alternatively, the obtained V moment can be an artifact of the under-constrained model. Although our DFT calculations indirectly support the magnetic nature of the V-sublattice, as specified below, more precise future experimental measurements are required to confirm this conclusion. For instance, XMCD measurements on both Co and V L₂,₃ edges would unambiguously determine the presence of an intrinsic magnetic moment on V and the relative alignment of this with the Co magnetic moment. This, however, would imply that the V–V dimerization is not complete, that is, a *S* = 0 spin singlet would not exist but only JT distortion, and that some of the V moment still contributes to the magnetic ordering. The vanadium moments are perpendicular to the zigzag-type magnetic structure defined by the cobalt atoms, plausibly to avoid frustration, see Figure 3a, similar to MnVO₃-I where the Mn and V spins are also orthogonal to each other.[11] The simultaneous contribution of V d-electrons to both ordered magnetic moments and molecular orbital formation has been previously observed in GaV₄O₈ with the so-called “hybrid-electrons”.[17] The temperature evolution of the Co and V moments, Figure 3b, follows a critical law μ(T) = μ₀[1-[T/T_N]⁰ with μ₀ = 2.94(4) µ_B for Co and 0.38(2) µ_B for V, T_N = 147(1) K and β = 0.35(3) which is in agreement to the theoretical value of β = 0.367 for a 3D Heisenberg magnet, appropriate for the structure described above.

<figure><img src="image_5.png" /><figcaption>**Figure 3.** a) CoVO₃-I magnetic structure with highlighted zigzag FM chains coupled AFM through the shortest bond (dashed green bond). Only Co atoms are shown. b) Thermal evolution of Co and V magnetic moment adjusted with a critical law as detailed in the text. c) Rietveld refinement of the Intensity difference between 1.5 and 160 K NPD data with *k* = [½ 0 ½].</figcaption></figure>

The zigzag-type order within honeycomb planes is common for Kitaev magnets, such as Na₃CoSb₂O₆, Na₂IrO₃, and α-RuCl₃ where this spin arrangement is the result of a competition between different exchange couplings.[18–23] It is thus interesting to ask whether CoVO₃-I is a Kitaev magnet too. To address this question, we performed DFT+U+SO calculations in two different modes that enabled or suppressed the Co–V interactions, respectively, see SI for further details. The exchange couplings obtained for the first set reveal a strong deformation of the magnetic honeycomb lattice that stabilizes, without frustration, the Co zigzag-type collinear magnetic order as experimentally observed, see **Figure 4a**. The second set stabilizes a ferromagnetic in-plane order, which is observed in the sibling compound CoTiO₃ where
<figure><img src="image_6.png" /><figcaption>**Figure 4.** a) Calculated magnetic structure for the honeycomb network of Co atoms in CoVO₃-I with their exchange interactions *J* in K. Ignoring the V contribution results in the CoTiO₃ magnetic structure. b) Calculated magnetic structure for CoVO₃-II with the interpenetrating magnetic sublattices of Co²⁺ (AFM) and V⁴⁺ (FM).</figcaption></figure>

the second 3d ion is nonmagnetic Ti⁴⁺.[24,25] Thus, the presence of V⁴⁺ has a strong influence on the exchange couplings in the Co honeycomb layers. Even though V⁴⁺ ions develop a partial pairing and in principle should be nonmagnetic, they exhibit a perpendicular ordered moment in our diffraction data to avoid frustration with the Co sublattice.

In CoVO₃-II, both Co and V atoms independently form hcp lattices, which are nonfrustrated unless interactions beyond nearest neighbors are taken into consideration. Our calculations suggest that such long-range interactions are negligible, but dissimilar nearest-neighbor interactions are observed. While the Co sublattice is antiferromagnetic with *J*<sub>Co</sub> = 17 K, the V sublattice is ferromagnetic with *J*<sub>V</sub> = -25 K. Any coupling between such incompatible sublattices would necessarily lead to frustration and prevent magnetic ordering in both. Therefore, we interpret the formation of a spin glass in CoVO₃-II as the effect of two dissimilar magnetic sublattices present in this compound. It is an interesting example of a well cation ordered compound with absence of magnetic order due to intrinsic competition between the dissimilar magnetic sublattices but unrelated to competing electronic instabilities or dimerization effects as in other oxides.

The discovery of the higher-pressure polymorph of CoVO₃ is also remarkable as among A-site containing Co oxides only a handful of examples are known to crystallize in the ABO₃ corundum- or perovskite-type derivatives, namely: CoTeO₃, Co₂CoTeO₆, Co₂InSbO₆ and Co₂ScSbO₆[26–30] and it points out to a novel field of “A-site cobaltites” obtained via HP-HT conditions.

### 3. Conclusion

The discovery of CoVO₃-II establishes the first compound adopting the LiNbO₃-type structure stabilized with two 3d magnetic transition metals. It presents a spin-glass behavior that results from Co-V interactions and thus materializes an interesting example of a compound that is magnetically disordered due to intrinsic competition between the dissimilar magnetic sublattices. On the contrary, the lower pressure polymorph CoVO₃-I presents a distorted ilmenite-type structure with Co spins ordered in a zigzag-type antiferromagnetic arrangement within the honeycomb layers, as supported by DFT. First-principle calculations indicate that the V influence on this magnetic structure is crucial, as a FM structure known for CoTiO₃ would be stabilized otherwise.

After preparation of this manuscript, but prior to its submission, it came to our attention that a neutron diffraction study of CoVO₃-I has been carried out by H. Yamamoto et al.[31] They report the same magnetic order in the Co sublattice as in our work, but its origin was not revealed.

### Supporting Information

Supporting Information is available from the Wiley Online Library or from the author.

### Acknowledgements

The authors thank support from the ANR AMANTS project (19-CE08-0002-01). This work was partially funded by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) - TRR 360 - 492547816. The ALBA synchrotron, the ILL (https://doi.org/10.5291/ILL-DATA-5-31-2921) and the ISIS muon and neutron source are acknowledged for access to beam time. The Chevreul Institute (FR 2638), Region Hauts-de-France, and FEDER are acknowledged for funding the X-ray diffractometers, the “LEGO” multianvil-press and the PPMS magnetometer.

### Conflict of Interest

The authors declare no conflict of interest.

### Data Availability Statement

The data that support the findings of this study are available from the corresponding author upon reasonable request.

### Keywords

cation ordering, high-pressure phases, magnetism

Received: October 17, 2023

Revised: November 21, 2023

Published online:

[1] H. D. Megaw, *Acta Cryst.* **1968**, A24, 583.

[2] J. Ko, N. E. Brown, A. Navrotsky, C. T. Prewitt, T. Gasparik, *Phys. Chem. Miner.* **1989**, 16, 727.
<figure><img src="image_6.png" /><figcaption>**Figure 4.** a) Calculated magnetic structure for the honeycomb network of Co atoms in CoVO₃-I with their exchange interactions *J* in K. Ignoring the V contribution results in the CoTiO₃ magnetic structure. b) Calculated magnetic structure for CoVO₃-II with the interpenetrating magnetic sublattices of Co²⁺ (AFM) and V⁴⁺ (FM).</figcaption></figure>

the second 3d ion is nonmagnetic Ti⁴⁺.[24,25] Thus, the presence of V⁴⁺ has a strong influence on the exchange couplings in the Co honeycomb layers. Even though V⁴⁺ ions develop a partial pairing and in principle should be nonmagnetic, they exhibit a perpendicular ordered moment in our diffraction data to avoid frustration with the Co sublattice.

In CoVO₃-II, both Co and V atoms independently form hcp lattices, which are nonfrustrated unless interactions beyond nearest neighbors are taken into consideration. Our calculations suggest that such long-range interactions are negligible, but dissimilar nearest-neighbor interactions are observed. While the Co sublattice is antiferromagnetic with *J*<sub>Co</sub> = 17 K, the V sublattice is ferromagnetic with *J*<sub>V</sub> = -25 K. Any coupling between such incompatible sublattices would necessarily lead to frustration and prevent magnetic ordering in both. Therefore, we interpret the formation of a spin glass in CoVO₃-II as the effect of two dissimilar magnetic sublattices present in this compound. It is an interesting example of a well cation ordered compound with absence of magnetic order due to intrinsic competition between the dissimilar magnetic sublattices but unrelated to competing electronic instabilities or dimerization effects as in other oxides.

The discovery of the higher-pressure polymorph of CoVO₃ is also remarkable as among A-site containing Co oxides only a handful of examples are known to crystallize in the ABO₃ corundum- or perovskite-type derivatives, namely: CoTeO₃, Co₂CoTeO₆, Co₂InSbO₆ and Co₂ScSbO₆[26–30] and it points out to a novel field of “A-site cobaltites” obtained via HP-HT conditions.

### 3. Conclusion

The discovery of CoVO₃-II establishes the first compound adopting the LiNbO₃-type structure stabilized with two 3d magnetic transition metals. It presents a spin-glass behavior that results from Co-V interactions and thus materializes an interesting example of a compound that is magnetically disordered due to intrinsic competition between the dissimilar magnetic sublattices. On the contrary, the lower pressure polymorph CoVO₃-I presents a distorted ilmenite-type structure with Co spins ordered in a zigzag-type antiferromagnetic arrangement within the honeycomb layers, as supported by DFT. First-principle calculations indicate that the V influence on this magnetic structure is crucial, as a FM structure known for CoTiO₃ would be stabilized otherwise.

After preparation of this manuscript, but prior to its submission, it came to our attention that a neutron diffraction study of CoVO₃-I has been carried out by H. Yamamoto et al.[31] They report the same magnetic order in the Co sublattice as in our work, but its origin was not revealed.

### Supporting Information

Supporting Information is available from the Wiley Online Library or from the author.

### Acknowledgements

The authors thank support from the ANR AMANTS project (19-CE08-0002-01). This work was partially funded by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) – TRR 360 – 492547816. The ALBA synchrotron, the ILL (https://doi.org/10.5291/ILL-DATA-5.31-2921) and the ISIS muon and neutron source are acknowledged for access to beam time. The Chevreul Institute (FR 2638), Region Hauts-de-France, and FEDER are acknowledged for funding the X-ray diffractometers, the “LEGO” multianvil-press and the PPMS magnetometer.

### Conflict of Interest

The authors declare no conflict of interest.

### Data Availability Statement

The data that support the findings of this study are available from the corresponding author upon reasonable request.

### Keywords

cation ordering, high-pressure phases, magnetism

Received: October 17, 2023

Revised: November 21, 2023

Published online:

[1] H. D. Megaw, *Acta Cryst.* **1968**, A24, 583.

[2] J. Ko, N. E. Brown, A. Navrotsky, C. T. Prewitt, T. Gasparik, *Phys. Chem. Miner.* **1989**, 16, 727.
[3] K. Leinenweber, W. Utsumi, Y. Tsuchida, T. Yagi, K. Kurita, Phys. Chem. Miner. **1991**, *18*, 244.

[4] T. Nagai, T. Hattori, T. Tsuchiya, T. Yamanaka, Solid State Commun. **1998**, *107*, 223.

[5] A. Navrotsky, R. L. Putnam, C. Winbo, E. Rosen, Am. Mineral. **1997**, *82*, 546.

[6] K. Leinenweber, Y. Wang, T. Yagi, H. Yusa, Am. Mineral. **1994**, *79*, 197.

[7] A. W. Sleight, C. T. Prewitt, Mater. Res. Bull. **1970**, *5*, 207.

[8] E. Solana-Madruga, A. M. Arévalo-López, J. Solid State Chem. **2022**, *315*, 123470.

[9] A. A. Belik, W. Yi, J. Phys.: Condens. Matter **2014**, *26*, 163201.

[10] Y. Syono, S.-I. Akimoto, Y. Endoh, J. Phys. Chem. Solids **1971**, *32*, 243.

[11] E. Solana-Madruga, O. Mentré, E. P. Arévalo-López, D. Khalyavin, F. Fauth, A. Missiul, A. M. Arévalo-López, J. Mater. Chem. C **2023**, *11*, 9238.

[12] M. Markkula, A. M. Arévalo-López, A. Kusmartseva, J. A. Rodgers, C. Ritter, H. Wu, J. P. Attfield, Phys. Rev. B **2011**, *84*, 094450.

[13] N. L. Ross, J. Ko, C. T. Prewitt, Phys. Chem. Miner. **1989**, *16*, 621.

[14] X. Wu, S. Qin, L. Dubrovinsky, Geosci. Front. **2011**, *2*, 107.

[15] a) T. Varga, A. Kumar, E. Vlahos, S. Denev, M. Park, S. Hong, T. Sanehira, Y. Wang, C. J. Fennie, S. K. Streiffer, X. Ke, P. Schiffer, V. Gopalan, J. F. Mitchell, Phys. Rev. Lett. **2009**, *103*, 047601; b) S. Kamiyama, I. Yamada, M. Fukuda, Y. Okazaki, T. Nakamura, T. Nishikubo, M. Azuma, H. Kimura, H. Yamamoto, Inorg. Chem. **2022**, *61*, 7841.

[16] R. David, A. Pautrat, D. Filimonov, H. Kabbour, H. Vezin, M.-H. Whangbo, O. Mentré, J. Am. Chem. Soc. **2013**, *135*, 13023.

[17] C. Aguilar-Maldonado, O. Mentré, A. A. Tsirlin, C. Ritter, A. Missiul, F. Fauth, A. M. Arévalo-López, Mater. Horiz. **2021**, *8*, 2325.

[18] J.-Q. Yan, S. Okamoto, Y. Wu, Q. Zheng, H. D. Zhou, H. B. Cao, M. A. Mcguire, Phys. Rev. Mater. **2019**, *3*, 074405.

[19] X. Liu, T. Berlijn, W.-G. Yin, W. Ku, A. Tsvelik, Y.-J. Kim, H. Gretarsson, Y. Singh, P. Gegenwart, J. P. Hill, Phys. Rev. B **2011**, *83*, 220403 (R).

[20] C. Ritter, J. Phys. Conf. Ser. **2016**, *746*, 012060.

[21] T. Halloran, F. Desrochers, E. Z. Zhang, T>Chen, L. E. C., Z. Xu, B. Winn, M. Graves-Brook, M. B. Stone, A. I. Kolesnikov, Y. Qiu, R. Zhong, R. Cava, Y. B. Kim, C. Broholm, Proc. Natl. Acad. Sci. U. S. A. **2023**, *120*, e2215509119.

[22] L. Xiang, R. Dhakal, M. Ozerov, Y. Jiang, B. S. Mou, A. Ozarowski, Q. Huang, H. Zhou, J. Fang, S. M. Winter, Z. Jiang, D. Smirnov, Phys. Rev. Lett. **2023**, *131*, 076701.

[23] W. Yao, Y. Zhao, Y. Qiu, C. Balz, J. R. Stewart, J. W. Lynn, Y. Li, Phys. Rev. Res. **2023**, *5*, L022045.

[24] B. Yuan, I. Khait, G.-J. Shu, F. C. Chou, M. B. Stone, J. P. Clancy, A. Paramekanti, Y.-J. Kim, Phys. Rev. X **2020**, *10*, 011062.

[25] R. E. Newnham, J. H. Fang, R. P. Santoro, Acta Cryst. **1964**, *17*, 240.

[26] K. Kohn, S.-I. Akimoto, Y. Uesu, K. Asai, J. Phys. Soc. Jpn. **1974**, *37*, 1169.

[27] K. Kohn, K. Inoue, O. Horie, S.-I. Akimoto, J. Solid State Chem. **1976**, *18*, 27.

[28] E. Solana-Madruga, C. Aguilar-Maldonado, C. Ritter, M. Huvé, O. Mentré, J. P. Attfield, Á. M. Arévalo-López, Chem. Commun. **2021**, *57*, 2511.

[29] K. Ji, E. Solana-Madruga, M. A. Patino, Y. Shimakawa, J. P. Attfield, Angew. Chem., Int. Ed. **2022**, *61*, e202203062.

[30] K.-L. Ji, E. Solana-Madruga, A. M. Arévalo-López, P. Manuel, C. Ritter, A. Senyshyn, J. P. Attfield, Chem. Commun. **2018**, *54*, 12523.

[31] H. Yamamoto, H.-C. Wu, A. Miyake, M. Tokunaga, A. Suzuki, T. Honda, H. Kimura, Appl. Phys. Lett. **2023**, *123*, 132404.
[3] K. Leinenweber, W. Utsumi, Y. Tsuchida, T. Yagi, K. Kurita, Phys. Chem. Miner. **1991**, *18*, 244.

[4] T. Nagai, T. Hattori, T. Tsuchiya, T. Yamanaka, Solid State Commun. **1998**, *107*, 223.

[5] A. Navrotsky, R. L. Putnam, C. Winbo, E. Rosen, Am. Mineral. **1997**, *82*, 546.

[6] K. Leinenweber, Y. Wang, T. Yagi, H. Yusa, Am. Mineral. **1994**, *79*, 197.

[7] A. W. Sleight, C. T. Prewitt, Mater. Res. Bull. **1970**, *5*, 207.

[8] E. Solana-Madruga, A. M. Arévalo-López, J. Solid State Chem. **2022**, *315*, 123470.

[9] A. A. Belik, W. Yi, J. Phys.: Condens. Matter **2014**, *26*, 163201.

[10] Y. Syono, S.-I. Akimoto, Y. Endoh, J. Phys. Chem. Solids **1971**, *32*, 243.

[11] E. Solana-Madruga, O. Mentré, E. P. Arévalo-López, D. Khalyavin, F. Fauth, A. Missiul, A. M. Arévalo-López, J. Mater. Chem. C **2023**, *11*, 9238.

[12] M. Markkula, A. M. Arévalo-López, A. Kusmartseva, J. A. Rodgers, C. Ritter, H. Wu, J. P. Attfield, Phys. Rev. B **2011**, *84*, 094450.

[13] N. L. Ross, J. Ko, C. T. Prewitt, Phys. Chem. Miner. **1989**, *16*, 621.

[14] X. Wu, S. Qin, L. Dubrovinsky, Geosci. Front. **2011**, *2*, 107.

[15] a) T. Varga, A. Kumar, E. Vlahos, S. Denev, M. Park, S. Hong, T. Sanehira, Y. Wang, C. J. Fennie, S. K. Streiffer, X. Ke, P. Schiffer, V. Gopalan, J. F. Mitchell, Phys. Rev. Lett. **2009**, *103*, 047601; b) S. Kamiyama, I. Yamada, M. Fukuda, Y. Okazaki, T. Nakamura, T. Nishikubo, M. Azuma, H. Kimura, H. Yamamoto, Inorg. Chem. **2022**, *61*, 7841.

[16] R. David, A. Pautrat, D. Filimonov, H. Kabbour, H. Vezin, M.-H. Whangbo, O. Mentré, J. Am. Chem. Soc. **2013**, *135*, 13023.

[17] C. Aguilar-Maldonado, O. Mentré, A. A. Tsirlin, C. Ritter, A. Missiul, F. Fauth, A. M. Arévalo-López, Mater. Horiz. **2021**, *8*, 2325.

[18] J.-Q. Yan, S. Okamoto, Y. Wu, Q. Zheng, H. D. Zhou, H. B. Cao, M. A. Mcguire, Phys. Rev. Mater. **2019**, *3*, 074405.

[19] X. Liu, T. Berlijn, W.-G. Yin, W. Ku, A. Tsvelik, Y.-J. Kim, H. Gretarsson, Y. Singh, P. Gegenwart, J. P. Hill, Phys. Rev. B **2011**, *83*, 220403 (R).

[20] C. Ritter, J. Phys. Conf. Ser. **2016**, *746*, 012060.

[21] T. Halloran, F. Desrochers, E. Z. Zhang, T>Chen, L. E. C., Z. Xu, B. Winn, M. Graves-Brook, M. B. Stone, A. I. Kolesnikov, Y. Qiu, R. Zhong, R. Cava, Y. B. Kim, C. Broholm, Proc. Natl. Acad. Sci. U. S. A. **2023**, *120*, e2215509119.

[22] L. Xiang, R. Dhakal, M. Ozerov, Y. Jiang, B. S. Mou, A. Ozarowski, Q. Huang, H. Zhou, J. Fang, S. M. Winter, Z. Jiang, D. Smirnov, Phys. Rev. Lett. **2023**, *131*, 076701.

[23] W. Yao, Y. Zhao, Y. Qiu, C. Balz, J. R. Stewart, J. W. Lynn, Y. Li, Phys. Rev. Res. **2023**, *5*, L022045.

[24] B. Yuan, I. Khait, G.-J. Shu, F. C. Chou, M. B. Stone, J. P. Clancy, A. Paramekanti, Y.-J. Kim, Phys. Rev. X **2020**, *10*, 011062.

[25] R. E. Newnham, J. H. Fang, R. P. Santoro, Acta Cryst. **1964**, *17*, 240.

[26] K. Kohn, S.-I. Akimoto, Y. Uesu, K. Asai, J. Phys. Soc. Jpn. **1974**, *37*, 1169.

[27] K. Kohn, K. Inoue, O. Horie, S.-I. Akimoto, J. Solid State Chem. **1976**, *18*, 27.

[28] E. Solana-Madruga, C. Aguilar-Maldonado, C. Ritter, M. Huvé, O. Mentré, J. P. Attfield, Á. M. Arévalo-López, Chem. Commun. **2021**, *57*, 2511.

[29] K. Ji, E. Solana-Madruga, M. A. Patino, Y. Shimakawa, J. P. Attfield, Angew. Chem., Int. Ed. **2022**, *61*, e202203062.

[30] K.-L. Ji, E. Solana-Madruga, A. M. Arévalo-López, P. Manuel, C. Ritter, A. Senyshyn, J. P. Attfield, Chem. Commun. **2018**, *54*, 12523.

[31] H. Yamamoto, H.-C. Wu, A. Miyake, M. Tokunaga, A. Suzuki, T. Honda, H. Kimura, Appl. Phys. Lett. **2023**, *123*, 132404.