Reuse & Permissions

It is not necessary to obtain permission to reuse this article or its components as it is available under the terms of the Creative Commons Attribution 4.0 International license. This license permits unrestricted use, distribution, and reproduction in any medium, provided attribution to the author(s) and the published article's title, journal citation, and DOI are maintained. Please note that some figures may have been included with permission from other third parties. It is your responsibility to obtain the proper permission from the rights holder directly for these figures.

Export citation

Export citation

Choose format for download:

Download Citation
  • Open Access

Local distortions and B-site-resolved environments in Ca2Mn1−xTixO4 solid solutions

A. Neves Cesário1, S. S. M. Santos2,3, P. Rocha-Rodrigues1, P. Neenu Lekshmi1, P. S. Sousa1, J. G. Correia4, J. P. Araújo1, L. V. C. Assali2, H. M. Petrilli2 et al.

M. S. Senn5 and A. M. L. Lopes1,*

  • *Contact author: armandina.lima.lopes@cern.ch

Phys. Rev. B 114, 144101 – Published 2 September, 2026

DOI: https://doi.org/10.1103/b18r-2d5k

Abstract

A series of Ruddlesden-Popper perovskite solid solutions, Ca2Mn1−xTixO4 (0.25≤x≤0.65), is examined by combining density functional theory (DFT) calculations with local-scale experimental studies conducted at ISOLDE-CERN over a broad temperature range (10–1220 K). Perturbed angular correlation (PAC) spectroscopy probes the I4/mmm to I41/acd structural phase transitions for all compositions between 900 and 1200 K. For x=0.65, measurements below 160 K show that a second structural phase condenses, coexisting with the I41/acd phase down to 10 K. DFT structural models reproduce a key experimental observation: in the I41/acd phase, the c lattice parameter shows only a minor increase upon Ti substitution, whereas the ab plane expands significantly, reducing the c/a ratio linearly. This anisotropic response can be attributed to a corkscrewlike mechanism, where the enhancement of in-plane BO6 octahedral rotations induces a contraction of the rocksalt layers, thereby mitigating the expansion of the c axis. PAC data, supported by DFT calculations, demonstrate that Ca sites apically connected to MnO6 octahedra exhibit experimentally distinguishable Electric Field Gradients from those connected to TiO6 octahedra.

View figure in article

Physics Subject Headings (PhySH)

Article Text

Supplemental Material

References (58)

  1. N. A. Benedek and C. J. Fennie, Hybrid improper ferroelectricity: A mechanism for controllable polarization-magnetization coupling, Phys. Rev. Lett. 106, 107204 (2011).
  2. M. Liu, Y. Zhang, L.-F. Lin, L. Lin, S. Yang, X. Li, Y. Wang, S. Li, Z. Yan, X. Wang, X.-G. Li, S. Dong, and J.-M. Liu, Direct observation of ferroelectricity in Ca3Mn2O7 and its prominent light absorption, Appl. Phys. Lett. 113, 022902 (2018).
  3. M. A. Zurbuchen, Y. Jia, S. Knapp, A. H. Carim, D. G. Schlom, L.-N. Zou, and Y. Liu, Suppression of superconductivity by crystallographic defects in epitaxial Sr2RuO4 films, Appl. Phys. Lett. 78, 2351 (2001).
  4. M. S. Senn, A. Bombardi, C. A. Murray, C. Vecchini, A. Scherillo, X. Luo, and S. W. Cheong, Negative thermal expansion in hybrid improper ferroelectric Ruddlesden-Popper perovskites by symmetry trapping, Phys. Rev. Lett. 114, 035701 (2015).
  5. C. Ablitt, H. McCay, S. Craddock, L. Cooper, E. Reynolds, A. A. Mostofi, N. C. Bristowe, C. A. Murray, and M. S. Senn, Tolerance factor control of uniaxial negative thermal expansion in a layered perovskite, Chem. Mater. 32, 605 (2020).
  6. S. Yoshida, H. Akamatsu, A. S. Gibbs, S. Kawaguchi, V. Gopalan, K. Tanaka, and K. Fujita, Interplay between oxygen octahedral rotation and deformation in the acentric AR TiO4 series toward negative thermal expansion, Chem. Mater. 34, 6492 (2022).
  7. N. Z. Koocher, L.-F. Huang, and J. M. Rondinelli, Negative thermal expansion in the Ruddlesden-Popper calcium titanates, Phys. Rev. Mater. 5, 053601 (2021).
  8. M. S. Senn, C. A. Murray, X. Luo, L. Wang, F.-T. Huang, S.-W. Cheong, A. Bombardi, C. Ablitt, A. A. Mostofi, and N. C. Bristowe, Symmetry switching of negative thermal expansion by chemical control, J. Am. Chem. Soc. 138, 5479 (2016).
  9. C. Ablitt, S. Craddock, M. S. Senn, A. A. Mostofi, and N. C. Bristowe, The origin of uniaxial negative thermal expansion in layered perovskites, npj Comput. Mater. 3, 44 (2017).
  10. C. Ablitt, M. S. Senn, N. C. Bristowe, and A. A. Mostofi, A corkscrew model for highly coupled anisotropic compliance in Ruddlesden-Popper oxides with frozen octahedral rotations, arXiv:1810.02697.
  11. C. Ablitt, A. A. Mostofi, N. C. Bristowe, and M. S. Senn, Control of uniaxial negative thermal expansion in layered perovskites by tuning layer thickness, Front. Chem. 6, 455 (2018).
  12. P. Rocha-Rodrigues, S. S. M. Santos, G. N. P. Oliveira, T. Leal, I. P. Miranda, A. M. dos Santos, J. G. Correia, L. V. C. Assali, H. M. Petrilli, J. P. Araújo, and A. M. L. Lopes, Ca2MnO4 structural path: Following the negative thermal expansion at the local scale, Phys. Rev. B 102, 104115 (2020).
  13. R. Oka and T. Hayakawa, Local structural investigation of near-infrared-reflective black Ca2(Mn,Ti)O4 pigments using synchrotron radiation X-ray and density functional theory calculations, Inorg. Chem. 62, 14647 (2023).
  14. V. M. Goldschmidt, Die Gesetze der Krystallochemie, Naturwissenschaften 14, 477 (1926).
  15. See Supplemental Material at http://link.aps.org/supplemental/10.1103/b18r-2d5k for additional information on the synthesis methods, XRD and DFT structural results, SEM and EDS measurements, DOS calculations, and remaining PAC results.
  16. B. H. Toby and R. B. Von Dreele, GSAS-II : The genesis of a modern open-source all purpose crystallography software package, J. Appl. Cryst. 46, 544 (2013).
  17. P. Rocha-Rodrigues, S. S. M. Santos, I. P. Miranda, G. N. P. Oliveira, J. G. Correia, L. V. C. Assali, H. M. Petrilli, J. P. Araújo, and A. M. L. Lopes, Ca3Mn2O7 structural path unraveled by atomic-scale properties: A combined experimental and ab initio study, Phys. Rev. B 101, 064103 (2020).
  18. P. Rocha-Rodrigues, I. P. Miranda, S. S. M. Santos, G. N. P. Oliveira, T. Leal, M. L. Marcondes, J. G. Correia, L. V. C. Assali, H. M. Petrilli, A. M. L. Lopes, and J. P. Araújo, Probing Ca3Ti2O7 crystal structure at the atomic level: Insights from perturbed angular correlation spectroscopy and ab initio studies, Phys. Rev. B 109, 224101 (2024).
  19. S. J. L. Billinge and I. Levin, The problem with determining atomic structure at the nanoscale, Science 316, 561 (2007).
  20. H. Frauenfelder and R. M. Steffen, in Alpha-, Beta- and Gamma-Ray Spectroscopy, edited by K. Siegbahn (North-Holland Publishing Co., Amsterdam, 1965), Vol. 2.
  21. G. Schatz and A. Weidinger, Nuclear Condensed Matter Physics: Nuclear Methods and Applications (Wiley, Chichester, 1996).
  22. T. T. Dang, J. Heiniger-Schell, A. Dubey, J. N. Gonçalves, M. E. Castillo, D. Lewin, I. C. J. Yap, A. M. Gerami, S. M. Fathabad, D. Zyabkin, and D. C. Lupascu, Magnetoelectric decoupling in bismuth ferrite, Phys. Rev. Lett. 134, 216702 (2025).
  23. J. G. Correia, J. P. Araújo, S. M. Loureiro, P. Toulemonde, S. Le Floch, P. Bordet, J. J. Capponi, R. Gatt, W. Tröger, B. Ctortecka, T. Butz, H. Haas, J. G. Marques, and J. C. Soares, Local Oδ probing in the high-Tc superconductor HgBa2CuO4+δ, Phys. Rev. B 61, 11769 (2000).
  24. P. Raghavan, Table of nuclear moments, At. Data Nucl. Data Tables 42, 189 (1989).
  25. R. P. Moreira, E. L. da Silva, G. N. P. Oliveira, P. N. Lekshmi, P. Rocha-Rodrigues, F. G. Figueiras, A. A. Bassou, A. Stroppa, C. V. Colin, C. Darie, J. G. Correia, L. V. C. Assali, H. M. Petrilli, A. M. L. Lopes, and J. P. Araújo, Ge-based clinopyroxene series: First principles and experimental local probe study, Phys. Rev. Mater. 9, 124413 (2025).
  26. J. Schell, P. Schaaf, and D. C. Lupascu, Perturbed angular correlations at ISOLDE: A 40 years young technique, AIP Adv. 7, 105017 (2017).
  27. T. Butz, S. Saibene, Th. Fraenzke, and M. Weber, A “TDPAC-camera,” Nucl. Instrum. Methods Phys. Res. A 284, 417 (1989).
  28. M. Jäger, K. Iwig, and T. Butz, A compact digital time differential perturbed angular correlation-spectrometer using field programmable gate arrays and various timestamp algorithms, Rev. Sci. Instrum. 82, 065105 (2011).
  29. P. Rocha-Rodrigues, A. Miranda, A. Cesário, P. Lekshmi, G. Oliveira, P. Sousa, J. Araújo, J. Correia, and A. Lopes, PACIFIC2 suite integrated with the CAEN DT5730S digitizer: A desktop digital system for time-differential perturbed angular correlation measurements, Nucl. Instrum. Methods Phys. Res. A 1087, 171440 (2026).
  30. M. Nagl, M. Barbosa, U. Vetter, J. Correia, and H. Hofsäss, A new tool for the search of nuclides with properties suitable for nuclear solid state physics based on the Evaluated Nuclear Structure Data Files, Nucl. Instrum. Methods Phys. Res. A 726, 17 (2013).
  31. T. Butz, Analytic perturbation functions for static interactions in perturbed angular correlations of ®rays, Hyperfine Interact. 52, 189 (1989).
  32. J. G. Correia, H. Haas, V. S. Amaral, A. M. L. Lopes, J. P. Araújo, S. Le Floch, P. Bordet, E. Rita, J. C. Soares, and W. Tröger, Atomic ordering of the fluorine dopant in the HgBa2CuO4+δ high-Tc superconductor, Phys. Rev. B 72, 144523 (2005).
  33. N. P. Barradas, NNFIT, The PAC Manual (University of Lisboa, Portugal, 1992).
  34. J. G. Correia, NNFIT and FFT Upgrades 2018 (C2TN-IST, University of Lisboa, Portugal, 2018).
  35. L. A. Mendoza-Zelis, A. G. Bibiloni, M. C. Caracoche, A. R. Lopez-Garcia, J. A. Martinez, R. C. Mercader, and A. F. Pasquevich, Temperature dependence of the electric field gradient at Ta nuclei in hafnium pyrovanadate, Hyperfine Interact. 3, 315 (1977).
  36. K. Momma and F. Izumi, VESTA3 for three-dimensional visualization of crystal, volumetric and morphology data, J. Appl. Crystallogr. 44, 1272 (2011).
  37. P. Giannozzi, S. Baroni, N. Bonini, M. Calandra, R. Car, C. Cavazzoni, D. Ceresoli, G. L. Chiarotti, M. Cococcioni, I. Dabo, A. Dal Corso, S. De Gironcoli, S. Fabris, G. Fratesi, R. Gebauer, U. Gerstmann, C. Gougoussis, A. Kokalj, M. Lazzeri, L. Martin-Samos, et al., quantum espresso: A modular and open-source software project for quantum simulations of materials, J. Phys.: Condens. Matter 21, 395502 (2009).
  38. P. Giannozzi, O. Andreussi, T. Brumme, O. Bunau, M. Buongiorno Nardelli, M. Calandra, R. Car, C. Cavazzoni, D. Ceresoli, M. Cococcioni, N. Colonna, I. Carnimeo, A. Dal Corso, S. De Gironcoli, P. Delugas, R. A. DiStasio, A. Ferretti, A. Floris, G. Fratesi, G. Fugallo, et al., Advanced capabilities for materials modelling with quantum espresso, J. Phys.: Condens. Matter 29, 465901 (2017).
  39. P. Hohenberg and W. Kohn, Inhomogeneous electron gas, Phys. Rev. 136, B864 (1964).
  40. W. Kohn and L. J. Sham, Self-consistent equations including exchange and correlation effects, Phys. Rev. 140, A1133 (1965).
  41. J. P. Perdew, K. Burke, and M. Ernzerhof, Generalized gradient approximation made simple, Phys. Rev. Lett. 77, 3865 (1996).
  42. S. L. Dudarev, G. A. Botton, S. Y. Savrasov, C. J. Humphreys, and A. P. Sutton, Electron-energy-loss spectra and the structural stability of nickel oxide: An LSDA+U study, Phys. Rev. B 57, 1505 (1998).
  43. P. E. Blöchl, Projector augmented-wave method, Phys. Rev. B 50, 17953 (1994).
  44. A. Dal Corso, Pseudopotentials periodic table: From H to Pu, Comput. Mater. Sci. 95, 337 (2014).
  45. R. M. Wentzcovitch, J. L. Martins, and G. D. Price, Ab initio molecular dynamics with variable cell shape: Application to MgSiO3, Phys. Rev. Lett. 70, 3947 (1993).
  46. R. M. Wentzcovitch, Invariant molecular-dynamics approach to structural phase transitions, Phys. Rev. B 44, 2358 (1991).
  47. C. Autret, C. Martin, M. Hervieu, R. Retoux, B. Raveau, G. André, and F. Bourée, Structural investigation of Ca2MnO4 by neutron powder diffraction and electron microscopy, J. Solid State Chem. 177, 2044 (2004).
  48. R. D. Shannon, Revised effective ionic radii and systematic studies of interatomic distances in halides and chalcogenides, Acta Cryst. A 32, 751 (1976).
  49. R. Oka and T. Hayakawa, Raman spectroscopic investigation and electronic state calculation for Ca2(Mn,Ti)O4 black pigments with high near-infrared (NIR) reflectivity, Inorg. Chem. 61, 6500 (2022).
  50. J. Attfield, ‘A’ cation control of perovskite properties, Cryst. Eng. 5, 427 (2002).
  51. A. Herlihy, W.-T. Chen, C. Ritter, Y.-C. Chuang, and M. S. Senn, Interplay between Jahn–Teller distortions and structural phase transitions in Ruddlesden–Poppers, J. Am. Chem. Soc. 147, 7209 (2025).
  52. https://doi.org/10.54499/2024.00223.CERN.
  53. https://doi.org/10.54499/la/p/0095/2020.
  54. https://doi.org/10.54499/2023.01884.BD.
  55. https://doi.org/10.54499/PRT/BD/154996/2023.
  56. https://doi.org/10.54499/2023.07340.CEECIND/CP2833/CT0006.
  57. https://doi.org/10.54499/2022.04845.CEECIND/CP1719/CT0008.
  58. A. N. Cesário, S. Silva dos Santos, P. Rodrigues, N. L. Prasannan, P. Alexandre Silva de Sousa, J. G. Martins Correia, J. P. Esteves de Araújo, L. Vitoria Credidio Assali, H. Petrilli, M. Senn, A. M. L. Lopes, Dataset for: Local distortions and B-site-resolved environments in Ca2Mn1−xTixO4 solid solutions [Data set], Zenodo, 2026, doi:10.5281/zenodo.18434616.

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation