[PDF]     https://doi.org/10.3952/physics.2026.66.3.2

Open access article / Atviros prieigos straipsnis
Lith. J. Phys. 66, 146–153 (2026)
 


BROADBAND DIELECTRIC SPECTROSCOPY OF CALCIUM MODIFIED BaZrTiO3 RELAXOR CERAMICS
Paulius Jankauskasa, Agnieszka Wilkb, Kamil Feliksikc, Lucjan Kozielskic, Jūras Banysa, and Šarūnas Svirskasa
aFaculty of Physics, Vilnius University, Saulėtekio 3, 10257, Vilnius, Lithuania
bUniversity of Science and Technology, Faculty of Materials Science and Ceramics, al. Mickiewicza 30, 30-059 Krakow
cFaculty of Science and Technology, University of Silesia, 1A 75 Pułku Piechoty Street, 41-500 Chorzów, Poland
Email: sarunas.svirskas@ff.vu.lt

Received 8 December 2025; accepted 3 February 2026

In this work, we present the broadband dielectric spectroscopy results of Ca-modified BaZrxTi1–xO3 (x = 0.5; 0.6). The goal of the work is to understand if the relaxor ferroelectric properties of BZT are affected by the calcium substitution at the A-site of the perovskite lattice. The tolerance factor of calcium ions is below 1 so they are supposed to introduce a larger lattice distortion.
Thus, we carefully investigate two BZT (BZT50 and BZT40) compositions with 10% of calcium. To assess the influence of the substitution, we analyze the dielectric spectra and Vogel–Fulcher behaviour of mean relaxation time. This data is compared with the data of parental compositions that are available in the literature.
Keywords: relaxors, broadband dielectric spectroscopy, perovskites


KALCIU MODIFIKUOTŲ BaZrTiO3 KERAMIKŲ PLAČIAJUOSTĖ DIELEKTRINĖ SPEKTROSKOPIJA
  Paulius Jankauskasa, Agnieszka Wilkb, Kamil Feliksikc, Lucjan Kozielskic, Jūras Banysa, Šarūnas Svirskasa
aVilniaus universiteto Fizikos fakultetas, Vilnius, Lietuva
bMokslo ir technologijos universiteto Medžiagų mokslo ir keramikos fakultetas, Krokuva, Lenkija
cSilezijos universiteto Mokslo ir technologijos fakultetas, Chožuvas, Lenkija
 
Tirtos kalciu modifikuotų BaZrxTi1–xO3 (x = 0,5; 0,6) keramikų dielektrinės savybės. Darbo tikslas – išsiaiškinti, kaip netvarka perovskito gardelės A srities mazge keičia BZT dielektrines savybes. Kadangi kalcio jonų tolerancijos faktorius yra mažesnis nei 1, pakeitus bario jonus kalciu turėtų padidėti gardelės deformacija. Šiame darbe detaliai išnagrinėtos dvi BZT (BZT50 ir BZT40) kompozicijos su 10 % kalcio. Kalcio įtaka buvo vertinama nagrinėjant dielektrinius spektrus. Šie duomenys lyginami su literatūroje publikuotais BZT50 ir BZT40 keramikų tyrimų rezultatais.


References / Nuorodos

[1] S.-E. Park and T.R. Shrout, Ultrahigh strain and piezoelectric behavior in relaxor based ferroelectric single crystals, J. Appl. Phys. 82, 1804–1811 (1997),
https://doi.org/10.1063/1.365983
[2] F. Li, S. Zhang, T. Yang, Z. Xu, N. Zhang, G. Liu, J. Wang, J. Wang, Z. Cheng, Z.-G. Ye, J. Luo, T.R. Shrout, and L.-Q. Chen, The origin of ultrahigh piezoelectricity in relaxor-ferroelectric solid solution crystals, Nat. Commun. 7, 13807 (2016),
https://doi.org/10.1038/ncomms13807
[3] R. Blinc, J. Dolinšek, A. Gregorovič, B. Zalar, C. Filipič, Z. Kutnjak, A. Levstik, and R. Pirc, NMR and the spherical random bond–random field model of relaxor ferroelectrics, J. Phys. Chem. Solids 61, 177–183 (2000),
https://doi.org/10.1016/S0022-3697(99)00279-6
[4] W. Kleemann, The relaxor enigma – charge disorder and random fields in ferroelectrics, J. Mater. Sci. 41, 129–136 (2006),
https://doi.org/10.1007/s10853-005-5954-0
[5] H. Takenaka, I. Grinberg, and A.M. Rappe, Anisotropic local correlations and dynamics in a relaxor ferroelectric, Phys. Rev. Lett. 110, 147602 (2013),
https://doi.org/10.1103/PhysRevLett.110.147602
[6] M. Eremenko, V. Krayzman, A. Bosak, H.Y. Playford, K.W. Chapman, J.C. Woicik, B. Ravel, and I. Levin, Local atomic order and hierarchical polar nanoregions in a classical relaxor ferroelectric, Nat. Commun. 10, 1–9 (2019),
https://doi.org/10.1038/s41467-019-10665-4
[7] R.E. Cohen, Origin of ferroelectricity in perovskite oxides, Nature 358, 136–138 (1992),
https://doi.org/10.1038/358136a0
[8] G. Canu, G. Confalonieri, M. Deluca, L. Curecheriu, M.T. Buscaglia, M. Asandulesa, N. Horchidan, M. Dapiaggi, L. Mitoseriu, and V. Buscaglia, Structure-property correlations and origin of relaxor behaviour in BaCexTi1–xO3, Acta Mater. 152, 258–268 (2018),
https://doi.org/10.1016/j.actamat.2018.04.038
[9] V.V. Shvartsman, J. Dec, Z.K. Xu, J. Banys, P. Keburis, and W. Kleemann, Crossover from ferroelectric to relaxor behavior in BaTi1–xSn × O3 solid solutions, Phase Transit. 81, 1013–1021 (2008),
https://doi.org/10.1080/01411590802457888
[10] V.V. Shvartsman, J. Zhai, and W. Kleemann, The dielectric relaxation in solid solutions BaTi1–xZrxO3, Ferroelectrics 379, 77–85 (2009),
https://doi.org/10.1080/00150190902850822
[11] D. Sherrington, BZT: A soft pseudospin glass, Phys. Rev. Lett. 111, 227601 (2013),
https://doi.org/10.1103/PhysRevLett.111.227601
[12] W. Kleemann, Relaxor ferroelectrics: Cluster glass ground state via random fields and random bonds, Phys. Status Solidi B 251, 1993–2002 (2014),
https://doi.org/10.1002/pssb.201350310
[13] C. Filipič, G. Canu, R. Pirc, and Z. Kutnjak, Glassy properties of the lead-free isovalent relaxor BaZr0.4Ti0.6O3, Crystals 13, 1303 (2023),
https://doi.org/10.3390/cryst13091303
[14] C. Filipič, Z. Kutnjak, R. Pirc, G. Canu, and J. Petzelt, BaZr0.5Ti0.5O3: Lead-free relaxor ferroelectric or dipolar glass, Phys. Rev. B 93, 224105 (2016),
https://doi.org/10.1103/PhysRevB.93.224105
[15] G. Burns, B.A. Scott, Index of refraction in ‘dirty’ displacive ferroelectrics, Solid State Commun. 13, 423–426 (1973),
https://doi.org/10.1016/0038-1098(73)90622-4
[16] G. Burns and B.A. Scott, ‘Dirty’ displacive ferroelectrics, Solid State Commun. 13, 417–421 (1973),
https://doi.org/10.1016/0038-1098(73)90621-2
[17] D. Viehland, S.J. Jang, L.E. Cross, and M. Wuttig, Freezing of the polarization fluctuations in lead magnesium niobate relaxors, J. Appl. Phys. 68, 2916–2921 (1990),
 https://doi.org/10.1063/1.346425
[18] R. Grigalaitis, J. Banys, A. Sternberg, K. Bormanis, and V. Zauls, Dynamics of polar clusters in PMN ceramics: Comparison with PMN single crystal, Ferroelectrics 340, 147–153 (2006),
https://doi.org/10.1080/00150190600889221.
[19] J. Macutkevic, S. Lapinskas, J. Grigas, A. Brilingas, J. Banys, R. Grigalaitis, K. Meskonis, K. Bormanis, A. Sternberg, and V. Zauls, Distribution of the relaxation times of the new relaxor 0.4PSN–0.3PMN–0.3PZN ceramics, J. Eur. Ceram. Soc. 25, 2515–2519 (2005),
https://doi.org/10.1016/j.jeurceramsoc.2005.03.093
[20] S. Kamba, V. Bovtun, J. Petzelt, I. Rychetsky, R. Mizaras, A. Brilingas, J. Banys, J. Grigas, and M. Kosec, Dielectric dispersion of the relaxor PLZT ceramics in the frequency range 20 Hz–100 Hz, J. Phys. Condens. Matter 12, 497 (2000),
https://doi.org/10.1088/0953-8984/12/4/309
[21] D. Nuzhnyy, J. Petzelt, M. Savinov, T. Ostapchuk, V. Bovtun, M. Kempa, J. Hlinka, V. Buscaglia, M.T. Buscaglia, and P. Nanni, Broadband dielectric response of Ba(Zr, Ti)O3 ceramics: From incipient via relaxor and diffuse up to classical ferroelectric behavior, Phys. Rev. B 86, 014106 (2012),
https://doi.org/10.1103/PhysRevB.86.014106
[22] J. Petzelt, V. Bovtun, D. Nuzhnyy, M. Kempa, M. Savinov, M. Paściak, S. Kamba, G. Canu, and V. Buscaglia, Broadband dielectric, terahertz, and infrared spectroscopy of BaTiO3–BaZrO3 solid solution: From proper ferroelectric over diffuse and relaxor ferroelectrics and dipolar glass to normal dielectric, Phys. Status Solidi B. 258, 2100259 (2021),
https://doi.org/10.1002/pssb.202100259
[23] Š. Svirskas, D. Adamchuk, R. Grigalaitis, D. Jablonskas, J. Macutkevič, G. Canu, M.T. Buscaglia, V. Buscaglia, L. Curecheriu, L. Mitoseriu, and J. Banys, Dipolar glass state in BaCe0.3Ti0.7O3 perovskite solid solutions, J. Alloys Compd. 854, 155755 (2021),
https://doi.org/10.1016/j.jallcom.2020.155755
[24] R. Pirc and R. Blinc, Off-center Ti model of barium titanate, Phys. Rev. B 70, 134107 (2004),
https://doi.org/10.1103/PhysRevB.70.134107
[25] J. Banys, A. Kajokas, S. Lapinskas, A. Brilingas, J. Grigas, J. Petzelt, and S. Kamba, Microwave and millimetre-wave dielectric response of Rb1–x(ND4)D2PO4 dipolar glass, J. Phys. Condens. Matter 14, 3725–3733 (2002),
https://doi.org/10.1088/0953-8984/14/14/305
[26] V. Veerapandiyan, M.N. Popov, F. Mayer, J. Spitaler, S. Svirskas, V. Kalendra, J. Lins, G. Canu, M.T. Buscaglia, M. Pasciak, J. Banys, P.B. Groszewicz, V. Buscaglia, J. Hlinka, and M. Deluca, Origin of relaxor behavior in barium-titanate-based lead-free perovskites, Adv. Electron. Mater. 8, 2100812 (2022),
https://doi.org/10.1002/aelm.202100812
[27] Š. Svirskas, D. Jablonskas, S. Rudys, S. Lapinskas, R. Grigalaitis, and J. Banys, Broad-band measurements of dielectric permittivity in coaxial line using partially filled circular waveguide, Rev. Sci. Instrum. 91, 035106 (2020),
https://doi.org/10.1063/1.5136317
[28] A.R. Akbarzadeh, S. Prosandeev, E.J. Walter, A. Al-Barakaty, and L. Bellaiche, Finite-temperature properties of Ba(Zr, Ti)O3 relaxors from first principles, Phys. Rev. Lett. 108, 257601 (2012),
https://doi.org/10.1103/PhysRevLett.108.257601
[29] W. Kleemann, S. Miga, J. Dec, and J. Zhai, Crossover from ferroelectric to relaxor and cluster glass in BaTi1–xZrxO3 (x = 0.25–0.35) studied by non-linear permittivity, Appl. Phys. Lett. 102, 232907 (2013),
https://doi.org/10.1063/1.4811089
[30] M. Itoh and H. Taniguchi, Ferroelectricity in perovskite-type oxides, Ferroelectrics 369, 127–132 (2008),
https://doi.org/10.1080/00150190802377918
[31] R. Zorn, Logarithmic moments of relaxation time distributions, J. Chem. Phys. 116, 3204–3209 (2002),
https://doi.org/10.1063/1.1446035
[32] R. Zorn, Applicability of distribution functions for the Havriliak–Negami spectral function, J. Polym. Sci. B 37, 1043–1044 (1999),
https://doi.org/10.1002/(SICI)1099-0488(19990515)37:10<1043::AID-POLB9>3.0.CO;2-H
[33] R. Pirc and R. Blinc, Vogel-Fulcher freezing in relaxor ferroelectrics, Phys. Rev. B 76, 020101 (2007),
https://doi.org/10.1103/PhysRevB.76.020101