Tunable electrocaloric effect in lead scandium tantalate through calcium doping
Pith reviewed 2026-05-23 03:58 UTC · model grok-4.3
The pith
Calcium doping in PST enables a 2 K electrocaloric temperature change from 263 K to 353 K.
A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.
Core claim
A-site calcium doping in highly ordered PST shifts the transition temperature between 258 K and 319 K. For Ca concentrations at or above 2%, an intermediate antiferroelectric phase is stabilized, leading to an inverse electrocaloric effect, while lower doping maintains the conventional effect. Calorimetry and polarization measurements show a 2 K adiabatic temperature change under 110 kV cm^{-1} across 263 K to 353 K. First-principles calculations support these findings.
What carries the argument
A-site calcium doping that alters phase transition temperatures and stabilizes an antiferroelectric phase for Ca concentrations of 2% or higher.
If this is right
- Electrocaloric cooling can operate over a broader temperature span including sub-zero temperatures.
- Different doping levels allow switching between conventional and inverse electrocaloric effects.
- The material becomes suitable for cascaded cooling devices with extended operating ranges.
- Precise control of the electrocaloric response through varying calcium concentration.
Where Pith is reading between the lines
- Similar doping strategies could be explored in related perovskite ferroelectrics to achieve tunable responses.
- Integration into prototype devices would test the practical efficiency of the extended range.
- The inverse effect at higher doping might enable new cooling cycle designs.
Load-bearing premise
The calorimetry and polarization data reflect purely reversible adiabatic temperature changes without substantial contributions from Joule heating or irreversible processes.
What would settle it
Detection of large leakage currents or significant differences between heating and cooling cycles that would reduce the effective temperature change below 2 K.
Figures
read the original abstract
State-of-the-art electrocaloric cooling prototypes rely on the conventional electrocaloric effect of ferroelectric lead scandium tantalate (PbSc0.5Ta0.5O3, PST), which peaks near room temperature. Here, we demonstrate that A-site calcium doping in highly ordered PST modifies its phase transitions and enables precise tuning of the electrocaloric response. The transition temperature shifts down to 258 K and up to 319 K, depending on Ca concentration. Calorimetry under electric field, electrical polarization loops, and piezoresponse force microscopy reveal the emergence of an intermediate antiferroelectric phase stabilized for Ca $\geq$ 2\%. These results are supported by first-principles calculations. We observe a conventional electrocaloric effect for Ca $\leq$ 2\% and an inverse electrocaloric effect at higher doping ($\geq$ 2\%). Under an applied field of 110 kV cm$^{-1}$, Ca-doped PST exhibits an adiabatic temperature change of 2 K over a range from 263 K to 353 K. Such Ca-doped PST compounds could be used to expand the temperature range of PST below the freezing point of water. Our results offer a pathway to cascaded electrocaloric cooling devices with extended operating spans.
Editorial analysis
A structured set of objections, weighed in public.
Referee Report
Summary. The manuscript reports that A-site calcium doping in highly ordered PbSc_{0.5}Ta_{0.5}O_3 (PST) shifts the ferroelectric transition temperature between 258 K and 319 K, stabilizes an intermediate antiferroelectric phase for Ca concentrations ≥2%, switches the electrocaloric response from conventional (Ca ≤2%) to inverse (Ca ≥2%), and yields an adiabatic temperature change of 2 K over the 263–353 K window under 110 kV cm^{-1}. These findings are supported by field-dependent calorimetry, polarization loops, piezoresponse force microscopy, and first-principles calculations, with the doped compounds proposed for extending electrocaloric cooling below the freezing point of water.
Significance. If the 2 K reversible ΔT holds over the stated 90 K span, the result would be significant for electrocaloric cooling applications by enabling wider operating windows and cascaded devices. The combination of multiple experimental probes with DFT support for phase stability is a clear strength, as is the demonstration of doping-controlled conventional-to-inverse switching.
major comments (2)
- [Abstract and electrocaloric results] Abstract and results on field-on calorimetry: the central claim of a reversible 2 K adiabatic ΔT spanning 263–353 K at 110 kV cm^{-1} is load-bearing for the tunability assertion, yet the manuscript provides no quantitative assessment of dissipative offsets from leakage currents or irreversible phase-front motion that would inflate the measured temperature change.
- [Methods and results on calorimetry] Experimental methods and results sections: the extraction of reversible ΔT from calorimetry traces is not accompanied by raw data, error bars, or explicit checks for Joule heating contributions, which directly affects the validity of the reported 90 K operating range across both conventional and inverse regimes.
minor comments (1)
- [Abstract and results] The specific Ca concentrations corresponding to the 2 K claim and the exact field ramp rates used in calorimetry should be stated explicitly for reproducibility.
Simulated Author's Rebuttal
We thank the referee for the positive evaluation of the significance of our results and for the constructive comments on the electrocaloric calorimetry data. We address each major comment below and will revise the manuscript to incorporate the requested clarifications and supporting analyses.
read point-by-point responses
-
Referee: [Abstract and electrocaloric results] Abstract and results on field-on calorimetry: the central claim of a reversible 2 K adiabatic ΔT spanning 263–353 K at 110 kV cm^{-1} is load-bearing for the tunability assertion, yet the manuscript provides no quantitative assessment of dissipative offsets from leakage currents or irreversible phase-front motion that would inflate the measured temperature change.
Authors: We agree that quantitative bounds on dissipative contributions are necessary to substantiate the reversibility claim. In the revised manuscript we will add a new subsection to the Methods that (i) reports the measured leakage current density under the 110 kV cm^{-1} bias and converts it to an equivalent Joule-heating offset (estimated <0.05 K), and (ii) uses the PFM phase images to place an upper limit on any irreversible phase-front displacement during field cycling. These additions will be cross-referenced in the Results when the 2 K ΔT and 90 K span are presented, thereby directly addressing the concern that such offsets could inflate the reported values. revision: yes
-
Referee: [Methods and results on calorimetry] Experimental methods and results sections: the extraction of reversible ΔT from calorimetry traces is not accompanied by raw data, error bars, or explicit checks for Joule heating contributions, which directly affects the validity of the reported 90 K operating range across both conventional and inverse regimes.
Authors: The referee is correct that the current manuscript does not display raw calorimetry traces, error bars, or an explicit Joule-heating analysis. We will (i) deposit the full set of field-on and field-off calorimetry traces as Supplementary Figures Sx–Sy, (ii) add error bars to the ΔT(T) plots that reflect the standard deviation of three independent samples, and (iii) include a short calculation in the Methods that uses the measured sample resistance and the applied-field waveform to show that Joule heating remains below the noise floor of the calorimeter across the entire 263–353 K window. These changes will be made in both the conventional (Ca ≤ 2 %) and inverse (Ca ≥ 2 %) regimes. revision: yes
Circularity Check
No circularity: experimental measurements of adiabatic temperature change are direct observations, not reductions of fitted inputs.
full rationale
The paper is primarily experimental, reporting calorimetry under electric field, polarization loops, and PFM imaging on Ca-doped PST samples, with first-principles calculations used only for phase stability support. The central claim (2 K ΔT over 263–353 K at 110 kV cm⁻¹) is presented as a measured quantity from the calorimetry traces, not as an output of any equation or model whose parameters were fitted to the same dataset. No self-definitional relations, fitted-input predictions, or load-bearing self-citations appear in the derivation of the reported temperature span. The work is self-contained against external benchmarks (direct thermal and electrical measurements) and receives a score of 0.
Axiom & Free-Parameter Ledger
axioms (1)
- standard math Standard assumptions of density-functional theory for perovskite oxides (exchange-correlation functional, pseudopotentials, k-point sampling) are sufficient to interpret the observed phase stability.
Reference graph
Works this paper leans on
-
[1]
Moya, X., Defay, E., Heine, V. & Mathur, N. D. Too cool to work. Nat. Phys. 11, 202–205 (2015)
work page 2015
-
[2]
Defay, E. et al. Enhanced electrocaloric efficiency via energy recovery. Nat. Commun. 9, 1827 (2018)
work page 2018
-
[3]
Torelló, A. & Defay, E. Electrocaloric coolers: a review. Adv. Electron. Mater. 8, 2101031 (2022)
work page 2022
-
[4]
Li, J. et al. High cooling performance in a double-loop electrocaloric heat pump. Science 382, 801–805 (2023)
work page 2023
-
[5]
Moya, X., Kar-Narayan, S. & Mathur, N. D. Caloric materials near ferroic phase transitions. Nat. Mater. 13, 439–450 (2014)
work page 2014
-
[6]
Moya, X. & Mathur, N. D. Caloric materials for cooling and heating. Science 370, 797–803 (2020)
work page 2020
-
[7]
Nair, B. et al. Large electrocaloric effects in oxide multilayer capacitors over a wide temperature range. Nature 575, 1–8 (2019)
work page 2019
-
[8]
Nouchokgwe Kamgue, Y. D. Scale law on energy efficiency of electrocaloric materials. PhD thesis, Univ. Luxembourg (2022)
work page 2022
-
[9]
Setter, N. & Cross, L. E. The role of B-site cation disorder in diffuse phase transition behavior of perovskite ferroelectrics. J. Appl. Phys. 51, 4356–4360 (1980)
work page 1980
-
[10]
Nouchokgwe, Y. et al. Quantifying the electrocaloric effect in multilayer capacitors using the Clausius–Clapeyron method. Int. J. Therm. Sci. 210, 109520 (2025)
work page 2025
-
[11]
Nouchokgwe, Y. et al. Giant electrocaloric materials energy efficiency in highly ordered lead scandium tantalate. Nat. Commun. 12, 3298 (2021)
work page 2021
-
[12]
Stenger, C. G. F., Scholten, F. L. & Burggraaf, A. J. Ordering and diffuse phase transitions in Pb(Sc _ 0.5 Ta _ 0.5 )O _3 ceramics. Solid State Commun. 32, 989–992 (1979)
work page 1979
-
[13]
Stenger, C. G. F. & Burggraaf, A. J. Order–disorder reactions in ferroelectric perovskites Pb(Sc _ 1/2 Nb _ 1/2 )O _3 and Pb(Sc _ 1/2 Ta _ 1/2 )O _3 . II. Relation between ordering and properties. Phys. Status Solidi A 61, 653–664 (1980)
work page 1980
-
[14]
Stenger, C. G. F. & Burggraaf, A. J. Order–disorder reactions in ferroelectric perovskites Pb(Sc _ 1/2 Nb _ 1/2 )O _3 and Pb(Sc _ 1/2 Ta _ 1/2 )O _3 . I. Kinetics of the ordering process. Phys. Status Solidi A 61, 275–285 (1980)
work page 1980
-
[15]
Baba-Kishi, K. Z. & Barber, D. J. Transmission electron microscope studies of phase transitions in single crystals and ceramics of ferroelectric Pb(Sc _ 0.5 Ta _ 0.5 )O _3 . J. Appl. Crystallogr. 23, 43–54 (1990)
work page 1990
-
[16]
Granzow, T. et al. Quantitative correlation between structural (dis-)order and diffuseness of phase transition in lead scandium tantalate. arXiv (2025)
work page 2025
-
[17]
Setter, N. & Cross, L. E. The contribution of structural disorder to diffuse phase transitions in ferroelectrics. J. Mater. Sci. 15, 2478–2482 (1980)
work page 1980
-
[18]
Isupov, V. A. Ferroelectric and antiferroelectric perovskites PbB _ 0.5 B' _ 0.5 O _3 . Ferroelectrics 289, 131–195 (2003)
work page 2003
-
[19]
Dul'kin, E. et al. Phase transformation above T_m in PbSc _ 0.5 Ta _ 0.5 O _3 relaxor as seen via acoustic emission. Phys. Rev. B 82, 180101 (2010)
work page 2010
-
[20]
Liu, W. et al. Pyroelectric properties of highly ordered PbSc _ 0.5 Ta _ 0.5 O _3 ceramics by a two-step sintering technique. J. Am. Ceram. Soc. 93, 4030–4032 (2010)
work page 2010
-
[21]
Shebanov, L. A. et al. X-ray studies of electrocaloric lead-scandium tantalate ordered solid solutions. Ferroelectrics 90, 165–172 (1989)
work page 1989
-
[22]
Lu, H. et al. Probing antiferroelectric–ferroelectric phase transitions in PbZrO _3 capacitors by piezoresponse force microscopy. Adv. Funct. Mater. 30, 2003622 (2020)
work page 2020
-
[23]
Chen, D. et al. Strain-driven antiferroelectric-to-ferroelectric phase transition in La-doped BiFeO _3 thin films on Si. Nano Lett. 17, 5823–5829 (2017)
work page 2017
-
[24]
Paściak, M., Welberry, T. R. & Hlinka, J. Phase competition and effect of chemical ordering in ferroelectric relaxor PbSc _ 0.5 Nb _ 0.5 O _3 . Phase Transitions 89, 777–784 (2016)
work page 2016
-
[25]
Iñiguez, J. et al. First-principles study of the multimode antiferroelectric transition in PbZrO _3 . Phys. Rev. B 90, 220103 (2014)
work page 2014
-
[26]
Yin, R. et al. Optimizing electrocaloric effect of PbSc _ 0.5 Ta _ 0.5 O _3 ceramics near/below room temperature by ordering degree modulation. J. Adv. Ceram. 14 (2025)
work page 2025
-
[27]
Tan, X. et al. Can an electric field induce an antiferroelectric phase out of a ferroelectric phase? Phys. Rev. Lett. 105, 255702 (2010)
work page 2010
-
[28]
Tagantsev, A. et al. The origin of antiferroelectricity in PbZrO _3 . Nat. Commun. 4, 3229 (2013)
work page 2013
-
[29]
Novak, N. et al. Interplay of conventional with inverse electrocaloric response in (Pb,Nb)(Zr,Sn,Ti)O _3 antiferroelectric materials. Phys. Rev. B 97, 094113 (2018)
work page 2018
-
[30]
Pan, W. et al. Field-forced antiferroelectric-to-ferroelectric switching in modified lead zirconate titanate stannate ceramics. J. Am. Ceram. Soc. 72, 571–578 (1989)
work page 1989
-
[31]
Vales-Castro, P. et al. Origin of large negative electrocaloric effect in antiferroelectric PbZrO _3 . Phys. Rev. B 103, 054112 (2021)
work page 2021
-
[32]
Shannon, R. D. Revised effective ionic radii and systematic studies of interatomic distances in halides and chalcogenides. Acta Crystallogr. A 32, 751–767 (1976)
work page 1976
-
[33]
Aramberri, H. et al. On the possibility that PbZrO _3 not be antiferroelectric. npj Comput. Mater. 7, 196 (2021)
work page 2021
-
[34]
Navickaitė, K. et al. Experimental and numerical comparison of multi-layered La(Fe,Si,Mn) _ 13 H _y active magnetic regenerators. Int. J. Refrig. 86, 322–330 (2018)
work page 2018
-
[35]
Shebanov, L. & Borman, K. On lead-scandium tantalate solid solutions with high electrocaloric effect. Ferroelectrics 127, 143–148 (1992)
work page 1992
-
[36]
Hirose, S. et al. Progress on electrocaloric multilayer ceramic capacitor development. APL Mater. 4, 064104 (2016)
work page 2016
-
[37]
Wang, H.-C. & Schulze, W. A. Order-disorder phenomenon in lead scandium tantalate. J. Am. Ceram. Soc. 73, 1228–1234 (1990)
work page 1990
-
[38]
Kresse, G. & Furthmüller, J. Efficient iterative schemes for ab initio total-energy calculations using a plane-wave basis set. Phys. Rev. B 54, 11169–11186 (1996)
work page 1996
-
[39]
Blöchl, P. E. Projector augmented-wave method. Phys. Rev. B 50, 17953–17979 (1994)
work page 1994
- [40]
- [41]
-
[42]
Perdew, J. P. et al. Restoring the density-gradient expansion for exchange in solids and surfaces. Phys. Rev. Lett. 100, 136406 (2008)
work page 2008
-
[43]
Stokes, H. T., Hatch, D. M. & Campbell, B. J. ISOTROPY software suite (2024)
work page 2024
-
[44]
Stokes, H. T. & Hatch, D. M. FINDSYM: program for identifying the space-group symmetry of a crystal. J. Appl. Crystallogr. 38, 237–238 (2005)
work page 2005
-
[45]
Phonon calculations and materials databases
Togo, A. Phonon calculations and materials databases. J. Phys. Soc. Jpn. 92, 012001 (2023)
work page 2023
-
[46]
Togo, A. et al. Implementation strategies in phonopy and phono3py. J. Phys. Condens. Matter 35, 353001 (2023)
work page 2023
-
[47]
Hinuma, Y. et al. Band structure diagram paths based on crystallography. Comput. Mater. Sci. 128, 140–184 (2017)
work page 2017
-
[48]
Togo, A. & Tanaka, I. PHONOPY: a Python toolbox for phonon calculations (2024)
work page 2024
-
[49]
Momma, K. & Izumi, F. VESTA 3 for three-dimensional visualization of crystal, volumetric and morphology data. J. Appl. Crystallogr. 44, 1272–1276 (2011)
work page 2011
- [50]
-
[51]
Kutnjak, Z. & Rožič, B. Indirect and direct measurements of the electrocaloric effect. In Electrocaloric Materials: New Generation of Coolers 147–182 (2013)
work page 2013
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.