Structure and microwave dielectric characteristics of (Ba,Sr,Ca)HfO3 ceramics

In the present work, the structure and microwave dielectric properties of (Ba,Sr,Ca)HfO3 ceramics were systematically investigated to understand the general mechanism of tuning the temperature coefficient of resonant frequency, τf in perovskite ceramics. Ba1–xSrxHfO3 and Sr1–yCayHfO3 could form cont...

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Main Authors: Xi Wang, Yi Han Ding, Xiao Li Zhu, Lei Li, Xiang Ming Chen
Format: Article
Language:English
Published: Elsevier 2025-05-01
Series:Journal of Materiomics
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Online Access:http://www.sciencedirect.com/science/article/pii/S2352847824001631
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author Xi Wang
Yi Han Ding
Xiao Li Zhu
Lei Li
Xiang Ming Chen
author_facet Xi Wang
Yi Han Ding
Xiao Li Zhu
Lei Li
Xiang Ming Chen
author_sort Xi Wang
collection DOAJ
description In the present work, the structure and microwave dielectric properties of (Ba,Sr,Ca)HfO3 ceramics were systematically investigated to understand the general mechanism of tuning the temperature coefficient of resonant frequency, τf in perovskite ceramics. Ba1–xSrxHfO3 and Sr1–yCayHfO3 could form continuous solid solutions while the solid solubility of Ca in Ba1–yCayHfO3 was about 20% (in mole). τf changed nonlinearly with increasing tolerance factor as the result of competition between the increase in the restoring force on the ions and the increase in polarizability. Under the guidance of three microscopic mechanisms affecting τf, a preliminary attempt was made to explore the suitable parameters to predict the variation trend of τf. Normalized ionic radii and the τf values of the end members were selected as independent variables, and τf was calculated by using multiple linear regression method. For Ba1–xSrxHfO3 and Sr1–yCayHfO3 with orthorhombic structures, the root mean square error between the calculated and measured τf was only 6.8 × 10−6 °C−1. The good agreement between the calculated τf values and the measured ones in Ba1–x–ySrxCayHfO3 ceramics confirmed its validity where three elements jointly occupy A-site, but it only works when there is no structural phase transition. Progresses in this research field would not only deepen our understanding of mechanism of regulating properties in multi-ion solid solutions, but also boost the developments of closely related fields such as machine learning-assisted design and high-entropy ceramics. Finally, a good combination of microwave dielectric properties was achieved in Sr0.15Ca0.85Hf0.96Ti0.040O3: εr = 27.8, Qf = 36,470 GHz, τf = +5 × 10−6 °C−1.
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spelling doaj-art-a191186b19d94e49bfa463a16e2d341d2025-08-20T02:47:10ZengElsevierJournal of Materiomics2352-84782025-05-0111310092410.1016/j.jmat.2024.07.009Structure and microwave dielectric characteristics of (Ba,Sr,Ca)HfO3 ceramicsXi Wang0Yi Han Ding1Xiao Li Zhu2Lei Li3Xiang Ming Chen4School of Materials Science and Engineering, Zhejiang University, 866 Yuhangtang Road, Hangzhou, 310058, ChinaSchool of Materials Science and Engineering, Zhejiang University, 866 Yuhangtang Road, Hangzhou, 310058, ChinaCorresponding author.; School of Materials Science and Engineering, Zhejiang University, 866 Yuhangtang Road, Hangzhou, 310058, ChinaSchool of Materials Science and Engineering, Zhejiang University, 866 Yuhangtang Road, Hangzhou, 310058, ChinaCorresponding author.; School of Materials Science and Engineering, Zhejiang University, 866 Yuhangtang Road, Hangzhou, 310058, ChinaIn the present work, the structure and microwave dielectric properties of (Ba,Sr,Ca)HfO3 ceramics were systematically investigated to understand the general mechanism of tuning the temperature coefficient of resonant frequency, τf in perovskite ceramics. Ba1–xSrxHfO3 and Sr1–yCayHfO3 could form continuous solid solutions while the solid solubility of Ca in Ba1–yCayHfO3 was about 20% (in mole). τf changed nonlinearly with increasing tolerance factor as the result of competition between the increase in the restoring force on the ions and the increase in polarizability. Under the guidance of three microscopic mechanisms affecting τf, a preliminary attempt was made to explore the suitable parameters to predict the variation trend of τf. Normalized ionic radii and the τf values of the end members were selected as independent variables, and τf was calculated by using multiple linear regression method. For Ba1–xSrxHfO3 and Sr1–yCayHfO3 with orthorhombic structures, the root mean square error between the calculated and measured τf was only 6.8 × 10−6 °C−1. The good agreement between the calculated τf values and the measured ones in Ba1–x–ySrxCayHfO3 ceramics confirmed its validity where three elements jointly occupy A-site, but it only works when there is no structural phase transition. Progresses in this research field would not only deepen our understanding of mechanism of regulating properties in multi-ion solid solutions, but also boost the developments of closely related fields such as machine learning-assisted design and high-entropy ceramics. Finally, a good combination of microwave dielectric properties was achieved in Sr0.15Ca0.85Hf0.96Ti0.040O3: εr = 27.8, Qf = 36,470 GHz, τf = +5 × 10−6 °C−1.http://www.sciencedirect.com/science/article/pii/S2352847824001631Microwave dielectric ceramicsTemperature coefficient of resonant frequencyPerovskiteQuantitative composition-property relationship
spellingShingle Xi Wang
Yi Han Ding
Xiao Li Zhu
Lei Li
Xiang Ming Chen
Structure and microwave dielectric characteristics of (Ba,Sr,Ca)HfO3 ceramics
Journal of Materiomics
Microwave dielectric ceramics
Temperature coefficient of resonant frequency
Perovskite
Quantitative composition-property relationship
title Structure and microwave dielectric characteristics of (Ba,Sr,Ca)HfO3 ceramics
title_full Structure and microwave dielectric characteristics of (Ba,Sr,Ca)HfO3 ceramics
title_fullStr Structure and microwave dielectric characteristics of (Ba,Sr,Ca)HfO3 ceramics
title_full_unstemmed Structure and microwave dielectric characteristics of (Ba,Sr,Ca)HfO3 ceramics
title_short Structure and microwave dielectric characteristics of (Ba,Sr,Ca)HfO3 ceramics
title_sort structure and microwave dielectric characteristics of ba sr ca hfo3 ceramics
topic Microwave dielectric ceramics
Temperature coefficient of resonant frequency
Perovskite
Quantitative composition-property relationship
url http://www.sciencedirect.com/science/article/pii/S2352847824001631
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