Journal of Inorganic Materials, Volume. 40, Issue 6, 656(2025)

Rattling Effect: A New Mechanism Affecting the Resonant Frequency Temperature Coefficient of Microwave Dielectric Ceramics

Ying TANG1, Jie LI1、*, Huaicheng XIANG1, Weishuang FANG1,2, Huixing LIN2, Junfeng YANG3, and Liang FANG1、*
Author Affiliations
  • 11. Key Lab of New Processing Technology for Nonferrous Metals and Materials Ministry of Education, Guangxi Key Laboratory of Optical and Electronic Materials and Devices, College of Materials Science and Engineering, Guilin University of Technology, Guilin 541004, China
  • 22. Key Laboratory of Inorganic Functional Material and Device, Shanghai Institute of Ceramics, Chinese Academy of Sciences, Shanghai 200050, China
  • 33. Aurora Technologies Co., Ltd., Guangzhou 510288, China
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    Microwave dielectric ceramics are the key basic materials of 5G/6G communication technology, with particular emphasis on the materials that exhibit a high quality factor (Q×f), low dielectric constant (εr) and near-zero temperature coefficient of resonant frequency (τf). However, most low-εr materials tend to have a significantly negative τf value. This study provides a systematic overview of the classical ionic polarizability dilution mechanism and phase transition mechanism, along with the structural factors affecting τf, such as unit cell volume mechanism, oxygen polyhedron distortion, bond energy, bond ionicity, and bond valence. Subsequently, the anomalous changes in τf in the cubic normal and inverse garnet systems without phase transition are described in detail. The “Rattling” effect is introduced as a novel mechanism affecting the τf of microwave dielectric ceramics. Cations involved in “Rattling”, characterized by high coordination and weak chemical bonds, are the primary factors affecting the overall microwave dielectric polarization and loss of the material. This phenomenon results in an increase in ionic polarizability and εr, a forward shift in τf and a reduction in Q×f value, which has been verified and applied in many different material systems. Furthermore, the introduction of a weighted function for total ion polarization deviation serves to evaluate the impact of the entire molecule's “Rattling” and “Compressed” effects on εr. A novel concept of temperature coefficient of ionic polarizability (ταm) is also proposed, allowing for quantitative calculation. This simplifies the factors that affect the positive and negative of dielectric constant temperature coefficient (τε), by relating it to εr, ταm and linear expansion coefficient αL.

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    Ying TANG, Jie LI, Huaicheng XIANG, Weishuang FANG, Huixing LIN, Junfeng YANG, Liang FANG. Rattling Effect: A New Mechanism Affecting the Resonant Frequency Temperature Coefficient of Microwave Dielectric Ceramics[J]. Journal of Inorganic Materials, 2025, 40(6): 656

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    Paper Information

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    Received: Dec. 18, 2024

    Accepted: --

    Published Online: Sep. 2, 2025

    The Author Email: Jie LI (jielee@glut.edu.cn), Liang FANG (fanglianggl001@aliyun.com)

    DOI:10.15541/jim20240529

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