Ultra-Low Dielectric Constant Ca<sub>3</sub>(BO<sub>3</sub>)<sub>2</sub> Microwave Ceramics and Their Performance Simulation in 5G Microstrip Patch Antennas

Ca<sub>3</sub>(BO<sub>3</sub>)<sub>2</sub> microwave dielectric ceramics with space group R-3c (#167) were prepared by cold sintering, and their properties were systematically investigated. Phonon density of state diagrams for the Ca<sub>3</sub>(BO<...

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Main Authors: Fangyuan Liu, Fuzhou Song, Wanghuai Zhu, Zhengpu Zhang, Zhonghua Yao, Hanxing Liu, Huaao Sun, Guangran Lin, Yue Xu, Lingcui Zhang, Yan Shen, Jinbo Zhao, Zeming Qi, Feng Shi, Jinghui Li
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Language:English
Published: MDPI AG 2025-06-01
Series:Crystals
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Online Access:https://www.mdpi.com/2073-4352/15/7/599
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author Fangyuan Liu
Fuzhou Song
Wanghuai Zhu
Zhengpu Zhang
Zhonghua Yao
Hanxing Liu
Huaao Sun
Guangran Lin
Yue Xu
Lingcui Zhang
Yan Shen
Jinbo Zhao
Zeming Qi
Feng Shi
Jinghui Li
author_facet Fangyuan Liu
Fuzhou Song
Wanghuai Zhu
Zhengpu Zhang
Zhonghua Yao
Hanxing Liu
Huaao Sun
Guangran Lin
Yue Xu
Lingcui Zhang
Yan Shen
Jinbo Zhao
Zeming Qi
Feng Shi
Jinghui Li
author_sort Fangyuan Liu
collection DOAJ
description Ca<sub>3</sub>(BO<sub>3</sub>)<sub>2</sub> microwave dielectric ceramics with space group R-3c (#167) were prepared by cold sintering, and their properties were systematically investigated. Phonon density of state diagrams for the Ca<sub>3</sub>(BO<sub>3</sub>)<sub>2</sub> lattice were obtained based on first-principles calculations to provide a more comprehensive understanding of the lattice vibrational properties of the material. Raman scattering and infrared reflectance spectroscopy were employed to investigate the lattice vibrational characteristics, identifying two types of vibrational modes: internal modes associated with the planar bending and symmetric stretching vibrations of the [BO<sub>3</sub>] group, and external modes linked to the vibrations of the [CaO<sub>6</sub>] octahedron. The intrinsic dielectric properties were determined by fitting the experimental data using a four-parameter semi-quantum model. The results demonstrate that the dielectric properties of Ca<sub>3</sub>(BO<sub>3</sub>)<sub>2</sub> ceramics are primarily influenced by the external vibrational modes. The sample under 800 MPa exhibits optimal dielectric performance, with a dielectric constant (<i>ε<sub>r</sub></i>) of 5.95, a quality factor (<i>Q</i> × <i>f</i>) of 11,836 GHz, and a temperature coefficient of resonant frequency (<i>τ<sub>f</sub></i>) of −39.89 ppm/°C. A simulation of this Ca<sub>3</sub>(BO<sub>3</sub>)<sub>2</sub> sample as a dielectric substrate was conducted using HFSS to fabricate a microstrip patch antenna operating at 14.97 GHz, which exhibits a return loss (<i>S</i><sub>11</sub>) of −25.5 dB and a gain of 7.15 dBi.
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series Crystals
spelling doaj-art-8811b5dcb956476ea2ab200cc198007f2025-08-20T03:32:12ZengMDPI AGCrystals2073-43522025-06-0115759910.3390/cryst15070599Ultra-Low Dielectric Constant Ca<sub>3</sub>(BO<sub>3</sub>)<sub>2</sub> Microwave Ceramics and Their Performance Simulation in 5G Microstrip Patch AntennasFangyuan Liu0Fuzhou Song1Wanghuai Zhu2Zhengpu Zhang3Zhonghua Yao4Hanxing Liu5Huaao Sun6Guangran Lin7Yue Xu8Lingcui Zhang9Yan Shen10Jinbo Zhao11Zeming Qi12Feng Shi13Jinghui Li14Shandong Key Laboratory of Advanced Glass Manufacturing and Technology, Department of Materials Science and Engineering, Qilu University of Technology (Shandong Academy of Sciences), Jinan 250353, ChinaShandong Key Laboratory of Advanced Glass Manufacturing and Technology, Department of Materials Science and Engineering, Qilu University of Technology (Shandong Academy of Sciences), Jinan 250353, ChinaShandong Key Laboratory of Advanced Glass Manufacturing and Technology, Department of Materials Science and Engineering, Qilu University of Technology (Shandong Academy of Sciences), Jinan 250353, ChinaShandong Key Laboratory of Advanced Glass Manufacturing and Technology, Department of Materials Science and Engineering, Qilu University of Technology (Shandong Academy of Sciences), Jinan 250353, ChinaSchool of Material Science and Engineering, Wuhan University of Technology, Wuhan 430070, ChinaSchool of Material Science and Engineering, Wuhan University of Technology, Wuhan 430070, ChinaShandong Key Laboratory of Advanced Glass Manufacturing and Technology, Department of Materials Science and Engineering, Qilu University of Technology (Shandong Academy of Sciences), Jinan 250353, ChinaShandong Key Laboratory of Advanced Glass Manufacturing and Technology, Department of Materials Science and Engineering, Qilu University of Technology (Shandong Academy of Sciences), Jinan 250353, ChinaShandong Key Laboratory of Advanced Glass Manufacturing and Technology, Department of Materials Science and Engineering, Qilu University of Technology (Shandong Academy of Sciences), Jinan 250353, ChinaShandong Key Laboratory of Advanced Glass Manufacturing and Technology, Department of Materials Science and Engineering, Qilu University of Technology (Shandong Academy of Sciences), Jinan 250353, ChinaShandong Key Laboratory of Advanced Glass Manufacturing and Technology, Department of Materials Science and Engineering, Qilu University of Technology (Shandong Academy of Sciences), Jinan 250353, ChinaShandong Key Laboratory of Advanced Glass Manufacturing and Technology, Department of Materials Science and Engineering, Qilu University of Technology (Shandong Academy of Sciences), Jinan 250353, ChinaNational Synchrotron Radiation Laboratory, University of Science and Technology of China, Hefei 230029, ChinaShandong Key Laboratory of Advanced Glass Manufacturing and Technology, Department of Materials Science and Engineering, Qilu University of Technology (Shandong Academy of Sciences), Jinan 250353, ChinaSchool of Mathematics and Statistics, Qilu University of Technology (Shandong Academy of Sciences), Jinan 250353, ChinaCa<sub>3</sub>(BO<sub>3</sub>)<sub>2</sub> microwave dielectric ceramics with space group R-3c (#167) were prepared by cold sintering, and their properties were systematically investigated. Phonon density of state diagrams for the Ca<sub>3</sub>(BO<sub>3</sub>)<sub>2</sub> lattice were obtained based on first-principles calculations to provide a more comprehensive understanding of the lattice vibrational properties of the material. Raman scattering and infrared reflectance spectroscopy were employed to investigate the lattice vibrational characteristics, identifying two types of vibrational modes: internal modes associated with the planar bending and symmetric stretching vibrations of the [BO<sub>3</sub>] group, and external modes linked to the vibrations of the [CaO<sub>6</sub>] octahedron. The intrinsic dielectric properties were determined by fitting the experimental data using a four-parameter semi-quantum model. The results demonstrate that the dielectric properties of Ca<sub>3</sub>(BO<sub>3</sub>)<sub>2</sub> ceramics are primarily influenced by the external vibrational modes. The sample under 800 MPa exhibits optimal dielectric performance, with a dielectric constant (<i>ε<sub>r</sub></i>) of 5.95, a quality factor (<i>Q</i> × <i>f</i>) of 11,836 GHz, and a temperature coefficient of resonant frequency (<i>τ<sub>f</sub></i>) of −39.89 ppm/°C. A simulation of this Ca<sub>3</sub>(BO<sub>3</sub>)<sub>2</sub> sample as a dielectric substrate was conducted using HFSS to fabricate a microstrip patch antenna operating at 14.97 GHz, which exhibits a return loss (<i>S</i><sub>11</sub>) of −25.5 dB and a gain of 7.15 dBi.https://www.mdpi.com/2073-4352/15/7/599microwave dielectric ceramicsphonon dispersion relation diagramslattice vibrational characteristicsdielectric responsemicrostrip patch antenna
spellingShingle Fangyuan Liu
Fuzhou Song
Wanghuai Zhu
Zhengpu Zhang
Zhonghua Yao
Hanxing Liu
Huaao Sun
Guangran Lin
Yue Xu
Lingcui Zhang
Yan Shen
Jinbo Zhao
Zeming Qi
Feng Shi
Jinghui Li
Ultra-Low Dielectric Constant Ca<sub>3</sub>(BO<sub>3</sub>)<sub>2</sub> Microwave Ceramics and Their Performance Simulation in 5G Microstrip Patch Antennas
Crystals
microwave dielectric ceramics
phonon dispersion relation diagrams
lattice vibrational characteristics
dielectric response
microstrip patch antenna
title Ultra-Low Dielectric Constant Ca<sub>3</sub>(BO<sub>3</sub>)<sub>2</sub> Microwave Ceramics and Their Performance Simulation in 5G Microstrip Patch Antennas
title_full Ultra-Low Dielectric Constant Ca<sub>3</sub>(BO<sub>3</sub>)<sub>2</sub> Microwave Ceramics and Their Performance Simulation in 5G Microstrip Patch Antennas
title_fullStr Ultra-Low Dielectric Constant Ca<sub>3</sub>(BO<sub>3</sub>)<sub>2</sub> Microwave Ceramics and Their Performance Simulation in 5G Microstrip Patch Antennas
title_full_unstemmed Ultra-Low Dielectric Constant Ca<sub>3</sub>(BO<sub>3</sub>)<sub>2</sub> Microwave Ceramics and Their Performance Simulation in 5G Microstrip Patch Antennas
title_short Ultra-Low Dielectric Constant Ca<sub>3</sub>(BO<sub>3</sub>)<sub>2</sub> Microwave Ceramics and Their Performance Simulation in 5G Microstrip Patch Antennas
title_sort ultra low dielectric constant ca sub 3 sub bo sub 3 sub sub 2 sub microwave ceramics and their performance simulation in 5g microstrip patch antennas
topic microwave dielectric ceramics
phonon dispersion relation diagrams
lattice vibrational characteristics
dielectric response
microstrip patch antenna
url https://www.mdpi.com/2073-4352/15/7/599
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