Article(id=1304921767483568646, tenantId=1146029695717560320, journalId=1149653034449285133, issueId=1304921686403474081, articleNumber=null, orderNo=null, doi=10.16790/j.cnki.1009-9239.im.2026.06.002, pmid=null, cstr=null, oa=null, hot=null, price=null, onlineType=0, articleFormat=0, articleType=null, articleTypeStr=null, receivedDate=1761062400000, receivedDateStr=2025-10-22, revisedDate=1766332800000, revisedDateStr=2025-12-22, acceptedDate=null, acceptedDateStr=null, onlineDate=1789047193642, onlineDateStr=2026-09-10, pubDate=1781884800000, pubDateStr=2026-06-20, doiRegisterDate=null, doiRegisterDateStr=null, onlineIssueDate=1789047193642, onlineIssueDateStr=2026-09-10, onlineJustAcceptDate=null, onlineJustAcceptDateStr=null, onlineFirstDate=null, onlineFirstDateStr=null, sourceXml=null, magXml=null, createTime=1789047193642, creator=13701087609, updateTime=1789047193642, updator=13701087609, issue=Issue{id=1304921686403474081, tenantId=1146029695717560320, journalId=1149653034449285133, year='2026', volume='59', issue='6', pageStart='1', pageEnd='188', issueExtLink='null', onlineDate='null', pubDate='1781884800000', pubDateStr='2026-06-20', beforeIssueId=null, nextIssueId=null, price=null, status=1, issueComplete=1, articleOrder=1, issueType=-1, specialIssue=null, createTime=1789047174311, creator='13701087609', updateTime=1789118019323, updator='13701087609', preIssue=null, nextIssue=null, articleTotal=null, ext={EN=IssueExt(id=1305218831971021057, tenantId=1146029695717560320, journalId=1149653034449285133, issueId=1304921686403474081, language=EN, specialIssueTitle=, coverIllustrator=null, specialIssueEditor=, specialIssueAbout=), CN=IssueExt(id=1305218831971021058, tenantId=1146029695717560320, journalId=1149653034449285133, issueId=1304921686403474081, language=CN, specialIssueTitle=, coverIllustrator=null, specialIssueEditor=, specialIssueAbout=)}, issueFiles=null, downloadFileDto=null}, startPage=10, endPage=24, ext={EN=ArticleExt(id=1304921767659729415, articleId=1304921767483568646, tenantId=1146029695717560320, journalId=1149653034449285133, language=EN, title=Research progress on low dielectric constant inorganic dielectric materials for 5G/6G wireless communications and advanced packaging technologies, columnId=null, journalTitle=Insulating Materials, columnName=null, runingTitle=null, highlight=null, articleAbstract=

Functional inorganic dielectric materials with low dielectric constants (εr<10), represented by ceramic materials, glass-ceramic composites, and microcrystalline glass, play an irreplaceable role in cutting-edge technologies such as high-frequency and high-speed communications, high-density integrated packaging, and high-reliability electronic devices. Among these, high-temperature co-fired ceramic (HTCC) technology employs high-strength alumina ceramics, high thermal conductivity aluminum nitride ceramics, or low-dielectric-constant silicon-based ceramics as insulating packaging materials. Low-temperature/ultra-low-temperature co-fired ceramic (LTCC/ULTCC) technology employs intrinsically low-sintering-temperature ceramics, sintering aid-reduced sintering-temperature ceramics, glass-ceramic composites, and microcrystalline glass as packaging materials. This paper elaborated and summarized the above low-dielectric-constant inorganic dielectric materials, and prospected the application of machine learning (ML) in the prediction and design of novel low-dielectric and low-loss packaging materials, providing a new route for the development of related systems.

, authors=Jian BAO, Zhengqiao LI, Jing GUO, Changhao WANG, Zhaochen XI, Di ZHOU*, authorsList=Jian BAO, Zhengqiao LI, Jing GUO, Changhao WANG, Zhaochen XI, Di ZHOU, authorCompany=null, correspAuthors=Di ZHOU, authorNote=null, correspAuthorsNote=null, copyrightStatement=null, copyrightOwner=null, extLink=null, articleAbsUrl=null, sourceXml=null, magXml=null, pdfUrl=null, pdf=null, pdfFileSize=null, pdfExtLink=null, richHtmlUrl=null, mobilePdfUrl=null, reviewReport=null, pdfFirstPage=null, abstractGraph=null, abstractGraphContent=null, abstractVideo=null, citation=null, cebUrl=null, magXmlContent=null, mapNumber=null, fund=null), CN=ArticleExt(id=1304921769526194716, articleId=1304921767483568646, tenantId=1146029695717560320, journalId=1149653034449285133, language=CN, title=面向5G/6G无线通信和先进封装技术的低介电常数无机电介质材料研究进展, columnId=null, journalTitle=绝缘材料, columnName=, runingTitle=null, highlight=null, articleAbstract=

以陶瓷材料、玻璃-陶瓷复合材料和微晶玻璃为代表的低介电常数(εr<10)无机电介质功能材料在高频高速通信、高密度集成封装及高可靠性电子设备等尖端技术中发挥着不可替代的作用。其中,高温共烧陶瓷(HTCC)技术中通常使用高强度氧化铝陶瓷、高热导率氮化铝陶瓷或低介电常数硅基陶瓷作为绝缘封装材料。低温/超低温共烧陶瓷(LTCC/ULTCC)技术则使用本征低烧结温度陶瓷、助烧剂降烧陶瓷、玻璃-陶瓷复合材料及微晶玻璃等作为封装材料。本文对上述低介电常数无机电介质材料的研究进展进行了详细的论述和总结,同时对利用机器学习(ML)预测和设计新型低介低损封装材料的前景进行展望,为相关体系的发展提供新的路径。

, authors=包健, 李正巧, 郭靖, 王昌昊, 席兆琛, 周迪*, authorsList=包健, 李正巧, 郭靖, 王昌昊, 席兆琛, 周迪, authorCompany=null, correspAuthors=周迪, authorNote=

包健(1998-),男(汉族),山东临沂人,博士生,主要从事低介电常数电介质功能陶瓷与器件的研究

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周迪(1983-),男(汉族),山东泰安人,教授,主要从事电介质功能材料与器件的研究。
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包健(1998-),男(汉族),山东临沂人,博士生,主要从事低介电常数电介质功能陶瓷与器件的研究

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包健(1998-),男(汉族),山东临沂人,博士生,主要从事低介电常数电介质功能陶瓷与器件的研究

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Journal of the American Ceramic Society,2024,107(5):3380-3389., articleTitle=Acceleration of optimizing the dielectric properties of (Ca0.7Nd0.2)1-x(Li0.5Nd0.5)xTi1-y(Mg1/3Nb2/3)yO3 with the aid of machine learning, refAbstract=null), Reference(id=1304921793437918051, tenantId=1146029695717560320, journalId=1149653034449285133, articleId=1304921767483568646, doi=null, pmid=null, pmcid=null, year=2025, volume=45, issue=6, pageStart=117206, pageEnd=null, url=null, language=null, rfNumber=110, rfOrder=136, authorNames=APPIAH M, YANG Y X, ULLAH B, journalName=Journal of the European Ceramic Society, refType=null, unstructuredReference=APPIAH M, YANG Y X, ULLAH B, et al. Exceptionally optimized millimeter-wave properties of cordierite-based materials via innovative processing and predictive analytics[J]. 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The characteristics of alumina HTCC powder material from Kyocera

, figureFileSmall=null, figureFileBig=null, tableContent=
材料名称A440A443A473AO610WAO700AO800A476
颜色黑紫色黑色白色浅粉色灰色灰色白色
特性通用表面贴装高频高发热高抗弯强度射频
介电常数1 MHz9.89.69.19.29.49.49.4
2 GHz8.59.09.29.4
介电损耗/(×10-4)1 MHz24559644
2 GHz1011613
热膨胀系数(RT~400℃)/(×10-6-1)7.16.96.96.97.27.57.2
热导率/(W/(m·K))14181817211624
抗弯强度/MPa400460400460620740350
杨氏模量/GPa310310270281315300320
), ArticleFig(id=1304921782943769302, tenantId=1146029695717560320, journalId=1149653034449285133, articleId=1304921767483568646, language=CN, label=表1, caption=

京瓷氧化铝HTCC粉体材料特性

, figureFileSmall=null, figureFileBig=null, tableContent=
材料名称A440A443A473AO610WAO700AO800A476
颜色黑紫色黑色白色浅粉色灰色灰色白色
特性通用表面贴装高频高发热高抗弯强度射频
介电常数1 MHz9.89.69.19.29.49.49.4
2 GHz8.59.09.29.4
介电损耗/(×10-4)1 MHz24559644
2 GHz1011613
热膨胀系数(RT~400℃)/(×10-6-1)7.16.96.96.97.27.57.2
热导率/(W/(m·K))14181817211624
抗弯强度/MPa400460400460620740350
杨氏模量/GPa310310270281315300320
), ArticleFig(id=1304921783002489559, tenantId=1146029695717560320, journalId=1149653034449285133, articleId=1304921767483568646, language=EN, label=Table 2, caption=

The research progress on sintering aids and sintering processes for AlN ceramics

, figureFileSmall=null, figureFileBig=null, tableContent=
烧结温度/℃助烧剂/工艺热导率/(W/(m·K))抗弯强度/MPa参考文献
1 850Y2O3+长时间退火222[21]
1 650CaF2-Li2CO3-Y2O3141[22]
1 650CaF2-Dy2O3142
1 900CaF2190.4[23]
1 600CaZrO3-Y2O3+两步法烧结156560[24]
1 700Y2O3-CeO2176392[25]
1 900CeO2156[26]
1 850Y2O3205295[27]
1 860Y2O3206344[28]
1 750Sm2O3-Y2O3-CaO153.7402[29]
), ArticleFig(id=1304921783077987032, tenantId=1146029695717560320, journalId=1149653034449285133, articleId=1304921767483568646, language=CN, label=表2, caption=

AlN陶瓷的助烧剂和烧结工艺研究进展

, figureFileSmall=null, figureFileBig=null, tableContent=
烧结温度/℃助烧剂/工艺热导率/(W/(m·K))抗弯强度/MPa参考文献
1 850Y2O3+长时间退火222[21]
1 650CaF2-Li2CO3-Y2O3141[22]
1 650CaF2-Dy2O3142
1 900CaF2190.4[23]
1 600CaZrO3-Y2O3+两步法烧结156560[24]
1 700Y2O3-CeO2176392[25]
1 900CeO2156[26]
1 850Y2O3205295[27]
1 860Y2O3206344[28]
1 750Sm2O3-Y2O3-CaO153.7402[29]
), ArticleFig(id=1304921783140901593, tenantId=1146029695717560320, journalId=1149653034449285133, articleId=1304921767483568646, language=EN, label=Table 3, caption=

Low dielectric constant microwave dielectric ceramic with sintering temperatures exceeding 950℃

, figureFileSmall=null, figureFileBig=null, tableContent=
物相组成烧结温度/℃εrQ·f/GHzTCF/(×10-6-1)参考文献
SiO2(非晶)熔融法3.8312 100-8.30[33]
Al2SiO51 5254.4341 800-17.00[43]
Mg3P2O81 1504.9031 000-19.20[44]
Li2MgSiO41 2505.1015 385[35]
LiAlO21 2505.4514 748-190.00[45]
CaCuSi4O101 0455.7520 210-38.90[46]
SrCuSi4O101 0255.7748 790-46.30[46]
Li2ZnSiO41 2505.8014 700-96.60[47]
BaCuSi4O101 1006.0349 952-18.00[48]
CaCoSi2O61 1756.0412 457-18.90[43]
α-Mg2P2O71 1506.1038 175-746.00[49]
SrZnSi3O81 1506.1278 064-33.20[43]
Mg2Al4Si5O181 4406.2040 000-24.00[36]
Ni3P2O81 2006.2383 430-24.63[44]
BaAl2Si2O81 4506.3644 800-46.90[35]
Zn2SiO41 3406.60219 000-61.00[43]
BaZnSi3O81 1006.6052 400-24.50[43]
BaSi2O51 2506.7059 500-28.00[50]
SrMgSi2O61 1256.7025 800-46.00[51]
MgSiO31 3806.70121 200-17.00[52]
Co2P2O71 1606.7636 400-23.90[53]
CaSiO31 5006.8042 200-19.00[54]
SrSiO31 5006.8012 100-66.00[54]
Mg2SiO41 5006.80270 000-70.00[55]
CaMgSiO41 3507.0562 500-62.90[56]
α-Sr2P2O71 1507.1135 500-23.00[57]
Sr2Al2SiO71 5257.2033 000-37.00[35]
LiYbSiO41 1407.3025 2574.50~8.00[58]
Ba5Si8O211 2007.3016 70025.00[50]
Mn2P2O71 1007.3423 847-95.80[57]
CaMnSi2O61 2207.3934 100-25.60[59]
CaMgSi2O61 2907.4659 640-46.00[43]
KBaPO41 1507.5831 577-13.30[60]
BaZn2P2O81 0007.7217 000-41.10[61]
Ca3Si2O71 3007.8028 400[62]
Nd2SiO51 5007.9438 800-53.00[35]
YPO41 6008.0067 933-35.30[63]
), ArticleFig(id=1304921783220593370, tenantId=1146029695717560320, journalId=1149653034449285133, articleId=1304921767483568646, language=CN, label=表3, caption=

烧结温度高于950℃的低介电常数微波介质陶瓷

, figureFileSmall=null, figureFileBig=null, tableContent=
物相组成烧结温度/℃εrQ·f/GHzTCF/(×10-6-1)参考文献
SiO2(非晶)熔融法3.8312 100-8.30[33]
Al2SiO51 5254.4341 800-17.00[43]
Mg3P2O81 1504.9031 000-19.20[44]
Li2MgSiO41 2505.1015 385[35]
LiAlO21 2505.4514 748-190.00[45]
CaCuSi4O101 0455.7520 210-38.90[46]
SrCuSi4O101 0255.7748 790-46.30[46]
Li2ZnSiO41 2505.8014 700-96.60[47]
BaCuSi4O101 1006.0349 952-18.00[48]
CaCoSi2O61 1756.0412 457-18.90[43]
α-Mg2P2O71 1506.1038 175-746.00[49]
SrZnSi3O81 1506.1278 064-33.20[43]
Mg2Al4Si5O181 4406.2040 000-24.00[36]
Ni3P2O81 2006.2383 430-24.63[44]
BaAl2Si2O81 4506.3644 800-46.90[35]
Zn2SiO41 3406.60219 000-61.00[43]
BaZnSi3O81 1006.6052 400-24.50[43]
BaSi2O51 2506.7059 500-28.00[50]
SrMgSi2O61 1256.7025 800-46.00[51]
MgSiO31 3806.70121 200-17.00[52]
Co2P2O71 1606.7636 400-23.90[53]
CaSiO31 5006.8042 200-19.00[54]
SrSiO31 5006.8012 100-66.00[54]
Mg2SiO41 5006.80270 000-70.00[55]
CaMgSiO41 3507.0562 500-62.90[56]
α-Sr2P2O71 1507.1135 500-23.00[57]
Sr2Al2SiO71 5257.2033 000-37.00[35]
LiYbSiO41 1407.3025 2574.50~8.00[58]
Ba5Si8O211 2007.3016 70025.00[50]
Mn2P2O71 1007.3423 847-95.80[57]
CaMnSi2O61 2207.3934 100-25.60[59]
CaMgSi2O61 2907.4659 640-46.00[43]
KBaPO41 1507.5831 577-13.30[60]
BaZn2P2O81 0007.7217 000-41.10[61]
Ca3Si2O71 3007.8028 400[62]
Nd2SiO51 5007.9438 800-53.00[35]
YPO41 6008.0067 933-35.30[63]
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面向5G/6G无线通信和先进封装技术的低介电常数无机电介质材料研究进展
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包健 , 李正巧 , 郭靖 , 王昌昊 , 席兆琛 , 周迪 *
绝缘材料 | 2026,59(6): 10-24
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绝缘材料 | 2026 , 59 (6) : 10 -24
面向5G/6G无线通信和先进封装技术的低介电常数无机电介质材料研究进展
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包健(1998-),男(汉族),山东临沂人,博士生,主要从事低介电常数电介质功能陶瓷与器件的研究

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包健, 李正巧, 郭靖, 王昌昊, 席兆琛, 周迪*
作者信息
  • 西安交通大学 电子科学与工程学院,陕西 西安 710049
通讯作者:
周迪(1983-),男(汉族),山东泰安人,教授,主要从事电介质功能材料与器件的研究。
作者简介:

包健(1998-),男(汉族),山东临沂人,博士生,主要从事低介电常数电介质功能陶瓷与器件的研究

Research progress on low dielectric constant inorganic dielectric materials for 5G/6G wireless communications and advanced packaging technologies
Jian BAO, Zhengqiao LI, Jing GUO, Changhao WANG, Zhaochen XI, Di ZHOU*
Affiliations
  • School of Electronic Science and Engineering, Xi′an Jiaotong University, Xi′an 710049, China
出版时间: 2026-06-20 doi: 10.16790/j.cnki.1009-9239.im.2026.06.002
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以陶瓷材料、玻璃-陶瓷复合材料和微晶玻璃为代表的低介电常数(εr<10)无机电介质功能材料在高频高速通信、高密度集成封装及高可靠性电子设备等尖端技术中发挥着不可替代的作用。其中,高温共烧陶瓷(HTCC)技术中通常使用高强度氧化铝陶瓷、高热导率氮化铝陶瓷或低介电常数硅基陶瓷作为绝缘封装材料。低温/超低温共烧陶瓷(LTCC/ULTCC)技术则使用本征低烧结温度陶瓷、助烧剂降烧陶瓷、玻璃-陶瓷复合材料及微晶玻璃等作为封装材料。本文对上述低介电常数无机电介质材料的研究进展进行了详细的论述和总结,同时对利用机器学习(ML)预测和设计新型低介低损封装材料的前景进行展望,为相关体系的发展提供新的路径。

低介电常数  /  高温共烧陶瓷  /  低温/超低温共烧陶瓷  /  机器学习

Functional inorganic dielectric materials with low dielectric constants (εr<10), represented by ceramic materials, glass-ceramic composites, and microcrystalline glass, play an irreplaceable role in cutting-edge technologies such as high-frequency and high-speed communications, high-density integrated packaging, and high-reliability electronic devices. Among these, high-temperature co-fired ceramic (HTCC) technology employs high-strength alumina ceramics, high thermal conductivity aluminum nitride ceramics, or low-dielectric-constant silicon-based ceramics as insulating packaging materials. Low-temperature/ultra-low-temperature co-fired ceramic (LTCC/ULTCC) technology employs intrinsically low-sintering-temperature ceramics, sintering aid-reduced sintering-temperature ceramics, glass-ceramic composites, and microcrystalline glass as packaging materials. This paper elaborated and summarized the above low-dielectric-constant inorganic dielectric materials, and prospected the application of machine learning (ML) in the prediction and design of novel low-dielectric and low-loss packaging materials, providing a new route for the development of related systems.

low dielectric constant  /  HTCC  /  LTCC/ULTCC  /  machine learning
包健, 李正巧, 郭靖, 王昌昊, 席兆琛, 周迪. 面向5G/6G无线通信和先进封装技术的低介电常数无机电介质材料研究进展. 绝缘材料, 2026 , 59 (6) : 10 -24 . DOI: 10.16790/j.cnki.1009-9239.im.2026.06.002
Jian BAO, Zhengqiao LI, Jing GUO, Changhao WANG, Zhaochen XI, Di ZHOU. Research progress on low dielectric constant inorganic dielectric materials for 5G/6G wireless communications and advanced packaging technologies[J]. Insulating Materials, 2026 , 59 (6) : 10 -24 . DOI: 10.16790/j.cnki.1009-9239.im.2026.06.002
随着第五代(5G)及第六代(6G)通信系统向更高频率拓展,电子元器件的工作频率(f0)也加速向高频化迈进。由公式(1)可知,c0为恒定的光速,随着f0的升高,在信号传输超过某一特定距离(d)时引起的延迟(φ)现象会变得更加明显,减小基体材料的介电常数(εr)是一种行之有效的降低器件固有延迟的方案。
φ=2πf0dεrc0
同时,由公式(2)可知,当器件的工作频率一定时,器件的尺寸(L0)与材料的介电常数成反比,即介电常数越大越有利于器件的小型化。但是随着f0的升高,若继续使用高介电常数材料,反而会使得器件的尺寸过小而难以加工[1]
L0c0f0εr
因此,在5G/6G通信系统向毫米波(mmWave)乃至太赫兹(THz)频段发展的背景下,低介电常数(εr<10)无机电介质绝缘材料因其能够有效降低信号传输损耗、减少信号延迟并减弱基板与金属电极间的耦合效应,相较于传统高介电常数材料(例如K20、K40及K60陶瓷),在追求极快信号传输速率的未来高频通信系统中展现出更显著的应用潜力与价值。
2025年1月,中国信通院发布的《全球数字经济发展研究报告(2024)》显示,信息与通信技术(ICT)产业及数字化资本已经成为驱动全球经济增长的关键力量[2]。根据2023年公布的贸易数据,全球主要国家的ICT产品总出口贸易金额达2.4万亿美元,约占全球总出口贸易的11.1%。为满足5G/6G通信、人工智能及高性能集群计算等领域对低延迟、强算力与高集成度的迫切需求,集成电路及电子封装技术正向三维集成和系统级封装等先进范式发展,相关领域的变革和蓬勃发展对电介质材料提出了更严格要求,也进一步促进了基础功能材料领域的创新。
高温共烧陶瓷(HTCC)是一种在高温下(温度通常高于1 200℃),将多层高烧结温度生瓷带(如Al2O3、AlN)与高熔点的金属电极(如W、Mo)共同烧结形成多层互连结构的技术,其具有机械强度高、布线密度高、热导率好及热稳定性优异等特点[3]。低温/超低温共烧陶瓷(LTCC/ULTCC)技术则是在相对低温下(温度通常低于950℃或650℃),将Cu、Ag或Al等高电导率金属导体与低烧结温度陶瓷生坯共烧形成多层立体电路结构,实现三维电路集成,其具有介电常数可调范围宽、高频特性优良、易于集成无源元件并可进行烧结前分层检测等特点,并且在工艺细节及生产成本等方面展现出显著优势[4-6]。HTCC/LTCC技术的典型工艺流程如图1所示,主要包括:浆料制备及流延成型;生瓷带切割、打孔、填充和电路印刷;多层生带的精准对齐和叠压;共烧及检测[7]。HTCC技术最早起源于美国开发的厚膜流延及多层叠压技术,并在20世纪80年代由IBM公司实现商业化[8]。但HTCC技术存在一些固有的局限:由于该技术需要使用高烧结温度的无机电介质材料,必须采用高熔点金属作为电极,但是该类材料电导率相对较低,难以应用于高频电路中。与HTCC技术相比,LTCC/ULTCC技术使用低烧结温度的电介质材料作为基体,因此可以采用高电导率金属作为导体材料,有利于减少信号延迟和功耗,更加适用于未来高频通信网络中[9]。但采用LTCC/ULTCC技术制备的元件通常在绝缘性能、机械强度和热导率等方面存在劣势,因而不适用于大功率环境中。
此外,低介电常数HTCC/LTCC粉体材料的开发长期依赖于“经验+试错”的传统开发模式,随着先进封装技术对材料综合性能日益严苛的要求,传统开发模式难以同时对多项指标优化的局限性愈加凸显。因此,本文综述了低介电常数HTCC/LTCC粉体材料的研究进展,涵盖当前广泛应用的商用体系和研究热点体系,并对机器学习(ML)辅助低介电常数粉体材料的开发进行介绍和展望。
氧化铝粉体是目前最主流的HTCC粉体材料,其存在3种常见类型,分别为α-Al2O3β-Al2O3γ-Al2O3,其中β-Al2O3并非纯氧化铝,而是一种由钠氧化物与氧化铝组成的铝酸盐[10]α-Al2O3γ-Al2O3的晶体结构如图2所示,其中α-Al2O3(又称刚玉)属于三方晶系,是氧化铝最为稳定的晶型11-12。作为最通用的精细陶瓷材料之一,α-Al2O3具有高抗弯强度(300~400 MPa)、高熔点(约为2 050℃)、高绝缘性和高耐化学腐蚀性,其热膨胀系数(RT~400℃)约为7.2×10-6-1,热导率约为20~30 W/(m·K)。γ-Al2O3为缺陷型尖晶石结构,具有大的比表面积,适合应用在催化领域,但是其热稳定性较差,在1 200℃以上会不可逆地转化为α[13-15]。根据英国学者N M ALFORD等[16]的报道,α-Al2O3陶瓷在1 550℃下烧结5 h可以达到致密状态,此时陶瓷样品的介电损耗(tanδ)低至2.7×10-5(10 GHz),εr约为10,谐振频率温度系数(TCF)约为-60×10-6-1。日本京瓷集团(KYOCERA)作为HTCC领域的领先企业,其开发的AO700/AO800系列高弯曲强度氧化铝陶瓷的抗弯强度分别可达620 MPa与740 MPa(见表1),此类材料有助于在封装过程中实现更薄的底层结构与更窄的壁宽,对于微型器件的高密度封装具有重要意义。
随着微电子和集成电路技术的发展,电路规模和集成密度不断增大,对封装材料的散热能力提出了更加严苛的要求。AlN属于六方纤锌矿结构,空间群为P63mc(No.186),a=b=3.119 Å,c=4.991 Å。在AlN的晶体结构中,每个Al原子与四个N原子相连,形成在[001]方向上略微拉长的四面体单元,如图3所示。由于Al-N键极高的共价键强度、AlN晶体结构高的对称性和低的原子量,使其导热能力远高于Al2O3,AlN的理论热导率高达320 W/(m·K)[17-18]。在常压条件下,通入氮气作为保护气氛的AlN陶瓷的烧结温度约为1 850℃,AlN陶瓷在低频(1 MHz)下表现出低的介电损耗,约为8×10-4,在微波频段下的介电损耗在10-3量级[19]。由于Al-N键的极化能力弱于Al-O键,AlN陶瓷的介电常数约为9,略小于Al2O3陶瓷。但是,由于AlN陶瓷在烧结过程中难以致密且易氧化,致使实际烧结的AlN陶瓷样品热导率常在100 W/(m·K)左右,远低于理论值。因此,当下的研究热点集中于AlN陶瓷的致密化烧结和晶格氧杂质的去除。添加玻璃、碱金属及碱土金属氧化物、稀土或氟化物作为助烧剂是研究AlN陶瓷的主流手段,表2对近几年AlN陶瓷的研究进行了汇总,由于AlN陶瓷的制备及生产工艺繁杂,成本也相对更高,使其在HTCC粉体中的占比远低于Al2O3 [20]
根据Clausius-Mossotti方程(简称C-M方程,见公式(3)),由于真空介电常数(ε0)与单位体积内的分子数(n0)在常温常压下保持不变,因此电介质材料的介电常数(εr)与其离子极化率(α)成正比关系,这为低介电常数电介质陶瓷材料的开发奠定了理论基础[30-31]
εr-1εr+2=n0α3ε0
由于B(0.05 Å3)、Al(0.79 Å3)和Si(0.87 Å3)元素的离子极化率(Shannon值)明显低于其他元素,因此富含相关元素的陶瓷材料更易表现出低介电常数[32]表3对烧结温度高于950℃的低介电常数微波介质陶瓷进行了汇总,可以发现SiO2的介电常数为3.83,是除H3BO3(易潮解、热稳定性差)外介电常数最低的致密无机电介质材料[33-34]。在实际的商业应用中,硅基HTCC粉体主要以莫来石(SiO2-Al2O3二元系)和氮化硅(Si3N4)为主。此外,Mg2SiO4(镁橄榄石)、Mg2Al4Si5O18(堇青石)和CaSiO3(硅灰石)等硅基微波电介质材料也表现出低的介电常数(εr<7)和优良的品质因数(Q·f>40 000 GHz),有望在未来毫米波技术及超大规模集成电路中得到应用[35]
堇青石陶瓷的烧结温度约为1 400℃,其介电常数为6.20,Q·f=40 000 GHz,TCF为-24×10-6-1,该陶瓷因其极低的热膨胀系数(约2.6×10-6-1)而受到研究者的广泛关注[36-37]。Mg2Al4Si5O18晶体属于正交晶系Cccm(No.66)空间群,其晶体结构由[Si4Al2O18]内六元环与[AlO4]-[MgO6]-[SiO4]外六元环沿c轴交替连接形成,中间为环形通道,如图4所示。SONG K X课题组[38-41]对堇青石陶瓷开展了一系列的研究,发现其介电性能与内六元环的对称性存在密不可分的联系,并通过正交试验的方式对堇青石的Mg位和Al位展开了一系列的协同掺杂研究。结果表明,同时对堇青石的Mg位和Al位进行掺杂时,Al位的最佳掺杂量为0.15。此时,Mg1.8(Ni0.25Co0.75)0.2- Al3.85(Ge0.5Mg0.5)0.15Si5O18的微波介电性能为:εr=4.59,Q·f=153 386 GHz,TCF=-25.518×10-6-1。TIAN H R等[42]进一步对堇青石的Si位进行掺杂研究,通过传统固相法成功制备了Ge4+取代的Mg2Al4(Si1-xGex)5O18陶瓷,其具备优异的介电性能:εr=4.90,Q·f=128 200 GHz,TCF=-21.01×10-6-1。此外,堇青石也是IBM公司开发的LTCC用MgO-Al2O3-SiO2-Li2O微晶玻璃的主要析出相。
通常,将自身烧结温度低于950℃的微波介质陶瓷体系称为本征低烧陶瓷体系,由于该类陶瓷在烧结过程中不需要引入额外的助烧剂,使得本征低烧陶瓷材料常表现出优异的微波介电性能[64-66]。大多数本征低烧LTCC/ULTCC陶瓷体系以低熔点氧化物为主元,包括磷酸盐(P2O5,340℃)、硼酸盐(B2O3,450℃)、钒酸盐(V2O5,690℃)、碲酸盐(TeO2,733℃)、钼酸盐(MoO3,795℃)和一些含有较多碱金属(Li、Na和K)的陶瓷体系,本文仅选择部分钼酸盐和磷酸盐进行介绍。
低介电常数钼酸盐微波介质陶瓷体系众多,其中AMoO4(A=Mg、Zn、Mn、Ca、Sr或Ba等二价元素)型钼酸盐微波介质陶瓷近年来尤其受到科研人员的关注[67-70]。AMoO4型钼酸盐微波介质陶瓷的烧结温度普遍较低,大部分体系的烧结温度在900℃以下,介电常数小于10。图5为AMoO4型钼酸盐中两种典型晶体结构。该类陶瓷的晶体结构与A位阳离子的大小密切相关,当A位为Ba、Sr、Ca等半径较大的离子时倾向于形成白钨矿结构;而当A位由半径较小的Mg、Zn或Mn离子占据时则为黑钨矿结构。2006年韩国学者G K CHOI等[71]利用最小二乘法获得了Mo离子的极化率(3.28 Å3),对Shannon报道的离子极化率数据进行了补充,并使用C-M方程对该AMoO4型陶瓷的微波介电性能进行了研究。结果表明,AMoO4的介电性能与A位阳离子的半径和晶体结构关系密切,当A位阳离子半径过大或过小时,会在晶格间隙中出现偏移晃动或晶格受压畸变,该类陶瓷的εr和TCF值也会产生规律性变化,使得采用不同半径离子形成固溶体从而调节AMoO4的TCF成为可能。
磷酸盐陶瓷可以按照PO4四面体的连接方式大体分为正磷酸盐、焦磷酸盐、偏磷酸盐三类[72-73]图6为磷酸盐微波介电陶瓷的介电性能。从图6可以看出,正磷酸盐微波介质陶瓷通常表现出高的烧结温度,代表体系有LnPO4(Ln=镧系元素)、M3P2O8(M=Mg、Ca、Sr和Ba等)和AMPO4(A=Li、Na和K)[60-61,74-75]。焦磷酸盐微波介质陶瓷代表体系有M2P2O7和MM'P2O7(M=Mg、Ca、Sr和Ba等),该类微波介质陶瓷的烧结温度在1 150℃左右,普遍低于正磷酸盐陶瓷[57]。偏磷酸盐微波介质陶瓷代表体系有APO3(A=Li、Na和K)和AMP3O9(M=Mg、Ca、Sr和Ba等二价元素),该类陶瓷晶体结构中PO4四面体倾向于共顶连接形成长链,这种独特的结构使其主要被应用于电池和发光材料领域[76-77]。2024年S YOUNES等[78]首先报道了LiCa(PO3)3和LiSr(PO3)3两种陶瓷的微波介电性能,两种陶瓷的烧结温度分别为700℃和625℃,介电常数均为6左右,远低于磷酸盐陶瓷体系。但是LiCa(PO3)3和LiSr(PO3)3的TCF在-105×10-6-1左右,并且品质因数较低。与此同时,电子科技大学的LIU W等[79]对NaMg(PO3)3陶瓷的微波介电性能展开了研究,该陶瓷可以在800~900℃下烧结成瓷,具备在LTCC技术中应用的潜在价值,并且NaMg(PO3)3同样表现出极低的介电常数。通过在Mg位掺杂摩尔分数为3.75%的Zn元素,陶瓷的品质因数显著提高,此时陶瓷的εr=4.49,Q·f=58 237 GHz,TCF=-50.6×10-6-1。此外,本团队[73]和烟台大学TIAN H R等[80]也各自对偏磷酸盐陶瓷展开了一系列研究,如ALnP4O12(A=Li、Na或K;Ln=镧系元素)和Mg2P4O12,这些陶瓷不仅烧结温度低,同时表现出极低的介电常数(εr约为5),在LTCC/ULTCC技术和未来5G/6G通信领域极具应用潜力。但是该类陶瓷易与Ag电极发生化学反应、难以烧结致密且机械强度较差,介电损耗也略大于另外两类磷基陶瓷材料,还有待进一步优化。
除本征低烧陶瓷材料以外,采用少量玻璃或者低熔点氧化/氟化物降低陶瓷的烧结温度至950℃以下,这也是LTCC/ULTCC粉体研发的热点方向。其中,硅酸盐陶瓷凭借其出色的介电性能和低的生产成本备受科研人员关注。图7对当下主流的硅酸盐微波介质陶瓷的介电性能进行了汇总[81]。从图7可以发现,正交晶系的镁橄榄石(Mg2SiO4)陶瓷表现出低的介电常数(εr=6.7)和极高的品质因数(Q·f=240 000 GHz),有利于减少信号延迟和信号衰减,非常适合在5G/6G通信技术中应用。Mg2SiO4陶瓷最早由日本学者M ANDO等[82]报道,该陶瓷合成温度在1 200℃以上,烧结温度为1 400℃,但在烧结过程中容易产生次生相硅酸镁(MgSiO3)。为了降低Mg2SiO4的烧结温度,印度学者T S SASIKALA等[83]采用质量分数为15%的Li2O-B2O3-SiO2(LBS)玻璃作为助烧剂成功降低Mg2SiO4陶瓷的烧结温度到950℃,但是大量玻璃相的引入会显著劣化Mg2SiO4陶瓷的介电损耗。为此,电子科技大学LAI Y M等[84]采用质量分数为8%的LiF作为助烧剂,并添加体积分数为6%的CaTiO3以调节TCF,成功将Mg2SiO4的烧结温度降至900℃,此时其εr=7.1,Q·f=31 091 GHz,TCF=-2×10-6-1,具备在LTCC技术中应用的潜力。
玻璃-高烧结温度陶瓷复合体系是当下应用最广泛的陶瓷粉体体系,常用的陶瓷填料有氧化铝、氮化铝、石英、莫来石、镁橄榄石和堇青石等[85-86]。如前文所述,Al2O3作为HTCC领域最为常用的粉体材料,兼具高性能与低成本,通过引入大量玻璃相降低烧结温度制备的玻璃-氧化铝复合粉体,也是当前商用LTCC材料的主流选择之一[87-88]。杜邦公司(Dupont)开发的951和9K7粉体是玻璃-陶瓷复合体系的典型代表[89]
其中,Dupont 9K7采用易析晶的CaO-La2O3-B2O3玻璃与Al2O3复合制得,其抗弯强度约为230 MPa,在高频下(测试频率为10 GHz)表现出优异的介电性能,介电损耗低至0.000 9。CaO-La2O3-B2O3玻璃中3种组分的相对含量会显著影响烧结中析出的晶相种类和析出量。图8是CaO-La2O3-B2O3体系的赝相图[90],总计由18个三相区域组成,共存在5种三元化合物和7种二元化合物。国防科技大学ZHANG W J等[91]制备了La/B比例从1∶6变化到1∶3的CaO-La2O3-B2O3微晶玻璃,详细研究了La/B比例对微晶玻璃结构、烧结温度和结晶相的影响。研究表明La/B比例的增加能降低玻璃网络结构中[BO4]单元的含量,并降低CaO-La2O3-B2O3微晶玻璃的玻璃化转变温度和软化温度,但低La/B比例的玻璃会在烧结过程中导致严重的起泡。此外,华中科技大学WANG F等[92]进一步将CaO-La2O3-B2O3-SiO2(LCBS)玻璃与氧化铝进行复合,DSC和FT-IR结果表明,添加适量的SiO2有利于LCBS玻璃的结晶,而且玻璃网络在SiO2添加后并未发生明显变化。通过在850℃烧结0.5 h,40%玻璃/60%Al2O3复合材料表现出优异的综合性能:εr=6.87,介电损耗(tanδ)=2.2×10-4,TCF=-55.7×10-6-1,CTE=6.13×10-6 -1,并且展现出高的抗弯强度(241 MPa),不与Ag电极反应,具备在LTCC技术中应用的潜力。这是因为LaAlO3(B2O3)O2和Al2O3相的协同作用使复合材料具有更好的介电性能和更高的弯曲强度。
微晶玻璃是一类重要的LTCC材料,商用材料以Ferro A6M-E、M7材料(CaO-B2O3-SiO2系微晶玻璃)和IBM(MgO-Al2O3-SiO2-Li2O系微晶玻璃)最具代表性。微晶玻璃的制备和使用过程通常是先通过熔融-急冷过程制成具有特定组分的玻璃材料,然后通过加热或者其他条件使玻璃进行受控的晶化处理,获得由大量微细晶体和少量残余玻璃相组成的复合材料[93-96]
近年来,CaO-B2O3-SiO2系微晶玻璃因Ferro A6M-E LTCC粉体在商业领域取得的成功而备受科研人员关注。CaO-B2O3-SiO2系微晶玻璃中,以 CaSiO3和CaB2O4作为主要结晶相的析晶路线相对成熟,技术的关键在Ca-B-Si三种元素的相对比例,以及其他元素的少量添加对微晶玻璃整体介电性能和力学性能的影响。南京航空航天大学ZHU H Y等[97]研究了BaO对CaO-B2O3-SiO2微晶玻璃体系的影响,发现添加BaO会增加玻璃抵抗结晶的能力。在不含BaO的微晶玻璃中倾向于形成β-CaSiO3,而在BaO含量较低时倾向于形成α-CaSiO3,同时也会形成CaB2O4相,而在BaO含量较高(摩尔分数15%)时则会形成Ba4Si6O16和SiO2。南京工业大学XIA Y S等[98]以硅烷偶联剂(SCA)改性CaO-B2O3-SiO2微晶玻璃粉体来获得性能优良的生瓷带,当SCA添加质量分数为1.5%时,改性粉末能够实现最优异的性能,经820℃烧结后,εr=5.93,tanδ=8×10-4(12.0 GHz)。
WANG S F等[99]为了追求尽可能低的介电常数,根据CaO-B2O3-SiO2三元相图制备了析出SiO2相的微晶玻璃,由于SiO2作为主要析晶相,该微晶玻璃表现出高的击穿强度(15.20 kV/mm)和低的介电常数(4.04)。在商用LTCC微晶玻璃粉体研发方面,由于5G/6G用封装基板的热导率和抗弯强度对于器件的热管理和可靠性至关重要,Ferro公司在A6M-E配方的基础上成功开发了M7粉体。如图9所示,M7粉体的抗弯强度达到294 MPa,较A6M-E(170 MPa)显著提升;其在25℃下的热导率为5.2 W/(m·K),有效改善了传统微晶玻璃类LTCC材料热导率常低于2 W/(m·K)的不足。当前,在微晶玻璃基粉体的研究中,鲜有能够同时实现低介电常数、低损耗、高强度和高热导率的体系,这一现状也反映出国内在高性能LTCC材料研发方面与国际先进水平之间存在的差距。
为突破传统研发流程带来的长周期瓶颈,研究者在介电性能计算框架内相继提出了一些经典理论模型,旨在加速材料的介电性能预测,包括C-M方程、P-V-L理论、第一性原理计算、Onsager模型、Penn模型、Gladstone-Dale模型等。这些理论虽各具优势,但共同暴露出“单点计算和理想晶体”的短板,面对5G/6G对“低介低损高可靠性”多种条件的组合搜索,传统模型显得更加难以胜任。而机器学习(ML)以“文献+计算+实验大数据”为燃料,可在秒级内完成十万量级候选材料的性能预测,自动挖掘键长、离子极化率、形成能等隐式描述符的非线性耦合规律,并通过主动学习-实验闭环持续自我修正,把“偶遇式”发现升级为“定向式”发明,为新一代高频介质陶瓷的极速迭代提供可扩展、可解释、可迁移的智能引擎,其主要流程如图10所示。得益于实验表征与第一性原理计算所累积的庞大数据库,深度神经网络、核方法及集成学习算法等被迅速移植到无机电介质材料的性能预测中[100-101]。当下,数据驱动范式已催生出一系列面向5G/6G应用的高性能低介电常数材料,为高频高速器件的按需设计奠定了理论与技术基础。
为提升介质滤波器用高介电陶瓷的研发效率,伦敦大学学院D J SCOTT小组[102]早在2007年即引入反向传播人工神经网络(BP-ANN),以53维元素含量为描述符,对文献中700余种陶瓷的介电常数进行建模,但相关系数(R2)仅为0.64,均方根误差(RMSE)高达13.21。帝国理工K MORITA等[103]基于通过密度泛函微扰理论(DFPT)获得的1 364种陶瓷材料的光频介电常数(ε),以禁带宽度(Eg)、Pauling能差、密度等特征构建支持向量回归模型,测试集R2达0.86,RMSE降至0.99;结合SHAP解析,证实密度与ε正相关、与Eg负相关,并与C-M方程及Penn模型趋势一致,并初步搭建了“电子结构-介电响应”定量桥梁。QIN J C等[104]以254种单相微波介质陶瓷为样本,结合C-M方程、Penn模型与P-V-L理论,筛选单位体积极化率、平均键长等7个物理意义明确的特征。使用SVR-RBF模型训练,结果SVR-RBF模型R2=0.58,RMSE=2.54,显著优于传统方程。俄罗斯科学院N KIREEVA等[105]聚焦白钨矿等7种结构,以阳离子极化率、Shannon半径、Pauling数等20余项特征建立SVR模型,该模型R2>0.7,RMSE<5,证实结构对称性(PN值)对εr的决定性作用,并成功外推至岩盐、尖晶石等新结构。在成分-工艺联合优化层面,LIU Y C等[106]针对LTCC玻璃陶瓷体系,以填料类型、玻璃含量及三阶段煅烧反应积为特征,建立高斯核岭回归模型,介电常数与介电损耗交叉验证R2分别为0.57与0.91,并验证了机器学习在多目标工艺寻优中的实用性。
相对介电常数一直是介电材料领域共同关注的核心指标,其第一性原理计算框架发展成熟,公开数据丰富,获取门槛较低。然而,作为衡量信号损耗关键的品质因数(Q·f)却缺乏普适、低成本的计算途径。近年来,研究人员开始尝试在特定结构类型中建立Q·f的统计预测模型。QIN J C等[46]以A位阳离子置换策略实现(CaxSr1-x)CuSi4O10陶瓷局域结构的可控调制,并将模型外推至Ba等其他碱土离子占据A位的同结构体系。Y OBA等[107]提出以双声子态密度(TDOS)为中介变量的迁移学习框架:首先利用50种陶瓷材料在100 GHz的TDOS数据预训练多层感知器,再将所得权重迁移至目标tanδ预测网络。与从零开始训练的模型相比,迁移学习版本均方误差降低25%,外推稳定性显著提升。
TCF的研究现状与品质因数类似,其机器学习方法当前尚未形成完整体系。WANG X等[108]针对(Ba,Sr,Ca)HfO3提出“归一化离子半径-端元TCF加权”双参数线性方程,在正交钙钛矿区段把误差降到6.8×10-6-1,并区分结构相变与离子“晃动效应”对TCF的竞争机制,但其未覆盖立方/四方相变区域。NI Z Q等[109]基于20组均匀实验数据训练SVR-RBF/PR混合模型,在1 037组(Ca,Nd,Li)Ti(Mg,Nb)O3候选中筛得69个近零TCF的配方,但这仅适用于特定(Li/Nd,Mg/Nb)掺杂体系。M APPIAH等[110]以冷烧结-退火工艺量化为特征,经SVM闭环优化Ge-堇青石体系,使体系的TCF=1.99×10-6-1
但是,当下ML也存在诸多亟待解决的问题。首先是模型的数据依赖性极强,例如,晶体图卷积神经网络或基于注意力机制的深度网络严重依赖高质量且大规模的晶体结构文件或精确的成分编码数据,极大地限制了其在数据稀缺的新型陶瓷体系或成分复杂掺杂体系中的应用。其次是模型的可解释性普遍不足,例如,支持向量机或等变神经网络框架虽能取得较高的预测精度,但其决策过程往往如同“黑箱”,难以清晰揭示材料微观结构特征与介电常数、介电损耗或温度系数之间的物理机制,导致预测结果难以有效指导具有明确物理目标的材料设计。最后是许多模型的实验验证范围狭窄,其可靠性仅在有限化学空间内得到确认,对于类似于巨介电常数陶瓷中常见的氧空位、缺陷偶极子以及晶界-晶粒协同效应等复杂起源,机器学习模型尚难以实现跨体系的稳健预测与机理鉴别。
此外,数据是机器学习的根基和养分,材料数据的准确性、完整性和数量不足对ML模型的训练和应用会产生显著的影响。如果在训练预测模型时使用了错误的或者含有测量误差的数据,模型可能会学习到错误的性能与材料结构、成分之间的关系,导致对新材料介电特性预测不准确,这也是当下制约ML发展的最主要瓶颈。当前,电介质陶瓷εr的预测相对成熟可靠,TCF的验证局限于某个特定的晶体结构中比较可信,而Q·f受到工艺制备、烧结过程及测试方法的诸多影响,致使文献数据离散性偏大,难以准确预测。并且从理论模型到实验验证以及实际应用过程中,也面临着诸多技术和成本等方面的障碍。理论模型往往是基于一定的假设和简化条件建立的,而实际材料的制备过程和测试环境可能存在各种复杂因素,导致理论预测结果与实验结果存在误差。
在6G通信系统(或太赫兹频段)中,ML预测无机电介质材料介电性能面临的关键挑战在于,模型所依赖的宏观参数(如离子极化率)难以完全反映高频下晶格振动阻尼、氧空位等所引发的额外损耗。并且在实际制备中,烧结助剂引入的杂质、气孔以及晶界结构等复杂因素会进一步加剧理论预测与实验结果的偏差。未来研究趋势将侧重于开发融合阻尼因子、缺陷浓度等微观结构描述符的多尺度ML模型,并结合高通量计算与实验验证,以提升对高频损耗机理的解析能力及预测准确性。
综合文献报道的研究成果及商业化应用产品的参数指标可知,兼具优异电学、力学与热学性能的先进封装技术用低介电常数无机电介质粉体材料,是支撑未来5G/6G通信与封装技术发展的基础,其主要发展趋势体现在以下4个方面:
(1)推动HTCC粉体向精细化与定制化方向发展,尤其是开发兼具超高抗弯强度、超高热导率与低介电常数的HTCC粉体,是当前该领域研究的重点与难点。
(2)玻璃-陶瓷复合材料和微晶玻璃是当前商用LTCC粉体的主流体系,为进一步适应高频通信需求,仍需对其性能进行持续优化。可通过引入高热导率相来提升微晶玻璃的热导率;研发在高频下具有更低介电损耗的玻璃材料,通过精巧的微观结构设计,在材料中合理引入气孔或非晶相实现超低介电常数,以增强玻璃-陶瓷复合材料在高频领域的适用性。
(3)本征低烧结温度陶瓷以及通过助烧剂实现低温烧结的陶瓷,因其优异的介电性能,有望成为下一代高端LTCC粉体的重要选择。
(4)面对陶瓷材料综合性能优化的复杂挑战,引入机器学习等先进计算模型辅助材料设计与性能预测,有望加速新材料的研发进程,为突破现有技术瓶颈提供新的路径。
综上所述,以KYOCERA、Dupont和Ferro为代表的国际企业,在高端HTCC/LTCC粉体领域仍占据主导地位。大力发展新型低介电常数无机电介质材料对提升国家科技竞争力、抢占未来技术制高点具有关键战略意义,未来需持续加强基础材料创新与跨学科融合,以推动高频通信与先进封装技术的持续突破。

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2026年第59卷第6期
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doi: 10.16790/j.cnki.1009-9239.im.2026.06.002
  • 接收时间:2025-10-22
  • 首发时间:2026-09-10
  • 出版时间:2026-06-20
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  • 收稿日期:2025-10-22
  • 修回日期:2025-12-22
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    西安交通大学 电子科学与工程学院,陕西 西安 710049

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周迪(1983-),男(汉族),山东泰安人,教授,主要从事电介质功能材料与器件的研究。
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2种不同金属材料的力学参数

Family
属数
Number of
genus
种数
Number of
species
占总种数比例
Percentage of
total species (%)

Genus
种数
Number of
species
占总种数比例
Percentage of total
species (%)
鹅膏菌科Amanitaceae 2 11 5.26 鹅膏菌属 Amanita 10 4.78
小菇科 Mycenaceae 2 12 5.74 丝盖伞属 Inocybe 5 2.39
多孔菌科 Polyporaceae 8 14 6.70 蜡蘑属 Laccaria 5 2.39
红菇科 Russulaceae 3 23 11.00 小皮伞属 Marasmius 6 2.87
小菇属 Mycena 11 5.26
光柄菇属 Pluteus 5 2.39
红菇属 Russula 17 8.13
栓菌属 Trametes 5 2.39
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