| 232 | 0 | 593 |
| 下载次数 | 被引频次 | 阅读次数 |
拓扑束缚理论通过量化原子尺度键合约束数,构建玻璃微观结构与宏观性能的定量预测模型;分子动力学模拟借助力场模型,实现从纳秒级结构弛豫到微秒级分相动力学的跨时间尺度动态演化规律;机器学习算法构建组分–性能高维映射关系,开创基于性能需求的玻璃组分逆向设计新范式。本文阐明拓扑束缚理论在预测玻璃化转变温度与硬度评估等方面中的关键作用;聚焦面向高功率器件封装、高强度及高频应用等玻璃材料分子动力学模拟研究;探讨机器学习在玻璃性能预测中的新范式,并对三者协同效应在开展新型玻璃材料研发中的应用作出展望。
Abstract:Topological constraint theory(TCT) establishes quantitative predictive models linking the microscopic structure and macroscopic properties of glass via quantifying atomic-scale bonding constraints.Molecular dynamics(MD) simulations,utilizing force field models,enable the exploration of dynamic structural evolution across temporal scales from nanosecond-level structural relaxation to microsecond-level phase separation dynamics.Machine learning(ML) algorithms construct high-dimensional composition-property mappings,thus opening a paradigm for inverse glass design based on targeted performance requirements.This review first elaborates on the fundamental principles of TCT and its pivotal role in predicting glass transition temperature,analyzing thermal expansion behavior,evaluating hardness,and uncovering the mechanisms of the mixed-alkali effect.Subsequently,it highlights the innovative research conducted by using MD simulations,i.e.,structural optimization of encapsulation glasses for high-pressure power devices,mechanical reinforcement mechanisms of high-strength glass fibers,and dielectric property modulation of glass substrates for high-frequency electronic applications as well as the applications in glass ceramics.Finally,this review discusses the emerging paradigms of ML in glass property prediction and envisions the synergistic integration of TCT,MD,and ML in the development of next-generation glass materials.Summary and Prospects TCT via quantifying the types and numbers of atomic constraints within the glass network effectively reveals the intrinsic correlation between glass structure and macroscopic properties.It provides a solid theoretical foundation for understanding and tailoring glass performance,offering a significant potential for the development of high-performance glass materials.Under the guidance of this theoretical framework,MD simulation serves as a powerful tool for investigating the atomic-scale structure and dynamic behavior of glasses,thereby offering an effective pathway to establish structure-property relationships.However,TCT is often limited to specific systems,which can introduce errors when applied to complex compositions.Meanwhile,MD simulations are computationally expensive and sometimes suffer from the absence of accurate potential functions.Several limitations still hinder their broader application i.e.,a) insufficient temporal resolution.Femtosecond-level time steps are inadequate for resolving high-frequency transient polarization responses;b) force fields often simplify quantum effects-current models,and fail to accurately describe local charge fluctuations and dynamic polarizability;and c) Limited spatial scales.Nano-sized models cannot fully capture structural heterogeneity,and statistical convergence under high-frequency electric fields is constrained by available computational power.MD simulations remain inadequate for directly investigating glass performance under high-frequency applications.To overcome these challenges,multiscale coupling models are needed,such as integrating ML algorithms to enhance the accuracy of polarization dynamics through deep learning-based potential functions,and employing materials informatics to accelerate the screening of high-performance glass compositions.These strategies are expected to significantly improve the efficiency of rational glass design.Glass-ceramics,which evolve from glasses,are widely used in applications such as encapsulation materials,printed circuit boards,microwave components,sealing glasses,and low-temperature co-fired ceramic(LTCC) substrates,having a considerable value in high-frequency communications,microelectronic packaging,and power devices.The existing research on the crystallization phenomena in glass-ceramics mainly follows two technical pathways,i.e., a) employing structural characterization methods in combination with diffusion kinetics simulations and experimental validation to indirectly infer crystal precipitation behavior,and b)constructing glass-ceramic models in MD systems by manipulation strategies such as "dig-insert" or "cut-combine" approach.However,these approaches remain inherently limited to either indirect representations of crystalline formation or manually constructed models.Overcoming the existing technological bottlenecks to enable real-time visualization of crystal nucleation and growth mechanisms during dynamic simulations remains a critical challenge.Finally,in the context of advanced packaging and heterogeneous integration,glass substrates play a crucial role in 3D integration,but face multiple challenges in interfacial reaction dynamics with silicon/metal substrates.These include atomic-scale interdiffusion leading to dielectric degradation,cross-scale coupling between nano scale chemical bond reconstruction and macroscopic stress evolution,as well as non-equilibrium thermodynamic effects induced by laser-assisted processing.There is an urgent need to develop simulation frameworks that integrate co-evolution of multiple properties across scales,enabling quantitative prediction of atomic interdiffusion coefficients,chemical bond reconstruction energy barriers,and residual stress distributions.Such efforts will provide the theoretical foundation for the design and process optimization of high-reliability glass substrate s.
[1] KAUZMANN W. The nature of the glassy state and the behavior of liquids at low temperatures[J]. Chem Rev, 1948, 43(2):219–256.
[2] ADAM G, GIBBS J H. On the temperature dependence of cooperative relaxation properties in glass-forming liquids[J]. J Chem Phys, 1965,43(1):139–146.
[3] DEBENEDETTI P G, STILLINGER F H. Supercooled liquids and the glass transition[J]. Nature, 2001, 410(6825):259–267.
[4] ZACHARIASEN W H. The atomic arrangement in glass[J]. J Am Chem Soc, 1932, 54(10):3841–3851.
[5] TURNBULL D, COHEN M H. On the free-volume model of the liquid-glass transition[J]. J Chem Phys, 1970, 52(6):3038–3041.
[6]干福熹.无机玻璃物理性质计算和成分设计[M].上海:上海科学技术出版社, 1981.
[7]姜中宏,胡丽丽.玻璃的相图结构模型[J].中国科学(E辑), 1996(5):395–404.JIANG Zhonghong, HU Lili. Sci China Ser E, 1996(5):395–404.
[8]姜中宏,张勤远.玻璃形成:定量预测研究(英文)[J]. Sci China Mater, 2015, 58(5):378–425.
[9] KOHLI J T, HUBERT M, YOUNGMAN R E, et al. A Corning perspective on the future of technical glass in our evolving world[J].Int J Appl Glass Sci, 2022, 13(3):292–307.
[10] PHILLIPS J C, THORPE M F. Constraint theory, vector percolation and glass formation[J]. Solid State Commun, 1985, 53(8):699–702.
[11] GUPTA P K, MAURO J C. Composition dependence of glass transition temperature and fragility. I. A topological model incorporating temperature-dependent constraints[J]. J Chem Phys,2009, 130(9):094503.
[12] RODRIGUES B P, MAURO J C, YUE Y Z, et al. Modifier constraints in alkali ultraphosphate glasses[J]. J Non Cryst Solids, 2014, 405:12–15.
[13]曾惠丹,邓逸凡,李响,等.基于拓扑结构束缚理论的玻璃性质计算方法[J].硅酸盐学报, 2018, 46(1):1–10.ZENG Huidan, DENG Yifan, LI Xiang, et al. J Chin Ceram Soc, 2018,46(1):1–10.
[14] ZHENG Q J, ZENG H D. Progress in modeling of glass properties using topological constraint theory[J]. Int J Appl Glass Sci, 2020, 11(3):432–441.
[15] SREERAM A N, SWILER D R, VARSHNEYA A K. Gibbs-DiMarzio equation to describe the glass transition temperature trends in multicomponent chalcogenide glasses[J]. J Non Cryst Solids, 1991,127(3):287–297.
[16] PHILLIPS J C. Constraint theory and hierarchical protein dynamics[J].J Phys:Condens Matter, 2004, 16(44):S5065–S5072.
[17] GUPTA P K, MIRACLE D B. A topological basis for bulk glass formation[J]. Acta Mater, 2007, 55(13):4507–4515.
[18] CHBEIR R, WELTON A, BURGER M, et al. Glass transition,topology, and elastic models of Se-based glasses[J]. J Am Ceram Soc,2023, 106(6):3277–3302.
[19] NAUMIS G G. Glass transition phenomenology and flexibility:An approach using the energy landscape formalism[J]. J Non Cryst Solids,2006, 352(42–49):4865–4870.
[20] SMEDSKJAER M M, MAURO J C, YUE Y Z. Prediction of glass hardness using temperature-dependent constraint theory[J]. Phys Rev Lett, 2010, 105(11):115503.
[21] SHEARER A, MAURO J C. Topological constraint model of modified telluro-vanadate glasses[J]. Int J Appl Glass Sci, 2024, 15(3):195–202.
[22] YANG K, YANG B, XU X Y, et al. Prediction of the Young’s modulus of silicate glasses by topological constraint theory[J]. J Non Cryst Solids, 2019, 514:15–19.
[23] WILKINSON C J, ZHENG Q J, HUANG L P, et al. Topological constraint model for the elasticity of glass-forming systems[J]. J Non Cryst Solids X, 2019, 2:100019.
[24] BISBROUCK N, MICOULAUT M, DELAYE J M, et al. Structure:Property relationship and chemical durability of magnesium-containing borosilicate glasses with insight from topological constraints[J]. NPJ Mater Degrad, 2022, 6:58.
[25] KENINGER N, FELLER S. Application of topological constraint theory to alkali borate and silicate glass systems[J]. J Non Cryst Solids,2024, 624:122731.
[26] JIANG Q, ZENG H D, LIU Z, et al. Glass transition temperature and topological constraints of sodium borophosphate glass-forming liquids[J]. J Chem Phys, 2013, 139(12):124502.
[27] LI X, ZENG H D, JIANG Q, et al. Modifier constraint in alkali borophosphate glasses using topological constraint theory[J]. Phys B Condens Matter, 2016, 502:88–92.
[28] ZENG H D, YE F, LI X, et al. Elucidating the role of AlO6-octahedra in aluminum silicophosphate glasses through topological constraint theory[J]. J Am Ceram Soc, 2017, 100(4):1395–1401.
[29] POTTER A R, WILKINSON C J, KIM S H, et al. Effect of water on topological constraints in silica glass[J]. Scr Mater, 2019, 160:48–52.
[30] DING Z J, WILKINSON C J, ZHENG J F, et al. Topological understanding of the mixed alkaline earth effect in glass[J]. J Non Cryst Solids, 2020, 527:119696.
[31] NAUMIS G G. Energy landscape and rigidity[J]. Phys Rev E, 2005,71(2):026114.
[32] ZENG H D, YE F, LI X, et al. Calculation of thermal expansion coefficient of glasses based on topological constraint theory[J]. Chem Phys Lett, 2016, 662:268–272.
[33] ZENG H D, JIANG Q, LIU Z, et al. Unique sodium phosphosilicate glasses designed through extended topological constraint theory[J]. J Phys Chem B, 2014, 118(19):5177–5183.
[34] RAMOS M A, MORENO J A, VIEIRA S, et al. Correlation of elastic,acoustic and thermodynamic properties in B2O3 glasses[J]. J Non Cryst Solids, 1997, 221(2–3):170–180.
[35] LI X Z, WANG Y H, YANG P H, et al. Topological models of yttrium aluminosilicate glass based on molecular dynamics and structure characterization analysis[J]. J Am Ceram Soc, 2025, 108(1):e20118.
[36] LU P, WU X Y, YANG J Q, et al. Theoretical analysis on the correlations between the mechanical properties and structures of(100–x)GeS2–xSb2S3 chalcogenide glasses[J]. J Non Cryst Solids, 2025,655:123461.
[37] JIANG Q, ZENG H D, LI X, et al. Tailoring sodium silicophosphate glasses containing SiO6-octahedra through structural rules and topological principles[J]. J Chem Phys, 2014, 141(12):124506.
[38] SMEDSKJAER M M, MAURO J C, SEN S, et al. Quantitative design of glassy materials using temperature-dependent constraint theory[J].Chem Mater, 2010, 22(18):5358–5365.
[39] SMEDSKJAER M M, MAURO J C, YOUNGMAN R E, et al.Topological principles of borosilicate glass chemistry[J]. J Phys Chem B, 2011, 115(44):12930–12946.
[40] HERMANSEN C, MAURO J C, YUE Y Z. A model for phosphate glass topology considering the modifying ion sub-network[J]. J Chem Phys, 2014, 140(15):154501.
[41] HERMANSEN C, GUO X J, YOUNGMAN R E, et al.Structure-topology-property correlations of sodium phosphosilicate glasses[J]. J Chem Phys, 2015, 143(6):064510.
[42] YANG Y J, WILKINSON C J, LEE K H, et al. Prediction of the glass transition temperatures of zeolitic imidazolate glasses through topological constraint theory[J]. J Phys Chem Lett, 2018, 9(24):6985–6990.
[43] ALDER B J, WAINWRIGHT T E. Studies in molecular dynamics. I.general method[J]. J Chem Phys, 1959, 31(2):459–466.
[44] WOODCOCK L V, ANGELL C A, CHEESEMAN P. Molecular dynamics studies of the vitreous state:Simple ionic systems and silica[J]. J Chem Phys, 1976, 65(4):1565–1577.
[45] DU J C. Challenges in molecular dynamics simulations of multicomponent oxide glasses[M]//Molecular Dynamics Simulations of Disordered Materials. Cham:Springer International Publishing,2015:157–180.
[46] DENG L, DU J C. Development of boron oxide potentials for computer simulations of multicomponent oxide glasses[J]. J Am Ceram Soc, 2019, 102(5):2482–2505.
[47] WANG M Y, ANOOP KRISHNAN N M, WANG B, et al. A new transferable interatomic potential for molecular dynamics simulations of borosilicate glasses[J]. J Non Cryst Solids, 2018, 498:294–304.
[48]戴晓茹,赵君婕,俆秀瑕,等.利用分子动力学模拟玻璃结构与计算玻璃性能研究进展[J].硅酸盐学报, 2021, 49(12):2691–2709.DAI Xiaoru, ZHAO Junjie, XU Xiuxia, et al. J Chin Ceram Soc, 2021,49(12):2691–2709.
[49] GUILLOT B, SATOR N. A computer simulation study of natural silicate melts. Part II:High pressure properties[J]. Geochim Cosmochim Acta, 2007, 71(18):4538–4556.
[50] PEDONE A. Properties calculations of silica-based glasses by atomistic simulations techniques:A review[J]. J Phys Chem C, 2009,113(49):20773–20784.
[51] REN M G, DENG L, DU J C. Surface structures of sodium borosilicate glasses from molecular dynamics simulations[J]. J Am Ceram Soc,2017, 100(6):2516–2524.
[52] REN M G, DENG L, DU J C. Bulk, surface structures and properties of sodium borosilicate and boroaluminosilicate nuclear waste glasses from molecular dynamics simulations[J]. J Non Cryst Solids, 2017,476:87–94.
[53] ZHAO J J, XU X X, REN K, et al. Structural origins of BaF2/Ba1-xRxF2+x/RF3 nanocrystals formation from phase separated fluoroaluminosilicate glass:A molecular dynamic simulation study[J].Adv Theory Simul, 2019, 2(10):1900062.
[54] WADHWA A, XU X X, HUANG Y P, et al. Modeling phase separation mechanisms in oxy-fluoride glass-ceramics containing SrF2:Ln3+and ZnAl2O4:Cr3+nanocrystals[J]. J Am Ceram Soc, 2024, 107(12):7800–7809.
[55] DAMODARAN K V, RAO B G, RAO K J. A molecular dynamics study of a lead silicate(PbO.SiO2)glass and melt[J]. Phys Chem Glasses, 1990, 31(6):212.
[56] ZHONG C, YAN J T, JIANG Q, et al. Experimental characterizations and molecular dynamics simulations of the structures of lead aluminosilicate glasses[J]. J Non Cryst Solids, 2022, 576:121252.
[57] HONG N V, LAN M T, HUNG H V, et al. Microstructure of lead silicate melt under compression:Insight from computer simulation[J].Eur Phys J B, 2019, 92(12):268.
[58] CHEN C Y, ZENG H D, DENG Y F, et al. A novel viscosity-temperature model of glass-forming liquids by modifying the Eyring viscosity equation[J]. Appl Sci, 2020, 10(2):428.
[59] CHEN C Y, ZHONG C, ZHANG Y, et al. Structural and dynamic properties of Mg O–Al2O3–SiO2 glasses from molecular dynamics simulations and NMR[J]. Ceram Int, 2022, 48(15):22444–22450.
[60] CHEN C Y, ZHONG C, LI A, et al. Molecular dynamic simulations study on the structure and properties of Li2O-containing magnesium aluminosilicate glasses[J]. Mater Today Commun, 2022, 32:103945.
[61]王超凡,钟聪,胡浩,等. Al2O3取代SiO2对铝硅酸盐玻璃结构和性能影响的分子动力学[J].硅酸盐学报, 2022, 50(4):886–893.WANG Chaofan, ZHONG Cong, HU Hao, et al. J Chin Ceram Soc,2022, 50(4):886–893.
[62] MORI N, SUGIMOTO Y, HARADA J, et al. Dielectric properties of new glass-ceramics for LTCC applied to microwave or millimeter-wave frequencies[J]. J Eur Ceram Soc, 2006, 26(10–11):1925–1928.
[63] LI H, REBEN M, DOBYNE J, et al. A comprehensive study of the batch-to-melt conversion process of a high-boron alkaline earth aluminosilicate glass[J]. Int J Appl Glass Sci, 2022, 13(3):484–498.
[64] YANG R, ZHANG Y, ZU Q, et al. Molecular dynamics simulations study on structure and properties of CaO–MgO–B2O3–Al2O3–SiO2glasses with different B2O3/MgO[J]. J Non Cryst Solids, 2023, 616:122458.
[65] YANG M Y, CHEN C Y, YANG R, et al. Effect of phosphorus on the structural nonhomogeneity and dielectric properties of alkaline earth aluminoborosilicate glasses[J]. J Non Cryst Solids, 2025, 657:123503.
[66] WU J T, YAN Z M, HAO Z Y, et al. Property–structure evolution in alkali-free boroaluminosilicate glass via B2O3 substitution for alkaline earth oxides[J]. J Am Ceram Soc, 2025, 108(6):e20400.
[67] DENG B H, HARRIS J T, LUO J. Atomic picture of crack propagation in Li2O-2SiO2 glass-ceramics revealed by molecular dynamics simulations[J]. J Am Ceram Soc, 2020, 103(8):4304–4312.
[68] DENG B H, HARRIS J T. A novel approach to generate glass-ceramics samples for molecular dynamics simulations[J]. Comput Mater Sci,2021, 186:110008.
[69] ZHANG Y J, MCKENZIE M E, YAN J P, et al. Crystal growth and structural evolution in Lithium aluminosilicate glass-ceramics from molecular dynamics simulations[J]. Ceram Int, 2025, 51(19):27688–27698.
[70] ARIGA S, OHKUBO T, URATA S, et al. A new universal force-field for the Li2S–P2S5 system[J]. Phys Chem Chem Phys, 2022, 24(4):2567–2581.
[71] SHIMIZU K, BAHUGUNA P, MORI S, et al. Enhanced ionic conductivity through crystallization of Li3PS4 glass by machine learning molecular dynamics simulations[J]. J Phys Chem C, 2024,128(24):10139–10145.
[72] KOBAYASHI R, TAKEMOTO S, ITO R. Influence of nano-crystallization on Li-ion conductivity in glass Li3PS4:A molecular dynamics study[J]. J Solid State Electrochem, 2024, 28(12):4389–4399.
[73] MICOULAUT M, POITRAS L M, S?RENSEN S S, et al.Compressibility, diffusivity, and elasticity in relationship with ionic conduction:An atomic scale description of densified Li2S–SiS2glasses[J]. J Am Ceram Soc, 2024, 107(12):7711–7726.
[74] MICOULAUT M. Molecular dynamics simulations of SiS2–Li2S–LiI fast ion glasses:Increase of conductivity is driven by network atoms[J]. J Non Cryst Solids, 2024, 636:123017.
[75] CAO Y, TAGHVAIE NAKHJIRI A, GHADIRI M. Different applications of machine learning approaches in materials science and engineering:Comprehensive review[J]. Eng Appl Artif Intell, 2024,135:108783.
[76] FANG J H, XIE M, HE X Q, et al. Machine learning accelerates the materials discovery[J]. Mater Today Commun, 2022, 33:104900.
[77] LIU H, FU Z P, YANG K, et al. Machine learning for glass science and engineering:A review[J]. J Non Cryst Solids, 2021, 557:119419.
[78] SINGH J, SINGH S. A review on Machine learning aspect in physics and mechanics of glasses[J]. Mater Sci Eng B, 2022, 284:115858.
[79] LIU Y, ZHAO T L, YANG G, et al. The onset temperature(Tg)of AsxSe1-x glasses transition prediction:A comparison of topological and regression analysis methods[J]. Comput Mater Sci, 2017, 140:315–321.
[80] LIU Y, WU J M, YANG G, et al. Predicting the onset temperature(Tg)of GexSe1-x glass transition:A feature selection based two-stage support vector regression method[J]. Sci Bull, 2019, 64(16):1195–1203.
[81] TIAN J, ZHAO Y X, HUANG Y P, et al. Theoretical prediction of vickers hardness for oxide glasses:Machine learning model,interpretability analysis, and experimental validation[J]. Materialia,2024, 33:102006.
[82] DENG Y F, ZENG H D, JIANG Y J, et al. Ridge regression for predicting elastic moduli and hardness of calcium aluminosilicate glasses[J]. Mater Res Express, 2018, 5(3):035205.
[83] LIN B N, SHIH Y T. Temperature and frequency-dependent dielectric properties prediction of oxide glasses by machine learning[J]. Ceram Int, 2025, 51(16):22615–22627.
[84]杨茂源.硼硅基玻璃与微晶玻璃材料结构与性能研究[D].上海:华东理工大学, 2025.
[85] GIGLI L, TISI D, GRASSELLI F, et al. Mechanism of charge transport in lithium thiophosphate[J]. Chem Mater, 2024, 36(3):1482–1496.
[86] ZHOU R, LUO K, MARTIN S W, et al. Insights into lithium sulfide glass electrolyte structures and ionic conductivity via machine learning force field simulations[J]. ACS Appl Mater Interfaces, 2024, 16(15):18874–18887.
基本信息:
DOI:10.14062/j.issn.0454-5648.20250300
中图分类号:TQ171.1;TP181
引用信息:
[1]张靖,黄凯彧,杨茂源,等.拓扑束缚理论、分子动力学与机器学习在高性能玻璃材料设计中的多尺度方法解析[J].硅酸盐学报,2025,53(10):2882-2898.DOI:10.14062/j.issn.0454-5648.20250300.
基金信息:
国家重点研发计划项目(2021YFB3701600); 国家自然科学基金面上项目(52272001)