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Willemite Zn2SiO4 crystallizes in such a way that Zn and Si are tetrahedrally coordinated with O in an ionic-covalent manner to form ZnO4 and SiO4 tetrahedra as the building units. The tetrahedra are corner-sharing, of which one SiO4 tetrahedron connects eight ZnO4 tetrahedra, and one ZnO4 tetrahedron links four ZnO4 tetrahedra and four SiO4 tetrahedra. The unique crystallographic configuration gives rise to parallel tunnels with a diameter of 5.7 Å along the c-axis direction. The tunnel structure of Zn2SiO4 definitely correlates with its interesting elastic and thermal properties. On the one hand, the elastic modulus, coefficient of thermal expansion (CTE), and thermal conductivity are low. Zn2SiO4 has low Vickers hardness of 6.6 GPa at 10 N and low thermal conductivity of 2.34 W/(m·K) at 1073 K. On the other hand, the elastic modulus and CTE along the c-axis are significantly larger than those along the a- and b-axes, showing obvious elastic and thermal expansion anisotropy. Specifically, the Young’s modulus along the z direction (Ez = 179 GPa) is almost twice those in the x and y directions (Ex = Ey = 93 GPa). The high thermal expansion anisotropy is ascribed to the empty tunnels along the c-axis, which are capable of more accommodating the thermal expansion along the a- and b-axes. The striking properties of Zn2SiO4 in elastic modulus, hardness, CTE, and thermal conductivity make it much useful in various fields of ceramics, such as low thermal expansion, thermal insulation, and machining tools.


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Tunnel-structured willemite Zn2SiO4: Electronic structure, elastic, and thermal properties

Show Author's information Ruqiao DAIa,bRenfei CHENGaJiemin WANGaChao ZHANGaCuiyu LIcHailong WANGdXiaohui WANGa( )Yanchun ZHOUe( )
Shenyang National Laboratory for Materials Science, Institute of Metal Research, Chinese Academy of Sciences, Shenyang 110016, China
School of Materials Science and Engineering, University of Science and Technology of China, Shenyang 110016, China
Advanced Computing East China Sub-center, Suma Technology Company Limited, Kunshan 215300, China
School of Material Science and Engineering, Zhengzhou University, Zhengzhou 450001, China
Science and Technology on Advanced Functional Composite Laboratory, Aerospace Research Institute of Materials & Processing Technology, Beijing 100076, China

Abstract

Willemite Zn2SiO4 crystallizes in such a way that Zn and Si are tetrahedrally coordinated with O in an ionic-covalent manner to form ZnO4 and SiO4 tetrahedra as the building units. The tetrahedra are corner-sharing, of which one SiO4 tetrahedron connects eight ZnO4 tetrahedra, and one ZnO4 tetrahedron links four ZnO4 tetrahedra and four SiO4 tetrahedra. The unique crystallographic configuration gives rise to parallel tunnels with a diameter of 5.7 Å along the c-axis direction. The tunnel structure of Zn2SiO4 definitely correlates with its interesting elastic and thermal properties. On the one hand, the elastic modulus, coefficient of thermal expansion (CTE), and thermal conductivity are low. Zn2SiO4 has low Vickers hardness of 6.6 GPa at 10 N and low thermal conductivity of 2.34 W/(m·K) at 1073 K. On the other hand, the elastic modulus and CTE along the c-axis are significantly larger than those along the a- and b-axes, showing obvious elastic and thermal expansion anisotropy. Specifically, the Young’s modulus along the z direction (Ez = 179 GPa) is almost twice those in the x and y directions (Ex = Ey = 93 GPa). The high thermal expansion anisotropy is ascribed to the empty tunnels along the c-axis, which are capable of more accommodating the thermal expansion along the a- and b-axes. The striking properties of Zn2SiO4 in elastic modulus, hardness, CTE, and thermal conductivity make it much useful in various fields of ceramics, such as low thermal expansion, thermal insulation, and machining tools.

Keywords: thermal conductivity, thermal expansion, electronic structure, elastic properties, Zn2SiO4

References(77)

[1]
Takesue M, Hayashi H, Smith RL Jr. Thermal and chemical methods for producing zinc silicate (willemite): A review. Prog Cryst Growth Charact Mater 2009, 55: 98-124.
[2]
Leverenz HW, Urbach F. Introduction to the luminescence of solids. Phys Today 1950, 3: 32.
[3]
Harrison DE. Relation of some surface chemical properties of zinc silicate phosphor to its behavior in fluorescent lamps. J Electrochem Soc 1960, 107: 210.
[4]
Ronda CR. Recent achievements in research on phosphors for lamps and displays. J Lumin 1997, 72-74: 49-54.
[5]
Minami T. Oxide thin-film electroluminescent devices and materials. Solid State Electron 2003, 47: 2237-2243.
[6]
Feldmann C, Jüstel T, Ronda CR, et al. Inorganic luminescent materials: 100 years of research and application. Adv Funct Mater 2003, 13: 511-516.
[7]
Wang C, Wang JR, Jiang J, et al. Redesign and manually control the commercial plasma green Zn2SiO4:Mn2+ phosphor with high quantum efficiency for white light emitting diodes. J Alloys Compd 2020, 814: 152340.
[8]
Essalah G, Kadim G, Jabar A, et al. Structural, optical, photoluminescence properties and ab initio calculations of new Zn2SiO4/ZnO composite for white light emitting diodes. Ceram Int 2020, 46: 12656-12664.
[9]
Lin CC, Shen PY. Role of screw axes in dissolution of willemite. Geochimica Cosmochimica Acta 1993, 57: 1649-1655.
[10]
Simonov MA, Sandomirskii PA, Egorov-Tismenko YK, et al. Crystal structure of willemite, Zn2[SiO4]. Dokl Akad Nauk 1977, 237: 581-584.
[11]
Krasnenko TI, Enyashin AN, Zaitseva NA, et al. Structural and chemical mechanism underlying formation of Zn2SiO4:Mn crystalline phosphor properties. J Alloys Compd 2020, 820: 153129.
[12]
Omri K, Lemine OM, Mir LE. Mn doped zinc silicate nanophosphor with bifunctionality of green-yellow emission and magnetic properties. Ceram Int 2017, 43: 6585-6591.
[13]
Karazhanov SZ, Ravindran P, Vajeeston P, et al. Phase stability and pressure-induced structural transitions at zero temperature in ZnSiO3 and Zn2SiO4. J Phys Condens Matter 2009, 21: 485801.
[14]
Mishra KC, Johnson KH, DeBoer BG, et al. First principles investigation of electronic structure and associated properties of zinc orthosilicate phosphors. J Lumin 1991, 47: 197-206.
[15]
Kretov MK, Iskandarova IM, Potapkin BV, et al. Simulation of structured 4T16A1 emission bands of Mn2+ impurity in Zn2SiO4: A first-principle methodology. J Lumin 2012, 132: 2143-2150.
[16]
Essalah G, Kadim G, Jabar A, et al. Structural, optical, photoluminescence properties and ab initio calculations of new Zn2SiO4/ZnO composite for white light emitting diodes. Ceram Int 2020, 46: 12656-12664.
[17]
Kohn W, Sham LJ. Self-consistent equations including exchange and correlation effects. Phys Rev 1965, 140: A1133-A1138.
[18]
Perdew JP, Burke K, Ernzerhof M. Generalized gradient approximation made simple. Phys Rev Lett 1996, 77: 3865-3868.
[19]
Segall MD, Lindan PJD, Probert MJ, et al. First-principles simulation: Ideas, illustrations and the CASTEP code. J Phys Condens Matter 2002, 14: 2717-2744.
[20]
Payne MC, Teter MP, Allan DC, et al. Iterative minimization techniques for ab initio total-energy calculations: Molecular dynamics and conjugate gradients. Rev Mod Phys 1992, 64: 1045-1097.
[21]
Kresse G, Furthmüller J. Efficient iterative schemes for ab initio total-energy calculations using a plane-wave basis set. Phys Rev B 1996, 54: 11169-11186.
[22]
Blöchl PE. Projector augmented-wave method. Phys Rev B 1994, 50: 17953-17979.
[23]
Dronskowski R, Bloechl PE. Crystal orbital Hamilton populations (COHP): Energy-resolved visualization of chemical bonding in solids based on density-functional calculations. J Phys Chem 1993, 97: 8617-8624.
[24]
Maintz S, Deringer VL, Tchougréeff AL, et al. Analytic projection from plane-wave and PAW wavefunctions and application to chemical-bonding analysis in solids. J Comput Chem 2013, 34: 2557-2567.
[25]
Klaska KH, Eck JC, Pohl D. New investigation of willemite. Acta Crystallogr Sect B 1978, 34: 3324-3325.
[26]
Onufrieva TA, Krasnenko ТI, Zaitseva NA, et al. Concentration growth of luminescence intensity of phosphor Zn2-2xMn2xSiO4 (x ≤ 0.13): Crystal-chemical and quantum-mechanical justification. Mater Res Bull 2018, 97: 182-188.
[27]
Karazhanov SZ, Ravindran P, Fjellvåg H, et al. Electronic structure and optical properties of ZnSiO3 and Zn2SiO4. J Appl Phys 2009, 106: 123701.
[28]
Basalaev YM, Marinova SA. Role of sublattices in the formation of the electronic structure and chemical bonding in a Zn2SiO4 crystal with a defect chalcopyrite lattice. J Struct Chem 2012, 53: 35-38.
[29]
Henkelman G, Arnaldsson A, Jónsson H. A fast and robust algorithm for Bader decomposition of charge density. Comput Mater Sci 2006, 36: 354-360.
[30]
Zhou AF, Velázquez R, Wang XP, et al. Nanoplasmonic 1D diamond UV photodetectors with high performance. ACS Appl Mater Interfaces 2019, 11: 38068-38074.
[31]
Han WQ, Yu HG, Zhi CY, et al. Isotope effect on band gap and radiative transitions properties of boron nitride nanotubes. Nano Lett 2008, 8: 491-494.
[32]
Voigt W. Lehrbuch der Kristallphysik. Leipzig, Germany: Johnson Reprint Corp., 1928. (in German)
[33]
Reuss A. Berechnung der fließgrenze von mischkristallen auf grund der plastizitätsbedingung für einkristalle. Z Angew Math Mech 1929, 9: 49-58. (in German)
[34]
Hill R. The elastic behaviour of a crystalline aggregate. Proc Phys Soc A 1952, 65: 349-354.
[35]
Zhou YC, Zhao C, Wang F, et al. Theoretical prediction and experimental investigation on the thermal and mechanical properties of bulk β-Yb2Si2O7. J Am Ceram Soc 2013, 96: 3891-3900.
[36]
Guo L, Li BW, Cheng YX, et al. Composition optimization, high-temperature stability, and thermal cycling performance of Sc-doped Gd2Zr2O7 thermal barrier coatings: Theoretical and experimental studies. J Adv Ceram 2022, 11: 454-469.
[37]
Mouhat F, Coudert FX. Necessary and sufficient elastic stability conditions in various crystal systems. Phys Rev B 2014, 90: 224104.
[38]
Born M. On the stability of crystal lattices. Ⅰ. Math Proc Cambridge Philos Soc 1940, 36: 160-172.
[39]
Iuga M, Steinle-Neumann G, Meinhardt J. Ab-initio simulation of elastic constants for some ceramic materials. Eur Phys J B 2007, 58: 127-133.
[40]
Ching WY, Mo YX, Aryal S, et al. Intrinsic mechanical properties of 20 MAX-phase compounds. J Am Ceram Soc 2013, 96: 2292-2297.
[41]
Gilman JJ. Electronic Basis of the Strength of Materials. Cambridge, UK: Cambridge University Press, 2003.
[42]
Wang JY, Zhou YC. Recent progress in theoretical prediction, preparation, and characterization of layered ternary transition- metal carbides. Annu Rev Mater Res 2009, 39: 415-443.
[43]
Zhou YC, Xiang HM, Zhang HM, et al. Theoretical prediction on the stability, electronic structure, room and elevated temperature properties of a new MAB phase Mo2AlB2. J Mater Sci Technol 2019, 35: 2926-2934.
[44]
Xu Q, Zhou YC, Zhang HM, et al. Theoretical prediction, synthesis, and crystal structure determination of new MAX phase compound V2SnC. J Adv Ceram 2020, 9: 481-492.
[45]
Ravindran P, Fast L, Korzhavyi PA, et al. Density functional theory for calculation of elastic properties of orthorhombic crystals: Application to TiSi2. J Appl Phys 1998, 84: 4891-4904.
[46]
Hadi MA, Kelaidis N, Naqib SH, et al. Mechanical behaviors, lattice thermal conductivity and vibrational properties of a new MAX phase Lu2SnC. J Phys Chem Solids 2019, 129: 162-171.
[47]
Vaitheeswaran G, Kanchana V, Svane A, et al. Elastic properties of MgCNi3—A superconducting perovskite. J Phys Condens Matter 2007, 19: 326214.
[48]
Sun ZQ, Zhou YC, Wang JY, et al. γ-Y2Si2O7, a machinable silicate ceramic: Mechanical properties and machinability. J Am Ceram Soc 2007, 90: 2535-2541.
[49]
Clarke DR. Materials selection guidelines for low thermal conductivity thermal barrier coatings. Surf Coat Technol 2003, 163-164: 67-74.
[50]
Wang XF, Xiang HM, Sun X, et al. Mechanical properties and damage tolerance of bulk Yb3Al5O12 ceramic. J Mater Sci Technol 2015, 31: 369-374.
[51]
Mitro SK, Hadi MA, Parvin F, et al. Effect of boron incorporation into the carbon-site in Nb2SC MAX phase: Insights from DFT. J Mater Res Technol 2021, 11: 1969-1981.
[52]
Yeganeh-Haeri A, Weidner DJ. Elasticity of a beryllium silicate (phenacite: Be2SiO4). Phys Chem Miner 1989, 16: 360-364.
[53]
Ranganathan SI, Ostoja-Starzewski M. Universal elastic anisotropy index. Phys Rev Lett 2008, 101: 055504.
[54]
Nye JF. Physical Properties of Crystals: Their Representation by Tensors and Matrices. Oxford, UK: Oxford University Press, 1985.
[55]
Ting TCT. On anisotropic elastic materials for which Young’s modulus E(n) is independent of n or the shear modulus G(n,m) is independent of n and m. J Elasticity 2005, 81: 271-292.
[56]
Tvergaard V, Hutchinson JW. Microcracking in ceramics induced by thermal expansion or elastic anisotropy. J Am Ceram Soc 1988, 71: 157-166.
[57]
Rice RW. Possible effects of elastic anisotropy on mechanical properties of ceramics. J Mater Sci Lett 1994, 13: 1261-1266.
[58]
Zhang XD, Wang F, Li ZJ, et al. Phase stability, elastic and electronic properties of Cr2TiAlC2: A new ordered layered ternary carbide. Mater Lett 2016, 185: 389-391.
[59]
Surucu G. Investigation of structural, electronic, anisotropic elastic, and lattice dynamical properties of MAX phases borides: An ab-initio study on hypothetical M2AB (M = Ti, Zr, Hf; A = Al, Ga, In) compounds. Mater Chem Phys 2018, 203: 106-117.
[60]
Gao FM, He JL, Wu ED, et al. Hardness of covalent crystals. Phys Rev Lett 2003, 91: 015502.
[61]
Togo A, Oba F, Tanaka I. First-principles calculations of the ferroelastic transition between rutile-type and CaCl2-type SiO2 at high pressures. Phys Rev B 2008, 78: 134106.
[62]
Mittal R, Chaplot SL, Mishra SK, et al. Inelastic neutron scattering and lattice dynamical calculation of negative thermal expansion compounds Cu2O and Ag2O. Phys Rev B 2007, 75: 174303.
[63]
Oba Y, Tadano T, Akashi R, et al. First-principles study of phonon anharmonicity and negative thermal expansion in ScF3. Phys Rev Mater 2019, 3: 033601.
[64]
Okada Y, Tokumaru Y. Precise determination of lattice parameter and thermal expansion coefficient of silicon between 300 and 1500 K. J Appl Phys 1984, 56: 314-320.
[65]
Schneider H, Schreuer J, Hildmann B. Structure and properties of mullite—A review. J Eur Ceram Soc 2008, 28: 329-344.
[66]
White GK, Roberts RB. Thermal expansion of willemite, Zn2SiO4. Aust J Phys 1988, 41: 791-798.
[67]
Dove MT, Gambhir M, Hammonds KD, et al. Distortions of framework structures. Phase Transit 1996, 58: 121-143.
[68]
Giddy AP, Dove MT, Pawley GS, et al. The determination of rigid-unit modes as potential soft modes for displacive phase transitions in framework crystal structures. Acta Crystallogr Sect A 1993, 49: 697-703.
[69]
Hammonds KD, Dove MT, Giddy AP, et al. Rigid-unit phonon modes and structural phase transitions in framework silicates. Am Mineral 1996, 81: 1057-1079.
[70]
Dove MT. Flexibility of network materials and the Rigid Unit Mode model: A personal perspective. Philos Trans Roy Soc A 2019, 377: 20180222.
[71]
Wang ZY, Wang F, Wang L, et al. First-principles study of negative thermal expansion in zinc oxide. J Appl Phys 2013, 114: 063508.
[72]
Stevens R, Woodfield BF, Boerio-Goates J, et al. Heat capacities, third-law entropies and thermodynamic functions of the negative thermal expansion material Zn2GeO4 from T = (0 to 400) K. J Chem Thermodyn 2004, 36: 349-357.
[73]
Yuan HL, Gao QL, Xu P, et al. Understanding negative thermal expansion of Zn2GeO4 through local structure and vibrational dynamics. Inorg Chem 2021, 60: 1499-1505.
[74]
Bunting EN. Phase equilibria in the system SiO2-ZnO. J Am Ceram Soc 1930, 13: 5-10.
[75]
Mounet N, Marzari N. First-principles determination of the structural, vibrational and thermodynamic properties of diamond, graphite, and derivatives. Phys Rev B 2005, 71: 205214.
[76]
Zhang XY, Xie WQ, Sun L, et al. Continuous SiC skeleton reinforced highly oriented graphite flake composites with high strength and specific thermal conductivity. J Adv Ceram 2022, 11: 403-413.
[77]
Sun ZQ, Li MS, Zhou YC. Recent progress on synthesis, multi-scale structure, and properties of Y-Si-O oxides. Int Mater Rev 2014, 59: 357-383.
Publication history
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Publication history

Received: 12 March 2022
Revised: 28 April 2022
Accepted: 29 April 2022
Published: 25 July 2022
Issue date: August 2022

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© The Author(s) 2022.

Acknowledgements

This work was supported by Shenyang National Laboratory for Materials Science, Institute of Metal Research, Chinese Academy of Sciences. The authors would like to thank Tianjia Guang for collecting the UV-Vis spectra, Junchao Wang for the preparation of Zn2SiO4 powders, Yiming Lei for measuring the elastic modulus, and Jun Zuo for measuring the thermal conductivity.

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