Correlation of the Glass Transition Temperature and Average Energetic Connectivity in Network Chalcogenide Glasses

dc.citation.epage37
dc.citation.issue2
dc.citation.spage32
dc.contributor.affiliationLviv Polytechnic National University
dc.contributor.affiliationVlokh Institute of Physical Optics, Lviv, Ukraine
dc.contributor.affiliationR&D Enterprise “Electron-Carat”, Lviv, Ukraine
dc.contributor.affiliationJan Długosz University in Częstochowa, Czestochowa, Poland
dc.contributor.authorШпотюк, Михайло
dc.contributor.authorШпотюк, Олег
dc.contributor.authorShpotyuk, Mykhaylo
dc.contributor.authorShpotyuk, Oleh
dc.coverage.placenameЛьвів
dc.coverage.placenameLviv
dc.date.accessioned2023-04-26T08:15:43Z
dc.date.available2023-04-26T08:15:43Z
dc.date.created2021-10-10
dc.date.issued2021-10-10
dc.description.abstractУ статті критично проаналізовано кореляційне співвідношення між температурою розм’якшення Tg і середньою енергією зв’язків E, отримане для халькогенідних стекол в L. Tichý & H. Tichá [J. Non-Cryst. Solids, 189, 1995]. В результаті показано, що його було отримано з використанням неправильних розрахунків середньої енергетичної пов’язаності E через некоректне застосування різних процедур усереднення для різних доданків цього параметра, а тому це співвідношення не можна застосовувати на практиці. Алгоритм обчислення середньої енергетичної пов’язаності скоректовано шляхом усереднення і енергії “сіткової частини матриці” Ec (гетерополярних зв’язків), і енергії зв’язків “залишкової матриці” Erm (енергії гомополярних зв’язків) на один атом формульної одиниці скла, а також врахування неможливості формування ковалентних хімічних зв’язків між катіонами різного виду. На прикладі 145 типових представників ковалентно пов’язаних сіткових халькогенідних стекол (системи типу Ge-As-S/Se) показано, що реальна лінійна кореляція між температурою розм’якшення Tg і їх енергетичною пов’язаністю E може визначатись співвідношенням T @ ×(E - 94.0326 ) g .
dc.description.abstractA correlation ratio between a glass transition temperature Tg and average bond energy E (obtained for chalcogenide glasses in L. Tichý & H. Tichá [J. Non-Cryst. Solids, 189, 1995]) was critically analyzed in this paper. As a result, this ratio was shown to have been obtained using incorrect calculations of the average bond energy E through inappropriate application of different averaging procedures for different terms of this parameter and, therefore, it cannot be used in practice. A mathematical algorithm for calculating the average energy bonding was adjusted by the atomaveraging procedure for the both energy of the “network part of a matrix” Ec (energy of heteropolar bonds) and energy of a “residual matrix” Erm (energy of homopolar bonds), as well as considering the impossibility of forming covalent chemical bonds between cations of different type. It was stated that the linear ratio between the glass transition temperature Tg and energy bonding E can be obtained by the ratio T (E -×@ 94.0326 ) g and this claim was proved for 145 typical representatives of the covalent-bonded network chalcogenide glasses(Ge-As-S/Se-type systems).
dc.format.extent32-37
dc.format.pages6
dc.identifier.citationShpotyuk M. Correlation of the Glass Transition Temperature and Average Energetic Connectivity in Network Chalcogenide Glasses / Mykhaylo Shpotyuk, Oleh Shpotyuk // Computational Problems of Electrical Engineering. — Lviv : Lviv Politechnic Publishing House, 2021. — Vol 11. — No 2. — P. 32–37.
dc.identifier.citationenShpotyuk M., Shpotyuk O. (2021) Correlation of the Glass Transition Temperature and Average Energetic Connectivity in Network Chalcogenide Glasses. Computational Problems of Electrical Engineering (Lviv), vol. 11, no 2, pp. 32-37.
dc.identifier.urihttps://ena.lpnu.ua/handle/ntb/58466
dc.language.isoen
dc.publisherВидавництво Львівської політехніки
dc.publisherLviv Politechnic Publishing House
dc.relation.ispartofComputational Problems of Electrical Engineering, 2 (11), 2021
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dc.relation.referencesen[1] C. A. Angell, et al., "Relaxation in glassforming liquids and amorphous solids", J. Appl. Phys., vol. 88, pp. 3113–3157, 2000.
dc.relation.referencesen[2] D. Cangialosi, "Dynamics and thermodynamics of polymer glasses", J. Phys., Condens. Matter., vol. 26, pp. 153101-1-19, 2014.
dc.relation.referencesen[3] K. Tanaka and K. Shimakawa, Amorphous Chalcogenide Semiconductors and Related Materials, New York-Dordrecht-Heidelberg-London: Springer, 2011.
dc.relation.referencesen[4] A. Feltz, Amorphous Inorganic Materials and Glasses, Weinheim-New York-Basel-Cambridge-Tokyo: VCH Publ., Inc., 1993.
dc.relation.referencesen[5] J-L. Adam and X. Zhang (Eds.), Chalcogenide Glasses: Preparation, Properties and Application, Philadelphia-New Delhi: Woodhead Publ. ser. in Electronic and Optical Mater., 2013.
dc.relation.referencesen[6] J. Bicerano and S.R. Ovshinsky, "Chemical bond approach to the structures of chalcogenide glasses with reversible switching properties", J. Non-Cryst. Solids, vol. 74, pp. 75–84, 1985.
dc.relation.referencesen[7] K. Tanaka, "Glass transition of covalent glasses", Solid State Commun., vol. 54, pp. 867-869, 1985.
dc.relation.referencesen[8] A. Feltz, H. Aust, and A. Blayer, "Glass formation and properties of chalcogenide systems XXVI: permittivity and the structure of glasses AsxSel-xand GexSel-x", J. Non-Cryst. Solids, vol. 55, pp. 179–190, 1983.
dc.relation.referencesen[9] P. Chen, P. Boolchand, and D.G. Georgiev, "Long term aging of selenide glasses: evidence of sub-Tg endotherms and pre-Tg exotherms", J. Phys., Condens. Matter., vol. 22, pp. 065104-1-16, 2010.
dc.relation.referencesen[10] G. Yang, et al., "Correlation between structure and physical properties of chalcogenide glasses in the AsxSe1−x system", Phys. Rev. B, vol. 82, pp. 195206-1-8, 2010.
dc.relation.referencesen[11] M. Shpotyuk, et al., "On the glass transition temperature Tg against molar volume Vm plotting in arsenoselenide glasses", J. Non-Cryst. Solids, vol. 528, pp. 119758-1-6, 2020.
dc.relation.referencesen[12] E. Zhu, et al., "Correlation between thermo-mechanical properties and network structure in GexS100–x chalcogenide glasses", J. Non-Cryst. Solids: X, vol. 1, pp. 100015-1-7, 2019.
dc.relation.referencesen[13] P. Boolchand, X. Feng, and W. J. Bresser, "Rigidity transitions in binary Ge–Se glasses and the intermediate phase", J. Non-Cryst. Solids, vol. 293–295, pp. 348–356, 2001.
dc.relation.referencesen[14] L. Tichý and H. Tichá, "Covalent bond approach to the glass-transition temperature of chalcogenide glasses", J. Non-Cryst. Solids, vol. 189, pp. 141–146, 1995.
dc.relation.referencesen[15] A. V. Nidhi, V. Modgil, and V. S. Rangra, "The effect of compositional variation on physical properties of Te9Se72Ge19-xSbx (x = 8, 9, 10, 11, 12) glassy material", New J. Glass Ceram., vol. 3, pp. 91–98, 2013.
dc.relation.referencesen[16] A. V. Nidhi, V. Modgil, and V. S. Rangra, "Structural characterization of Te9Se72Ge19-xSbx (8£x£12) glass using far-infrared spectra", Chalcogen. Lett., vol. 11, pp. 365–372, 2014.
dc.relation.referencesen[17] J. Lonergan, et al., "Modeling and experimental determination of physical properties of GexGaySe1-x-y chalcogenide glasses I: Structure and mechanical properties", J. Non-Cryst. Solids, vol. 510, pp. 192–199, 2019.
dc.relation.referencesen[18] J. Lonergan, et al., "Modeling and experimental determination of physical properties of GexGaySe1-x-y chalcogenide glasses II: Optical and thermal properties", J. Non-Cryst. Solids, vol. 511, pp. 115–124, 2019.
dc.relation.referencesen[19] N. Chandel, and N. Mehta, "Analysis of physicochemical properties in covalent network chalcogenide glasses (ChGs): critical review of theoretical modeling of chemical bond approach", SN Appl. Sci., vol. 1, pp. 657-1-14, 2019.
dc.relation.referencesen[20] A. I. Isayev, et al., "Structure and optical properties of chalcogenide glassy semiconductors of the AsGe-Se system", Semiconductors, vol. 53, pp. 1500–1506, 2019.
dc.relation.referencesen[21] R. W. Fawcett, C. N.J .Wagner, and G. S. Cargill III, "Radial distribution studies of amorphous GexSe1-x alloy films", J. Non-Cryst. Solids, vol. 8–10, pp. 369–375, 1972.
dc.relation.referencesen[22] G. A. N. Connel, and G. Lucovsky, "Structural models for amorphous semiconductors and insulators", J. Non-Cryst. Solids, vol. 31, pp. 123–155, 1978.
dc.relation.referencesen[23] L. Pauling, The Nature of the Chemical Bond, New York: Cornell Univ. Press, 1960.
dc.relation.referencesen[24] T. Qu, and P. Boolchand, "Shift in elastic phase boundaries due to nanoscale phase separation in network glasses: the case of GexAsxS1-2x", Phil. Mag., vol. 85, pp. 875–884, 2005.
dc.relation.referencesen[25] R. P. Wang, et al., "Raman spectra of GexAsySe1-x-y glasses", J. Appl. Phys., vol. 106, pp. 043520-1-4, 2009.
dc.relation.referencesen[26] Y. Wang, P. Boolchand, and M. Micoulaut, "Glass structure, rigidity transitions and the intermediate phase in Ge-As-Se ternary", Europhys. Lett., vol. 52, no. 6, pp. 633–639, 2000.
dc.relation.referencesen[27] J. Z. Liu, and P. C. Taylor, "The formal valence shell model for structure of amorphous semiconductors", J. Non-Cryst. Solids, vol. 114, pp. 25–30, 1989.
dc.rights.holder© Національний університет „Львівська політехніка“, 2021
dc.subjectchalcogenide glass
dc.subjectglass transition temperature
dc.subjectaverage bond energy
dc.subjectcovalent network
dc.titleCorrelation of the Glass Transition Temperature and Average Energetic Connectivity in Network Chalcogenide Glasses
dc.title.alternativeКореляція температури розм’якшення та середньої енергетичної пов’язаності сіткових халькогенідних стекол
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