Simulation of Immiscibility Regions in Sodium Borosilicate Glasses

In this paper, sodium borosilicates glasses were prepared by melting in air. These heat-resistant transparent glasses have subjected subsequently isothermal treatments at different times, which have transformed them at opaque glass (milky white color). Such changes indicate that these glasses showed clearly phase separation (immiscibility). The immiscibility region in a sodium borosilicate ternary system was investigated in this work, i.e. to determine the regions from which some compositions can show phase separation. For this we went through the conditions of thermodynamic equilibrium, which were translated later by mathematical equations to find an approximate solution. The latter has been translated in a simulation which was established thereafter to find the immiscibility regions in this type of special glasses.





References:
[1] J.E. Shelby, Introduction to Glass, Science and Technologies. Immiscibility/Phase Separation, The Royal Society of Chemistry, pp. 48-67 (1997).
[2] I.G. Polyakova, Phys. Chem. Glasses. Eur. J. Glass Sci. Technol. Part B, 41, pp. 247-258 (2000).
[3] C.A. Jouenne, Traité de céramique et matériaux minéraux, Paris: Septima, pp. 657 (1990).
[4] T.H. Elmer, M.E. Norderberg, G.B. Carrier and E.J. Korda, J. Am. Ceram. Soc., 53, 171 (1970).
[5] D. Aboutaleb, Study of phase separation on borate and borosilicate glasses, Ph.D. Thesis, Boumerdes University, Algeria, 2010.
[6] D. Aboutaleb. J. Douglad. B. Safi. O. Jbara, A. Iratni. Phase separation and chemical durability in the SiO2-B2O3-Na2O (SBN) glass system, Asian Journal of Chemistry 24 (2) (2012) pp. 473-480.
[7] D. Aboutaleb, A. Iratni, B. Safi; Ostwald ripening phenomena in B2O2-PbO glass system»; Asian journal of chemistry, vol. 22, 3, pp. 1275-1282, (2010).
[8] O.V. Mazurin and E.A. Porai-Koshits, Phase Separation in Glass, Elsevier, North-Holland (1984).
[9] Durand, Solutions numériques des équations algébriques. Tome II. Masson .1972.pp. 96
[10] Pelletier. Techniques numériques appliquées au calcul scientifique. Masson. pp.1971.112
[11] Young. Iterative solution of large linear systems. Académiques Press. 1971. pp. 256
[12] Vignes. Algorithmes numériques. Tome II. Equations et systèmes non linéaires. Technip.1980.pp. 123
[13] Gourdin, A et Boumahrat, M. Méthodes Appliquées- OPU .pp1980.99