Topological model of alkali germanate glasses and exploration of the germanate anomaly

Abstract

This is the author manuscript accepted for publication and has undergone full peer review but has not been through the copyediting, typesetting, pagination and proofreading process, which may lead to differences between this version and the Version of Record. Please cite this article as

Topological hardening through oxygen triclusters in calcium aluminosilicate glasses

“…[24][25][26][27][28] It can also provide insights into glass systems that are otherwise difficult to study spectroscopically. 29 In general, it uses topological information to determine the average number of rigid constraints surrounding each structural unit. This, in turn, can provide detailed information about how each constraint contributes to underlying properties of the glass.…”

“…The prepregged fabric was next cut has been employed in previous works. 29,31,33 Taking the summation of all linear and angular constraints along with their corresponding temperature dependence gives the average number of constraints per atom (n c ). It is then possible to predict the glass transition temperature (T g ) by relating this summation to the degrees of freedom, f, and the dimensionality of the network, d = 3, with Variables with a subscript r refer to a reference value, and n c [T g ] is the average number of constraints per atom that are rigid at T g .…”

“…Studies o derived SiC ceramic 25 and SiC/SiC c shown that porosity decreases and mecha prove with the increasing number of PIP show that increasing pyrolysis temperatu tration of SiC fillers in polycarbosilane improved mechanical properties in two-d SiC (C/SiC) composites fabricated using Starting with pyrolysis of a "cured prepreg-based composite, each processin process involves infiltration of a precera porous ceramic preform followed by a py which the polymer is converted into ceram cess modeling is focused on these two ste Modeling of infiltration of liquids in well-studied subject, especially in the where it is used to model seepage of wa soils and rocks. 29,30 The physics of resin under pressure is similar to the seepage pr lar approaches have been used also to mod into a mold containing fiber mats. 23,[31][32][33][34][35][36][37][38] T in these cases to determine the resin flow ing times corresponding to different infilt Preceramic polycarbosilane polymers as precursors to make ceramic fibers 10,3 trix.…”

“…Modeling of infiltration of liquids in porous media is a well-studied subject, especially in the field of hydrology where it is used to model seepage of water through porous soils and rocks. 29,30 The physics of resin flow into a mold under pressure is similar to the seepage problem and so similar approaches have been used also to model the flow of resin into a mold containing fiber mats. 23,[31][32][33][34][35][36][37][38] The models are used in these cases to determine the resin flow front and mold filling times corresponding to different infiltration conditions.…”

Coarse‐grained model of the glass transition in network‐forming oxides

“…As something of a “second” germanate anomaly, this feature was originally identified 13,15 50 years ago and yet remains an unsolved mystery. Even recent efforts 16 to model the of these alkali germanates using a temperature‐dependent constraint theory fail to capture this anomalous feature (see Figure 1D). In this paper we propose a simple resolution to this T g dip anomaly by considering a radically different, coarse‐grained measure of the bond density 17‐19 .…”