Why can mixtures of calcium oxide and aluminum oxide form glass more easily than either pure material?

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In the binary system of calcium oxide (CaO) and aluminum oxide (Al₂O₃), neither pure material readily forms a glass on its own. However, mixtures of these two oxides form glass much more easily because the freezing point of the system exhibits a deep minimum near the middle of the composition range.1

In physics, the tendency of a liquid to form an amorphous solid depends on its ability to be cooled from its freezing temperature (Tf) to the glass transition temperature (Tg) without crystallizing. When a system has a lower freezing point, the temperature interval during which the liquid is at risk of crystallization is significantly reduced, making it much easier to quench the liquid into a glass phase. This phenomenon is a common characteristic in many binary systems, and it is a primary reason why many practical oxide glasses are composed of complex chemical mixtures rather than pure substances.1