What happens to molecular rearrangement below the glass transition temperature?

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When the temperature of an amorphous solid falls below the glass transition temperature (Tg), the response time required for molecular rearrangement becomes significantly longer than experimentally accessible time scales.1

As a result, liquidlike mobility disappears, and the atomic configuration becomes effectively "frozen" into a set of fixed positions. While atoms continue to oscillate about these fixed points, the material transitions from an undercooled liquid into a bona fide solid, characterized by properties such as elastic stiffness against shear.1