Some materials have a property that allows them to emit radiation after being heated. Why?
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Thermoluminescence is the property that matter has to re-emit light upon heating. In certain crystals, electrons previously excited by electromagnetic radiation can be trapped in the crystal imperfections. Upon heating at a certain temperature, these traps get emptied because electrons have enough energy to escape. They can interact with parts of the crystal; the energy lost in the process is transferred into light.
The number of electrons trapped depends on the environment the crystal was in and time. Therefore, thermoluminescence can be used for dating.