Question

why do diamond glitter?

Answer 1

The sparkling isn't just the high refractive index - the shape matters too. Diamonds are cut so that a light ray falling on the diamond is reflected multiple times inside the diamond and therefore sends light out in all directions. Actually, diamonds don't shine, they reflect.

Answer 2

As diamond has a special structure due to which when light enters diamond it undergoes multiple reflection. Also, its refractive index is 2.4.

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