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Diamond shine more than glass piece of the same shape.It is due to the refractive index of both the medium that is R.I of diamond is more than that of glass . Hence critical angle of glass is more than that of diamond causing more total internal reflection in diamond/making it shine.
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Diamonds get their brilliance from three things: reflection, refraction and dispersion. ... Only a portion of the light hitting a diamond is reflected; the rest travels through it. As the light moves through the diamond, it is scattered and fractured, creating the sparkle that diamonds are known for
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