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because it is entirely dependent on the medium constitution, and is only quantifiable experimentally.

As current scientific theory does not fully understand how refraction works at a quantum level it is not possible to calculate.

It is related to atomic scattering (coupling and re-emission - 'coherent forward' as well as 'all round'), and resonant frequencies. 'Huygens construction' applies.

It is also a unique property of the relevant kinetic states 'between' media. ('kinetic reverse refraction') Where Snell's Law fails.

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Q: Why is the index of refraction a unique property of a medium?
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