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Nyfinscyf

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## Homework Statement

Nobel prize for physics for blue laser diode using Gallium Nitride with band gap of 3.4 eV and a refractive index of 2.429.

Explain how these parameters determine at what wavelength a Gallium Nitride semiconductor will laser at.

## Homework Equations

[itex] E=\frac{hc}{\lambda} [/itex]

Blue wavelength ## \approx 445 nm ##

## The Attempt at a Solution

This equation will give the energy band gap wavelength. But how does the refractive index factor into this? I know it changes the velocity that the light moves through the medium.

I found this article: https://www.quora.com/Whats-the-relation-between-bandgap-the-extinction-coefficient-and-the-index-of-refraction

But I'm still not sure how to answer the question.

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