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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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