Bandgap Energy and refractive index

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SUMMARY

The discussion centers on the relationship between bandgap energy (Eg) and refractive index (n) in semiconductor materials. It is established that higher bandgap energy corresponds to lower wavelength (lamda_g) based on the equation Eg=hc/lamda_g. However, the participant concludes that this does not directly correlate with refractive index, as the equations provided do not establish a definitive relationship between Eg and n. The complexity of this relationship is highlighted, referencing a paper that delves deeper into the topic.

PREREQUISITES
  • Understanding of bandgap energy (Eg) in semiconductors
  • Familiarity with the equations Eg=hc/lamda_g and lamda=lamda_0/n
  • Knowledge of refractive index (n) and its significance in optics
  • Basic principles of light behavior in materials
NEXT STEPS
  • Research the relationship between bandgap energy and refractive index in semiconductors
  • Study the implications of wavelength (lamda_g) on optical properties
  • Examine advanced materials science literature on Eg and n correlations
  • Explore the referenced paper for detailed analysis: "https://web.njit.edu/~sirenko/PapersNJIT/Ravi_IPT_2007.pdf"
USEFUL FOR

Materials scientists, optical engineers, and researchers in semiconductor physics seeking to understand the complexities of bandgap energy and refractive index relationships.

Martel_lu
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The statement that the higher the bandgap energy Eg, the lower the refractive index of material is confusing me.

If I start from two equations.
Eq1: Eg=hc/lamda_g
Eq2: lamda=lamda_0/n

Higher Eg means lower lamda_g. It means in order to have the light in semiconductor material with wavelength of lamda_g, we have to increase n.
That comes out the conclusion that higher Eg, Higher n.

I don't know where is the logic wrong.
 
Neither equation relates the band gap to the refractive index. So, the logic ypu are seeking cannot be found from these equations alone.
A quick google search resulted in finding this paper that shows how complicated this relationship is: https://web.njit.edu/~sirenko/PapersNJIT/Ravi_IPT_2007.pdf.
 

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