Energy gap calculation for semi-conductors.

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SUMMARY

The energy gap required for a solar cell material to absorb solar radiation with a wavelength of 1 µm or less is calculated to be approximately 1.24 eV. Silicon, with an energy gap of 1.14 - 1.17 eV, is suitable for this application as it can effectively excite electrons into the conduction band. However, wavelengths shorter than 1000 nm result in higher energy gaps, which may limit silicon's absorption capabilities. To enhance efficiency, modern solar cells often incorporate layers of additional materials to capture a broader spectrum of wavelengths.

PREREQUISITES
  • Understanding of energy gap concepts in semiconductors
  • Familiarity with the equations f = c/lambda and E = hf
  • Knowledge of solar cell materials and their properties
  • Basic principles of photon absorption in semiconductor physics
NEXT STEPS
  • Research the properties of different semiconductor materials for solar cells
  • Learn about multi-junction solar cells and their efficiency advantages
  • Explore the role of photon absorption layers in enhancing solar cell performance
  • Investigate the impact of wavelength on semiconductor energy gaps
USEFUL FOR

Students studying semiconductor physics, solar energy engineers, and researchers focused on improving solar cell efficiency.

NewtonianAlch
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Homework Statement


Most solar radiation has a wavelength of 1 µm or less.

(a) What energy gap should the material in a solar cell have if it is to absorb this radiation?
(b) Is silicon an appropriate solar cell material?

Explain your answer.

Homework Equations



f = c/lambda
E = hf

The Attempt at a Solution



a) f = 3E8/1000E-9 = 3E14 Hz

E = hf

So E ≤ 1.24eV

b) Yes, because silicon has an energy-gap of roughly 1.14 - 1.17eV so 1.24eV is enough to excite the electrons into the conduction band.


----

What I don't fully understand is if the wavelength is below this 1000nm mark, the associated energy gap is going to increase, very quickly certain wavelengths aren't going to be absorbed by silicon for it to act as a semi-conductor. So I'm thinking my answer is wrong?

For e.g. if the wavelength was 700nm, then E = 1.77eV, and silicon and a lot of other semi-conductors wouldn't be able to utilize these kinds of wavelengths.
 
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Nvm, I found out that most solar cells have layers of other material to absorb different wavelengths to be more efficient, so it was correct.
 

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