Semiconductors: Light Absorption and Electron-Hole Pairs

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Questions and Answers

In a semiconductor material, what happens to photons with energy less than the bandgap energy?

  • They are completely absorbed, generating heat.
  • They cause significant structural changes in the semiconductor's crystal lattice.
  • They pass through the material with little interaction. (correct)
  • They interact strongly with the semiconductor, creating many electron-hole pairs.

When photons with energy greater than the bandgap energy interact with a semiconductor, what is the primary effect?

  • Creating electron-hole pairs by breaking covalent bonds. (correct)
  • Increasing the material's bandgap energy.
  • Heating the semiconductor material evenly.
  • Reflecting off the surface of the semiconductor.

How does the absorption depth of higher energy photons compare to that of lower energy photons in a semiconductor material?

  • Higher energy photons penetrate deeper into the material.
  • Energy level has no effect on the depth.
  • Lower energy photons are absorbed closer to the surface.
  • Higher energy photons are absorbed closer to the surface. (correct)

What does the generation rate (G) in the equation $G = \alpha Ne^{-\alpha x}$ represent in the context of semiconductor physics?

<p>The rate of electron-hole pair generation per unit volume. (A)</p> Signup and view all the answers

How is the photon flux (N) defined in the context of the equation for the electron-hole pair generation rate?

<p>The number of photons per unit area per second. (D)</p> Signup and view all the answers

What is the significance of the absorption coefficient ($\alpha$) in the context of light absorption in semiconductors?

<p>It describes how effectively a material absorbs photons of a specific energy. (B)</p> Signup and view all the answers

In the equation $G = \alpha Ne^{-\alpha x}$, what does 'x' represent?

<p>The distance from the surface into the semiconductor. (C)</p> Signup and view all the answers

After light is switched off, what generally happens to the electron-hole pairs in a semiconductor?

<p>They disappear as the system returns to equilibrium, often through recombination. (A)</p> Signup and view all the answers

What role do defects or impurities play in the recombination process within a semiconductor?

<p>They can act as recombination centers, accelerating the process. (C)</p> Signup and view all the answers

What is defined as the average time for recombination to occur after electron-hole generation?

<p>Carrier lifetime. (C)</p> Signup and view all the answers

What does the 'carrier diffusion length' represent in a semiconductor material?

<p>The average distance a carrier moves from its point of generation until it recombines. (C)</p> Signup and view all the answers

What is the typical carrier lifetime for silicon?

<p>1 µs (B)</p> Signup and view all the answers

Which factor fundamentally enables a semiconductor to produce electrical power?

<p>Giving directionality to the moving electrons. (A)</p> Signup and view all the answers

How are functional solar cells typically produced from semiconductor materials?

<p>By adding a rectifying p-n junction. (D)</p> Signup and view all the answers

How do carrier lifetime and carrier diffusion length parameters serve as indicators?

<p>Material quality and suitability for solar cell use. (B)</p> Signup and view all the answers

Flashcards

Absorption of Light in Semiconductors

Light striking a semiconductor material can cause photons to interact with electrons.

Low-Energy Photon Interaction

Photons with energy less than the bandgap energy interact weakly and pass through the material.

High-Energy Photon Interaction

Photons with energy greater than the bandgap energy interact with electrons, breaking covalent bonds and creating electron-hole pairs.

Generation Rate (G)

The rate at which electron-hole pairs are generated per unit volume.

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Photon Flux (N)

N represents the number of photons hitting a specific area per second.

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Absorption Coefficient (α)

α represents how well a material absorbs light at a specific wavelength.

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Distance from Surface (x)

x represents the distance from the surface of the material.

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Absorption Depth vs. Energy

Higher energy photons are absorbed closer to the surface of the semiconductor.

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Recombination After Light Removal

After light is switched off, the system returns to equilibrium where generated electron-hole pairs disappear as electrons and holes wander around, then recombine, often at defects or impurities.

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Carrier Lifetime

Average time for recombination to occur after electron-hole generation.

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Carrier Diffusion Length

Average distance a carrier moves from the point of generation until it recombines.

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Directionality Requirement

Solar cells require a means of giving directionality to the moving electrons to produce power from a semiconductor

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Functional Solar Cells

Functional solar cells need semiconductor material with a rectifying p-n junction

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Study Notes

Absorption of Light

  • Light interacts with semiconductor materials when it falls onto them.
  • Photons with energy (Eph) less than the bandgap energy (Eg) interact weakly with the material and pass through it.
  • Photons with energy greater than the bandgap energy (Eph > Eg) interact with electrons in covalent bonds.
  • These photons expend their energy to break bonds and create electron-hole pairs, which then diffuse independently.
  • Higher energy photons are absorbed closer to the surface of the semiconductor, compared to lower energy photons.

Generation Rate of Electron-Hole Pairs

  • The generation rate (G) of electron-hole (e-h) pairs per unit volume can be calculated using the formula: G= αNe-αx
  • N = photon flux (photons per unit area per second)
  • α= absorption coefficient
  • x = distance from the surface

Photon Flux Example

  • Problem: Find the photon flux of a crystal with the absorption coefficient of 103 cm-1.
  • The distance from the surface to the back is 0.2 cm, and the generation per unit volume is 400 cm3 per second.
  • Solution: N = 2.89 x 10^86 / cm^2 s

Absorption Coefficient

  • The absorption coefficient, α, of silicon depends on the vacuum wavelength of light at a certain temperature (300 K).

Light Switch Off

  • When light is switched off, the system returns to a state of equilibrium, and the generated electron-hole pairs disappear.
  • Electrons and holes wander around and eventually meet and recombine.
  • Defects or impurities within or at the surface of the semiconductor material result in recombination.

Carrier Lifetime and Diffusion Length

  • Carrier lifetime is the average duration before recombination happens post electron-hole generation.
  • For silicon, the typical carrier lifetime is 1 µs.
  • Carrier diffusion length is the average distance a carrier travels from its generation point until recombination.
  • For silicon, the typical carrier diffusion length is 100–300 µm.
  • Material quality and solar cell suitability can be determined using these two parameters.
  • Directionality must be applied to the moving electrons for a semiconductor to produce any power.
  • Functional solar cells are generally made from semiconductor material by adding a rectifying p-n junction.

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