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Fermi Energy

2023 JUN 9

Preliminary   > Science and Technology   >   Miscellaneous   >   Miscellaneous

Why in news?

  • Recently, Fermi energy has gained significant attention due to its wide range of daily practical applications in various fields, driven by the principles of quantum physics.

What is Quantum Physics?

  • Quantum physics is the branch of physics that deals with the behavior and properties of the smallest particles of matter and energy, such as atoms, electrons, photons, and quarks.
  • Quantum physics reveals that these particles can behave in strange and surprising ways, such as being in two places at once (superimposition), tunneling through barriers, or entanglement with each other over long distances.
  • Quantum physics also explains how atoms and molecules form the basis of all matter and how light and other electromagnetic waves are produced and interact with matter.
  • Quantum physics impacts daily life through electronics, computing, lasers, and optics. It enables technologies like MRI for medical imaging and improves renewable energy systems.

 About Fermi Energy:

  • Fermi energy is the energy of the highest occupied state of electrons in a material at absolute zero temperature (-273º C or 0K).
  • Fermi energy determines electron velocity in conduction, as only electrons with energies close to the Fermi energy can participate in the conduction process.
  • Metals, such as copper, aluminum, and silver, exhibit high Fermi energies, even at extremely low temperatures.
  • The Fermi energy and fermionic behavior of electrons, governed by quantum mechanics, are responsible for various properties of metals, including their reflectivity, electrical conductivity, and thermal conductivity.
  • Fermi energy is measured by Fermi level.
  • Understanding Fermi energy is essential for comprehending the fundamental behaviors and applications of metals in our daily lives.

Add ons:

  • Fermi energy reveals the wave nature and discrete energy levels of electrons in matter.
  • Fermi energy determines various physical properties of materials, including electrical and thermal conductivity, heat capacity, magnetism, and superconductivity.
  • Fermi energy is relevant in natural phenomena and technological applications like stars, nuclear reactions, lasers, transistors, and solar cells.

PRACTICE QUESTION:

Consider the following statements:

Statement – I : Fermi energy is the energy of the highest occupied state of electrons in a material at absolute zero temperature

Statement – II: Metals such as copper, aluminum and silver, exhibit high Fermi energies

Which one of the following is correct in respect of the above statements?

(a) Both Statement I and Statement II are correct and Statement II is the correct explanation for Statement I

(b) Both Statement I and Statement II are correct and Statement II is not the correct explanation for Statement I

(c) Statement I is correct but Statement II is incorrect

(d) Statement I is incorrect but Statement II is correct.

Answer