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Related Experiment Video

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A Simple Approach to Perform TEER Measurements Using a Self-Made Volt-Amperemeter with Programmable Output Frequency
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Was Pauling Mistaken about Metals?

Andreas Savin1

  • 1Laboratoire de Chimie Théorique, CNRS and Sorbonne University, 4 Place Jussieu, CEDEX 05, 75252 Paris, France.

Molecules (Basel, Switzerland)
|April 3, 2021
PubMed
Summary

Linus Pauling

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Area of Science:

  • Solid-state physics
  • Quantum mechanics
  • Materials science

Background:

  • Linus Pauling described metallic bonds using resonance theory.
  • The Kronig-Penney model is a theoretical model used to understand electron behavior in solids.

Purpose of the Study:

  • To visualize Linus Pauling's resonance theory of metallic bonds using the Kronig-Penney model.
  • To explore electron localization and delocalization in a one-dimensional potential barrier system.

Main Methods:

  • Utilized the Kronig-Penney model to simulate electron behavior.
  • Analyzed maximum probability domains of electron pairs under varying barrier conditions (opaque vs. transparent walls).

Main Results:

  • When barrier walls are opaque (large band gap), electron pairs are localized between walls.
  • When barrier walls become transparent (band gap closes), electron pairs delocalize and move freely through the system.

Conclusions:

  • The Kronig-Penney model visually represents Pauling's concept of electron delocalization in metallic bonding.
  • Electron behavior transitions from localized to delocalized as the band gap diminishes, illustrating a key aspect of metallic bonding.
Keywords:
Kronig–Penney modelmaximum probability domainsmetallic bondresonant structures

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