Free Electron Theory in Solid State Physics
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Questions and Answers

According to the free electron theory, a metal consists of electrons that are free to move in the crystal like:

  • Particles in a vacuum
  • Ions in a solution
  • Atoms in a liquid state
  • Molecules of a gas in a container (correct)
  • What are valence electrons associated with?

  • An atom's nucleus
  • An atom's innermost shell
  • An atom's protons
  • An atom's outer shell (correct)
  • In the free electron theory, what do metal crystals contain besides free electrons?

  • Neutrons
  • Negative ions
  • Positive ions (correct)
  • Protons
  • According to the postulates of the free electron theory, how do free electrons move in a metal?

    <p>In random directions and make collisions with positive ions and other free electrons</p> Signup and view all the answers

    What type of collisions do free electrons make according to the free electron theory?

    <p>Elastic collisions with no loss of energy</p> Signup and view all the answers

    What is a valence electron?

    <p>An outer shell electron associated with an atom</p> Signup and view all the answers

    How do free electrons move in a metal according to the free electron theory?

    <p>In random directions and make collisions with either positive ions fixed in the lattice or other free electrons</p> Signup and view all the answers

    What do metal crystals contain besides free electrons according to the free electron theory?

    <p>Positive ions and free electrons (valence electrons)</p> Signup and view all the answers

    What is the movement of free electrons in a metal governed by according to the free electron theory?

    <p>The laws of the classical kinetic theory of gas</p> Signup and view all the answers

    What are the rest of the electrons in a metal crystal known as, besides valence electrons?

    <p>Core electrons</p> Signup and view all the answers

    Study Notes

    Free Electron Theory of Metals

    • Free Electron Model: Metals are regarded as lattices of positive ions with a "sea" of delocalized, free electrons, allowing movement throughout the crystal structure.
    • Valence Electrons: These are the electrons in the outermost shell of an atom, responsible for chemical bonding and electrical conductivity in metals.
    • Metal Crystals Composition: Besides free electrons, metal crystals consist of fixed positive ions in a regular arrangement, giving structure to the metal.

    Movement of Free Electrons

    • Electron Movement: Free electrons move randomly and can travel through the metal lattice, contributing to conductivity.
    • Collisions: During their movement, free electrons collide with lattice ions and other electrons, which affects the conduction properties.
    • Governing Factors: The behavior of free electrons is influenced by temperature, frequency of collisions, and the density of the metal.

    Electron Types in Metal Crystals

    • Valence and Core Electrons: In addition to valence electrons, the remaining electrons in a metal crystal are known as core electrons, occupying inner shells and not participating in conduction.

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    Description

    Test your knowledge of the free electron theory, proposed by Drude & Lorentz in 1900, to explain the electrical and thermal conductivity of solid materials. Learn about the behavior of valence electrons in metals and their resemblance to molecules in a gas.

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