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Condensed matter - Is quantum effects relevant.

  1. Oct 21, 2012 #1
    a) Are quantum effects relevant for the air around us?

    "Formulas":
    The Fermi energy of athmosperic air:
    [itex] \epsilon_F = \dfrac{\hbar^2}{2m_{air}}(3\pi^2C)^{2/3}[/itex]

    Attempt to solve:
    I calculated the fermi energy to : [itex] \epsilon_F = 1\times 10^{-25}\,\text{J}[/itex]
    And [itex] k_bT = k_b 293\,\text{K} = 4\times 10^{-21}\,\text{J}[/itex]
    The fermi energy is orders of magnutide smaller than kbT, and thus the quantum effects are not relevant.

    Question:
    What is the physical meaning of the term [itex] k_bT[/itex]
     
  2. jcsd
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