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Homework Help: Variation in effective energy gap?

  1. Oct 21, 2013 #1

    I've worked out that for the particle-in-a-box model (square well) the energy E

    E = 3h^2/8mL^2

    where m is the effective mass of the electron.

    The next question asks

    Hence derive an expression for the variation of the effective energy gap in the quantum dot as a function of its size for a semiconductor material that has a bulk energy gap Eg and electron and hole effective masses of m and m_h.

    I haven't studied semiconductor physics in detail so I don't know how to proceed. Thanks for your input.
  2. jcsd
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