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=====Common Phenomena in Periodic Systems (10 minutes)=====
  * This course focuses on studying the phenomena that occur in periodic systems.  In particular, we will discuss three observable events in depth.
    - //**Sound waves in a crystal.**//
      * Specifically, this event results from the mechanical displacement of atoms in the crystal from equilibrium.
      * Calculation one might do: Finding the speed of sound in a solid.  

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    - //** Light waves in opal and photonic crystals.**//
      * Calculation one might do: Finding the first allowed wavelength of propagation in a crystal.

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    - //** Electron waves in an atomic crystal.**//
      * Calculation one might do: Investigating how a semiconductor gets its band gap.

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