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Thermal expansion coefficient of a Debye solid

  1. Nov 15, 2012 #1
    1. The problem statement, all variables and given/known data

    A solid's thermal expansion coefficient is defined as

    δ= [itex]\left(\frac{1}{V}\frac{∂V}{∂T}\right)[/itex]

    In the Debye model and at the low-temperature limit, show that δ is a positive quantity and is proportional to [itex]T^{3}[/itex]. At the high-temperature limit, show that δ is still positive but does not depend on temperature anymore.

    2. Relevant equations

    δ= [itex]\left(\frac{1}{V}\frac{∂V}{∂T}\right)[/itex]

    3. The attempt at a solution

    I don't even know how to express volume as a function of temperature!
     
  2. jcsd
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