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Effective mass question

  1. Feb 25, 2007 #1
    1. The problem statement, all variables and given/known data

    Calculate the effective mass for a free electron.

    2. Relevant equations

    [​IMG]

    3. The attempt at a solution

    I know the above equation comes from, in the case of the free electron dispersion relation, [​IMG].

    However i'm not at all sure how to go about calculating it for a free electron, given that the two formulae are basically one in the same...
     
  2. jcsd
  3. Feb 25, 2007 #2

    Gokul43201

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    Note the following minor correction: the free electron dispersion relation is [itex] \epsilon = \hbar ^2 k^2 /2m_e [/itex]. What happens when you plug this into the expression for the effective mass?
     
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