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Effective mass question

  • Thread starter raintrek
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  • #1
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Homework Statement



Calculate the effective mass for a free electron.

Homework Equations



44fe609850705ab89d76fc0714b65a4c.png


The Attempt at a Solution



I know the above equation comes from, in the case of the free electron dispersion relation,
1632e523513112a5ba15209fd3e8de9b.png
.

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...
 

Answers and Replies

  • #2
Gokul43201
Staff Emeritus
Science Advisor
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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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