(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Tha band structure of a simple cubic lattice is given by,

[itex]E = E_{0}-A(\cos k_{x}a+\cos k_{y}a+\cos k_{z}a)[/itex]

where a is the lattice constant and A is a positive constant.

Find the effective mass for the electron at the values of k corresponding to the top and bottom of the band.

2. Relevant equations

[itex]m^{\ast }=\frac{\hbar ^{2}}{\left( \frac{d^{2}E}{dk^{2}}\right) }[/itex]

3. The attempt at a solution

The components k_{x},k_{y},k_{z}and the condition 'top and bottom of the band' are confusing me.

Is these top and bottom correspond to brollouin zone edges?

How can i put these components of k in above equation?

Thanks.

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# Homework Help: Solid state physics-effective mass problem.

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