3.20 The energy-band diagram for silicon is shown in Figure 3.25b. The minimum energy in the conduction band is in the [100] direction. The energy in this one-dimensional direction near the minimum value can be approximated by
\[
E=E_{0}-E_{1} \cos \alpha\left(k-k_{0}\right)
\]
where \( k_{0} \) is the value of \( k \) at the minimum energy. Determine the effective mass of the particle at \( k=k_{0} \) in terms of the equation parameters.