In Figure 10.24, the band n = 1 ends at k=4πL, while in Figure 10.27 it ends atπa. Are these compatible? If so, how?

Short Answer

Expert verified

It is proved that two ends are compatible.

Step by step solution

01

Determine the formulas

Consider the width of the well in terms of the atomic space as:

L=4a

02

Determine if the two ends are compatible

Substitute the values in the formula for the k and solve as:

k=4πLk=4π4ak=πa

Therefore, it is proved that two ends are compatible.

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