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3.2 The Kronig-Penney model solution presented in Subsection 3.22 is somewhat unconventional. To indicate why a nonstandard solution approach was presented (and, more generally, to coerce • CHAPTER 3...

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3.2 The Kronig-Penney model solution presented in Subsection 3.22 is somewhat unconventional. To indicate why a nonstandard solution approach was presented (and, more generally, to coerce
• CHAPTER 3 ENERGY BAND THEORY
the reader into examining the Kronig-Penney model solution), let us review the usual textbook approach. (You may wish to consult reference [4], pp XXXXXXXXXX, to check your answers.) (a) From the Bloch theorem we know
dr(x) • ihu(x)
where u(x) is the unit cell wavefunction. Substitute the above expression for *(x) into Schr6dingef s equation and obtain the simplest possible differential equation for u4x) (u(x) for 0
Answered Same Day Dec 26, 2021

Solution

David answered on Dec 26 2021
99 Votes
Solution:
The wave functions associated with this model may be calculated in the one-electron approximation by
solving Schrodinger's equation.
Solution:
a) It is 1.42 eV. The Band gap between maxima and minima is the Eo value.
) The Minima of conduction band is at same location of maxima...
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