Consider a semiconductor with a bandgap of 1.42 eV with a uniform electric field of 1 × 106 V/m pointing along the positive x-axis. Draw the CB and VB as a function of position along the x-axis. Assume that the length of this isolated piece of semiconductor in the x- direction is 10 μm. An electron is placed at the center of this semiconductor with no KE (KE = 0) at time t = 0. If the electron does not either gain or lose total energy, plot the x-location of this electron with time. What is the maximum KE that this electron can have at any time? In the plot of the CB and VB, indicate the location of the electron when the KE is maximum. Neglect gravitational potential energy.

Chemistry for Engineering Students
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Chapter8: Molecules And Materials
Section: Chapter Questions
Problem 8.97PAE: 8.97 The doping of semiconductors can be done with enough precision to tune the size of the band gap...
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Consider a semiconductor with a bandgap of 1.42 eV with a uniform electric field of
1 × 106 V/m pointing along the positive x-axis. Draw the CB and VB as a function of position
along the x-axis. Assume that the length of this isolated piece of semiconductor in the x-
direction is 10 μm. An electron is placed at the center of this semiconductor with no KE (KE =
0) at time t = 0. If the electron does not either gain or lose total energy, plot the x-location of
this electron with time. What is the maximum KE that this electron can have at any time? In
the plot of the CB and VB, indicate the location of the electron when the KE is maximum.
Neglect gravitational potential energy.
Transcribed Image Text:Consider a semiconductor with a bandgap of 1.42 eV with a uniform electric field of 1 × 106 V/m pointing along the positive x-axis. Draw the CB and VB as a function of position along the x-axis. Assume that the length of this isolated piece of semiconductor in the x- direction is 10 μm. An electron is placed at the center of this semiconductor with no KE (KE = 0) at time t = 0. If the electron does not either gain or lose total energy, plot the x-location of this electron with time. What is the maximum KE that this electron can have at any time? In the plot of the CB and VB, indicate the location of the electron when the KE is maximum. Neglect gravitational potential energy.
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