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Chapter 39: Q18P (page 1215)

Figure 39-9 gives the energy levels for an electron trapped in a finite potential energy well 450 eV deep. If the electron is in the n = 3 state, what is its kinetic energy?

Short Answer

Expert verified

The kinetic energy is K = 233eV.

Step by step solution

01

Introduction:

Electron trapping is a well-recognized issue in organic semiconductors, in particular in conjugated polymers, leading to a significant electron mobility reduction in materials with electron affinities smaller than .

02

Determine the energy levels for an electron trapped:

Electron in a finite potential well: it is the one in which the potential energy of an electron outside the well in not infinitely great but has a finite positive value called well depth.

03

Determine the kinetic energy:

From the figure, it is clear that the sum of potential and kinetic energies in the given finite well in the n = 3 state is 233 eV as the potential is zero in the region of , you can conclude that, the kinetic energy is K = 233 eV .

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Most popular questions from this chapter

An old model of a hydrogen atom has the chargeof the proton uniformly distributed over a sphere of radiusa0, with the electron of charge -eand massat its center.

  1. What would then be the force on the electron if it were displaced from the center by a distancer≤a0?
  2. What would be the angular frequency of oscillation of the electron about the center of the atom once the electron was released?

What is the probability that in the ground state of hydrogen atom , the electron will be found at a radius greater than the Bohr radius?

particle is confined to the one-dimensional infinite potential well of Fig. 39-2. If the particle is in its ground state, what is its probability of detection between (a) x=0 and x=0.25 L, (b) x=0.75 L and x=L, and

(c) x=0.25 L and x=0.75 L?

A neutron with a kinetic energy of 6.0 eV collides with a stationary hydrogen atom in its ground state. Explain why the collision must be elastic—that is, why kinetic energy must be conserved. (Hint: Show that the hydrogen atom cannot be excited as a result of the collision.)

An electron is trapped in a one-dimensional infinite well of width250pm and is in its ground state. What are the (a) longest, (b) second longest, and (c) third longest wavelengths of light that can excite the electron from the ground state via a, single photon absorption?
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