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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

As Fig. 39-8 suggests, the probability density for the region

0 < x < L for the finite potential well of Fig. 39-7 is sinusoidal, being given by

蠄2(x)=Bsin2kx , in which B is a constant. (a) Show that the wave function 蠄(x)

may be found from this equation is a solution of Schrodinger鈥檚 equation in its one-dimensional form. (b) Express an equation for that makes this true.

An electron, trapped in a one-dimensional infinite potential well 250 pm wide, is in its ground state. How much energy must it absorb if it is to jump up to the state with n=4?

For the hydrogen atom in its ground state, calculate (a) the probability density 蠄2(r)and (b) the radial probability density P(r) for r = a, where a is the Bohr radius.

In the ground state of the hydrogen atom, the electron has a total energy of -13.06 eV. What are (a) its kinetic energy and (b) its potential energy if the electron is one Bohr radius from the central nucleus?

Three electrons are trapped in three different one-dimensional infinite potential wells of widths (a) 50pm (b)200pm, and (c)100pm . Rank the electrons according to their ground-state energies, greatest first.
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