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Figure 40-24 shows the energy levels of two types of atoms. Atoms A are in one tube, and atoms B are in another tube. The energies (relative to ground-state energy of zero) are indicated; the average lifetime of atoms in each level is also indicated. All the atoms are initially pumped to levels higher than the levels shown in the figure. The atoms then drop down through the levels, and many become 鈥渟tuck鈥 on certain levels, leading to population inversion and lasing. The light emitted by A illuminates B and can cause stimulated emission of B. What is the energy per photon of that stimulated emission of B?

Short Answer

Expert verified

The energy per photon of that stimulated emission of B is 3eV.

Step by step solution

01

The given data

There are two atoms whose energies and average lifetime at each level are indicated.

02

Understanding the concept of energy of a stimulated emission:

Stimulated emission is a process by which an incoming photon of a certain frequency can interact with an electron atomic electron (or other exciting molecular structure), causing it to plummet.

For stimulated emission to take place, need a long-lived state above a short-lived state in both the atoms. In addition for the light emitted by A to cause stimulated emission of B, energy matching the transition is required. Now, using the figure, get the transition states in both cases. Now, for the case of energy per photon in only B, the energy difference is taken.

03

Calculation of the energy per photon of B:

The above conditions given in the concept are fulfilled for the transition from the 6.9 eV state (lifetime 3 ms) to 3.9 eV state 3渭蝉in A and the transition from 10.8 eV state (lifetime 3 ms) to 7.8 eV state 3渭蝉in B considering the given figure.

Thus, the energy per photon of the stimulated emission of B is given by:

E=10.8-7.8eV=3eV

Hence, the value of the energy per photon for emission of B is 3 eV.

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Most popular questions from this chapter

Figure 40-23 is an energy-level diagram for a fictitious infinite potential well that contains one electron. The number of degenerate states of the levels is indicated: 鈥渘on鈥 means non-degenerate (which includes the ground state of the electron), 鈥渄ouble鈥 means 2 states, and 鈥渢riple鈥 means 3 states. We put a total of 11 electrons in the well. If the electrostatic forces between the electrons can be neglected, what multiple of h2/8mL2gives the energy of the first excited state of the 11 electron system?

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