2.1 ev Group Metastable second 1.67 ev 1.17 ev (1.06 um) 0.50 eV First O ev Ground state Figure 30.65 Neodymium atoms in glass have these energy levels, one of which is metastable. The group of levels above the metastable state is convenient for achieving a population inversion, since photons of many different energies can be absorbed by atoms in the ground state.

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Some of the most powerful lasers are based on the energy levels of                neodymium in solids, such as glass, as shown .
 (a) What average wavelength light can pump the neodymium into the levels above its metastable state? (b) Verify that the 1.17 eV transition produces
1.06 μm radiation.

2.1 ev
Group
Metastable
second
1.67 ev
1.17 ev (1.06 um)
0.50 eV
First
O ev
Ground state
Figure 30.65 Neodymium atoms in glass have these energy levels, one
of which is metastable. The group of levels above the metastable state
is convenient for achieving a population inversion, since photons of
many different energies can be absorbed by atoms in the ground state.
Transcribed Image Text:2.1 ev Group Metastable second 1.67 ev 1.17 ev (1.06 um) 0.50 eV First O ev Ground state Figure 30.65 Neodymium atoms in glass have these energy levels, one of which is metastable. The group of levels above the metastable state is convenient for achieving a population inversion, since photons of many different energies can be absorbed by atoms in the ground state.
Expert Solution
Answer for part (a)

The energy released during the transition between metastable and the ground state can be given as

Physics homework question answer, step 1, image 1

Substituting the values from the energy level diagram gives,

Physics homework question answer, step 1, image 2

Answer for part (a) continues

Now, the required wavelength can be obtained as

Physics homework question answer, step 2, image 1

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