Astronomers observe spectra of planetary nebulae to learn about the stars that created them, and to understand how planetary nebulae contribute to the chemical enrichment of the Milky Way Galaxy over time. In order to determine the chemical abundances in nebulae, astronomers need to know the temperature of the gas and its density. Sulfur emission lines are useful for determining density in planetary nebulae. Certain electron transitions involve energy levels that are said to be metastable; the resulting emission lines are called "forbidden" lines, which really only means that they are less likely to occur than emission lines from the ordinary kind of transitions. lons and electrons in a planetary nebula are always moving and bumping into each other. The energy exchanged in these collisions isn't enough to strip off electrons, but it is enough to kick an electron to a higher energy level within the ground state. In fact, the only way that these higher levels can be populated is by collisions; their forbidden nature makes it extremely unlikely for an upward transition to be produced by an absorbed photon. In order to return to ground state, a photon must be released. One such wavelengths of interest is 673.1 nm (in the very red part of the visible spectrum). The λ 673.1 nm line strengthens as the nebulae gas density increases because such collisions also increase with density. 1. What is the frequency of that line? 2. What is the energy of that line? 3. Is a transition that takes place in the microwave region of the EM spectrum, which is capable of cooking food, higher or lower energy than the previously mentioned electron transition in S?

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Chapter12: Chemical Bonding
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Astronomers observe spectra of planetary nebulae to learn about the stars that created
them, and to understand how planetary nebulae contribute to the chemical enrichment
of the Milky Way Galaxy over time. In order to determine the chemical abundances in
nebulae, astronomers need to know the temperature of the gas and its density. Sulfur
emission lines are useful for determining density in planetary nebulae.
Certain electron transitions involve energy levels that are said to be metastable; the
resulting emission lines are called "forbidden" lines, which really only means that they
are less likely to occur than emission lines from the ordinary kind of transitions.
lons and electrons in a planetary nebula are always moving and bumping into each
other. The energy exchanged in these collisions isn't enough to strip off electrons, but it
is enough to kick an electron to a higher energy level within the ground state. In fact,
the only way that these higher levels can be populated is by collisions; their forbidden
nature makes it extremely unlikely for an upward transition to be produced by an
absorbed photon. In order to return to ground state, a photon must be released. One
such wavelengths of interest is 673.1 nm (in the very red part of the visible spectrum).
The λ 673.1 nm line strengthens as the nebulae gas density increases because such
collisions also increase with density.
1. What is the frequency of that line?
2. What is the energy of that line?
3. Is a transition that takes place in the microwave region of the EM spectrum, which is
capable of cooking food, higher or lower energy than the previously mentioned electron
transition in S?
Transcribed Image Text:Astronomers observe spectra of planetary nebulae to learn about the stars that created them, and to understand how planetary nebulae contribute to the chemical enrichment of the Milky Way Galaxy over time. In order to determine the chemical abundances in nebulae, astronomers need to know the temperature of the gas and its density. Sulfur emission lines are useful for determining density in planetary nebulae. Certain electron transitions involve energy levels that are said to be metastable; the resulting emission lines are called "forbidden" lines, which really only means that they are less likely to occur than emission lines from the ordinary kind of transitions. lons and electrons in a planetary nebula are always moving and bumping into each other. The energy exchanged in these collisions isn't enough to strip off electrons, but it is enough to kick an electron to a higher energy level within the ground state. In fact, the only way that these higher levels can be populated is by collisions; their forbidden nature makes it extremely unlikely for an upward transition to be produced by an absorbed photon. In order to return to ground state, a photon must be released. One such wavelengths of interest is 673.1 nm (in the very red part of the visible spectrum). The λ 673.1 nm line strengthens as the nebulae gas density increases because such collisions also increase with density. 1. What is the frequency of that line? 2. What is the energy of that line? 3. Is a transition that takes place in the microwave region of the EM spectrum, which is capable of cooking food, higher or lower energy than the previously mentioned electron transition in S?
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