Intensity-wavelength graph for emission spectra; why is frequency in the x-axis?

In summary, the astrophysics book "Astrophysics" by Nigel Ingham includes intensity-wavelength graphs for line spectra, with relative intensity plotted on the y-axis and frequency plotted on the x-axis. To convert this graph to an actual intensity-wavelength graph, one would need to remember how frequency and wavelength are linked. However, the choice of using frequency or wavelength is relatively arbitrary. The speaker prefers frequency because it scales linearly with energy, making it easier to interpret the graph.
  • #1
slakedlime
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2
In my astrophysics book (Astrophysics, Nigel Ingham), there are intensity-wavelength graphs for line spectra (both emission & absorption). On the y-axis, relative intensity is plotted. But on the x-axis, frequency and not wavelength is plotted. Why is this? If I wanted to convert this graph to an actual intensity-wavelength graph (e.g. like one for a black body), what would I have to do?
 
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  • #2
Just remember how frequency and wavelength are linked... The choice is relatively arbitrary.
 
  • #3
I like frequency better. It has the advantage that it scales linearly with energy, so that you know that the rightmost end of the graph corresponds to high energies, and the leftmost end to low energies.

I'm not sure why you seem to think that plots of the Planck function (blackbody radiation) are always in terms of wavelength. The Planck function can be expressed in either form (as a function of either lambda or nu).
 

1. Why is frequency used as the x-axis in an intensity-wavelength graph for emission spectra?

Frequency is used as the x-axis in an intensity-wavelength graph for emission spectra because it is a more precise and direct measurement of the energy of the emitted radiation. The frequency of light is directly proportional to its energy, according to the equation E=hf, where E is energy, h is Planck's constant, and f is frequency. This allows for a more accurate representation of the energy levels of the emitted radiation compared to using wavelength as the x-axis.

2. How are frequency and wavelength related in an intensity-wavelength graph for emission spectra?

Frequency and wavelength are inversely related in an intensity-wavelength graph for emission spectra. This means that as the frequency of the emitted radiation increases, the wavelength decreases, and vice versa. This relationship is known as the wave-particle duality of light, as light exhibits both wave-like and particle-like properties.

3. Why is the intensity of the emitted radiation represented on the y-axis?

The intensity of the emitted radiation is represented on the y-axis because it is a measure of the amount of energy being emitted per unit time. By plotting intensity on the y-axis, we can see the relative strength of the different energy levels of the emitted radiation and compare it to other spectra.

4. How is an intensity-wavelength graph for emission spectra useful in identifying elements?

An intensity-wavelength graph for emission spectra is useful in identifying elements because each element has a unique emission spectrum due to the specific energy levels of its electrons. By comparing the intensity and wavelengths of the spectral lines on the graph to known spectra of elements, we can determine the presence of specific elements in a sample.

5. Can an intensity-wavelength graph for emission spectra be used to determine the temperature of a source?

Yes, an intensity-wavelength graph for emission spectra can be used to determine the temperature of a source. This is because the intensity of the emitted radiation is directly related to the temperature of the source, according to the Stefan-Boltzmann law. The hotter the source, the higher the intensity of the emitted radiation, which can be seen on the y-axis of the graph. By analyzing the intensity of the spectral lines, we can estimate the temperature of the source.

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