Plot Bremsstrahlung Energy Spectra - Formula & Tips

[ne_237]

Hi all
How can I plot bremsstrahlung energy spectra?What is the formula for this topic?
Pleas help me!
thanks a lot.

 

[JeffKoch]

Plot what vs. what? There are lots of things you could plot - total integrated power, spectrally resolved power, atomic number, energy, wavelength, temperature...

 

[daveb]

The exact shape of the spectrum as well as the intensity in any given configuration of the source/absorber is very difficult to calculate. It's easier measuring it. However, there are estimates for the fraction of the incident energy thatis converted into photons:

fraction=3.5x10^-4ZE

where Z is the atomic number of the absorber and E is the maximum beta energy.

 

[Dickfore]

One usually plots spectral density of the intensity vs. wavelength. However, if you try to plot it vs. frequency, you might find some interesting reslut. Make sure you use the transformation for the Jacobian as well:
$$I_{\lambda}(\lambda) \, |d\lambda| = I_{\nu}(\nu) \, |d\nu|, \; \lambda = c/\nu$$

$$I_{\nu}(\nu) = I_{\lambda}\left(\frac{c}{\nu}\right) \, \left|\frac{d \lambda}{d \nu}\right| = \frac{c}{\nu^{2}} \, I_{\lambda}\left(\frac{c}{\nu}\right)$$

I suggest you take several points from an experimental spectrum, change the ordinate and use the above Jacobian transformation and plot it.

 

[ne_237]

Thanks for all's replays
I want to plot intensity of the produced x-ray energy in bremsstrahlumg reaction with different targets (for example tungsten) so that the peaks (k and L shell) are shown.

 

[Dickfore]

But, peaks are not bremsstrahlung. They are what is called characteristic lines.

 

[ne_237]

But, peaks are not bremsstrahlung. They are what is called characteristic lines.

Ok.That's right. But is there any formula for obtain this spectra?

 

[JeffKoch]

Ok.That's right. But is there any formula for obtain this spectra?

I think you're in way over your head and have an enormous amount of reading to do. People spend entire professional careers calculating detailed x-ray emission spectra for different kinds of experiments, and you haven't even broadly specified what the experiment is, never mind all the details that matter. If you just want spectra, dig around in the literature for an experiment similar to whatever it is you have in mind - electron impact, cold/warm target, thick/thin target, laser heating, pulse power, commercial x-ray tube, etc.

 

[ne_237]

One usually plots spectral density of the intensity vs. wavelength. However, if you try to plot it vs. frequency, you might find some interesting reslut. Make sure you use the transformation for the Jacobian as well:
$$I_{\lambda}(\lambda) \, |d\lambda| = I_{\nu}(\nu) \, |d\nu|, \; \lambda = c/\nu$$

$$I_{\nu}(\nu) = I_{\lambda}\left(\frac{c}{\nu}\right) \, \left|\frac{d \lambda}{d \nu}\right| = \frac{c}{\nu^{2}} \, I_{\lambda}\left(\frac{c}{\nu}\right)$$

I suggest you take several points from an experimental spectrum, change the ordinate and use the above Jacobian transformation and plot it.

where I can give experimental data of this spectra?Can you help me and introduce some sites?
Thanks