Calculating temperature of electron beam

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The discussion focuses on finding a formula to calculate the temperature of an electron beam, particularly for applications involving multiple energy levels. A specific article related to electron beam temperature measurements at Fermilab is referenced for insights. One participant seeks to determine the irradiance of synchrotron radiation emitted from the electron beam, noting the need for a temperature value similar to that of the Sun. The inquiry emphasizes the importance of a general formula that incorporates energy, current, and wavelength for accurate calculations. The conversation highlights the complexity and varied applications of electron beam temperature calculations.
KJ4EPE
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I was curious. Does anyone know of anywhere were I might be able to find a formula for calculating the temperature of an electron beam? I already know the frequency and energy levels (actually calculating for multiple energies, so I have a spreadsheet I'd like to plug the equation into).
 
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Your question could apply to any of many electron beam applications. Here is one article pertaining development of a cool electron beam being developed to cool an antiproton beam at ~ 8.9 GeV. Can you be more specific?

"ELECTRON BEAM TEMPERATURE MEASUREMENTS AT THE
FERMILAB MEDIUM ENERGY ELECTRON COOLER"

http://cern.ch/AccelConf/d07/papers/wepb18.pdf

Bob S
 
Well, I'm trying to find the irradiance of synchrotron radiation emitted from an electron beam. The equation I have for irradiance requires the temperature of the radiation source. For example, the Sun is something like 5760 K, so I was looking for a way to calculate a similar temperature for the e-beam. I'm actually calculating it for multiple passes on a recirculating linac (a la CEBAF at JLab), so I needed a general formula with certain energy, current, wavelength, etc.
 

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