X-Ray Spectrum of Copper Tube at 20kV

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SUMMARY

The discussion focuses on the x-ray spectrum generated by a copper target in an x-ray tube operating at an excitation potential of 20kV. Key energy levels for copper are identified as K shell at -9000 eV, L shell at -1000 eV, and M shell at -200 eV. The minimum wavelength of emitted x-rays is calculated to be approximately 0.62 Å, corresponding to the maximum energy of 20,000 eV. The conversation clarifies that while the excitation potential exceeds the energy levels, it does not necessarily lead to the ejection of bound electrons from the atom without sufficient energy.

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  • Knowledge of photon wavelength calculations
  • Basic principles of Bremsstrahlung radiation
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Homework Statement



Sketch and label the x-ray spectrum for an x-ray tube with copper as its target, operating at an excitation potential of 20kV.Assume that the copper energy levels are K shell=-9000ev,L shell=-1000ev,M shell=-200ev.

Homework Equations



This question has me a bit confused. Basically in this example we can have 3 possible transitions,
K(a) emmision, K(b) emmision and L(a) emmision from state three to state 1.

However i am wondering given that the excitation potential is way bigger than the energy levels won't any impact with either of the bound electrons cause them to leave the atom?
In addition the solution has a minimum possible wavelength of 0.6 Amgstrom.Where does this come from since the three posible transitions have wavelength 0.155nm,0.141nm,1.5nm.

The Attempt at a Solution

 
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Have a look at this: http://en.wikipedia.org/wiki/Bremsstrahlung
The minimum wavelength of the photon corresponds to the maximum energy, which is in this case 20.000 eV. Thus, the minimum wavelength is about 0.62 Angstrom. In this extreme case, the incoming electron is stopped nearly immediately and emits only one photon, not radiates gradually along its path.

Have a look at this too: http://en.wikipedia.org/wiki/File:TubeSpectrum.jpg

I don't get what you meant here: "However i am wondering given that the excitation potential is way bigger than the energy levels won't any impact with either of the bound electrons cause them to leave the atom?"
 
the excitation potential has got to be high. you need an v.energetic electron to knock off an electron from the K-shell.
 

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