X-Ray emission and Bragg Scattering (K-Alpha and K-beta absorption)

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SUMMARY

The discussion centers on the Bragg scattering of X-rays off NaCl, specifically comparing the energy of the first order K-Alpha peak to that of the second order K-Alpha peak. It is established that the intensity of the K-Alpha peak is greater than that of the K-Beta peak in the first order, indicating that K-Beta requires higher energy. The forum participants seek to understand the energy difference between the first and second order K-Alpha peaks and the necessary equations to calculate this difference, emphasizing the need to focus on energy rather than intensity.

PREREQUISITES
  • Understanding of Bragg's Law and its application in X-ray diffraction
  • Familiarity with K-Alpha and K-Beta X-ray emissions
  • Knowledge of photon energy equations, specifically Emax = eV = hf
  • Basic principles of X-ray production and scattering
NEXT STEPS
  • Research the mathematical relationship between first and second order K-Alpha peaks in X-ray scattering
  • Study the derivation of Bragg's Law and its implications for X-ray diffraction patterns
  • Explore the differences in energy levels between K-Alpha and K-Beta emissions
  • Investigate the impact of accelerating voltage on X-ray photon energy and intensity
USEFUL FOR

Students and researchers in physics, particularly those focusing on X-ray crystallography, materials science, and anyone studying the properties of X-ray emissions and their applications in diffraction techniques.

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Homework Statement


Complete this sentence. When doing Bragg scattering of x-rays off of NaCl, the first order K-Alpha peak has an energy that is ___________ the energy of the second order K-Alpha peak.

Known Information
It is known that the Intensity of the K-Alpha is greater than the K-Beta intensity in the first order. This means that the energy required to produce K-Beta is greater.

At higher energies (greater than 30Kev) the Intensity will be smaller than the first order Intensities.

Homework Equations



\lambda = 2 d sin \thetaEmax = eV = hfmax=\frac{hc}{ \lambda<sub>min</sub> }

Please excuse the crude format error in the equation above (im a noob to the forum)

Where Emax is the maximum photon energy, \lambda min is the minimum wavelength that is determined by the accelerating voltage V of the tube

The Attempt at a Solution



I attempted to combine the equations above to come up with an explanation to the problem above however all it yields is lattice spacing and the angle of incidence. What am I missing?

Google searches have been helpful in the understanding of how x-rays are made but little information is give to K-alpha and K-beta other than their definition and how they occur but nothing as to the first and second order energy difference between them.

What is the percentage or fraction that describes this difference between the first order and second order K-alpha peaks?

Which equations are necessary to find this besides the ones listed above?
 
Physics news on Phys.org
You are talking about intensity whereas the statement of the problem is talking about energy. I think the problem is asking you to compare energies.
 

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