What Is the Wavelength of the L Absorption Edge for Uranium?

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SUMMARY

The wavelength of the L absorption edge for uranium (Z=92) is calculated to be 0.71 Å. The K absorption edge is established at 0.107 Å, while the Kα line is at 0.126 Å. The formulas used include EK= (Z-1)²*13.6 for the K-edge and EL= (Z-σL)²*13.6*1/4 for the L-edge, where σ represents the screening constant. This calculation is essential for understanding the electronic transitions in uranium and its X-ray characteristics.

PREREQUISITES
  • Understanding of atomic structure and electron configurations
  • Familiarity with X-ray spectroscopy concepts
  • Knowledge of the screening constant (σ) in atomic physics
  • Basic grasp of quantum mechanics related to energy levels
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Homework Statement



In uranium (Z=92) the K absorption edge is 0.107 Å and the Kα line is 0.126 Å. Determine the wavelength of the L absorption edge.

Homework Equations



K-edge: EK= (Z-1)2*13.6
L-edge: EL= (Z-σL)2*13.6*1/4
what is σ and how was calculated.
Characteristic X-rays: Ex = h*ν= h*c/λ= ΔEkin = Ekin(i)-Ekin(f)
Bremsstrahlung: Emax=Ekin(i)

The Attempt at a Solution


λL= 0.71 Å
 
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