Explanation behind Moseley's Law?

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SUMMARY

Moseley's Law describes the relationship between the atomic number (Z) and the frequency of X-rays emitted by elements. The formula incorporates (Z-1) to account for electron-electron repulsion differences in initial and final atomic states during X-ray transitions. The values of 1 and 7.6 arise from empirical observations and adjustments made by Moseley, who initially attributed these discrepancies to electron screening effects. Understanding these values is crucial for accurate predictions of X-ray emissions in atomic physics.

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  • Basic understanding of atomic structure and electron configurations
  • Familiarity with X-ray spectroscopy techniques
  • Knowledge of electron-electron repulsion concepts in quantum mechanics
  • Understanding of empirical data analysis in physics
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tade
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That page attempts to explain the Z-1. What part of it are you having trouble with?
 
wiki states it is "predominantly a consequence of the difference of the value of the electron-electron repulsion in the initial and final states of the atom that undergoes the x-ray transition"

but I'm not sure how we can derive the values of 1 and 7.6
 
so initially Moseley thought it was due to screening
 

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