Answer to Question #152937 in Optics for Viccy

Question

Explain mosley law

Answer 1

Mosley's law is an empirically established dependence of the frequency and wavelength of series of characteristic X-rays emitted by atoms on the atomic number of a chemical element:

$\frac{1}{\lambda}=R(Z-\sigma_{mn})^2(\frac{1}{n^2}-\frac{1}{m^2})$ ,

where

$Z$ is the atomic number;

$R$ is the Rydberg constant;

$n$  is the quantum number of final energy level;

$m$ is the quantum number of initial energy level;

$\lambda$ is the wavelength;

$\sigma_{mn}$ is the shielding constant.