Moseley's Law

Again from the MSE204 notes, the formula for the change in energy for an electron transition from state $n_{2}$ to $n_{1}$, of an atom with atomic number, Z, is

$$\Delta E = E_{n_{2}} - E_{n_{1}} = - Er (Z-\sigma)^{2} \left( \frac{1}{n_{2}^{2}} - \frac{1}{n_{1}^{2}} \right)$$ (4)

where $\sigma$ is a constant thats value depends upon the transition. For the transitions of interest, K$\alpha$, K$\beta$, and L the values for $\sigma$ are 1.0, 1.0, and 7.4. The results are plotted in figure 2.

Figure 2: Results from Moseley Model