Question

The binding energies of K-shell and L-shell electrons in a certain metal are EK and EL, respectively, If a K?x ray from this metal is incident on a crystal and gives a first-order Bragg reflection at an angle ? measured relative to parallel planes of atoms, what is the spacing between these parallel planes? State your answer in terms of the given variables, using h and c when needed.

Answer 1

Solution: Thus the relation between energy and wavelength is, hc ΔΕ hc From the condition of Bragg's law. For the first order Bragg's law of reflection, hc 2 sin (Ex - E) Here, d is the separation distance between the parallel planes of an atom, h is the Planck's constant, cis the velocity oflight, θ1s the angle of reflection. Exis the energy ofthe K shell, and Et is the energy of the L shell. Hence, the separation distance between the parallel planes of an atom is |hc/2 sin θ(Er-E