Answer to Question #281418 in Quantum Mechanics for fsdfsdf

Question

In the scattering of x-rays from a crystal of NaCl, it is assumed that the scattered x-rays undergo no change in wavelength. Show that this is a reasonable assumption by calculating the order of magnitude of the Compton wavelength for a sodium atom and a chlorine atom and comparing it with a typical x-ray wavelength of 0.10 nm.

Answer 1

For the wavelength after scattering, we have:

$$\lambda'=\lambda+\frac h{m_ec}(1-\cos\theta),$$

for θ=0° $\lambda'=\lambda.$