When an X-ray beam impinges upon a sample, it gets partially transmitted, partially absorbed, and partially scattered (diffracted). The ratio of the intensity of the transmitted beam to that of the incident beam can be expressed as: I_T/I₀ = e^-αx where α is a constant and x is the thickness of the sample. We know that if the thickness of a sample is doubled, it means that the number of crystallographic planes that cause diffraction from a transmitted beam has been doubled. Based on this, propose a formula that describes the intensity of the diffracted beam versus the incident beam. At what thickness is this intensity maximum? What percentage of light will be transmitted at this optimum thickness?