In their study of X-ray diffraction, William and Lawrence Bragg determined that the rela...

In their study of X-ray diffraction, William and Lawrence Bragg determined that the relationship among the wavelength of the radiation (λ), the angle at which the radiation is diffracted (θ), and the distance between the layers of atoms in the crystal that cause the diffraction (d) is given by (a) X-rays from a copper X-ray tube that have a wavelength of are diffracted at an angle of 14.22 degrees by crystalline silicon. Using the Bragg equation, calculate the interplanar spacing in the crystal, assuming n = 1 (first-order diffraction). (b) Repeat the calculation of part (a) but for the n = 2 case (second-order diffraction).