Question

+ X-Ray Diffraction 25 of 30 > A Review Constants Periodic Table Part A X-ray diffraction can be used to obtain structural information of crystalline compounds. X-ray wavelengths are about the same size as the space between atoms in solids. X-rays aimed at a crystal are diffracted by the atoms in the crystalline lattice. This results in an X-ray diffraction pattern, which can be seen on a detector placed behind the crystal. X-rays with a wavelength of 1.58 A scatter at an angle of 18.0 from a crystal. If n = 1, what is the distance between planes of atoms in the crystal that give rise to this scattering? Express your answer with the appropriate units. X-ray diffraction is caused by constructive and destructive interference of the X-ray waves interacting with the electron clouds of the atoms in the crystal. Waves that are in phase interfere constructively, reinforcing each other. Waves that are out of phase interfere destructively with each other, canceling each other out. View Available Hint(s) The wave interference can be described mathematically by Bragg's equation: 2d x sin(0) = nl where : Value Units d is the distance between parallel planes of atoms in the crystal, 0 is the angle at which the x-ray is hitting the material relative to the plane, n is a nonzero integer, and is the wavelength of the X- ray. (Note: The units of d and do not matter so long as they are the same.) Submit

Answer 1

t=1.58x10''m , 0 = 180, naj Since I Sino =ny &d=n 3) do 1x1.58x10 = 5.113x106m Sin 18° = (d = 516.3x10-12 ml