Using X-ray Diffraction When an x-ray beam is scattered off the planes of a crystal, the scattered beam creates an interference pattern. This phenomenon is called Bragg scattering. For an observer to measure an interference maximum, two conditions have to be satisfied: 1. The angle of incidence has to be equal to the angle of reflection. 2. The difference in the beam's path from a source to an observer for neighboring planes has to be equal to an integer multiple of the wavelength; that is, 2d cos(0) = mλ for m = 1, 2,.... The path difference 2d cos(0) can be determined from the dinaram (Cinuro 11 The cocond condition is known o 3 of 22 Review | Constants | Periodic Table An x-ray beam with wavelength 0.200 nm is directed at a crystal. As the angle of incidence increases, you observe the first strong interference maximum at an angle 69.5°. What is the spacing d between the planes of the crystal? Express your answer in nanometers to three significant figures. ΤΟ ΑΣΦ d = ? nm Figure of > d cose dcose 1 of 1 Submit Request Answer Part B Find the angle 02 at which you will find a second maximum. Express your answer in degrees to three significant figures. ΕΠΙ ΑΣΦ ? 02 = Submit Request Answer

Using X-ray Diffraction When an x-ray beam is scattered off the planes of a crystal, the scattered beam creates an interference pattern. This phenomenon is called Bragg scattering. For an observer to measure an interference maximum, two conditions have to be satisfied: 1. The angle of incidence has to be equal to the angle of reflection. 2. The difference in the beam's path from a source to an observer for neighboring planes has to be equal to an integer multiple of the wavelength; that is, 2d cos(0) = mλ for m = 1, 2,.... The path difference 2d cos(0) can be determined from the dinaram (Cinuro 11 The cocond condition is known o 3 of 22 Review | Constants | Periodic Table An x-ray beam with wavelength 0.200 nm is directed at a crystal. As the angle of incidence increases, you observe the first strong interference maximum at an angle 69.5°. What is the spacing d between the planes of the crystal? Express your answer in nanometers to three significant figures. ΤΟ ΑΣΦ d = ? nm Figure of > d cose dcose 1 of 1 Submit Request Answer Part B Find the angle 02 at which you will find a second maximum. Express your answer in degrees to three significant figures. ΕΠΙ ΑΣΦ ? 02 = Submit Request Answer