When scattering 3.28 Angstrom X-rays from a crystal an interference maximum occurs at a scattering angle of 23.0 degrees.What is the crystal spacing?
A) 4.2 Angstroms
B) 16.8 Angstroms
C) 6.3 Angstroms
D) 8.4 Angstroms

Question

Quizplus · Accepted Answer

Bragg's law: 2d * sin(theta) = n * lambda, where d is the crystal spacing, theta is the scattering angle, n is the order of the reflection (n = 1 for the first order), and lambda is the wavelength of the X-rays. Rearranging for d, we get: d = n * lambda / (2 * sin(theta)). Plugging in the given values, we get: d = 1 * 3.28 Angstroms / (2 * sin(23.0 degrees)) = 4.2 Angstroms.

When Scattering 3