91Ó°ÊÓ

Calculate the glancing angle on the plane (110) of a cube of rock salt ( \(a=2.81 \AA\) ) corresponding to second order diffraction maximum for the \(\mathrm{X}\) -rays of wavelength \(0.71 \AA\).

Sylvine (KCI) crystallizes in the form of simple cubic structure. Determine the interatomic spacing \(d\) and the glancing angle at which an X-ray of wavelength of \(1.787\) A is reflected in the third order. The density of \(\mathrm{KCI}\) is \(1990 \mathrm{~kg} / \mathrm{m}^{3}\) and the molecular weight is \(74.6\).

A bcc crystal is used to measure the wavelength of some X-rays. The Bragg angle for reflection from (110) plane is \(20.2^{\circ}\). What is the wavelength? The lattice parameter of the crystal is \(3.15 \mathrm{~A}\).

Using a diffractometer and a radiation of wavelength \(1.54 \AA\) only one reflection from an fce crystal is observed when \(2 \theta\) is \(121^{\circ}\). What are the indices of reflection? What is the interplanar spacing?

The first three lines from the powder pattern of a cubic crystal have the following \(S\) values: \(24.95,40.9\) and \(48.05 \mathrm{~mm}\). The camera radius is \(57.3 \mathrm{~mm}\). Molybdenum \(K_{\alpha}\) radiation of wavelength \(0.71 \AA\) is used. Determine the structure and the lattice parameter of the material.

The Bragg angle corresponding to a reflection for which \(\left(h^{2}+k^{2}+l^{2}\right)=8\) is found to be \(14.35^{\circ}\). Determine the lattice parameter of the crystal. X-rays or wavelength \(0.71 \AA\) are used. If there are two other reflections with smaller Bragg angles, what is the crystal structure?