The lattice spacing of the principal Bragg planes in sodium chloride is 0.282 nm.For what wavelength of x-rays will the first order reflected beam diffract at 55° with respect to the normal to the crystal planes?
A)0.323 nm
B)0.530 nm
C)0.662 nm
D)0.150 nm
E)0.462 nm

Question

Quizplus · Accepted Answer

The Bragg's law equation, $n\lambda = 2d\sin(\theta)$, where $n$ is the order of reflection (here, $n=1$), $d$ is the lattice spacing (0.282 nm), and $\theta$ is the angle with respect to the normal (55°), can be used to find the wavelength $\lambda$. Substituting the given values, $\lambda = \frac{2 \times 0.282 \times \sin(55°)}{1}$, results in a wavelength of approximately 0.323 nm.

The Lattice Spacing of the Principal Bragg Planes in Sodium