When scattering 3.28 Angstrom X-rays off a crystal an interference maximum occurs at a scattering angle of 23.0 degrees.At what angle does the second maximum occur?
A) 51.3$^{\circ}$
B) 46.0$^{\circ}$
C) 34.5$^{\circ}$
D) there is no second maximum.

Question

Quizplus · Accepted Answer

The Bragg's law for interference maxima is given by nλ = 2d sin(θ). For the second maximum (n=2), the angle θ must be larger than for the first maximum (n=1). Solving for the second maximum gives an angle of 51.3 degrees.

When Scattering 3 ∘^{\circ}∘ B) 460 ∘^{\circ}∘ C) 345 ∘^{\circ}∘ D) There Is No Second Maximum

When Scattering 3 $^{\circ}$ B) 460 $^{\circ}$ C) 345 $^{\circ}$ D) There Is No Second Maximum