When an X-ray beam with a wavelength of 120 pm strikes the surface of a crystal with a lattice spacing of 165 nm,what is the maximum reflection angle with a value of n=1?

Question

Quizplus · Accepted Answer

The Bragg's Law is given as:
nλ = 2d sin(θ)
where,
n = order of diffraction
λ = wavelength
d = lattice spacing
θ = reflection angle

For n=1, we can rearrange the equation as:
sin(θ) = nλ / 2d
sin(θ) = (120 pm) / (2 x 165 nm)
sin(θ) = 0.3636
θ = sin^-1(0.3636)
θ ≈ 21.3°

Therefore, the maximum reflection angle is approximately 21.3°, which corresponds to choice B.

When an X-Ray Beam with a Wavelength of 120 Pm