Question

x-rays of wavelength 0.0722 nm are reflected from a nacl crystal, and the first-order maximum occurs at an angle of 20.4 ◦ . what value does this give for the interplanar spacing of nacl?

Answer 1

Step-by-step explanation:

The interplanar spacing can be calculated using the Bragg's law equation:

nλ = 2d * sinθ, where n is the order of reflection, λ is the wavelength of x-rays, d is the interplanar spacing, and θ is the angle of incidence.

Given n = 1, λ = 0.0722 nm, and θ = 20.4°, we can solve for d:

d = nλ / (2 * sinθ) = (1 * 0.0722 nm) / (2 * sin 20.4°) = 0.282 nm.