The glancing angle (θ) of a Bragg reflection (n = 1) from a set of crystal planes separated by 99.3 pm is 10.42°. Calculate the wavelength of the X-rays that is used.

wavelength λ =  35.92 pm

Explanation:

Given that:

The glancing angle (θ) = 10.42°

Bragg reflection n = 1

wavelength λ = ???

diameter d = 99.3 pm

Using the formula:

nλ = 2dsinθ

we have:

1 × λ = 2 × ( 99.3) × sin (10.42°)

λ =  198.6 × 0.18086

λ =  35.92 pm