If an X-ray beam of wavelength 1.4 × 10-10 m makes an angle of 30° with a set of planes in a crystal causing first order constructive interference, what is the plane spacing?

Plane spacing,

Explanation:

It is given that,

Wavelength of x-ray,

Angle the x-ray made with a set of planes in a crystal causing first order constructive interference is 30 degrees

We need to find the plane spacing. It is based on Bragg's law such that,

d is plane spacing

n = 1 here

So, the plane spacing is .