Question

The distance between layers in a NaCl crystal is 282 pm. X-rays are diffracted from these layers at an angle of 23.0o. Assuming that n = 1, calculate the wavelength of the X-rays in nm.

Answer 1

Given info : The distance between layers in a NaCl crystal is 282 pm. X-rays are diffracted from these layers at an angle of 23.0o. Assuming that n = 1.

To find : the wavelength of the X - ray in nm.

Solution : using Bragg's law of x - ray diffraction, nλ = 2dsinθ

Distance between layers of NaCl, d = 282 pm θ = 23° , n = 1

So, 1 × λ = 2 × 282sin23°

λ = 220.4 pm = 0.2204 nm

Therefore the wavelength of the X rays is 0.2204 nm

Answer 2

Answer:

Given info : The distance between layers in a NaCl crystal is 282 pm. X-rays are diffracted from these layers at an angle of 23.0o. Assuming that n = 1.

To find : the wavelength of the X - ray in nm.

Solution : using Bragg's law of x - ray diffraction, nλ = 2dsinθ

Distance between layers of NaCl, d = 282 pm θ = 23° , n = 1

So, 1 × λ = 2 × 282sin23°

λ = 220.4 pm = 0.2204 nm

Therefore the wavelength of the X rays is 0.2204 nm