An X-ray beam with = 151 incident on the surface of a crystal produced a maximum reflection at an angle of = 28.2.
Part A
Assuming , calculate the separation between layers of atoms in the crystal.
Confused on which formula to use to find this answer.
wavelength = 2d*sin theta.
solve for d although I'm confused by the 151 notation.
Thank you so much! The 151 was the wavelength notation.
To calculate the separation between layers of atoms in a crystal, you can use the Bragg's Law equation. Bragg's Law relates the angle of incidence (θ), the wavelength of the X-ray beam (λ), and the separation between atomic planes (d) in a crystal.
The formula for Bragg's Law is:
n * λ = 2 * d * sin(θ)
Where:
- n is the order of the reflection (usually 1 for the first maximum reflection)
- λ is the wavelength of the X-ray beam
- d is the separation between atomic planes
- θ is the angle of incidence.
Given that the wavelength (λ) is 151 pm (picometers) and the angle of incidence (θ) is 28.2 degrees, we can use Bragg's Law to find the separation between atomic planes (d).
However, you mentioned that there is some value missing in the question. It seems that the value of 'n' (the order of the reflection) is not provided. Could you please provide the value of 'n' so that we can proceed with the calculation?