Chemistry Practice Problems Bragg Equation and Electron Diffraction Practice Problems Solution: X-rays with a wavelength of 13.6 nm are allowed to...

Solution: X-rays with a wavelength of 13.6 nm are allowed to diffract off a sample of copper. The first angle of constructive interference is seen at 25.25°. Determine the distance (in nm) of separation between layers in the sample of copper.a. 31.9 nmb. 63.76 nmc. 15.94 nmd. 18.42 nme. 9.21 nm

Problem

X-rays with a wavelength of 13.6 nm are allowed to diffract off a sample of copper. The first angle of constructive interference is seen at 25.25°. Determine the distance (in nm) of separation between layers in the sample of copper.

a. 31.9 nm

b. 63.76 nm

c. 15.94 nm

d. 18.42 nm

e. 9.21 nm


Solution

Use the formula from Bragg’s Law to determine the distance of separation between the layers in the sample of copper.

The Bragg's Law defines the relationship between the wavelength of the incident X-rays, angle of incidence and spacing between the crystal lattice planes of atoms:

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