You are measuring the lattice constant (the distance between planes of atoms) of

Question

You are measuring the lattice constant (the distance between planes of atoms) of a sample crystal using X-ray diffraction. The crystal structure is known to be SC or simple cubic. Your X-ray tube produces X-rays with a wavelength of 0.990 nm. You observe the first diffraction peak at an angle of 15.6°. What is the lattice constant of the crystal?

You are measuring the lattice constant (the distance between planes of atoms) of a sample crystal using X-ray diffraction The crystal structure is known to be SC or simple cubic. Your X-ray tube produces X-rays with a wavelength of 0.990 nm. You observe the first diffraction peak at an angle of 15.6°. What is the lattice constant of the crystal? Submit Answe Tries 0/20

Explanation / Answer

Accoridng to the given problem,

Bragg Eqn:
n = 2dsin Where n is an integer (n = 1 in this case), is the wavelength of incident wave, d is the spacing between the planes in the atomic lattice, and is the angle between the incident ray and the scattering planes.

0.990 = 2dsin(15.6°)

d = 0.990/2sin(15.6°)

d = 1.8407nm

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