The structure molecules can be confirmed by using X-ray diffraction analysis, which are explained by Bragg’s Law. The law states that when the x-ray is incident onto a crystal surface, its angle of incidence, will reflect back with a same angle of scattering. A first-order reflection from the {111} planes of a cubic crystal was observed at a glancing angle of 18.9° when Cu(Kα) X-rays of wavelength 179 pm were used. (i) Illustrate clearly the reflection of crystal using Bragg’s Law. (ii) Calculate the unit cell parameters of the crystal. (iii) Calculate the angle at which the same crystal will give a reflection

University Physics Volume 3
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ISBN:9781938168185
Author:William Moebs, Jeff Sanny
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Chapter4: Diffraction
Section: Chapter Questions
Problem 76P: On a certain crystal, a first-order X-ray diffraction maximum is observed at an angle of 27.1°...
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The structure molecules can be confirmed by using X-ray diffraction
analysis, which are explained by Bragg’s Law. The law states that when the
x-ray is incident onto a crystal surface, its angle of incidence, will reflect
back with a same angle of scattering. A first-order reflection from the {111}
planes of a cubic crystal was observed at a glancing angle of 18.9° when
Cu(Kα) X-rays of wavelength 179 pm were used.

(i) Illustrate clearly the reflection of crystal using Bragg’s Law.
(ii) Calculate the unit cell parameters of the crystal.
(iii) Calculate the angle at which the same crystal will give a reflection
from the {123} planes.

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