In their study of X-ray diffraction, William and LawrenceBragg determined that the relationship among the wavelengthof the radiation 1l2, the angle at which the radiationis diffracted 1u2, and the distance between planes ofatoms in the crystal that cause the diffraction (d) is given bynl = 2d sin u. X rays from a copper X-ray tube that have awavelength of 1.54 Å are diffracted at an angle of 14.22 degreesby crystalline silicon. Using the Bragg equation, calculatethe distance between the planes of atoms responsiblefor diffraction in this crystal, assuming n = 1 (first-orderdiffraction).
In their study of X-ray diffraction, William and LawrenceBragg determined that the relationship among the wavelengthof the radiation 1l2, the angle at which the radiationis diffracted 1u2, and the distance between planes ofatoms in the crystal that cause the diffraction (d) is given bynl = 2d sin u. X rays from a copper X-ray tube that have awavelength of 1.54 Å are diffracted at an angle of 14.22 degreesby crystalline silicon. Using the Bragg equation, calculatethe distance between the planes of atoms responsiblefor diffraction in this crystal, assuming n = 1 (first-orderdiffraction).
Chemistry: The Molecular Science
5th Edition
ISBN:9781285199047
Author:John W. Moore, Conrad L. Stanitski
Publisher:John W. Moore, Conrad L. Stanitski
Chapter9: Liquids, Solids, And Materials
Section: Chapter Questions
Problem 71QRT
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Question
In their study of X-ray diffraction, William and Lawrence
Bragg determined that the relationship among the wavelength
of the radiation 1l2, the angle at which the radiation
is diffracted 1u2, and the distance between planes of
atoms in the crystal that cause the diffraction (d) is given by
nl = 2d sin u. X rays from a copper X-ray tube that have a
wavelength of 1.54 Å are diffracted at an angle of 14.22 degrees
by crystalline silicon. Using the Bragg equation, calculate
the distance between the planes of atoms responsible
for diffraction in this crystal, assuming n = 1 (first-order
diffraction).
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