5. Diamond and silicon have the same type of lattice structure, an fcc with a basis, but different lattice constants. Is the lattice structure factor S the same for both substances?
5. Diamond and silicon have the same type of lattice structure, an fcc with a basis, but different lattice constants. Is the lattice structure factor S the same for both substances?
Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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5. Diamond and silicon have the same type of lattice structure, an fcc with a basis,
but different lattice constants. Is the lattice structure factor S the same for both
substances?
6. A reciprocal-lattice vector has a dimension equal to the reciprocal of length,
for example, cm¯!. Is it meaningful to compare the magnitudes of a direct-lattice
vector R with a reciprocal-lattice vector G? Is it meaningful to compare their
directions? If the latter answer is yes, find the angle between R and G in terms of
their components in a cubic crystal. What is the angle between R = [111] and
G = [110]?
7. Does a real lattice vector have a corresponding unique reciprocal vector?
8. Draw a figure illustrating momentum conservation in the Bragg reflection considered
as a photon-crystal collision. Why is this collision elastic? Justify your answer
with numerical estimates.
Problems
65
9. Why is the energy of a neutron so much smaller than that of an electron in
radiation beams employed in crystal diffraction?
10. Can a light beam be used in the analysis of crystal structure? Estimate the lattice
constant for a crystal amenable to analysis by visible light.
11. Why is the neutron more useful than the proton in structure analysis?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F87103f70-8b7e-45f8-a35b-fc62b41d6817%2F7986a8dc-1024-44c7-adf0-92c60996335d%2F00fha7r_processed.png&w=3840&q=75)
Transcribed Image Text:oтplex rep
5. Diamond and silicon have the same type of lattice structure, an fcc with a basis,
but different lattice constants. Is the lattice structure factor S the same for both
substances?
6. A reciprocal-lattice vector has a dimension equal to the reciprocal of length,
for example, cm¯!. Is it meaningful to compare the magnitudes of a direct-lattice
vector R with a reciprocal-lattice vector G? Is it meaningful to compare their
directions? If the latter answer is yes, find the angle between R and G in terms of
their components in a cubic crystal. What is the angle between R = [111] and
G = [110]?
7. Does a real lattice vector have a corresponding unique reciprocal vector?
8. Draw a figure illustrating momentum conservation in the Bragg reflection considered
as a photon-crystal collision. Why is this collision elastic? Justify your answer
with numerical estimates.
Problems
65
9. Why is the energy of a neutron so much smaller than that of an electron in
radiation beams employed in crystal diffraction?
10. Can a light beam be used in the analysis of crystal structure? Estimate the lattice
constant for a crystal amenable to analysis by visible light.
11. Why is the neutron more useful than the proton in structure analysis?
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