Professor Thiel's long-suffering grad student Quasimodo claims to have discovered a new phase of molybdenum disilicide (MoSi₂). He states the structure has a base-centered tetragonal lattice (a = 4.54 Å, c = 7.845 Å) with the atomic motif coordinates given in the chart below. His argument rests on the observation that indexing an X-ray diffraction pattern (2= 1.54 Å) using this structure confirms a systematic absence of the (110) reflection at 13.87°. You, of course, know that base-centered tetragonal is not one of the 14 Bravais lattices; therefore, this description of the structure must be wrong.
Professor Thiel's long-suffering grad student Quasimodo claims to have discovered a new phase of molybdenum disilicide (MoSi₂). He states the structure has a base-centered tetragonal lattice (a = 4.54 Å, c = 7.845 Å) with the atomic motif coordinates given in the chart below. His argument rests on the observation that indexing an X-ray diffraction pattern (2= 1.54 Å) using this structure confirms a systematic absence of the (110) reflection at 13.87°. You, of course, know that base-centered tetragonal is not one of the 14 Bravais lattices; therefore, this description of the structure must be wrong.
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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![Professor Thiel's long-suffering grad student Quasimodo claims to have discovered a new phase
of molybdenum disilicide (MoSi₂). He states the structure has a base-centered tetragonal lattice
(a = 4.54 Å, c = 7.845 Å) with the atomic motif coordinates given in the chart below. His
argument rests on the observation that indexing an X-ray diffraction pattern (2= 1.54 Å) using
this structure confirms a systematic absence of the (110) reflection at 13.87°. You, of course,
know that base-centered tetragonal is not one of the 14 Bravais lattices; therefore, this
description of the structure must be wrong.
Atom
Mo
Mo
Si
Si
Si
Si
0
1/2
y
0
0
0 0
0 0
1/2 0
1/2 0
z
0
1/2
1/3
2/3
1/6
5/6
a) Give the correct Bravais lattice and new lattice parameters.
b) Give the coordinates of the atoms in the new unit cell.
c) Prove that there is still a systematic absence at 13.87° and give the indices of the
forbidden reflection.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F88ca4c30-51fe-4a55-ab57-9e8751f53a24%2F68d32804-0c84-4c3f-a2ca-6b0004301ac1%2Fqmkrjwo_processed.png&w=3840&q=75)
Transcribed Image Text:Professor Thiel's long-suffering grad student Quasimodo claims to have discovered a new phase
of molybdenum disilicide (MoSi₂). He states the structure has a base-centered tetragonal lattice
(a = 4.54 Å, c = 7.845 Å) with the atomic motif coordinates given in the chart below. His
argument rests on the observation that indexing an X-ray diffraction pattern (2= 1.54 Å) using
this structure confirms a systematic absence of the (110) reflection at 13.87°. You, of course,
know that base-centered tetragonal is not one of the 14 Bravais lattices; therefore, this
description of the structure must be wrong.
Atom
Mo
Mo
Si
Si
Si
Si
0
1/2
y
0
0
0 0
0 0
1/2 0
1/2 0
z
0
1/2
1/3
2/3
1/6
5/6
a) Give the correct Bravais lattice and new lattice parameters.
b) Give the coordinates of the atoms in the new unit cell.
c) Prove that there is still a systematic absence at 13.87° and give the indices of the
forbidden reflection.
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