QUESTIONS FOR UNIT CELL GEOMETRY EXP. NAME 1. Calculating the packing fraction (the percent space occupied by atoms) for a hexagonal unit cell requires a bit more trigonometry than the same calculation for a cubic cell. However, based on your observations, which of the cubic cells would you expect to have the same packing fraction (percent of cell space occupied by atoms) as the hexagonal cell? Explain your reasoning. In a face-centered cube, atoms touch each other on a diagonal across the face of the cell. Calculate the percent of the space (i.e., the packing fraction) in the cell occupied by atoms. Hint: Calculate the length of each cell in terms of the radii of the atoms using the Pythagorean Theorem which, for a right triangle, states: a2 + b2 = c². 2.
QUESTIONS FOR UNIT CELL GEOMETRY EXP. NAME 1. Calculating the packing fraction (the percent space occupied by atoms) for a hexagonal unit cell requires a bit more trigonometry than the same calculation for a cubic cell. However, based on your observations, which of the cubic cells would you expect to have the same packing fraction (percent of cell space occupied by atoms) as the hexagonal cell? Explain your reasoning. In a face-centered cube, atoms touch each other on a diagonal across the face of the cell. Calculate the percent of the space (i.e., the packing fraction) in the cell occupied by atoms. Hint: Calculate the length of each cell in terms of the radii of the atoms using the Pythagorean Theorem which, for a right triangle, states: a2 + b2 = c². 2.
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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Transcribed Image Text:QUESTIONS FOR UNIT CELL GEOMETRY EXP.
NAME
1. Calculating the packing fraction (the percent space occupied by atoms) for a hexagonal unit cell requires a
bit more trigonometry than the same calculation for a cubic cell. However, based on your observations,
which of the cubic cells would you expect to have the same packing fraction (percent of cell space occupied
by atoms) as the hexagonal cell? Explain your reasoning.
In a face-centered cube, atoms touch each other on a diagonal across the face of the cell. Calculate the
percent of the space (i.e., the packing fraction) in the cell occupied by atoms. Hint: Calculate the length of
each cell in terms of the radii of the atoms using the Pythagorean Theorem which, for a right triangle,
states: a2 + b² = c².
2.
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