Calculate the number of atoms in a hexagonal unit cell. Please show all work rather than grouping atoms together. (Recall that y = 120° and that all four angles in the base must sum to 360°).

Chemistry by OpenStax (2015-05-04)
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Author:Klaus Theopold, Richard H Langley, Paul Flowers, William R. Robinson, Mark Blaser
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Chapter10: Liquids And Solids
Section: Chapter Questions
Problem 86E: The free space in a metal may be found by subtracting the volume of the atoms in a unit cell from...
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1. Calculate the number of atoms in a hexagonal unit cell. Please show all work rather than
grouping atoms together. (Recall that y = 120° and that all four angles in the base must sum
to 360°).
2. What is the packing efficiency for each of the following unit cells in which all the atoms are
identical? Give your answers to four significant figures. Hint: Determine the length of an
edge for each cubic cell in terms of r, the atoms' atomic radii.
(a) Simple cubic cell
(b) Face-centered cubic
Transcribed Image Text:1. Calculate the number of atoms in a hexagonal unit cell. Please show all work rather than grouping atoms together. (Recall that y = 120° and that all four angles in the base must sum to 360°). 2. What is the packing efficiency for each of the following unit cells in which all the atoms are identical? Give your answers to four significant figures. Hint: Determine the length of an edge for each cubic cell in terms of r, the atoms' atomic radii. (a) Simple cubic cell (b) Face-centered cubic
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