Diamond has a face-centered cubic unit cell, with fourmore C atoms in tetrahedral holes within the cell. Densities of diamonds vary from 3.01 g/cm³ to 3.52 g/ cm³ C atoms are missing from some holes. (a) Calculate the unit-cell edge length of the densest diamond. (b) Assuming the cell dimensions are fixed, how many C atoms are in the unit cell of the diamond the lowest density?

Principles of Modern Chemistry
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ISBN:9781305079113
Author:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler
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Chapter21: Structure And Bonding In Solids
Section: Chapter Questions
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Diamond has a face-centered cubic unit cell, with fourmore C atoms in tetrahedral holes within the cell. Densities of diamonds vary from 3.01 g/cm³ to 3.52 g/ cm³ C atoms are missing from some holes. (a) Calculate the unit-cell edge length of the densest diamond. (b) Assuming the cell dimensions are fixed, how many C atoms are in the unit cell of the diamond the lowest density?

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