Many elements crystallize with a unit cell that is hexagonally shaped (6 sided). The calculations of the unit cell dimension are not significantly more complicated than those for cubic unit cells. A hexagonal unit cell is shown below. 3/3 a?c Volume 2 6 atoms per unit cell The cell dimension "a" is twice the radius (r) of the atom. 2r=a. For most elements the dimension "c" is approximately 1.633x"a". The element cerium (Ce) crystallizes with a Simple Hexagonal unit cell. The density of a cerium is 6.689 g/cm3. Use this information to calculate the metallic radius of cerium in picometers (pm). 1 pm = 1×10-12 meters. You can assume that the dimension c=1.633-a
Many elements crystallize with a unit cell that is hexagonally shaped (6 sided). The calculations of the unit cell dimension are not significantly more complicated than those for cubic unit cells. A hexagonal unit cell is shown below. 3/3 a?c Volume 2 6 atoms per unit cell The cell dimension "a" is twice the radius (r) of the atom. 2r=a. For most elements the dimension "c" is approximately 1.633x"a". The element cerium (Ce) crystallizes with a Simple Hexagonal unit cell. The density of a cerium is 6.689 g/cm3. Use this information to calculate the metallic radius of cerium in picometers (pm). 1 pm = 1×10-12 meters. You can assume that the dimension c=1.633-a
Chemistry & Chemical Reactivity
10th Edition
ISBN:9781337399074
Author:John C. Kotz, Paul M. Treichel, John Townsend, David Treichel
Publisher:John C. Kotz, Paul M. Treichel, John Townsend, David Treichel
Chapter12: The Solid State
Section: Chapter Questions
Problem 50GQ: Consider the three types of cubic units cells. (a) Assuming that the spherical atoms or ions in a...
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![Many elements crystallize with a unit cell that is hexagonally shaped (6 sided). The calculations of the unit cell dimension are not significantly more complicated than those for
cubic unit cells. A hexagonal unit cell is shown below.
3/3 a²c
Volume
6 atoms per unit cell
The cell dimension "a" is twice the radius (r) of the atom. 2r=a. For most elements the dimension "c" is approximately 1.633x"a".
The element cerium (Ce) crystallizes with a Simple Hexagonal unit cell. The density of a cerium is 6.689 g/cm³. Use this information to calculate the metallic radius of cerium in
picometers (pm). 1 pm = 1×10-12 meters. You can assume that the dimension c=1.633-a
[Note: The theoretical value for the radius may be different from the experimentally determined value. Simply Googling the radius may not yield the correct result]
Radius =
pm](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2afd90fa-d741-493e-8449-02e78fc5dc03%2Fc65074c7-5ad7-4cc3-91f4-a72262a9d3d7%2Ffwo8snd_processed.png&w=3840&q=75)
Transcribed Image Text:Many elements crystallize with a unit cell that is hexagonally shaped (6 sided). The calculations of the unit cell dimension are not significantly more complicated than those for
cubic unit cells. A hexagonal unit cell is shown below.
3/3 a²c
Volume
6 atoms per unit cell
The cell dimension "a" is twice the radius (r) of the atom. 2r=a. For most elements the dimension "c" is approximately 1.633x"a".
The element cerium (Ce) crystallizes with a Simple Hexagonal unit cell. The density of a cerium is 6.689 g/cm³. Use this information to calculate the metallic radius of cerium in
picometers (pm). 1 pm = 1×10-12 meters. You can assume that the dimension c=1.633-a
[Note: The theoretical value for the radius may be different from the experimentally determined value. Simply Googling the radius may not yield the correct result]
Radius =
pm
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