Answered: Hints: (b) For e) (a) Three-dimensional…

Hints: (b) For e) (a) Three-dimensional filling of the hexagonal close packed (left) and face-centered cubic (right) structures.

Chemistry for Engineering Students

4th Edition

ISBN:9781337398909

Author:Lawrence S. Brown, Tom Holme

Publisher:Lawrence S. Brown, Tom Holme

Chapter8: Molecules And Materials

Section: Chapter Questions

Problem 8.56PAE

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Concept explainers

Crystallography

Crystallography is the category of science that focuses on the atomic and molecular arrangements with their bonding constituting the crystal structure. It is derived experimentally and originated in the year 1912. It is a combination of two words; those are crystal, meaning a cold drop, and graph, meaning writing.

Question

Hi, Can you solve the question please. And can you explain each steps please? \

This subject is related to Solid State Physics

1) Assume that the elemental atoms are hard spheres of radius r.

Calculate the maximum packing rate t obtained when this element

crystallizes into the following structures:

(e) hexagonal close packed (hcp) (first calculate the optimal c/a

relation)

Hints:
(b)
For e)
Three-dimensi onal filling of the hexagonal close packed (left)
and face-centered cubic (right) structures.

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