13. Show that the maximum packing ratio in the diamond structure is ë/3/16. [Hint: The structure may be viewed as two interpenetrating fcc lattices, arranged such that each atom is surrounded by four other atoms, forming a regular tetrahedron.]

13. Show that the maximum packing ratio in the diamond structure is ë/3/16. [Hint: The structure may be viewed as two interpenetrating fcc lattices, arranged such that each atom is surrounded by four other atoms, forming a regular tetrahedron.]

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 49GQ

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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

13. Show that the maximum packing ratio in the diamond structure is n/3/16. [Hint:
The structure may be viewed as two interpenetrating fcc lattices, arranged such
that each atom is surrounded by four other atoms, forming a regular tetrahedron.]
14. A quantitative theory of bonding in ionic crystals was developed by Born and
Meyer along the following lines: The total potential energy of the system is taken
to be
ae?
E = N-

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