1. Suppose identical solid spheres are distributed through space in such a way that their centers are lie on the points of a lattice, and spheres on neighboring points just touch without overlapping. (Such an arrangement of spheres is called a close-packing arrangement.) Assuming that the spheres have unit density, show that the density of a set of close-packed spheres on each of the four structures (the "packing fraction") is: fcc: bcc: √√2/6=0.74 √3/8=0.68 SC: π/6=0.52 √√3/16=0.34 diamond:

1. Suppose identical solid spheres are distributed through space in such a way that their centers are lie on the points of a lattice, and spheres on neighboring points just touch without overlapping. (Such an arrangement of spheres is called a close-packing arrangement.) Assuming that the spheres have unit density, show that the density of a set of close-packed spheres on each of the four structures (the "packing fraction") is: fcc: bcc: √√2/6=0.74 √3/8=0.68 SC: π/6=0.52 √√3/16=0.34 diamond:

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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