0,2 / (î+j+k). 3. Show that the angle between any two of thelines (bonds) joining a site of a diamond lattice toits four nearest neighbors is cos-¹(-1/3) = 109° 28'.Note, a diamond lattice is a FCC lattice with a twoatom basis:

Answered: Image /qna-images/answer/051e2f4f-83e0-49c8-84c8-02cf7fd87c07.jpg

Answered: 3. Show that the angle between a lines…

3. Show that the angle between a lines (bonds) joining a site of a dia its four nearest neighbors is cos-¹0 Note, a diamond lattice is a FCC la atom basis.

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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Concept explainers

The Space Lattice and Unit Cells

Every matter consists of atoms, molecules, and ions. If these atoms, molecules, and ions (micro-particles) are represented in a three-dimensional space-occupying certain specific points in space, then these arrangements are termed as space lattices and the specific points which are being occupied by atoms, molecules and ions are termed as lattice points. The atoms, molecules, and ions at the lattice points are generally grouped in a regular fashion and repeat periodically at the three-dimensional space.

Question

3. Show that the angle between any two of the
lines (bonds) joining a site of a diamond lattice to
its four nearest neighbors is cos-¹(-1/3) = 109° 28'.
Note, a diamond lattice is a FCC lattice with a two
atom basis:

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the answer should be equal to 0.842
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