5. Make a drawing of the (110) plane of a bcc lattice. What's the distance between adjacent (110) planes if the lattice constant is a? 6. Make a drawing of the (111) plane of an fcc lattice. What's the distance between adjacent (111) planes if the lattice constant is a?

5. Make a drawing of the (110) plane of a bcc lattice. What's the distance between adjacent (110) planes if the lattice constant is a? 6. Make a drawing of the (111) plane of an fcc lattice. What's the distance between adjacent (111) planes if the lattice constant is a?

Understanding Motor Controls

4th Edition

ISBN:9781337798686

Author:Stephen L. Herman

Publisher:Stephen L. Herman

Chapter44: Semiconductors

Section: Chapter Questions

Problem 4RQ

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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

5. Make a drawing of the (110) plane of a bcc lattice. What's the distance between
adjacent (110) planes if the lattice constant is a?
6. Make a drawing of the (111) plane of an fcc lattice. What's the distance between
adjacent (111) planes if the lattice constant is a?

Expert Solution

Step 1

BCC stand for Body Centered Cubic.

The above diagram shows the BCC with (110) plane.

The distance between the adjacent planes is given by :

$d_{h k l} = \frac{a}{\sqrt{h^{2} + k^{2} + l^{2}}} h e r e, h = 1 k = 1 & l = 0 d_{(110)} = \frac{a}{\sqrt{1^{2} + 1^{2}}} = \frac{a}{\sqrt{2}}$

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