Explanation Given: The following hexagonal lattice: Steps for calculating miller indices for the plane in the hexagonal lattice are: Find coordinates of the point. Find intercept coordinates by taking reciprocals. Miller indices for the plane: For plane A: 1 ) a 1 = 1 , a 2 = − 1 , a 3 = ∞ , c = 1 2 ) 1 / a 1 , 1 / a 2 , 1 / a 3 , 1 / c = 1 / 1 , 1 / − 1 , 1 / ∞ , 1 / c = 1 , − 1 , 0 , 1 = [ 1 1 ¯ 0 1 ] For plane B: 1 ) a 1 = ∞ , a 2 = ∞ , a 3 = ∞ , c = 2 / 3 2 ) 1 / a 1 , 1 / a 2 , 1 / a 3 , 1 / c = 1 / ∞ , 1 / ∞

Essentials Of Materials Science And Engineering

4th Edition

ISBN: 9781337385497

Author: WRIGHT, Wendelin J.

Publisher: Cengage,

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Question

Chapter 3, Problem 3.58P

Interpretation Introduction

Interpretation:

The indices for the planes in the given hexagonal lattice is to be determined.

Concept introduction:

Miller indices at the planes pass through the three points at edges of the crystal structure. In crystalline material, all the points, planes and directions are specified within the unit cell. The direction is defined as a line between two points.

Expert Solution & Answer

Chapter 3 Solutions

Essentials Of Materials Science And Engineering

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