Explanation Given Information: Coordinate of plane A: ( 0 , 0 , 1 ) , ( 1 , 0 , 0 ) , ( 1 2 , 1 2 , 0 ) Calculation: Coordinate of plane A: ( 0 , 0 , 1 ) , ( 1 , 0 , 0 ) , ( 1 2 , 1 2 , 0 ) Miller indices for plane A are: a) x = 1 , y = 1 , z = 1 b) 1 / x , 1 / y , 1 / z = 1 / 1 , 1 / 1 , 1 / 1 = ( 111 ) This is shown in the diagram as follows: Coordinate of plane B: ( 1 / 2 , 0 , 1 ) , ( 1 / 2 , 0 , 0 ) , ( 0 , 1 , 0 ) Miller indices for plane B are: a) x = 1 / 2 , y = 1 , z = ∞ b) 1 / x , 1 / y , 1 / z = 2 / 1 , 1 / 1 , 1 / ∞ = ( 2 , 1 , 0 ) = ( 210 ) This is shown in the diagram as follows:

Essentials of Materials Science and Engineering, SI Edition

4th Edition

ISBN: 9781337672078

Author: ASKELAND, Donald R., WRIGHT, Wendelin J.

Publisher: Cengage Learning

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Question

Chapter 3, Problem 3.68P

Interpretation Introduction

Interpretation:

The Miller indices of planes that passes through the given coordinates needs to be calculated.

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, SI Edition

Ch. 3 - Prob. 3.1P Ch. 3 - Prob. 3.2P Ch. 3 - Prob. 3.3P Ch. 3 - Prob. 3.4P Ch. 3 - Prob. 3.5P Ch. 3 - Prob. 3.6P Ch. 3 - Prob. 3.7P Ch. 3 - Prob. 3.8P Ch. 3 - Prob. 3.9P Ch. 3 - Prob. 3.10P

Ch. 3 - Prob. 3.11P Ch. 3 - Prob. 3.12P Ch. 3 - Prob. 3.13P Ch. 3 - Prob. 3.14P Ch. 3 - Prob. 3.15P Ch. 3 - Prob. 3.16P Ch. 3 - Prob. 3.17P Ch. 3 - Prob. 3.18P Ch. 3 - Prob. 3.19P Ch. 3 - Prob. 3.20P Ch. 3 - Prob. 3.21P Ch. 3 - Prob. 3.22P Ch. 3 - Prob. 3.23P Ch. 3 - Prob. 3.24P Ch. 3 - Prob. 3.25P Ch. 3 - Prob. 3.26P Ch. 3 - Prob. 3.27P Ch. 3 - Prob. 3.28P Ch. 3 - Prob. 3.29P Ch. 3 - Prob. 3.30P Ch. 3 - Prob. 3.31P Ch. 3 - Prob. 3.32P Ch. 3 - Prob. 3.33P Ch. 3 - Prob. 3.34P Ch. 3 - Prob. 3.35P Ch. 3 - Prob. 3.36P Ch. 3 - Prob. 3.37P Ch. 3 - Prob. 3.38P Ch. 3 - Prob. 3.39P Ch. 3 - Prob. 3.40P Ch. 3 - Prob. 3.41P Ch. 3 - Prob. 3.42P Ch. 3 - Prob. 3.43P Ch. 3 - Prob. 3.44P Ch. 3 - Prob. 3.45P Ch. 3 - Prob. 3.46P Ch. 3 - Prob. 3.47P Ch. 3 - Prob. 3.48P Ch. 3 - Prob. 3.49P Ch. 3 - Prob. 3.50P Ch. 3 - Prob. 3.51P Ch. 3 - Prob. 3.52P Ch. 3 - Prob. 3.53P Ch. 3 - Prob. 3.54P Ch. 3 - Prob. 3.55P Ch. 3 - Prob. 3.56P Ch. 3 - Prob. 3.57P Ch. 3 - Prob. 3.58P Ch. 3 - Prob. 3.59P Ch. 3 - Prob. 3.60P Ch. 3 - Prob. 3.61P Ch. 3 - Prob. 3.62P Ch. 3 - Prob. 3.63P Ch. 3 - Prob. 3.64P Ch. 3 - Prob. 3.65P Ch. 3 - Prob. 3.66P Ch. 3 - Prob. 3.67P Ch. 3 - Prob. 3.68P Ch. 3 - Prob. 3.69P Ch. 3 - Prob. 3.70P Ch. 3 - Prob. 3.71P Ch. 3 - Prob. 3.72P Ch. 3 - Prob. 3.73P Ch. 3 - Prob. 3.74P Ch. 3 - Prob. 3.75P Ch. 3 - Prob. 3.76P Ch. 3 - Prob. 3.77P Ch. 3 - Prob. 3.78P Ch. 3 - Prob. 3.79P Ch. 3 - Prob. 3.80P Ch. 3 - Prob. 3.81P Ch. 3 - Prob. 3.82P Ch. 3 - Prob. 3.83P Ch. 3 - Prob. 3.84P Ch. 3 - Prob. 3.85P Ch. 3 - Prob. 3.86P Ch. 3 - Prob. 3.87P Ch. 3 - Prob. 3.88P Ch. 3 - Prob. 3.89P Ch. 3 - Prob. 3.90P Ch. 3 - Prob. 3.91P Ch. 3 - Prob. 3.92P Ch. 3 - Prob. 3.93P Ch. 3 - Prob. 3.94P Ch. 3 - Prob. 3.95P Ch. 3 - Prob. 3.96P Ch. 3 - Prob. 3.97P Ch. 3 - Prob. 3.98P Ch. 3 - Prob. 3.99P Ch. 3 - Prob. 3.100P Ch. 3 - Prob. 3.101DP Ch. 3 - Prob. 3.102DP Ch. 3 - Prob. 3.103CP Ch. 3 - Prob. 3.104CP

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