Explanation BCC structure has a lattice dimension of a 0 = 4 r / 3 Where r = atom radius Linear density is reciprocal of repeat distance. Linear density = 1 / a 0 For direction 〈 100 〉 Repeat distance is a 0 Linear density = 1 / a 0 = 3 / 4 r For direction 〈 110 〉 , Repeat distance is 2 a 0 Linear density =&#

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 3.69P

Interpretation Introduction

Interpretation:

The linear densities of 〈100〉, 〈110〉, 〈111〉 direction in BCC structure needs to be calculated and compared to determine the most close packed direction.

Concept introduction:

Linear density is the number of lattice points per unit length along the direction. The three indices for the 3 directions are given, the linear density can be compared for directions using the repeated distance. The most close-packed direction is the more dense.

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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