Foundations of Materials Science and Engineering
Foundations of Materials Science and Engineering
6th Edition
ISBN: 9781259696558
Author: SMITH
Publisher: MCG
bartleby

Concept explainers

Question
Book Icon
Chapter 3.15, Problem 53AAP

(a)

To determine

The Miller-Bravais indices of the hexagonal crystal plane, a.

The Miller-Bravais indices of the hexagonal crystal plane, b.

The Miller-Bravais indices of the hexagonal crystal plane, c.

(a)

Expert Solution
Check Mark

Answer to Problem 53AAP

The Miller-Bravais indices of the hexagonal crystal plane, a is (01¯10).

The Miller-Bravais indices of the hexagonal crystal plane, b is (101¯2).

The Miller-Bravais indices of the hexagonal crystal plane, c is (2¯200).

Explanation of Solution

For plane a the intercepts are a1=,a2=1,a3=1andc=.

For plane b the intercepts are a1=1,a2=,a3=1,andc=12.

And for plane c the intercepts are a1=12,a2=12,a3=andc=

Miller-Bravais Indices for Planes are shown in table.

 Planer InterceptsReciprocals of InterceptsMiller-Bravais Indices
Plane-a(,1,1,)(0,1,1,0)(01¯10)
Plane-b(1,,1,12)(1,0,1,2)(101¯2)
Plane-c(12,12,,)(2,2,0,0)(2¯200)

The Miller-Bravais indices of the hexagonal crystal plane, a is (01¯10).

The Miller-Bravais indices of the hexagonal crystal plane, b is (101¯2).

The Miller-Bravais indices of the hexagonal crystal plane, c is (2¯200).

(b)

To determine

The Miller-Bravais indices of the hexagonal crystal plane, a.

The Miller-Bravais indices of the hexagonal crystal plane, b.

The Miller-Bravais indices of the hexagonal crystal plane, c.

(b)

Expert Solution
Check Mark

Answer to Problem 53AAP

The Miller-Bravais indices of the hexagonal crystal plane, a is (011¯0).

The Miller-Bravais indices of the hexagonal crystal plane, b is (11¯01).

The Miller-Bravais indices of the hexagonal crystal plane, c is (11¯01).

Explanation of Solution

The coordinates of intercepts for plane-a is (,1,1,), the coordinates of intercepts for plane-b is (1,1,,1) and the coordinates of intercepts for plane-c is (1,1,,1).

For plane a the intercepts are a1=,a2=1,a3=1andc=.

For plane b the intercepts are a1=1,a2=1,a3=,andc=1.

And for plane c the intercepts are a1=1,a2=1,a3=andc=1.

Conclusion:

Miller-Bravais Indices for Planes are shown in table below.

PlanesPlaner InterceptsReciprocals of InterceptsMiller-Bravais Indices
Plane-a(,1,1,)(0,1,1,0)(011¯0)
Plane-b(1,1,,1)(1,1,0,1)(11¯01)
Plane-c(1,1,,1)(1,1,0,1)(11¯01)

The Miller-Bravais indices of the hexagonal crystal plane, a is (011¯0).

The Miller-Bravais indices of the hexagonal crystal plane, b is (11¯01).

The Miller-Bravais indices of the hexagonal crystal plane, c is (11¯01).

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!
Students have asked these similar questions
question j620 Find the Miller indices of each crystallographic plane
Given the crystal plane, give the miller index
In a cubic crystal, draw any three (3) parallel planes and determine their miller indices.

Chapter 3 Solutions

Foundations of Materials Science and Engineering

Ch. 3.15 - Prob. 11KCPCh. 3.15 - Prob. 12KCPCh. 3.15 - Prob. 13KCPCh. 3.15 - Prob. 14KCPCh. 3.15 - Prob. 15KCPCh. 3.15 - Prob. 16KCPCh. 3.15 - Prob. 17KCPCh. 3.15 - Prob. 18KCPCh. 3.15 - Prob. 19KCPCh. 3.15 - Prob. 20KCPCh. 3.15 - Prob. 21KCPCh. 3.15 - Prob. 22KCPCh. 3.15 - Prob. 23KCPCh. 3.15 - Prob. 24AAPCh. 3.15 - Prob. 25AAPCh. 3.15 - Prob. 26AAPCh. 3.15 - Prob. 27AAPCh. 3.15 - Prob. 28AAPCh. 3.15 - Prob. 29AAPCh. 3.15 - Prob. 30AAPCh. 3.15 - Prob. 31AAPCh. 3.15 - Prob. 33AAPCh. 3.15 - A direction vector passes through a unit cube from...Ch. 3.15 - Prob. 36AAPCh. 3.15 - Prob. 37AAPCh. 3.15 - Prob. 38AAPCh. 3.15 - Prob. 41AAPCh. 3.15 - Prob. 42AAPCh. 3.15 - Prob. 43AAPCh. 3.15 - Prob. 44AAPCh. 3.15 - Prob. 45AAPCh. 3.15 - Prob. 46AAPCh. 3.15 - Prob. 47AAPCh. 3.15 - Rodium is FCC and has a lattice constant a of...Ch. 3.15 - Prob. 49AAPCh. 3.15 - Prob. 50AAPCh. 3.15 - Prob. 51AAPCh. 3.15 - Prob. 52AAPCh. 3.15 - Prob. 53AAPCh. 3.15 - Prob. 54AAPCh. 3.15 - Prob. 55AAPCh. 3.15 - Determine the Miller-Bravais direction indices of...Ch. 3.15 - Determine the Miller-Bravais direction indices of...Ch. 3.15 - Prob. 58AAPCh. 3.15 - Prob. 59AAPCh. 3.15 - Prob. 60AAPCh. 3.15 - Prob. 61AAPCh. 3.15 - Prob. 62AAPCh. 3.15 - Prob. 63AAPCh. 3.15 - Prob. 64AAPCh. 3.15 - Prob. 65AAPCh. 3.15 - Prob. 66AAPCh. 3.15 - Prob. 67AAPCh. 3.15 - Prob. 68AAPCh. 3.15 - Prob. 69AAPCh. 3.15 - Prob. 70AAPCh. 3.15 - Prob. 71AAPCh. 3.15 - Prob. 72AAPCh. 3.15 - Prob. 73AAPCh. 3.15 - Prob. 74SEPCh. 3.15 - Prob. 75SEPCh. 3.15 - Prob. 76SEPCh. 3.15 - Assuming that the volume of an HCP metal cell...Ch. 3.15 - Prob. 79SEPCh. 3.15 - Prob. 80SEPCh. 3.15 - Prob. 81SEPCh. 3.15 - Prob. 82SEPCh. 3.15 - Prob. 83SEPCh. 3.15 - Prob. 84SEPCh. 3.15 - Prob. 85SEPCh. 3.15 - Prob. 86SEPCh. 3.15 - Prob. 87SEPCh. 3.15 - Prob. 88SEPCh. 3.15 - Prob. 89SEPCh. 3.15 - Prob. 90SEPCh. 3.15 - Prob. 91SEPCh. 3.15 - Prob. 92SEPCh. 3.15 - Prob. 93SEPCh. 3.15 - Prob. 94SEPCh. 3.15 - Prob. 95SEPCh. 3.15 - Prob. 96SEP
Knowledge Booster
Background pattern image
Mechanical Engineering
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.
Similar questions
SEE MORE QUESTIONS
Recommended textbooks for you
Text book image
Welding: Principles and Applications (MindTap Cou...
Mechanical Engineering
ISBN:9781305494695
Author:Larry Jeffus
Publisher:Cengage Learning
Text book image
Understanding Motor Controls
Mechanical Engineering
ISBN:9781337798686
Author:Stephen L. Herman
Publisher:Delmar Cengage Learning