Crystallographic planes 1. Identify all crystallographic planes comprising "0" atom and a pair of red atoms in silicon unit cell. 2. Find directions perpendicular to these planes. Crystallographic planes Crystallographic planes are denoted by Miller indices. 5b Algorithm for Miller indices 1. Read off intercepts of plane with axes in terms of a, b, c 2. Take reciprocals of intercepts 3. Reduce to smallest integer values 4. Enclose in parentheses, no commas. 353 1/3 1/5 1/3 535 (535) In the cubic system, a plane and a direction with the same indices are orthogonal. E.g. [100] direction is perpendicular to (100) plane. Correspondingly, [123] direction is perpendicular to (123) plane. [2,3,3] Plane intercepts axes at 3a, 2b, 2c 2 11 1 Reciprocal numbers are: 3'2'2 b. Indices of the plane (Miller): (2,3,3) 2 a Indices of the direction: [2,3,3] X (200) (100) (110) (111) (100) Indices of crystallographic plane can be found from cross product of indices of any two non-parallel directions in this plane.
Crystallographic planes 1. Identify all crystallographic planes comprising "0" atom and a pair of red atoms in silicon unit cell. 2. Find directions perpendicular to these planes. Crystallographic planes Crystallographic planes are denoted by Miller indices. 5b Algorithm for Miller indices 1. Read off intercepts of plane with axes in terms of a, b, c 2. Take reciprocals of intercepts 3. Reduce to smallest integer values 4. Enclose in parentheses, no commas. 353 1/3 1/5 1/3 535 (535) In the cubic system, a plane and a direction with the same indices are orthogonal. E.g. [100] direction is perpendicular to (100) plane. Correspondingly, [123] direction is perpendicular to (123) plane. [2,3,3] Plane intercepts axes at 3a, 2b, 2c 2 11 1 Reciprocal numbers are: 3'2'2 b. Indices of the plane (Miller): (2,3,3) 2 a Indices of the direction: [2,3,3] X (200) (100) (110) (111) (100) Indices of crystallographic plane can be found from cross product of indices of any two non-parallel directions in this plane.
Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Chapter6: Power Flows
Section: Chapter Questions
Problem 6.12MCQ
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Transcribed Image Text:Crystallographic planes
1. Identify all crystallographic planes comprising "0" atom and a pair of red atoms in
silicon unit cell.
2. Find directions perpendicular to these planes.
![Crystallographic planes
Crystallographic planes are denoted by Miller indices.
5b
Algorithm for Miller indices
1. Read off intercepts of plane with axes in
terms of a, b, c
2. Take reciprocals of intercepts
3. Reduce to smallest integer values
4. Enclose in parentheses, no commas.
353
1/3 1/5 1/3
535
(535)
In the cubic system, a plane and a
direction with the same indices are
orthogonal. E.g. [100] direction is
perpendicular to (100) plane.
Correspondingly, [123] direction is
perpendicular to (123) plane.
[2,3,3]
Plane intercepts axes at 3a, 2b, 2c
2
11 1
Reciprocal numbers are:
3'2'2
b.
Indices of the plane (Miller): (2,3,3)
2
a
Indices of the direction: [2,3,3]
X
(200)
(100)
(110)
(111)
(100)
Indices of crystallographic plane can be found from cross product of indices of
any two non-parallel directions in this plane.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fce0afc3b-3e57-4487-b673-cf6f07e8890b%2Fdb0f6feb-e67e-43c4-bbc4-94a56d6c9e53%2Fle5d87c_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Crystallographic planes
Crystallographic planes are denoted by Miller indices.
5b
Algorithm for Miller indices
1. Read off intercepts of plane with axes in
terms of a, b, c
2. Take reciprocals of intercepts
3. Reduce to smallest integer values
4. Enclose in parentheses, no commas.
353
1/3 1/5 1/3
535
(535)
In the cubic system, a plane and a
direction with the same indices are
orthogonal. E.g. [100] direction is
perpendicular to (100) plane.
Correspondingly, [123] direction is
perpendicular to (123) plane.
[2,3,3]
Plane intercepts axes at 3a, 2b, 2c
2
11 1
Reciprocal numbers are:
3'2'2
b.
Indices of the plane (Miller): (2,3,3)
2
a
Indices of the direction: [2,3,3]
X
(200)
(100)
(110)
(111)
(100)
Indices of crystallographic plane can be found from cross product of indices of
any two non-parallel directions in this plane.
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