What is the angle between the [200] and [200] directions in a lead with an FCC crystal structure?

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
icon
Related questions
Question
100%
What is the angle between the [200] and [200] directions in a lead with an FCC crystal structure?
Expert Solution
Step 1: Determine the angle between [200] and [200].

Formula used:

The expression for the angle ϕ between open square brackets h subscript 1 k subscript 1 l subscript 1 close square brackets and open square brackets h subscript 2 k subscript 2 l subscript 2 close square brackets is,

cos ϕ equals fraction numerator h subscript 1 h subscript 2 plus k subscript 1 k subscript 2 plus l subscript 1 l subscript 2 over denominator square root of h subscript 1 superscript 2 plus k subscript 1 superscript 2 plus l subscript 1 superscript 2 end root cross times square root of h subscript 2 superscript 2 plus k subscript 2 superscript 2 plus l subscript 2 superscript 2 end root end fraction

Process to find the angle ϕ.

Find the value of h subscript 1 comma k subscript 1 comma l subscript 1 comma h subscript 2 comma k subscript 2 and l subscript 2.

Substitute the value and calculate the value of ϕ.

steps

Step by step

Solved in 3 steps with 10 images

Blurred answer
Knowledge Booster
Principal Metallic Crystal Structures and Crystal Structure Analysis
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
Elements Of Electromagnetics
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
Mechanics of Materials (10th Edition)
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Thermodynamics: An Engineering Approach
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
Control Systems Engineering
Control Systems Engineering
Mechanical Engineering
ISBN:
9781118170519
Author:
Norman S. Nise
Publisher:
WILEY
Mechanics of Materials (MindTap Course List)
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning
Engineering Mechanics: Statics
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:
9781118807330
Author:
James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:
WILEY