(a) Consider an area formed by the close packing of circles. Calculate the area fraction of circles in a close-packed layer, a portion of which is shown below. Each circle has a radius R. Note: This is similar in principle to the atomic packing factor, but instead calculated in two dimensions; compute the fraction of area that the circles occupy of the total area. (b) Calculate the area fraction of a close-packed layer of circles of radius R with smaller atoms of radius r in each interstitial site. Note: r occupies a triangular interstitial site; therefore, r = 0.155R. :**
(a) Consider an area formed by the close packing of circles. Calculate the area fraction of circles in a close-packed layer, a portion of which is shown below. Each circle has a radius R. Note: This is similar in principle to the atomic packing factor, but instead calculated in two dimensions; compute the fraction of area that the circles occupy of the total area. (b) Calculate the area fraction of a close-packed layer of circles of radius R with smaller atoms of radius r in each interstitial site. Note: r occupies a triangular interstitial site; therefore, r = 0.155R. :**
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
Related questions
Question
Transcribed Image Text:(a) Consider an area formed by the close packing of circles. Calculate the area fraction of
circles in a close-packed layer, a portion of which is shown below. Each circle has a radius
R.
Note: This is similar in principle to the atomic packing factor, but instead calculated in two
dimensions; compute the fraction of area that the circles occupy of the total area. •
(b) Calculate the area fraction of a close-packed layer of circles of radius R with smaller atoms
of radius r in each interstitial site.
Note: r occupies a triangular interstitial site; therefore, r = 0.155R. :**
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 3 images
Recommended textbooks for you
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning