Determine the expected diffraction angle for the first-order reflection from the (113) set of planes for FCC platinum when monochromatic radiation of wavelength 0.1542 nm is used.
Determine the expected diffraction angle for the first-order reflection from the (113) set of planes for FCC platinum when monochromatic radiation of wavelength 0.1542 nm is used.
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
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how do u know to use molybdenum?
![Determine the expected diffraction angle for the first-order reflection from the (113) set of planes for FCC platinum when
monochromatic radiation of wavelength 0.1542 nm is used.
Step-by-step solution
Step 1 of 3
Given:
Plane: (113)
Material: FCC Platinum
2=0.1542 nm
n = 1
According to 's law,
2=2d sin 0
--(1)
In case of Cubic unit cell, inter planar spacing is given by
a
d =
--(2)
Step 2 of 3
From table 3.1, the atomic radius, R for Molybdenum is
R = 0.1387 nm
For FCC,
a=2R/2
=2x0.1387× /2
=0.3923 nm
From equation (2), the inter planar spacing for (111) set of planes is
0.3923
d =-
Vi? +1² +3?
0.3923
V11
=0.1183 nm](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd57cf797-2f79-4076-b10d-b851ecdf8b77%2Faa6afbc3-ad26-4575-976b-4ed710aa6040%2Fdccthmm_processed.png&w=3840&q=75)
Transcribed Image Text:Determine the expected diffraction angle for the first-order reflection from the (113) set of planes for FCC platinum when
monochromatic radiation of wavelength 0.1542 nm is used.
Step-by-step solution
Step 1 of 3
Given:
Plane: (113)
Material: FCC Platinum
2=0.1542 nm
n = 1
According to 's law,
2=2d sin 0
--(1)
In case of Cubic unit cell, inter planar spacing is given by
a
d =
--(2)
Step 2 of 3
From table 3.1, the atomic radius, R for Molybdenum is
R = 0.1387 nm
For FCC,
a=2R/2
=2x0.1387× /2
=0.3923 nm
From equation (2), the inter planar spacing for (111) set of planes is
0.3923
d =-
Vi? +1² +3?
0.3923
V11
=0.1183 nm
![From equation (1),
0.1542=2x0.1183sin 0
sin 0=0.6517
0= 40.69°
.: 20 =81.38°](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd57cf797-2f79-4076-b10d-b851ecdf8b77%2Faa6afbc3-ad26-4575-976b-4ed710aa6040%2F338lol_processed.png&w=3840&q=75)
Transcribed Image Text:From equation (1),
0.1542=2x0.1183sin 0
sin 0=0.6517
0= 40.69°
.: 20 =81.38°
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