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.

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter7: Analysis Of Stress And Strain
Section: Chapter Questions
Problem 7.7.14P: Solve the preceding problem for the following data: x=1120106,y=430106,xy=780106,and=45.
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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
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°
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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