2 Miscellaneous I (a) A certain metal has a BCC crystal structure, a density of 5.96 g/cm³, and an atomic weight of 50.9 g/mol. Calculate the atomic radius. (b) Compute the interplanar spacing for the (111) set of planes for this metal. Are these planes close- packed? (c) Determine the expected diffraction angle for this (111) set of planes when monochromatic radiation of wavelength 0.154 nm is used.

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
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2 Miscellaneous I
(a) A certain metal has a BCC crystal structure, a density of 5.96 g/cm³, and an atomic weight of 50.9
g/mol. Calculate the atomic radius.
(b) Compute the interplanar spacing for the (111) set of planes for this metal. Are these planes close-
packed?
(c) Determine the expected diffraction angle for this (111) set of planes when monochromatic radiation
of wavelength 0.154 nm is used.
(d) What is the metal used in this problem?
Transcribed Image Text:2 Miscellaneous I (a) A certain metal has a BCC crystal structure, a density of 5.96 g/cm³, and an atomic weight of 50.9 g/mol. Calculate the atomic radius. (b) Compute the interplanar spacing for the (111) set of planes for this metal. Are these planes close- packed? (c) Determine the expected diffraction angle for this (111) set of planes when monochromatic radiation of wavelength 0.154 nm is used. (d) What is the metal used in this problem?
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Step 1: Determine the given data

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Density comma straight rho equals 5.96 space straight g divided by cm cubed
Atomic space weight comma straight M equals 50.9 space straight g divided by mole
To space determine colon
straight a right parenthesis The space atomic space radius
straight b right parenthesis The space interplanar space spacing space for space the space open parentheses 1 space 1 space 1 close parentheses space planes
straight c right parenthesis The space expected space diffr a ction space angle space if space wavelength space is space 0.154 space nm

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