Show your all work (2) A hypothetical tetrahedral crystal has thefollowing lattice parameters:B = y = 90°.Please write the indices of all planes/directions that belong to the family of (i) {100}a = b = 0.40 nm, c = 0.5 nm, a =and (ii)<001>

Answered: (2) A hypothetical tetrahedral crystal…

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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Show your all work

(2) A hypothetical tetrahedral crystal has the
following lattice parameters:
B = y = 90°.
Please write the indices of all planes/directions that belong to the family of (i) {100}
a = b = 0.40 nm, c = 0.5 nm, a =
and (ii)
<001>

Expert Solution

Step 1

Miller indices is a group of three numbers that indicates the orientation of a plane or set of parallel planes of atoms in a crystal. They are used to specify directions and planes.

Given,

$a = b = 0.40 n m, c = 0.5 n m α = β = γ = 90 °$

Here, a=b, but not equal to c, and all the angle are 90, therefore it belongs to the tetragonal crystal system.

The indices belongs to same family when they have same linear density same in all directions.

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