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Determine the Miller indices for the planes shown in the following cubic unit ce

ID: 1717274 • Letter: D

Question

Determine the Miller indices for the planes shown in the following cubic unit cell. In this problem, you are asked to determine the Miller indices for the planes shown in this unit cell. Start with plane B. Since the plane does not pass through the origin, use the coordinate system shown. What are the intersections of this plane with the coordinate axes What is the intercept of this plane with x-axis What is the intercept of this plane with y-axis What is the intercept of this plane with z-axis The parts of this question must be completed in order. The part will be available when you complete the part above.

Explanation / Answer

>> For Plane B,

As seen from the figure, intercepts of plane B are :- (1/2 , 1/3 , )

>> As Miller Indices for a plane having intercepts (a , b, c) is (1/a , 1/b , 1/c)

=> Miller Indices for Plane B = (1/(1/2) , 1/(1/3) , (1/) )   = (2, 3, 0)

>> Part 1

a). Intercept of Plane B on X-Axis = 1/2

b). Intercept of Plane B on Y-Axis = 1/3

c). Intercept of Plane B on Z-Axis = , i.e. there is no intersection of z-axis and plane B

>> For Plane A,

>> As seen from the figure, its intercepts on axis are:- (1, 1, -1)

=> Miller Indices of Plane A = (1, 1, -1)

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