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please help me Crystal structures and Defects Determine the crystallographic pla

ID: 2115049 • Letter: P

Question

please help me

Crystal structures and Defects Determine the crystallographic plane and direction within the cubic unit cells shown in Figure 2. Write down all the necessary steps you followed to arrive at your results. The origin of the unit cell in Figure 2b is indicated by the letter "O". Figure 2 Crystallographic plane (a) and direction (b) within the cubic unit cells.

Explanation / Answer

(a) the intercepts are 1/2 3/4 1. reciprocals are 2 4/3 1. trying to make them integers by multiplying with 3 => 6 4 3 therefore crystallographic plane is (6 4 3) (b) co ordinates of head = 1 1 0. co ordinates of tail = 0 0 0. the directions are (1-0) (1-0) (0-0) therefore crystallographic direction is [1 1 0]