question 2. Please explain the concept and show all the steps. Thank you! List a
ID: 998115 • Letter: Q
Question
question 2. Please explain the concept and show all the steps. Thank you!
List all dillcrent orientations of planes in a tetragonal crystal which have Miller indicts that are permutations of plusminus 1, plusminus 1, and 0. Group them into families of planes A tetragonal crystal have constants a =3 A, c 7 A. Calculate the d-spacing of (110) and (101) planes, and the angle between the two planes. Calculate linear density (LD) on and directions of an fCc lattice as a function of atomic radius R which direction has the highest LD?Explanation / Answer
2)
Part 1 : d-spacing
1/d2 = (h2+k2)/a2 + l2/c2
For plane 1:
(11-0)
1/d2 = (12+12)/32 + 02/72
d2 = 9/2 = 4.5 Å2
d = 2 Å
For plane 2:
(101)
1/d2 = (12+02)/32 + 12/72 = 1/9 + 1/49
d2 = 9/2 = 7.60 Å2
d = 3 Å
Part 2 :
cos = ( ((h1h2+k1k2)/a2) + l1l2/c2 ) / ( (h12+k12/a2 + l12/c2) * (h22+k22/a2 + l22/c2) )(1/2)
cos = (1/9 + 0/49) / ( (2/9 + 0/49) * (1/9 + 1/49) )(1/2)
cos = 0.6499
= 0.8633
= 49.50
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