Concept explainers
The Miller-Bravais direction indices of the
Answer to Problem 55AAP
The Miller-Bravais Direction indices of the vector OA is
The Miller-Bravais Direction indices of the vector OB is
The Miller-Bravais Direction indices of the vector OC is
The Miller-Bravais Direction indices of the vector OD is
The Miller-Bravais Direction indices of the vector OE is
The Miller-Bravais Direction indices of the vector OF is
Explanation of Solution
For finding the Miller-Bravais direction indices we need coordinates of intercept of the plane. By using the method of indices the intercept
Coordinate of intercept of the vectors OA is
Coordinate of intercept of the vectors OB is
Coordinate of intercept of the vectors OC is
Coordinate of intercept of the vectors OD is
Coordinate of intercept of the vectors OE is
Coordinate of intercept of the vectors OF is
By using these intercept we will find the Miller-Bravais direction indices.
Conclusion:
Direction vector originating at the centre of the lower basal plane and ending at the end point of the upper basal plane for a Hexagonal closed packed unit cell.
Figure-(1)
The given closed packing is Hexagonal closed packing and the direction vector of the planes are shown in figure-1. Here, the originating vector at the centre of the lower basal plane and ending at the end point of the upper basal plane for a Hexagonal closed packed unit cell is defined in the figure-1
Miller-Bravais direction Indices for the Direction vector are tabulated below.
Direction Vector | Co-ordinates of intercepts | Reciprocal of intercept | Direction indices |
OA | |||
OB | |||
OC | |||
OD | |||
OE | |||
OF |
The Miller-Bravais Direction indices of the vector OAis
The Miller-Bravais Direction indices of the vector OB is
The Miller-Bravais Direction indices of the vector OC is
The Miller-Bravais Direction indices of the vector OD is
The Miller-Bravais Direction indices of the vector OE is
The Miller-Bravais Direction indices of the vector OF is
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Chapter 3 Solutions
Foundations of Materials Science and Engineering
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