Question

In: Electrical Engineering

1) Within a cubic unit cell on which you have labeled the x, y and z-axes:...

1) Within a cubic unit cell on which you have labeled the x, y and z-axes:

a) Sketch the (110) plane.

b) Sketch a direction from the <100> family that is also on the (110) plane. Label its direction indices.

c) Sketch a direction from the <110> family that is also on the (110) plane. Label its direction indices.

d) Sketch a direction from the <111> family that is also on the (110) plane. Label its direction indices.

2) Make scale drawings of each of the following segments of directions in silicon (lattice constant is 0.543 nm), using circles to represent each of the atoms whose centers are on the segment. The radii of the circles should also be drawn to scale, so that any nearest neighbor atoms touch (if there are any nearest neighbors in that drawing). Place an atom at each end of each segment. Clearly label the separation distance between the centers of each atom on the line segment.

a) A segment 1.086 nm long in the [100] direction.

b) A segment 1.536 nm long in the [110] direction.

c) A segment 1.881 nm long in the [111] direction.

Solutions

Expert Solution

1. Within a cubic unit cell on which we have labeled the x, y and z-axes :

(a) Sketch the (110) plane.

(b) Sketch a direction from the <100> family that is also on the (110) plane. Label its direction indices.

, , , , ,

(c) Sketch a direction from the <110> family that is also on the (110) plane. Label its direction indices.

, , , , ,

(d) Sketch a direction from the <111> family that is also on the (110) plane. Label its direction indices.

, , ,


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