1) Within a cubic unitcell on which you have labeled the x, y and z-axes:
a) Sketch the (110)plane.
b) Sketch a directionfrom the <100> family that is also on the (110) plane. Labelits direction indices.
c) Sketch a directionfrom the <110> family that is also on the (110) plane. Labelits direction indices.
d) Sketch a directionfrom the <111> family that is also on the (110) plane. Labelits direction indices.
2) Make scale drawings of each of the following segments ofdirections in silicon (lattice constant is 0.543 nm), using circlesto represent each of the atoms whose centers are on the segment.The radii of the circles should also be drawn to scale, so that anynearest neighbor atoms touch (if there are any nearest neighbors inthat drawing). Place an atom at each end of each segment. Clearlylabel the separation distance between the centers of each atom onthe line segment.
a) A segment 1.086 nmlong in the [100] direction.
b) A segment 1.536 nmlong in the [110] direction.
c) A segment 1.881 nmlong in the [111] direction.
