(Solved):
2. On the Cartesian axis shown below, sketch the (123) plane. 3. A certain plane \( x, y, z \) int ...
2. On the Cartesian axis shown below, sketch the (123) plane. 3. A certain plane \( x, y, z \) intercepts of \( x=4, y=1 \), and \( z=2 \). Determine the Miller Indices and sketch the plane on the Cartesian axis below. 4. The lattice constant of germanium is \( 5.65 \AA \). Determine the number of germanium atoms per \( \mathrm{cm}^{2} \) on the (110) plane. 5. Approximately how many electron-hole pairs per \( \mathrm{cm}^{-3} \) are there in silicon at room temperature? What happens when the temperature increases above room temperature?
2) The Miller indices are given by (123). Therefore, the intercepts at x, y and z axis given respectively as a, b and c are the reciprocals of the Miller indices. That means x intercept, a = 1/1 = 1 y intercept, b = 1/2 = 0.5 z intercept, c = 1/3 = 0