1) A body-centered cubic lattice has a lattice constant of 4.83 . A plane cutting the lattice has intercepts of 9.66 , 19.32 , and 14.49 along the three cartesian coordinates. What are the Miller indices of the plane? 2) A crystal with a simple cubic lattice and a monoatomic basis has an atomic radius of 2.5 X and an atomic weight of 5.42g/mol. Calculate its density, assuming that the atoms touch each other. 3) A simplified E versus k curve for a hole in the valence band is given. Assume a value of a = 12 . Determine the relative effective mass | m*/mo.. E 0 The a E, E = E, - 0.875 eV 4) For a free electron, calculate the density of quantum states (#/cm?) over the energy range of 0