2) Show that the reciprocal lattice to the set of FCC primitive lattice vectors: a₁ (8 + 2), a₂ = 2 (2+8), a3 = (8 + 9). 2 Is: b₁ 4π 1 42 (8+2-8), b₂ == a 4T 1 a 2 (2 + 8 − 9), b₁ = 47² 1⁄2 (8 + 8 − 2) This is a bcc lattice with side of the cubic cell 4t/a.

We have a piece of Si (shown below) with dimensions 50 um x 200 um x 0.25 um. The Silicon is doped uniformly with ND = 1014 cm3. What is the resistance of the slab when measured along the length (200 um)? %3| If a light with photonic energy greater than the bandgap of Si were to be shone from the top surface such that it produces uniform hole-electron pairs Ap =An = 5E12 cm-3 throughout the slab, what would be the ratio of the illuminated conductivity vs the dark conductivity? What is the ratio of conductivity due to holes vs the conductivity due to electrons under illumination? How about in the dark? 200 Nm

H1.

View a system of two particles that do not interact with each other, where each particle can occupy three possible states, each with energy &, 2ɛ, 3E (i) Marwell-Boltzmann: Na. Configuration 1 2 3 4 S 6 7 2 9 Nader Conligation 1 2 2 + 1 2 5 6 (1) Fermi-Dirac 3 No. Configuration E AG A A B B AA A A Distinguishable 28 E AB (6) Boson: Base- Ginstein: Indistinguishable င် A A B A A 8 28 AA A A 38 A 2 A AB B A CO B A JE AA A A Energy system A A wwwww Indistinguishable We know formion follow exclusion principle. 28 38 Smarty tem 28 32 38 4E SE SE Energy system 22 48 68 38 48 SE 38 4€ SE Calculate the average energy of the system as a temperature function for the three statistics above.