4. Silicon crystallizes in the diamond structure. The lowest conduction band is at a A-point of the fcc Brillouin zone 0

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4 Silicon Crystallizes In The Diamond Structure The Lowest Conduction Band Is At A A Point Of The Fcc Brillouin Zone 0 1 (405.91 KiB) Viewed 8 times

4. Silicon crystallizes in the diamond structure. The lowest conduction band is at a A-point of the fcc Brillouin zone 0.85 of the distance from I to X along a (100) direction, and its equivalent directions. Six (6) ellipsoidal constant energy surfaces (ellipsoids of revolution) are formed, following the dispersion relation: ħ²k² ħ² (k)+k E(k)= + 2m, 2m, where my is the longitudinal effective mass component along the IX direction and m, is the -= 0.98 and = 0.19 transverse effective mass component perpendicular to this direction. For mo m₁ m₁ mo find the contribution to the electrical conductivity from a single carrier pocket (labeled 1) in the figure for the following cases (a) The electric field ELI(001) (b) ELI(111) 10:14 sec is the relaxation Assume that each carrier pocket contains 1018 electrons/cm³ and t = time. The figure shows the ellipsoidal energy surfaces of silicon corresponding to conduction band carrier pockets along the six (100) directions.