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old_exam2 - Problem 1(20 points{5(5(10 a b C Find themiller...

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Unformatted text preview: Problem 1 (20 points) {5) (5) (10) a. b. C. Find themiller indices of the plane shown below: 2 Find the packing density (maximum portion of a unit cell that can be occupied by atoms) of the diamond lattice shown below: Indium Phosphite (In?) has zinc-blende (diamond-like) lattice structure with lattice constant a = 5.87 A° (= 5.87 x 10’10 n1). Knowing that the atomic weights of Inqand P are 114.8 g and 31.0 g, respectively, find the density of InP in units of g/crn . Problem 2 (35 points) A 1 cm long bar of InP with cross sectional area of 100 pm2 is doped with 10M cm”3 S atoms, 3x1014 0111'3 Se atoms, and 1014 cm‘3 Zn atoms. Use the portion of the periodic table shown below to answer the following questions for this bar of lnP: (5) a. Specify whether the added dopants (S. 86. and Zn) act like donors, acceptors. or amphoteric dopants. (8) b. Find electron and hole concentration (n and p) at T=300 K. (3)“ ' c. Is this samplemtype OPP—4W5? (7) d. Find the location of EF relative to Bi and draw the energy band diagram. (5) e. What other dopant (except S, Se, and Zn) and with what concentration can be added to the bar to make it act like an intrinsic sample. (7) f. If a 10 V voltage is applied to the sample (as shown below), what is the current passing though the bar? For InP at T=300 K, n; =5 x 106 cm'3, pn= 4000 cmz/(Vsec), and pp=100 cm2/(V.sec), and E2 = 1.35 eV. , ‘ Probiem 3 (25 points) The energy band diagram for a Si sample at room temperature (T = 300 K) is shown below. Using the energy-band diagram, answer the following questions: (5) a. Plot the electrostatic-potential (V) in the range —L < x < L. (5) b. Find and plot the electric field (8), in the range —L < x < L. (5) c. Find and plot electron concentration (n), in the range —-L < x < L. (5) d. Plot the electron diffusion current Imam, in the range -L < x < L. (5) C. Is this sample n-type or p-type? Why? For Si at room temperature, ni = 10") urn"3 anq J11! _= 13__59_cr:r12/(V.sec). Problem 4 (20 points) In the circuit shown below, find the transfer function v°(s)/v5(s). ...
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