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1- What is the difference between Atomic Energy levels and Crystal
Energy Bonds? How Energy Band are formed? !:

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2. Next nearest neighbor interactions. Consider a monatomic lattice. The potential energy of the crystal system, modeled as a linear chain of atoms is UpE. = 1/(2a)E, where n runs over all the atoms in the chain and r, is the net displacement of the n'th atom. (a) Show that if the atom is interacting with p atoms on either side instead of one (as we discussed in class), the the force acting on the n'th atom is given by, F, = -E,(un – Un+p); where a, represents the force constant between atoms numbered n and n + p. (b) Let's now consider an atom interacting with four neighboring atoms, two on each side (i.e., p= 2). If a and m have the usual meanings, show that the dispersion relation is given by, 4a w² = () sin" () (1 + 4cos" (). ga ga (c) Plot this dispersion relation, comparing it with the dispersion involving only nearest neighbor interactions. Label your axes and edges of the Brillouin zone appropriately.
8. What is the selection rule for a rigid diatomic molecule to show rotational spectrum? TATL
31) Band Diagram and Carrier Concentration From the following band diagram of Si a. What are the equilibrium hole and electron concentration, po and no , at 300K? b. What is the doping? Give an example of a doping species? c. Repeat (a and b) for 500K? What is difference at higher temperature? d. Calculate Ef-Ev at 300K if the sample was Ge? What is the main difference?
How many electrons can be held in a d-sub shell at a maximum? Options are A. 6 B.10 C.8 D.14 E.2
Which of the following lattice structure is the? reciprocal Lattice of FCC lattice FCC .a O BCC .b O HCP .C O SC .d O
1- Write the electronic configuration of the Oxygen 2- What is hybridization in SiCl? The atomic number of Si is 14 3- State and explain the Factors that affecting the ionization energy 4- Is it possible for an orbital to have more than 2 electrons? Why?
Below is the LCAO for the sp3 hybrid orbital. What is the value for the c²? (The answer mus be a number, not a fraction) Ya = C($25 +02p₂ +$2p, + $2p:) 2Px
2. A silicon p-n step junction diode is doped with No = 10¹6 cm-³ and No = 4 x 1018 cm-³ on the n side and p side, respectively. Calculate the build-in potential, space charge width, and maximum field at zero bias at room temperature.
28 2. Calculate the Fermi energy for the valence electrons in sodium metal given that the valency of sodium is one, the density of sodium is 0.97 g cm-3, the mass of the electron is 9.05 × 10-²8 g, Planck's constant is 6.62 x 10-27 erg sec, Avogadro's number is 6-025 × 10²³ per gramme molecule and the atomic weight of sodium metal is 23. (Ans: €(0) = 3-12 eV, T≈ 37,000°K.) 73
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