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12.
12 How many atoms are there in FCC?
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- The measured density of a CsCl crystal is 3.988 g/cm3. What is the equilibrium separate distance of Cs+ and Cl- ions?3. a) Sketch the band diagram for intrinsic Si at T>0 K. b) Label the conduction and valence bands, and Ec, Ev, Eg- c) State the numerical value for Eg.A gas-phase ¹H¹27I molecule, with a bond length of 160.92 pm, rotates in three-dimensional space. a. Calculate the zero point energy associated with this rotation. b. What is the smallest quantum of energy that can be absorbed by this molecule in a rotational excitation?
- 11. a) Determine which planes in an fcc structure have the highest density of atoms. b) Evaluate this density in atoms/cm² for Cu. 12. Repeat Problem 11 for Fe, which has a bcc structure. 13. Show that the maximum packing ratio in the diamond structure is n/3/16. [Hint: The structure may be viewed as two interpenetrating fcc lattices, arranged such that each atom is surrounded by four other atoms, forming a regular tetrahedron.]A silicon p-n junction consists of a p-type region containing 3x1016 cm-3 acceptors and an n- type region containing also 1017 cm-3 donors. a. Calculate the density of electrons and holes in both p-type and n-type regions under thermal equilibrium at room temperature. b. Calculate the built-in potential of the p-n junction? c. Calculate the width of the depletion layer under a reverse bias of 1.0 V. d. Based on c, calculate the junction capacitance. Note that the junction cross-session area is 1.2 mm2.iron has a bcc structure with atomic radius 0.123 å. find the lattice constant. a) b) 4.587 c) 2.314 d) 0.2840 ååå040 Å
- A cubic crystal has lattice constant 4.3 A and its density 963 kg/m. If its atomic mass is 23, then what type of cubic unit cell does it form? (Avogadro's number, Na = 6.02x10"). Select one: a. FCC b. SC c. NON OF THE ABOVE d. BCCQuestion Copper (Cu) atom has a face center cubic (FCC) crystal structure. The density of Cu is 89g/cm³. Its atomic mass is 63.55 g/mole. What are: 1. The atomic concentration (number of atoms per unit cell volume)? 2. The lattice parameter a (the edge of the cube) of the cubic crystal? 3. The atomic radius of the Cu atom?1. Mercury and tin become type-I superconductors at temperatures of 4.2 K and 3.7 K respectively. The critical field for mercury is 40 mT. Explain which is likely to have the highest critical field and estimate the critical field of tin.
- a. Label the below energy diagram and draw the density of states (DoS). To do so, assign a, b, c, and d to an atom, solid, small molecule, and large molecule. Then draw the density of states expected based on the diagram in the box on the right (including axis labels for both the x and y axes). Label the conduction and valence bands of the metal. You may redraw the whole or any parts of the diagram on a separate piece of paper. b. C. d. Draw DoS in box!QUESTION 10 The lattice energy of CsCl is 633 kJ/mol, the Madelung constant, a, is 1.763, and the Born exponent, n, is 10.7. The ionic radius of Cl- is known to be 1.81 A, e = 1.6 X 10-19 C and NA = 6.02 X 1023 atom/mol. The estimate ionic radius of Cst is: A. 1.69 Å B. 1.81 A C. 3.5 nm D. 3.5 ÅSuppose that a semiconductor device is using a 10.51-mg sample of a hypothetical element By, that is doped with 0.8 % (by mole) of another hypothetical element Do. How many Do atoms are in the sample? Atomic Mass: By: 26.274 g/mol Do: 82.183 g/mol a. 3.75e+18 b. 4.64e+18 c. 1.93e+18 d. 2.84e+18