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- The bond length in F2 is 1.417 Å, instead of twice theatomic radius of F, which is 1.28 Å. What can account forthe unexpected length of the F_ F bond?Why?pls show all steps 1) Assume that the elemental atoms are hard spheres of radius r.Calculate the maximum packing rate t obtained when this elementcrystallizes into the following structures:(a) simple cubic (sc)(b) body-centered cubic (bcc)(c) face-centered cubic (fcc)
- The Madelung constant for the NaCl structure may be found by summing an infinite alternating series of terms giving the electrostatic potential energy between an Na+ ion and its 6 nearest Cl neighbors, its 12 next-nearest N+ neighbors, and so on (see Fig. 12.1a). (a) From this expression, show that the first three terms of the infinite series for the Madelung constant for the NaCl structure yield = 2.13. (b) Does this infinite series converge rapidly? Calculate the fourth term as a check.The measured density of a CsCl crystal is 3.988 g/cm3. What is the equilibrium separate distance of Cs+ and Cl- ions?The measured density of a KCl crystal is 1.984 g/cm3. What is the equilibrium separation distance of K+ and Cl- ions?
- A p-n junction made of Silicon has an intrinsic carrier concentration of 1.1 × 10¹⁰ cm−³, a donor concentration of 1.5 × 10¹7 cm-³ and an acceptor concentration of 0.6 × 10¹6 cm−³ at room temperature (300 K). (i) (ii) (iii) Calculate the built-in potential established in the p-n junction. Give your answer to 2 d.p. Determine the voltage drop across the depletion layer on the n- side? Hint: Calculate this by finding the change in Fermi level (relative to the intrinsic level) on the n-side. What are the two mechanisms responsible for the breakdown of a p-n junction when reverse biased?(b) Describe the nature and origin of various forces existing between the atoms of a crystal. Explain the formation of a stable bond using the potential energy versus interatomic distance curve. Assume that the potential energy of two particles in the field of each other is given by U(R) = - R where A and B are constants. R9 (i) Show that the particles form a stable compound for R= R. = (9B/A)/8 (R, is equilibrium separation) i) Show that for stable configuration, the energy of attraction is nine times the energy of repulsion. 8A (iii) Show that the potential energy of the system under stable configuration is 9ReNanotechnology, the field of trying to build ultrasmall structures one atom at a time, has progressed in recent years. One potential application of nanotechnology is the construction of artificial cells. The simplest cells would probably mimic red blood cells, the body's oxygen transporters. For example, nanocontainers, perhaps constructed of carbon, could be pumped full of oxygen and injected into a person's bloodstream. If the person needed additional oxygen-due to a heart attack perhaps, or for the purpose of space travel-these containers could slowly release oxygen into the blood, allowing tissues that would otherwise die to remain alive. Suppose that the nanocontainers were cubic and had an edge length of 23 nanometers. A) What is the volume of one nanocontainer? (Ignore the thickness of the nanocontainer's wall.) B)Suppose that each nanocontainer could contain pure oxygen pressurized to a density of 85 g/Lg/L . How many grams of oxygen could be contained by each nanocontainer?…
- Nanotechnology, the field of trying to build ultrasmall structures one atom at a time, has progressed in recent years. One potential application of nanotechnology is the construction of artificial cells. The simplest cells would probably mimic red blood cells, the body's oxygen transporters. For example, nanocontainers, perhaps constructed of carbon, could be pumped full of oxygen and injected into a person's bloodstream. If the person needed additional oxygen-due to a heart attack perhaps, or for the purpose of space travel-these containers could slowly release oxygen into the blood, allowing tissues that would otherwise die to remain alive. Suppose that the nanocontainers were cubic and had an edge length of 23 nanometers. A)What is the volume of one nanocontainer? B)Suppose that each nanocontainer could contain pure oxygen pressurized to a density of 85 g/Lg/L . How many grams of oxygen could be contained by each nanocontainer? C)Normal air contains about 0.28 gg of oxygen per…a) State two ways in which a pn junction can be formed. b) Define the metallurgical junction. c) What is a step junction? d) Explain what is meant by a diode or ou junction being: Zero biased. Forward biased. Reverse biased. (ii) (iii) e) Mention two functions of the built-in potential barrier.Find
