Q9: Within a cubic unit cell, sketch the following directions: (a) [101], (e) [117 ], (b) [211], (f) [Ž12 ], (c) [10Z ), (g) [3T 2 ], (d) [313 ], (h) [301].
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![Q9: Within a cubic unit cell, sketch the following directions:
(a) [101],
(e) [111 ],
(b) [211],
(f) [Ž12 ],
(c) [102 ],
(g) [3T 2 ],
(d) [313 ],
(h) [301].](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffde6138b-a9c8-4d51-b3f0-5853664d8393%2Ff517e6ac-aff3-4420-9ddd-601f8eba59ac%2Fb6urny_processed.jpeg&w=3840&q=75)
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- Suppose that a particular crystal has a primitive unit cell that can be described by the following primitive lattice vectors: NOTE: i, j and k are unit vectors. a1 = √2ai + √2aja2 = (−3a/√2)i +( 3a/√2)ja3 = −√2ai − √2aj + 2√3ak (a) Determine the crystal system of the crystal. (b) Using the reciprocal lattice, determine an expression for the interplanar spacings of the crystal. (c) Suppose that the constant ? has a value of 0.546 nm and that the interplanar spacing for planes with certain unknown Miller indices was measured to be 0.539 nm. Determine an equation satisfied by the Miller indices of the planes and hence suggest which planes they are.Assume we have to accommodate 18 million books, each of which has 1 billion characters. If each character can be written using 100atoms, and if the bulk atoms can be used, calculate the size of an object (in nanometers) that can accommodate all the 18 million books. Assume one atom occupies a space which is 0.25 nm in sizeOn April 20, 2010, the DeepWater Horizon oil drilling operation exploded, causing the largest marine oil spill ever recorded. When estimating the volume of an oil spill, if there are traces of color in the oil slick, it is estimated at 150 nanometers[nm] thick and a ratio of 1.4 liters per hectare[L/ha]. What is this ratio in gallons per square kilometer [gal/km2]? The ratio is ___ gal/km2.
- The attached photo shows the Young’s modulus of a cubic single crystal as a function of orientation. where a1 a2 and a3 are the direction cosines between the direction hkl and [100], [010], and [001], respectively. For a certain crystal, E111 = 500 GPa and E100 = 90 GPa. Calculate Young’s modulus for this single crystal in the <110> directionThe speed of sound in air is 340 m/s, and the speed of light is 3.0 X 108 m/s. What frequency oflight has the same wavelength as a 200.0 Hz sound wave?1. Define the concepts below in terms of crystal structure: I Three states of matter: crystalline, polycrystalline, and amorphous. (ii) Crystal structure, lattice, and basis.
- (a ) Rhodium has an atomic radius of 0.1345 nm and a density of 12.41 g/cm^3 . Determine whether it has an FCC or BCC crystal structure. (Note: It has an atomic weight of 102.91 g/mol.) (b) If aluminum diffused into a thick slice of silicon with no previous aluminum in it at the temperature of 1100 degrees celcius for 6 hours, what is the depth below the surface at which the concentration is 1016 atoms/cm^3 if the surface concentration is 1018 atoms/cm^3 . D=2x10^(-12) cm^2 /s for Al diffusing in Si at 1100 degrees celcius.Ba (AW = 137.327 g/cm3) FCC Atomic radius = 0.115 nm Qv = 1.23ev/atom T = 1230 OC Determine: a) Number of lattice sites, N (atoms/m3) b) Number of vacancies, Nv (atoms/m3)QJLY21 Sketch the crystallographic plane in unit cell. i) (110) ii) (011) iii) (112)
- Nanotechnology, the field of building 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. 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 or for the purpose of space travel, for example—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 25 nanometers. What is the volume of one nanocontainer? (Ignore the thickness of the nanocontainer’s wall.)Nanotechnology, the field of building 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. 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 or for the purpose of space travel, for example—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 25 nanometers. Suppose that each nanocontainer could contain pure oxygen pressurized to a density of 85 g/L. How many grams of oxygen could be contained by each nanocontainer?Predict the formula of the ionic compound formed between the lithium ion and the peroxide ion, O22−.
