2. A) Within the following cubic unit cells (left and right), sketch the following directions (to left) and
planes (to right): \([\overline{1} 10],[0 \overline{1} \overline{1}],[0 \overline{1} 1],(002),(020)\)
B) A hypothetical metal has the body centered cubic crystal structure. If it has an atomic radius of \(0.124 \mathrm{nm}\), and an atomic weight of \(55.85 \mathrm{~g} / \mathrm{mol}\), compute its density.
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(a) Differentiate between Face- Centered Cubic (FCC) and Body-Centered Cubic (BCC) crystal structures. Why FCC metals are more ductile than BCC metals? 5 marks) (ii) show the relationship between the unit cell edge length, a, and the atomic radius, R, for a BCC crystal. Iron has a BCC crystal structure, an atomic radius of 0.124 nm, and atomic weight of 55.85 g/mol. Calculate its theoretical density Given: Avogardo's Number is 6.02 x 105 atoms/mol (5 marks) Figure 1 Determine the...
A hypothetical metal (W) has a body centered cubic crystal structure. Using a metallic radius of 139 pm for the W atom, calculate the density of W in grams per cubic centimeter. (1pm=10-12m) (Atomic weight of W is 183.84 g/mol)
A hypothetical metal (W) has a body centered cubic crystal structure. Using a metallic radius of 139 pm for the W atom, calculate the density of W in grams per cubic centimeter. (1pm=10 m) (Atomic weight of W is 183.84 g/mol) h
4. A cylindrical aluminum specimen having a diameter of \(20 \mathrm{~mm}\) and length of \(210 \mathrm{~mm}\) is deformed elastically in tension with a force of \(48,800 \mathrm{~N},\left(\mathrm{U}_{\mathrm{A} 1}=0.33, \mathrm{E}_{\mathrm{Al}}=69 \mathrm{GPa}\right)\)Determine the following:(a) The amount by which this specimen will elongate in the direction of the applied stress.(b) The change in diameter of the specimen. Will the diameter increase or decrease?
Simple Cubic (SC) Structure 1. Write the Miller indices for the family of close-packed directions in the SC crystal. <hkl>= 2. Write the expression for theoretical density of a material with SC structure in terms of atomic radius (R), atomic weight (A), and Avogadro's number (NA). (Show your work.) 3. Calculate the planar density for the most densely packed SC planes in terms of atomic radius (R). (Show your work.) PD Body-Centered Cubic (BCC) Structure 4. How many non-parallel close-packed...
Q1. (20 pts) A hypothetical metal (W) has a body centered cubic crystal structure. Using a metallic radius of 139 pm for the W atom, calculate the density of W in grams per cubic centimeter. (1pm=10 m) (Atomic weight of W is 183.84 g/mol)
Q1. (20 pts) A hypothetical metal (W) has a body centered cubic crystal structure. Using a metallic radius of 139 pm for the W atom, calculate the density of Win grams per cubic centimeter. (1pm=10" m) (Atomic weight of W is 183.84 g/mol)
1. Compute the percent ionic character of the interatomic bonds for each of the following compounds: TiO2, ZnTe, Csci, InSb, and MgCl2. Calculate the number of vacancies per cubic meter in iron at 850°C. The energy for vacancy formation is 1.08 eV/atom. The density and atomic weight for Fe are 7.65 g/cm3 and 55.85 g/mol, respectively 3. Molybdenum forms a substitutional solid solution with tungsten. Compute the weight percent of molybdenum that must be added to tungsten to yield an...
A hypothetical metal has the simple cubic crystal structure shown in Figure 3.3. If its atomic weight is 86.6 g/mol and the atomic radius is 0.169 nm, compute its density.
6) A hypothetical metal has the simple cubic crystal structure. If its atomic weight is 70.6 g/mol and the atomic radius is 0.128 nm, compute its theoretical density. (N=6.022 * 1023 atoms/mol) (Theoretical density-mass of atoms in unit cell/total volume of unit cell) 7) Write down the names of each crystal structure given below.