1. For zine (Zn) with a perfect HCP crystal structure having a c/a ratio of 1.633...
1. For zinc (Zn) with a perfect HCP crystal structure having a c/a ratio of 1.633 and a density of 7.13 g/cm'. (18 marks) a) Show that the volume of the Zn unit cell is given by 6V3R'C. (10 marks) b) Compute the atomic radius for Zn in nm. (8 marks)
Material science 2. (i) For HCP crystals, show that the c/a ratio is 1.633. (iü) Calculate the atomic packing factor of HCP unit cell. 25pts 25pts
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.
fig 3.3 Problem 3.11 A hypothetical metal has the simple cubkc crystal structure shown in Egure 3.3. If its atomic weight is 73. 8 g/mol and the atomic radius is 0.147 nm, compute its density 9/cm the tolerance is +/-6% rfi : Figure 3.3 : For the simple cubic crystal : structure, (a) a hard-sphere : unit cell and (b) a reduced i sphere unit cell
Zinc has an HCP unit cell for which the ratio of the lattice parameters c/a is 1.85. If the radius of the Zn atom is 0.1332 nm. a) determine the unit cell volume (You can still assume a = 2r the 2D planes are just not closely packed anymore) b) calculate the density of Zn and compare it with the literature value. *Explain why the values might be different.
Given the crystal structure of Zn is HCP (a = 266.49 pm, c = 494.68 pm): (a) Determine the slip system(s) based on the given information. (b) Estimate the Peierls-Nabarro Stress for given that G = 43 GPa, and ?=0.25.
NaCl has a rock salt crystal structure with a unit cell edge length of 0.56 nm. The atomic weights of the Na and Cl are 23 and 35.5 g/mol, respectively, and the Avogadro's number is 6.022 x 10“ formula units/mol. (a) Draw a unit cell to show the crystal structure of the NaCl. (b) What is the coordination number of the atoms in this structure? (c) How many Na atoms and Cl atoms in one unit-cell of such a structure?...
You determine that material (c) has a hexagonal close-packed structure, where the c-to-a ratio is 1.633. Calculate the APF. Note: the center layer consists of the equivalent of three total atoms within the unit cell, and the radius of the atom is r.
Given that iridium has a FCC crystal structure, a density of 22.4 g per cubic centimeter, and an atomic weight of 192.2 g/mol, what is the volume of its unit cell in cubic centimeters? For above problem calculate lattice parameter (a) for iridium in cm
2. Calculate the atomic packing factor of the zinc blend (ZnS) crystal structure. The ZnS unit cell is shown below. (14 marks) The ionic radii of Zn?" and S. are 0.060 and 0.174 nm, respectively, On Os