Foundations of Materials Science and Engineering
6th Edition
ISBN: 9781259696558
Author: SMITH
Publisher: MCG
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Question
Chapter 3.15, Problem 81SEP
(a)
To determine
The atomic packing factor of the cesium iodine
(b)
To determine
Compare the value of atomic packing factor of the cesium iodine with the body-centered cubic
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electrochemistry.
One form of TiO2 is the mineral rutile, which has a tetragonal lattice with a = b= 4.594 x 10-10 m and c = 2.959 x10-10 m at 25o C. There are two formula units per unit cell. Calculate the density of rutile at 25o C
Sodium chloride (NaCl) has the rock salt crystal structure and a density of 2.17 g/cm³. The atomic weights of sodium and chlorine are
22.99 g/mol and 35.45 g/mol, respectively.
(a) Determine the unit cell edge length.
nm
(b) Determine the unit cell edge length from the radii in the table below assuming that the Nat and Cl- ions just touch each other along
the edges.
nm
Cation
Mg2+
Fe2+
Na+
Ionic Radius (nm)
0.072
0.077
0.102
Anion Ionic Radius (nm)
CI-
0²-
0.181
0.140
1. Is there a difference in packing (coordination number) between these two types (FCC and HCP) of structures?
2. Look at the two structures. A small difference in arrangement of atoms causes a dramatic difference in the properties of FCC ductile metals and HCP brittle metals. Can you see it? Try to draw the differences (You can draw the 3-layers separately):
Chapter 3 Solutions
Foundations of Materials Science and Engineering
Ch. 3.15 - Prob. 1KCPCh. 3.15 - Prob. 2KCPCh. 3.15 - Prob. 3KCPCh. 3.15 - Prob. 4KCPCh. 3.15 - Prob. 5KCPCh. 3.15 - Prob. 6KCPCh. 3.15 - Prob. 7KCPCh. 3.15 - Prob. 8KCPCh. 3.15 - Prob. 9KCPCh. 3.15 - Prob. 10KCP
Ch. 3.15 - Prob. 11KCPCh. 3.15 - Prob. 12KCPCh. 3.15 - Prob. 13KCPCh. 3.15 - Prob. 14KCPCh. 3.15 - Prob. 15KCPCh. 3.15 - Prob. 16KCPCh. 3.15 - Prob. 17KCPCh. 3.15 - Prob. 18KCPCh. 3.15 - Prob. 19KCPCh. 3.15 - Prob. 20KCPCh. 3.15 - Prob. 21KCPCh. 3.15 - Prob. 22KCPCh. 3.15 - Prob. 23KCPCh. 3.15 - Prob. 24AAPCh. 3.15 - Prob. 25AAPCh. 3.15 - Prob. 26AAPCh. 3.15 - Prob. 27AAPCh. 3.15 - Prob. 28AAPCh. 3.15 - Prob. 29AAPCh. 3.15 - Prob. 30AAPCh. 3.15 - Prob. 31AAPCh. 3.15 - Prob. 33AAPCh. 3.15 - A direction vector passes through a unit cube from...Ch. 3.15 - Prob. 36AAPCh. 3.15 - Prob. 37AAPCh. 3.15 - Prob. 38AAPCh. 3.15 - Prob. 41AAPCh. 3.15 - Prob. 42AAPCh. 3.15 - Prob. 43AAPCh. 3.15 - Prob. 44AAPCh. 3.15 - Prob. 45AAPCh. 3.15 - Prob. 46AAPCh. 3.15 - Prob. 47AAPCh. 3.15 - Rodium is FCC and has a lattice constant a of...Ch. 3.15 - Prob. 49AAPCh. 3.15 - Prob. 50AAPCh. 3.15 - Prob. 51AAPCh. 3.15 - Prob. 52AAPCh. 3.15 - Prob. 53AAPCh. 3.15 - Prob. 54AAPCh. 3.15 - Prob. 55AAPCh. 3.15 - Determine the Miller-Bravais direction indices of...Ch. 3.15 - Determine the Miller-Bravais direction indices of...Ch. 3.15 - Prob. 58AAPCh. 3.15 - Prob. 59AAPCh. 3.15 - Prob. 60AAPCh. 3.15 - Prob. 61AAPCh. 3.15 - Prob. 62AAPCh. 3.15 - Prob. 63AAPCh. 3.15 - Prob. 64AAPCh. 3.15 - Prob. 65AAPCh. 3.15 - Prob. 66AAPCh. 3.15 - Prob. 67AAPCh. 3.15 - Prob. 68AAPCh. 3.15 - Prob. 69AAPCh. 3.15 - Prob. 70AAPCh. 3.15 - Prob. 71AAPCh. 3.15 - Prob. 72AAPCh. 3.15 - Prob. 73AAPCh. 3.15 - Prob. 74SEPCh. 3.15 - Prob. 75SEPCh. 3.15 - Prob. 76SEPCh. 3.15 - Assuming that the volume of an HCP metal cell...Ch. 3.15 - Prob. 79SEPCh. 3.15 - Prob. 80SEPCh. 3.15 - Prob. 81SEPCh. 3.15 - Prob. 82SEPCh. 3.15 - Prob. 83SEPCh. 3.15 - Prob. 84SEPCh. 3.15 - Prob. 85SEPCh. 3.15 - Prob. 86SEPCh. 3.15 - Prob. 87SEPCh. 3.15 - Prob. 88SEPCh. 3.15 - Prob. 89SEPCh. 3.15 - Prob. 90SEPCh. 3.15 - Prob. 91SEPCh. 3.15 - Prob. 92SEPCh. 3.15 - Prob. 93SEPCh. 3.15 - Prob. 94SEPCh. 3.15 - Prob. 95SEPCh. 3.15 - Prob. 96SEP
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- Question-5 How many atoms per unit cell are there in the HCP crystal structure (give details)? What is the coordination number for the atoms in the HCP crystal structure?arrow_forward= 0.4961 nm and c = The unit cell for Cr2O3 has hexagonal symmetry with lattice parameters a 1.360 nm. If the density of this material is 5.22 g/cm³, calculate its atomic packing factor. For this computation assume ionic radii of 0.062 nm and 0.140 nm, respectively for Cr³+ and O²¯.arrow_forwardThe density of BCC iron is 7.882g/cm3 and the lattice parameter is 0.2866nm when hydrogen atoms are introduced at interstitial positions. Calculate(a) the atomic fraction of hydrogen atoms; and(b) number of unit cells on average that contain hydrogen atoms.arrow_forward
- Sodium chloride (NaCI) is a ceramic that has the following crystal structure. Given: R(Na*)= 0.098 nm and R(CI")=0.181 Calculate the lonic Packing Factor (IPF) of NaCl? O Nat Select one: O a. 0.14 O b. 0.66 c. 0.51 O d. 0.74 O e. 0.41 O f. 0.47 O g. 0.21arrow_forwardSketch a 3D FCC unit cell and indicate where all 12 FCC slip systems can be found.arrow_forwardThe only alkali metal halides that do not adopt the NaCl structure are CsCl, CsBr, and CsI, formed from the largest alkali metal cation and the three largest halide ions. These crystallize in the cesium chloride structure (shown here for CsCl). This structure has been used as an example of how dispersion forces can dominate in the presence of ionic forces. Use the ideas of coordination number and polarizability to explain why the CsCl structure exists.arrow_forward
- Vanadium has the Body-Centered Cubic (BCC) crystal structure. The edge length "a" of the unit cell of Vanadium is a 0.3048 nm at room %3D temperature (20°C). Calculate atomic radius "r" of Vanadium? Select one: a. 0.488 b. 0.428 c. 0.304 d. 0.612 e. 0,132arrow_forwardWhat is the atomic packing factor for a material with the BCC structure? Calculate it with formula.arrow_forwardThe free space in a metal may be found by subtracting the volume of the atoms in a unit cell from the volume of the cell. Calculate the percentage of free space in each of the three cubic lattices if all atoms in each are of equalsize and touch their nearest neighbors. Which of these structures represents the most efficient packing? That is, which packs with the least amount of unused space?arrow_forward
- Calculate the atomic packing factor for a material with body centred cubic structure.arrow_forwardNickel oxide (NiO) is a ceramic that has the same crystal structure as NaCl. Given: R(Ni2+)= 0.075 nm and R(02)=0.132 Calculate the lonic Packing Factor (IPF) of NiO? O Na CI Select one: a. 0.47 b, 0.74 c. 0.64 d. 0 12 e. 0.14 f. 0.21 g. 0.41arrow_forwardSodium chloride (NaCI) is a ceramic that has the following crystal structure. Given: R(Na*)= 0.098 nm and R(CI")=0.181 Calculate the lonic Packing Factor (IPF) of NaCl? O Na CH Select one: O a. 0.14 O b. 0.66 C. 0.51 O d. 0.74 O e. 0.41 O f. 0.47 g. 0.21arrow_forward
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