Foundations of Materials Science and Engineering
6th Edition
ISBN: 9781259696558
Author: SMITH
Publisher: MCG
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Chapter 3.15, Problem 26AAP
To determine
Show that the atomic packing factor for the face-centered cubic structure is
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Show that the atomic packing factor for BCC is 0.68.
Define the Atomic Packing Factor and explain its significance. If metal A has a higher APF than metal B, how do the properties of A compare to B
1) For the HCP crystal structure, show that the ideal c/a ratio is 1.633.
2) Show that the atomic packing factor for HCP is 0.74
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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- Prove that the atomic packing factor (APF) for the BCC crystal structure is 0.68.arrow_forwardDefine the atomic packing factor? Is it equal to all types of cell units?arrow_forward1. Show that the atomic packing factor for HCP is 0.74.2. Calculate the radius of Palladium atom given that PD has an FCC crystal structure, a density of 12.0 g/cm3, and an atomic weight of 106.4 g/mol.arrow_forward
- Do non-crystalline material display the phenomenon of allotropy? Why or why not? In your own wordsarrow_forwardWhat is the atomic packing factor or packing factor of a crystal structure with one complete atom of radius r per cell? The cell has edges of length 2r.arrow_forwardCalculate the atomic densities of the directions [100], [111] and [110] in a face centered cubic structure.arrow_forward
- Calculate the gravitational constant g, in SI units, for alocation on the surface of the sun.arrow_forwardFor a face centered cubic (FCC) crustal structure, a total of ______ whole atoms can be found inside and FCC unit cellarrow_forwardAn atom crystallizes in FCC crystal lattice and has a density of 10 g/ cm 3 with unit cell edge length of 100 pm. Calculate the number of atoms present in 1 g of the crystal.arrow_forward
- What is the atomic packing factor for simple cubic structures and the ratio of this factor to that of fcc Select one: a. 0.64, 0.89 b. 0.24, 0.46 c. 0.84, 0.26 d. 0.72, 1.23 e. 0.52, 0.71arrow_forwardDetermine the repeat distance, linear density, and packing fraction for FCC nickel, which has a lattice parameter of 0.35167 nm, in the[100],[110] , and [111] directions. Which of these direction is close packed?arrow_forwardThe atomic packing factor for a material with body centred cubic structure is....arrow_forward
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