Foundations of Materials Science and Engineering
6th Edition
ISBN: 9781259696558
Author: SMITH
Publisher: MCG
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Chapter 3.15, Problem 14KCP
To determine
State how the crystallographic planes are designated in HCP unit cells.
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1) For the HCP crystal structure, show that the ideal c/a ratio is 1.633
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?
Metallic Crystal Structures1. 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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- 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 0.74arrow_forwardWhat are the families of crystal directions and planes? What are the closest packed crystalline direction and plane of BCC and FCC?arrow_forwardHow can we calculate structure factor for "tetragonal, hexagonal and orthorhombic"?arrow_forward
- Q : (i) Prove that the atomic packing factor (APF) for the BCC crystal structure is 0.68. (ii) Prove that the volume of an FCC unit cell, VC is; VC = 16R3/2arrow_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_forwardDetermine the Miller Index of the given direction and plane in an HCP crystal?arrow_forward
- What is "Tin Disease"? The crystal Structure of Zinc (Zn) is Hexagonal Closed Packed (HCP). Show that for HCP structure c/a ratio is 1.633 with necessary neat sketches.arrow_forwardOf BCC and FCC crystal structure, which one would expect to have a higher packingfactor and why?arrow_forward3. Beryllium (Be) is an HCP structure with a=0.22858 nm and c=0.35842 nm. The atomic radius is 0.1143 nm, the density is 1.848 g/cm3, and the atomic mass is 9.01 g/mol. In this case, find (a) the number of atoms in the single crystal and (b) the atomic filling rate of the unit crystal.arrow_forward
- Zinc crystallizes in HCP structure. Geometrically the height of the unit cell is 43.4378 x10^-8 cm 4.34378x 10^-8 cm 2.1718 x10^-8cm data insufficientarrow_forwardDetermine the Miller Indices of Direction C and D in an HCP crystal.arrow_forwardIllustrate the difference between crystalline structure and amorphous structure using an examplearrow_forward
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