The Science and Engineering of Materials (MindTap Course List)
7th Edition
ISBN: 9781305076761
Author: Donald R. Askeland, Wendelin J. Wright
Publisher: Cengage Learning
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Question
Chapter 3, Problem 3.56P
To determine
The indices for the directions in the hexagonal lattice using three-digit and four-digit systems.
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Determine the indices for the directions in the cubic unit cell shown in the figure below
If the atomic radius of a metal that has the face centred cubic (FCC) crystal structure is (3.70x10^-1) nm, calculate the volume of its unit cell (in nm^3).
Determine the Miller indices for the planes of the cubic unit cell shown in figure 2, according to the coordinate axis system shown.
Chapter 3 Solutions
The Science and Engineering of Materials (MindTap Course List)
Ch. 3 - Prob. 3.1PCh. 3 - Prob. 3.2PCh. 3 - Prob. 3.3PCh. 3 - What is a polycrystalline material?Ch. 3 - Prob. 3.5PCh. 3 - Prob. 3.6PCh. 3 - Prob. 3.7PCh. 3 - Prob. 3.8PCh. 3 - Prob. 3.9PCh. 3 - Prob. 3.10P
Ch. 3 - Prob. 3.11PCh. 3 - Prob. 3.12PCh. 3 - Prob. 3.13PCh. 3 - Prob. 3.14PCh. 3 - Prob. 3.15PCh. 3 - Prob. 3.16PCh. 3 - Prob. 3.17PCh. 3 - Prob. 3.18PCh. 3 - Prob. 3.19PCh. 3 - Prob. 3.20PCh. 3 - Prob. 3.21PCh. 3 - Prob. 3.22PCh. 3 - Prob. 3.23PCh. 3 - Prob. 3.24PCh. 3 - Prob. 3.25PCh. 3 - Aluminum foil used to package food isapproximately...Ch. 3 - Prob. 3.27PCh. 3 - Prob. 3.28PCh. 3 - Thoria or thonrium dioxide can be describedas an...Ch. 3 - Prob. 3.30PCh. 3 - Prob. 3.31PCh. 3 - Prob. 3.32PCh. 3 - Prob. 3.33PCh. 3 - Prob. 3.34PCh. 3 - Prob. 3.35PCh. 3 - Prob. 3.36PCh. 3 - Prob. 3.37PCh. 3 - Prob. 3.38PCh. 3 - Prob. 3.39PCh. 3 - Prob. 3.40PCh. 3 - Prob. 3.41PCh. 3 - Prob. 3.42PCh. 3 - Prob. 3.43PCh. 3 - Prob. 3.44PCh. 3 - Prob. 3.45PCh. 3 - Prob. 3.46PCh. 3 - Prob. 3.47PCh. 3 - Prob. 3.48PCh. 3 - Prob. 3.49PCh. 3 - Prob. 3.50PCh. 3 - Prob. 3.51PCh. 3 - Prob. 3.52PCh. 3 - Prob. 3.53PCh. 3 - Prob. 3.54PCh. 3 - Prob. 3.55PCh. 3 - Prob. 3.56PCh. 3 - Prob. 3.57PCh. 3 - Prob. 3.58PCh. 3 - Prob. 3.59PCh. 3 - Prob. 3.60PCh. 3 - Prob. 3.61PCh. 3 - Prob. 3.62PCh. 3 - Prob. 3.63PCh. 3 - Prob. 3.64PCh. 3 - Prob. 3.65PCh. 3 - Prob. 3.66PCh. 3 - Prob. 3.67PCh. 3 - Prob. 3.68PCh. 3 - Prob. 3.69PCh. 3 - Prob. 3.70PCh. 3 - Prob. 3.71PCh. 3 - Prob. 3.72PCh. 3 - Prob. 3.73PCh. 3 - Prob. 3.74PCh. 3 - Prob. 3.75PCh. 3 - Prob. 3.76PCh. 3 - Determine the planar density and packing fraction...Ch. 3 - Prob. 3.78PCh. 3 - Prob. 3.79PCh. 3 - Prob. 3.80PCh. 3 - Prob. 3.81PCh. 3 - Prob. 3.82PCh. 3 - Prob. 3.83PCh. 3 - Prob. 3.84PCh. 3 - Prob. 3.85PCh. 3 - Prob. 3.86PCh. 3 - Prob. 3.87PCh. 3 - Prob. 3.88PCh. 3 - Prob. 3.89PCh. 3 - Prob. 3.90PCh. 3 - Prob. 3.91PCh. 3 - MgO, which has the sodium chloride structure, has...Ch. 3 - Prob. 3.93PCh. 3 - Prob. 3.94PCh. 3 - Prob. 3.95PCh. 3 - Prob. 3.96PCh. 3 - Prob. 3.97PCh. 3 - Prob. 3.98PCh. 3 - Prob. 3.99PCh. 3 - Prob. 3.100PCh. 3 - Prob. 3.101DPCh. 3 - You want to design a material for making kitchen...Ch. 3 - Prob. 3.103CPCh. 3 - Prob. 3.104CPCh. 3 - Prob. 3.1KP
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- In an ideal hexagonal closed packed system, if the atomic radius of the atom was 0.112 nm, write down the three digit value of the lattice parameter c in nm unitarrow_forwardIn a cubic crystal, draw any three (3) parallel planes and determine their miller indices.arrow_forwardSketch the lattice planes in cubic crystal using Miller indices for (-200), (-1-20) and (302) planesarrow_forward
- qjly21 For FCC iron, calculate the diffraction angle for the (220) set of planes. The lattice parameter for Fe is 0.3571 nm. Assume that monochromatic radiation having a wavelength of 0.1540 nm is used, and the order of reflection is 1.arrow_forwardDetermine the possible crystal structure of Zinc Blende structure (ZnS), if the radii are as follows Zn+2 = 0.074 and S-2 = 0.184.arrow_forwardWhat are all the planes in {101} family of an orthorhombic lattice?arrow_forward
- i) Explain the Body-Centered Cubic (BCC) unit cell with a neat diagram and provide a minimum of two examples for BCC structure. ii) Explain interstitial impurity atom and substitutional impurity atom with a neat diagram.arrow_forwardsketch a unit cell for the body-centered orthorhombic crystal structurearrow_forwardWhen we calculate the reciprocal lattice of "hexagonal" why we multiply 2π??arrow_forward
- Determine 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_forwardExamine your crystal models and find: (a) the number of different (non-parallel) close - packed planes and close - packed directions in the ccp (Cubic closed packing) and hcp (hexagonal tightly packed) structures; and (b) the number of closest - packed planes and close - packed directions in the bcc ( Body - centered cubic) structure.arrow_forwardLead has an FCC crystal lattice and atomic radius of 0.175 nm. Find the volume of the unit cell of lead in m3.arrow_forward
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