Foundations of Materials Science and Engineering
6th Edition
ISBN: 9781259696558
Author: SMITH
Publisher: MCG
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Chapter 3.15, Problem 2KCP
To determine
What is meant by (a) crystal structure, (b) space lattice, (c) lattice point, (d) unit cell, (e) motif, and (f) lattice constants.
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Students have asked these similar questions
Consider a unit cell with lattice dimensions a, b, and c in the x-, y and z directions. Which of the following sets of Miller indices can represent a
crystallographic plane with intercepts of b and (c/4) along the y- and z-axes respectively?
(more than one answer is possible for this question. marks will only be awarded for the question if all the correct options are selected (i.e. 'all or
nothing' marking scheme).
a.
b.
C.
d.
(214)
(421)
(114)
e. (412)
A hypothetical tetrahedral crystal has the
following lattice parameters:
a = b = 0.40 nm, c = 0.5 nm, a = B = y = 90°.
Please write the indices of all planes/directions that belong to the family of (i) {100}
and (ii)
What are the families of crystal directions and planes? What are the closest packed crystalline direction and plane of BCC and FCC?
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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- = 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_forwardWhat are all the planes in {101} family of an orthorhombic lattice?arrow_forwardWith the information on its molar volume and lattice parameter, a, determine the crystal structure of Puterium. Sketch the crystal structure indicating the atoms arrangement. DATA: molar volume, Vmol = 5.90 cm/mol; lattice parameter, a = 2.15 Å = 2.15 x 10-8 cmarrow_forward
- 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 0.140arrow_forwardSolve the following Problem * Iodine has an orthorhombic unit cell for which the a, b, and c lattice parameters are 0.479, 0.725, and 0.978 nm, respectively. (a) If the atomic packing factor and atomic radius are 0.547 and 0.177 nm, respectively, de- termine the number of atoms in each unit cell. (b) The atomic weight of iodine is 126.91 g/mol; compute its theoretical density.arrow_forwardThe density of a sample of HCP beryllium is 1.844 g/cm 3 , and the lattice parameters are a 0 = 0.22858 nm and c 0 = 0.35842 nm. Calculate (a) the fraction of the lattice points that contains vacancies: and (b) the total number of vacancies in a cubic centimetre of Bearrow_forward
- 5. Make a drawing of the (110) plane of a bcc lattice. What's the distance between adjacent (110) planes if the lattice constant is a? 6. Make a drawing of the (111) plane of an fcc lattice. What's the distance between adjacent (111) planes if the lattice constant is a?arrow_forwardConsider two hypothetical metallic crystal structures A and B. A has an fcc and B a bcc lattice structure. Both have the same unit cell volume. The Atomic Packing Factor for A is 0.740 and that for B is 0.680. What is the ratio of the fcc to bcc atomic radii? (This question has only one correct answer) a. 0.82 b. 0.63 c. 0.92 d. 0.44 e. 1.21 Clear my choicearrow_forwardwhat are the properties of monoclinic crystal structurearrow_forward
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