Foundations of Materials Science and Engineering
6th Edition
ISBN: 9781259696558
Author: SMITH
Publisher: MCG
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Chapter 3.15, Problem 85SEP
(a)
To determine
The center to center distance between the adjacent atoms of gold in the direction of
(b)
To determine
The center to center distance between the adjacent atoms of gold in the direction of
(c)
To determine
The center to center distance between the adjacent atoms of gold in the direction of
(d)
To determine
The center to center distance between the adjacent atoms of gold in the direction of
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r (nm)
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[110]: i
[111]: i
(b)
[110]: i
[111]:
eTextbook and Media
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atom/R
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1/m
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[100]: i
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(b)
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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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- Given that the salt, Potassium Bromide (KBr), forms the pictured rock salt structure and in that structure the K* and Br ions touch along the family of directions, calculate the atomic packing factor (APF) and theoretical density (p) in [g/cm'). Then answer the concept question. lonic radius: K* = 0.138 nm; Br = 0.196 nm Atomic Weight: K = 39.1 g/mol; Br = 79.9 g/mol APF = 9 /cm² Identify the type of ceramic defect that occurs where a pair of K* and Br ions goes missing from the lattice. Circle the correct option: a) Frenkel defect b) Schottky defect Note: Spaces between atomsarrow_forwardThe spacing of adjacent atoms in a NaCl crystal is 0.282 nm, and the masses of the atoms are 3.82*10-26 kg (Na) and 5.89*10-26 kg (CI). Use this information to calculate the density of NaCl. p= kg/m³arrow_forwarda: Sketch within a cubic unit cell the following crystallographic directions: [121], [201], [2 1 3), [111] [121] hi Dats JD fallarrow_forward
- 1. Within a cubic unit cell, sketch the following directions: [110], [121], [0Ī2], [123], [103]arrow_forwardHelp me pleasearrow_forwardSodium 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_forward
- a) Draw the [11 0], [-1 1 0], [ 0-1-1] directions for FCC and prove they are crystallographically equivalent. The family of directions is shown with these brackets. So we can say these directions are part of the family of directions. b) Draw the (1 o 0), (-1 0 0), (0 -1 0), and (00-1) planes for FCC and prove they are crystallographically equivalent. The family of directions is shown with {} these brackets. So we can say these planes are part of the {10 0} family of planes. h me Note that I cannot put a bar as the minus sign.arrow_forwardIron exhibits an allotropic behavior change of solid state structure in such a way that when it is heated to 910 C it undergoes a structure change from body-centered cubic BCC to face-centered cubic FCC considering that the atomic radius of iron increases to 0.1241 nm or 0.126 nm more when said temperature is reached obtainThe volume change experienced by the structure when the temperature of 910 C is reachedarrow_forwardVanadium (V) has a BCC crystal structure. The atomic radius is R = 0.132 nm and the atomic mass is M = 50.94 g/mole. What is the density of Vanadium in g/mm ? Given: Avogadro's Number NA = 0.6023 x 1024 (atoms/mole) Select one: O a, 0.021 O b. 0.011 Oc.1.5 d. 0.0087 e. 0.00597 Potassium (K) has the Body-Centered Cubic (BC) crystal structune. The edge length is a = 0.533 nm. What is the linear density in atoms/nm along direction (01112 Select one: O ENG O O 0 00arrow_forward
- Brass is a substitutional solid solution alloy consisting of 66 wt% Cu and 34 wt% Zn. The density of the pure Cu and Zn are 8.96 g/cm³ and 7.13 g/cm³, respectively. Avogadro constant NA 6.022×1023 atoms/mol. The atomic weights of Zn and Cu are 65.38 g/mol and 63.55 g/mol, respectively. Compute the number of Zn atoms per cubic centimeter of brass.arrow_forwardGallium has an orthorhombic structure,with a0 5 0.45258 nm, b0 5 0.45186 nm,and c0 5 0.76570 nm. The atomic radiusis 0.1218 nm. The density is 5.904 g/cm3,and the atomic weight is 69.72 g/mol.Determine(a) the number of atoms in each unit cell;and(b) the packing factor in the unit cell.arrow_forwardwithin a orthorhombic unit cell, sketch the following: [213] and [301]arrow_forward
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