Foundations of Materials Science and Engineering
6th Edition
ISBN: 9781259696558
Author: SMITH
Publisher: MCG
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Chapter 3.15, Problem 86SEP
(a)
To determine
The center to center distance between the adjacent atoms of tungsten in the direction of
(b)
To determine
The center to center distance between the adjacent atoms of tungsten in the direction of
(c)
To determine
The center to center distance between the adjacent atoms of tungsten in the direction of
(d)
To determine
The center to center distance between the adjacent atoms of tungsten in the direction of
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Copper at 500 °C has 1.10×1015 vacancies/cm³. The atomic weight of Cu is 63.55 g/mol and the
density at this temperature is 8.96 g/cm³. Avogadro constant NA ~ 6.022×1023 atoms/mol.
Boltzmann constant (K) - 8.62×10-³ ev/atom • K.
(a) What is the activation energy required to create a vacancy in Cu?
(b) Cu is then cooled to 400 °C. What will be the number of vacancies per cubic centimeter?
Assume that the change in the density in the cooling is negligible.
(a) Derive linear density expressions for FCC [100] and [111] directions in terms of the atomic radius R and (b) compute linear density
values for these two directions for silver.
(a)
[100]: i
[111]: i
(b)
[100]: i
[111]: i
atom/R
atom/R
1/m
1/m
Show that Ni and Cu are totally soluble in one another using Hume-Rothery rules. Atomic radii, electronegativities
and crystal structures of Ni and Cu are given below.
Ni
Cu
Crystal
Structure
FCC
FCC
Electronegativities
1.9
1.8
r (nm)
0.1246
0.1278
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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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.Similar questions
- Out of every 1000 Tera atoms in pure Si, 28 atoms provide a free electron at room temperature. (1) What is the fraction (to 2 significant figures or will be marked wrong) of Si atoms that produce a conduction electron? (2) What is n, the density of conduction electrons? Answer must be to 2 significant figures or will be marked wrong. [1/m^3] Ne earrow_forwardDraw the following crystal directions within an orthorhombic unit cell: [101], [112], [100], [110], and [021]arrow_forwarda: Sketch within a cubic unit cell the following crystallographic directions: [121], [201], [2 1 3), [111] [121] hi Dats JD fallarrow_forward
- within a orthorhombic unit cell, sketch the following: [213] and [301]arrow_forwardConsider the following face-centered-cubic dislocation reaction: a/2 [110] → a/6 [211] + a/6 [121] a. Prove that the reaction will occur. b. What kind of dislocations are the (a/6)<121>? c. What kind of crystal imperfection results from this dislocation reaction? d. What determines the distance of separation of the (a/6)[211] and the (a/6)[121] dislocations?arrow_forward4- Calculate the linear density of atoms (atoms/cm) in the [100], [110] and [111] directions in FCC copper (ao = 3.62 Ao). 5- Calculate the planner density of atoms (atoms/cm²) in BCC iron (ao = 2.86 Ao) in the (100), (110) and (111) planes.arrow_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_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_forward9. For tetragonal crystals (a = b+ c and a = ß = y = 90°), cite the indices of directions that are equivalent to each of the following directions: (a) [001] (b) [110] (c) [010]arrow_forward
- 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_forwardFor tetragonal crystals, cite the indices of directions that are equivalent to each of the following directions: 2 Your answer is incorrect. [001] 0 0- 1] O [10 1] I- 100]arrow_forwardCalculate the LPF for [101] in a FCC crystal.arrow_forward
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