Foundations of Materials Science and Engineering
6th Edition
ISBN: 9781259696558
Author: SMITH
Publisher: MCG
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Chapter 3.15, Problem 37AAP
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Rhodium (Rh) has the Face-Centered Cubic (FCC) crystal structure. The atomic radius of Rhodium is r= 0.134 nm at room temperature
(20°C).
Calculate the edge length "a" of the unit cell
Select one:
Oa 0.379
Ob.0.428
Oc 0.612
Od0.488
O e. 0.233
The indices for the direction shown in the figure are:
10:13 PM
15-Apr-2021
(1) Atomic radius of a copper atom is 128nm. Copper has an FCC crystal structure. Find the linear density along (111]
direction.
Question-7
Calculate the volume in cubic nanometers of the titanium crystal structure unit cell. Lattice constants for titanium
at 20°C are a = 0.29504 nm and c = 0.46833 nm.
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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- 4- 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_forwarda) 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_forward4. Platinum (atomic radius = 1.38 Å) crystallizes in a cubic closely packed structure. Calculate the edge length of the face- centered cubic unit cell and the density of platinum.arrow_forward
- Calcium has the Face-Centered Cubic (FCC) crystal structure shown in the figure below. The atomic radius of calcium is r = 0.197 nm at room temperature (20°C). Calculate the edge length "a" of the unit cell Select one: a. None of these O b. 0.612 O c. 0.488 O d. 0.333 e. 0.557arrow_forwardb. Given that Na = 6.022x1023 atoms/mol. Calculate the theoretical density of nickel. Show your calculations.arrow_forwardRhodium (Rh) has the Face-Centered Cubic (FCC) crystal structure. The atomic radius of Rhodium is r = 0.134 nm at room temperature (20°C). Calculate the edge length “a” of the unit cell  Select one: a. 0.612 b. 0.488 c. 0.379 d. 0.233 e. 0.428arrow_forward
- Answer the following question with drawing the atom configurations of the plane or direction.What is the planar density for the (110) plane in a FCC structure?arrow_forward1- The density of the elemental magnesium crystal structure, which is in the face centered cubic structure, is 1,738 g / cm3. Specify the side lengths of the crystal lattice. 2-Polonium is an element with a simple cubic crystal arrangement. Find the radius of the polonium atoms in this structure with a density of 9.4 g / cm3 and a weight of 209 g / atom. 3- A wire with a diameter of 9.6 mm is pulled with a force of 18,000 N. With this loading, the initial length of the wire that grows 1.5 mm is 400 mm. Find the engineering voltage.arrow_forwardQuestion 3: a) Draw the following planes in a cubic cell: (102), (131) and (013) b) Draw the following crystallographic directions in a cubic lattice: [11], [012], [103].1arrow_forward
- answer as soon Solve the linear densities of the direction [100] and [110] on aluminium which has a face centered cubic (FCC) structure. Given the atomic radius of the aluminium is 0.143 nm.arrow_forwardProblem #4 a) Find the indices for the directions indicated by the two vectors in the shown sketch below 0.5 mm 0.4 mm 0.7 mm Direction 1 Direction 2 ty b) Sketch the following directions within a cubic unit cell: (a) [123], (b) [211], (c) [102], (d) [133]. c) Sketch the following planes within a cubic unit cell: (a) (011), (b) (102), (c) (112), and (d) (131)arrow_forwardHelp me pleasearrow_forward
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