Foundations of Materials Science and Engineering
6th Edition
ISBN: 9781259696558
Author: SMITH
Publisher: MCG
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Chapter 3.15, Problem 26AAP
To determine
Show that the atomic packing factor for the face-centered cubic structure is
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Silver Ag has the fcc crystal structure as shown in the figure below.
Determine its atomic packing factor APF?
Given:
The radius of Germanium: r(Ag)= 0.144 nm.

Select one:
a. 0.14
b. 0.34
c. 0.68
d. 0.12
e. 0.4
f. 0.51
g. 0.74
h. 0.21
Define the Atomic Packing Factor and explain its significance. If metal A has a higher APF than metal B, how do the properties of A compare to B
Calculate the density in g / cm3 of a metal with a structure fcc molecular mass of 100g / mol and an atomic radius of 0.145nm
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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- Platinum is a metal having a FCC crystal structure with a density p= 21.45 kg/m3. Calculate the lattice constant for this crystal as well as the atomic radius of platinumarrow_forwardThe density of BCC iron is 7.882g/cm3 and the lattice parameter is 0.2866nm when hydrogen atoms are introduced at interstitial positions. Calculate(a) the atomic fraction of hydrogen atoms; and(b) number of unit cells on average that contain hydrogen atoms.arrow_forwardSilver Ag has the fcc crystal structure as shown in the figure below. Determine its atomic packing factor APF? Given: The radius of Germanium: rAg= 0.144 nm. Select one: Oa. 0.68 Ob.0.34 Od.o.14 te.0.74 1012 g.0.21 h.0.51arrow_forward
- Show that the atomic packing factor for BCC is 0.68.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_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
- Fe has a BCC structure and an atomic radius of 0.126 nm. The atomic mass of Fe is 55.85 g/mol & Avogadro's No. is 6.023 x 1023. Calculate the density of Fe.arrow_forwardIf the atomic radius for Pb- 0.175nm and the crystal structure is FCC, calculate the atoms numbers in the unit cell, find the relation between atomic radius and lattice constant and what is the atomic packing factorarrow_forwardBeryllium with a crystalline structure HCP lattice constant c / a = 1.568 and the radius of the atom is 0.1143nm (calculate the volume of the unit cell and calculate the theoretical density if you know that the atomic weight A = 9.01g / mol)arrow_forward
- b. Given that Na = 6.022x1023 atoms/mol. Calculate the theoretical density of nickel. Show your calculations.arrow_forwardAn atom crystallizes in FCC crystal lattice and has a density of 10 g/ cm 3 with unit cell edge length of 100 pm. Calculate the number of atoms present in 1 g of the crystal.arrow_forwardSketch an fcc lattice unit cell (lattice constant = 5 À) with a monoatomic basis, and calculate the atomic density per unit area on (110) planes. What is the atomic density per unit volume? Indicate an interstitial defect in this cell.arrow_forward
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