Foundations of Materials Science and Engineering
6th Edition
ISBN: 9781259696558
Author: SMITH
Publisher: MCG
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Chapter 3.15, Problem 66AAP
To determine
The percentage change in volume of the iron crystal.
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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
Silver 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.0.51
2. Niobium has an atomic radius of 0.1430 nm and a density of 8.57 g/cm³.
Determine whether it has an FCC or BCC crystal structure.
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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- Iron(Fe) is unusual in that it transforms from a BCC to an FCC structure at high temperature. Calculate the ratio of the densities of FCC-iron and BCC-iron . find the value of the expression shownarrow_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_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/mm3? Given: Avogadro’s Number NA = 0.6023 × 1024 (atoms/mole) Select one: a. 1.5 b. 0.021 c. 0.011 d. 0.0087 e. 0.00597arrow_forward
- 1. When Au comes into contact with Ag, it creates a solid solution that is called a substitutional solid solution. Calculate the amount of Au atoms per cubic centimeter in an Ag–Au alloy with 10% Au and 90% Ag. Pure Au has a density of 19.32 g/cm3 and pure Ag has a density of 10.49 g/cm3. 2. What is the atomic radius of nickel (in A) if it follows an FCC crystal structure, given that Nickel has a density of 8.9 g/mL and an atomic weight of 58.7 g/mol. 3. If 25 grains per square inch are measured at 100x magnification, what is the ASTM grain size number of the metal specimen?arrow_forwardShow 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 0.1278arrow_forwardA metal crystallizes in the face‑centered cubic (FCC) lattice. The density of the metal is 1202012020 kg/m3, and the length of a unit cell edge, ?a, is 389.08389.08 pm. Calculate the mass of one metal atom. mass: gg Identify the metal. platinum gold silver palladiumarrow_forward
- A particular element with an atomic mass of 32.5g/mole has an FCC structure and has a density of 2200kg m-3. Estimate the atomic radius of the element from that data. Show all working and include units in your results.arrow_forwardA Lanthanum (atomic mass 138.91 g/mol) sample has a lattice parameter 3.77Å. Assume it contains 514 vacancies per 200 unit cells. Calculate (a) the number of vacancies per cm³, (b) density of the sample and (c) compare the number of vacancies per unit cell between the sample given and a perfect Lanthanum sample. Assume T=400C.*arrow_forwardLead has an FCC crystal lattice and atomic radius of 0.175 nm. Find the volume of the unit cell of lead in m^3. Express answer in exponential notation up to two decimal places using caret ^ to denote the exponents and unit in m^3.arrow_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_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_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
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