Foundations of Materials Science and Engineering
6th Edition
ISBN: 9781259696558
Author: SMITH
Publisher: MCG
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Chapter 3.15, Problem 65AAP
To determine
The percentage change in volume of the titanium crystal.
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Vanadium (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. 0.00597
=
0.4961 nm and c =
The unit cell for Cr2O3 has hexagonal symmetry with lattice parameters a
1.360 nm. If the density of this material is 5.22 g/cm³, calculate its atomic packing factor. For this computation
assume ionic radii of 0.062 nm and 0.140 nm, respectively for Cr³+ and O²¯.
3. Molybdenum has a BCC crystal structure, an atomic radius of 0.1363 nm, and an atomic
weight of 95.94 g/mol. Compute its theoretical density.
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
- Sodium 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_forwardSilver 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. 0.21arrow_forwardVanadium has the Body-Centered Cubic (BCC) crystal structure, The edge length "a" of the unit cell of Vanadium is a = 0.3048 nm at room temperature (20°C). Calculate atomic radius "r of Vanadium? Select one. Oa 0.304 O6.0.612 020428 O d. 0.483 Oe 0.132arrow_forward
- The density of a sample of HCP beryllium is 1.844 g/cm 3 , and the lattice parameters are a 0 = 0.22858 nm and c 0 = 0.35842 nm. Calculate (a) the fraction of the lattice points that contains vacancies: and (b) the total number of vacancies in a cubic centimetre of Bearrow_forwardThe accompanying figure shows a unit cell for a hypothetical metal. (a) To which crystal system does this unit cell belong? (b) What would this crystal structure be called? (c) Calculate the density of the material, given that its atomic weight is 145 g/mol. +2 90°i 0.40 nm +y 90° 90° 0.30 nm - 0.30 nmarrow_forwardVanadium has the Body-Centered Cubic (BCC) crystal structure. The edge length "a" of the unit cell of Vanadium is a 0.3048 nm at room %3D temperature (20°C). Calculate atomic radius "r" of Vanadium? Select one: a. 0.488 b. 0.428 c. 0.304 d. 0.612 e. 0,132arrow_forward
- The 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_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_forwardIron has a BCC crystal structure, an atomic radius of 0.124 nm, and an atomic weight of 55.85 g/mol. Compute its theoretical density and compare with its experimental density, which is 7.87 g/cm3. Which one is higher? O Experimental density is higher. O Not enough information to compute the theoretical density. O Theoretical density is higher. O Neither. Both are equal.arrow_forward
- For austenitic stainless steel, Cu, and Al (all FCC metals): a. Calculate the actual magnitudes of the full and partial dislocations, assuming that the lattice parameters are 0.365 nm, 0.362 nm, and 0.405 nm, respectively. b. Calculate the equilibrium partial dislocation separation distance d for all three materials. c. Put the numbers from part (b) in context by comparing them to the atomic size (diameter) and lattice parameter for each material. d. In which of the three material(s) is wavy glide very likely to be observed?arrow_forwardSolve the following Problem * Iodine has an orthorhombic unit cell for which the a, b, and c lattice parameters are 0.479, 0.725, and 0.978 nm, respectively. (a) If the atomic packing factor and atomic radius are 0.547 and 0.177 nm, respectively, de- termine the number of atoms in each unit cell. (b) The atomic weight of iodine is 126.91 g/mol; compute its theoretical density.arrow_forward7- Cooling tin metal from room temperature to temperatures below 13.2°C results in crystal change from White (B) tin tetragonal structure to Gray (a) tin diamond cubic structure. White (B) tin 13.2°C Cooling Gray (a) tin The lattice parameters of (B) tin are: a = b = 0.40 nm, c = 0.34 nm. For a diamond cubic structure: 8R=a√3 Calculate the volume change due to structure change upon cooling to temperature below 13.2 °C.arrow_forward
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