Foundations of Materials Science and Engineering
6th Edition
ISBN: 9781259696558
Author: SMITH
Publisher: MCG
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Chapter 3.15, Problem 84SEP
To determine
The percentage increase in volume between diamond and graphite.
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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
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/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 00
A hypothetical tetrahedral crystal has the
following lattice parameters:
a = b = 0.40 nm, c = 0.5 nm, a = B = y = 90°.
Please write the indices of all planes/directions that belong to the family of (i) {100}
and (ii)
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
- Vanadium 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_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 nm +Xarrow_forwardAluminum metal was determined to have an atomic weight of 26.9815 g/mol and an atomic radius of 0.1431 nm. Calculate the density of solid crystalline if it is FCC.arrow_forward
- = 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¯.arrow_forward3. Beryllium (Be) is an HCP structure with a=0.22858 nm and c=0.35842 nm. The atomic radius is 0.1143 nm, the density is 1.848 g/cm3, and the atomic mass is 9.01 g/mol. In this case, find (a) the number of atoms in the single crystal and (b) the atomic filling rate of the unit crystal.arrow_forward1 Aluminum Slip System Identification Aluminum has a lattice parameter of 0.405 nm and a density of 2.71 g/cc at room temperature. (a) Based on this information, and taking into account the atomic weight, demonstrate that Al has an FCC crystal structure. (b) Draw a unit cell of Al. Identify and draw a plane in the {100} family that is neither (100) nor (100). What is the planar density of this family of planes? (c) Draw another unit cell of Al. Identify and draw a plane in the {101} family that is neither (101) nor (101). What is the planar density of this family of planes? (d) Draw another unit cell of Al. Identify and draw a plane in the {111} family that is neither (111) nor (111). What is the planar density of this family of planes? (e) of the three planes you just drew, which one is close-packed? In this plane, what family of directions has the highest linear density? (The densest direction of the densest plane of a crystal structure form something called a slip system, which will…arrow_forward
- The 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_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_forwardCalculate the radius of the atomic structure with a density of 0.541g/cm^3 and an atomic weight of 63.4g/mol It has an FCC crystal structure. Your answer should be in nm and 3 decimal places. Enter ONLY the number as an answer. Answer:arrow_forward
- A hypothetical metal has the BCC crystal structure, a density of 7.24 g/cm, and an atomic weight of 48.9 g/mol. Please calculate the atomic radius of this metal. Some useful equations are provided below. a= 2R/2 a = 2R3 !! nA VNA O 0.122 nm O 0.567 nm 0.745 nm 1.23 nmarrow_forwardLead has FCC crystal structure. If the atomic weight of Pb is 207.2 g/mol and density of 11.36 g/cm^3, solve for the atomic radius of Pb. (Provide complete solution and the final answer in pm unit and tenths decimal place.)arrow_forwardCopper has an atomic radius of 0.128 nm, an FCC crystal structure, and an atomic weight of 63.5 (a.m.u). Compute its theoretical density. Also , compute the theoretical density if the crystal structure is BCC.arrow_forward
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