Foundations of Materials Science and Engineering
6th Edition
ISBN: 9781259696558
Author: SMITH
Publisher: MCG
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Chapter 4.8, Problem 38AAP
(a)
To determine
Calculate the radius of the largest interstitial void in the BCC
(b)
To determine
If an iron atom occupies this interstitial void, how many iron atom neighbours will it have, or in other words, what will its coordination number be?
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3. BCC Li has a lattice parameter, ao, of 0.35089 nm and contains 1 vacancy per 300 unit cells at 200 C.a) Calculate the number of vacancies/cubic centimeterb) For the number of vacancies given in the problem statement (i.e. 1 vacancy per 300 units cells), determine the corresponding density of the Li sample.
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Chapter 4 Solutions
Foundations of Materials Science and Engineering
Ch. 4.8 - Prob. 1KCPCh. 4.8 - Define the homogeneous nucleation process for the...Ch. 4.8 - In the solidification of a pure metal, what are...Ch. 4.8 - In the solidification of a metal, what is the...Ch. 4.8 - During solidification, how does the degree of...Ch. 4.8 - Distinguish between homogeneous and heterogeneous...Ch. 4.8 - Describe the grain structure of a metal ingot that...Ch. 4.8 - Distinguish between equiaxed and columnar grains...Ch. 4.8 - How can the grain size of a cast ingot be refined?...Ch. 4.8 - Prob. 10KCP
Ch. 4.8 - Prob. 11KCPCh. 4.8 - Prob. 12KCPCh. 4.8 - Distinguish between a substitutional solid...Ch. 4.8 - What are the conditions that are favorable for...Ch. 4.8 - Prob. 15KCPCh. 4.8 - Prob. 16KCPCh. 4.8 - Prob. 17KCPCh. 4.8 - Prob. 18KCPCh. 4.8 - Describe the structure of a grain boundary. Why...Ch. 4.8 - Describe and illustrate the following planar...Ch. 4.8 - Prob. 21KCPCh. 4.8 - Describe the optical metallography technique. What...Ch. 4.8 - Prob. 23KCPCh. 4.8 - Prob. 24KCPCh. 4.8 - Prob. 25KCPCh. 4.8 - Prob. 26KCPCh. 4.8 - Prob. 27KCPCh. 4.8 - Prob. 28KCPCh. 4.8 - Prob. 29KCPCh. 4.8 - Prob. 30KCPCh. 4.8 - Prob. 31KCPCh. 4.8 - Calculate the size (radius) of the critically...Ch. 4.8 - Prob. 33AAPCh. 4.8 - Prob. 34AAPCh. 4.8 - Calculate the number of atoms in a critically...Ch. 4.8 - Prob. 36AAPCh. 4.8 - Prob. 37AAPCh. 4.8 - Prob. 38AAPCh. 4.8 - Prob. 39AAPCh. 4.8 - Prob. 40AAPCh. 4.8 - Prob. 41AAPCh. 4.8 - Prob. 42AAPCh. 4.8 - Determine, by counting, the ASTM grain-size number...Ch. 4.8 - Prob. 44AAPCh. 4.8 - For the grain structure in Problem 4.43, estimate...Ch. 4.8 - Prob. 46AAPCh. 4.8 - Prob. 47SEPCh. 4.8 - Prob. 48SEPCh. 4.8 - Prob. 49SEPCh. 4.8 - Prob. 50SEPCh. 4.8 - In Chapter 3 (Example Problem 3.11), we calculated...Ch. 4.8 - Prob. 52SEPCh. 4.8 - Prob. 53SEPCh. 4.8 - Prob. 54SEPCh. 4.8 - Prob. 55SEPCh. 4.8 - Prob. 56SEPCh. 4.8 - Prob. 57SEPCh. 4.8 - Prob. 58SEPCh. 4.8 - Prob. 59SEPCh. 4.8 - Prob. 60SEPCh. 4.8 - Prob. 61SEPCh. 4.8 - Prob. 62SEPCh. 4.8 - Prob. 63SEPCh. 4.8 - Prob. 64SEPCh. 4.8 - Prob. 65SEPCh. 4.8 - Prob. 66SEP
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- A 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_forwardProf that the relation between atomic radius and lattice constant for FCC is a- 4r/V3 ? Question #3/ The atomic weight 207.2 (g/mol), crystal structure FCC, and atomic radius 0.175 nm, compute the theoretical densities of leadarrow_forwardA metal crystallizes in the face‑centered cubic (FCC) lattice. The density of the metal is 12020 kg/m3, and the length of a unit cell edge, ?, is 389.08 pm. Calculate the mass of one metal atom.arrow_forward
- Calculate the number of vacancies per cubic meter in gold (Au) at 900C. The energy for vacancy formation is 0.98 eV/atom. Furthermore, the density and atomic weight for Au are 18.63 g/cm3 (at 900C) and 196.9 g/mol, respectively.arrow_forwardCalculate the radii of the largest void found in an FCC iron lattice in units of [pm] with a lattice parameter of 0.357 nm. The radius of an iron atom is approximately 0.124 nm A) 0.15 B) 10 C) 31 D) 55arrow_forwardTin atoms are introduced into an FCC copper crystal, producing an alloy with a lattice parameter of 3.7589 3 10–8 cm and a density of 8.772 g/cm3. Calculate the atomic percentage of tin present in the alloyarrow_forward
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