Foundations of Materials Science and Engineering
6th Edition
ISBN: 9781259696558
Author: SMITH
Publisher: MCG
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Chapter 4.8, Problem 39AAP
To determine
In Example Problem 4.3, if a carbon atom occupies the interstitial void, how manyiron neighbours will it have, or in other words, what will its coordination number be.
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b. Given that Na = 6.022x1023 atoms/mol. Calculate the theoretical density of
nickel. Show your calculations.
Compute the radius of an octahedral interstitial site in FCC iron (in nm)
Problem 2. (a) Calculate the fraction of atom sites that are vacant for copper (Cu) at its melting
temperature of 1084°C (1357 K). Assume an energy for vacancy formation of 0.90 eV/atom. (b) Repeat
this calculation at room temperature (298 K).
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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- 1. Is there a difference in packing (coordination number) between these two types (FCC and HCP) of structures? 2. Look at the two structures. A small difference in arrangement of atoms causes a dramatic difference in the properties of FCC ductile metals and HCP brittle metals. Can you see it? Try to draw the differences (You can draw the 3-layers separately):arrow_forwardThe fraction of lattice points occupied by vacancies in solid magnesium at 660°C is 10. Compute the activation energy required to create vacancies in magnesium. What are the functien of activation energy in this process. Use Boltzmann constant 1.38 X1023 J/atom-K. 4.arrow_forwardCalculate the fraction of vacant lattice sites for pure copper at 1080oC. The value of the activation energy to create a vacancy in copper is 0.90 eV, its density is 8.94 g/cm3 and its melting point is 1085oC.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_forwardSuppose we introduce one carbon atom for every 100 iron atoms in an interstitial position in BCC iron, giving a lattice parameter of 0.2867 nm. For this steel, find the density and the packing factorarrow_forwardWhat is "Tin Disease"? The crystal Structure of Zinc (Zn) is Hexagonal Closed Packed (HCP). Show that for HCP structure c/a ratio is 1.633 with necessary neat sketches.arrow_forward
- Suppose we introduce one carbon atom for every 100 iron atoms in an interstitial position in BCC iron, giving a lattice parameter of 0.2867 nm. For the Fe-C alloy find the density and the packing factor.arrow_forwardCalculate the fraction of atom sites that are vacant for copper at its melting temperature of 1084degC. assume an energy vacancy formation of 0.90eVlatom. * 6.56 x 10^-5 O 0.9992 O 4.56 x 10^-4 O 2.19 X 10^-4arrow_forwardExplain the number of atoms, coordination number of a FCC cubic structure with a neat diagram.arrow_forward
- 10. Lithium crystallizes in a bcc structure with an edge length of 3.509 Å. Calculate its density. What is the approximate metallic radius of lithium in picometers? (m- 11. is determined by tracing around the dislocation plane to form a circuit and counting the number of the lattice vectors for each side.arrow_forwardQuestion-7 Calculate the volume in cubic nanometers of the titanium crystal structure unit cell. Lattice constants for titanium at 20°C are a = 0.29504 nm and c = 0.46833 nm.arrow_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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