Concept explainers
(a)
The at%of each element in overall crystal.
(a)
Answer to Problem 37AAP
The at% of nickel and copper in overall crystal is
Explanation of Solution
Express the at% of nickel.
Here, number of atoms of nickel is
Express the at% of copper.
Here, number of atoms of copperis
Conclusion:
Substitute
Substitute
Hence, the at% of nickel and copper in overall crystal is
(b)
The defect density in at%.
(b)
Answer to Problem 37AAP
The defect density in at%is
Explanation of Solution
Express the defect density in at%.
Conclusion:
Substitute
Hence, the defect density in at% is
(c)
The wt% of each metal.
(c)
Answer to Problem 37AAP
The wt% of nickel is
Explanation of Solution
Express the mass of each nickel atom.
Here, molar mass of nickel is
Express the mass of each copper atom.
Here, molar mass of copperis
Express the total mass of nickel and copper atoms.
Express the wt% of nickel.
Express the wt% of copper.
Conclusion:
Write the molar mass of copper, nickel and number of atom per mole or Avogadro number.
Substitute
Substitute
Substitute
Substitute
Substitute
Hence, the wt% of nickel is
Want to see more full solutions like this?
Chapter 4 Solutions
Foundations of Materials Science and Engineering
- A 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_forwardFor 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_forwardWrite down the Miller-Bravais index of the a-plane of the HCP Zn pure metal and draw the atomic arrangement of the a-plane cross-section with reference to the FCC example below.arrow_forward
- Calculate the number of vacancies per cubic meter for some metal, M, at 811°C. The energy for vacancy formation is 0.89 eV/atom, while the density and atomic weight for this metal are 6.96 g/cm3 (at 811°C) and 55.72 g/mol, respectively.arrow_forwardLong Question:What are different types of lattice defects?Note: submit assignment in word formatarrow_forwardA small-angle tilt boundary has a misorientation of 0.1◦. What is thespacing between the dislocations in this boundary if the Burgers vector ofthe dislocation is 0.33 nm?arrow_forward
- a. Molybdenum at 20°C has Body Centered Cubic (BCC) crystal structure with an atomic radius, R of 0.140 nm. Draw the BCC crystal, identify the relationship between atomic radius, R and lattice constant, a. Calculate the atomic packing factor (APF) for Molybdenum at 20°C. b. What is grain boundary and state the importance of grain boundariesarrow_forwardIron (Fe) undergoes an allotropic transformation at 912°C: upon heating from a BCC (α phase) to an FCC (γ phase). Accompanying this transformation is a change in the atomic radius of Fe—from RBCC = 0.12584 nm to RFCC = 0.12894 nm—and, in addition, a change in density (and volume). Compute the percentage volume change associated with this reaction. Indicate a decreasing volume by a negative number.arrow_forwardCalculate the number of vacancies per cm3 expected in copper at 1080°C (just below the melting temperature). The energy for vacancy formation is 20,000 cal/mol.arrow_forward
- How phases grow in alloys during crystal growtharrow_forward3. 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.arrow_forwardSuppose you would like to introduce an interstitial and a large substitutional atom in the crystal near a dislocation.Would the atom fit more easily above or below the dislocation line?Explain.arrow_forward
- Elements Of ElectromagneticsMechanical EngineeringISBN:9780190698614Author:Sadiku, Matthew N. O.Publisher:Oxford University PressMechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSONThermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
- Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEYMechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage LearningEngineering Mechanics: StaticsMechanical EngineeringISBN:9781118807330Author:James L. Meriam, L. G. Kraige, J. N. BoltonPublisher:WILEY