Manufacturing Engineering & Technology
7th Edition
ISBN: 9780133128741
Author: Serope Kalpakjian, Steven Schmid
Publisher: Prentice Hall
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Chapter 1, Problem 44QTP
To determine
Show that the lattice constant
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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
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(b) the total number of vacancies in a cubic centimetre of Be
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.
A hypothetical metal has the BCC crystal structure, a density of 7.24 g/cm3, and an atomic weight of 48.9 g/mol. The atomic radius of this metal is
Chapter 1 Solutions
Manufacturing Engineering & Technology
Ch. 1 - What is the difference between an atom and a...Ch. 1 - Prob. 2RQCh. 1 - Prob. 3RQCh. 1 - Prob. 4RQCh. 1 - Define anisotropy. What is its significance?Ch. 1 - What effects does recrystallization have on the...Ch. 1 - What is strain hardening, and what effects does it...Ch. 1 - Explain what is meant by structure-sensitive and...Ch. 1 - Prob. 9RQCh. 1 - What influence does grain size have on the...
Ch. 1 - What is the relationship between the nucleation...Ch. 1 - What is a slip system, and what is its...Ch. 1 - Explain the difference between recovery and...Ch. 1 - What is hot shortness, and what is its...Ch. 1 - Explain the advantages and limitations of cold,...Ch. 1 - Describe what the orange peel effect is. Explain...Ch. 1 - Some metals, such as lead, do not become stronger...Ch. 1 - Describe the difference between preferred...Ch. 1 - Differentiate between stress relaxation and stress...Ch. 1 - What is twinning? How does it differ from slip?Ch. 1 - Prob. 21QLPCh. 1 - What is the significance of the fact that some...Ch. 1 - Is it possible for two pieces of the same metal to...Ch. 1 - Prob. 24QLPCh. 1 - A cold-worked piece of metal has been...Ch. 1 - What materials and structures can you think of...Ch. 1 - Two parts have been made of the same material, but...Ch. 1 - Do you think it might be important to know whether...Ch. 1 - Explain why the strength of a polycrystalline...Ch. 1 - Describe the technique you would use to reduce the...Ch. 1 - What is the significance of the fact that such...Ch. 1 - Prob. 32QLPCh. 1 - It has been noted that the more a metal has been...Ch. 1 - Is it possible to cold work a metal at...Ch. 1 - Comment on your observations regarding Fig. 1.14.Ch. 1 - Is it possible for a metal to be completely...Ch. 1 - Prob. 37QTPCh. 1 - Prob. 38QTPCh. 1 - Plot the data given in Table 1.1 in terms of...Ch. 1 - A strip of metal is reduced from 30 mm in...Ch. 1 - Prob. 41QTPCh. 1 - How many grains are there on the surface of the...Ch. 1 - Prob. 43QTPCh. 1 - Prob. 44QTPCh. 1 - Prob. 45QTPCh. 1 - A technician determines that the grain size of a...Ch. 1 - If the diameter of the aluminum atom is 0.28 nm,...Ch. 1 - The following data are obtained in tension tests...Ch. 1 - Prob. 50QTPCh. 1 - Prob. 51QTPCh. 1 - Prob. 52QTPCh. 1 - Same as Prob. 1.39, but ASTM no. versus...Ch. 1 - By stretching a thin strip of polished metal, as...Ch. 1 - Draw some analogies to mechanical fiberingfor...Ch. 1 - Draw some analogies to the phenomenon of hot...Ch. 1 - Take a deck of playing cards, place a rubber band...Ch. 1 - Give examples in which anisotropy is scale...Ch. 1 - The movement of an edge dislocation was described...
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- Calculate the number of vacancies per cubic meter for some metal, M, at 806°C. The energy for vacancy formation is 0.88 eV/atom, while the density and atomic weight for this metal are 5.24 g/cm^ (at 806°C) and 44.02 g/mol, respectively.arrow_forwardThe crystalline density of polypropyleneis 0.946 g>cm3, and its amorphous densityis 0.855 g>cm3. What is the weight percentof the structure that is crystalline ina polypropylene that has a density of0.9 g>cm3?arrow_forwardbriefly explain how with the help of x-ray diffraction techniques, the lattice dimensions are determinedarrow_forward
- Define the difference between elastic and plastic deformation in terms of the effect on the crystal lattice structure.arrow_forwardNickel has the fcc crystal structure and a lattice parameter of a = 0.3517 nm. Using this information, determine the atomic radius of Ni in angstroms.arrow_forwardLead has an FCC crystal lattice and atomic radius of 0.175 nm. Find the volume of the unit cell of lead in m^3. Express answer in exponential notation up to two decimal places using caret ^ to denote the exponents and unit in m^3.arrow_forward
- Calculate the surface density of the lattice atoms that lie on the (100) plane of an FCC crystal??? Please solve it quickly by handwrittenarrow_forwardSuppose that a particular crystal has a primitive unit cell that can be described by the following primitive lattice vectors: NOTE: i, j and k are unit vectors. a1 = √2ai + √2aja2 = (−3a/√2)i +( 3a/√2)ja3 = −√2ai − √2aj + 2√3ak (a) Determine the crystal system of the crystal. (b) Using the reciprocal lattice, determine an expression for the interplanar spacings of the crystal. (c) Suppose that the constant ? has a value of 0.546 nm and that the interplanar spacing for planes with certain unknown Miller indices was measured to be 0.539 nm. Determine an equation satisfied by the Miller indices of the planes and hence suggest which planes they are.arrow_forwardA paper clip has a mass of 10.75 grams and is made of gold. (FCC, R = 0.1442 nm), calculate: a) The number of unit cells in the sample volume. b) The number of atoms contained in the volume of the sample.arrow_forward
- Calculate the number of vacancies per cubic meter in iron at 880 °C. The energy for vacancy formation is 1.08 eV/atom. The density and atomic weight for Fe are 7.65 g/cm3 and 55.85 g/mol, respectively. Express your result in exponential form with 1 decimal place.arrow_forwardCalculate the density in g / cm3 of a metal with a structure fcc molecular mass of 100g / mol and an atomic radius of 0.145nmarrow_forwardFor BCC metal X, compute the interplanar spacing for the 212 set of planes. The lattice parameter for Fe is 0.2194 nm. Round your answer to 2 decimal places.arrow_forward
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