Questions and Answers of Materials Science Engineering

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Cite the difference between atomic mass and atomic weight.

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Chromium has four naturally-occurring isotopes: 4.34% of 50Cr, with an atomic weight of 49.9460 amu, 83.79% of 52Cr, with an atomic weight of 51.9405

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(a) How many grams are there in one amu of a material?(b) Mole, in the context of this book, is taken in units of gram-mole. On this basis, how many

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(a) Cite two important quantum-mechanical concepts associated with the Bohr model of the atom.(b) Cite two important additional refinements that

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Relative to electrons and electron states, what does each of the four quantum numbers specify?

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Allowed values for the quantum numbers of electrons are as follows:The relationships between n and the shell designations are noted in Table 2.1.

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Give the electron configurations for the following ions: Fe2+, Al3+, Cu+, Ba2+, Br-, and O2-.

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Sodium chloride (NaCl) exhibits predominantly ionic bonding. The Na+ and Cl- ions have electron structures that are identical to which two

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With regard to electron configuration, what do all the elements in Group VIIA of the periodic table have in common?

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To what group in the periodic table would an element with atomic number 114 belong?

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Without consulting figure or Table 2.2, determine whether each of the electron configurations given below is an inert gas, a halogen, an alkali

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(a) What electron subshell is being filled for the rare earth series of elements on the periodic table?(b) What electron subshell is being filled for

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Calculate the force of attraction between a K+ and an O2- ion the centers of which are separated by a distance of 1.5 nm.

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The net potential energy between two adjacent ions, EN, may be represented by the sum of Equations 2.8 and 2.9; that is,Calculate the bonding energy

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For a K+–Cl– ion pair, attractive and repulsive energies EA and ER, respectively, depend on the distance between the ions r, according toFor

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Consider a hypothetical X+-Y- ion pair for which the equilibrium interionic spacing and bonding energy values are 0.35 nm and -6.13eV, respectively.

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The net potential energy EN between two adjacent ions is sometimes represented by the expressionin which r is the interionic separation and C, D, and

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(a) Briefly cite the main differences between ionic, covalent, and metallic bonding.(b) State the Pauli Exclusion Principle.

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Compute the percents ionic character of the interatomic bonds for the following compounds: TiO2, ZnTe, CsCl, InSb, and MgCl2.

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Make a plot of bonding energy versus melting temperature for the metals listed in Table 2.3. Using this plot, approximate the bonding energy for

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Using Table 2.2, determine the number of covalent bonds that are possible for atoms of the following elements: germanium, phosphorus, selenium, and

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What type(s) of bonding would be expected for each of the following materials: brass (a copper-zinc alloy), rubber, barium sulfide (BaS), solid

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Explain why hydrogen fluoride (HF) has a higher boiling temperature than hydrogen chloride (HCl) (19.4 vs. –85°C), even though HF has a lower

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What is the difference between atomic structure and crystal structure?

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If the atomic radius of aluminum is 0.143 nm, calculate the volume of its unit cell in cubic meters.

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Show for the body-centered cubic crystal structure that the unit cell edge length a and the atomic radius R are related through a =4R/√3.

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For the HCP crystal structure, show that the ideal c/a ratio is 1.633

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Show that the atomic packing factor for BCC is 0.68.

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Show that the atomic packing factor for HCP is 0.74.

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Iron has a BCC crystal structure, an atomic radius of 0.124 nm, and an atomic weight of 55.85 g/mol. Compute and compare its theoretical density with

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Calculate the radius of an iridium atom, given that Ir has an FCC crystal structure, a density of 22.4 g/cm3, and an atomic weight of 192.2 g/mol.

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Calculate the radius of a vanadium atom, given that V has a BCC crystal structure, a density of 5.96 g/cm3, and an atomic weight of 50.9 g/mol.

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Some hypothetical metal has the simple cubic crystal structure shown in figure. If its atomic weight is 70.4 g/mol and the atomic radius is 0.126 nm,

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Zirconium has an HCP crystal structure and a density of 6.51 g/cm3.(a) What is the volume of its unit cell in cubic meters?(b) If the c/a ratio is

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Using atomic weight, crystal structure, and atomic radius data tabulated inside the front cover, compute the theoretical densities of lead, chromium,

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Rhodium has an atomic radius of 0.1345 nm and a density of 12.41 g/cm3. Determine whether it has an FCC or BCC crystal structure.

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Below are listed the atomic weight, density, and atomic radius for three hypothetical alloys. For each determine whether its crystal structure is

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The unit cell for tin has tetragonal symmetry, with a and b lattice parameters of 0.583 and 0.318 nm, respectively. If its density, atomic weight,

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Iodine has an orthorhombic unit cell for which the a, b, and c lattice parameters are 0.479, 0.725, and 0.978 nm, respectively.(a) If the atomic

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Titanium has an HCP unit cell for which the ratio of the lattice parameters c/a is 1.58. If the radius of the Ti atom is 0.1445 nm,(a) Determine the

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Zinc has an HCP crystal structure, a c/a ratio of 1.856, and a density of 7.13 g/cm3. Compute the atomic radius for Zn.

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Rhenium has an HCP crystal structure, an atomic radius of 0.137 nm, and a c/a ratio of 1.615. Compute the volume of the unit cell for Re.

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Below is a unit cell for a hypothetical metal.(a) To which crystal system does this unit cell belong?(b) What would this crystal structure

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Sketch a unit cell for the body-centered orthorhombic crystal structure.

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List the point coordinates for all atoms that are associated with the FCC unit cell(figure).

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List the point coordinates of the titanium, barium, and oxygen ions for a unit cell of the perovskite crystal structure(figure).

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List the point coordinates of all atoms that are associated with the diamond cubic unit cell(figure).

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Sketch a tetragonal unit cell, and within that cell indicate locations of the ½ 1 ½ and ¼ ½ ¾ point coordinates.

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Using the Molecule Definition Utility found in both “Metallic Crystal Structures and Crystallography” and “Ceramic Crystal Structures”

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Draw an orthorhombic unit cell, and within that cell a [121] direction.

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Sketch a monoclinic unit cell, and within that cell a [011] direction.

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What are the indices for the directions indicated by the two vectors in the sketch below?

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Within a cubic unit cell, sketch the following directions:(a)[110],(b)[121],(c)[012],(d)[133],(e)[111],(f)[122],(g)[123],(h)[103],

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Determine the indices for the directions shown in the following cubic unitcell:

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Determine the indices for the directions shown in the following cubic unitcell:

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For tetragonal crystals, cite the indices of directions that are equivalent to each of the following directions:(a) [001](b) [110](c) [010]

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Convert the [100] and [111] directions into the four-index Miller–Bravais scheme for hexagonal unit cells.

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Determine indices for the directions shown in the following hexagonal unit cells:

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Sketch the [1123] and [1010] directions in a hexagonal unit cell.

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Using Equations 3.6a, 3.6b, 3.6c, and 3.6d, derive expressions for each of the three primed indices set (u′, v′, and w′) in terms of the four

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(a) Draw an orthorhombic unit cell, and within that cell a (210) plane.(b) Draw a monoclinic unit cell, and within that cell a (002) plane.

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What are the indices for the two planes drawn in the sketchbelow?

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Sketch within a cubic unit cell the following planes:(a) (011),(b) (112),(c) (102),(d) (131),(e) (111),(f) (122),(g) (123),(h) (013)

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Determine the Miller indices for the planes shown in the following unitcell:

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Determine the Miller indices for the planes shown in the following unitcell:

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Determine the Miller indices for the planes shown in the following unitcell:

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Cite the indices of the direction that results from the intersection of each of the following pair of planes within a cubic crystal:(a) (100) and

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Sketch the atomic packing of(a) The (100) plane for the BCC crystal structure, and(b) The (201) plane for the FCC crystal structure (similar to

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Consider the reduced-sphere unit cell shown in Problem 3.20, having an origin of the coordinate system positioned at the atom labeled with an O. For

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Here are shown the atomic packing schemes for several different crystallographic directions for some hypothetical metal. For each direction the

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Below are shown three different crystallographic planes for a unit cell of some hypothetical metal. The circles represent atoms:(a) To what crystal

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Convert the (010) and (101) planes into the four-index Miller–Bravais scheme for hexagonal unit cells.

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Determine the indices for the planes shown in the hexagonal unit cells below:(a)(b)(c)(d)

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Sketch the (1101) and (1120) planes in a hexagonal unit cell.

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(a) Derive linear density expressions for FCC [100] and [111] directions in terms of the atomic radius R.(b) Compute and compare linear density

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(a) Derive linear density expressions for BCC [110] and [111] directions in terms of the atomic radius R.(b) Compute and compare linear density

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(a) Derive planar density expressions for FCC (100) and (111) planes in terms of the atomic radius R.(b) Compute and compare planar density values

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(a) Derive planar density expressions for BCC (100) and (110) planes in terms of the atomic radius R.(b) Compute and compare planar density values

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(a) Derive the planar density expression for the HCP (0001) plane in terms of the atomic radius R.(b) Compute the planar density value for this same

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Explain why the properties of polycrystalline materials are most often isotropic.

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Using the data for molybdenum in Table 3.1, compute the interplanar spacing for the (111) set ofplanes.

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Determine the expected diffraction angle for the first-order reflection from the (113) set of planes for FCC platinum when monochromatic radiation of

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Using the data for aluminum in Table 3.1, compute the interplanar spacing’s for the (110) and (221) sets of planes.

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The metal iridium has an FCC crystal structure. If the angle of diffraction for the (220) set of planes occurs at 69.22( (first-order reflection)

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The metal rubidium has a BCC crystal structure. If the angle of diffraction for the (321) set of planes occurs at 27.00( (first-order reflection)

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For which set of crystallographic planes will a first-order diffraction peak occur at a diffraction angle of 46.21( for BCC iron when monochromatic

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Figure shows an x-ray diffraction pattern for a-iron taken using a diffract meter and monochromatic x-radiation having a wavelength of 0.1542 nm;

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The diffraction peaks shown in figure are indexed according to the reflection rules for BCC (i.e., the sum h + k + l must be even). Cite the h, k,

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Figure shows the first four peaks of the x-ray diffraction pattern for copper, which has an FCC crystal structure; monochromatic x-radiation having a

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Would you expect a material in which the atomic bonding is predominantly ionic in nature to be more or less likely to form a non-crystalline solid

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Calculate the fraction of atom sites that are vacant for lead at its melting temperature of 327°C (600 K). Assume an energy for vacancy formation of

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Calculate the number of vacancies per cubic meter in iron at 850°C. The energy for vacancy formation is 1.08 eV/atom. Furthermore, the

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Calculate the activation energy for vacancy formation in aluminum, given that the equilibrium number of vacancies at 500°C (773 K) is 7.57 × 1023

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Below, atomic radius, crystal structure, electro negativity, and the most common valence are tabulated, for several elements; for those that are

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For both FCC and BCC crystal structures, there are two different types of interstitial sites. In each case, one site is larger than the other, and is

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Derive the following equations:(a) Equation 4.7a(b) Equation 4.9a(c) Equation 4.10a(d) Equation4.11b

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What is the composition, in atom percent, of an alloy that consists of 30 wt% Zn and 70 wt% Cu?

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What is the composition, in weight percent, of an alloy that consists of 6 at% Pb and 94 at% Sn?

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Calculate the composition, in weight percent, of an alloy that contains 218.0 kg titanium, 14.6 kg of aluminum, and 9.7 kg of vanadium.

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What is the composition, in atom percent, of an alloy that contains 98 g tin and 65 g of lead?

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