How many independent (directions where the Miller Indices differ by more than a factor of -1) close packed directions are there on the (111) plane? How many close packed directions would there be on a (1 -1 1) plane? Is the (111) plane in Al close packed? In 1-3 bullets explain how you can tell.
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- Grain boundaries are (1) chemically reactive than the grains themselves because of the (2) energy state of grain boundaries. (1) = more, (2) = higher. (1) = more, (2) = lower. (1) = less, (2) = higher. (1) = less, (2) = lower. %3DWhat point defects are possible for Al2O3 as an impurity in MgO? How many Al3+ ions must be added to form each of these defects? Explain.Using additive rule calculate the total ionic polarizability and ionic polarizability per unit volume for Sra. Ce.TiO; with x = 0.0 and 0.1. The polarizability (a ų) of Sr", Ce", Ti“ and O² are listed below. For x = 0.0 and 0.1 the unit cell volume is 59.6 ų and 59.0 ų respectively. LI Be Ne 1.20 0.19 0.05 2.01 1.82 No Mg Al P 1.80 1.32 0.79 0.87 1.22 Ge Ca Sc TI IV 2.93 2.92 1.45 2.64 2.29 1.65 1.23 Cr Mn Fe II. 1 2.23 i NI Cu 12.04 2.11 K V Co Zn Se As 1.50 1.63 Go Br 3.83 3.16 2.81 1.72 Sr 5.29 4.24 3.81 3.25 3.97 Rb Zr Nb Mo Tc Ag Cd In Sn Te IV 4.27 5.23 BI 6.12 Sb 3.40 2.62 2.83 Cs Ba La Hf Ta Re Au Hg TI Pb 7.43 6.40 6.07 4.73 7.28 6.58 Ce Nd Sm Yb Pr 16.15 IV3.94 Pm Dy 4.74 4.83 4.37 4.25 4.07 3.97 3.81 3.02 3.50 3.64 Eu Gd Tb Но Er Tm Lu 5.32 5.01 4.53 Th Pa 4.92 IV 4.45 FIG. 1. Table of ion dielectric polarizabilities given in Å'. o Jn
- A first order reflection from the (123) planes of a cubic crystal was observed at an angle of e = 24.8 ° when X-rays of wavelength 154 pm were used. 1 h k? 1? d u? b? na = 2d sin e -= - hki (i) Determine the length of the side of the unit cell.Q1- Choose the correct answer for the following (Justify your answer): 1-The direction indices for the crystallographic direction indicated by the vector are a) [101] b) [ī 1 0] c) [110] d) [111] X 2-A metal has an FCC structure with a lattice parameter of 0.362 nm and atomic weight of 63.54 g/mole. The metal density in g/cm3 is a) 8.98 b) 897.9 c) 0.11 d) 5846 3- If a load is applied on a wire and its radius is stretched to the double. The Young's modulus will a) be doubled b) be halved c) become four times d) remain unaffected 4- Tensile strength of a material is obtained by dividing the maximum load during the test by the a) minimum area after fracture. b) instantaneous area at fracture. c) original area. d) average of (b) & (c) 5- Increasing crystalline imperfections raises the a) conductivity b) electric field c) velocity d) resistivity9) A Cu monocrystal (FCC) of 10 cm length is pulled in tension. The stress axis is [¯123].a) Which is the stress system with the highest resolved shear stress?(b) If the extension of the crystal continues until a second slip systembecomes operational, what will this system be?(c) What rotation will be required to activate the second system?(d) How much longitudinal strain is required to activate the second system?
- Sketch within a cubic unit cell the given direction and plane. The origin point for the index of direction is 0, 0, 0. [112] and (oīī) -X-ray diffractionanalysis(using a Cu anode)of a specimen with a known cubiccrystal structure reveals that the peak generated as a result of reflection from the (110) plane occurs at a 2θ=32°. Determine the unit cell volume of this materia1. For BCC (body-centered cubic) chromium (Cr, having atomic radium of 0.1249 nm), determine the expected diffraction angle (θ) for the second-order reflection from the (211) set of planes, under monochromatic radiation with a wavelength of 0.0711 nm.
- If a Schottky defect concentration of 6.2 x 1010 /cm3 is observed in Al2O3, what is the total vacancy concentration (in 1/cm3) present in this sample of Al2O3? a. 2.3 x 108b. 3.1 x 1010c. 6.2 x 1010d. 1.24 x 1011e. 3.1 x 1011 When compared to that of a covalent material, the short-range atomic structure of amaterial assembled using ionic bonding can be characterized as having a:a) higher coordination numberb) lower atomic packing factorc) higher atomic packing factord) lower coordinationnumbere) a and c only(e) Platinum has an FCC crystal structure. The atomic radius of platinum is 0.1387 nm. An X-ray diffractometer with a monochromatic radiation of wavelength 0.1542 nm is used is used to analyze a sample of the metal. i. Which of the following planes will produce a peak: (110), (211), or (113)? ii. For the plane producing a peak, calculate its diffraction angle.Carburizing is a process by which the surface (1) concentration of a ferrous alloy is (2) by diffusion from the surrounding environment at high temperatures. (1) = oxygen, (2) = increased. (1) = carbon, (2) = increased. O (1) = oxygen, (2) = decreased. (1) = carbon, (2) = decreased. %3D