Explain in detail the Type of Materials used in automobile (at least 5 major components) structure and identify the specific material. (b) :. Prove that the atomic packing factor (APF) for the BCC crystal structure is 0.68
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- Chromium (Cr) has the Body-Centered Cubic (BCC) crystal structure. The edge length is a 0.288 nm. What is the linear density in atoms/nm along direction [111P Select one: O a. 7.48 b. 3.18 c. 6.37 d. 4.50 O e. 4.01 Europium has the Body-Centered Cubic (BCC) crystal structure shown in the figure below The radius of the Europium atom is r= 0.204 nm. What is the planar density in atoms/nm im plane (200)2 Plare(200)1. Aluminum has a FCC structure. If the atomic radius of aluminum is 0.143 nm, calculate the volume of its unit cell in cubic meters. 2. Vanadium (V) has a BCC crystal structure, an atomic radius of 0.132 nm, and an atomic weight of 50.94 g/mol. Compute and compare its theoretical density with the experimental value found in the table in Chapter 2. 3. Strontium (Sr) has an FCC crystal structure, an atomic radius of 0.215 nm and an atomic weight of 87.62 g/mol. Calculate the theoretical density for Sr. 4. Determine the indices for the directions shown in the following cubic unit cell: For Direction A +2 A +y +x For Direction B +2 B +y1. Aluminum has a FCC structure. If the atomic radius of aluminum is 0.143 nm, calculate the volume of its unit cell in cubic meters. 2. Vanadium (V) has a BCC crystal structure, an atomic radius of 0.132 nm, and an atomic weight of 50.94 g/mol. Compute and compare its theoretical density with the experimental value found in the table in Chapter 2. 3. Strontium (Sr) has an FCC crystal structure, an atomic radius of 0.215 nm and an atomic weight of 87.62 g/mol. Calculate the theoretical density for Sr. 4. Determine the indices for the directions shown in the following cubic unit cell: For Direction A +z A +y +x For Direction B +z 루루 B +y
- 6. Please indicate which structure belongs to metal, ceramic, polymer and glass ceramics: (a) (b) (c) (d) Crystalline grain Glas phane Mg H H H. MgO: Cubic Structure Cu Lattice (fcc)Consider two hypothetical metallic crystal structures A and b has an fcc and B a bcc lattice structure. Both have the same unit cell volume. The atomic packing factor for a is 0.740 and that for b is 0.680. what is the ratio of the fcc to bcc atomic radii? Select one of the answers below. a. 0.63 b. 0.82 c. 1.21 d. 0.92 e. 0.44Vanadium (V) has a BCC crystal structure. The atomic radius is R = 0.132 nm and the atomic mass is M = 50.94 g/mole. What is the density of Vanadium in g/mm ? Given: Avogadro's Number NA = 0.6023 x 1024 (atoms/mole) Select one: O a, 0.021 O b. 0.011 Oc.1.5 d. 0.0087 e. 0.00597 Potassium (K) has the Body-Centered Cubic (BC) crystal structune. The edge length is a = 0.533 nm. What is the linear density in atoms/nm along direction (01112 Select one: O ENG O O 0 00
- Given that the salt, Potassium Bromide (KBr), forms the pictured rock salt structure and in that structure the K* and Br ions touch along the family of directions, calculate the atomic packing factor (APF) and theoretical density (p) in [g/cm'). Then answer the concept question. lonic radius: K* = 0.138 nm; Br = 0.196 nm Atomic Weight: K = 39.1 g/mol; Br = 79.9 g/mol APF = 9 /cm² Identify the type of ceramic defect that occurs where a pair of K* and Br ions goes missing from the lattice. Circle the correct option: a) Frenkel defect b) Schottky defect Note: Spaces between atomsHelp me pleaseVanadium (V) has a BCC crystal structure. The atomic radius is R = 0.132 nm and the atomic mass is M = 50.94 g/mole. What is the density of Vanadium in g/mm3? Given: Avogadro’s Number NA = 0.6023 × 1024 (atoms/mole) Select one: a. 1.5 b. 0.021 c. 0.011 d. 0.0087 e. 0.00597
- 3 Copper Unit Cell Uniqueness Here's a weird way to describe the structure of copper: Cu falls into the tetragonal crystal system with a = 0.256 nm, c = 0.362 nm = a√√2, and atoms located at 000 and. Its density is 8.94 g/cc at room temperature. (a) Draw a few adjacent units cells of the structure as described in this "weird" way. You should be able to see that there is a much more convenient way to describe the structure. What is it? (The point I wish to make is that there are many different unit cells that can be used to describe any given crystal, so we usually choose the one that is easiest to visualize.) (b) Calculate the radius of a copper atom using the above information. (c) Calculate the lattice parameter of the "better" unit cell of Cu.Potassium (K) has the Body-Centered Cubic (BCC) crystal structure. The edge length is a = 0.533 nm. What is the linear density in atoms/nm along direction [011P Select one: a. 4.50 b. 6.37 O C. 3.18 d. 7.48 O e. 1.33 Europium has the Body-Centered Cubic (BCC) crystal structure shown in the figure below. The radius of the Europium atom is r= 0.204 nm. What is the planar density in atoms/nm in plane (20)? Plane (200)A number of elements along with their crystal structures and atomic radii are listed in the following table. Which pairs might be expected to have complete solid solubility in each other? Crystal Atomic Crystal Structure Atomic Structure radius (nm) radius (nm) Silver Palladium FCC 0.144 Lead FCC 0.175 FCC 0.137 0.137 Tungsten Rhodium ВСС Copper Gold FCC 0.128 FCC 0.134 Platinum Tantalum FCC 0.144 FCC 0.138 Nickel FCC 0.125 ВСС 0.143 Aluminum Sodium FCC 0.143 Potassium ВСС 0.231 ВСС 0.185 Molybdenum ВСС 0.136