Problem #2: (4) The densities of the elements K, Ca, Sc, and Ti are 0.86, 1.5, 3.2, and 4.5 g/cm³, respectively. One of these elements crystallizes in a body-centered cubic structure; the other three crystallize in a face-centered cubic structure. Which one crystallizes in the body-centered cubic structure? Justify your answer.
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
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- Figure below shows the first four peaks of the x-ray diffraction pattern for copper, which has a face centered cubic crystal structure; monochromatic x-radiation having a wavelength of 0.1542 nm was used. Reflection indices are presented in the table below. The whole number of wavelengths equals one. (a) Index (i.e., give h, k, and I indices) for each of these peaks. (b) Determine the interplanar spacing for each of the peaks. (c) For each peak, determine the atomic radius for Cu. 40.0 50.0 60.0 70.0 80.0 90.0 Diffraction angle 20 Reflection Indices for First Six Planes Reflections Present (h + k + ) even Crystal Structure 110, 200, 211, 220, 310, 222 ВСС h, k, and I either all odd or all even 111, 200, 220, 311, 222, 400 FCC 100, 110, 111, 200, 210, 211 Simple cubic All Intensity (relative)Which crystalline structure is a common structure of metals? (Choose all that apply) Face centered Body centered Primitive GeneralPlease answer Both multiple choice questions
- 2.) A newly designed superconductor material has 3 different types of atoms in its molecular formula and has a crystal structural similar to diamond cubic with an additional atom at the body-center (like BCC). Atom A orients on the 8 vertices of the cubic lattice and at the body center. Atom B orients at the center of each face. Atom C orients at 4 tetrahedral sites residing entirely within the cubic lattice. Each cubic crystal lattice has precisely the number of atoms that matches the molecular stoichiometry: AxByCz. What is the stoichiometry of this material?Figure below shows the first four peaks of the x-ray diffraction pattern for copper, which has a face centered cubic erystal structure; monochromatic x-radiation having a wavelength of 0.1542 nm was used. Reflection indices are presented in the table below. The whole number of wavelengths cquals one. (a) Index (i.e., give h, k, and / indices) for each of these peaks. (b) Determine the interplanar spacing for cach of the peaks. (e) For cach peak, determine the atomic radius for Cu. 40.0 50.0 60.0 70.0 80.0 90.0 Diffraction angle 20 Reflection Indices for First Six Planes 110, 200, 211, 220, 310, 222 Crystal Structure Reflections Present (h +k +) even ВСС FCC h, k, and I either all odd or all even 111, 200, 220, 311, 222, 400 Simple cubic All 100, 110, 111, 200, 210, 211 Intensity (relative)Figure below shows the first four peaks of the x - ray diffraction pattern for copper, which has a face centered cubic crystal structure: monochromatic X - radiation having a wavelength of 0.1542 nm was used. Reflection indices are presented in the table below. The whole number of wavelengths equals one; (a) Index (t.e., give h, k, and / indices) for each of these peaks. (b) Determine the interplanar spacing for each of the peaks. (c) For each peak, determine the atomic radius for Cu Intensity (relative) 40.0 50.0 80.0 90.0 60.0 70.0 Diffraction angle 20 Crystal Structure BCC Reflections Present (h + k + I) even Reflection Indices for First Sir Planes 110, 2010), 211, 220, 310, 222 111 200, 220, 311, 222, 400 100, 110, 111, 200, 210, 211 FCC h, k, and I either all odd or all even Simple cubic All
- Metallic nickel crystallizes in a face-centered cubic lattice, with one Ni atom per lattice point. If the edge length of the unit cell is found to be 352 pm, what is the metallic radius of Ni in pm? pm Submit Answer Retry Entire Group 1 more group attempt remainingPlease explain briefly.Considering a cubic crystal system, show that the [hkl] direction is perpendicular to the (hkl) plane.
- 2. Determine the coordination number and atomic packing factor for a base- centered orthorhombic crystal structure, pictured below. Reduced Sphere Model: View) Hard Sphere (End View) 88 Hard Sphere (Top/Bottom(b) Using the cubic unit cells below, draw the directions and plane indicated on each figure. [101] [010] (002)Consider a metal with a BCC crystal structure and atomic weight 92.91 g/mole. When monochromatic x-ray radiation having a wavelength of (1.200x10^-1) nm is used, the angle of diffraction (2*theta) for the (211) set of planes in this metal occurs at (3.80x10^1) ° (first-order reflection). Compute the density of this metal in g/cm^3 O
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