A. Determine the Fhkl Factor of the ionic crystal NaCl, assuming the scattering factors for Na and Cl atoms are fNa and fcl B. calculate Fhkl for field (111), (200)
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- The first two signals from a powdered sample has X rays (=1.47742A) diffracted at angles of 13.48 and 15.62. What type of cubic crystal is it, and what is the unit-cell parameter?A crystal has a cubic unit cell of 4.2 Å. Using a wavelength of 1.54 Å at which 2θ value would you expect tomeasure the (111) peak?Aluminium (Al) has a face-centered cubic structure, with lattice parameter a = 4.05 × 10−10 m. Ifeach Al atom loses three electrons to make a free electron gas in the metal, what is the electrondensity ne?
- Define defects ( point, line, planar or volume defects) and impurities in crystal structures. Are they favourable?Derive simplified expressions for F2 or diamond, including the rules governing observedreflections. This crystal is cubic and contains 8 carbons atoms per unit cell, located in thefollowing position: 000 1⁄2 1⁄2 1⁄2 1⁄2 0 1⁄2 0 1⁄2 1⁄21⁄4 1⁄4 1⁄4 3⁄4 3⁄4 1⁄4 3⁄4 1⁄4 3⁄4 1⁄2 3⁄4 3⁄4Describe a-dislocations, c-dislocations and c+a dislocations, which may be possible in HCP crystals. Give specific examples from Mg and a-Zr. Include any citation(s) that you use to answer the question
- Lattice parameters of α and β phases were calculated from x-ray diffraction measurements performed in A-B alloys with different compositions, all quenched from 500, 600 and 700 °C. Draw a schematic A-B phase diagram using this informationCalculate the planer density of planes (0:-1:-1) for BCC, and FCC crystal structures?The maximum proportion of the avalable volume that can be field with hard sphere identifes a ) Packing Fraction b) the unit cell c) the lattice point d) the number of nearest neightos
- Which point defect is observed in a crystal when a vacancy is created byan atom missing from a lattice site.Derive simplified expressions for F2 for diamond, including the rules governing observed reflections. This crystal is cubie and contains 8 carbon atoms per unit cell, located in the following positions: 0 0 0 ½ ½ 0 ½ 0 ½ 0 ½ ½ ¼ ¼ ¼ ¾ ¾ ¼ ¾ ¼ ¾ ¼ ¾ ¾(i) Write the type of magnetism observed when the magnetic moments are aligned in parallel and anti-parallel directions in unequal numbers.(ii) Which stoichiometric defect decreases the density of the crystal?