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- Fluorite (CaF2) has a face centered cubic structure, space group 225, with network parameter equal to 5.45 Å), with four CaF2 units per cell unitary (Ca+ at site 4a(0,0,0) and F- at site 8c(1/4.1/4.1/4 and 3/4.3/4.3/4) + face centered cubic lattice translations for both ions). a) Get a simplified expression for the structure factor F(hkl) of fluorite. (b) What condition must be fulfilled by the Miller indices h,k,l in such a way that F(hkl) ≠ 0?1) For a crystalline substance with a hexagonal unit cell, the distance interplanar d is given by the expression. Consider graphite, for which a = 0.247 nm and c = 0.679 nm. On a standardized diffractogram with Cu Kα radiation ((λ = 1.5418 Å)), where angle 2θ will be observed the Bragg 002 peak of graphite?Verify that the lowest value of the radius ratio for (a) sixfold coordination is 0.414, and (b) for eightfold coordination is 0.732.
- It is considered that a solid substance has an orthorhombic structure. Since the edges of the unit cell are a = 3.50Å, b = 4.0 Å, c = 5.5 Å, calculate the d and 2θ positions for the 111 plane expected in the diffraction pattern as a result of CuKα radiation (λ = 1.54 Å). b)What is the Miller index of the plane intersecting the crystal axes (2a, 1b, -3c)? please answer bCan nitrogen fit into the octahedral interstitial site in BCC iron? Justify your answer by calculation. Atomic radius of nitrogen is 0.071nm and lattice parameter of BCC iron is 0.2866 nmDiscuss glass transition temperature and the factors affecting GTT and what are its significances. Give detailed answer please
- Knowing that the crystal spacing of the monochromator [Topaz crystal (303) ] has an interplanar distance of 0.1356 nm, calculate the limits of the wavelengths within which it is possible to record the spectrum if the angle of incidence is (2q =10º and 2q =160º )What is the first-order scintillation angle of the shimmering x-rays of a crystal surface with a distance between planes of 0.204 nm and a wavelength of 0.154 nm.Linear density is a measure of how much a crystallographic vector is occupied by atoms, and is calculated as as the length of the atoms on the vector over the length of the vector. Calculate the following linear densites for the [100] and [110] vectors for:a. an FCC crystalb. a BCC crystal KINDLY ANSWER PLS NEEDED ASAP
- Using a simple infinite barrier approximation, calculate the “effective bandgap” of a 10 nm GaAs/AlGaAs quantum well grown along [001] direction. If there is a one-monolayer fluctuation in the well size, how much will the effective bandgap change? This example gives an idea of how stringent the control has to be in order to exploit heterostructures.I) Diamond crystallises in a face-centred cubic structure with a = 3.5625 Å. Calculate the d-spacing and peak position of the first allowed peak (i.e. the peak with the lowest hkl value that meets the selection rules) using a wavelength of 0.71073 Å. II) A solvothermal synthesis gave rise to a mixture of two crystalline phases: one phase consists of 50-65 μm octahedral crystallites while the other phase consists of 150-180 μm hexagonal plates. Identify a separation technique that would likely be effective in separating these materials.a) It is considered that a solid substance has an orthorhombic structure. Since the edges of the unit cell are a = 3.50Å, b = 4.0 Å, c = 5.5 Å, calculate the d and 2θ positions for the 111 plane expected in the diffraction pattern as a result of CuKα radiation (λ = 1.54 Å). b) What is the Miller index of the plane intersecting the crystal axes (2a, 1b, -3c)?