NaCl : X-ray diffraction of simple lattice ionic compounds NaCl had face - centered cubic lattice structure a = b = c, alpha = beta = gamma = 90° Miller indices of peaks: (111,200,200) Analyze the peaks to find out the size of the unit cell and assign miller indices of the peaks using the data show all calculations step by step and clearly and please explain thoroughly, thank you!!!!!! This is all the information given to me
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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?Find the planer density (Po) in (atom/mm) of (100) in a face centered cubic unit cell with lattice constant of 3.5 A, and determined the atomic radiusFluorite (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?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) resistivitya) With the molar masses of 22.99 and 35.45 g/mol respectively for sodium and chloride and the density 2.17 g/cm³, what would be the lattice parameter for the cubic unit cell? b) With incident neutron beam of 13.7 meV, what would be the scattering angle 20 for the (200) and (400) Bragg peak? c) After you have measured at the (200) Bragg peak, moving to the (400) Bragg peak, how much an angle you need to rotate the A20? How much an angle you need to rotate the Δω? d) After you have measured at the (200) Bragg peak, instead of moving to (400) now you want to measure (111) Bragg peak, what are the A20 and Ao? Assume that the (110) Bragg peak has been aligned in the horizontal scattering plane by the four-circle goniometer.
- HW(2 questions) Determine the distance between nearest (110) planes in a simple cubic lattice with a lattice constant of an = 4.83 Å. (y 7s The lattice constant of a face-centered-cubicstructure is 4.75 Å. Calculate the surface density of atoms for (a)a (100) plane and (b) a (110) plane. (Ans. (a) 8.86 x 10+ cm-, (b) 6.27 x 10" cm-2]A quantitative theory of bonding in ionic crystals was developed by Born and Meyer along the following lines: the total force of the system is taken to be: ae² F(r) = N-NA where N is number of positive - negative ion pairs, A and n are constant determined from experiment and at the Madelung constant which depends on the crystal structure of the solid. 1) Derive an expression of the total potential energy and identify the repulsion and the attraction terms. 2) Derive an expression of the equilibrium interatomic distance, re 3) Derive an expression of the bonding energy. 4) if the charge of the ions is double, by what factor both the equilibrium interatomic spacing ro and the bonding energy U(ro) change. Indicate which parameter increase or decrease. Comment on the magnitude of the change of both parameters.Derive the structure factor for a body -centered cubic unit cell of identical atoms. The relative coordinates of the lattice points are given by (0,0,0), (1,0,0), (0,1,0), (0,0,1), (1,1,0), (1,0,1), (0,1,1), (1,1,1) and (1/2,1,2,1/2).
- A hypothetical metal made up of one chemical element has a BCC crystal structure. A diffractometer with monochromatic x-radiation having a wavelength of 0.1542 nm is used to examine the crystal structure of this metal. Given the atomic radius of this metal is 0.1363 nm, determine the expected diffraction angle for the first order reflection from the (110) set of planes.1.At -185°C and 1 atm ethane (MW = 30.07 g/mol) exists as a solid with a FCC structure. Using the data provided below: E/k=194.1K, bo=0.1794 m3/kmol Determine the diameter of one molecule of ethane (in angstroms). 2. What is the void fraction? 3. Find the density of the solid etahne. 4. Calculate the distance of separation (in m) between two ethane molecules when the potential energy is at a minimum. 5. At the separation distance calculated in part (4), determine the minimum value of the potential energy between two molecules (in J).Q.4. A certain compound is observed to give peaks in the XRD pattern at 20 values of 42.2, 49.2, 72.0 and 87.3. Assume a cubic unit cell, identify the type of structure and lattice constant (considered A = 1.5 A°) Need perfect and well explained answer.