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10. The metal iridium has an FCC crystal structure. If the angle of diffraction for the...
mot MSE 260 Materials Science and Engineering - Homework 4 1. (3.70) The metal niobium (Nb) has a BCC crystal structure. If the angle of diffraction for the (211) set of planes occurs at 75.99° (first-order reflection) when monochromatic X-radiation having a wavelength of 0.1659 nm is used, compute the following: (a) the interplanar spacing for this set of planes and (b) the atomic radius for the Nb atom. 2. (3.71) For which set of crystallographic planes will a first-order...
1. When monochromatic radiation of wavelength 0.0711 nm is incident on a metal with BCC crystal structure, the first order angle of diffraction takes place at 27° for the (330) set of planes. (a) Determine the interplanar spacing (in nanometers) for this set of planes b) Calculate the atomic radius (in nanometers) for this atom.
3.8 Calculate the radius of an iridium atom, given that Ir has an FCC crystal structure, a density of 22.4 g/cm3 , and an atomic weight of 192.2 g/mol.
(i) Given: a cubic crystal. Derive a general relationship between interplanar spacing dhkland lattice constant a, for a plane whose Miller indices are (hkl). (ii) For a BCC iron crystal, the lattice constant a is 0.2866 nm. What is the interplanar spacing for the (220) planes in the crystal. Assume x-rays of wavelength of 0.1790 nm are used for diffraction experiments. (iii) What is the value of the diffraction angle 2 theta from the (220) planes at which diffraction spots...
X-ray diffraction was carried out on a sample of platinum (Pt, a silverish-white metal with an atomic radius of 0.139 nm) with an FCC structure, revealing an interplanar spacing of 0.131 nm. Provide two examples of Miller Indicies that could result in this spacing.
Q1- MgO crystal has FCC structure with lattice dimension of 0.42 nm and the ionic radii of 0.065 nm for Mg and 0.146 nm for 0. Calculate the packing efficiency. Q2- Find the intersects with x,y,z if the Millar indices are (1 1 1) for the cubic cell. Then sketch the plan Q3- What is the lattice dimension for Barquim (Bq) which has simple cubic structure if the molar volume 22.22 cm3 Q4- The spacing of one set of crystal...
11. Below figure element metal. Monochromatic x-radiation had a wavelength o have which type of the following crystal structure? shee t irst four peaks (43.8, 508, 74A, 904) of the x-ray diffraction pattern for an hetal. Monochromatic x-radiation had a wavelength of 0.1542 nm. This material is ikely to 40.0 50.0 60.0 80.0 90.0 Dittraction angje 2 (a) Simple cubic (b) Body centered cubic (c) Face centered cubic (d) None of them above 12. For the above figure, which peak...
7. First-order diffraction peak of (310) planes occurs at a diffraction angle of 46.21° for BCC iron when monochromatic radiation having a wavelength Calculate the density of the material (Atomic mass of iron is 55.85 g/mol).
An x-ray beam of wavelength λ1 is incident on a crystal at an angle α1 = 40.0° with respect to the surface and undergoes first-order reflection from a set of Bragg planes. A second x-ray beam of wavelength λ2 = 80.0 pm is incident on the crystal at an angle α2 = 60.0° with respect to the surface, and undergoes second-order reflection from the same set of Bragg planes. The set of Bragg planes of interest make an angle of...
Given that iridium has a FCC crystal structure, a density of 22.4 g per cubic centimeter, and an atomic weight of 192.2 g/mol, what is the volume of its unit cell in cubic centimeters? For above problem calculate lattice parameter (a) for iridium in cm