3. Find lattice constant and atomic radius of Silver from the X-Ray spectra for Silver nanoparticlesgiven below and compare with appendix (wavelength of incident X-Ray is 0.154 nm )40(111)35302520(200)15(311)(220)10|(222)51030 2 Theta507090Fig. 3. X-ray diffraction patterns of silver nanoparticles embedded ultra-thin filmsolar cell.

The important points given in the question are: All the peaks corresponding to Miller planes…

Answered: 3. Find lattice constant and atomic…

Chemistry: The Molecular Science

5th Edition

ISBN:9781285199047

Author:John W. Moore, Conrad L. Stanitski

Publisher:John W. Moore, Conrad L. Stanitski

Chapter9: Liquids, Solids, And Materials

Section: Chapter Questions

Problem 74QRT

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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?
2. A spherical metallic nanoparticle of diameter di = 100 nm melts at Tmi = 900 K. A smaller spherical nanoparticle of the same metal, of diameter dz = 50 nm, melts at Tm2 = 800 K. a) Explain why the smaller nanoparticle melts at a lower temperature. b) Calculate the melting point of the metal in bulk form.
Si crystalizes into a diamond crystal structure with lattice constant a = 0.543\: nma=0.543nm. Calculate the atomic density in units of cm^{-3}cm−3. Values within 5% error will be considered correct.
A first order reflection from the (123) planes of a cubic crystal was observed at an angle of e = 24.8 ° when X-rays of wavelength 154 pm were used. 1 h k? 1? d u? b? na = 2d sin e -= - hki (i) Determine the length of the side of the unit cell.
a) Draw rock salt unit cell of NaCl and give the coordinates (u,v,w) describing the positions of all the atoms in such a unit cell. b) Calculate the structure factor |F_hkl|^ 2 for such a unit cell for x-ray scattering from a given set of crystallographic planes (hkl). c) Which reflection peaks have the lowest and highest intensities and why
3. Explain how trace levels of CaCl, impurity in an NaCl crystal would affect the se.f-diffusion coefficient of Na" ions in the crystal.
Determine the repeat distance, linear density, and packing fraction for BCC lithium, which has a lattice parameter of 0.35089 nm, in the [100] , [110] [111] , and directions. Which of these directions is close packed?
Consider spherical nanoparticles of copper with diameter of 10nm and 100nm A) Calculate the total number of atoms in the particles,considering the lattice parameter of bulk Cu.
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 information
A device to understand how iron behaves at high temperatureswe want to design. This device (with 1% accuracy) allows the change in volume (heating) of a 1cm 3 iron cube.the resulting polymorphic transformation) must be able to feel. HMK structure in iron 911 0 C and latticeparameter 0.2863 nm. At 913 0 C, it has YMK structure and its lattice parameter is 0.3591 nm. Of measuring instrumentDetermine the accuracy tolerance it needs (i.e. at least how many cm 3 to detect a changemust). It is necessary to use at least 6 digits after the comma in this question. Hint: YMK first andFor HMK, the volume of an atom is found and then, using the number of atoms in each structure, the ironThe question can be started by finding the different volumes.
show that the atomic packing factor for BCC is 0.68 and forHCP is 0.74.
At room temperature (i.e., 300 K), a semiconductor made of gallium arsenide (GaAs) has an intrinsic electron concentration (ni) of 1.8×10^6 cm^-3 , an electron mobility (μe) of 8500 cm^2 V^1 s^-1 , and a hole mobility (μh) of 400 cm^2 V^-1 s^-1 . \ (a) Calculate the intrinsic electric conductivity and resistivity of GaAs at 300 K. (b) When GaAs is doped with an ionized donor concentration of 10^15 cm^-3 , where is the Fermi level? Calculate the electric conductivity of the doped GaAs. (c) If the semiconductor sample discussed in (b) is further doped with an ionized acceptor concentration of 9×10^14 cm^-3 , what is the free hole concentration and electric conductivity of the sample?

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