I Draw a diagonal through the central atom of the body-centered cube that starting from one corr the cube on both figures. What is the length of that line in terms of r? Length of the side of unit cell (in terms of r; from last page) = %3D Volume of the unit cell/cube (in terms of r). Plug into V = s3 and simplify to a 3 significant figure nur Show work: % of the total volume of the unit cell that is occupied by spheres (atoms). Show work: Volume of spheres only x 100.%

I Draw a diagonal through the central atom of the body-centered cube that starting from one corr the cube on both figures. What is the length of that line in terms of r? Length of the side of unit cell (in terms of r; from last page) = %3D Volume of the unit cell/cube (in terms of r). Plug into V = s3 and simplify to a 3 significant figure nur Show work: % of the total volume of the unit cell that is occupied by spheres (atoms). Show work: Volume of spheres only x 100.%

Chemical Principles in the Laboratory

11th Edition

ISBN:9781305264434

Author:Emil Slowinski, Wayne C. Wolsey, Robert Rossi

Publisher:Emil Slowinski, Wayne C. Wolsey, Robert Rossi

Chapter16: The Structure Of Crystals-an Experiment Using Models

Section: Chapter Questions

Problem 1ASA

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Nanotechnology, or technology utilizing 1100 nm sized particles, has rapidly expanded in the past few decades, with potential applications ranging across far-reaching fields such as electronics, medicine, biomaterials, and consumer products, to name a few. One of the primary advantages of nanoparticles is the presence of large surface/mass ratios, resulting in enhanced surface activities compared to bulk materials. a Use the density of silver (10.49 g/cm3) to determine the number of Ag atoms in a spherical 20.-nm silver particle. b In the crystalline metallic environment, the measured radii of silver atoms has been measured to be 144 pm. Use this to calculate the atomic packing fraction of a 20.-nm silver particle. In other words, calculate the ratio of the volume taken up by Ag atoms to the volume of the entire nanoparticle. c Based on the result of part (b), silver conforms to which type of cubic crystal lattice? A simple cubic B body-centered cubic C face-centered cubic d A cubic Ag ingot having a mass of 5.0-g is processed to form a batch of 20.-nm Ag nanoparticles. Calculate the ratio of the surface area provided by the batch of nanoparticles to the surface area of the initial cube of Ag.
How many (a) nearest neighbours, (b) next-nearest neighbours are there in a body-centred cubic structure? What are their distances if the side of the cube is 600 nm?
Please answer correct with clarification What are the most important constraints in selecting a unit cell?
The orthorhombic unit cell of NiSO4 has the dimensions a= 634 pm, b = 784 pm, and c = 516 pm, and the density of the solid is estimated as 3.9 g cm-3. Determine the number of formula units per unit cell and calculate a moreprecise value of the density.
Is it possible for a salt of formula AB3 to have a facecentered cubic unit cell of anions with cations in all eight of the available holes? Explain.
(ii) Prove that the volume of an FCC unit cell, VC is; ?? = 16?3√2
What amount of energy is required to change a spherical drop of water with a diameter of 2.00 mm to two smaller spherical drops of equal size? The surface tension, γ , of water at room temperature is 72.0 mJ/m2
Based on the volumes calculated in the previous question and the picture below, calculate the edge length, a, of the body-centered cubic cell, in pm, for each met Volumes: Cr - 2.28 x 10^-29m^3 Mo - 3.17 x 10^-29m^3 W - 3.15 x 10^-29m^3
Draw an orthorhombic unit cell and mark on it the (100), (010), (001), (011), (101), and (110) planes.
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?
Q1. Can a cubic crystal be piezoelectric? Use BaTiO3 as an example to explain your answer. Q2. What are the surface energies of Cu and CuO in eV? Q3. What is polymorphism? What are the polymorphs of TiO2? Give crystal data for different polymorphs of TiO2? Which program did you use to find this data?? Q4. What are the different temperature polymorphs of SiO2? What is a polytype?
Construct a (011) within a unit cell.

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