2. In an FCC structure, the centers of the atoms are found on the corners of the cubic unit cell and at thecenter of each face. The unit cell has an edge whose length is the distance from the center of one corneratom to the center of another corner atom on the same edge. The atoms on the diagonal of any face aretouching. One of the faces of the unit cell is shown here:882/6/24, 2:38 PMa. Show the distance do on the sketch. Draw in the boundaries of the unit cell.b. What is the relationship between the length of the face diagonal and the radius of the atoms, r?c. How is the radius of the atoms related to do?https://ng.cengage.com/static/nb/ui/evo/index.html?elSBN=9780357857519&id=1775621999&nbld=3442981&snapshotld-3442981&dockAppUid=101&Face diagonalPrint Previewd. Platinum metal crystals have an FCC structure. The unit cell edge in platinum is 0.3932 nm long.What is the radius of a platinum atom, p?x do2/3

a)Unit cell length,do The distance between the centres of two corner atoms on the same edge,…

2. In an FCC structure, the centers of the atoms are found on the corners of the cubic unit cell and at the center of each face. The unit cell has an edge whose length is the distance from the center of one corner atom to the center of another corner atom on the same edge. The atoms on the diagonal of any face are touching. One of the faces of the unit cell is shown here: a. Show the distance do on the sketch. Draw in the boundaries of the unit cell. M b. What is the relationship between the length of the face diagonal and the radius of the atoms, r? c. How is the radius of the atoms related to do? gage.com/static/nb/ui/evo/index.html?elSBN=9780357857519&id=1775621999&nbld=3442981&snapshotld-3442981&dockAppUid=101& Face diagonal Print Preview x do d. Platinum metal crystals have an FCC structure. The unit cell edge in platinum is 0.3932 nm long. What is the radius of a platinum atom, r? 2/3

2. In an FCC structure, the centers of the atoms are found on the corners of the cubic unit cell and at the center of each face. The unit cell has an edge whose length is the distance from the center of one corner atom to the center of another corner atom on the same edge. The atoms on the diagonal of any face are touching. One of the faces of the unit cell is shown here: a. Show the distance do on the sketch. Draw in the boundaries of the unit cell. M b. What is the relationship between the length of the face diagonal and the radius of the atoms, r? c. How is the radius of the atoms related to do? gage.com/static/nb/ui/evo/index.html?elSBN=9780357857519&id=1775621999&nbld=3442981&snapshotld-3442981&dockAppUid=101& Face diagonal Print Preview x do d. Platinum metal crystals have an FCC structure. The unit cell edge in platinum is 0.3932 nm long. What is the radius of a platinum atom, r? 2/3

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 2ASA: In an FCC structure, the atoms are found on the corners of the cubic unit cell and at the center of...

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Consider the three types of cubic units cells. (a) Assuming that the spherical atoms or ions in a primitive cubic unit cell just touch along the cubes edges, calculate the percentage of occupied space within the unit cell. (Recall that the volume of a sphere is (4/3)r3, where r is the radius of the sphere.) (b) Compare the percentage of occupied space in the primitive cell (pc) with the bcc and fcc unit cells. Based on this, will a metal in these three forms have the same or different densities? If different, in which is it most dense? In which is it least dense?
Assume X has a body-centered cubic lattice with all atoms at the lattice points. The edge length of the unit cell is 379.0 pm. The atomic mass of X is 195.0 amu. Calculate the density of X.
CaTiO3, a perovskite, has the structure below. (a) If the density of the solid is 4.10 g/cm3, what is the length of a side of the unit cell? (b) Calculate the radius of the Ti4+ ion in the center of the unit cell. How well does your calculation agree with a literature value of 75 pm? Unit cell of the perovskite CaTiO3 A sample of perovskite, iO3 FIGURE 7.11 Relative sizes of some common ions. Rodii are given in picometers (1 pm 1 1012 m). (Data taken from J. Emsley, The Elements, Clarendon Press, Oxford, 1998, 3rd edition.)
MnO has either the NaCI type structure or the CsCI type structure (see Exercise 69). The edge length of the MnO unit cell is 4.47 10-8 cm and the density of MnO is 5.28 g/cm3. a. Does MnO crystallize in the NaCl or the CsCl type structure? b. Assuming that the ionic radius of oxygen is 140. pm, estimate the ionic radius of manganese.
In an FCC structure, the atoms are found on the corners of the cubic unit cell and at the center of each face. The unit cell has an edge whose length is the distance from the center of one corner atom to the center of another corner atom on the same edge. The atoms on the diagonal of any face are touching. One of the faces of the unit cell is shown below in the following: a. Show the distance dO on the sketch. Draw the boundaries of the unit cell. b. What is the relationship between the length of the face diagonal and the radius of the atoms in the cell? Face diagonal = ______________ c. How is the radius of the atoms related to dO? r= ______________ d. Silver metal crystals have an FCC structure. The unit cell edge in silver is 0.4086nm long. What is the radius of a silver atom? ______________nm
The edge length of the unit cell of tantalum metal, Ta, is 330.6 pm; the unit cell is body-centered cubic (one atom at each lattice point). Tantalum has a density of 16.69 g/cm3. What is the mass of a tantalum atom? Use Avogadros number to calculate the atomic mass of tantalum.
The CsCl structure is a simple cubic array of chloride ions with a cesium ion at the center of each cubic array (see Exercise 69). Given that the density of cesium chloride is 3.97 g/cm3, and assuming that the chloride and cesium ions touch along the body diagonal of the cubic unit cell, calculate the distance between the centers of adjacent Cs+ and Cl ions in the solid. Compare this value with the expected distance based on the sizes of the ions. The ionic radius of Cs+ is 169 pm, and the ionic radius of Cl is 181 pm.
Aluminum metal crystallizes with a face-centered cubic unit cell. The volume of the cell is 0.0662 nm3. (a) What is the atomic radius of aluminum in cm? (b) What is the volume of a single aluminum atom? (c) What is the density of a single aluminum atom? (d) In face-centered cubic cell packing, the fraction of empty space is 26.0%. When this is factored in, what is the calculated density of aluminum?
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