PHYSICAL CHEMISTRY-STUDENT SOLN.MAN.
2nd Edition
ISBN: 9781285074788
Author: Ball
Publisher: CENGAGE L
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Chapter 21, Problem 21.18E
Interpretation Introduction
Interpretation:
The reason as to why the hexagonal unit cell is called hexagonal even though it is not a six-sided figure is to be stated.
Concept introduction:
A unit cell of the crystal is the three-dimensional arrangement of the atoms present in the crystal. The unit cell is the smallest and simplest unit of the crystal which on repetition forms an entire crystal. Unit cell can be a cubic unit cell or hexagonal unit cell. The classification of a unit cell depends on the lattice site occupied by the atoms.
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Make a table for comparison between the interior angles of the seven (7) unit cells and explain.There are seven types of unit cells: (1) simple cubic, (2) tetragonal, (3) orthorhombic, (4) rhombohedral, (5) monoclinic, (6) triclinic, and (7) hexagonal.
Many elements crystalize with a unit cell that is hexagonally shaped (6 sided). The calculations of the unit cell dimension are not significantly more complicated than those for cubic unit cells. A hexagonal unit cell is shown below.The cell dimension "a" is twice the radius (r) of the atom. 2r=a. For most elements the dimension "c" is approximately 1.633×"a".The element technetium (Tc) crystallizes with a Simple Hexagonal unit cell. The density of a technetium is 11.5 g/cm3. Use this information to calculate the metallic radius of technetium in picometers (pm). 1 pm = 1×10−12 meters. You may assume that the dimension c=1.633·a
Many elements crystalize with a unit cell that is hexagonally shaped (6 sided). The calculations of the unit cell dimension are not significantly more complicated than those for cubic unit cells. A hexagonal unit cell is shown below.
The cell dimension "a" is twice the radius (r) of the atom. 2r=a. For most elements the dimension "c" is approximately 1.633×"a".The element technetium (Tc) crystallizes with a Simple Hexagonal unit cell. The density of a technetium is 11.5 g/cm3. Use this information to calculate the metallic radius of technetium in picometers (pm). 1 pm = 1×10−12 meters. You may assume that the dimension c=1.633·a[Note: The theoretical value for the radius may be different from the experimentally determined value. Simply Googling the radius may not yield the correct result]
Chapter 21 Solutions
PHYSICAL CHEMISTRY-STUDENT SOLN.MAN.
Ch. 21 - Prob. 21.1ECh. 21 - Boron nitride, BN, is a very hard material, harder...Ch. 21 - Prob. 21.3ECh. 21 - Prob. 21.4ECh. 21 - Figure 21.35 shows a unit cell of diamond....Ch. 21 - Prob. 21.6ECh. 21 - How many different unit cells can a crystal have...Ch. 21 - Prob. 21.8ECh. 21 - Prob. 21.9ECh. 21 - Prob. 21.10E
Ch. 21 - Prob. 21.11ECh. 21 - Prob. 21.12ECh. 21 - Prob. 21.13ECh. 21 - Prob. 21.14ECh. 21 - Prob. 21.15ECh. 21 - Prob. 21.16ECh. 21 - Prob. 21.17ECh. 21 - Prob. 21.18ECh. 21 - Prob. 21.19ECh. 21 - Prob. 21.20ECh. 21 - Prob. 21.21ECh. 21 - Prob. 21.22ECh. 21 - Prob. 21.23ECh. 21 - Prob. 21.24ECh. 21 - Prob. 21.25ECh. 21 - Prob. 21.26ECh. 21 - Prob. 21.27ECh. 21 - Prob. 21.28ECh. 21 - For a simple cubic lattice, what is the ratio of...Ch. 21 - Prob. 21.30ECh. 21 - Prob. 21.31ECh. 21 - Consider Figure 21.21. If the lower rightmost...Ch. 21 - Prob. 21.33ECh. 21 - The aluminum-nickel alloy AlNi has a simple cubic...Ch. 21 - Prob. 21.35ECh. 21 - The first two signals from a powdered sample has X...Ch. 21 - Prob. 21.37ECh. 21 - Prob. 21.38ECh. 21 - Prob. 21.39ECh. 21 - Prob. 21.40ECh. 21 - Prob. 21.41ECh. 21 - Prob. 21.42ECh. 21 - Prob. 21.43ECh. 21 - Prob. 21.44ECh. 21 - Prob. 21.45ECh. 21 - What is the coordination number in the cesium...Ch. 21 - Prob. 21.47ECh. 21 - Which solid phase that is, which allotrope of...Ch. 21 - Prob. 21.49ECh. 21 - Prob. 21.50ECh. 21 - Write Born-Haber cycles showing the relationship...Ch. 21 - Prob. 21.52ECh. 21 - Prob. 21.53ECh. 21 - Prob. 21.54ECh. 21 - The lattice energy for potassium iodide, KI, is...Ch. 21 - Prob. 21.56ECh. 21 - Prob. 21.57ECh. 21 - Prob. 21.58ECh. 21 - Prob. 21.59ECh. 21 - Prob. 21.60ECh. 21 - Prob. 21.61ECh. 21 - Prob. 21.62ECh. 21 - Prob. 21.63ECh. 21 - Prob. 21.64E
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- 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.)arrow_forward8.98 If you know the density of material and the length of the edge of its cubic Iattice, how would you determine if it is face-centered cubic, body-centered cubic, or simple cubic Would you have to look up any information?arrow_forward1) Calculate the percentage of empty space in a simple, body-centered, and face-centered cubic unit cell using geometry and algebra without substituting any values for atomic radius (r) or cell length (a). The volume of a sphere is 4πr3 3 Hint: Express "a" as a function of "r." The variable "r" will cancel out when you calculate the volume of "atoms" in the cell to give a number which is the fraction of occupied space. The rest of the space is empty.arrow_forward
- Many elements crystalize with a unit cell that is hexagonally shaped (6 sided). The calculations of the unit cell dimension are not significantly more complicated than those for cubic unit cells. A hexagonal unit cell is shown below. The cell dimension "a" is twice the radius (r) of the atom. 2r=a. For most elements the dimension "c" is approximately 1.633×"a".The element zirconium (Zr) crystallizes with a Simple Hexagonal unit cell. The density of a zirconium is 6.5 g/cm3. Use this information to calculate the metallic radius of zirconium in picometers (pm). 1 pm = 1×10−12 meters. You may assume that the dimension c=1.633·aarrow_forwardConsider the ionic solid represented by the unit cell structure shown below. If this figure is representing the compound MnS2, which ion must the blue sphere be representing?arrow_forwardAn element has an atomic radius of 0.145 nm. The volume of its cubic unit cell is 0.0375 nm3. What is the geometry of its unit cell?As your final answer, enter the number 1 if simple cubic, 2 if body-centered cubic, 3 if face-centered cubic.arrow_forward
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