Explanation Given: A tetrahedral site in a closest-packed lattice is formed by placing the four spheres at alternate corners of a cube. The spheres have a radius r and the diagonal of the face of the cube is 2r . Explanation: (1) In terms of the edge length ( a ), we have the face diagonal equal to 2 a . Calculate the edge length of the cube as follows: 2 a = 2 r a = 2 r (2) Calculate the body diagonal as follows: Body diagonal = (Face diagonal) 2 + ( Edge ) 2 = ( 2 r ) 2 + ( 2 r ) 2 = 6 r (3) In the cube, two spheres lie along the body diagonal surrounding the tetrahedral hole

Chemistry: A Molecular Approach & Student Solutions Manual for Chemistry: A Molecular Approach, Books a la Carte Edition Package

1st Edition

ISBN: 9780321955517

Author: Nivaldo J. Tro

Publisher: PEARSON

See similar textbooks

Concept explainers

Crystal Lattices and Unit Cell

Consider a crystal. The regular and repeating pattern of constituent particles is the most distinguishing feature of crystalline solids. A crystal lattice is formed when these particles are replaced with representative points. The three-dimensional arran…

Videos

Question

Chapter 11, Problem 145E

Interpretation Introduction

To calculate: The length of the body diagonal of the cube and the radius of the tetrahedral hole.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 11, Problem 144E

Chapter 11, Problem 146E

Students have asked these similar questions

Don't used Ai solution

Indicate the correct option.a) Graphite conducts electricity, being an isotropic materialb) Graphite is not a conductor of electricityc) Both are false

(f) SO: Best Lewis Structure 3 e group geometry:_ shape/molecular geometry:, (g) CF2CF2 Best Lewis Structure polarity: e group arrangement:_ shape/molecular geometry: (h) (NH4)2SO4 Best Lewis Structure polarity: e group arrangement: shape/molecular geometry: polarity: Sketch (with angles): Sketch (with angles): Sketch (with angles):

Chapter 11 Solutions

Chemistry: A Molecular Approach & Student Solutions Manual for Chemistry: A Molecular Approach, Books a la Carte Edition Package

Ch. 11 - Prob. 1SAQ Ch. 11 - Q2. Liquid nitrogen boils at 77 K. The image shown...Ch. 11 - Q3. Based on the expected intermolecular forces,...Ch. 11 - Q4. Which substance experiences dipole–dipole...Ch. 11 - Q5. One of these substances is a liquid at room...Ch. 11 - Prob. 6SAQ Ch. 11 - Q7. Determine the amount of heat (in kJ) required...Ch. 11 - Prob. 8SAQ Ch. 11 - Prob. 9SAQ Ch. 11 - Prob. 10SAQ

Ch. 11 - Q11. How many atoms are in the body-centered cubic...Ch. 11 - Q12. Rhodium crystallizes in a face-centered cubic...Ch. 11 - Prob. 13SAQ Ch. 11 - Prob. 14SAQ Ch. 11 - Prob. 15SAQ Ch. 11 - Prob. 1E Ch. 11 - 2. Why are intermolecular forces important? Ch. 11 - 3. What are the main properties of liquids (in...Ch. 11 - 4. What are the main properties of solids (in...Ch. 11 - Prob. 5E Ch. 11 - Prob. 6E Ch. 11 - Prob. 7E Ch. 11 - Prob. 8E Ch. 11 - Prob. 9E Ch. 11 - Prob. 10E Ch. 11 - Prob. 11E Ch. 11 - Prob. 12E Ch. 11 - 13. What is hydrogen bonding? How can you predict...Ch. 11 - Prob. 14E Ch. 11 - Prob. 15E Ch. 11 - Prob. 16E Ch. 11 - Prob. 17E Ch. 11 - Prob. 18E Ch. 11 - 19. Why is vaporization endothermic? Why is...Ch. 11 - 20. How is the volatility of a substance related...Ch. 11 - 21. What is the heat of vaporization for a liquid...Ch. 11 - 22. Explain the process of dynamic equilibrium....Ch. 11 - Prob. 23E Ch. 11 - Prob. 24E Ch. 11 - Prob. 25E Ch. 11 - 26. What is the Clausius–Clapeyron equation and...Ch. 11 - Prob. 27E Ch. 11 - Prob. 28E Ch. 11 - Prob. 29E Ch. 11 - Prob. 30E Ch. 11 - 31. Examine the heating curve for water in Section...Ch. 11 - Prob. 32E Ch. 11 - Prob. 33E Ch. 11 - What is the significance of crossing a line in a...Ch. 11 - Prob. 35E Ch. 11 - Prob. 36E Ch. 11 - 37. What is a crystalline lattice? How is the...Ch. 11 - Make a drawing of each unit cell: simple cubic,...Ch. 11 - Prob. 39E Ch. 11 - 40. What is the difference between hexagonal...Ch. 11 - Prob. 41E Ch. 11 - Prob. 42E Ch. 11 - Prob. 43E Ch. 11 - Prob. 44E Ch. 11 - What are the three basic types of atomic solids?...Ch. 11 - Prob. 46E Ch. 11 - Prob. 47E Ch. 11 - Prob. 48E Ch. 11 - Prob. 49E Ch. 11 - Prob. 50E Ch. 11 - Prob. 51E Ch. 11 - Prob. 52E Ch. 11 - 39. Arrange these compounds in order of increasing...Ch. 11 - Prob. 54E Ch. 11 - Prob. 55E Ch. 11 - Prob. 56E Ch. 11 - Prob. 57E Ch. 11 - Prob. 58E Ch. 11 - Prob. 59E Ch. 11 - Prob. 60E Ch. 11 - Prob. 61E Ch. 11 - Prob. 62E Ch. 11 - Prob. 63E Ch. 11 - 50. Explain why the viscosity of multigrade motor...Ch. 11 - 51. Water in a glass tube that contains grease or...Ch. 11 - Prob. 66E Ch. 11 - Prob. 67E Ch. 11 - Prob. 68E Ch. 11 - Prob. 69E Ch. 11 - Prob. 70E Ch. 11 - 57. The human body obtains 915 kJ of energy from a...Ch. 11 - Prob. 72E Ch. 11 - Prob. 73E Ch. 11 - Prob. 74E Ch. 11 - Prob. 75E Ch. 11 - Prob. 76E Ch. 11 - Prob. 77E Ch. 11 - Prob. 78E Ch. 11 - Prob. 79E Ch. 11 - Prob. 80E Ch. 11 - Prob. 81E Ch. 11 - Prob. 82E Ch. 11 - Prob. 83E Ch. 11 - 72. How much heat (in kJ) is evolved in converting...Ch. 11 - Prob. 85E Ch. 11 - 74. Consider the phase diagram for iodine shown...Ch. 11 - Prob. 87E Ch. 11 - Prob. 88E Ch. 11 - Prob. 89E Ch. 11 - Prob. 90E Ch. 11 - Prob. 91E Ch. 11 - Prob. 92E Ch. 11 - Prob. 93E Ch. 11 - 82. How is the density of solid water compared to...Ch. 11 - Prob. 95E Ch. 11 - Prob. 96E Ch. 11 - 97. Determine the number of atoms per unit cell...Ch. 11 - 3098. Determine the coordination number for each...Ch. 11 - Prob. 99E Ch. 11 - Prob. 100E Ch. 11 - Prob. 101E Ch. 11 - Prob. 102E Ch. 11 - Prob. 103E Ch. 11 - Prob. 104E Ch. 11 - Prob. 105E Ch. 11 - 106. Identify each solid as molecular, ionic, or...Ch. 11 - 10741. Which solid has the highest melting point?...Ch. 11 - Prob. 108E Ch. 11 - Prob. 109E Ch. 11 - Prob. 110E Ch. 11 - Prob. 111E Ch. 11 - Prob. 112E Ch. 11 - Prob. 113E Ch. 11 - Prob. 114E Ch. 11 - Prob. 115E Ch. 11 - 62116. How many molecular orbitals are present in...Ch. 11 - Prob. 117E Ch. 11 - Prob. 118E Ch. 11 - 83119. Explain the observed trend in the melting...Ch. 11 - Prob. 120E Ch. 11 - Prob. 121E Ch. 11 - Prob. 122E Ch. 11 - Prob. 123E Ch. 11 - Prob. 124E Ch. 11 - Prob. 125E Ch. 11 - 90. A sample of steam with a mass of 0.552 g and...Ch. 11 - Prob. 127E Ch. 11 - Prob. 128E Ch. 11 - Prob. 129E Ch. 11 - 94. A sealed flask contains 0.55 g of water at 28...Ch. 11 - Prob. 131E Ch. 11 - Prob. 132E Ch. 11 - Prob. 133E Ch. 11 - Prob. 134E Ch. 11 - 135. The unit cell in a crystal of diamond belongs...Ch. 11 - Prob. 136E Ch. 11 - Prob. 137E Ch. 11 - 96. Consider a planet where the pressure of the...Ch. 11 - 139. An unknown metal is found to have a density...Ch. 11 - 140. When spheres of radius r are packed in a...Ch. 11 - Prob. 141E Ch. 11 - Prob. 143E Ch. 11 - Prob. 144E Ch. 11 - Prob. 145E Ch. 11 - 98. Given that the heat of fusion of water is...Ch. 11 - 99. The heat of combustion of CH4 is 890.4 kJ/mol,...Ch. 11 - Prob. 148E Ch. 11 - Prob. 149E Ch. 11 - 102. Butane (C4H10) has a heat of vaporization of...Ch. 11 - Prob. 159E Ch. 11 - 104. One prediction of global warming is the...Ch. 11 - Prob. 151E Ch. 11 - Prob. 152E Ch. 11 - Prob. 153E Ch. 11 - Prob. 154E Ch. 11 - Prob. 155E Ch. 11 - Prob. 156E Ch. 11 - Prob. 157E Ch. 11 - Prob. 158E

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, chemistry and related others by exploring similar questions and additional content below.