Domanda del libro di testo
Consider the unit cells shown here for three different structures that are commonly observed for metallic elements. (a) Which structure(s) corresponds to the densest packing of atoms?
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Ch.12 - Solids and Modern Materials
Brown14th EditionChemistry: The Central ScienceISBN: 9780134414232
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TOC.tableOfContents
- Ch.1 - Introduction: Matter, Energy, and Measurement177
- Ch.2 - Atoms, Molecules, and Ions231
- Ch.3 - Chemical Reactions and Reaction Stoichiometry216
- Ch.4 - Reactions in Aqueous Solution189
- Ch.5 - Thermochemistry175
- Ch.6 - Electronic Structure of Atoms168
- Ch.7 - Periodic Properties of the Elements150
- Ch.8 - Basic Concepts of Chemical Bonding177
- Ch.9 - Molecular Geometry and Bonding Theories200
- Ch.10 - Gases179
- Ch.11 - Liquids and Intermolecular Forces113
- Ch.12 - Solids and Modern Materials154
- Ch.13 - Properties of Solutions157
- Ch.14 - Chemical Kinetics199
- Ch.15 - Chemical Equilibrium128
- Ch.16 - Acid-Base Equilibria164
- Ch.17 - Additional Aspects of Aqueous Equilibria163
- Ch.18 - Chemistry of the Environment105
- Ch.19 - Chemical Thermodynamics164
- Ch.20 - Electrochemistry171
- Ch.21 - Nuclear Chemistry122
- Ch.22 - Chemistry of the Nonmetals82
- Ch.23 - Transition Metals and Coordination Chemistry79
- Ch.24 - The Chemistry of Life: Organic and Biological Chemistry16
Brown14th EditionChemistry: The Central ScienceISBN: 9780134414232Non è quello che usi tu?Cambia libro di testo
Capitolo 12, Problema 33b
Consider the unit cells shown here for three different structures that are commonly observed for metallic elements. (b) Which structure(s) corresponds to the least dense packing of atoms?
Guida verificata passo dopo passo1
Identify the three types of cubic unit cells shown in the image: A (Simple Cubic), B (Body-Centered Cubic), and C (Face-Centered Cubic).
Understand the packing efficiency of each type of cubic unit cell: Simple Cubic (52%), Body-Centered Cubic (68%), and Face-Centered Cubic (74%).
Compare the packing efficiencies to determine which structure has the least dense packing of atoms.
Recognize that the Simple Cubic structure (A) has the lowest packing efficiency at 52%.
Conclude that structure A corresponds to the least dense packing of atoms.
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Unit Cell
A unit cell is the smallest repeating unit of a crystal lattice that reflects the overall symmetry and structure of the entire crystal. It defines the arrangement of atoms in a solid and can vary in shape and size. Understanding unit cells is crucial for analyzing the packing efficiency and density of different crystalline structures.
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Percorso guidato
01:27
Simple Cubic Unit Cell
Atomic Packing Efficiency
Atomic packing efficiency (APE) refers to the fraction of volume in a crystal structure that is occupied by atoms. It is calculated by comparing the volume occupied by the atoms to the total volume of the unit cell. Structures with higher APE have denser packing, while those with lower APE indicate less dense arrangements, which is essential for determining which structure corresponds to the least dense packing.
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Percorso guidato
02:10Atom Structure
Types of Crystal Structures
Different types of crystal structures, such as face-centered cubic (FCC), body-centered cubic (BCC), and simple cubic (SC), exhibit varying atomic arrangements and densities. Each structure has unique characteristics that influence the physical properties of the material. Identifying these structures helps in understanding their packing efficiency and density, which is key to answering the question about the least dense packing.
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Percorso guidato
02:29Acid Structure and Types
Pratica correlata
Domanda del libro di testo
Sodium metal (atomic weight 22.99 g/mol) adopts a body-centered cubic structure with a density of 0.97 g/cm3. (a) Use this information and Avogadro’s number (NA = 6.022 × 1023/mol) to estimate the atomic radius of sodium. (b) If sodium didn't react so vigorously, it could float on water. Use the answer from part (a) to estimate the density of Na if its structure were that of a cubic close-packed metal. Would it still float on water?
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