Domanda del libro di testo
Sodium oxide (Na2O) adopts a cubic structure with Na atoms represented by green spheres and O atoms by red spheres.
(c) The unit cell edge length is 5.550 Å. Determine the density of Na2O.
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Ch.12 - Solids and Modern Materials
Brown15th EditionChemistry: The Central ScienceISBN: 9780137542970
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TOC.tableOfContents
- Ch.1 - Introduction: Matter, Energy, and Measurement146
- Ch.2 - Atoms, Molecules, and Ions200
- Ch.3 - Chemical Reactions and Reaction Stoichiometry176
- Ch.4 - Reactions in Aqueous Solution155
- Ch.5 - Thermochemistry126
- Ch.6 - Electronic Structure of Atoms131
- Ch.7 - Periodic Properties of the Elements126
- Ch.8 - Basic Concepts of Chemical Bonding123
- Ch.9 - Molecular Geometry and Bonding Theories143
- Ch.10 - Gases147
- Ch.11 - Liquids and Intermolecular Forces91
- Ch.12 - Solids and Modern Materials122
- Ch.13 - Properties of Solutions126
- Ch.14 - Chemical Kinetics174
- Ch.15 - Chemical Equilibrium101
- Ch.16 - Acid-Base Equilibria139
- Ch.17 - Additional Aspects of Aqueous Equilibria146
- Ch.18 - Chemistry of the Environment72
- Ch.19 - Chemical Thermodynamics129
- Ch.20 - Electrochemistry142
- Ch.21 - Nuclear Chemistry101
- Ch.22 - Chemistry of the Nonmetals68
- Ch.23 - Transition Metals and Coordination Chemistry66
- Ch.24 - The Chemistry of Life: Organic and Biological Chemistry10
Brown15th EditionChemistry: The Central ScienceISBN: 9780137542970Non è quello che usi tu?Cambia libro di testo
Capitolo 12, Problema 112b
Energy bands are considered continuous due to the large number of closely spaced energy levels. The range of energy levels in a crystal of copper is approximately 1×10−19 J. Assuming equal spacing between levels, one can approximate the spacing between energy levels by dividing the range of energies by the number of atoms in the crystal. b. Determine the average spacing in J between energy levels in the copper metal in part (a).
Guida verificata passo dopo passo1
Identify the given information: the range of energy levels in a crystal of copper is approximately \(1 \times 10^{-19}\) J.
Assume that the energy levels are equally spaced.
To find the average spacing between energy levels, divide the total range of energy levels by the number of atoms in the crystal.
Express the formula for average spacing as: \( \text{Average Spacing} = \frac{\text{Total Energy Range}}{\text{Number of Atoms}} \).
Substitute the given values into the formula to find the average spacing between energy levels.
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Energy Bands
Energy bands in solids arise from the overlap of atomic orbitals in a crystal lattice, leading to a continuum of energy levels. In metals like copper, these bands allow for the conduction of electricity as electrons can move freely between closely spaced energy levels. Understanding energy bands is crucial for analyzing the electronic properties of materials.
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03:13
Intepreting the Band of Stability
Energy Level Spacing
The spacing between energy levels in a solid can be approximated by dividing the total range of energy levels by the number of available states, which is often related to the number of atoms in the crystal. This concept is essential for determining how energy is quantized in a material and influences its electrical and thermal properties.
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01:26Nature of Energy
Crystal Structure
The arrangement of atoms in a crystal, known as its crystal structure, significantly affects its physical properties, including electrical conductivity. In metals like copper, the face-centered cubic (FCC) structure allows for a high density of atoms, contributing to the closely spaced energy levels that define the material's behavior in electronic applications.
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01:42Resonance Structures