Domanda del libro di testo
Which solid would you expect to have the largest band gap? a. As(s) b. Sb(s) c. Bi(s)
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Ch.12 - Solids and Modern Material
Tro4th EditionChemistry: A Molecular ApproachISBN: 9780134112831
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TOC.tableOfContents
- Ch.1 - Matter, Measurement & Problem Solving136
- Ch.2 - Atoms & Elements112
- Ch.3 - Molecules, Compounds & Chemical Equations159
- Ch.4 - Chemical Quantities & Aqueous Reactions140
- Ch.5 - Gases118
- Ch.6 - Thermochemistry106
- Ch.7 - Quantum-Mechanical Model of the Atom62
- Ch.8 - Periodic Properties of the Elements103
- Ch.9 - Chemical Bonding I: The Lewis Model104
- Ch.10 - Chemical Bonding II: Molecular Shapes & Valence Bond Theory89
- Ch.11 - Liquids, Solids & Intermolecular Forces73
- Ch.12 - Solids and Modern Material59
- Ch.13 - Solutions110
- Ch.14 - Chemical Kinetics140
- Ch.15 - Chemical Equilibrium78
- Ch.16 - Acids and Bases155
- Ch.17 - Aqueous Ionic Equilibrium176
- Ch.18 - Free Energy and Thermodynamics108
- Ch.19 - Electrochemistry118
- Ch.20 - Radioactivity and Nuclear Chemistry82
- Ch.21 - Organic Chemistry150
Tro4th EditionChemistry: A Molecular ApproachISBN: 9780134112831Non è quello che usi tu?Cambia libro di testo
Capitolo 12, Problema 61
How many molecular orbitals are present in the conduction band of a lithium crystal with a mass of 11.2 g?
Guida verificata passo dopo passo1
Determine the number of moles of lithium in the given mass using the formula: \( \text{moles} = \frac{\text{mass}}{\text{molar mass}} \). The molar mass of lithium is approximately 6.94 g/mol.
Calculate the number of lithium atoms using Avogadro's number \( 6.022 \times 10^{23} \text{ atoms/mol} \). Multiply the number of moles by Avogadro's number to find the total number of atoms.
Recognize that in a lithium crystal, each lithium atom contributes one electron to the conduction band. Therefore, the number of molecular orbitals in the conduction band is equal to the number of lithium atoms.
Understand that in a solid, the molecular orbitals form bands. The conduction band is formed by the overlap of atomic orbitals from all the lithium atoms in the crystal.
Conclude that the number of molecular orbitals in the conduction band is equal to the number of lithium atoms calculated in step 2.
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Molecular Orbitals
Molecular orbitals are formed by the linear combination of atomic orbitals when atoms bond together. In a solid, these orbitals can extend over many atoms, leading to the formation of bands, such as the conduction band, which allows for the movement of electrons. Understanding how these orbitals combine is crucial for analyzing the electronic properties of materials.
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Percorso guidato
03:06
Molecular Orbital Theory
Conduction Band
The conduction band is a range of energy levels in a solid where electrons can move freely, contributing to electrical conductivity. Electrons in this band are not bound to any particular atom, allowing them to conduct electricity. The number of molecular orbitals in the conduction band is related to the number of atoms in the crystal and their respective atomic orbitals.
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03:13Intepreting the Band of Stability
Lithium Crystal Structure
Lithium, being a metal, has a body-centered cubic (BCC) crystal structure, which influences its electronic properties. The arrangement of lithium atoms in this structure determines how many atomic orbitals combine to form molecular orbitals in the conduction band. The mass of the lithium crystal can help determine the number of atoms present, which is essential for calculating the total number of molecular orbitals.
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01:42Resonance Structures