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.13 - Solids & Modern Materials
Tro6th EditionChemistry: A Molecular ApproachISBN: 9780137832217
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TOC.tableOfContents
- Ch.1 - Matter, Measurement & Problem Solving118
- Ch.2 - Atoms & Elements106
- Ch.3 - Molecules and Compounds131
- Ch.4 - Chemical Reactions and Chemical Quantities56
- Ch.5 - Introduction to Solutions and Aqueous Solutions82
- Ch.6 - Gases114
- Ch.7 - Thermochemistry96
- Ch.8 - The Quantum-Mechanical Model of the Atom60
- Ch.9 - Periodic Properties of the Elements90
- Ch.10 - Chemical Bonding I: The Lewis Model89
- Ch.11 - Chemical Bonding II: Molecular Shapes, VSEPR & MO Theory85
- Ch.12 - Liquids, Solids & Intermolecular Forces51
- Ch.13 - Solids & Modern Materials47
- Ch.14 - Solutions90
- Ch.15 - Chemical Kinetics115
- Ch.16 - Chemical Equilibrium68
- Ch.17 - Acids and Bases136
- Ch.18 - Aqueous Ionic Equilibrium153
- Ch.19 - Free Energy & Thermodynamics93
- Ch.20 - Electrochemistry106
- Ch.21 - Radioactivity & Nuclear Chemistry74
- Ch.22 - Organic Chemistry140
Tro6th EditionChemistry: A Molecular ApproachISBN: 9780137832217Non è quello che usi tu?Cambia libro di testo
Capitolo 13, Problema 65
How many molecular orbitals are present in the conduction band of a sodium crystal with a mass of 3.67 g?
Guida verificata passo dopo passo1
Determine the molar mass of sodium (Na), which is approximately 22.99 g/mol.
Calculate the number of moles of sodium in the given mass using the formula: \( \text{moles of Na} = \frac{\text{mass of Na}}{\text{molar mass of Na}} \).
Use Avogadro's number (\(6.022 \times 10^{23}\) atoms/mol) to find the total number of sodium atoms in the sample: \( \text{number of Na atoms} = \text{moles of Na} \times 6.022 \times 10^{23} \).
In a sodium crystal, each sodium atom contributes one electron to the conduction band. Therefore, the number of molecular orbitals in the conduction band is equal to the number of sodium atoms.
Conclude that the number of molecular orbitals in the conduction band is equal to the number of sodium atoms calculated in the previous step.
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Molecular Orbitals
Molecular orbitals are formed by the linear combination of atomic orbitals when atoms bond together. In a solid, such as a sodium crystal, these orbitals can extend over many atoms, leading to the formation of bands, including the conduction band, which allows for electron movement and conductivity.
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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. In metals like sodium, the conduction band is partially filled, allowing electrons to flow easily under an applied electric field, which is essential for the material's conductive properties.
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03:13Intepreting the Band of Stability
Density of States
The density of states refers to the number of available electronic states at a given energy level in a solid. It is crucial for determining how many molecular orbitals are present in the conduction band, as it helps calculate the total number of states that electrons can occupy, influencing the material's electrical and thermal properties.
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01:56Density Concepts
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A substance has a band gap of 5.8 eV at 273 K. Is this substance best classified as an insulator, a semiconductor, or a metal?
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Which solid would you expect to have little or no band gap? a. Cu(s) b. Si(s) c. As(s)
Domanda del libro di testo
Does a photon of red light with a frequency of 4.29⨉1014 Hz have sufficient energy to promote an electron from the valence band to the conduction band in a sample of silicon (the band gap in silicon is 1.11 eV)?
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Domanda del libro di testo
Indicate if each solid forms an n-type or a p-type semiconductor. b. germanium doped with gallium