Domanda del libro di testo
Repeat Exercise 12.51 for a linear chain of eight lithium atoms. (f) How does the HOMO–LUMO energy gap for this case compare to that of the four-atom case?
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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 51a
The molecular-orbital diagrams for two- and four-atom linear chains of lithium atoms are shown in Figure 12.21. Construct a molecular-orbital diagram for a chain containing six lithium atoms and use it to answer the following questions: a. How many molecular orbitals are there in the diagram?
Guida verificata passo dopo passo1
insert step 1: Understand that each lithium atom contributes one atomic orbital to the molecular orbital (MO) diagram.
insert step 2: Recognize that for a chain of six lithium atoms, each atom contributes one atomic orbital, resulting in six atomic orbitals.
insert step 3: Recall that the number of molecular orbitals formed is equal to the number of atomic orbitals combined.
insert step 4: Construct the molecular orbital diagram by arranging the six molecular orbitals in order of increasing energy.
insert step 5: Conclude that there are six molecular orbitals in the diagram for a chain of six lithium atoms.
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Molecular Orbitals
Molecular orbitals (MOs) are formed by the linear combination of atomic orbitals (LCAO) when atoms bond together. In a molecular orbital diagram, these orbitals are depicted based on their energy levels and the number of atomic orbitals involved. Each molecular orbital can hold a maximum of two electrons with opposite spins, and they are categorized as bonding, antibonding, or non-bonding based on their energy and stability.
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Percorso guidato
03:06
Molecular Orbital Theory
Linear Chains of Atoms
In a linear chain of atoms, such as lithium, the atomic orbitals combine to form molecular orbitals that extend over the entire chain. The number of molecular orbitals produced is equal to the number of atomic orbitals contributed by the atoms in the chain. For a chain of six lithium atoms, each contributing one atomic orbital, there will be six molecular orbitals in total, reflecting the collective behavior of the electrons in the chain.
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02:10Atom Structure
Energy Levels and Orbital Filling
Molecular orbitals are filled according to the Aufbau principle, where lower-energy orbitals are filled before higher-energy ones. The energy levels of the molecular orbitals in a chain can be visualized in a diagram, where bonding orbitals are lower in energy and antibonding orbitals are higher. Understanding how to fill these orbitals helps predict the stability and reactivity of the molecule, as well as the total number of orbitals present in the system.
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04:12Molecular Orbital Diagram
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Domanda del libro di testo
The molecular-orbital diagrams for two- and four-atom linear chains of lithium atoms are shown in Figure 12.21. Construct a molecular-orbital diagram for a chain containing six lithium atoms and use it to answer the following questions: e. How many nodes are in the lowest-energy unoccupied molecular orbital (LUMO)?
Domanda del libro di testo
The molecular-orbital diagrams for two- and four-atom linear chains of lithium atoms are shown in Figure 12.21. Construct a molecular-orbital diagram for a chain containing six lithium atoms and use it to answer the following questions: c. How many nodes are in the highest-energy molecular orbital?
Domanda del libro di testo
State whether each sentence is true or false: (b) Metals have high electrical conductivities because they are denser than other solids.
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Domanda del libro di testo
An increase in temperature causes most metals to undergo thermal expansion, which means the volume of the metal increases upon heating. How does thermal expansion affect the unit cell length? What is the effect of an increase in temperature on the density of a metal?
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