Domanda del libro di testo
Which would you expect to be the more ductile element: a. Ag or Mo
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 51e
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)?
Guida verificata passo dopo passo1
insert step 1: Understand that a molecular orbital (MO) diagram for a chain of atoms shows the energy levels of the molecular orbitals formed from the atomic orbitals of the atoms in the chain.
insert step 2: Recognize that for a linear chain of lithium atoms, the molecular orbitals are formed by the combination of the 2s atomic orbitals of each lithium atom.
insert step 3: Recall that the number of molecular orbitals formed is equal to the number of atomic orbitals combined. For a chain of six lithium atoms, there will be six molecular orbitals.
insert step 4: Arrange these molecular orbitals in order of increasing energy, starting with the lowest energy (bonding) orbital and ending with the highest energy (antibonding) orbital.
insert step 5: Identify the lowest-energy unoccupied molecular orbital (LUMO) and determine the number of nodes it contains. The number of nodes in a molecular orbital is typically one less than the number of the orbital in the sequence, starting from zero for the lowest energy orbital.
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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 nodes they possess. The arrangement of MOs helps predict the electronic structure and properties of the molecule, including bonding and antibonding interactions.
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Molecular Orbital Theory
Nodes in Molecular Orbitals
Nodes are regions in a molecular orbital where the probability of finding an electron is zero. The number of nodes in an orbital is related to its energy level; as the energy increases, the number of nodes also increases. For the lowest-energy unoccupied molecular orbital (LUMO), understanding the node count is crucial for predicting its reactivity and stability in chemical processes.
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Linear Chains and Orbital Overlap
In linear chains of atoms, such as lithium, the overlap of atomic orbitals leads to the formation of molecular orbitals that can accommodate more electrons as the number of atoms increases. The pattern of bonding and antibonding orbitals changes with the number of atoms, affecting the energy levels and node structure of the MOs. This concept is essential for constructing the molecular orbital diagram for a six-atom chain and analyzing its electronic properties.
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Pratica correlata
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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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Which of the following statements does not follow from the fact that the alkali metals have relatively weak metal–metal bonding? (a) The alkali metals are less dense than other metals. (b) The alkali metals are soft enough to be cut with a knife. (c) The alkali metals are more reactive than other metals. (d) The alkali metals have higher melting points than other metals. (e) The alkali metals have low ionization energies.
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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: 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
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?