Domanda del libro di testo
Which would you expect to be the more ductile element, (a) Ag or Mo? (b) Zn or Si? In each case explain your reasoning.
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Ch.12 - Solids and Modern Materials
Brown14th EditionChemistry: The Central ScienceISBN: 9780134414232
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TOC.tableOfContents
- Ch.1 - Introduction: Matter, Energy, and Measurement177
- Ch.2 - Atoms, Molecules, and Ions231
- Ch.3 - Chemical Reactions and Reaction Stoichiometry216
- Ch.4 - Reactions in Aqueous Solution189
- Ch.5 - Thermochemistry175
- Ch.6 - Electronic Structure of Atoms168
- Ch.7 - Periodic Properties of the Elements150
- Ch.8 - Basic Concepts of Chemical Bonding177
- Ch.9 - Molecular Geometry and Bonding Theories200
- Ch.10 - Gases179
- Ch.11 - Liquids and Intermolecular Forces113
- Ch.12 - Solids and Modern Materials154
- Ch.13 - Properties of Solutions157
- Ch.14 - Chemical Kinetics199
- Ch.15 - Chemical Equilibrium128
- Ch.16 - Acid-Base Equilibria164
- Ch.17 - Additional Aspects of Aqueous Equilibria163
- Ch.18 - Chemistry of the Environment105
- Ch.19 - Chemical Thermodynamics164
- Ch.20 - Electrochemistry171
- Ch.21 - Nuclear Chemistry122
- Ch.22 - Chemistry of the Nonmetals82
- Ch.23 - Transition Metals and Coordination Chemistry79
- Ch.24 - The Chemistry of Life: Organic and Biological Chemistry16
Brown14th EditionChemistry: The Central ScienceISBN: 9780134414232Non 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 12.22. 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
Identify the molecular orbitals for a chain of six lithium atoms from the provided diagram.
Determine the number of molecular orbitals by counting the distinct energy levels shown in the diagram.
Locate the lowest-energy unoccupied molecular orbital (LUMO) by finding the first unoccupied orbital above the highest occupied molecular orbital (HOMO).
Count the number of nodes in the LUMO. Nodes are regions where the probability of finding an electron is zero.
Verify the number of nodes by comparing with the pattern observed in the molecular orbitals of the lithium chain.
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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 with their energy levels, showing how electrons are distributed among them. The arrangement of MOs helps predict the bonding and antibonding characteristics of molecules, influencing their stability and reactivity.
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03:06
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; higher energy orbitals have more nodes. For the lowest-energy unoccupied molecular orbital (LUMO), the number of nodes can be determined by analyzing the molecular orbital diagram, which indicates how many times the wave function changes sign.
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03:06Molecular Orbital Theory
Linear Chains of Atoms
In a linear chain of atoms, such as lithium atoms, the molecular orbitals are influenced by the number of atoms in the chain. As more atoms are added, the number of molecular orbitals increases, and their energy levels become more closely spaced. This affects the distribution of electrons and the characteristics of the LUMO, which can be analyzed to determine properties like conductivity and reactivity in materials.
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02:10Atom Structure
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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 12.22. 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?
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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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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.
753
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Domanda del libro di testo
Repeat Exercise 12.51 for a linear chain of eight lithium atoms. (b) How many nodes are in the lowest-energy molecular orbital? (c) How many nodes are in the highestenergy molecular orbital? (d) How many nodes are in the highest-energy occupied molecular orbital (HOMO)? (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 12.22. 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?
697
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