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Ch. 21 - Conjugated Systems I: Stability and Addition Reactions
Mullins - Organic Chemistry: A Learner Centered Approach 1st Edition
Mullins1st EditionOrganic Chemistry: A Learner Centered ApproachISBN: 9780137566471Not the one you use?Change textbook
Chapter 20, Problem 53

Draw the molecular orbital picture of octa-1,3,5,7-­tetraene, indicating which is the HOMO and which is the LUMO.

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1
Identify the structure of octa-1,3,5,7-tetraene, which is a linear conjugated system with eight carbon atoms and alternating double bonds.
Determine the number of π electrons in the molecule. Each double bond contributes two π electrons, so for four double bonds, there are 8 π electrons.
Construct the molecular orbital diagram for a linear conjugated system with eight π electrons. This involves creating a series of π molecular orbitals, each with increasing energy levels.
Fill the molecular orbitals with the 8 π electrons, starting from the lowest energy orbital and following Hund's rule and the Pauli exclusion principle.
Identify the Highest Occupied Molecular Orbital (HOMO) as the highest energy orbital that contains electrons, and the Lowest Unoccupied Molecular Orbital (LUMO) as the next higher energy orbital that does not contain electrons.

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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Molecular Orbitals

Molecular orbitals (MOs) are formed by the combination of atomic orbitals when atoms bond together. In conjugated systems like octa-1,3,5,7-tetraene, MOs can be classified as bonding, non-bonding, or antibonding. The arrangement and energy levels of these orbitals are crucial for understanding the electronic structure and reactivity of the molecule.
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HOMO and LUMO

The Highest Occupied Molecular Orbital (HOMO) is the molecular orbital that contains the highest energy electrons, while the Lowest Unoccupied Molecular Orbital (LUMO) is the lowest energy orbital that is unoccupied. The energy difference between the HOMO and LUMO is significant for predicting the molecule's reactivity and stability, as it influences how the molecule interacts with light and other chemical species.
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Conjugation

Conjugation refers to the overlap of p-orbitals across adjacent double bonds, allowing for delocalization of π electrons. In octa-1,3,5,7-tetraene, this delocalization stabilizes the molecule and affects its electronic properties. Understanding conjugation is essential for drawing accurate molecular orbital diagrams and predicting the behavior of the molecule in various chemical contexts.
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