Apply the Hückel approximation on the conjugated molecule, 1,3,5 – hexatriene, C6H8 to carry the following tasks:   (a) Set up the secular determinant   (b) Solve the secular determinant to obtain the roots (E1, E2, …).   (c) Draw the Hückel molecular orbital (MO) energy diagram and identify the frontier orbitals (HOMO and LUMO)   (d) Write the electron configuration based on the Hückel molecular orbitals   (e) Calculate the pi electronic energy, Epi

Physical Chemistry
2nd Edition
ISBN:9781133958437
Author:Ball, David W. (david Warren), BAER, Tomas
Publisher:Ball, David W. (david Warren), BAER, Tomas
Chapter15: Introduction To Electronic Spectroscopy And Structure
Section: Chapter Questions
Problem 15.48E: Construct the Hckel determinants for cyclobutadiene and cyclopentadiene. In what ways are they...
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Apply the Hückel approximation on the conjugated molecule, 1,3,5 – hexatriene, C6H8 to carry the following tasks:

 

(a) Set up the secular determinant

 

(b) Solve the secular determinant to obtain the roots (E1, E2, …).

 

(c) Draw the Hückel molecular orbital (MO) energy diagram and identify the frontier orbitals (HOMO and LUMO)

 

(d) Write the electron configuration based on the Hückel molecular orbitals

 

(e) Calculate the pi electronic energy, Epi

 

(f) Calculate the pi-bond formation energy, Ebf

 

(g) What is the lowest excitation energy?

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