A. Determine the symmetries of the four pi orbitals of methylenecyclopropene and write the most general pi wave functions which possess these symmetries B. Set up the secular determinant derived from Huckel theory for this molecule C. The roots of the secular energy diagram for this molecule are X = -2.170, -0.311, +1.00, and +1.481. Draw an energy level iagram for this molecule and determine the delocalization energy of the neutral species . The wave function for the lowest pi MO is pisia = 0.278p1 +0.612p2 +0.524p3 + 524p4. Using Huckel approximation theory, determine the energy of this orbital in terms Dof alpha and beta CLS (5)

Physical Chemistry
2nd Edition
ISBN:9781133958437
Author:Ball, David W. (david Warren), BAER, Tomas
Publisher:Ball, David W. (david Warren), BAER, Tomas
Chapter13: Introduction To Symmetry In Quantum Mechanics
Section: Chapter Questions
Problem 13.21E
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A. Determine the symmetries of the four pi
orbitals of methylenecyclopropene and
write the most general pi wave functions
.which possess these symmetries
B. Set up the secular determinant derived
from Huckel theory for this molecule
C. The roots of the secular energy diagram
for this molecule are X = -2.170, -0.311,
+1.00, and +1.481. Draw an energy level
diagram for this molecule and determine the
.delocalization energy of the neutral species
D. The wave function for the lowest pi MO is
pisia = 0.278p1 + 0.612p2 + 0.524p3 +
0.524p4. Using Huckel approximation theory,
determine the energy of this orbital in terms
5 .of alpha and beta
The structure of methylenecydaprapencis shena hedom:
Transcribed Image Text:A. Determine the symmetries of the four pi orbitals of methylenecyclopropene and write the most general pi wave functions .which possess these symmetries B. Set up the secular determinant derived from Huckel theory for this molecule C. The roots of the secular energy diagram for this molecule are X = -2.170, -0.311, +1.00, and +1.481. Draw an energy level diagram for this molecule and determine the .delocalization energy of the neutral species D. The wave function for the lowest pi MO is pisia = 0.278p1 + 0.612p2 + 0.524p3 + 0.524p4. Using Huckel approximation theory, determine the energy of this orbital in terms 5 .of alpha and beta The structure of methylenecydaprapencis shena hedom:
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