nodal planes for each molecular orbital.    Hint: A nodal plane is a line through the molecule that denotes the sites of destructive  interference. An example is shown below with ethylene.    b)  Based  on  the  nodal  planes,  arrange  the  energy  levels  corresponding  to  the  8  molecular  orbitals  on  the  energy  level  diagram  (label  them using  the  numbering  provided  on  the  left  side of the molecular orbitals) on the next page, in order of lowest to highest energy.  c) Populate your molecular orbitals with electrons according to the filling rules given in the class  and label both the HOMO and the LUMO on your energy level diagram

Organic Chemistry
8th Edition
ISBN:9781305580350
Author:William H. Brown, Brent L. Iverson, Eric Anslyn, Christopher S. Foote
Publisher:William H. Brown, Brent L. Iverson, Eric Anslyn, Christopher S. Foote
Chapter5: Alkenes: Bonding, Nomenclature, And Properties
Section: Chapter Questions
Problem 5.11P: The structure of 1,2-propadiene (allene) is shown to the right. (a) Predict all approximate bond...
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  • 4. Octatetraene, C8H10, is an 8-membered linear carbon chain with alternating single and double 
    bonds. As a result, each carbon is left with an unhybridized p-orbital containing one electron. 
    This problem will take you through steps to construct and fill the molecular orbital diagram for 
    octatetraene based on the way these different p-orbitals can come together. 
     
    a)  The various molecular orbitals formed from octatetraene’s 8 unhybridized p-orbitals are 
    shown on the next page. Draw the nodal planes for each molecular orbital. 
     
    Hint: A nodal plane is a line through the molecule that denotes the sites of destructive 
    interference. An example is shown below with ethylene. 
     
    b)  Based  on  the  nodal  planes,  arrange  the  energy  levels  corresponding  to  the  8  molecular 
    orbitals  on  the  energy  level  diagram  (label  them using  the  numbering  provided  on  the  left 
    side of the molecular orbitals) on the next page, in order of lowest to highest energy. 
    c) Populate your molecular orbitals with electrons according to the filling rules given in the class 
    and label both the HOMO and the LUMO on your energy level diagram. 
    d)  Based on the diagram, what is the bond order of the ions C8H10+ and C8H102- ? Are these ions 
    paramagnetic or diamagnetic? 
Expert Solution
Step 1

Electrons first filled  the space at lower energy levels then upper energy levels in chronological order .

HOMO = Highest occupied molecular orbital 

LUMO = Lowest unoccupied molecular orbital 

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William H. Brown, Brent L. Iverson, Eric Anslyn, Christopher S. Foote
Publisher:
Cengage Learning