How to draw the molecular orbital diagram for pent-1,4-diene with a carbocation at the third carbon and indicate HOMO and LUMO and what do those terms exactly mean.

Organic Chemistry
9th Edition
ISBN:9781305080485
Author:John E. McMurry
Publisher:John E. McMurry
Chapter14: Conjugated Compounds And Ultraviolet Spectroscopy
Section14.SE: Something Extra
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How to draw the molecular orbital diagram for pent-1,4-diene with a carbocation at the third carbon and indicate HOMO and LUMO and what do those terms exactly mean. 

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Applying formation of molecular orbital of organic molecules on basis of pericyclic chemistry. Molecular orbital having highest energy containing electron called HOMO whereas molecule orbital having lowest energy unoccupied electron is called LUMO

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