Question

One of the three HMO molecular orbitals (MOs) for allyl radical is given below:

ψ = ½ χ₁ – (1/√2) χ₂ + ½ χ₃

Find out all three MOs of allyl radical and arrange them in order of increasing energy. Justify your answer. 

22 Aug 2025
Answer :
Word Count : 140
Given ψ₃ = ½χ₁ − (1/√2)χ₂ + ½χ₃, the complete Hückel set for allyl (three pz AO basis χ₁, χ₂, χ₃) is obtained from the 3×3 tridiagonal secular ___ ___ ____ ___ ______ ___ _____ ___ _________ ______ __________.
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___ _____ _______ ___ ___ _________ ___ __________ ________ ______ ______ __________.
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___ _________ _____ ___ ___ _____ _______ ___ ________.
_____ _________ __________ _____ ________ ______ ________ __________ ___ _____.
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________ ______ ___ _________ _____ ______ ________ _______ _______ ____.
_______ ___ ________ _______ _____ __________.
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