Question

butadiene (C4H10), the coefficients for the linear combination of atomic orbitals for the two lowest energy...

butadiene (C4H10), the coefficients for the linear combination of atomic orbitals for the two lowest energy π-MOs are:

Normalised Coefficients MO

                            Atom 1                 Atom 2                 Atom 3                 Atom 4

Wavefunction 2: +0.6015               +0.3717               –0.3717                –0.6015
Wavefunction1 : +0.3717               +0.6015                +0.6015                +0.3717

(i) Predict the coefficients at each atom for the two highest energy π-MOs (wavefunctions 3 & 4). Justify your solution using diagrams.

(ii) Calculate the total π-electron densities on atoms 1, 2, 3 and 4.

(iii) Calculate the total p-bond order between atoms 1-2, 2-3 and 3-4.

(iv) Estimate the total σ- and π-bond orders between atoms 1-2, 2-3 and 3-4.

(v) How does (iv) relate to the traditional representation of butadiene with a double-single-double bond structure.

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