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A Linear String of Five Hydrogen Atoms

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Consider a linear string of five hydrogen atoms, H^5.

(a) Draw the five molecular orbitals of this molecule. Indicate nodes (nodal lines or planes) with dashed lines. Give the total number of nodal planes. Indicate + and - signs of the wave functions within the molecular orbitals.
(b) Determine the net overlap for each molecular orbital and classify it as bonding, nonbonding, or anti-bonding.
(c) Draw the energy level diagram for H^5 and fill in arrows for the electrons occupying those orbitals and assign a symmetry label for each molecular orbital (sgb, etc.).
(d) Determine the bond order for linear H^5.

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The expert examines a linear string of five hydrogen atoms.

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