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The molecular-orbital diagrams for two- and four-atom linear chains of lithium atoms are shown in Figure. Construct a molecular-orbital diagram for a chain containing six lithium atoms and use it to answer the following questions.
(a) How many molecular orbitals are there in the diagram?
(b) How many nodes are in the lowest-energy molecular orbital?
(c) How many nodes are in the highest energy molecular orbital?
(d) How many nodes are in the highest-energy occupied molecular orbital (HOMO)?
(e) How many nodes are in the lowest-energy unoccupied molecular orbital (LUMO)?
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