Repeat Exercise 12.47 for a linear chain of eight lithium atoms.

Data from Repeat exercise 12.47

The molecular-orbital diagrams for two- and four-atom linear chains of lithium atoms are shown in Figure 12.22. 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)?

(f) How does the HOMO–LUMO energy gap for this case compare to that of the four- atom case?

Transcribed Image Text:

Remember, dots represent nudlei and half-arrows Most represent electrons. antibonding 11 11 Most bonding Liz Number of atoms increasing Li Lig Lie Energy Filled MOs Empty MOs Band of molecular orbitals