Molecular Orbital Diagrams Page 2

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Figure 3: The H
molecular orbital diagram.
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Making MO diagrams
Making MO diagrams requires knowing two different things: the flow diagram by which MO diagrams
are generated and the rules by which the flow-chart is processed.
2. The flow chart: Please carry out the steps below to generate the MO diagram for H
:
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(a) Place the two atomic orbital (AO) energy diagrams on the two sides of the sheet of paper.
(b) Place the correct electron fillings for the two AO diagrams, in this case one electron for each AO.
(c) Mix the AOs as we did yesterday to derive the two MOs. One of the AOs is bonding, the other
antibonding. They are indicated by horizontal lines in an orbital energy diagram at the middle
of the page.
(d) Draw the MOs which correspond with the new horizontal lines.
(e) Follow the Aufbau principle and fill the middle horizontal lines with the correct number of elec-
trons.
3. The rules There are three rules for making MO diagrams:
(a) In a minimal basis set MO diagram, the number of MOs equals the number of AOs.
(b) When two orbitals combine, they combine to make two new orbitals. The original orbitals combine
to make the lowest and highest energy combinations possible.
(c) Orbitals which are initially close in energy interact stronger than orbitals which are initially far
apart in energy. When two orbitals of different energy combine, the resultant low energy combi-
nation resembles more the initially lower energy orbital; the resultant high energy combination
resembles more the initially high energy orbital. Two orbitals of equal initial energy combine to
make two new orbitals with equal contributions from the two starting orbitals equally.
4. Please examine the H
MO diagram you have just made with the H
drum analog which you previously
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analyzed. Are the two diagrams in agreement with one another? If so, how so? If not, why not?
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