Solutions to MO Exercises

Exercises

Exercise 1. What is the bond order for C2+?

First draw the MO diagram. There are a total of 11 electrons (subtract one electron for the positive charge).

Molecular orbital diagram for C<sub>2</sub><sup>+</sup> ion

Bond order = 1/2(bonding – antibonding) = 1/2 (7 – 4) = 1.5

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Exercise 2. What is the bond order for O2?

Draw the MO diagram. There are a total of 17 electrons.

Molecular orbital diagram for O<sub>2</sub><sup>-</sup> ion

Bond order = 1/2(bonding – antibonding) = 1/2 (10 – 7) = 1.5

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Exercise 3. Write the MO configuration for N2+. Is this diamagnetic or paramagnetic? What is the bond order?

First we draw the MO diagram.

Molecular orbital diagram for the N<sub>2</sub><sup>+</sup> ion

The electron configuration is (σ1s)2 (σ*1s)22s)2 (σ*2s)22p)42p)1

The ion is paramagnetic due to an unpaired electron.

Bond order = 1/2 (9 – 4) = 2.5

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Exercise 4. What is the MO configuration for C2? What is the bond order?

First we draw the MO diagram.

Molecular orbital diagram for C<sub>2</sub><sup>-</sup> anion

Bond order = 1/2 (9 – 4) = 2.5

The electron configuration is (σ1s)2 (σ*1s)22s)2 (σ*2s)22p)42p)1

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Exercise 5. What is the bond order for NO+?

First we draw the MO diagram. Notice in the diagram the energy for the more electronegative atom, O, is lower due to the stabilization of the lone pairs of electrons.

Molecular Orbital Diagram for NO<sup>+</sup> cation

Bond order = 1/2 (10 – 4) = 3

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Exercise 6. Write the electron configuration for CO.

First we draw the MO diagram. Notice in the diagram the energy for the more electronegative atom, O, is lower due to the stabilization of the lone pairs of electrons.

Molecular orbital diagram for CO

The electron configuration is (σ1s)2 (σ*1s)22s)2 (σ*2s)22p)42p)2

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