Below is a molecular orbital diagram for O22. Calculate the bond order - show your work. 0,²- 2P ↑↓↑↓ π ZP ↑↓↑↓ ↑↓ ↑↓ ← ↓ 20 02p o 2S 025

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## Molecular Orbital Diagram for \( \text{O}_2^{2-} \)

**Problem Statement:**
Below is a molecular orbital diagram for \( \text{O}_2^{2-} \). Calculate the bond order – show your work.

**Molecular Orbital Diagram:**

```
O_2^{2-}
```

```
     _____  σ*_{2p} 
 ___   ↑↓      π*_{2p}
| \_\__ ↑↓  ↑↓ __π_{2p}
|_↑↓__  ↑↓   σ_{2p}__     
|_↑↓__  σ*_{2s}       
|_↑↓__  σ_{2s}       
```

### Explanation of the Diagram:
The diagram shows the arrangement of electrons in the molecular orbitals of \( \text{O}_2^{2-} \). Each rectangular box represents a molecular orbital, while the arrows inside the boxes represent the electrons with their respective spins.

From bottom to top, the molecular orbitals are:

- \( \sigma_{2s} \): Lower energy bonding orbital formed from the \(2s\) atomic orbitals.
- \( \sigma^*_{2s} \): Higher energy antibonding orbital formed from the \(2s\) atomic orbitals.
- \( \sigma_{2p} \): Lower energy bonding orbital formed from the \(2p_z\) atomic orbitals.
- \( \pi_{2p} \): Bonding orbitals formed from the \(2p_x\) and \(2p_y\) atomic orbitals.
- \( \pi^*_{2p} \): Antibonding orbitals formed from the \(2p_x\) and \(2p_y\) atomic orbitals.
- \( \sigma^*_{2p} \): Higher energy antibonding orbital formed from the \(2p_z\) atomic orbitals.

### Bond Order Calculation:
Bond order is calculated using the formula:
\[ \text{Bond Order} = \frac{(\text{number of bonding electrons}) - (\text{number of antibonding electrons})}{2} \]

From the diagram:
- Number of bonding electrons (\(σ_{2s}\), \(σ_{2p}\), \(π_{2p}\)): \(2 + 2 + 4 = 8\)
- Number of
Transcribed Image Text:--- ## Molecular Orbital Diagram for \( \text{O}_2^{2-} \) **Problem Statement:** Below is a molecular orbital diagram for \( \text{O}_2^{2-} \). Calculate the bond order – show your work. **Molecular Orbital Diagram:** ``` O_2^{2-} ``` ``` _____ σ*_{2p} ___ ↑↓ π*_{2p} | \_\__ ↑↓ ↑↓ __π_{2p} |_↑↓__ ↑↓ σ_{2p}__ |_↑↓__ σ*_{2s} |_↑↓__ σ_{2s} ``` ### Explanation of the Diagram: The diagram shows the arrangement of electrons in the molecular orbitals of \( \text{O}_2^{2-} \). Each rectangular box represents a molecular orbital, while the arrows inside the boxes represent the electrons with their respective spins. From bottom to top, the molecular orbitals are: - \( \sigma_{2s} \): Lower energy bonding orbital formed from the \(2s\) atomic orbitals. - \( \sigma^*_{2s} \): Higher energy antibonding orbital formed from the \(2s\) atomic orbitals. - \( \sigma_{2p} \): Lower energy bonding orbital formed from the \(2p_z\) atomic orbitals. - \( \pi_{2p} \): Bonding orbitals formed from the \(2p_x\) and \(2p_y\) atomic orbitals. - \( \pi^*_{2p} \): Antibonding orbitals formed from the \(2p_x\) and \(2p_y\) atomic orbitals. - \( \sigma^*_{2p} \): Higher energy antibonding orbital formed from the \(2p_z\) atomic orbitals. ### Bond Order Calculation: Bond order is calculated using the formula: \[ \text{Bond Order} = \frac{(\text{number of bonding electrons}) - (\text{number of antibonding electrons})}{2} \] From the diagram: - Number of bonding electrons (\(σ_{2s}\), \(σ_{2p}\), \(π_{2p}\)): \(2 + 2 + 4 = 8\) - Number of
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