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The species having diamagnetic nature an...

The species having diamagnetic nature and bond order 1.0 is

A

`O_(2)^(2-)`

B

`O_(2)^(+)`

C

`O_(2)^(2+)`

D

`O_(2)`

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To solve the question of identifying the species that has a diamagnetic nature and a bond order of 1.0, we will follow these steps: ### Step 1: Understand Diamagnetic and Bond Order - **Diamagnetic species** are those that have all their electrons paired. This means that there are no unpaired electrons present in the species. - **Bond order** is calculated using the formula: \[ \text{Bond Order} = \frac{(\text{Number of Bonding Electrons} - \text{Number of Antibonding Electrons})}{2} \] ### Step 2: Analyze the Options We will analyze the provided options to find out which one meets the criteria of being diamagnetic and having a bond order of 1.0. #### Option A: \(O_2^{2-}\) 1. **Electronic Configuration**: For \(O_2\), the electronic configuration is: - \(O: 1s^2 2s^2 2p^4\) (for each oxygen) - For \(O_2^{2-}\), we add 2 electrons: \(1s^2 2s^2 2p^6\) 2. **Filling the Molecular Orbitals**: - The molecular orbital filling will be: \(\sigma_{1s}^2 \sigma_{1s}^*^2 \sigma_{2s}^2 \sigma_{2s}^*^2 \sigma_{2p_z}^2 \pi_{2p_x}^2 \pi_{2p_y}^2\) 3. **Bonding and Antibonding Electrons**: - Bonding electrons = 6 (from \(\sigma_{1s}, \sigma_{2s}, \sigma_{2p_z}, \pi_{2p_x}, \pi_{2p_y}\)) - Antibonding electrons = 0 4. **Calculate Bond Order**: \[ \text{Bond Order} = \frac{(6 - 0)}{2} = 3 \] 5. **Check for Diamagnetism**: All electrons are paired, so it is diamagnetic. #### Option B: \(O_2^+\) 1. **Electronic Configuration**: For \(O_2^+\), we remove one electron: - Configuration: \(1s^2 2s^2 2p^3\) 2. **Filling the Molecular Orbitals**: - The filling will be: \(\sigma_{1s}^2 \sigma_{1s}^*^2 \sigma_{2s}^2 \sigma_{2s}^*^2 \sigma_{2p_z}^2 \pi_{2p_x}^1 \pi_{2p_y}^1\) 3. **Bonding and Antibonding Electrons**: - Bonding electrons = 5 - Antibonding electrons = 1 4. **Calculate Bond Order**: \[ \text{Bond Order} = \frac{(5 - 1)}{2} = 2 \] 5. **Check for Diamagnetism**: There are unpaired electrons, so it is paramagnetic. #### Option C: \(O_2^{2+}\) 1. **Electronic Configuration**: For \(O_2^{2+}\), we remove two electrons: - Configuration: \(1s^2 2s^2 2p^2\) 2. **Filling the Molecular Orbitals**: - The filling will be: \(\sigma_{1s}^2 \sigma_{1s}^*^2 \sigma_{2s}^2 \sigma_{2s}^*^2 \sigma_{2p_z}^2\) 3. **Bonding and Antibonding Electrons**: - Bonding electrons = 6 - Antibonding electrons = 0 4. **Calculate Bond Order**: \[ \text{Bond Order} = \frac{(6 - 0)}{2} = 3 \] 5. **Check for Diamagnetism**: All electrons are paired, so it is diamagnetic. #### Option D: \(O_2\) 1. **Electronic Configuration**: For \(O_2\): - Configuration: \(1s^2 2s^2 2p^4\) 2. **Filling the Molecular Orbitals**: - The filling will be: \(\sigma_{1s}^2 \sigma_{1s}^*^2 \sigma_{2s}^2 \sigma_{2s}^*^2 \sigma_{2p_z}^2 \pi_{2p_x}^1 \pi_{2p_y}^1\) 3. **Bonding and Antibonding Electrons**: - Bonding electrons = 6 - Antibonding electrons = 2 4. **Calculate Bond Order**: \[ \text{Bond Order} = \frac{(6 - 2)}{2} = 2 \] 5. **Check for Diamagnetism**: There are unpaired electrons, so it is paramagnetic. ### Conclusion From the analysis: - The only species that is diamagnetic and has a bond order of 1.0 is **Option A: \(O_2^{2-}\)**.
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