15. How many electrons are in the two degenerate * molecular orbitals (MOs)? A. There are three electrons with one * MO being doubly occupied and the other singly occupied. B. There are two electrons with each * MO being singly occupied. C. There are two electrons that occupy one of the two * MOs. D. There are four electrons that occupy both * MOs. E. There is only one electron that occupies one of the two * MOs.

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Chapter6: Quantum Mechanics And Molecular Structure
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Problem 61P: Discuss the nature of the bonding in the nitrite ion (NO2) . Draw the possible Lewis resonance...
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### Molecular Orbital Diagram of OF⁻

This diagram depicts the molecular orbital (MO) arrangement for the OF⁻ ion. Understanding this diagram helps explain the bonding and properties of oxygen-fluoride anions. Here's a breakdown of the components:

#### Atomic Orbitals
- **Oxygen (O)** and **Fluorine (F)** contribute individual atomic orbitals to form the molecular orbitals in OF⁻.
- These atomic orbitals are labeled as:
  - For Oxygen: \( 2s, 2p_x, 2p_y, 2p_z \)
  - For Fluorine: \( 2s, 2p_x, 2p_y, 2p_z \)

#### Molecular Orbitals
- Molecular orbitals are formed from the combination of the atomic orbitals from O and F.
- The molecular orbitals are labeled according to their type and energy levels, with sigma (\( \sigma \)) and pi (\( \pi \)) denoting bonding types.

1. **Sigma and Pi Bonding Orbitals:**
   - \( \sigma_{2s} \) and \( \sigma_{2s}^* \): Resulting from the combination of 2s orbitals.
   - \( \sigma_{2p_z} \): From the combination of \( 2p_z \) orbitals.
   - \( \pi_{2p_x} \) and \( \pi_{2p_y} \): From the combination of \( 2p_x \) and \( 2p_y \) orbitals respectively.

2. **Sigma and Pi Anti-bonding Orbitals:**
   - \( \pi_{2p_x}^* \) and \( \pi_{2p_y}^* \): Anti-bonding counterparts for \( \pi_{2p_x} \) and \( \pi_{2p_y} \).
   - \( \sigma_{2p_z}^* \): Anti-bonding counterpart for \( \sigma_{2p_z} \).

#### Energy Diagram
- The diagram is organized vertically with increasing energy from bottom to top.
- Solid horizontal lines indicate the relative energy levels of the orbitals.
- Dashed lines represent the hypothetical interactions and resulting volumes from the mixing of atomic orbitals to form molecular orbitals.

This visual representation is key for understanding the electronic configuration of OF⁻ and explaining
Transcribed Image Text:### Molecular Orbital Diagram of OF⁻ This diagram depicts the molecular orbital (MO) arrangement for the OF⁻ ion. Understanding this diagram helps explain the bonding and properties of oxygen-fluoride anions. Here's a breakdown of the components: #### Atomic Orbitals - **Oxygen (O)** and **Fluorine (F)** contribute individual atomic orbitals to form the molecular orbitals in OF⁻. - These atomic orbitals are labeled as: - For Oxygen: \( 2s, 2p_x, 2p_y, 2p_z \) - For Fluorine: \( 2s, 2p_x, 2p_y, 2p_z \) #### Molecular Orbitals - Molecular orbitals are formed from the combination of the atomic orbitals from O and F. - The molecular orbitals are labeled according to their type and energy levels, with sigma (\( \sigma \)) and pi (\( \pi \)) denoting bonding types. 1. **Sigma and Pi Bonding Orbitals:** - \( \sigma_{2s} \) and \( \sigma_{2s}^* \): Resulting from the combination of 2s orbitals. - \( \sigma_{2p_z} \): From the combination of \( 2p_z \) orbitals. - \( \pi_{2p_x} \) and \( \pi_{2p_y} \): From the combination of \( 2p_x \) and \( 2p_y \) orbitals respectively. 2. **Sigma and Pi Anti-bonding Orbitals:** - \( \pi_{2p_x}^* \) and \( \pi_{2p_y}^* \): Anti-bonding counterparts for \( \pi_{2p_x} \) and \( \pi_{2p_y} \). - \( \sigma_{2p_z}^* \): Anti-bonding counterpart for \( \sigma_{2p_z} \). #### Energy Diagram - The diagram is organized vertically with increasing energy from bottom to top. - Solid horizontal lines indicate the relative energy levels of the orbitals. - Dashed lines represent the hypothetical interactions and resulting volumes from the mixing of atomic orbitals to form molecular orbitals. This visual representation is key for understanding the electronic configuration of OF⁻ and explaining
**Question 15: Molecular Orbital Occupancy**

**How many electrons are in the two degenerate π<sub>2p</sub>* molecular orbitals (MOs)?**

A. There are three electrons with one π<sub>2p</sub>* MO being doubly occupied and the other singly occupied.  

B. There are two electrons with each π<sub>2p</sub>* MO being singly occupied.  

C. There are two electrons that occupy one of the two π<sub>2p</sub>* MOs.  

D. There are four electrons that occupy both π<sub>2p</sub>* MOs.  

E. There is only one electron that occupies one of the two π<sub>2p</sub>* MOs.
Transcribed Image Text:**Question 15: Molecular Orbital Occupancy** **How many electrons are in the two degenerate π<sub>2p</sub>* molecular orbitals (MOs)?** A. There are three electrons with one π<sub>2p</sub>* MO being doubly occupied and the other singly occupied. B. There are two electrons with each π<sub>2p</sub>* MO being singly occupied. C. There are two electrons that occupy one of the two π<sub>2p</sub>* MOs. D. There are four electrons that occupy both π<sub>2p</sub>* MOs. E. There is only one electron that occupies one of the two π<sub>2p</sub>* MOs.
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