Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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![### Construct the Molecular Orbital Diagram for He₂⁺
The diagram below represents the molecular orbital configuration for the He₂⁺ ion.
#### Explanation of the Diagram
##### Components:
- **Energy Axis (Vertical):** The vertical axis represents energy levels, increasing upwards.
- **Atomic Orbitals (1s):**
- On the left and right sides, the 1s orbitals of helium atoms are shown. Each atomic orbital can hold up to two electrons (not shown in the right 1s orbital for He⁺ because of the ion's positive charge).
- In the left atomic orbital (He), there is one electron indicated.
- **Molecular Orbitals:**
- In the center, molecular orbitals for He₂⁺ are depicted:
- **1σ_g:** The bonding molecular orbital.
- **1σ_u***: The antibonding molecular orbital.
- The left and right atomic orbitals combine to form these molecular orbitals.
##### Electron Configuration:
- In the He₂⁺ molecule, electrons fill the bonding molecular orbital (1σ_g) before the antibonding molecular orbital (1σ_u*).
- Here, a single electron is placed in the antibonding orbital (1σ_u*), indicating an incorrect placement based on the given answer bank at the side.
#### Answer Bank:
- Contains electron symbols (1↿, 1)
#### Correct Answer Note:
- The provided answer is marked as incorrect, hinting that the electron configuration may have been placed improperly in the molecular orbital.
For an accurate construction, the correct filling would place electrons in the lowest available energy state, following the Aufbau principle. Therefore, corrections might be needed.
#### Diagram:
[Depicts the following:]
- Two atomic orbitals labeled 1s (left and right).
- Middle section with two molecular orbitals labeled 1σ_g (bonding) at lower energy and 1σ_u* (antibonding) at higher energy.
- An electron is placed in the antibonding orbital incorrectly.
##### Observations:
- Ensure all electrons are placed accurately in their respective lowest energy molecular orbitals first.
---
#### Key Concepts:
- Molecular orbital theory helps understanding of bonding and antibonding interactions in diatomic molecules.
- Proper electron placement in molecular orbitals is crucial for understanding molecular stability and reactivity.
### Educational Note:
Understanding the placement of electrons in molecular orbitals is](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa563c0cc-a924-4c37-9f6b-c4caff62891a%2F05b3675b-e502-4515-80bf-b9f86d1b341b%2Frvpnnf_processed.png&w=3840&q=75)
Transcribed Image Text:### Construct the Molecular Orbital Diagram for He₂⁺
The diagram below represents the molecular orbital configuration for the He₂⁺ ion.
#### Explanation of the Diagram
##### Components:
- **Energy Axis (Vertical):** The vertical axis represents energy levels, increasing upwards.
- **Atomic Orbitals (1s):**
- On the left and right sides, the 1s orbitals of helium atoms are shown. Each atomic orbital can hold up to two electrons (not shown in the right 1s orbital for He⁺ because of the ion's positive charge).
- In the left atomic orbital (He), there is one electron indicated.
- **Molecular Orbitals:**
- In the center, molecular orbitals for He₂⁺ are depicted:
- **1σ_g:** The bonding molecular orbital.
- **1σ_u***: The antibonding molecular orbital.
- The left and right atomic orbitals combine to form these molecular orbitals.
##### Electron Configuration:
- In the He₂⁺ molecule, electrons fill the bonding molecular orbital (1σ_g) before the antibonding molecular orbital (1σ_u*).
- Here, a single electron is placed in the antibonding orbital (1σ_u*), indicating an incorrect placement based on the given answer bank at the side.
#### Answer Bank:
- Contains electron symbols (1↿, 1)
#### Correct Answer Note:
- The provided answer is marked as incorrect, hinting that the electron configuration may have been placed improperly in the molecular orbital.
For an accurate construction, the correct filling would place electrons in the lowest available energy state, following the Aufbau principle. Therefore, corrections might be needed.
#### Diagram:
[Depicts the following:]
- Two atomic orbitals labeled 1s (left and right).
- Middle section with two molecular orbitals labeled 1σ_g (bonding) at lower energy and 1σ_u* (antibonding) at higher energy.
- An electron is placed in the antibonding orbital incorrectly.
##### Observations:
- Ensure all electrons are placed accurately in their respective lowest energy molecular orbitals first.
---
#### Key Concepts:
- Molecular orbital theory helps understanding of bonding and antibonding interactions in diatomic molecules.
- Proper electron placement in molecular orbitals is crucial for understanding molecular stability and reactivity.
### Educational Note:
Understanding the placement of electrons in molecular orbitals is
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