Construct the molecular orbital diagram for He₂. He 0 0.5 1 O 1.5 02 1s Identify the bond order. He₂ o* 1s °1s He C 1s

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...
icon
Related questions
icon
Concept explainers
Question
### Construct the Molecular Orbital Diagram for \( He_2 \)

To construct the molecular orbital (MO) diagram for the diatomic helium molecule \( He_2 \), follow these steps:

#### Diagram Explanation
- **Atomic Orbitals (AOs) from Each Helium Atom:** 
  - Each helium atom \( He \) contributes one \( 1s \) atomic orbital, represented at each side of the diagram.
  - These \( 1s \) orbitals are shown as squares labeled "1s" on both the left and right sides of the diagram.

- **Molecular Orbitals (MOs):**
  - When combining the two \( 1s \) atomic orbitals from each helium atom, two molecular orbitals are formed: a bonding orbital (\( \sigma_{1s} \)) and an antibonding orbital (\( \sigma^*_{1s} \)).
  - The bonding orbital (\( \sigma_{1s} \)) is at a lower energy level and is represented at the bottom center of the diagram.
  - The antibonding orbital (\( \sigma^*_{1s} \)) is at a higher energy level and is represented at the top center of the diagram.
  - The electron configuration is represented using boxes and arrows to show the electrons. He atom (1s²) will have two electrons represented by opposite-facing arrows in the box.

- **Electron Placement:**
  - Follow the given placeholders (dashed squares) for electrons in the molecular orbitals.
  - The Answer Bank provides arrows indicating electron spin. One shows a single upward arrow and the other a pair of arrows (one up and one down).

#### Bond Order Calculation
- **Identify the Bond Order:**
  - Bond order is calculated using the formula:
    \[
    \text{Bond Order} = \frac{(N_b - N_a)}{2}
    \]
    where \( N_b \) is the number of electrons in bonding orbitals and \( N_a \) is the number of electrons in antibonding orbitals.
  - For \( He_2 \), the electrons in \( \sigma_{1s} \) and \( \sigma^*_{1s} \) need to be summed up to identify the corresponding bond order.

Lastly, you can select the bond order from the given options:
- \( \circ \) 0
- \(
Transcribed Image Text:### Construct the Molecular Orbital Diagram for \( He_2 \) To construct the molecular orbital (MO) diagram for the diatomic helium molecule \( He_2 \), follow these steps: #### Diagram Explanation - **Atomic Orbitals (AOs) from Each Helium Atom:** - Each helium atom \( He \) contributes one \( 1s \) atomic orbital, represented at each side of the diagram. - These \( 1s \) orbitals are shown as squares labeled "1s" on both the left and right sides of the diagram. - **Molecular Orbitals (MOs):** - When combining the two \( 1s \) atomic orbitals from each helium atom, two molecular orbitals are formed: a bonding orbital (\( \sigma_{1s} \)) and an antibonding orbital (\( \sigma^*_{1s} \)). - The bonding orbital (\( \sigma_{1s} \)) is at a lower energy level and is represented at the bottom center of the diagram. - The antibonding orbital (\( \sigma^*_{1s} \)) is at a higher energy level and is represented at the top center of the diagram. - The electron configuration is represented using boxes and arrows to show the electrons. He atom (1s²) will have two electrons represented by opposite-facing arrows in the box. - **Electron Placement:** - Follow the given placeholders (dashed squares) for electrons in the molecular orbitals. - The Answer Bank provides arrows indicating electron spin. One shows a single upward arrow and the other a pair of arrows (one up and one down). #### Bond Order Calculation - **Identify the Bond Order:** - Bond order is calculated using the formula: \[ \text{Bond Order} = \frac{(N_b - N_a)}{2} \] where \( N_b \) is the number of electrons in bonding orbitals and \( N_a \) is the number of electrons in antibonding orbitals. - For \( He_2 \), the electrons in \( \sigma_{1s} \) and \( \sigma^*_{1s} \) need to be summed up to identify the corresponding bond order. Lastly, you can select the bond order from the given options: - \( \circ \) 0 - \(
Expert Solution
steps

Step by step

Solved in 3 steps with 8 images

Blurred answer
Knowledge Booster
Theories of Bonding
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, chemistry and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Chemistry
Chemistry
Chemistry
ISBN:
9781305957404
Author:
Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:
Cengage Learning
Chemistry
Chemistry
Chemistry
ISBN:
9781259911156
Author:
Raymond Chang Dr., Jason Overby Professor
Publisher:
McGraw-Hill Education
Principles of Instrumental Analysis
Principles of Instrumental Analysis
Chemistry
ISBN:
9781305577213
Author:
Douglas A. Skoog, F. James Holler, Stanley R. Crouch
Publisher:
Cengage Learning
Organic Chemistry
Organic Chemistry
Chemistry
ISBN:
9780078021558
Author:
Janice Gorzynski Smith Dr.
Publisher:
McGraw-Hill Education
Chemistry: Principles and Reactions
Chemistry: Principles and Reactions
Chemistry
ISBN:
9781305079373
Author:
William L. Masterton, Cecile N. Hurley
Publisher:
Cengage Learning
Elementary Principles of Chemical Processes, Bind…
Elementary Principles of Chemical Processes, Bind…
Chemistry
ISBN:
9781118431221
Author:
Richard M. Felder, Ronald W. Rousseau, Lisa G. Bullard
Publisher:
WILEY