Which of the following set of quantum numbers (ordered .. me. m are possible for an election in an ato? Check all that apply. 031-2-12 0421-12 3.1.0-12 02.10.1 04.31.12 03.31-12 042-1-12 14.2.3-12 Submit X Incorrect Try Again Keep in mind that my is dependent on . Allowed values for are integers between zero and -1 Provide Feedback

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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I need help solving for Part C please

 

**Learning Goal:**  
To learn the restrictions on each quantum number. 

**Quantum Numbers Overview:**  
Quantum numbers are labels for the state of an electron. Each electron in an atom has a unique set of four quantum numbers, which provide important information about its position and energy.

1. **Principal Quantum Number (n):**  
   - Denotes the electron's shell or main energy level.  
   - Any positive integer (n = 1, 2, 3, ...).  
   - Examples: n = 3 for the 3p subshell.

2. **Angular Momentum Quantum Number (l):**  
   - Indicates subshell type (s, p, d, f), with values ranging from 0 to n-1.  
   - Codes: 0 = s, 1 = p, 2 = d, 3 = f.  
   - Examples: For n = 2, l = 0 (s) or l = 1 (p).

3. **Magnetic Quantum Number (m_l):**  
   - Specifies orientation of the orbital in space.  
   - Values range from -l to +l.  
   - Examples: For l = 1, m_l = -1, 0, or +1.

4. **Spin Quantum Number (m_s):**  
   - Represents the electron's spin direction.  
   - Possible values are +1/2 or -1/2 (spin up or spin down).

**Exercise Explanations:**

- **Part A:**  
  Express answer numerically for m_l values. For l = 0, m_l = 0.
  - Answer: 0 (Correct)

- **Part B:**  
  Possible m_l values for a d orbital.
  - Answer: -2, -1, 0, 1, 2 (Correct)

- **Part C:**  
  Identifying possible sets of quantum numbers (n, l, m_l, m_s) for an electron.
  - Answer: Check the correct options based on constraints for n, l, and m_l.
  - Incorrect demo selection for 4, 2, 3, -1/2, reminding that m_l is dependent on l.

**Hints and Feedback:**  
- Provides guidance and clarification on correct entries.
- Reminds of constraints on quantum numbers.

This content provides a comprehensive understanding of quantum numbers
Transcribed Image Text:**Learning Goal:** To learn the restrictions on each quantum number. **Quantum Numbers Overview:** Quantum numbers are labels for the state of an electron. Each electron in an atom has a unique set of four quantum numbers, which provide important information about its position and energy. 1. **Principal Quantum Number (n):** - Denotes the electron's shell or main energy level. - Any positive integer (n = 1, 2, 3, ...). - Examples: n = 3 for the 3p subshell. 2. **Angular Momentum Quantum Number (l):** - Indicates subshell type (s, p, d, f), with values ranging from 0 to n-1. - Codes: 0 = s, 1 = p, 2 = d, 3 = f. - Examples: For n = 2, l = 0 (s) or l = 1 (p). 3. **Magnetic Quantum Number (m_l):** - Specifies orientation of the orbital in space. - Values range from -l to +l. - Examples: For l = 1, m_l = -1, 0, or +1. 4. **Spin Quantum Number (m_s):** - Represents the electron's spin direction. - Possible values are +1/2 or -1/2 (spin up or spin down). **Exercise Explanations:** - **Part A:** Express answer numerically for m_l values. For l = 0, m_l = 0. - Answer: 0 (Correct) - **Part B:** Possible m_l values for a d orbital. - Answer: -2, -1, 0, 1, 2 (Correct) - **Part C:** Identifying possible sets of quantum numbers (n, l, m_l, m_s) for an electron. - Answer: Check the correct options based on constraints for n, l, and m_l. - Incorrect demo selection for 4, 2, 3, -1/2, reminding that m_l is dependent on l. **Hints and Feedback:** - Provides guidance and clarification on correct entries. - Reminds of constraints on quantum numbers. This content provides a comprehensive understanding of quantum numbers
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