Principle Quantum ALL Possible values of Angular ALL Possible values of Momentum Quantum Number / Magnetic Quantum Number | (m) Number n = 1 n= 3

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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Fill in the table below with ALL possible values of the Angular Momentum
Quantum Number ( l ) and the Magnetic Quantum Number ( ml ) given the value
of the Principle Quantum Number (n).

 

 

The table presented is designed to illustrate the possible values of angular momentum and magnetic quantum numbers for given principal quantum numbers. Here is a description of each part of the table:

**Table Structure:**

- **Columns:**
  1. **Principal Quantum Number**: Represented by \( n \), which can take integer values starting from 1. It indicates the main energy level of an electron in an atom.
  2. **All Possible Values of Angular Momentum Quantum Number (\( l \))**: This describes the shape of the electron's orbital and can take integer values from 0 to \( n-1 \).
  3. **All Possible Values of Magnetic Quantum Number (\( m_l \))**: This describes the orientation of the orbital in space and can take integer values from \(-l\) to \(+l\).

- **Rows:**
  - **\( n = 1 \)**
    - Values for \( l \) and \( m_l \) are to be determined.
  - **\( n = 2 \)**
    - Values for \( l \) and \( m_l \) are to be determined.
  - **\( n = 3 \)**
    - Values for \( l \) and \( m_l \) are to be determined.

**Educational Context:**

This table serves as an educational tool to help students understand how quantum numbers determine the quantum state of electrons in atoms. By filling in the cells, students can visualize the relationships and possible combinations of quantum numbers.
Transcribed Image Text:The table presented is designed to illustrate the possible values of angular momentum and magnetic quantum numbers for given principal quantum numbers. Here is a description of each part of the table: **Table Structure:** - **Columns:** 1. **Principal Quantum Number**: Represented by \( n \), which can take integer values starting from 1. It indicates the main energy level of an electron in an atom. 2. **All Possible Values of Angular Momentum Quantum Number (\( l \))**: This describes the shape of the electron's orbital and can take integer values from 0 to \( n-1 \). 3. **All Possible Values of Magnetic Quantum Number (\( m_l \))**: This describes the orientation of the orbital in space and can take integer values from \(-l\) to \(+l\). - **Rows:** - **\( n = 1 \)** - Values for \( l \) and \( m_l \) are to be determined. - **\( n = 2 \)** - Values for \( l \) and \( m_l \) are to be determined. - **\( n = 3 \)** - Values for \( l \) and \( m_l \) are to be determined. **Educational Context:** This table serves as an educational tool to help students understand how quantum numbers determine the quantum state of electrons in atoms. By filling in the cells, students can visualize the relationships and possible combinations of quantum numbers.
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