The following sets of quantum numbers, listed in the order n, l, me, and ms, were written for the last electrons added to an atom. Identify which sets are valid and classify the others by the rule or principle that is violated. Drag the appropriate items to their respective bins. View Available Hint(s) Pauli violation 400 400 +1 -21 4 1 4 1 0 4 1 +1 Other violation 4 2 42 0 4 2 +1 4 2 0 4 2 +2 12 12 12 ساده ساده برای مواد مراد 31 3 1 0 3 4 +1 Valid |21|21|e Reset Help

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The image presents a task involving the classification of quantum numbers in terms of validity based on various quantum mechanical principles. The quantum numbers are listed in the order \( n, \, \ell, \, m_\ell, \, \text{and} \, m_s \), and they correspond to the last electrons added to an atom. 

There are four sets of quantum numbers to be classified:

1. **First Set:**
   - \( 4, 0, 0, +\frac{1}{2} \)
   - \( 4, 0, 0, -\frac{1}{2} \)

2. **Second Set:**
   - \( 4, 1, -1, +\frac{1}{2} \)
   - \( 4, 1, 0, +\frac{1}{2} \)
   - \( 4, 1, +1, +\frac{1}{2} \)

3. **Third Set:**
   - \( 4, 2, -1, +\frac{1}{2} \)
   - \( 4, 2, 0, +\frac{1}{2} \)
   - \( 4, 2, +1, +\frac{1}{2} \)
   - \( 4, 2, +2, +\frac{1}{2} \)

4. **Fourth Set:**
   - \( 3, 1, -1, +\frac{1}{2} \)
   - \( 3, 1, 0, +\frac{1}{2} \)
   - \( 3, 4, +1, +\frac{1}{2} \)

Underneath these sets, there are three categories to sort them into: **Pauli violation**, **Other violation**, and **Valid**.

The task requires sorting each set based on whether they adhere to or violate principles such as the Pauli Exclusion Principle, which states that no two electrons in an atom can have identical values for all four quantum numbers, among other possible rules. The goal is to correctly identify sets that are valid and those that violate any rules.
Transcribed Image Text:The image presents a task involving the classification of quantum numbers in terms of validity based on various quantum mechanical principles. The quantum numbers are listed in the order \( n, \, \ell, \, m_\ell, \, \text{and} \, m_s \), and they correspond to the last electrons added to an atom. There are four sets of quantum numbers to be classified: 1. **First Set:** - \( 4, 0, 0, +\frac{1}{2} \) - \( 4, 0, 0, -\frac{1}{2} \) 2. **Second Set:** - \( 4, 1, -1, +\frac{1}{2} \) - \( 4, 1, 0, +\frac{1}{2} \) - \( 4, 1, +1, +\frac{1}{2} \) 3. **Third Set:** - \( 4, 2, -1, +\frac{1}{2} \) - \( 4, 2, 0, +\frac{1}{2} \) - \( 4, 2, +1, +\frac{1}{2} \) - \( 4, 2, +2, +\frac{1}{2} \) 4. **Fourth Set:** - \( 3, 1, -1, +\frac{1}{2} \) - \( 3, 1, 0, +\frac{1}{2} \) - \( 3, 4, +1, +\frac{1}{2} \) Underneath these sets, there are three categories to sort them into: **Pauli violation**, **Other violation**, and **Valid**. The task requires sorting each set based on whether they adhere to or violate principles such as the Pauli Exclusion Principle, which states that no two electrons in an atom can have identical values for all four quantum numbers, among other possible rules. The goal is to correctly identify sets that are valid and those that violate any rules.
**Classify each orbital diagram for ground-state electron configurations by the rule or principle it violates.**

**Instructions:**
- Drag the appropriate items to their respective bins.

**Available Classifying Bins:**
1. Aufbau violation
2. Hund violation
3. Pauli violation

**Orbital Diagrams:**

1. First Diagram:
   - **Notations:**
     - 2s: ↑↓
     - 2p: ↑ ↑ ↑

2. Second Diagram:
   - **Notations:**
     - 2s: ↑
     - 2p: ↑ ↑ ↑

3. Third Diagram:
   - **Notations:**
     - 2s: ↑↓
     - 2p: ↑ ↑

4. Fourth Diagram:
   - **Notations:**
     - 3d: ↑
     - 4p: ↑↓ ↑↓ ↑↓

5. Fifth Diagram:
   - **Notations:**
     - 4s: ↑
     - 3d: ↑↓ ↑↓ ↑↓

**Hint:**
- Click "View Available Hint(s)" for assistance.

**Buttons:**
- **Reset**: Clears the selections.
- **Help**: Provides additional help or instructions.
Transcribed Image Text:**Classify each orbital diagram for ground-state electron configurations by the rule or principle it violates.** **Instructions:** - Drag the appropriate items to their respective bins. **Available Classifying Bins:** 1. Aufbau violation 2. Hund violation 3. Pauli violation **Orbital Diagrams:** 1. First Diagram: - **Notations:** - 2s: ↑↓ - 2p: ↑ ↑ ↑ 2. Second Diagram: - **Notations:** - 2s: ↑ - 2p: ↑ ↑ ↑ 3. Third Diagram: - **Notations:** - 2s: ↑↓ - 2p: ↑ ↑ 4. Fourth Diagram: - **Notations:** - 3d: ↑ - 4p: ↑↓ ↑↓ ↑↓ 5. Fifth Diagram: - **Notations:** - 4s: ↑ - 3d: ↑↓ ↑↓ ↑↓ **Hint:** - Click "View Available Hint(s)" for assistance. **Buttons:** - **Reset**: Clears the selections. - **Help**: Provides additional help or instructions.
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