Identify the sets of quantum numbers that describe all the electrons in the ground state of a neutral beryllium atom, Be. Each set is ordered (n, l, m, ms). 8 Drag the appropriate items to their respective bins. View Available Hint(s) 2,1,-1,1/2 2,1,0,1/2 2,1,-1,-1/2 1,0,0,1/2 Electrons in Be 1,0,0,-1/2 2,1,0,-1/2 2,0,0,-1/2 Electrons not in Be Reset Help 2,0,0,1/2

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**Quantum Numbers and Their Validity**

In atomic physics, every electron in an atom is described by a unique set of four quantum numbers: \( n, \, \ell, \, m_{\ell}, \, \text{and} \, m_s \).

1. **Principal Quantum Number (\(n\))**: Identifies the shell in which the electron is found.
2. **Angular Momentum Quantum Number (\(\ell\))**: Indicates the kind of subshell.
3. **Magnetic Quantum Number (\(m_{\ell}\))**: Distinguishes the orbitals within a subshell.
4. **Spin Quantum Number (\(m_s\))**: Specifies the electron spin.

**Part A:**
Identify which sets of quantum numbers are valid for an electron. Each set is ordered \((n, \, \ell, \, m_{\ell}, \, m_s)\).

Select all valid sets from the following options:

- [ ] \(3, 2, 1, 1\)
- [ ] \(2, 2, 1, 1/2\)
- [ ] \(1, 0, 0, 1/2\)
- [ ] \(4, 3, -5, -1/2\)
- [ ] \(0, 1, 1, -1/2\)
- [ ] \(2, 1, -1, 1/2\)
- [ ] \(3, 3, 2, -1/2\)
- [ ] \(1, 3, 0, 1/2\)
- [ ] \(3, 2, -1/2\)
- [ ] \(1, -1, -1, 1/2\)
- [x] \(2, 1, -1, -1/2\)
- [ ] \(4, 3, 3, -1/2\)

Use the available hints and quantum number rules to determine the validity of each set.
Transcribed Image Text:**Quantum Numbers and Their Validity** In atomic physics, every electron in an atom is described by a unique set of four quantum numbers: \( n, \, \ell, \, m_{\ell}, \, \text{and} \, m_s \). 1. **Principal Quantum Number (\(n\))**: Identifies the shell in which the electron is found. 2. **Angular Momentum Quantum Number (\(\ell\))**: Indicates the kind of subshell. 3. **Magnetic Quantum Number (\(m_{\ell}\))**: Distinguishes the orbitals within a subshell. 4. **Spin Quantum Number (\(m_s\))**: Specifies the electron spin. **Part A:** Identify which sets of quantum numbers are valid for an electron. Each set is ordered \((n, \, \ell, \, m_{\ell}, \, m_s)\). Select all valid sets from the following options: - [ ] \(3, 2, 1, 1\) - [ ] \(2, 2, 1, 1/2\) - [ ] \(1, 0, 0, 1/2\) - [ ] \(4, 3, -5, -1/2\) - [ ] \(0, 1, 1, -1/2\) - [ ] \(2, 1, -1, 1/2\) - [ ] \(3, 3, 2, -1/2\) - [ ] \(1, 3, 0, 1/2\) - [ ] \(3, 2, -1/2\) - [ ] \(1, -1, -1, 1/2\) - [x] \(2, 1, -1, -1/2\) - [ ] \(4, 3, 3, -1/2\) Use the available hints and quantum number rules to determine the validity of each set.
**Quantum Numbers and Electron Configuration for Beryllium**

**Objective:**  
Identify the sets of quantum numbers that describe all the electrons in the ground state of a neutral beryllium atom (Be). Each set is ordered as \((n, l, m_l, m_s)\).

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

**Options:**  
- (2, 1, -1, 1/2)
- (2, 1, 0, 1/2)
- (2, 1, -1, -1/2)
- (1, 0, 0, 1/2)
- (1, 0, 0, -1/2)
- (2, 0, 0, -1/2)
- (2, 0, 0, 1/2)
- (2, 1, 0, -1/2)

**Bins:**

- **Electrons in Be:**
  - Position quantum sets here to represent the correct electrons for beryllium.

- **Electrons not in Be:**
  - Place the quantum sets here if they do not correspond to beryllium electrons.

**Interface:**  

The interface includes two sections labeled "Electrons in Be" and "Electrons not in Be" for sorting the quantum number sets based on which electrons they represent.

This exercise helps understand electron configurations and the application of quantum numbers in atom chemistry.
Transcribed Image Text:**Quantum Numbers and Electron Configuration for Beryllium** **Objective:** Identify the sets of quantum numbers that describe all the electrons in the ground state of a neutral beryllium atom (Be). Each set is ordered as \((n, l, m_l, m_s)\). **Instructions:** Drag the appropriate items to their respective bins. **Options:** - (2, 1, -1, 1/2) - (2, 1, 0, 1/2) - (2, 1, -1, -1/2) - (1, 0, 0, 1/2) - (1, 0, 0, -1/2) - (2, 0, 0, -1/2) - (2, 0, 0, 1/2) - (2, 1, 0, -1/2) **Bins:** - **Electrons in Be:** - Position quantum sets here to represent the correct electrons for beryllium. - **Electrons not in Be:** - Place the quantum sets here if they do not correspond to beryllium electrons. **Interface:** The interface includes two sections labeled "Electrons in Be" and "Electrons not in Be" for sorting the quantum number sets based on which electrons they represent. This exercise helps understand electron configurations and the application of quantum numbers in atom chemistry.
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