Assume that the filling of orbitals must be sequential, -1 → 0 → 1 (corresponding to px → Py→ P2) What element (use the symbol only) have the four quantum number set for the last electron added? 1. (3,1,0,-1/2) = 2. (4,3,-2,+1/2) 3. (2,1,0,-1/2) What is the four quantum number set for the last electron added to the following elements: 4. Sn = (

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### Quantum Numbers and Electron Configuration

#### Sequential Filling of Orbitals
Assume that the filling of orbitals must be sequential, with the following transitions:
- -1 → 0 → 1 (corresponding to \( p_x \rightarrow p_y \rightarrow p_z \))

#### Identifying Elements from Quantum Numbers
Determine the element (using the symbol only) that has the following four quantum number set for the last electron added:
1. (3,1,0,-1/2) = _______
2. (4,3,-2,+1/2) = _______
3. (2,1,0,-1/2) = _______

#### Quantum Numbers for Specific Elements
Identify the four quantum numbers for the last electron added to the following elements:
4. Sn (__________, __________, __________, __________)
5. Cf (__________, __________, __________, __________)

#### Counting Electrons with Given Quantum Numbers
Determine the number of electrons which have the following quantum number sets:
6. (3,?,?-1/2) = _______
7. (?,0,0,?) = _______
8. (2,1,?,?) = _______
9. (?,1,-1,-1/2) = _______
10. (7,?,-1,-1/2) = _______

### Explanation of Quantum Numbers
Quantum numbers are used to describe the unique quantum state of an electron in an atom. They consist of:

- **Principal Quantum Number (n)**: Indicates the main energy level of the electron.
- **Azimuthal Quantum Number (l)**: Indicates the shape of the orbital. It ranges from 0 to n-1.
  - \( l = 0 \): s orbital
  - \( l = 1 \): p orbital
  - \( l = 2 \): d orbital
  - \( l = 3 \): f orbital
- **Magnetic Quantum Number (m_l)**: Indicates the orientation of the orbital. It ranges from -l to +l.
- **Spin Quantum Number (m_s)**: Indicates the spin of the electron. It can be +1/2 or -1/2.

Use this information to fill in the blanks with appropriate values or symbols.
Transcribed Image Text:### Quantum Numbers and Electron Configuration #### Sequential Filling of Orbitals Assume that the filling of orbitals must be sequential, with the following transitions: - -1 → 0 → 1 (corresponding to \( p_x \rightarrow p_y \rightarrow p_z \)) #### Identifying Elements from Quantum Numbers Determine the element (using the symbol only) that has the following four quantum number set for the last electron added: 1. (3,1,0,-1/2) = _______ 2. (4,3,-2,+1/2) = _______ 3. (2,1,0,-1/2) = _______ #### Quantum Numbers for Specific Elements Identify the four quantum numbers for the last electron added to the following elements: 4. Sn (__________, __________, __________, __________) 5. Cf (__________, __________, __________, __________) #### Counting Electrons with Given Quantum Numbers Determine the number of electrons which have the following quantum number sets: 6. (3,?,?-1/2) = _______ 7. (?,0,0,?) = _______ 8. (2,1,?,?) = _______ 9. (?,1,-1,-1/2) = _______ 10. (7,?,-1,-1/2) = _______ ### Explanation of Quantum Numbers Quantum numbers are used to describe the unique quantum state of an electron in an atom. They consist of: - **Principal Quantum Number (n)**: Indicates the main energy level of the electron. - **Azimuthal Quantum Number (l)**: Indicates the shape of the orbital. It ranges from 0 to n-1. - \( l = 0 \): s orbital - \( l = 1 \): p orbital - \( l = 2 \): d orbital - \( l = 3 \): f orbital - **Magnetic Quantum Number (m_l)**: Indicates the orientation of the orbital. It ranges from -l to +l. - **Spin Quantum Number (m_s)**: Indicates the spin of the electron. It can be +1/2 or -1/2. Use this information to fill in the blanks with appropriate values or symbols.
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