Electronic configurations related to Praseodymium, Neodymium & Promethium are respectively -

Options

A. `4f^(3)6s^(2),4f^(4)6s^(2)&4f^(6)6s^(2)`
B. `4f^(7)6s^(2),4f^(13)6s^(2)&4f^(6)6s^(2)`
C. `4f^(3)6s^(2),4f^(4)6s^(2)&4f^(5)6s^(2)`
D. `4f^(14)5d^(1)6s^(2),4f^(14)6s^(2)&4f^(6)6s^(2)`

Answer

To determine the electronic configurations of Praseodymium (Pr), Neodymium (Nd), and Promethium (Pm), we will follow these steps:

### Step 1: Identify the Atomic Numbers
- **Praseodymium (Pr)** has an atomic number of **59**.
- **Neodymium (Nd)** has an atomic number of **60**.
- **Promethium (Pm)** has an atomic number of **61**.

### Step 2: Understand the General Electronic Configuration for Lanthanides
The general electronic configuration for lanthanides can be expressed as:
\[ \text{[Xe]} \, 4f^{n} \, 5d^{0} \, 6s^{2} \]
where \( n \) varies depending on the element.

### Step 3: Write the Electronic Configurations
- For **Praseodymium (Pr)**:
- The configuration will be:
\[ \text{[Xe]} \, 4f^{3} \, 5d^{0} \, 6s^{2} \]

- For **Neodymium (Nd)**:
- The configuration will be:
\[ \text{[Xe]} \, 4f^{4} \, 5d^{0} \, 6s^{2} \]

- For **Promethium (Pm)**:
- The configuration will be:
\[ \text{[Xe]} \, 4f^{5} \, 5d^{0} \, 6s^{2} \]

### Step 4: Summarize the Configurations
Thus, the electronic configurations for Praseodymium, Neodymium, and Promethium are:
- **Praseodymium (Pr)**: \[ \text{[Xe]} \, 4f^{3} \, 5d^{0} \, 6s^{2} \]
- **Neodymium (Nd)**: \[ \text{[Xe]} \, 4f^{4} \, 5d^{0} \, 6s^{2} \]
- **Promethium (Pm)**: \[ \text{[Xe]} \, 4f^{5} \, 5d^{0} \, 6s^{2} \]

### Final Answer
The electronic configurations related to Praseodymium, Neodymium, and Promethium are respectively:
1. Pr: \[ \text{[Xe]} \, 4f^{3} \, 5d^{0} \, 6s^{2} \]
2. Nd: \[ \text{[Xe]} \, 4f^{4} \, 5d^{0} \, 6s^{2} \]
3. Pm: \[ \text{[Xe]} \, 4f^{5} \, 5d^{0} \, 6s^{2} \]