The maximum number of electrons that can be accomoddated in `d_(x^(2)-y^(2))` orbital is

Options

A. (a) 10
B. (b) 5
C. (c) 2
D. (d) 1

Answer

To determine the maximum number of electrons that can be accommodated in the \( d_{x^2-y^2} \) orbital, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Nature of Orbitals**:
- Orbitals are regions in an atom where electrons are likely to be found. Each orbital can hold a specific number of electrons.

2. **Identify the Maximum Capacity of an Orbital**:
- The general rule is that each orbital can hold a maximum of 2 electrons. These electrons must have opposite spins (one spin-up and one spin-down).

3. **Focus on the \( d \) Orbitals**:
- The \( d \) subshell consists of five different orbitals: \( d_{xy}, d_{xz}, d_{yz}, d_{z^2}, \) and \( d_{x^2-y^2} \). Each of these orbitals can also hold a maximum of 2 electrons.

4. **Apply the Rule to the \( d_{x^2-y^2} \) Orbital**:
- Specifically for the \( d_{x^2-y^2} \) orbital, it can also hold 2 electrons, just like any other orbital.

5. **Conclusion**:
- Therefore, the maximum number of electrons that can be accommodated in the \( d_{x^2-y^2} \) orbital is 2.

### Final Answer:
The maximum number of electrons that can be accommodated in the \( d_{x^2-y^2} \) orbital is **2**.

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