Which of the following arrangements of electron is mostly likely to the stable ?

Options

A.
B.
C.
D.

Answer

To determine which arrangement of electrons is most likely to be stable, we need to analyze the stability based on the energy of the electrons and the principles governing electron configurations. Here’s a step-by-step solution:

### Step 1: Understand Electron Stability
- Stability of electron arrangements is related to the energy levels of the electrons. Lower energy configurations are generally more stable.

### Step 2: Analyze Electron Repulsion
- High electron repulsion leads to higher energy and thus lower stability. Therefore, configurations that minimize repulsion will be more stable.

### Step 3: Evaluate the Given Options
1. **Option 1**: Electrons with the same spin and symmetrically arranged.
- This arrangement has high energy due to the same spin electrons being in close proximity, leading to increased repulsion. Thus, this option is likely unstable.

2. **Option 2**: 3d^6 and 4s^1.
- This violates the Aufbau principle, which states that electrons fill lower energy orbitals before higher ones. Therefore, this arrangement is not valid and is unstable.

3. **Option 3**: 3d^6 with different spins.
- While this arrangement has different spins, it still does not minimize repulsion effectively. The presence of same spin electrons in the 4s orbital can lead to instability. Thus, this option is also not the most stable.

4. **Option 4**: Two electrons with the same spin in the same orbital.
- According to Pauli's Exclusion Principle, no two electrons can have the same spin in the same orbital. This arrangement is not valid and therefore unstable.

### Step 4: Identify the Most Stable Arrangement
- After evaluating all options, it appears that none of the arrangements provided are stable. However, if we assume the question intended to provide a valid arrangement, the one that minimizes electron repulsion and adheres to the principles of electron configuration would be the most stable.

### Conclusion
- Based on the analysis, the arrangement that would be the most stable is one that adheres to the Aufbau principle, minimizes electron repulsion, and follows Pauli's Exclusion Principle. If we had to select from the options given, we would conclude that none are stable, but the arrangement that follows the rules best would be the most stable.