Electronic configuration of multielectron atoms can be written by the use of four quantum numbers and also by following certain principles. Pauli's exclusio principle suggests that maximum capacity of an atomic orbital is two. Auf bau principle suggests that the lower energy orbitals are filled first and hence stability can be attained. Hunds rule of maximum multiplicity suggests that pairing occurs with one electron. The arrangement of electrons in the space around the nucleus can be understood only after writing the electronic configuration. Thus writing electronic configuration is more important in the structure of an atom.
Applying Hunds rule of maximum multiplicity, the maximum number of electrons that can posses spin quantum number +1/2 in 4p orbitals is

Options

A. 1
B. 3
C. 4
D. 6

Answer

To determine the maximum number of electrons that can possess a spin quantum number of +1/2 in the 4p orbitals, we can follow these steps:

### Step 1: Understand the 4p Orbital
The 4p subshell consists of three p orbitals: 4p_x, 4p_y, and 4p_z. Each of these orbitals can hold a maximum of 2 electrons, according to Pauli's exclusion principle.

### Step 2: Apply Pauli's Exclusion Principle
According to Pauli's exclusion principle, each orbital can hold a maximum of 2 electrons with opposite spins. Therefore, the three 4p orbitals can collectively hold a total of:
- 3 orbitals × 2 electrons/orbital = 6 electrons.

### Step 3: Apply Hund's Rule of Maximum Multiplicity
Hund's rule states that electrons will fill degenerate orbitals (orbitals of the same energy) singly first, before pairing up. This means that each of the three 4p orbitals will first get one electron with a spin of +1/2 before any pairing occurs.

### Step 4: Count the Electrons with Spin +1/2
Since there are three 4p orbitals, and each can hold one electron with a spin of +1/2, the maximum number of electrons that can have a spin quantum number of +1/2 in the 4p orbitals is:
- 3 electrons (one in each of the three orbitals).

### Conclusion
Thus, the maximum number of electrons that can possess a spin quantum number of +1/2 in the 4p orbitals is **3**.

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