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Question

N atom has 3 unpaired electrons because of

The correct answer is

Hund’s rule

Understanding Nitrogen's Electron Configuration

The electron configuration of an atom describes how electrons are distributed in its atomic orbitals. This distribution follows specific rules and principles of quantum mechanics, which helps explain the chemical properties of elements. Let's look at Nitrogen (N), which has an atomic number of 7, meaning it has 7 electrons.

Electron Filling Principles

Electrons fill the orbitals according to several fundamental rules:

  • Aufbau Principle: Electrons occupy the lowest energy orbitals first. For Nitrogen, this means the $1s$ orbital is filled before the $2s$, and the $2s$ is filled before the $2p$.
  • Pauli's Exclusion Principle: An atomic orbital can hold a maximum of two electrons, and these two electrons must have opposite spins (one spin up, one spin down). This principle prevents more than two electrons from occupying the same orbital.
  • Hund's Rule of Maximum Multiplicity: For degenerate orbitals (orbitals within the same subshell having the same energy, like the three $2p$ orbitals), electrons first occupy each orbital singly with parallel spins before pairing up in any one orbital. This arrangement minimizes electron-electron repulsion and results in the most stable configuration.

Nitrogen's Electron Configuration and Unpaired Electrons

Nitrogen has 7 electrons. Applying the principles:

  • The first two electrons fill the $1s$ orbital ($1s^2$).
  • The next two electrons fill the $2s$ orbital ($2s^2$).
  • The remaining three electrons go into the $2p$ subshell, which consists of three degenerate orbitals ($2p_x, 2p_y, 2p_z$).

According to Hund's Rule, these three $2p$ electrons will occupy each of the three $2p$ orbitals singly before any pairing occurs. They will also have parallel spins. So, the configuration for the $2p$ subshell is $2p_x^1 2p_y^1 2p_z^1$, with each electron having the same spin direction.

The full electron configuration for Nitrogen is $1s^2 2s^2 2p^3$.

In the $2p$ subshell, there is one electron in each of the three $2p$ orbitals. Since none of these electrons are paired with another electron in the same orbital, Nitrogen has 3 unpaired electrons.

This specific arrangement of unpaired electrons in the $2p$ subshell is a direct consequence of Hund's rule, which dictates the filling order within degenerate orbitals. While the Aufbau principle determines the energy level order ($1s \rightarrow 2s \rightarrow 2p$), and Pauli's exclusion principle limits each orbital to two electrons with opposite spins, it is Hund's rule that explains why the three $2p$ electrons occupy the three separate $2p$ orbitals singly with parallel spins, leading to three unpaired electrons.

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Important Questions from Atomic Structure

  1. The correct statement(s) about $^4D_{5/2}$ state of an atom is (are):
  2. The value of the magnetic quantum number of a $p_x$ orbital is
  3. Which one among the following statements is not true for glass?

  4. The two isotopes of elemental chlorine are :
  5. The radius of an atomic nucleus is of the order of

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