How to Write an Electron Configuration

Electron configuration is a symbolic notation showing how electrons are arranged around the nucleus of an atom. This notation provides a concise summary of the distribution of electrons among the various energy levels and sublevels. Understanding this arrangement is fundamental because the location of these electrons, particularly those in the outermost shell, dictates an atom’s chemical behavior and overall reactivity. The configuration is written by listing the energy level, the type of orbital, and the number of electrons in that orbital as a superscript, such as \(1s^2\).

The Fundamental Rules Governing Electron Placement

The arrangement of electrons within an atom is governed by three fundamental principles derived from quantum mechanics. The Aufbau principle dictates that electrons will always occupy the lowest energy orbitals available first before moving to higher energy ones. This ensures the atom is in its most stable, ground state configuration.

The Pauli Exclusion Principle limits the population of any single orbital to a maximum of two electrons. These two electrons must have opposite spins, preventing them from having the exact same quantum state.

Hund’s Rule addresses how electrons fill degenerate orbitals, such as the three \(p\) orbitals, which have the same energy. This rule states that electrons will spread out to occupy each degenerate orbital singly before any orbital starts to double up its electrons. Placing electrons in separate orbitals first minimizes electron-electron repulsion and leads to a more stable arrangement.

Step-by-Step Guide to Writing Standard Configuration

Writing a standard electron configuration begins with determining the total number of electrons in the neutral atom, which equals its atomic number. For example, Chlorine (Cl) has an atomic number of 17, meaning it contains 17 electrons. The next step involves following the established order of orbital filling: \(1s\), \(2s\), \(2p\), \(3s\), \(3p\), \(4s\), \(3d\), and so on.

Each sublevel type has a maximum capacity for electrons: \(s\) holds 2, \(p\) holds 6, \(d\) holds 10, and \(f\) holds 14. As you move through the filling order, assign electrons to each sublevel until the total count is reached, writing the number of electrons as a superscript. For Chlorine, the first 10 electrons fill \(1s^2\), \(2s^2\), and \(2p^6\).

The remaining 7 electrons are placed into the next available sublevels. The \(3s\) sublevel is filled next with 2 electrons (\(3s^2\)), bringing the total to 12. The final 5 electrons are placed into the \(3p\) sublevel, resulting in \(3p^5\). The complete configuration for Chlorine is \(1s^2 2s^2 2p^6 3s^2 3p^5\).

Mastering Shorthand (Noble Gas) Notation

For elements with many electrons, the full configuration becomes lengthy, making shorthand notation efficient. Noble Gas notation simplifies the configuration by representing the core electrons—those not involved in bonding—with the symbol of the preceding noble gas. Noble gases have completely filled electron shells, providing a stable starting point for abbreviation.

To use this method, identify the noble gas that immediately precedes the element on the periodic table. For Chlorine (17 electrons), the preceding noble gas is Neon (Ne), which accounts for the \(1s^2 2s^2 2p^6\) sequence. This core sequence is replaced with the noble gas’s symbol enclosed in brackets, \([\text{Ne}]\).

The notation is completed by writing the configuration for the remaining valence electrons. For Chlorine, the full configuration \(1s^2 2s^2 2p^6 3s^2 3p^5\) is shortened by replacing the first 10 electrons with \([\text{Ne}]\). The resulting shorthand notation is \([\text{Ne}] 3s^2 3p^5\).

Common Exceptions to the Filling Rules

Although the Aufbau principle provides a reliable framework, certain elements, particularly transition metals, exhibit exceptions to the predicted filling order. These deviations occur because atoms gain stability by having either a half-filled or a completely filled \(d\) or \(f\) sublevel. This increased stability is sufficient to override the simple energy-level guidelines.

A notable example is Chromium (Cr), which has 24 electrons and is expected to be \([\text{Ar}] 4s^2 3d^4\). To achieve a more stable, half-filled \(3d\) sublevel, one electron moves from the \(4s\) orbital to the \(3d\) orbital. This results in the actual configuration of \([\text{Ar}] 4s^1 3d^5\).

Similarly, Copper (Cu), with 29 electrons, is expected to be \([\text{Ar}] 4s^2 3d^9\). Here, an electron shifts from the \(4s\) to the \(3d\) orbital to create a completely filled \(3d^{10}\) sublevel. The observed configuration for Copper is \([\text{Ar}] 4s^1 3d^{10}\), demonstrating the atom’s preference for these symmetrical arrangements.