My name is Alexander FufaeV and here I will explain the following topic:

# The Electron Shell Model: Distribution of Electrons Inside Atoms Explained

Explanation

## Video

This lesson is also available as a YouTube video: The shell model of the electron shell explained simply

In atomic physics, the Electron Shell Model describes the distribution of electrons on the »energy shells« of an atom in the periodic table of elements. For example, it can be used to understand the electron distribution of an oxygen atom. We can see from the periodic table that an oxygen atom has 8 electrons. But how are they distributed in the atom? The shell model answers this question.

Each shell represents a certain energy. The electrons can occupy these shells and thus take on this energy. Each shell can only hold a certain number of electrons. The electrons on the outermost shell of an atom are known as valence electrons and they play a crucial role in chemical reactions.

The shells are labeled with letters:

• The innermost (first) shell is called the K shell. It can hold a maximum of 2 electrons. Then it is completely filled.

• The second shell is called the L-shell. It can hold a maximum of 8 electrons.

• The third shell is called the M shell. It can hold a maximum of 18 electrons.

• The fourth shell is called the N-shell. It can hold a maximum of 32 electrons.

How do I know the maximum number of electrons a shell can hold? There is a formula for this. Let's denote $$n_{\text{max}}$$ as the maximum number of electrons that a shell can hold. You can then calculate this number using the following formula:

Formula anchor

Here $$n$$ is the shell number. For the first shell, the K shell, $$n = 1$$ applies. For the second shell, the L-shell, $$n = 2$$ applies. For the third shell, the M shell, $$n = 3$$ applies. And so on.

## Filling the electron shells of different atoms

If you look at the periodic table, you can read the number of electrons from the atomic number in the corner. The hydrogen atom has an atomic number of 1, which means it only has one electron. We start with the innermost shell, the K shell, and add an electron to it. As the hydrogen atom has no other electrons, it only has a half-filled K-shell.

The lithium atom has the atomic number 3, which means it has 3 electrons. We start with the K shell. The K-shell can hold two electrons, so we fill it with two electrons. The third electron is placed on the next shell, the L shell.

Table : Electron shell of a lithium atom
Shell Number of electrons
K Shell 2
L Shell 1

The oxygen atom has 8 electrons. Two are on the K shell. The L shell can hold a maximum of 8 electrons, so the remaining 6 electrons are placed on it.

Table : Electron shell of an oxygen atom
Shell Number of electrons
K Shell 2
L Shell 6

The Aluminum atom has 13 electrons. 2 electrons are added to the K-shell. 8 electrons are added to the L-shell, then the K-shell is full. The remaining 3 electrons are added to the M shell.

Table : Electron shell of an aliminium atom
Shell Number of electrons
K Shell 2
L Shell 8
M Shell 3