# How to Write the Orbital Diagram for Cerium (Ce)?

The cerium orbital diagram is a graphical representation of the electron configuration of the cerium atom.

This diagram shows how the electrons in the cerium atom are arranged in different orbitals.

Orbital is the region of space around the nucleus of an atom where electrons are found.

To create an orbital diagram of cerium, you first need to know the atomic orbitals and the orbital notation for the cerium atom, and also you need to know Hund’s principle.

## What is orbital?

The electrons of the atom revolve around the nucleus in a certain circular path. These circular paths are called orbit (shell). Again, atomic energy shells are subdivided into sub-energy levels. These sub-energy levels are also called orbital.

The most probable region of electron rotation around the nucleus is called the orbital. The sub-energy levels depend on the azimuthal quantum number. It is expressed by ‘l’.

Orbit Number | Value of ‘l’ | Number of subshells | Number of orbital | Subshell name | Electrons holding capacity | Electron Configuration |

1 | 0 | 1 | 1 | 1s | 2 | 1s^{2} |

2 | 0 1 | 2 | 1 3 | 2s 2p | 2 6 | 2s^{2} 2p^{6} |

3 | 0 1 2 | 3 | 1 3 5 | 3s 3p 3d | 2 6 10 | 3s^{2} 3p^{6} 3d^{10} |

4 | 0 1 2 3 | 4 | 1 3 5 7 | 4s 4p 4d 4f | 2 6 10 14 | 4s^{2} 4p^{6} 4d^{10} 4f^{14} |

The value of ‘l’ is from 0 to (n – 1). The sub-energy levels are known as s, p, d, and f.

The orbital number of the s-subshell is one, three in the p-subshell, five in the d-subshell, and seven in the f-subshell. Each orbital can have a maximum of two electrons.

Sub-shell name | Name source | Value of ‘l’ | Value of ‘m’(0 to ± l) | Number of orbital (2l+1) | Electrons holding capacity2(2l+1) |

s | Sharp | 0 | 0 | 1 | 2 |

p | Principal | 1 | −1, 0, +1 | 3 | 6 |

d | Diffuse | 2 | −2, −1, 0, +1, +2 | 5 | 10 |

f | Fundamental | 3 | −3, −2, −1, 0, +1, +2, +3 | 7 | 14 |

The sub-energy level ‘s’ can hold a maximum of two electrons, ‘p’ can hold a maximum of six electrons, ‘d’ can hold a maximum of ten electrons, and ‘f’ can hold a maximum of fourteen electrons.

## What is the orbital notation for cerium?

The cerium orbital notation is a shorthand system designed to represent the exact positions of the electrons in the cerium atom. This is similar to electron configuration, but numbers are used instead of boxes to represent the positions of the electrons.

This orbital notation system always follows the Aufbau principle. The Aufbau principle is that the electrons present in the atom will first complete the lowest energy orbital and then gradually continue to complete the higher energy orbital.

The atomic number of cerium is 58, which means it has 58 electrons. Now it is possible to find the orbital notation of cerium very easily through electron configuration. That is, the orbital notation of cerium is 1s^{2} 2s^{2} 2p^{6} 3s^{2} 3p^{6} 4s^{2} 3d^{10} 4p^{6} 5s^{2} 4d^{10} 5p^{6} 6s^{2} 4f^{1} 5d^{1}.

## What is Hund’s principle?

Hund’s principle is a rule that helps to determine how electrons are distributed in orbitals when multiple orbitals of the same energy level are available.

Hund’s principle is that electrons in different orbitals with the same energy would be positioned in such a way that they could be in the unpaired state of maximum number and the spin of the unpaired electrons will be one-way.

For example, we already know that the p-subshell has three orbitals. The orbitals are p_{x}, p_{y}, and p_{z} and each orbital can have a maximum of two electrons.

When electrons want to enter the p-subshell, then the first electron will enter the p_{x} orbital in the clockwise direction.

The second electron will also enter the p_{y} orbital in the clockwise direction and the third electron will also enter the p_{z} orbital in the clockwise direction.

Now, when the fourth electron wants to enter the p-subshell, then it will enter the p_{x} orbital in the anti-clockwise direction.

The fifth electron will also enter the p_{y} orbital in the anti-clockwise direction and the sixth electron will also enter the p_{z} orbital in the anti-clockwise direction.

Here, the clockwise direction is expressed by the upper sign (↑) and the anti-clockwise direction by the lower sign (↓). Basically, these two symbols (↑↓) indicate the direction of electron spin.

## How to write the orbital diagram for cerium?

Orbital diagrams are usually represented by boxes. Each box represents an orbital and the arrows within the box represent the position of the electron. The boxes are arranged in order of energy of the orbitals.

The lowest energy orbitals are closest to the nucleus and the higher energy orbitals are progressively further away from the nucleus in order of their energy levels.

To write the orbital diagram of cerium, you have to write the orbital notation of cerium. Which has been discussed in detail above.

1s is the closest and lowest energy orbital to the nucleus. Therefore, the electrons will first enter the 1s orbital.

According to Hund’s principle, the first electron will enter 1s orbital in the clockwise direction and the next electron will enter the 1s orbital in the anti-clockwise direction.

The 1s orbital is now filled with two electrons. The next two electrons will enter the 2s orbital just like the 1s orbital.

The next three electrons will enter the 2p orbital in the clockwise direction and the next three electrons will enter the 2p orbital in the anti-clockwise direction.

The 2p orbital is now full. Then the next two electrons will enter the 3s orbital just like the 1s orbital. Then the next three electrons will enter the 3p orbital in the clockwise direction and the next three electrons will enter the 3p orbital in the anti-clockwise direction.

The 3p orbital is now full. So, the next two electrons will enter the 4s orbital just like the 1s orbital. The 4s orbital is now full. Therefore, the next five electrons will enter the 3d orbital in the clockwise direction and the next five electrons will enter the 3d orbital in the anti-clockwise direction.

The 3d orbital is now full. So, the next six electrons will enter the 4p orbital just like the 3p orbital. Then the next two electrons will enter the 5s orbital just like the 1s orbital. Then the next ten electrons enter the 4d orbital just like the 3d orbital.

The 4d orbital is now full of electrons. Then the next eight electrons will enter the 5p and 6s orbital just like the 2p and 1s orbital. The 6s orbital is now full of electrons.

So next an electron will enter the 4f orbital in the clockwise direction and the remaining one electron will enter the 4d orbital also in the clockwise direction. This is clearly shown in the figure of the orbital diagram of cerium.