Grade 11 → Structure of the atom ↓
Aufbau principle
The Aufbau principle, derived from the German word "aufbauen" meaning "to build up", is a fundamental concept in chemistry that describes the order in which electrons occupy the orbitals of an atom. The Aufbau principle helps us understand and predict the electronic structure of atoms, which enables us to describe the chemical behavior and properties of elements.
Basic concepts of the Aufbau principle
The Aufbau principle is based on the idea of building up the electron configuration of an atom from the lowest energy level to the highest. According to this principle, electrons are added to the lowest energy orbitals available. As we move from lower atomic numbers to higher atomic numbers, electrons fill the subshells in a predictable order. Let's start with the essential rules that guide the Aufbau process:
- Pauli Exclusion Principle: No two electrons in an atom can have the same set of four quantum numbers. This means that an orbital can hold a maximum of two electrons with opposite spins.
- Hund's rule: Electrons will remain alone in degenerate orbitals before forming pairs. This reduces electron repulsion and keeps the atom stable.
- Order of filling subshells: Electrons fill orbitals in order of increasing energy, often represented by an Aufbau diagram.
Sequence of filling the sub-shell
The order in which electrons fill the subshells can be determined using the n + l rule (also called Madelung rule). The rule states:
- The sub-shells are filled in increasing order of
n + l
value. - If two sub-shells have the same
n + l
values, then the sub-shell with the lowern
value will be filled first.
Here, n
is the principal quantum number and l
is the azimuthal quantum number. Consider the following chart which shows the order in which the orbitals are filled:
1s < 2s < 2p < 3s < 3p < 4s < 3d < 4p < 5s < 4d < 5p < 6s < 4f < 5d < 6p < 7s < 5f < 6d < 7p
Use of the Aufbau principle
Let's apply the Aufbau principle to write the electron configuration of the elements. We will consider simple examples using hydrogen, helium, lithium and others.
Hydrogen has one electron.
1s 1
The single electron is located in the 1s orbital, which is the lowest energy.
Helium has two electrons.
1 to 2
Both electrons occupy the 1s orbital and fill it completely.
Lithium has three electrons.
1s 2 2s 1
The first two electrons fill the 1s orbital, and the third electron enters the 2s orbital.
Continue this process for more complex atoms, such as carbon, nitrogen, or oxygen:
Carbon has six electrons.
1s 2 2s 2 2p 2
Electrons fill the orbitals in order of increasing energy. The 2p orbital begins to fill after the 2s orbital.
Oxygen has eight electrons.
1s 2 2s 2 2p 4
Even though there are four electrons in the 2p orbital, the 2p subshell is still not completely filled.
Exceptions to the Aufbau principle
While the Aufbau principle provides a useful framework for constructing electron configurations, it is important to note some exceptions, particularly those relating to the transition metals and heavier elements. For example:
Copper has 29 electrons.
[Ar] 3d 10 4s 1
Instead of 4s 2 3d 9
configuration, copper completely fills the 3d sub-shell before the 4s.
Chromium has 24 electrons.
[Ar] 3d 5 4s 1
The semi-filled 3D sub-shell provides additional stability, resulting in this unusual configuration.
Such anomalies arise due to the subtle balance between exchange energy, electron-electron repulsion, and other quantum effects. While the Aufbau principle serves as a reliable guideline, these exceptions are important for understanding the chemistry of some elements.
Importance of the Aufbau principle
The Aufbau principle is essential in chemistry for several reasons:
- Predicting chemical properties: Understanding electron configuration helps chemists predict the chemical behavior of elements and their possible reactions.
- Formation of chemical bonds: The electrons in the outermost shell, or valence electrons, are involved in chemical bonding. The Aufbau principle helps to identify these electrons.
- The position of the elements in the periodic table and their properties can often be explained through their electron configuration.
Visualizing the Aufbau principle
Consider an analogy to understand the Aufbau principle. Think of electrons as filling seats in a theater, where certain seats are preferred because of better view or comfort (lower energy). Electrons naturally fill the best available seats first and then move to less favorable seats. This is similar to the way they fill orbitals, following the rules of the principle.
Conclusion
The Aufbau principle is the cornerstone of electronic structure theory in chemistry. Although it simplifies the complex interactions within the atom, it provides a practical approach to arranging electrons in atoms. With exceptions noted in specific elements, the theory provides insight into electron configurations, helping us gain a deeper understanding of chemical properties, bonding behavior, and trends observed in the periodic table.