The energy change involved in the formation of an ionic bond from its constituent elements can be represented by: Born-Haber cycle.

Explanation:
The formation of an ionic bond involves the transfer of one or more electrons from one atom to another, resulting in the formation of ions with opposite charges. This process is accompanied by an energy change, which can be represented by the Born-Haber cycle.

Born-Haber Cycle:
The Born-Haber cycle is a series of hypothetical steps that represent the formation of an ionic compound from its constituent elements. It provides a way to calculate the lattice energy, which is the energy released when gaseous ions come together to form a solid lattice.

Key Steps in the Born-Haber Cycle:
1. Formation of gaseous atoms: The first step in the cycle is the formation of gaseous atoms from their standard states. This requires energy input, known as the sublimation energy, to overcome the forces holding the atoms in a solid lattice.

2. Ionization: The next step involves the removal of electrons from the gaseous atoms to form positive ions. This process requires energy input and is known as ionization energy.

3. Electron affinity: In this step, the gaseous atoms gain electrons to form negative ions. This process releases energy and is known as electron affinity.

4. Formation of gaseous ions: The positively and negatively charged ions combine to form gaseous ions. This step is accompanied by an energy change known as the lattice energy.

5. Formation of solid lattice: The gaseous ions come together to form a solid lattice, releasing energy. This step is also referred to as the lattice energy.

Calculation of Lattice Energy:
The lattice energy can be calculated by summing up the energy changes involved in the steps of the Born-Haber cycle. It is a measure of the strength of the ionic bond and is influenced by factors such as the charges of the ions, the distance between them, and the ionic radii.

Conclusion:
In summary, the energy change involved in the formation of an ionic bond from its constituent elements can be represented by the Born-Haber cycle. This cycle allows us to calculate the lattice energy, which is an important parameter in understanding the stability and properties of ionic compounds.