why are electron groups that repel each other higher in energy?

The energy of electron groups that repel each other is higher due to the principle of electrostatic repulsion. This principle originates from the fact that like charges repel each other. In the case of electron groups, which consist of electrons, the negative charges repel each other and lead to higher energy levels.

To understand why this occurs, we can consider the concept of electron configuration. Electrons are organized around an atomic nucleus in different energy levels, or shells. These shells are further divided into subshells, which can accommodate a specific number of electrons.

The Pauli exclusion principle states that no two electrons in an atom can have the same set of quantum numbers. This means that each electron within an electron group occupying the same subshell must have a unique set of quantum numbers (principal, azimuthal, magnetic, and spin quantum numbers).

When electron groups are positioned close to each other, such as in the same subshell or in neighboring subshells, their electron clouds start to overlap. As a result, the negatively charged electron clouds repel each other, since they possess the same charge. This repulsion force leads to a higher energy state for the electron groups.

In contrast, electron groups or subshells that are more separated experience less repulsion and therefore have lower energy levels. The energy levels of the electron groups determine the stability and reactivity of atoms and molecules. Therefore, electron groups that are higher in energy are generally more reactive and prone to undergoing chemical reactions.

To summarize, electron groups that repel each other are higher in energy due to the electrostatic repulsion between their negatively charged electron clouds. This repulsion arises from the Pauli exclusion principle, which prevents electrons from having identical quantum numbers.