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The filling of orbitals in an atom follows a specific pattern determined by the principles of quantum mechanics, particularly the Pauli exclusion principle and Hund's rule. These principles govern the distribution of electrons into different orbitals based on their energies and spin states.

The Pauli exclusion principle states that no two electrons in an atom can have the same set of quantum numbers. In other words, each electron within an atom must have a unique combination of energy level, orbital shape, orientation, and spin. This principle prevents the electrons from occupying the same space within an orbital and ensures the stability of the atom.

Hund's rule states that, when filling orbitals of the same energy level (degenerate orbitals), electrons will occupy separate orbitals with parallel spins before pairing up within the same orbital. This arrangement minimizes electron-electron repulsion and contributes to the overall stability of the atom.

By following these principles, the filling of orbitals occurs in a specific order known as the Aufbau principle. Electrons fill the lowest energy orbitals first, progressing from lower to higher energy levels and from lower to higher subshells (s, p, d, f).

While it may seem intuitively stable to fill up each orbital with the maximum number of electrons before moving to the next, this would not adhere to the principles of quantum mechanics and would violate the Pauli exclusion principle. The unique distribution of electrons in different orbitals ensures that the atom maintains stability and follows the laws of quantum mechanics.

It's important to note that the stability of an atom is a result of the balance between the attractive forces (electromagnetic) holding the electrons in orbit around the nucleus and the repulsive forces between the negatively charged electrons. The specific arrangement of electrons within the orbitals is crucial in achieving this balance and maintaining the stability of the atom.

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