What is the maximum number of electrons that can be contained in any orbit of an atom?

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The maximum number of electrons that can be contained in any orbital of an atom is derived from the principles of quantum mechanics and the Pauli exclusion principle. Each orbital can hold a specific number of electrons determined by the formula 2n², where n is the principal quantum number corresponding to the energy level of the orbital.

For the fourth energy level (n=4), the calculation would be:

2(4)² = 2(16) = 32.

This means that the maximum number of electrons that can occupy orbitals in the fourth energy level is 32. Thus, the correct answer accurately reflects this calculation according to quantum theory, demonstrating a clear foundational principle of atomic structure and electron configuration.

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