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In quantum mechanics, an atomic orbital is a mathematical function that describes the wave-like behavior of either one electron or a pair of electrons in an atom. This function can be used to calculate the probability of finding any electron of an atom in any specific region around the atom's nucleus.
Atomic Structure. The space every atom occupies is divided into two structural components: the nucleus and orbitals. The nucleus is the center of the atom, and orbitals surround the nucleus. Orbitals are different shapes depending on their energy; these shapes are calculated using quantum mechanics. A sphere is the most basic orbital shape; others include rings and teardrops.