**1.**

Each such Atomic orbital can be occupied by a maximum of two electrons, each with its own projection of spin.

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Each such Atomic orbital can be occupied by a maximum of two electrons, each with its own projection of spin.

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The atomic orbital concept is therefore a key concept for visualizing the excitation process associated with a given transition.

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Fundamentally, an atomic orbital is a one-electron wave function, even though many electrons are not in one-electron atoms, and so the one-electron view is an approximation.

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The advantage of spherical coordinates here is that an Atomic orbital wave function is a product of three factors each dependent on a single coordinate: = R?T?F.

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Term "Atomic orbital" was coined by Robert Mulliken in 1932 as short for one-electron Atomic orbital wave function.

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Example, the orbital 1s is the lowest energy level and has an angular quantum number of, denoted as s Orbitals with are denoted as p, d and f respectively.

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Azimuthal quantum number describes the Atomic orbital angular momentum of each electron and is a non-negative integer.

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Simple pictures showing Atomic orbital shapes are intended to describe the angular forms of regions in space where the electrons occupying the Atomic orbital are likely to be found.

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If, the Atomic orbital is vertical, counter rotating information is unknown, and the Atomic orbital is z-axis symmetric.

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Atomic orbital model is nevertheless an approximation to the full quantum theory, which only recognizes many electron states.

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