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Quantum Numbers and Atomic Orbitals

Quantum Numbers , Atomic Orbitals , AND ELECTRON CONFIGURATIONS Quantum Numbers and Atomic Orbitals By solving the Schr dinger equation (H = E ), we obtain a set of mathematical equations, called wave functions ( ), which describe the probability of finding electrons at certain energy levels within an atom. A wave function for an electron in an atom is called an Atomic orbital; this Atomic orbital describes a region of space in which there is a high probability of finding the electron. Energy changes within an atom are the result of an electron changing from a wave pattern with one energy to a wave pattern with a different energy (usually accompanied by the absorption or emission of a photon of light). Each electron in an atom is described by four different Quantum Numbers .

The Pauli exclusion principle (Wolfgang Pauli, Nobel Prize 1945) states thatno two electrons in the same atom can have identical values for all four of their quantum numbers. What this means is that no more than two electrons can occupy the same orbital, and that two electrons in the same orbital must have opposite spins.

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