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Quantum Numbers and Atomic Orbitals - Angelo State …

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).

1. Principal Quantum Number (n): n = 1, 2, 3, …, 8. Specifies the energy of an electron and the size of the orbital (the distance from the nucleus of the peak in a radial probability distribution plot). All orbitals that have the same value of n are said to be in the same shell (level). For a hydrogen atom with n=1, the electron is in its

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