Table of Spherical Harmonics
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Table of Spherical Harmonics

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High Quality Content by WIKIPEDIA articles! This is a table of orthonormalized spherical harmonics that employ the Condon-Shortley phase up to degree l=10. Some of these formulas give the "Cartesian" version. This assumes x, y, z, and r are related to and varphi, through the usual spherical-to-Cartesian coordinate transformation. In mathematics, the spherical harmonics are the angular portion of a set of solutions to Laplace's equation. Represented in a system of spherical coordinates, Laplace's spherical harmonics Y_ell^m are a specific set of spherical harmonics that forms an orthogonal syst...